Rewrite the equation in terms of x.

y =4/7(x-13)

The greatest number of cups of yogurt that Monica can buy is 14 cups

The amount that she has = $20

The cost of one gallon of milk = $2.50

The cost of one cup of yogurt = $1.20

Consider the number of cups of yogurt = x

Then the inequality will be

1.20x + 2 .50 ≤ 20

Solve the inequality and find the value of x

Subtract 2.50 from both side of the inequality

1.20 + 2.50 - 2.50 ≤ 20 - 2.50

1.20x ≤ 17.5

Divide both side of the equation by 1.20

1.20x / 1.20 ≤ 17.5 / 1.20

x ≤ 17.5 / 1.20

x ≤ 14.58

Hence, the greatest number of cups of yogurt that Monica can buy is 14 cups

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Answer:

-24/4 is yes

61.34 is no

Step-by-step explanation:

Answer: 15 29/64

Step-by-step explanation: Convert the mixed numbers to fractions. 43/8 times 23/8. This would equal 989/64 and if you simplify that, it would be 15 29/64.

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The total amount Bridget received from her mom will be $6 as she will get extra for cleaning before 6PM.

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100). A number or ratio that can be expressed as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The percentage therefore refers to a part per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Here,

$5 for cleaning,

as she completed before 6 PM,

=5+20%*5

=5+1

=$6

Bridget's mother gave her $6 in total, with an additional $1 for cleaning before 6 o'clock.

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By using diagonal properties of square, we can prove the area of triangle as a².

A square is a flat object in geometry that has four equal sides and four right angles (90°). An equilateral rectangle is a specific sort of square, while a parallelogram is a special kind of square (an equilateral and equiangular one).

Prove: Area of square = a²

Suppose, there is a square of side length a.

Let, d be the length of each diagonal. We know, both diagonals of square have equal length.

So, d^2 = a^2 + a^2 = 2 * (a^2)

Or, d = a * (√2).

Also, we know that diagonals of a square are perpendicular bisectors.

So, we can consider that the square as four isosceles right angled triangles.

Length of each perpendicular side of every isosceles right angled triangle = (1 / 2) * d = (d / 2).

So, area of each isosceles right angled triangle = (1 / 2) * (d / 2) * (d / 2) = {(d^2) / 8}

Area of the square = 4 * {(d^2) / 8} = {(d^2) / 2}.

Since, d = a * √2; so we put in the above formula, the area becomes equal to that of (a^2).

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Answer:

[tex] a^\frac{5}{2} = \sqrt{a^5} = (\sqrt {a})^5 [/tex]

Step-by-step explanation:

A number raised to a fraction as an exponent means the number is raised to the numerator of the exponent, and then take the root shown by the denominator of the exponent.

For example, if the exponent is 2/3, raise the number to the 2nd power and take the third root.

Here is the definition:

[tex]a^{\frac{m}{n}} = \sqrt[n]{a^m} = (\sqrt[n]{a})^m[/tex]

[tex] a^\frac{5}{2} = \sqrt{a^5} = (\sqrt {a})^5 [/tex]

Answer: the answer you chose was correct x+y <1000

                                                                       x=<75

Step-by-step explanation:

first they are selling 3 dollar and 4 doallar items to get above 1000 dollars

then they sayed at least 75 bags of hot chips so it has to be 75 or higher

The percentage decrease in Lora's screen time on phone is 25% this week.

Percentage related problems work around a certain reference value. This reference value is what the output percentage refers to when showing any growth or decay in the other value.

For this problem, last week's screen time is that reference value i.e. 920 minutes per week.

Now, current week's usage is 690 minutes per week. For calculating percentage decrease, we first find our the difference (in minutes).

[tex]Decrease=S_{1}- S_{2}=920-690=230[/tex]

Now, for its percentage we compare this value to our reference value i.e. last week's screen time. This will tell us about the decrease in screen time with reference to last week. This is what percentage does i.e. compares two sets of data.

[tex]Decrease=\frac{difference}{S_{1}}*100= \frac{230}{920}*100[/tex]

[tex]Decrease=25[/tex]%

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Answer:25

Step-by-step explanation:

Answer: The answer is b

Step-by-step explanation:    Please give me thanks and 5 star  

              Have Great Day   :)

The measure of the angle ∠Z is 38°.

We are given two triangles. The vertices of the first triangle are E, F, and G. The vertices of the second triangle are Y, X, and Z. The angle ∠F is congruent to the angle ∠X. The angle ∠E is congruent to the angle ∠Y. The measures of the angles ∠E and ∠X are 62° and 80°, respectively. We need to find the measure of the angle ∠Z. The measure of the angle ∠Y must be equal to the measure of the angle ∠E.

∠Y = ∠E = 62°

Now, in the triangle ΔYXZ, we will use the angle sum property. The sum of all the angles in a triangle is equal to 180°.

∠Y + ∠X + ∠Z = 180°

62° + 80° + ∠Z = 180°

∠Z = 180° - (62° + 80°) = 180° - 142° = 38°

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The height of the rectangular prism  is 4x+2 unit.

