Rewrite 27+36 using the GCF and distributive property

Answer:

- 5/6 is the answer

Step-by-step explanation:

The number which when multiplied by 1/2 is -5/12 is -5/6

Let

The unknown number = x

So,

x × 1/2 = -5/12

1/2x = -5/12

Divide both sides 1/2

x = -5/12 ÷ 1/2

= -5/12 × 2/1

= -10 / 12

= -5/6

Hence, -5/6 id the number need-

-5/6

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Answer:

A) y^3+27

Step-by-step explanation:

(y+3)(y^2-3y+9)

y^3-3y^2+9y+3y^2-9y+27

y^3+27

The product of the polynomial is A = y³ + 27

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

To find the product of (y+3)(y^2 - 3y + 9), we can use the distributive property of multiplication:

(y+3)(y² - 3y + 9) = y(y² - 3y + 9) + 3(y² - 3y + 9)

Now we can simplify each term:

y(y² - 3y + 9) = y³ - 3y² + 9y

3(y² - 3y + 9) = 3y² - 9y + 27

Adding these two simplified polynomial terms, we get:

(y+3)(y² - 3y + 9) = y³ - 3y² + 9y + 3y² - 9y + 27

Simplifying further, we get:

(y+3)(y² - 3y + 9) = y³ + 27

Hence , the product is A = y³ + 27

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Answer:

y + 3 = (1/2)(x -6)

Step-by-step explanation:

When we have the slope m of the line and a point (a,b) which the line passes through, the point-slope form is

y - b = m (x -a)

Since the slope is 1/2 and the line passes through (6, -3), the point-slope equation is

y -(-3) = (1/2)(x -6)

or

y + 3 = (1/2)(x -6)

Answer:

110

Step-by-step explanation:

A bump is 180 degrees as well as a triangle. So 90+20=110 and 180-110=70. Meaning 180-70 =110

Answer:

110

Step-by-step explanation:

Solve for the angle in the triangle

solve for the "?"

Answer:

David took 32 more steps

Step-by-step explanation:

first we need to find out how many steps each person takes every one mile to find that out we divide the steps by how many miles .

megan: 9780÷5= 1956 steps in one mile

David: 11928÷6= 1988 steps in one mile

then you subtract to find by how many more steps .

1988-1956 =32

david took 32 more steps

Answer:

22

Step-by-step explanation:

The number of male friends : 200 ÷100 × 45 = 90

The number of female friends : 200 - 90 = 110

Joan likes 20% of her female friends and there are total of 110 female friends

20% 110 would be➡ 110 ÷ 100 × 20 = 22

Answer:

a)6,7,8,9 and 10th term is 15.

b)1,3,5,7 and 10th term is 19.

Step-by-step explanation:

Given a) n+5

b)2n-1

Solution for  a) n+5

Taking the value of n is 1 we get the first term of the sequence;

[tex]n+5=1+5=6[/tex]

Similarly taking the value of n 2,3,4 we get;

[tex]2+5=7\\3+5=8\\4+5=9[/tex]

And for 10th term we take the value of n is 10 and get;

[tex]n+5=10+5=15[/tex]

So the solution for 1st sequence is 6,7,8,9 and 10th term is 15.

Solution for  b)2n-1

Taking the value of n is 1 we get the first term of the sequence;

[tex]2n-1=2\times1-1=2-1=1[/tex]

Similarly taking the value of n 2,3,4 we get;

[tex]2n-1=2\times2-1=4-1=3\\2\times3-1=6-1=5\\2\times4-1=8-1=7[/tex]

And for 10th term we take the value of n is 10 and get;

[tex]2n-1=2\times10-1=20-1=19[/tex]

So the solution for 2nd sequence is 1,3,5,7 and 10th term is 19.

Final answer:

The first 4 terms and the 10th term of sequence (a) n + 5 are 6, 7, 8, 9, and 15, respectively. For sequence (b) 2n - 1, they are 1, 3, 5, 7, and 19, respectively.

Explanation:

For each sequence, we need to find the first 4 terms and the 10th term. The sequences are given by (a) n + 5 and (b) 2n - 1.

Let's start with sequence (a) n + 5. The first 4 terms, where n starts at 1, will be:

The 10th term can be found by substituting n = 10 into the expression, so the 10th term is:

10 + 5 = 15

Moving on to sequence (b) 2n - 1. The first 4 terms are:

The 10th term is calculated as:

2(10) - 1 = 19

Answer:

Step-by-step explanation:

[tex]x\div9=157\\\\\dfrac{x}{9}=157\qquad\text{multiply both sides by 9}\\\\9\!\!\!\!\diagup^1\cdot\dfrac{x}{9\!\!\!\!\diagup_1}=(9)(157)\\\\x=1413[/tex]

Answer:

693 sq. m.

Step-by-step explanation:

The figure consists of a triangular prism (Bottom Part) and a Triangular Pyramid (Top Part). We will find the volume of each and add it up to get volume of total figure.

1. Volume of Triangular Prism = Area of Triangular Base * Height

Area of Triangular Base = (1/2)*base*height

Given that the triangle is a right triangle, we find the unknown side by using Pythagorean Theorem, which tells us:

Leg^2 + Another Leg^2 = Hypotenuse^2

8.8^2 + Another Leg^2 = 13.7^2

77.44+ Another Leg^2 = 187.69

Another Leg (unknown side, or the base of the triangle) = Sqrt(187.69-77.44) = 10.5 (this is base of triangle)

So, we have:

Area of Triangular Base = [tex]\frac{1}{2}*10.5*8.8=46.2[/tex]

Thus,

Volume of Triangular Prism = 46.2 * 10(given) = 462 sq.m.

2. Volume of Triangular Pyramid = (1/3) * area of triangular base * height

Here, area of triangular pyramid is 46.2 (already found)

the height of the pyramid is 25 - 10 = 15

SO, we have:

Volume of Triangular Pyramid = [tex]\frac{1}{3}*46.2*15=231[/tex] sq. m.

Now we sum them up and get total volume of the figure:

Total Volume of Figure = 462+ 231 = 693 sq. m.

Answer:

about 160

Step-by-step explanation:

Answer:

1440 CUVs, approx.  Actual number would be slightly lower.

Step-by-step explanation:

To answer this question, multiply 4800 vehicles by (3/10) for an approximation of the number of CUVs sold:

4800        3

---------- * ------- = 1440 CUVs

    1            10

Answer:

Original point (1,2) and the image is (1,-2).

Step-by-step explanation:

If a point on the coordinate plane reflects across the x-axis then the x-coordinates of the original point and that of the image point will remain the same and the y-coordinates of the original point and that of the image point will only change their signs.

So, a point having coordinates (a,b) when reflected across the x-axis then the point generated after reflection will have coordinates (a,-b).

This is true for any real values of a and b.

So, for example, if (1,2) is a point reflected across the x-axis will generate an image point with coordinates (1,-2). (Answer)

Answer:

2 is a co-efficient to the variable, x. 4 is a constant.

Step-by-step explanation:

Don't know exactly what you're asking here.

Final answer:

The sum of the two weights, 13 lb 7 oz and 10 lb 2 oz, is 23 lb 9 oz. You add the ounces first, which don't need conversion, and then add the pounds.

Explanation:

Adding Pounds and Ounces

The question involves adding two weights together that are given in pounds and ounces. To do this, we need to add the ounces together first and then the pounds. The sum of 7 ounces and 2 ounces is 9 ounces. Since there are 16 ounces in one pound, we have no need to convert these ounces to pounds. The sum of 13 pounds and 10 pounds is 23 pounds. Therefore, when we combine these two sums, we arrive at the total weight of 23 pounds and 9 ounces.

Answer:

1.5, 3, 6, 12, 24, 48

Explanation:

multiply all of the numbers by 2

1.5*2=3

3*2=6

6*2=12

12*2=24

24*2=48

Answer:y=mx+b

Step-by-step explanation:

Final answer:

To calculate the savings of 25% off a $500 stove, you multiply 500 by 0.25 to get a savings of $125.

Explanation:

The question asks us to calculate how much money will be saved on a stove that is on sale for 25% off its regular $500 price. To find the amount of savings, we need to calculate 25% of $500. This is done by multiplying the original price by the percentage discount in decimal form.

The percentage in decimal form is 0.25 (since 25% is 25 per hundred, or 25/100), hence, we multiply 500 by 0.25 to find the savings:

500 × 0.25 = $125.

Therefore, the amount of savings from the original price during the sale is $125.

Answer:

0,12 grams

Step-by-step explanation:

0,96:8=0,12

Each serving will contain 0.12 grams of sodium.

In order to find out how many grams of sodium each serving contains in the bag of potato chips, we can divide the total amount of sodium in the bag by the number of servings. Given that the bag contains 0.96 grams of sodium and is split into 8 equal servings, we can divide 0.96 by 8 to find the sodium content per serving.

Step 1: Divide 0.96 by 8: 0.96 ÷ 8 = 0.12

Step 2: Each serving will contain 0.12 grams of sodium.

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Answer:

96 is the answer maybe of it

Answer:

1. k = 3

2. k = 5

Step-by-step explanation:

1. The graph shows two parallel lines intersecting y-axis:

The graph of the function g(x) is translated 5 - 2 = 3 units up graph of the function f(x). Thus, k = 3.

2.  The graph shows two parallel lines intersecting y-axis:

The graph of the function g(x) is translated 3 - (-2) = 5 units up graph of the function f(x). Thus, k = 5.

Rounding to the greatest place value requires focusing on the digit to the right of the place value you're rounding to. If it's 5 or above, round up, if less, round down. This makes calculations easier by providing an estimated value close to the actual one.

In this question, you are asked to estimate a value by rounding to the greatest place value. To do this, you will focus on the digit in the place value you are rounding to and the digit to its right. If the digit is 5 or more, you will round up. If it's less than 5, you will round down. It's called the estimation because it's not an exact value but a value close to the actual one best suited for calculations.

For example, if you have the number 4387 and you want to round it to the greatest place value, which is thousands place, you will look at the hundreds place value which is 8 (greater than 5), so you round up to 5000. Your estimated number, 5000, is greater than the actual product.

The purpose of rounding and estimation is to simplify calculations and analyze systems or data without being bogged down by specificities.

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Answer:

A

Step-by-step explanation:

If we take each small section to be "1" unit, we can say the large sections (for "2" and "5") are "2" units each. So in total there will be 8 sections.

Since 5 is "2" sections, we can say:

P(5) = 2/8 = 1/4

And 6 is "1" section, so we can say:

P(6) = 1/8

Definitely, Probability of landing a 6 is HALF that of probability of landing a 5. Also we can see this is the picture.

So, from the answer choices, A is right.

Answer:

120

Step-by-step explanation:

87.5% of what number is 105?

87.5%=0.875

105/0.875=120

Final answer:

To find sin 2θ when cos θ = 3/5, we first find sin θ using the Pythagorean identity and then apply the double angle formula, yielding sin 2θ = 24/25.

Explanation:

To find sin 2θ when given cos θ = 3/5 and θ is in the first quadrant, we can use the double angle formula for sine, which is sin 2θ = 2 sin θ cos θ. First, we need to find sin θ. Given that θ is in the first quadrant, all trigonometric functions are positive, and we can use the Pythagorean identity sin²θ + cos²θ = 1 to find sin θ. Since we know cos θ, cos²θ = (3/5)² = 9/25, which means sin²θ = 1 - 9/25 = 16/25. Taking the positive square root, since θ is in the first quadrant, sin θ = 4/5.

Now, we apply the double angle formula: sin 2θ = 2 × (4/5) × (3/5), which simplifies to sin 2θ = 24/25.

Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of

0

.

2

x

-

3

2

x

2

-

3

x

+

5

Divide the highest order term in the dividend

2

x

2

by the highest order term in divisor

2

x

.

x

2

x

-

3

2

x

2

-

3

x

+

5

Multiply the new quotient term by the divisor.

x

2

x

-

3

2

x

2

-

3

x

+

5

+

2

x

2

-

3

x

The expression needs to be subtracted from the dividend, so change all the signs in

2

x

2

−

3

x

x

2

x

-

3

2

x

2

-

3

x

+

5

-

2

x

2

+

3

x

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

x

2

x

-

3

2

x

2

-

3

x

+

5

-

2

x

2

+

3

x

0

Pull the next term from the original dividend down into the current dividend.

x

2

x

-

3

2

x

2

-

3

x

+

5

-

2

x

2

+

3

x

0

+

5

The final answer is the quotient plus the remainder over the divisor.

x

+

5

2

x

−

3

Answer:

2.9%

Step-by-step explanation:

Given:

Total earnings : $1,825

Electricity : $53.20

% of earnings spent on electricity,

= (53.2 / 1825) x 100%

= 0.2915 x 100%

= 2.915%

= 2.9% (nearest tenth)

Answer:

$4.25

Step-by-step explanation:

Ratio:

2.79:16.4 = x:25

16.4 × x

2.79 × 25

Cross multiply: 16.4x = 69.75

Then divide: 69.75 ÷ 16.4 = $4.25

Answer:

4.9

Step-by-step explanation:

165.1-160.2

Answer:

$73

Step-by-step explanation:

Multiply 7 and 7 to get 49. Next, multiply 6 and 4 to get 24. The museum is free for the 3 children so you do not have to do anything. Add 49 and 24 to get 73, which is the price for the Baker Family.