<img src="https://tex.z-dn.net/?f=%28x%5E%7B2%7D%20y%5E4%29%20%5E%7B-3%7D" id="TexFormula1" title="(x^{2} y^4) ^{-3}" alt="(x^{2

A seamstress uses 3/4 yards of material to make a uniform top for band members. If there are 6 3/4 yards of material left on the

dalvyx [7]

Answer:

She can make 9 uniform tops from the material left.

Step-by-step explanation:

Given:

Yards of material left on the bolt = $6\frac{3}{4}$

Material requirement for a uniform top for band members = $\frac{3}{4}\ yd$

To find the number of tops that can be made from the material left.

Solution:

In order to find the number of tops that can be made from $6\frac{3}{4}$ yards of material, we need to divide $6\frac{3}{4}\ yd$ by $\frac{3}{4}\ yd$ .

Number of uniform tops that can be made is given as:

⇒ $6\frac{3}{4}\div \frac{3}{4}$

We first convert mixed number to fractions.

⇒ $\frac{27}{4}\div \frac{3}{4}$

To divide fractions the fractions are multiplied after flipping the divisor.

⇒ $\frac{27}{4}\times \frac{4}{3}$

⇒ $\frac{27}{3}$

⇒ 9

Thus, she can make 9 uniform tops from the material left.

4 0

2 years ago

Find f(5). f(x) = x2 + 2x A)15 B)20 C)30 D)35

inysia [295]

f(5) means to replace x in the equation with 5 then solve.

f(x) = x^2 +2x

f(5) = 5^2 + 2(5)

f(5) = 25 +10

f(5) = 35

The answer is D)35

7 0

2 years ago

Put the steps in correct order to prove that if x is irrational, then 1/x is irrational using contraposition.

SOVA2 [1]

Answer:

The correct order is:

a

c

d

b

Step-by-step explanation:

First, let's write 1/x in a convenient way for us:

a) Substitute 1/x = p/q, to obtain x = 1/(1/x) = 1/(p/q) = q/p.

Now we assume that 1/x is rational (we want to prove that this implies that x will be also rational and because we know that x is irrational assuming that 1/x is rational will lead to an incongruence), then:

c. If 1/x is rational, then 1/x = p/q for some integers p and q with q ≠ 0. Observe that p is not 0 either, because 1/x is not 0.

Now we know that we can write x as a quotient of two integers, we need to imply that, then the next one is:

d) Observe that x is the quotient of two integers with the denominator nonzero.

And that is the definition of rational, then we end with:

b) Hence x is rational.

Which is what we wanted to get.

5 0

2 years ago

Linda can bicycle 48 miles in the same time as it takes her to walk 12 miles. She can ride 9 mph faster than she can walk. How f

Marrrta [24]

Answer:

$\frac{48}{r+9}=\frac{12}{r}$

Step-by-step explanation:

Let r represent Linda's walking rate.

We have been given that Linda can ride 9 mph faster than she can walk, so Linda's bike riding rate would be $t+9$ miles per hour.

$\text{Time}=\frac{\text{Distance}}{\text{Rate}}$

We have been given that Linda can bicycle 48 miles in the same time as it takes her to walk 12 miles.

$\text{Time while riding}=\frac{48}{r+9}$

$\text{Time taken while walking}=\frac{12}{r}$

Since both times are equal, so we will get:

$\frac{48}{r+9}=\frac{12}{r}$

Therefore, the equation $\frac{48}{r+9}=\frac{12}{r}$ can be used to solve the rates for given problem.

Cross multiply:

$48r=12r+108$

$48r-12r=12r-12r+108$

$36r=108$

$\frac{36r}{36}=\frac{108}{36}$

$r=3$

Therefore, Linda's walking at a rate of 3 miles per hour.

Linda's bike riding rate would be $t+9\Rightarrow 3+9=12$ miles per hour.

Therefore, Linda's riding the bike at a rate of 12 miles per hour.

7 0

3 years ago

Pls help ill give u brainliest

Monica [59]

Answer:

Answers:

Rate of change = -5

Initial value = 25

Step-by-step explanation:

Each time x increases by 2 (eg from x = 1 to x = 3), the value of y drops by 10 (eg from y = 20 to y = 10)

Therefore the slope is...

slope = rise/run = (change in y)/(change in x) = -10/2 = -5

slope = -5

So each time x increases by 1, y will decrease by 5

Flip things around: each time x decreases by 1, y will increase by 5

So the pair (x,y) = (1,20) shown in row 1 of the table leads to (0,25) based on the rule above. Another way to see this is to plug m = -5, x = 1 and y = 20 into y = mx+b and solve for b to get b = 25

8 0

2 years ago