(Factoring Algebraic Expressions MC)
Factor −7x2 + 35x.

−7x(x + 5)

7x(−x + 5)

7(−x2 + 35x)

x(7x + 35)

There are 15 cats in the animal shelter.

An equation in which is  the highest power of to the  variables 1 is knowns as the  linear equation. Mathematically: it is an  algebraic equations that can be also  written in the form of  ax + b = 0 or ax + by + c = 0, where a, b and c are definitely real numbers and x and y are variables with the highest power one.
In order to solve this problem, we must set up a proportion. Proportions are an equation that states that two ratios are equal. In this case, we are looking for the number of cats (c) in the animal shelter.

Let's set up the proportion.

5/3 = 25/c

We can then solve for c by multiplying both sides by c.

5c/3 = 25

c = 15

Therefore, there are 15 cats in the animal shelter.

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Answer:

150 hope this helps

By using the Unitary Method we get the number of children who went on an excursion was 63. Thus, the total number of children at school is 90.

We are given that,

No. of children who stayed at school is 27,

Also, 70% of the children went on an excursion.

Suppose, the total number of children in percentage is 100%

Out of which 70% went on an excursion

Thus, the children who stayed at school is 100% - 70% = 30%

By using the Unitary method, we can find out the number of 70% of children.

If 30% of the children are 27

Then 70% of the children are = 27 × 100

                                                        30

                                                 = 63

∴ the total no. of children in the school = 27 + 63

                                                                 = 90

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Answer:

1000 tiles

Step-by-step explanation:

Determine total floor space
800 x 10 = 8000 squared cm total floor space.
Divide floor space by size of tile
8000 / 8 = 1000 tiles now required to cover the floor.

Answer:

-9≤y≤8

Step-by-step explanation:

The range is the output values

Y goes from -9 to 8

-9≤y≤8

Answer:

-9≤y≤8

Step-by-step explanation:

That is the correct answer on plato.

Answer:

Area = ½* height(a+b)

Where;

a=4units

b=8units

h=6units

Therefore Area= ½*6(4+8)

= ½*6*12

=36sq.un

Answer:

24sq²

Step-by-step explanation:

Area = ( b1 + b2) x h

          ---------------------

                     2

Area =   (8 + 4) x 6

          ---------------------

                     2

Area =     (12) x 6

          ---------------------

                     2

A = 72/2

A = 36

A = 1/2 * b * h

A = (1/2) * 4 * 6

A = (1/2) * 24

A = 12

36 - 12 = 24sq²

I hope this helps!

Answer:

Only 2

Step-by-step explanation:

1 is a binomial.

2 is a trinomial, and the first and last numbers are perfect squares (1 and 16)

Answer:

Step-by-step explanation:

7. 15/10 = 24/18

  900 ≠ 240

not similar

8. 4/6 = 9/15

54 ≠ 60

not similar

9. x/24 = 9/40

x= 5.4

10. 8.7/x = 6/16

    6x = 139.2

    x = 23.2

     x = 18.7

11. 24/9 = x/45

   9x = 1080

    x = 120 feet

Answer:

54.76 square feet

Step-by-step explanation:

s² = square feet, therefore, 7.4² = 54.76 square feet.

Answer:

60%

Step-by-step explanation:

21/35 = 3/5

= 0.6

=60%

Answer:

b(20) = 3 means that for 20 boxes of cards sold, 3 badges were earned.

Step-by-step explanation:

The number of badges earned based on the number of boxes of cards sold means that badges earned are a function of the number of boxes of cards sold.

b(20) means the number of badges earned for selling 20 boxes of cards.

b(20) = 3 means that for 20 boxes of cards sold, 3 badges were earned.

Answer:

Someone who sells 20 boxes of cards earn 3 badges.

Step-by-step explanation:

Answer:

288π inch³

Step-by-step explanation:

V=4

/3πr³

by substituding in formulae

4/3*216π

=288π inch³

hope this helps

plzz mark me brainliest

Answer: true

if its wrong then im sorry for it but i have a felling its true

Therefore , the solution of the given problem of triangle comes out to be Triangle ABC : A(7,6) , B(4,7) and C(5,11).

Given that they consist of four sides or more, triangles are categorized as polygons. It has a straightforward geometric shape. The letters of the ABC form a triangle with a right angle when put together. Euclidean geometry generates a single rectangle or squares when the borders must not match. Due to their three sides and three corners, triangles are polygons. A triangle's corners are formed by the point where its three sides meet. A triangle has angles that total 180 degrees.

Here,

Given :

Points :A (7,6)  , B(7,4) and C(11,5)

a)

eight units left and two units down :

New points :

A(-1,4) , B(-1,2) and C(3,3)

b)

New coordinate :

A(7,6) , B(4,7) and C(5,11)

c)

line of reflection x= 4

Triangle ABC : A(7,6) , B(4,7) and C(5,11).

Therefore , the solution of the given problem of triangle comes out to be Triangle ABC : A(7,6) , B(4,7) and C(5,11).

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Answer:

10.3

Step-by-step explanation:

Answer:

10.4 in.

Step-by-step explanation:

To find the radius of a circle from the circumference, divide the circumference by pi, then, divide the quotient by 2.

65 is the circumference of Joe's bicycle.

65 ÷ 3.14 = 20.7006369427

20.7006369427 ÷ 2 = 10.3503184714

10.3503184714 ≈ 10.4

Therefore, 10.4 is the radius of the wheel rounded to the nearest tenth.

Answer:

5.75.

Step-by-step explanation:

The mean = (8+5+7+10+3+4+31+12)/ 8

= 80/8

= 10.

Now we calculate the difference of each value from the mean We take the absolute ( positive) differences

10 - 8 = 2

10 - 5 = 5

10 - 7 = 3

10 - 10 = 0

10-3 = 7

10 = 4 = 6

10 - 31 = 21

10 - 12 = 2

Sum of the differences = 46

and the mean deviation  is 46/8 = 5.75.

Answer:

35!

Step-by-step explanation:

5squared is 25 so you then do 25+10 wich = 35!

Answer:

A

Step-by-step explanation:

Random samples of days from the previous years, 20 from high school A and 15 from high school B, and calculates

Nutrition is the study of food and how it works in your body. Nutrition includes all the stuff that's in your food, such as vitamins, protein, fat, and more. It's important to eat a variety of foods, including fruits, vegetables, dairy products, and grains, so you have what you need to grow and be healthy.

Students in a large district's two high schools are offered a "Second Breakfast' program after their first-period class.

Random samples of days from the previous years, 20 from high school A and 15 from high school B, and calculates

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Answer:

Step-by-step explanation:

( 2 , 26 )

( 0 , 4 )

m = (26 - 4 ) / ( 2 - 0 ) = 11

Cost of each game is $11

Using probabilities concepts, it is found that:

----------

A probability is the number of desired outcomes divided by the number of total outcomes.

----------

Item a:

\(p = \frac{234}{467} = 0.5011\)

0.5011 = 50.11% probability that the customer is at least 20 but no older than 49.

----------

Item b:

\(p = \frac{309}{467} = 0.6617\)

0.6617 = 66.17% probability that the customer is either older than 40 or younger than 20.

----------

Item c:

\(p = \frac{151}{467} = 0.3233\)

0.3233 = 32.33% probability that the customer is at least 50.

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The sentence to describe the meaning of 6 in the equation 2.4/0.4=6 is the quotient value of the digits 2.4 and o.4 is 6.

How can the sentence be written?

The concept that will be used here is division.  The quotient is the result of dividing two numbers by each other. As in the case of 8 4 = 2, when the division produced the number 2, the outcome is the quotient. The dividend is 8 and the divisor is 4.

Subtraction is repeated in division. As an illustration, in 62 we repeatedly subtraction 2 from 6 until we reach zero. It implies that until we reach 0, we must repeatedly remove 2 from 6 to get at 0.

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The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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Answer:

(6,11)

I can confirm that this question is right.

12/2      22/2

(6   ,        11)

The remainder theorem indicates that remainder when the polynomial x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by (x - 1) is 8

The remainder theorem specifies the relationship between the division of a polynomial by a linear factor to the value of the polynomial at a specified point

The remainder when the polynomial expression; x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by x - 1, can be found using the remainder theorem by plugging in x = 1 in the function as follows;

f(1) = 1⁵ - 3 × 1⁴ - 2 × 1³ - 5 × 1² + 5 × 1 + 12 = 8

The remainder when x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by (x - 1) therefore is 8

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Answer:

2) 160

3) 320

Step-by-step explanation:

you want to find out the slope so use the formula

y₂-y₁/ x₂-x₁ and plug in the numbers

320-80=240

4-1=3

divide 240/3= 80

multiply 80 * (x) so if we try and find x=2 it would be 160

80 * 3 = 240

check your work by multiplying 80 and 4 (320) which is your y value! hope this helps!

Answer:

-4

Step-by-step explanation:

So we are given the expression: | y - x | + y - 1, and we have our values for (x,y): (-3,-6).

So, we can just start plugging things in and simplifying, so:

| -6 + 3 | - 6 - 1 = | -3 | -7

                       = 3 - 7

                       = -4

is simply changing from percentage form to a decimal form usually, but the fractional form works the same.  Check the picture below.

Answer:

The last one looks like its not true

Answer:

Step-by-step explanation:

4) looks wrong , or untrue.  

The slope of the straight line passing through the two given points is undefined which means the line is parallel to the y-axis.

Let us consider the two points A(x₁,y₁) and B(x₂,y₂) be the two points (7,-6) and (6,-6) on the cartesian coordinates.

Let the slope of the line joining A (7,-6)  and B(6,-6)  be m.

We know that the slope of a line is given by:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Slope of the line

= (6-7) / (-6+6)

= -1 / 0

= undefined

Since the slope is undefined we can say that the straight line is parallel to the y axis.

we know that tan 90° = ∞

So any line parallel to this line will have the same slope as the y axis.

Hence the slope of the given line is undefined or infinity.

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