Enter the sum of the numbers as the product of their GCF and another sum.


35 + 56

The sum of the numbers as a product of their GCF is . please help im on a test!

Answer:

C

Step-by-step explanation:

If you have any questions with how I got that answer let me know in the comment section.

Answer:

2+2

3+1

1+1+1+1

2+1+1

4+0

Answer:

i think the fourth one is equvilent ratio

Step-by-step explanation:

Answer:

Step-by-step explanation:

i am working on the assumption that nobody does all three of them

i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.

the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.

so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4

Answer:

241.5 km

Step-by-step explanation:

The distance between London and Cardiff in kilometres is 241.5 km

The value of f(1) by using the attached graph is f(1) = -2.

A collection of objects is arranged in a graph, where some object pairings are conceptually "linked." Each pair of connected vertices is referred to as an edge, and the objects are represented by mathematical abstractions known as vertices.

Given:

The graph shown in the question is representing the function value,

To find f(1) = ?

The value of f(1) will be equal to the value of x as the graph is linear so,

f(1) = value of y at x = 1

value of y at x = 1 = -2  (From the graph)

Thus, f(1) = -2.

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Answer:

-10 if you meant 1/4(8-4p)

-20 if you meant 1/4{(8-4p)+2p}

Step-by-step explanation:

Answer:

-10 if you meant 1/4(8-4p)

-20 if you meant 1/4{(8-4p)+2p}

Step-by-step explanation:

hope this helps have a great day.

The required linear equation that represents the table is y = -x + 4.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Given that,

The values of x are 0, 1, 2, 3,

And values of y are 4, 3, 2, 1.

The linear equation that represents the values, can be written as,

y = -x + 4

When the values of x are substitute in the above equation, the values of y are,

At x = 0, the value of y = 4

At x = 1, the value of y = 3

At x = 2, the value of y = 3

And at x = 3 the value of y = 1

Hence, the required linear equation is y = -x + 4.

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Given that the side of the prism is 10 cm.

Then, the TSA of the pyramid is given as

On putting the values

Therefore the required total surface area is 10√3 sq cm.

The x-intercept for function f(x) = −23x + 8 is (8/23, 0)

In this question, we have been given a function f(x) = −23x + 8

We need to find the x-intercept for given function f(x)

Let f(x) = y

So, given function becomes,

y = −23x + 8

To find the x-intercept, set y = 0,

0 = -23x + 8

23x = 8

x = 8/23

Therefore, the x-intercept for function f(x) = −23x + 8 is (8/23, 0)

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Answer: 180 gallons needed

Step-by-step explanation:

Zykeith,

Assume x gallons of 50% antifreeze is needed

Final mixture is x + 60 gallons

Amount of antifreeze in mixture is 0.4*(x+60)

Amount of antifreeze added is .5x + .1*60 = .5x + 6

so .5x + 6 = .4(x + 60)

.5x -.4x = 24 -6

.1x = 18

x = 180

Let x be the number of gallons of the 50% antifreeze solution needed. We know that the resulting mixture will be 70 + x gallons. To get a 40% antifreeze mixture, we can set up the following equation:

\({\implies 0.5x + 0.1(70) = 0.4(70 + x)}\)

Simplifying the equation:

\(\qquad\implies 0.5x + 7 = 28 + 0.4x\)

\(\qquad\quad\implies 0.1x = 21\)

\(\qquad\qquad\implies \bold{x = 210}\)

\(\therefore\) We need 210 gallons of the 50% antifreeze solution to mix with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze.

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

Answer:

\(\huge\boxed{\sf 18^{-3}}\)

Step-by-step explanation:

\(\displaystyle \frac{18^4}{18^7}\)

So, the expression becomes:

= \(18 ^{4-7}\)

= \(18^{-3}\)

\(\rule[225]{225}{2}\)

Answer:

320 pushups

Step-by-step explanation:

16/6= 8/3

8/3*120=32

So, here on solving the provided question, we can say that  \(5^{2/3}\) to write it without exponent = \(25^{1/3} = 1.70997594668\) and \(4^{-3/2} = 64^{1/2} = 8\)

Exponentiation, often known as "b raised to the nth power," is a mathematical operation denoted by the symbol bn that involves two numbers: a base number, b, and an exponent, or power, n. Exponents show how many times a number has been multiplied by itself. As an illustration, 2-3 (written as 23) denotes: 2 x 2 x 2 = 8. 23 is not equivalent to 2 + 3 = 6. Recall that an integer raised to the power of one equals itself. A approach to express huge numbers as powers is through the use of exponents. Exponent, then, is the quantity that indicates how many times a number has been multiplied by itself. As an illustration, 6 is multiplied by 4 to provide 6 x 6 x 6 x 6. It may be expressed as 64.

here,

we have \(5^{2/3}\) to write it without exponent = \(25^{1/3} = 1.70997594668\)

and \(4^{-3/2} = 64^{1/2} = 8\)

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A central angle of circle P is angle TPQ.

