Which ratios have a unit less than 1 ?Choose ALL that apply.

Which equation gives the number of 1/4 centimeter that are in 7/8 centimeter?

lesya692 [45]

The answer is B.

remember to use the reciprocal when dividing with fractions

5 0

3 years ago

Read 2 more answers

If m 24 is 53°, what is the m26?

hodyreva [135]

Answer:

m∠8 = 49°

Step-by-step explanation:

∠7 and ∠8 are same-side interior angles.

Remember, same-side interior angles are supplementary. This means that the sum of the angles is 180°.

Let's use the variable 'x' to represent the unknown measure of angle ∠8.

$131 +x=180$

$131-131=0$ (cancels itself out)

$180-131=49$

$x=49$

Therefore, the measure of ∠8 is 49°.

4 0

2 years ago

William is 3 years, older than Charmine. The sum of 3 times Charmaine's age and 2 times William's age is 76. How old are William

lana66690 [7]

William is 17 years old and Charmaine is 14 years old.

Step-by-step explanation:

Let x be the age of William and y be the age of Charmaine

Then

William is 3 years, older than Charmine.

x = y+3 Eqn 1

The sum of 3 times Charmaine's age and 2 times William's age is 76.

2x+3y = 76 Eqn 2

Putting x = y+3 in Eqn 2

$2(y+3)+3y=76\\2y+6+3y=76\\5y+6=76\\Subtracting\ 6\ from\ both\ sides\\5y+6-6=76-6\\5y=70\\Dividing\ both\ sides\ by\ 5\\\frac{5y}{5} = \frac{70}{5}\\y=14\\Putting\ the\ value\ of\ y\ in\ Eqn\ 1\\x=y+3\\x=14+3\\x=17$

Hence,

William is 17 years old and Charmaine is 14 years old.

Keywords: Linear equations, Variables

Learn more about linear equations at:

#LearnwithBrainly

5 0

3 years ago

Jake wants to buy two pairs of a particular style of sunglasses. The sunglasses are sold at two different stores. Sunglass House

mariarad [96]

Answer:

Based on the calculations, the store with the better buy is The Eyewear Shoppe

Step-by-step explanation:

Jake wants to buy two pairs of a particular style of sunglasses. The sunglasses are sold at two different stores.

For The Eyewear Shoppe:

The Eyewear Shoppe sells the sunglasses for $60 but is having a “Buy 1 Pair, Get 1 Pair Free” promotion.

Based on this promotion, you can get 2 sunglasses for $60

For Sunglass House

Sunglass House sells the sunglasses go 20% off the $40 retail price.

A Sunglass = $40 - ( 20%× $40)

= $40 - $8

= $32

Two sunglasses will cost = $32 × 2

= $64

Therefore, based on the above calculations, the store with the better buy is The Eyewear Shoppe

3 0

3 years ago

Find the zeros of the following polynomial functions, with their multiplicities. (a) f(x)= (x +1)(x − 1)(x² +1) (b) g(x) = (x −

larisa [96]

Answer:

a) zeros of the function are x = 1 and, x = -1

b) zeros of the function are x = 2 and, x = 4

c) zeros of the function are x = $\frac{3}{2}$

d) zeros of the function are x = $\frac{-4}{3}$ and, x = 17

Step-by-step explanation:

Zeros of the function are the values of the variable that will lead to the result of the equation being zero.

Thus,

a) f(x)= (x +1)(x − 1)(x² +1)

now,

for the (x +1)(x − 1)(x² +1) = 0

the condition that must be followed is

(x +1) = 0 ..........(1)

or

(x − 1) = 0 ..........(2)

or

(x² +1) = 0 ...........(3)

considering the equation 1, we have

(x +1) = 0

or

x = -1

for

(x − 1) = 0

x = 1

and,

for (x² +1) = 0

or

x² = -1

or

x = √(-1) (neglected as it is a imaginary root)

Thus,

zeros of the function are x = 1 and, x = -1

b) g(x) = (x − 4)³(x − 2)⁸

now,

for the (x − 4)³(x − 2)⁸ = 0

the condition that must be followed is

(x − 4)³ = 0 ..........(1)

or

(x − 2)⁸ = 0 ..........(2)

considering the equation 1, we have

(x − 4)³ = 0

or

x -4 = 0

or

x = 4

and,

for (x − 2)⁸ = 0

or

x - 2 = 0

or

x = 2

Thus,

zeros of the function are x = 2 and, x = 4

c) h(x) = (2x − 3)⁵

now,

for the (2x − 3)⁵ = 0

the condition that must be followed is

(2x − 3)⁵ = 0

or

2x - 3 = 0

or

2x = 3

or

x = $\frac{3}{2}$

Thus,

zeros of the function are x = $\frac{3}{2}$

d) k(x) =(3x +4)¹⁰⁰(x − 17)⁴

now,

for the (3x +4)¹⁰⁰(x − 17)⁴ = 0

the condition that must be followed is

(3x +4)¹⁰⁰ = 0 ..........(1)

or

(x − 17)⁴ = 0 ..........(2)

considering the equation 1, we have

(3x +4)¹⁰⁰ = 0

or

(3x +4) = 0

or

3x = -4

or

x = $\frac{-4}{3}$

and,

for (x − 17)⁴ = 0

or

x - 17 = 0

or

x = 17

Thus,

zeros of the function are x = $\frac{-4}{3}$ and, x = 17

7 0

3 years ago