What is  rectangular prism?

A rectangular prism's volume is a measurement of the entire interior volume. Consider a rectangular water-filled container. In this instance, the container's capacity is equal to the maximum amount of water it can hold. A polyhedron known as a prism has the same cross-section along its entire length, equal bases, and flat rectangular side faces. Based on the design of their bases, prisms are categorised. A rectangular prism is within the category of three-dimensional shape. The prism has six faces, all of which are rectangles.

Here the given volume of rectangular prism is,

=> V= 4[tex]x^3+22x^2+10x[/tex] cubic unit

And area of base B = [tex]x^2+5x[/tex] square unit.

Now volume of rectangular prism

=> V= area of base × height

=> 4[tex]x^3+22x^2+10x[/tex]  = [tex]x^2+5x[/tex] × height

=> Height = [tex]\frac{4x^3+22x^2+19x}{x^2+5x}[/tex]

=> Height = [tex]\frac{2x(2x^2+11x+5)}{x(x+5)}[/tex]

=>Height = [tex]\frac{2(2x^2+x+10x+5)}{x+5}[/tex]

=> Height = [tex]\frac{2(x(2x+1)+5(2x+1))}{x+5}[/tex]

=> Height = [tex]\frac{2(2x+1)(x+5)}{x+5}[/tex]

=>Height = 2(2x+1)

=> Height = 4x+2 unit .

Hence height of the rectangular prism is 4x+2 unit.

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Answer: The answer is -2

Answer:

B) x = 11

Step-by-step explanation:

The three angles of a triangle always add up to 180°

3x+28+5x+52+2x-10

= 180

Combine like terms.

10x + 70 = 180

subtract 70

10x = 110

divide by 10

x = 11

The exponential function always exceeds the linear function

A mathematical function of form f (x) = an x is an exponential function. where x is a variable and an is the function's base constant The transcendental number e, which is approximately 2.71828, is the most commonly encountered exponential-function base.

An exponential function is distinguished from linear and quadratic functions in that the variable to be solved for is contained within the function's exponent rather than (necessarily) within the base of some exponential expression. Here are some examples:

Linear function: f(x) = 3x - 7: The exponents 1 and 0 are implied here, so f(x) is 3(x^1) - 7(x^0). It is worth noting that x is not a component of either exponent; rather, it is a component of the base of each exponent.

h(x) = 4^(3x + 7):This is an exponential function because the variable x is contained within the exponent in this expression.

As a result, the exponential function always outperforms the linear function.

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When an auditor uses monetary-unit sampling to examine the total value of invoices, each invoice has a probability proportional to its monetary value of being selected.

Monetary unit sampling (MUS) refers to a statistical sampling method utilized to determine if the account balances or monetary amounts in a population contain any misstatements in an account of transaction. Auditors use monetary unit sampling, which is also known as probability-proportional-to-size sampling or dollar-unit sampling, to establish the accuracy of financial accounts. With monetary unit sampling, each dollar in a transaction is a separate sampling unit. When an auditor uses monetary-unit sampling to examine the total value of invoices, each invoice has a probability proportional to its monetary value of being selected.

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The percentage of kids who were boys in the birthday party is 58.3%.

The percentage can be calculated by the relation-

Percentage = number of boys ÷ total number of kids × 100

Calculating each value before calculating the percentage.

Number of boys = 7

Total number of kids = number of boys + number of girls

Total number of kids = 7 + 5

Performing addition

Total number of kids = 12

Keep both the values in formula -

Percentage of boys = (7÷12)×100

Percentage of boys = 58.33%

Round the number of nearest tenth, we get percentage = 58.3%

Thus, there were 58.3% boys.

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Answer:

I think it's B

Step-by-step explanation:

Because the pattern starts at 7 then plus 3 etc...

Justice is using a technique known as chunking.

Short-term memory can function more effectively thanks to chunking, however the quantity of chunks that can be stored efficiently declines as chunk size grows.

Large pieces of information may be divided into smaller bits and then grouped together using relevant information or attributes before being stored in order to improve retention of that information in the short term memory. To establish relational information or similarity between the information to be stored in order to improve retention and recall in the short term memory, information must be broken down before being regrouped. However, as chunk size grows, so does the efficiency of information chunking.

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The level of marginal significance inside a statistical hypothesis test, or P-value, represents the likelihood that a particular event will occur.

P-value;

The likelihood of getting a result that is equivalent to or more extreme than what was actually seen, under the null hypothesis, is what is meant by the term "P value." The probability (P) indicator indicates the likelihood that any observed variation between groups is the result of chance.

Here,

The statistical test's extremely low p-value indicates that the null hypothesis must be accepted, and the conclusion that Gilbert is guilty is based on the fact that Gilbert's existence is dependent on the shift deaths.

Relevance of p-value to the trial;

The p-value evaluates the agreement between the trial's actual outcomes and the "pure chance" explanation for them. When the only differences between groups A and C are the result of chance, a p-value of 0.002 favoring group A very extremely seldom occurs.

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You have d dollars to buy fence to enclose a rectangular plot of land. the fence for the top and bottom costs $a per foot and for the sides it costs $b per foot.

To find the dimensions of the plot with the largest area.

Total Money = D dollars

Total cost for top and bottom fence = $4(2x)

Total cost for sides fence = $8(2y)

Hence total cost of fencing = 4(2x)+8(2y) = 8x+16y

C = 8x+16y

Given cost (c) = D dollars

D = 8x+16y

Now Area of the plot A = xy

A = xy is optimizing function and D = 8x+16y

= [tex](\frac{D-16y}{8})=x[/tex]

A = [tex]\frac{D-16y}{8}y[/tex]

For A to be maximum [tex]\frac{dA}{dy}=0[/tex]

A = [tex]\frac{D}{8}y-\frac{16}{8}y^{2}[/tex]

[tex]\frac{dA}{dy} = \frac{D}{8}-\frac{16}{8}(2y)[/tex]

[tex]\frac{dA}{dy} = \frac{D}{8}-4y[/tex]

[tex]\frac{dA}{dy} = 0 = \frac{D}{8}-4y=0[/tex]

[tex]\frac{D}{8} = 4y = y = \frac{D}{32}[/tex]

Now [tex]\frac{d^{2}A }{dy^{2}} = -4 = -ve number[/tex]

for y = [tex]\frac{D}{32}[/tex] area is maximum

[tex]x = \frac{D-16y}{8} = \frac{D-16 (\frac{D}{32} )}{8} = \frac{D}{16}[/tex]

Say the top and bottom dimensions are = [tex]\frac{D}{16}[/tex]

Sides dimensions are = [tex]\frac{D}{32}[/tex]

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Answer:

22 degrees

Step-by-step explanation:

Sum of all three angles of a triangle equal 180 degrees so we can add these angles and set it equal to 18” degrees to find x

x+16+120+x=180

2x+136=180

    -136.  -136

2x=44

/2.  /2

x=22

So angle b is 22 degrees

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Answer:

Step-by-step explanation:

3/4  + 6/10

= 15/20 + 12/20

=  27/20

Answer: 2 soulutions

Step-by-step explanation: Just factor them and solve the answer would be x = 4 √3 + 8 in its exact form and x = 14.92820323... in its decimal form

The rate of change from 2015 to 2017 is -$250

The amount he spend for lunch in 2015 = $800

The amount he spend for lunch in 2017 = $300

Therefore the total change = The amount he spend for lunch in 2017 - The amount he spend for lunch in 2015

Substitute the values in the equation

= 300 - 800

= -500

The total years from 2015 to 2017 = 2 years

The rate of change from 2015 to 2017 = The total change / The total years from 2015 to 2017

= -500 / 2

= -$250

Hence, the rate of change from 2015 to 2017 is -$250

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The value of 9−(−12) as an addition expression is 3.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

In this case, the expression given is illustrated as:

-9 - (-12)

It's important to note that (-) × (-) = +

Therefore, -9 - (-12)

= - 9 + 12

= 3

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Answer:

the two middle students are 63

Based on the image attached, The value of x = 26 and y = 60

Alternate interior angles are the angles formed on the opposite sides of the transversal. The angles that lie on the inner side of the parallel lines but on the opposite sides of the transversal.

And the alternative angle is equal to :

180°So, y° = y° at the alternative side

And so as (3x - 18)° = (3x - 18)° at the alternate side

The angle of a straight  line is  180°

The value of line m is a straight line so it is equal to 180°

So, y + (3x-18) = 180°

As also, the value of straight line (2x + 8)° + y° of the alternate side= 180°

So we have y° + (3x - 18)° = 180 and y° + (2x + 8)° = 180y + 3x = 180 + 18 and y + 2x = 180 - 8y + 3x = 198 and y + 2x = 172

By substituting method to get the value of x and y

when y = 172 - 2x

Substitute to equation 1172 - 2x + 3x = 198x = 198 - 172x = 26°

To find y = y + 2(26) = 172y +52 = 172y = 172 - 52y = 120°

Therefore the amount of x = 60 and y = 26

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Two column proof is as follows

Statement                              Reason

AB ≅ CB                                Given                  

AD ≅ CD                               Given

< BAD ≅ < BCD                     Given

< ABD = < CBD                      Definition of angle bisection

AB = CB                                 Definition of equality

BD = BD                                 Reflexive property of congruence

AD = DC                                 Definition of bisection

Δ ABD = Δ CBD                     SSS postulate of congruence

This is a method of proof that consists of five parts which include

The postulate says that when the three sides of the triangles under comparison are equal then the triangles under comparison are said to be congruent.

In the figure,

AB =CB, from the given sides

BD = BD sharing common sides

AD = CD line AC was bisected by line BD

This completes the SSS proof of congruence

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Answer: it’s the square root of 10

Step-by-step explanation: I took this test

Answer:[tex]\sqrt{74}[/tex]

Step-by-step explanation: