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3 years ago

Les is measuring the border of her bulletin

Mathematics

1 answer:

borishaifa [10]3 years ago

7 0

Answer:

Perimeter of the board

Step-by-step explanation:

That measurement of "the border of her bulletin board" is actually the perimeter of the board.

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Last week at a festival, a man sold 5 times as many tie-dyed T-shirts as silk-screened shirts. He sold 228 shirts altogether.

kumpel [21]

Answer:

The man sold 190 tie-dyed T-shirts

Step-by-step explanation:

This problem can be modeled by a system of equations.

I am going to call x the number of tie-dyed T-shirts that the man sold and y the number of silk-screened shirts that he sold.

We have that he sold 5 times as many tie-dyed T-shirts as silk-screened shirts. So this gives us our equation 1)

1) x = 5y.

We also know that altogether, he sold 228 shirts. So this gives us our equation 2)

2) x + y = 228.

Now, we solve the system formed by equations 1) and 2)

x = 5y

x + 5y = 228

6y = 228

y = 38

x = 5*38

x = 190

So, in all, the man sold 190 tie-dyed T-shirts and 38 silk-screened T-shirts.

6 0

4 years ago

A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder t

konstantin123 [22]

Answer:

The top of the ladder is now at 10 ft.

Step-by-step explanation:

At the start, we have a height H=6, a length L=10 and a base B, that has to be calculated by the Pythagorean theorem:

$B^2=L^2-H^2=10^2-6^2=100-36=64\\\\B=\sqrt{64}=8$

The base is moved twice the distance the height moves up.

We called this distance x, so we have:

$L^2=(H+x)^2+(B-2x)^2=H^2+2Hx+x^2+B^2-4Bx+4x^2\\\\L^2=(H^2+B^2)+5x^2+(2H-4B)x\\\\L^2=L^2+5x^2+(2H-4B)x\\\\0=5x^2+(2H-4B)x\\\\5x+(2H-4B)=0\\\\x=\dfrac{4B-2H}{5}=\dfrac{4*8-2*6}{5}=\dfrac{32-12}{5}=\dfrac{20}{5}=4$

The new height (H+x) is

$H'=H+x=6+4=10$

The base travels 2x=8, so the new base B' is 0.

This means that the ladder is all against the wall (L=H').

6 0

3 years ago

WIL GIVE BRAINLIEST!

Grace [21]

Answer: 4x - 13

<h2>Step-by-step explanation: </h2>

<em>First, we need to get triple of x:</em>

Triple of x is: 3x

<em>Next is to get the difference between 3x and 13:</em>

x + 3x -13

4x - 13

Hence, the variable expression is 4x - 13

5 0

3 years ago

Which expressions are equivalent to the given expression.<br> y^-8y^3x^0x^-2

vesna_86 [32]

$y^{-8} y^3 x^0 x^{-2}$ is equivalent to $y ^{-5} x ^{-2}\\$ .

<h3>What is a simplification of an expression?</h3>

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

Given;

$y^{-8} y^3 x^0 x^{-2}$

Simplify

$y^{-8} y^3 x^0 x^{-2}\\\\y ^{-8+3} x ^{0-2}\\ \\y ^{-5} x ^{-2}\\$

Hence, $y^{-8} y^3 x^0 x^{-2}$ is equivalent to $y ^{-5} x ^{-2}\\$ .

Learn more about an expression here:

brainly.com/question/1249625

#SPJ1

8 0

2 years ago

On a map with a scale of 2 cm = 1 km, the

Hunter-Best [27]

Answer:

A. 2.3km

Step-by-step explanation:

Since 2cm = 1km

4.6cm = xkm

xkm = 4.6 x 1 / 2

= 2.3km

5 0

3 years ago

Read 2 more answers