Answer:
4/7
Step-by-step explanation:
Answer:
x = 4/7
Step-by-step explanation:
-5x + 3 = 2x - 1
-3 -3
-5x = 2x - ( -4)
-(-2x) - (-2x)
- 7x = -4
——- ——
7 7
x = 4/7
Carson is going to see a movie and is taking his 2 kids. Each movie ticket costs
$14 and there are an assortment of snacks available to purchase for $3.50
each. How much total money would Carson have to pay for his family if he
were to buy 2 snacks for everybody to share? How much would Carson have
to pay if he bought x Snacks for everybody to share?
Total cost with 2 snacks:
Total cost with x sn
acks:
49 dollars
Step-by-step explanation:
14 times 3 is 42 and 3.50 times 2 is 7, so 42 plus 7 is 49.
Total cost with 2 snacks = $35
Total cost with x snacks = 28+3.50x
Given :
Carson is going to see a movie and is taking his 2 kids. Movie ticket costs $14 and snacks cost $3.50.
Explanation :
Carson buys 2 snacks . we need to find the total cost that Carson have to pay where he buy 2 snacks.
Total cost = cost of ticket (2 kids) + cost of 2 snacks
\(Total \; cost = 14(2) + 2(3.50)=35\)
Total cost with 2 snacks = $35
Total cost with x snacks = cost of ticket (2 kids) + cost of x snacks
\(Total \; cost = 14(2) + 3.50(x)\\Total \; cost = 28+3.50x\)
Total cost with x snacks = 28+3.50x
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A particle moves in the xy plane so that at any time
,
x=3sint
and
.y=t-4cost+1
What is the vertical component of the particle's location when it's horizontal component is 2?
Responses
y = -1.05
y = -1.05
y = -2.25
y = -2.25
y = -1.25
y = -1.25
y = 0.73
The vertical component of the particle's location, when its horizontal component is 2, is:
y = -1.25
How to solveTo find the vertical component of the particle's location when its horizontal component is 2, we need to first find the value of t when x = 2.
Given the equation:
x = 3sin(t)
Substitute x with 2:
2 = 3sin(t)
Now, isolate t by dividing both sides by 3:
sin(t) = 2/3
Take the inverse sine (arcsin) of both sides:
t = arcsin(2/3)
Now, plug the value of t back into the y equation:
y = t - 4cos(t) + 1
y = arcsin(2/3) - 4cos(arcsin(2/3)) + 1
Using a calculator to find the approximate value of y, we get:
y ≈ -1.25
Therefore, the vertical component of the particle's location when its horizontal component is 2 is:
y = -1.25
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Help me please help me help please help
Answer:
B
Step-by-step explanation:
if the number of chocolate changes the number of calories changes too
give brainlest if correct thank you :)
what is 18/40 in simplest form?
Answer:
9/20
Step-by-step explanation:
18 is divided by 2 equals 9
---
40 is divided by 2 equals 20
Find the solution set of this inequality. Select
the correct graph.
|-8x+4|>12
Answer:
The first option is correct
Step-by-step explanation:
Hope it is helpful....
for what values of x is x2+2x=24 true?
-6 and -4
-4 and 6
4 and -6
6 and 4
Answer:
It is actually choice c
Step-by-step explanation:
I took the test
Answer:
c
Step-by-step explanation:
banlest plzz
Write an equation in general form (Ax+By+C =0) for the line that passes through A(2, 4) and B(11, 8).
Answer:
4x - 9y + 28 = 0------------------------
Find the slope of AB:
m(AB) = (8 - 4)/(11 - 2) = 4/9Use point-slope form and point A(2, 4) to determine the line:
y - 4 = (4/9)(x - 2)Multiply both sides by 9 to clear fraction:
9(y - 4) = 4(x - 2)Open parenthesis and convert the equation into ax + by + c = 0:
9y - 36 = 4x - 8 ⇒4x - 9y - 8 + 36 = 0 ⇒4x - 9y + 28 = 0Samantha is buying a bike for $290. If sales tax is 6.4%, how much will be added to the price of the bike?
