Answer:
(3 1/3)·(y + (1 1/8)) = 6 11/12
(9/3 + 1/3)·(y + (8/8 + 1/8)) = 72/12 + 11/12
10/3·(y + 9/8) = 83/12
y + 9/8 = 83/12·3/10
y + 9/8 = 83/4·1/10
y + 9/8 = 83/40
y = 83/40 - 9/8
y = 83/40 - 45/40
y = 38/40
y = 19/20
206) A recipe for cupcakes calls for 3-
3
10
200
7
sugar. Julio accidentally put in 4-
10
How many extra cups did he put in?
cups of
cups.
Julio accidentally put in an extra 1/10 cup of sugar.
To calculate the number of extra cups of sugar that Julio put in, we need to find the difference between what the recipe called for (3/10 cups) and what he actually added (4/10 cups).
The difference can be calculated as follows:
Actual amount - Required amount = Extra amount
= 4/10 - 3/10
= 1/10
Therefore, Julio accidentally put in an extra 1/10 cup of sugar.
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1853
1854
1850
1851
1852
YEAR
1841
1847
1848
1849
8:59
NUMBER
OF IRISH
IMMIGRANTS
37,772
105,536
112,934
159,398
164,004
221,253
159,548
162,649
101,606
Which of the following statements mos
accurately describes patterns of Irish
immigration in the mid-19th century?
O It remained relatively unchanged.
O
It continually increased between
1847 and 1854.
The statement that most accurately describes patterns of Irish immigration in the mid-19th century is: its peaked in approximately 1851. The Option D is correct.
What was pattern of Irish immigration to US in mid 19th century?Irish immigration to the United States in the mid-19th century was characterized by several factors:
Timing: Irish immigration to the United States peaked in the mid-19th century, particularly in the decades following the Great Famine of 1845-1852. During this time, millions of Irish fled to the United States to escape poverty and famine at home.Destination: Irish immigrants tended to settle in cities, particularly in the Northeast, such as Boston, New York, and Philadelphia. These cities offered employment opportunities and a supportive Irish-American community.Employment: Many Irish immigrants in the mid-19th century worked in manual labor jobs, such as construction, manufacturing, and domestic service. They faced significant discrimination and prejudice from the American-born population, who often considered them to be inferior and less capable.Read more about Irish immigration
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Solve 25=q+14.
Q=?
Can someone help please?
Answer:
11
Step-by-step explanation:
just flip the problem around 14+q=25
then do 25-14
Thats your Q
show work if possible
Answer:
B. 14,525
Step-by-step explanation:
If a tablet costs $35 and the school is purchasing tablets for every student, then the total cost to buy tablets for the whole school would be:
$35 x 415 = $14,525
Therefore, the answer is B. $14,525.
What is the common difference in this sequence?{48, 32, 16, 0, ...
I rode my bike to my
grandparents' house in 1
hours and 15 minutes. My
grandparents live 33 blocks
from me, and each block is
560 feet. What was my
average speed in miles per
hour?
(Hint: 5,280 feet per mile)
By using the formula of average speed, it can be inferred that
My average speed is 14 miles per hour
What is average speed?
Speed of an object is the distance covered by the object per unit time
Average speed is calculated by dividing the total distance covered by the total time taken
Length of one block = 560 feet = \(\frac{560}{5280}\) miles
Number of blocks = 33
Total distance = \(\frac{560}{5280} \times 33\\\)
= \(\frac{7}{2}\) miles
Total time = 15 minutes = \(\frac{15}{60}\) hours = \(\frac{1}{4}\) hours
Average speed = \(\frac{\frac{7}{2}}{\frac{1}{4}}\) = \(\frac{7}{2} \times 4\) = 14 miles per hour
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Explain how to use the Pythagorean Theorem to find the missing length of a right triangle.
Answer:
Step-by-step explanation:
Pythagorean theorem,
Hypotenuse² = base² + altitude²
Substitute the known values and you can find the missing length
If 8 - x = 17, then find the value
of 6x - 22
Answer: -25
Step-by-step explanation: 8 - x = 17 ~ x=-9 6*(-9)-22=-25
Two boxes need to be wrapped in paper (with no overlap). Both boxes are in the shape of right rectangular prisms.
Box A measures 1.2 feet high, 0.6 feet long, and 1 foot wide. Box B measures 1.6 feet high, 0.5 feet long and 1.6 feet wide.
The wrapping paper costs $6.79 per 80 square feet.
What is the cost of wrapping both boxes?
Enter your answer in the box.
The cost of wrapping both boxes would be = $1.13
How to o calculate the area of rectangular prisms?Surface Area of a rectangular prism = 2 (lh +wh + lw )
For box A;where length = 0.6
width = 1
height =1.2
The surface area of Box A
= 2( 0.6×1.2+1×1.2+0.6×1)
= 2( 2.52)
= 5.04ft²
For box B ;where length = 0.5
width = 1.6
height =1.6
Area = 2(0.5×1.6+1.6×1.6+0.5×1.6)
= 2(4.16)
= 8.32ft²
The total area of the boxes = 5.04+8.32 = 13.36
But 6.79 = 80 ft²
X = 13.36ft²
make X the subject of formula;
X = 13.36×6.79/80
X = 90.7144/80
X= $1.13
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Which equation is true?
An equation which is true include the following: A. 4 × n × n × n × n = 4n⁴.
What is an exponent?In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.
This ultimately implies that, an exponent is represented by the following mathematical expression;
bⁿ
Where:
the variables b and n are numerical values (numbers) or an algebraic expression.n is referred to as a superscript or power.By applying the multiplication law of exponents for powers to each of the expressions, we have the following:
4 × n × n × n × n = 4n⁴
4 × n⁴ = 4n⁴
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If g(x)=5|30x+4|, find g(2/3)
Answer:
Step-by-step explanation:
g(x)=5|30x+4|
g(2/3)=5|30×2/3+4|
=5|20+4|
=5×24
=120
The meaning of an inequality depends on the __________________of the inequality sign.
Answer:
Denpeds on the left hand side of nagetive of the inequality sign
Page 2
QUESTION 1
1.1 Factorise the following expressions fully:
(2)
1.1.1
4x - x²
1.1.2
(2)
x² – 8y3
(2)
1.1.3
x² + 15x - 54
6x2y - 10xy + 15x - 25
1.1.4
(3)
help me understand this I'm new to this
9514 1404 393
Answer:
x(4-x)no factorization. x² -8y³(x +18)(x -3)(2xy +5)(3x -5)Step-by-step explanation:
Factoring is taking apart products. It helps immensely if you are familiar with how products are formed. That is, it helps to be familiar with your multiplication tables and the rules of divisibility. It also helps to have thorough understanding of the distributive property and the forms produced by the multiplication of binomials.
The first step is to look for any factors that are common to all of the terms you are factoring. Next steps include ...
look for any special forms (square of binomial, difference of squares, sum or difference of cubes)see if factoring by grouping can work.__
1.1.1 4x -x^2
There is only one constant, so no constant factors. The variable x appears in all terms, with a lowest power of 1, so x^1 = x is a factor.
= x(4 -x) . . . . . . . cannot be factored further
__
1.1.2 x² -8y³ . . . . we assume this is the intended expression. (It helps to use appropriate (and consistent) exponent presentation: x^2 -8y^3, or x² -8y³.
There are no common numerical factors, no common variable factors, and the form is not the difference of squares or cubes. This expression cannot be factored.
__
1.1.3 x² +15x -54
This is a trinomial in a single variable (x), so may be factorable as the product of two binomials. The product of binomial factors will have the form ...
(x -p)(x +q) = x² +(q-p)x -pq
This means we are looking for two factors of 54 that have a difference of 15. Here is where your familiarity with numerical factoring is helpful.
54 = 54×1 = 27×2 = 18×3 = 9×6
Differences of the factors are 54-1=53, 25, 15, 3. The factor pair we're looking for is 18×3. Comparing that to the above form, we see that q=18 and p=3, so the factorization is ...
= (x -3)(x +18)
__
1.1.4 6x²y -10xy +15x -25
There are no numerical or variable factors that are seen in all terms. However, we notice that pairs of terms have common factors. Factoring those out gives ...
= (2xy)(3x -5) +5(3x -5)
At this point, we notice that (3x -5) is a factor of both of these terms, so we can factor it out. This gives the complete factorization ...
= (2xy +5)(3x -5)
_____
Additional comment
Many methods are promoted for factoring trinomials. It is helpful to understand that the product of factors looks like ...
(ax +b)(cx +d) = acx² +(ad+bc)x +bd
That is to say, the product of the x² coefficient and the constant term (ac·bd) will have factors (ad, bc) that have a sum equal to the linear term coefficient. Once you realize this, finding the factorization is not so difficult. You look at the factor pairs of abcd in the same way we looked at factor pairs of -54 in problem 1.1.3 above.
HELP ASAP! Which of the following tables represents a linear function?
Table A -
x −2 −1 0 1 2
y 5 2 1 2 5
Table B -
x −2 −1 0 1 2
y 5 3 1 −1 −3
Table C -
x 3 3 0 3 3
y −2 −1 0 1 2
Table D -
x 0 1 2 3 4
y 0 −1 2 −3 4
Answer:
Table B -
x −2 −1 0 1 2y 5 3 1 −1 −3Step-by-step explanation:
You want to know which of the four offered tables represents a linear function.
DifferencesA linear function will have differences in y that have the same ratio to differences in x for all pairs of values in the table.
EvaluationTable A has x-differences that are 1 between adjacent terms. The y-differences are negative for the first pair of table values, but positive for the last pair (2 -5 vs 5 -2).
Table B has x-differences that are 1 between adjacent terms. The y-differences are -2 between any pair of adjacent terms, so their ratio to x-differences is -2/1 = -2, a constant. Table B represents a linear function.
Table C has x-differences that change from 0 to -3 to +3 while y-differences are constant at +1. The ratios of differences are not constant.
Table D has x-differences of +1, and y-differences that alternate in sign and magnitude.
Only Table B represents a linear function.
<95141404393>
Over what interval is the graph of f(x) = -(x + 3)? - 1 decreasing?
the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).
What is a function?
A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.
The given function is:
f(x) = -(x + 3) - 1
To find the interval over which the function is decreasing, we need to find the values of x where the function's derivative is negative.
The derivative of the function is:
f'(x) = -1
The derivative is a constant, which means the function has a constant slope of -1. Since the slope is negative, the function is decreasing over its entire domain.
Therefore, the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).
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According to the food label on a box cookies, each box has 16
servings and each sering contains 4 cookies. The weight of the
ba of cookies is Kilogroms. What is the weight of each
cooke?
I cant help you but I can give you the equation: 16 x 4 x weight per cookie = answer
Step-by-step explanation:
did you forget to write the whole question?
use implicit differentiation to find y" in terms of y and y.
The value of y' by implicit differentiation, the value of y is \(y = \sqrt{5x +c}\)
What is implicit differentiation?We differentiate each side of an equation with two variables by taking one as a variable and the rest are constant.
Given
The function is \(y^2 + 5 = 5x\)
where x and y are variables..
On differentiating the equation, we have;
\(2yy' + 0 = 5\)
on simplifying, we have
2yy' = 5
Now solve the equation explicitly for y and differentiate to get y' in terms of x.
2yy' = 5
Separate the variables
\(y^2 = 5x + c\)
Taking square root on both the side
\(y = \sqrt{5x +c}\)
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PLEASE HELP ME ........
Answer:
I can´t see...
Step-by-step explanation:
How do I find the possible degree(s) of a function from the graph alone?
Answer:
To determine the possible degree(s) of a function from the graph alone, you need to examine the behavior of the graph at the extremes (far left and far right) and consider the number of turning points or changes in direction. Here's a step-by-step approach:
Look at the far left side of the graph: Determine the behavior of the graph as it approaches negative infinity. Does the graph approach a specific value, such as a horizontal line (asymptote) or the x-axis? If the graph approaches a horizontal line, it suggests a polynomial function of even degree. If the graph approaches the x-axis, it indicates a polynomial function of odd degree or possibly a function with a root of multiplicity greater than one.
Look at the far right side of the graph: Determine the behavior of the graph as it approaches positive infinity. Similar to step 1, observe if the graph approaches a specific value or a horizontal line. The behavior at the far right side should be consistent with the behavior at the far left side. This can help you identify if the function is even or odd degree.
Examine the number of turning points or changes in direction: Count the number of times the graph changes direction. These points are where the slope of the graph changes from positive to negative or vice versa. The number of turning points can provide an indication of the degree of the polynomial. For example, if there are two turning points, it suggests a polynomial function of degree 3.
Remember that this method provides potential degrees, but it may not definitively determine the exact degree of the function. Additional information or analysis might be required for a more accurate determination.
Which term of the sequence 1/4;-1;-21/4;...is equal to -131/2
11, - 6, -1, 4, 9, 14, 19, ... are mapped onto 4. ... A;-l = (-ltQn (mod N),. (A5.34) ... 131 2, 14, 34, 38, 42, 78, 90, 178, 778, 974(1000).
Step-by-step explanation:
the nearest .1/2 incp, we say the 'unit 131/2 incl. 1.4 a measUrement is-stated tp- be 546 inch, this UM= the
Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
For triangle ABC (shown here), the value of angle BCD is equal to 30 degrees. If CD is the height of the triangle and is 12 centimeters, then what is the perimeter of triangle ABC?
The perimeter of triangle ABC could be either approximately 27.98 cm or approximately 14.66 cm, depending on the length of AB.
What is the perimeter?
The perimeter is a mathematical term that refers to the total distance around the outside of a two-dimensional shape. It is the length of the boundary or the sum of the lengths of all the sides of a closed figure.
Let's call the length of AB x and the length of BC y.
First, we can use the fact that CD is the height of the triangle to find the area of triangle ABC:
Area of triangle ABC = 1/2 * CD * AB
Substituting the given values, we have:
1/2 * 12 * x = 6x
So the area of triangle ABC is 6x square centimeters.
We can also use the fact that angle BCD is 30 degrees to set up a trigonometric equation involving x and y:
tan(30) = x/y
Simplifying, we get:
y = x/tan(30) = x/(1/√(3)) = √(3) * x
Now we can use the formula for the area of a triangle in terms of its sides:
Area of triangle ABC = 1/2 * AB * BC * sin(B)
where B is the angle between sides AB and BC. In this case, we know that angle BCD is 30 degrees, so angle BCA is 60 degrees, and angle ABC is 90 degrees. Therefore, we have:
Area of triangle ABC = 1/2 * x * √3 * x * sin(60)
Simplifying, we get:
Area of triangle ABC = 1/4 * √3 * x²
Since we already found that the area of triangle ABC is 6x square centimeters, we can set these two expressions equal to each other and solve for x:
6x = 1/4 * √(3) * x²
Multiplying both sides by 4/√3, we get:
24/√(3) * x = x²
Simplifying, we get:
x² - 24/√(3) * x = 0
Using the quadratic formula, we get:
x = (24/√(3) ± √((24/√(3))² - 410)) / 2*1
Simplifying, we get:
x = 16√(3) / 3 or x = 8 √(3) / 3
Since we are looking for the perimeter of triangle ABC, we need to find y as well. Using the equation we derived earlier, we have:
y = √(3) * x
Therefore, we have two possible triangles:
Triangle ABC1: AB = 16 √(3) / 3, BC = 16, and AC = 8 √7 / 3
Triangle ABC2: AB = 8 √3 / 3, BC = 8, and AC = 4 √7 / 3
The perimeter of each triangle is the sum of its side lengths. Therefore:
Perimeter of triangle ABC1 = 16 √3/ 3 + 16 + 8 √7 / 3 ≈ 27.98 cm
Perimeter of triangle ABC2 = 8 √3 / 3 + 8 + 4 √7 / 3 ≈ 14.66 cm
hence, the perimeter of triangle ABC could be either approximately 27.98 cm or approximately 14.66 cm, depending on the length of AB.
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Block division how to solve 1723÷5
Answer:
long division
Step-by-step explanation:
17\5=3
put down 2 then i'll make u go from there
35 divided by -5 with steps
Answer:
-7 is the ans
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
a positive divided by a negative is negative
35/-5
-(35/5)
-(7)
-7
PLEASEEE help with these multiple choice answers, will mark brainliest !!
Answer:
B. −x^2+2x+4
Step-by-step explanation:
(f-g)(x)
fx - g=
6x^2+4x−7−2x−7x^2+11
=6x^2+4x+−7+−2x+−7x^2+11
Combine Like Terms:
=6x^2+4x+−7+−2x+−7x^2+11
=(6x^2+−7x^2)+(4x+−2x)+(−7+11)
=−x^2+2x+4
Answer: THIS IS A QUIZ. THIS VIOLATES THE BRAINLY HONOR CODE
Step-by-step explanation:
Which of these lines best fits the data?
y
10
8
6
4-
2
y
10
8
8 10
6
4
2
0 2 4 6 8 10
Y+
10
8-
6-
4
2
0 2 4 6 8 10
10-
8-
6
4
2
0 2 4 6 8 10
X
The top right line (second line) best fits the data in this problem, as it has the lowest residuals.
What are residuals?For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:
Residual = Observed - Predicted.
For a line of best fit, we have that the residuals are the lowest possible, meaning that the points are the closest to the line.
Hence the top right line best fits the data in this problem, as it has the lowest residuals.
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find the value of h(-67) for the function below
h(x)=-49x-125
Passing through (-2,-11) and perpendicular to x+4y=8
Answer:
y=4x-3
Step-by-step explanation:
FreshmenBelow, the two-way table is given for aclass of students.Sophomore Juniors SeniorsTotalMale 462 2.Female 3 46 3TotalIf a student is selected at random, find theprobability the student is a junior. Roundto the nearest whole percent.
To the nearest percentage, the probability that the randomly selected student is a junior is 27%
Here, we want to get the probability that a randomly selected student is a junior
From what we have in the table, the total number of students will be;
4 + 3 + 6 + 4 + 2 + 6 + 2 + 3 = 30
The number of juniors we have is ;
2 + 6 = 8
So the probability is simply the number of juniors divided by the total number of students
We have this as;
\(\frac{8}{30}\times\text{ 100 \% = 27\%}\)Erika drives from school to soccer practice 1.3 miles away. It takes her 7 minutes.
a.
b.
C.
d.
What fraction represents her constant speed, C?
What fraction represents her constant speed, C, if it takes her x minutes to drive exactly 1 mile?
Write a proportion using the fractions from parts (a) and (b) to determine how much time it takes her to drive
exactly 1 mile. Round your answer to the tenths place.
Write a two-variable equation to represent how many miles Erika can drive over any time interval.
a. Constant speed, C = 0. 19 miles/minutes
b. The fraction representing her constant speed is 1/x miles/minutes
c. The time it takes her to drive exactly 1 mile is 5. 38 minutes
How to determine the valueThe formula for calculating constant speed is expressed as;
Constant speed = total distance covered/ total time taken
From the information given, we have that;
Total distance = 1. 3milesTime taken = 7 minutesNow, substitute the values into the formula
Constant speed = 1. 3 / 7
Divide the values
Constant speed = 0. 19 miles/minutes
When distance 1 mile, time taken = x minutes
Constant speed = 1/x miles/minutes
If 1. 3 miles = 7 minutes
Then, 1 mile = x
cross multiply
x = 7/1. 3
x = 5. 38 minutes
Hence, the constant speed is 0. 19 miles/minutes
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