The measure of RU is 59 degrees.

In Geometry, an arc can be defined as a trajectory that is generally formed when the distance from a given point has a fixed numerical value. Generally speaking, the degree measure of an arc in a circle is always equal to the central angle that is present in the included arc.

Based on the information provided about Circle P, we can logically deduce that m∠TPU and m∠UPR are supplementary angles:

m∠TPU + m∠UPR = 180°

m∠TPU = 180° - 59°

m∠TPU = 121°.

m∠TPQ + m∠QPR = 180°

m∠QPR = 180° - 107°

m∠QPR = 73°.

Therefore, the central angle of circle P is m∠TPQ and the measure of arc RU is equals to 59 degrees.

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Answer:

1. TPQ

2. 58

Step-by-step explanation:

Answer:-9 to the fourth power is -6561

Step-by-step explanation: You would have to do 9 times 9 times 9 times 9 and that would equal 6561 then you would add the negative.So therefore the answer is -6561.

Please give brainliest if right.

Answer:

-6561

Step-by-step explanation:

\(-9^4 = -9 \times -9 \times -9 \times -9 = -6561\)

The image coordinates of point U, after translating the RSTU rectangle by T(2,-3), would be U(6, 6).

To find the image coordinates of U, we need to apply the translation vector T(2,-3) to each of the original coordinates.

The translation vector represents the horizontal and vertical distances by which each point is moved.

Starting with the original coordinates of point U, which are (4, 9), we add the horizontal distance of 2 to the x-coordinate and subtract the vertical distance of 3 from the y-coordinate.

Therefore, the new x-coordinate of U is 4 + 2 = 6, and the new y-coordinate is 9 - 3 = 6.

Thus, the image coordinates of point U after the translation are (6, 6). This means that U has been moved 2 units to the right and 3 units downward from its original position.

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The solution of the inequality is 8 ≥  x  or x > 10. The graph of the solution is attached

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g. 5 < 6, x ≥ 2, etc.

Solving for x:

11≥ 2x - 5 or 2x - 5 > 15

Collect like terms:

11 + 5 ≥ 2x  or 2x > 15 + 5

16 ≥ 2x  or 2x > 20

8 ≥  x  or x > 10

Note:  8 ≥  x can also be written as x ≤ 8

We can combine the two as follow:

Inequality notation: 8 ≥  x > 10

The graph of the solution is attached

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In linear equation, -(x - 1) ( 5x² +  3) is the solution of equation.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                          Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

4) 2x⁵+4x³-6x²-12 ⇒  2(x² + 2) (x³ - 3)

5) 3x⁷ - 8x⁶-9x⁵+24x⁴   ⇒ x⁴(3x - 8) (x² - 3)

6)  -5x³ + 10x²- 3x + 6   ⇒  -(x - 1) ( 5x² +  3)

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Answer:

  see below

Step-by-step explanation:

There are a few relevant relations involved:

AB is a diameter, so arcs AB are 180°.

a) BC is the supplement to arc AC: 180° -140° = 40°

b) BG is the supplement to AG: 180° -64° -38° = 78°

c) ∠1 has the measure of BC: 40°

d) ∠2 is inscribed in a semicircle, so has measure 180°/2 = 90°

e) ∠3 is half the measure of arc AE: 64°/2 = 32°

f) ∠4 is half the sum of arcs AG and BC: ((64°+38°) +40°)/2 = 71°

g) ∠5 is half the difference of arcs AC and EG: (140° -38°)/2 = 51°

h) ∠6 is half the sum of arcs EAC and BG: ((140°+64°) +78°)/2 = 141°

i) ∠7 is the difference of exterior angle 4 and interior angle 1: 71° -40° = 31°

j) ∠8 is the measure of arc AC: 140°

k) ∠9 is the supplement to arc AC: 180° -140° = 40°

l) ∠10 is the complement of angle 7: 90° -31° = 59°

The polynomial satisfying the given conditions is given as 2x⁴ + 10x² + 8.

The polynomial is an algebraic expression in which no any terms has the power other than a whole number.

The degree of a polynomial is the highest power of one of its terms.

Given that,

The degree of polynomial is n = 4.

The zeros of the polynomial are i and 2i.

And, f(-1) = 20

Since, a polynomial with real coefficients have either real zeros or complex conjugate zeros.

Here, the given zeros of the polynomial are imaginary which implies that the remaining two zeros are the conjugate of the given two zeros.

Thus, the zeros of the given polynomial are i, 2i, -i and -2i.

The general form of a 4th degree polynomial is given as,

ax⁴ + bx³ + cx² + dx + e

Use the factor theorem to get,

ax⁴ + bx³ + cx² + dx + e =  K(x - i) (x - (-i)) (x - 2i) (x- (-2i))        (1)

⇒ ax⁴ + bx³ + cx² + dx + e = K(x² + 1) (x² + 4)                          (2)

Now, f(-1) = 20 which gives,

K((-1)² + 1) ((-1)² + 4) = 20

⇒ k = 2

Substitute K =2 in equation (2) to get,

ax⁴ + bx³ + cx² + dx + e = 2(x² + 1) (x² + 4)  

⇒ ax⁴ + bx³ + cx² + dx + e = 2(x⁴ + 5x² + 4)  

⇒ ax⁴ + bx³ + cx² + dx + e = 2x⁴ + 10x² + 8  

Hence, the nth-degree polynomial function with real coefficients satisfying n = 4 and zeros i and 2i is 2x⁴ + 10x² + 8.

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The average number of hours that adults spend working each day is 8 hours and Ryan is correct because he got the average of 8 right.

We know that,

The sample mean is a statistic that is computed by taking the arithmetic mean of the values of a variable in a sample. If the sample is taken from probability distributions with a shared expected value, the sample mean is an estimator of that value.

The mean is gotten from the formula;

x' = ∑x/n

Number of hours of work per day are; 6, 7, 8, 9 and 10

Thus; sum up all of it

∑x = 6 + 7 + 8 + 9 + 10

∑x = 40

Mean is; x' = 40/5

x' = 8

Since Ryan concluded that the average is 8 hours,

Therefore,

We can say that Ryan is correct.

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Answer:

eeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

eeeeeeeeeeeeeeeeeee

The number of cubes of edge length 1/3 is 27 and the volume of the cube is 1 cubic inches

From the question, we have the following parameters that can be used in our computation:

The volume of a cube is the cube of its edge length

This means that the volumes are

Volume = Edge length³

So, we have

Volume of cube 1 = (1/3 inch)³ = 1/27 cubic inches

Volume of cube 2 = (1 inch)³ = 1 cubic inch

The number of cubes is then calculated as

Number of cubes = Volume of cube 2/Volume of cube 1

This gives

Number of cubes = 1/(1/27)

Number of cubes = 27

Here, we have

Edge length of cube = 1 inch

The volume of a cube is the cube of its edge length

This means that the volumes are

Volume = Edge length³

So, we have

Volume of cube = (1 inch)³ = 1 cubic inch

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Complete question

a. How many cubes with an edge length of 1/3 inch are needed to build a cube with an edge length of 1 inch?

b. What is the volume, in cubic inches, an edge length of 1 inch?

Answer:

74 and 27

Step-by-step explanation:

let x and y be the numbers

x + y =101........eqn 1

x - y = 47.......eqn 2

solve simultaneously

from equation 2, make x the subject

x= 47 + y........eqn 3

put eqn 3 into eqn 1

(47+y) + y = 101

47 + 2y = 101

       2y= 101 - 47

       2y=54

         y= 54/2

         y= 27

put y=27 into eqn 3

x = 47 + 27

x = 74

Answer:

6 months

Step-by-step explanation:

We can set up an equation based on his monthly savings to find out how long it will take for Hatif to reach $630 in his account.

Let's assume it takes Hatif "n" months to reach $630 in his account. Each month, he saves $80.

The equation representing the situation is:

$150 + $80n = $630

Now, let's solve for "n":

$80n = $630 - $150

$80n = $480

n = $480 / $80

n = 6

Therefore, it will take Hatif 6 months to reach $630 in his account.

ANSWER

My answer is in the photo above