Answer:
18.56
Step-by-step explanation:
6.4% of 290 is 18.56
you find this by multiplying 290 by 0.064 (which is the decimal form of 6.4%)
Find the area of each figure. Use 3.14 for pi.
Answer:
23.14 m²
Step-by-step explanation:
square = 3 x 3 = 9 m²
the 4 semi-circles are equal to 2 complete circles, so:
radius = 3/2 = 1.5
semi-circles = (2)(3.14)(1.5²) = 14.14 m²
9 + 14.14 = 23.14 m²
Solve the equation:
13x³-159x²-412x-94=0
Answer:
First derivative the equation
39x²-318x-412=0
then use the quadratic formula
then x = 9.29 or x = -1.14
The equation C=24n+2 represents the cost
Jim did not buy any tickets (n_Jim = 0).
Larry bought 7 more tickets than Jim.
To determine the number of tickets Larry bought more than Jim, we need to find the values of n for Larry and Jim's ticket purchases.
For Larry:
Let's substitute C = $170 into the equation C = 24n + 2 and solve for n:
$170 = 24n + 2
Subtracting 2 from both sides:
$168 = 24n
Dividing both sides by 24:
n = 7
For Jim:
We can calculate the number of tickets Jim bought by subtracting 12 from Larry's number of tickets:
n_Jim = n_Larry - 12
n_Jim = 7 - 12
n_Jim = -5
Since we cannot have a negative number of tickets, we can conclude that Jim did not buy any tickets (n_Jim = 0).
To find the difference in the number of tickets bought, we subtract the number of tickets Jim bought from the number of tickets Larry bought:
n_difference = n_Larry - n_Jim
n_difference = 7 - 0
n_difference = 7
Therefore, Larry bought 7 more tickets than Jim.
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Question
The equation C=24n+2 represents the cost, C, in dollars, of buying n tickets to a play. J $170. How many more tickets did Larry buy than Jim? 12
How many 50ml can be filled from 5L
What is the value of -8(17-12)/-2(8-(-2))
Answer:
it's 2 got it right on edg
Step-by-step explanation:
what is the value of the expression if m=2 and n-6?
Answer:
where is the expression
Step-by-step explanation:
(^_^)(^_^)(^_^)
A cyclist rode 3.85 miles in 0.7 hours. How fast was she going in miles per hour?
A. 3.85 miles per hour
B. 0.18 miles per hour
C. 5.5 miles per hour
D. 1.4 miles per hour
I need help plzz I need help plzz
Ixl
Prove 4 7 and. 8
The completed two-column table used to prove that the triangles ΔUVW and ΔXST are congruent (ΔUVW ≅ ΔXST) can be presented as follows;
\({}\) Statements Reasons
1. ∠SXT ≅ ∠VUW \({}\) Given
2. ∠UVW ≅ ∠TSX \({}\) Given
3. \(\overline{TU}\) ≅ \(\overline{WX}\) \({}\) Given
4. TX = WX + TW \({}\) Additive property of length
5. UW = TU + TW \({}\) Additive property of length
6. TX = TU + TW\({}\) Substitution
7. UW = TX \({}\) Substitution
8. ΔUVW ≅ ΔXST \({}\) SAA congruence rule
What are congruent triangles?Congruent triangles are triangles such that the lengths of the three sides on a triangle are the same as the lengths of the three sides on the other (congruent) triangle.
The details of the reasons used to prove that the triangles ΔUVW and ΔXST are congruent are presented as follows;
Additive property of length
The additive property of length, which can be highlighted by the segment addition postulate, which states that a point B is located on a line segment AC, if and only if we have; AB + BC = AC
Substitution property
The substitution property states that if a = b then b can substitute a in any expression and the value of the expression remains the same, or in any equation and the equation remains valid.
SAA congruence rule
The Side-Angle-Angle, SAA congruence rule states that if two angles and a non included side of one triangle are congruent to two angles and a non included side in another triangle, the condition indicates that the triangles are congruent.
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A human hair was measured to be 8.0•10-4 inch thick. A cat hair is measured to be 4.0•10^-1. How much greater is the thickness of the cat hair than the human hair? Writ this in standard form.
Whoever gets this right I will mark brainiest and 60 points!!
Answer:
500 times
Step-by-step explanation:
Divide the thickness of a cat hair by the thickness of a human hair.
4.0 × 10^-1 / 8.0 × 10^-4 =
= 0.5 × 10^3
= 500
500 times
Side KN of figure KLMN is parallel to side LM. Figure KLMN is rotated 90 degress clockwise about Point P to produce Figure RSTU. Based on this information, select all statement that are true.
The figure KLMN is being rotated by 90°, which is a rigid transformation, the true statements are therefore;
(D) Figure RSTU is congruent to figure KLMN
(E) \( \angle T\) is the same measure as \( \angle M\)
How can the similarities between the two figures following the rotation be found?The given parameters are;
In KLMN, KN||LM
The transformation applied to figure KLMN = A 90° clockwise rotation about point P.
The image of KLMN following the rotation transformation is Figure RSTU.
Please find attached a drawing of the possible diagram in the question obtained from a similar question online.
The options from the question are;
(A) \( \overline{ST}\) is parallel to \( \overline{RU}\)
(B) \( \angle R\) is the same measure as \( \angle N\)
(C) \( \overline{RS} \) is the same length as \overline{MN}
(D) Figure RSTU is congruent to figure KLMN
(E) \( \angle T\) is the same measure as \( \angle M\)
A rotation transformation is a rigid transformation, therefore;
The distances between any two points on the pre–image is the same as the distance between corresponding points on the image, which gives;
Figure KLMN \( is congruent to \) Figure RSTU
Figure KLMN \( \cong \) Figure RSTU
According to the postulate, Corresponding Angles of Congruent Figures are Congruent, we have;
\( \angle T \cong \angle M\)
Which gives;
\( \angle T\) = \( \angle M\)
\( \angle T\) is the same measure as \( \angle M\)
The correct options are therefore;
(D) Figure RSTU is congruent to figure KLMN
(E) \( \angle T\) is the same measure as \( \angle M\)
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a rectangular auditorium seats 2244 people. The number of seats in each row exceeds the number of rows by 7. Find the number of seats in each row
Number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7. This can be obtained by assuming the value of number of seats in each row, forming quadratic equation and using quadratic formula to find root.
Find the number of seats in each row:
Here in the question it is given that,
a rectangular auditorium seats 2244 peoplenumber of seats in each row exceeds the number of rows by 7We have to find the number of seats in each row.
Let us assume that the number of seats in each row be x.
From the given statement, number of seats in each row exceeds the number of rows by 7, we can write that,
Number of seats in one row = Number of rows + 7
x = Number of rows + 7
⇒ Number of rows = x - 7
Total number of seats in the auditorium can be written as,
⇒ (Number of seats in one row)(Number of rows) = Total number of seats
(x)(x - 7) = 2244
x² - 7x = 2244
⇒ x² - 7x - 2244 = 0
By using quadratic formula we can find the root,
x = (-b ± √b² - 4ac)/2a
here in the question, a = 1, b = -7, c = -2244
√b² - 4ac = √(-7)² - 4(1)(-2244)
√b² - 4ac = √49 + 8976
√b² - 4ac = √9025
√b² - 4ac = 95
x = (-b ± √b² - 4ac)/2a
x = (7 ± 95)/2
x = 102/2 or x = -88/2
⇒ x = 51 or x = -44
Hence number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7.
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4. Calculate the estimated cost of constructing the following house in New
Orleans, Louisiana: a two-story home of 950 ft2 on the first floor and 800 ft²
on the second floor.
O A. $113,750
O B. $67,600
O C. $61,750
O D. $52,000
The estimated cost for constructing the house in New Orleans, Louisiana of the given square feet is option A. $113,750.
What is Multiplication?Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
Given that, construction rate per square feet is $65.
We have to find the estimated cost for a two-story home of 950 ft2 on the first floor and 800 ft² on the second floor.
Total area of the plot = 950 ft² + 800 ft²
= 1750 ft²
Estimated cost can be calculated by multiplying total area with the construction rate per square feet.
Estimated cost = 1750 ft² × $65
= $113,750
Hence the estimated cost is $113,750.
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What should be the third row in the following series of shapes
Answer:
The answer is number 2
Last year, Maria earned $310 per week. This year, her salary increased to $331 per week. By what percent did her salary increase? Round the answer to the nearest tenth.
D. 6.8%
1) Since Maria had a wage of $310 and it was increased to $331 then we can find out how much was that increase by setting a proportion:
$ %
310--------------100
331 ------------ x
2) According to the Proportion property we can cross multiply those numbers
310x= 331 * 100
310x = 33100 Divide both sides by 310
x= 106.77%
3) Subtracting 100% from 106.77 w
100-106.77 = 6.77%
6.77% rounding up to the nearest tenth is 6.8
Vinita multiplies all numbers from 7 to 18. what is the no. obtained in the units digit of the final product
Answer:
0.
Step-by-step explanation:
First lets multiply all the numbers: 7 x 8 x 9 x 10 x 11 x 12 x 13 x 14 x 15 x 16 x 17 x 18. You'll get: 8892185702400. The units digit of this number is: 0.
Question 8(Multiple Choice Worth 2 points)
(Writing Two-Step Equations MC)
A new gaming chair costs $455.95. You have already saved $155.95 and earn $37.50 each week babysitting. Write and solve an equation to determine how many weeks, w, you must babysit to earn enough money to buy the new gaming chair.
37.5 + 155.95w = 455.95; w = 8
37.5w + 155.95 = 455.95; w = 8
37.5w − 155.95 = 455.95; w = 16
37.5w − 455.95 = 155.95; w = 16
37.5w + 155.95 = 455.95; where w = 8; signifies the number of weeks required to babysit the business in order to purchase the gaming chair.
How do equations work?A mathematical formula that connects two expressions with the equals sign (=) expresses the equality of the two expressions. For instance, in English, an equation is any properly stated formula that consists of two expressions linked by the equals sign, whereas in French, an equation is described as containing one or more variables. To solve a variable equation, identify the values of the variables that cause the equality to hold true. The answer is known as the values of the variables that must satisfy the equality.
Equations can be categorized as identities or conditional equations.
w = (455.95-155.95)/(37.50)
=300/37.50
=8
So, number of weeks = 8
As a result, w = 8 and 37.5w + 155.95 = 455.95 is the solution.
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Given two points (2, 7) and (1, -2) on a line, calculate the slope of the line.
A. slope 7
B. slope 8
C. slope 9
D. slope 10
Answer:
Step-by-step explanation:
Slope of line passing through (2, 7) and (1, -2) = (-2-7)/(1-2) = 9
WILL GIVE BRAINLIEST AND THANKS AND 5 STARS
Susan will graph the line y = -4x +3 Which TWO points will lie on the line Susan graphed?
Answer:
(0, 3) (0.75, 0)
Step-by-step explanation:
What are the possible pairs of side lengths of a rectangle with area 201 pointsquare units? *
Answer:
The possible pairs
Explanation:
The area of a rectangle of length L, and width W is given as:
\(A\text{ = L}\times W\)Given that the area is 20 square units, and knowing that a rectangle is a quadilateral with equal opposite sides, it is possible to have any of the following pairs of side length:
(4, 5), (2, 10), (2.5, 8), ...
1/2+1 1/10 whats the result?
the result is 1.6 i believe .
You have a friend that feels tired so often that they use coffee to try to waken themselves up in the afternoon. They typically drink a venti Starbucks coffee at 4:00 pm in the afternoon. They go to bed around 10:00 pm must wake up at 6:00 am. You’re concerned that drinking the coffee may be affecting their sleep habits and using coffee to solve the problem is only making it worse.
•The amount of caffeine in a venti Starbucks coffee is 415mg
•Every hour, the amount of caffeine in your body decreases by 12%
•People that have 300mg of caffeine at bedtime experience severe sleep disruption
•People that have 50mg of caffeine at bedtime can experience a loss of one hour of sleep
•Recommend sleep time for teenagers is 8-10 hours
Create a report to determine if your friend needs to change their coffee drinking habits.
Answer:
Not sure how to answer that but i am that friend getting a venti strabucks everyday and i go to sleep at 4-6 am and wake up at sometime between 10-1 pm
Step-by-step explanation: