Given the equation:
\(-7=\frac{3y+7}{4}-\frac{9y-5}{2}\)We will solve the equation to find y
Multiply the equation by 4 to eliminate the denominators
\(\begin{gathered} 4(-7)=4\cdot\frac{3y+7}{4}-4\cdot\frac{9y-5}{2} \\ \\ -28=(3y+7)-2(9y-5) \\ -28=3y+7-18y+10 \end{gathered}\)Combine the like terms
\(\begin{gathered} -28=(3y-18y)+(7+10) \\ -28=-15y+17 \\ \end{gathered}\)Subtract (17) to both sides
\(\begin{gathered} -28-17=-15y+17-17 \\ -45=-15y \end{gathered}\)Divide both sides by (-15)
\(\begin{gathered} \frac{-45}{-15}=\frac{-15y}{-15} \\ \\ y=3 \end{gathered}\)So, the answer will be y = 3
what fraction is equal to -8/24
\( \frac{ - 8}{24} = \frac{ - 4}{12} = \frac{1}{ - 3} = - \frac{1}{3 } \\ \)
Answer:
1/32/68/242/34/616/241/42/88/323/46/824/32
To go on a summer trip, Ravi borrows $800. He makes no payments until the end of 3 years, when he pays off the entire loan. The lender charges simple interest at an annual rate of 5%. Answer the following questions. If necessary, refer to the list of financial formulas. (a) How much total interest will Ravi have to pay? Х 5 ? s) (b) What will the total repayment amount be (including interest)?
Answer:
srry but search 12 z6xs
Step-by-step explanation:
(a) The total interest that Ravi will have to pay is $120. (b) The total repayment amount will be $920.
a) The interest rate is 5% per year, so Ravi will pay 5% * 800 = $40 per year in interest.
Since he borrowed the money for 3 years, he will pay a total of 3 * 40 = $120 in interest.
b) The total repayment amount will be the principal amount of $800 plus the interest of $120, for a total of 800 + 120 = $920.
Simple interest formula: I = P * r * t
Where:
I is the interest
P is the principal amount
r is the interest rate
t is the time in years
Interest per year: 5% * 800 = $40
Total interest: 3 * 40 = $120
Total repayment amount: 800 + 120 = $920
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Help I will brainliest your answer
Answer: y=12
Step-by-step explanation:
96=8y
96/8=y
12=y
jamie uses 54 buttons to make shirts. jamie uses 6 buttons to make each shirt. how many shirts did she make?
Answer: 9 shirts I think
Step-by-step explanation: 54/6=9
7.
(02.01 MC)
Six-year-old students at an elementary school were given a 20-yard head start in a race. The graph shows how far the average student ran in 30 seconds.
A line graph with Distance, in yards, on the x axis and Age of Runner on the y axis. The x axis has a scale from 0 to 80 in increments of 10. The y axis has a scale of 0 to 8 in increments of 2. A straight line connecting 20, 6 and 60, 6 is drawn.
Which statement best describes the domain of the function represented in the graph? (1 point)
6 ≤ x ≤ 60, or x is from 6 to 60
6 ≤ x ≤ 20, or x is from 6 to 20
0 ≤ x ≤ 20, or x is from 0 to 20
20 ≤ x ≤ 60, or x is from 20 to 60
HELP
The domain of the function represented in the graph will be 20 ≤ x ≤ 60, or x is from 20 to 60. Then the correct option is D.
What is a line segment?A line segment in mathematics has two different points on it that define its boundaries.
A line segment is sometimes referred to as a section of a path that joins two places.
Six-year-old students at an elementary school were given a 20-yard head start in a race. The graph shows how far the average student ran in 30 seconds.
A line graph with Distance, in yards, on the x-axis and Age of the Runner on the y-axis. The x-axis has a scale from 0 to 80 in increments of 10. The y-axis has a scale of 0 to 8 in increments of 2. A straight line connecting 20, 6, and 60, 6 is drawn.
The domain of the function represented in the graph will be 20 ≤ x ≤ 60, or x is from 20 to 60. Then the correct option is D.
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Answer:
the correct option is D
Step-by-step explanation:
The outside diameter of an electrical conduit is 6.3 centimeters. The thickness of the conduit is 0.4 centimeter. Find the inside diameter of the conduit. Carry the answer to one decimal place.
Answer:
5.5 cm
Step-by-step explanation:
You want the inside diameter of a conduit with an outside diameter of 6.3 cm and a wall thickness of 0.4 cm.
WallsThere is a wall at each end of the inner diameter, so it will differ from the outside diameter by twice the wall thickness:
6.3 cm - 2×0.4 cm = 5.5 cm
The inside diameter is 5.5 cm.
Exercise
find the truth set of the
1.5(3x-5)-2(x-7)=11
PLZZ ANSWER AS SOON AS POSSIBLE!!
Make a mathematical argument that you can use the distributive property to make another inequality with the same exact same solution set.
Answer:
Step-by-step explanation:
I’m srry just need points so…
3/16 divided by 2 1/4
Answer:
0.08333333333
Step-by-step explanation:
The graph below shows triangle A and triangle B. The side lengths of triangle A are proportional to the side lengths of triangle B, and the corresponding angle measures of the two triangles are equal. image b63beb85ff8941fb976339f638c35c47 Which statement BEST describes the relationship between triangle A and triangle B? A The triangles are similar but not congruent. B The triangles are congruent but not similar. C The triangles are both similar and congruent. D The triangles are neither similar nor congruent.
Answer:A.The triangles are similar but not congruent
Step-by-step explanation:
In a congruent traingle:
the both triangles are same in shape and size
There are five theorems to see if the triangles are congruent
and neither particularly applies here
sss: the sides are not equal
as none of the sides are equal, then despite the angles, congruence is not possible
However it is evident that one of the triangles is proportionally bigger than the other but similar. Hence A is correct.
Step-by-step explanation:
Solve the formula for the specified variable.
F
\(D=\frac{1}{5}kf \\ \\ 5D=kf \\ \\ \boxed{f=\frac{5D}{k}}\)
IS 303 2022 Summer Packet for Incoming
Ms. Hamilton wants to put a decorative iron fence (rather like Winnie's in Tuck Everlasting)
around her yard. The yard is a perfect rectangle: its length is 24.75 feet and its width is 12.75
feet. Home Depot charges $50 a yard for iron fencing.
66.) How many feet of fencing does Ms. Hamilton need to buy?
67.) What do you call the distance around a rectangle?
Math in the Real World (Leave in packet)
68.) Write a detailed explanation of at least 3 ways that you used math this summer (other
completing this packet). How did these skills help you be successful in the real world? W
skills do you hope to develop this year in math?
66) The number of feet of fencing that Ms. Hamilton needs to buy is 75 feet.
67) The distance around a rectangle is called a perimeter.
68) What are the instances of the use of Maths skills?The use of Mathematics skills is all-encompassing. Every activity involves some mathematical calculations and the use of mathematical operations, like additions, subtractions, divisions, and multiplication.
When you visit a Merchandise Store, you undertake some mathematical activities by computing how much is needed and the balance you will get. Future projections depend on maths skills.
For instance, budgeting how much it costs you weekly to maintain your hairstyle also involves maths skills.
As you return to school after the summer breaks, you decide how much savings you must spend. It is maths. Any time calculations are involved, it requires maths.
Data and Calculations:Length of the yard = 24.75 feet
Width of the yard = 12.75 feet
Perimeter of the yard = 75 feet (24.75 + 12.75)2
Charges for a yard of iron fencing = $50 per yard
3 feet = 1 yard
75 feet = 25 yards (75/3)
The cost of 25 yards = $1,250
Thus, Ms. Hamilton will need to spend $1,250 on this decorative iron fence project.
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Find the vertex.
f(x) = 4(x - 2)² +11
([?],[_])
(2, 11) is the vertex of f(x) = 4(x - 2)² +11.
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax2+bx+c=0. with a ≠ 0 .
The given equation is f(x) = 4(x - 2)² +11.
The vertex form is y=a(x-h)²+k
y=a(x-h)²+k of a parabola is said to be in vertex form because the vertex can be determined by examining the equation: (h, k) is the vertex.
(h, k) are the vertices of the given equation.
a=4,
h=2 and
k=11
so the (2,11) is the vertex of the function.
Hence, the vertex of f(x) = 4(x - 2)² +11 is (2, 11).
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need help on this pls.
9514 1404 393
Answer:
∠G ≅ ∠U
Step-by-step explanation:
G is the 3rd letter in the triangle name on the left side of the congruence statement.
U is the 3rd letter in the triangle name on the right side of the congruence statement.
∠G ≅ ∠U
_____
Corresponding parts are listed in the same order in congruence and similarity statements.
PLEASSSSEEEE ANSWER QUICK
Find values for a and b that makes the following into an identity
\(\frac{2}{(x+3)(x-2)}=\frac{a}{x+3}+\frac{b}{x-2}\)
Answer:
\(\displaystyle a=-\frac{2}{5}\text{ and } b=\frac{2}{5}\)
Step-by-step explanation:
We have the equation:
\(\displaystyle \frac{2}{(x+3)(x-2)}=\frac{a}{x+3}+\frac{b}{x-2}\)
And we want to find a and b such that the equation is true.
First, we can multiply everything by (x+3)(x-2). So:
\(\displaystyle (x+3)(x-2)\frac{2}{(x+3)(x-2)}=(x+3)(x-2)(\frac{a}{x+3}+\frac{b}{x-2})\)
Distribute:
\(\displaystyle 2=\frac{(x+3)(x-2)a}{x+3}+\frac{(x+3)(x-2)b}{x-2}\)
Simplify:
\(2=a(x-2)+b(x+3)\)
Now, we can determine a and b.
We will let x=2. Then:
\(2=a(2-2)+b(2+3)\)
Simplify:
\(2=5b\)
So:
\(\displaystyle b=\frac{2}{5}\)
Next, we will let x=-3. Then:
\(2=a(-3-2)+b(-3+3)\)
Simplify:
\(2=-5a\)
So:
\(\displaystyle a=-\frac{2}{5}\)
Therefore, our entire equation is:
\(\displaystyle \frac{2}{(x+3)(x-2)}=\frac{-\frac{2}{5}}{x+3}+\frac{\frac{2}{5}}{x-2}\)
Or, simpler:
\(\displaystyle \frac{2}{(x+3)(x-2)}=-\frac{2}{5(x+3)}+\frac{2}{5(x-2)}\)
Is the event independent or overlapping:
A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?
Mutually exclusive or independent:
A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5.
Mutually exclusive or overlapping:
A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that is is a milk chocolate or has no peanuts inside?
Mutually exclusive or independent:
You flip a coin and then roll a fair six sided die. What is the probability the coin lands on heads up and the die shows an even number?
The first question:
"A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?"
Since the spinner has an equal chance of landing on each of its eight regions, the probability of landing on region three is 1/8, and the probability of landing on region six is also 1/8.
To find the probability of both events occurring (landing on region three and region six), you multiply the probabilities together:
P(landing on region three and region six) = P(landing on region three) * P(landing on region six) = (1/8) * (1/8) = 1/64.
Therefore, the probability of landing on both region three and region six is 1/64.
The events are mutually exclusive because it is not possible for the spinner to land on both region three and region six simultaneously.
--------------------------------------------------------------------------------------------------------------------------
The second question:
"A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5?"
To find the probability of either event occurring (purple or number greater than 5), we need to calculate the probabilities separately and then add them.
The probability of picking a purple jersey is 4/10 since there are four purple jerseys out of a total of ten jerseys.
The probability of picking a jersey with a number greater than 5 is 2/10 since there are two jerseys numbered 6 and above out of a total of ten jerseys.
To find the probability of either event occurring, we add the probabilities together:
P(purple or number greater than 5) = P(purple) + P(number greater than 5) = (4/10) + (2/10) = 6/10 = 3/5.
Therefore, the probability of picking a purple jersey or a jersey with a number greater than 5 is 3/5.
The events are overlapping since it is possible for the jersey to be both purple and have a number greater than 5.
--------------------------------------------------------------------------------------------------------------------------
The third question:
"A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that it is a milk chocolate or has no peanuts inside?"
To find the probability of either event occurring (milk chocolate or no peanuts inside), we need to calculate the probabilities separately and then add them.
The probability of selecting a milk chocolate is 6/10 since there are six milk chocolates out of a total of ten chocolates.
The probability of selecting a chocolate with no peanuts inside is 7/10 since there are seven chocolates without peanuts out of a total of ten chocolates.
To find the probability of either event occurring, we add the probabilities together:
P(milk chocolate or no peanuts inside) = P(milk chocolate) + P(no peanuts inside) = (6/10) + (7/10) = 13/10.
Therefore, the probability of selecting a milk chocolate or a chocolate with no peanuts inside is 13/10.
The events are mutually exclusive since a chocolate cannot be both a milk chocolate and have no peanuts inside simultaneously.
--------------------------------------------------------------------------------------------------------------------------
The fourth question:
"You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows an even number?"
The probability of the coin landing heads up is 1/2 since there are two possible outcomes (heads or tails) and they are equally likely.
The probability of rolling an even number on the die is 3
/6 or 1/2 since there are three even numbers (2, 4, and 6) out of a total of six possible outcomes.
To find the probability of both events occurring (coin lands heads up and die shows an even number), we multiply the probabilities together:
P(coin lands heads up and die shows an even number) = P(coin lands heads up) * P(die shows an even number) = (1/2) * (1/2) = 1/4.
Therefore, the probability of the coin landing heads up and the die showing an even number is 1/4.
The events are independent since the outcome of flipping the coin does not affect the outcome of rolling the die.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Which of the following effects of a BAC of .2 percent does NOT relate to one’s driving ability?
A. lack of coordination
B. Breathalyzer test results indicating a high BAC
C. Impaired gross motor skills such as walking or gestures
D. Impaired reactions
It is either between B or C.
The effect that does NOT relate to one's driving ability is breathalyzer test results indicating a high BAC. Option B.
Breathalyzer testWhile the breathalyzer test measures the blood alcohol concentration (BAC), it is a method used to determine the level of alcohol in a person's system and is commonly used in assessing impairment for driving under the influence.
Therefore, it directly relates to one's driving ability and is not excluded from the effects on driving ability caused by a BAC of .2 percent.
On the other hand, options, lack of coordination, impaired gross motor skills, and impaired reactions all directly relate to one's driving ability as they affect the physical and cognitive abilities necessary for safe and efficient driving.
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Someone help on this question ASAP
Answer:
\(Q(-2,3) \longrightarrow Q'(-1/3, 1/2) \\ \\ R(-3,1) \longrightarrow R'(-1/2, 1/6) \\ \\ T(2,-1) \longrightarrow T'(1/3, -1/6) \\ \\ W(2,4) \longrightarrow W'(1/3, 2/3)\)
Step-by-step explanation:
For a dilation at the origin, multiply each of the coordinates by the scale factor.
\(Q(-2,3) \longrightarrow Q'(-1/3, 1/2) \\ \\ R(-3,1) \longrightarrow R'(-1/2, 1/6) \\ \\ T(2,-1) \longrightarrow T'(1/3, -1/6) \\ \\ W(2,4) \longrightarrow W'(1/3, 2/3)\)
b) Write an equation of the line that crosses the graph of f(x) at x=-1 and x=2
Answer:
Step-by-step explanation:
let it passes through (-1,y1) and (2,y2)
\(slope=\frac{y2-y1}{x2-x1} =\frac{y2-y1}{2-(-1)} =\frac{y2-y1}{3} \\eq. ~of~line~is~\\y-y1=\frac{y2-y1}{3} (x+1)\\3y-3y1=xy2-xy1+y2+y1\\3y=(y2-y1)x+y2+4y1\)
136 minutes - hours and minutes
Answer:
That would equal.... 2 hours and 16 minutes
Have a great day!
Please help!! Solve for x. Assume that lines which appear to be diameters are actual diameters.
Answer:
A)-4
Step-by-step explanation:
180=120+x+64
x=180-120-64
x=-4
Evaluate 4 + (m - n) ^4when m
7 and n = 5.
) The value of the expression is
Answer:
20
Step-by-step explanation:
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The value of the expression 4 + \((m - n)^4\) at m = 7 and n = 5 is 20.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example:
2 + 3x + 4y = 7 is an expression.
3 + 4x = 5 is an expression.
We have,
An expression:
4 + \((m - n)^4\)
We will solve the expression when m = 7 and n = 5.
Now,
4 + \((m - n)^4\)
= 4 + \((7 - 5)^4\)
= 4 + \(2^{4}\)
\(2^{4}\) = 2 x 2 x 2 x 2 = 16
= 4 + 16
= 20
Thus,
The value of the expression 4 + \((m - n)^4\) at m = 7 and n = 5 is 20.
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Find the length of BC to the nearest teeth of a foot.
Determine the length of BC by using trigonometry for the angle A.
\(\begin{gathered} \sin 64=\frac{BC}{AB} \\ 0.899=\frac{x}{2.7} \\ x=2.7\cdot0.899 \\ =2.4273 \\ \approx2.4 \end{gathered}\)So answer is 2.4 foot.
14. Jill tossed a coin three times. Draw a tree diagram to represent the sample space.
Here is a tree diagram to represent the sample space of Jill tossing a coin three times:
H T
/ \ / \
H T H T
/ \ / \ / \ / \
H T H T H T H T
What is sample space?The concept of the sample space is fundamental to the calculation of probabilities because it defines the set of all possible outcomes that we are interested in measuring the likelihood of. By specifying the sample space, we can define events (subsets of the sample space) and assign probabilities to those events.
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Please help!!
One thousand people stood in a very large circle. Each person wore a sign on their back
with a numeral from 1 to 1000, in a clockwise sequence. They began counting off. The
first person, person A, said "one-in," and remained in the circle. Person B, the person to
the left of A, said "two-out," and left the circle. The person to the left of B, person C, said
"three-in," and remained in the circle. The person to the left, person D, said "four-out,"
and stepped out of the circle.
So it continued with each person wearing an odd number saying "in," and remaining in
the circle, and with every person wearing an even numeral leaving the circle.
It was easy to visualize who remained in the circle when the count off made it all the way
around back to the first person. Since the last person said "one thousand-out," person A,
the first person, said "one-in," and stayed in, while person C, now the next person, said
"three-out," and left the circle. This process would keep going on and on until only one
person was left in the circle.
Who was the last person standing?
The person who gets to say the last number, 1000, will be Person 6.
Here, we have,
In this scenario, we have seven people sitting in a circle and counting clockwise. The goal is to determine which person will say the last number when they reach 1000. To solve this problem, we can use the concept of modular arithmetic.
When dividing 1000 by the total number of people (7), we get a quotient of 142 and a remainder of 6 (1000 = 142*7 + 6). This means that after completing 142 full rounds of counting, the group will have reached the number 994 (142*7). In the next round, they will continue counting from 995 to 1000.
Since the remainder is 6, it indicates that the last number (1000) will be spoken by the person sitting 6 positions after the first person in the circle (clockwise). In other words, Person 1 says numbers 1, 8, 15, and so on, while Person 6 will say 6, 13, 20, and so on.
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complete question:
10) Seven people sit in a circle and begin counting clockwise starting from 1.Each person in the group is keeping track of the numbers she is saying (e.g. 1,8, 15...) If they continue in this way, counting on and on, until they reach 1000, which person will get to say the last number
Fares finds 16 acorns at the
park. Marek finds 18 acorns.
How many acorns do they
find?
acorns
Josh Filled up the gas tank on his truck and decided to collect some data that he could use to determine the fuel Efficiency of his vehicle.
The x-intercept of the equation y=-13x+234 is (18,0).
What is the point slope form?The point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point.
The equation of the point slope form is: (y - y₁) = m(x - x₁)
where, (x, y) is a random point on the line and m is the slope of the line.
1) From the give table, we have (18, 0) and (15, 39).
Here, slope(m) = (39-0)/(15-18)
m= -13
2) Substitute m= -13 and (x₁, y₁)=(18, 0) in point slope form, we get
(y-0)= -13(x-18)
y=-13x+234
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): (18,0)
y-intercept(s): (0,234)
Therefore, the x-intercept of the equation y=-13x+234 is (18,0).
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the receipt you are using indicate that a mixture should be heated to a temperature of 132F.The mixture is currently at 109F. how many more degrees d does the mixture need to be heated
The mixture must be heated an amount of 23 °F to reach a temperature of 132 °F.
How much must the receipt be heated to be at recommended temperature?
Temperature is the measure of how "hot" a system is. Physically speaking, temperature is closely related to atomic and molecular motion within a system. In this problem we find a mixture that must be at a certain temperature, higher than its real one.
Therefore, the amount required to increase the temperature of the mixture is defined by following subtraction:
ΔT = R - r
Where:
ΔT - Temperature difference, in degrees Fahrenheit.r - Real temperature, in degrees Fahrenheit.R - Expected temperature, in degrees Fahrenheit.If we know that r = 109 °F and R = 132 °F, then the temperature difference is:
ΔT = 132 °F - 109 °F
ΔT = 23 °F
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You pay 6% sales tax on a $250 purchase. How much was the tax?
Answer:
15
Step-by-step explanation:
To find the tax multiply the cost of the item by 6%
250 * 6%
Change to decimal form
250 *.06
15
Answer:
15
Step-by-step explanation:
convert the percentage to a decimal
6/100 = 0.06
then times by the number you given
6% x 250
y = 4x + 8 and 12x + 3y = 7
Answer: x is approximately 1.41 (rounded)
Step-by-step explanation:
12x+ 3(4x+8)= 7
12x+12x+24=7
24x+23=7
24x=-17
x is approximately -1.41 (rounded)