Nelson did 105 sit-ups in 3 minutes.<br><br> What is the unit rate?

Reggie and jay go for a walk morning.reggie walks 2 1/4 miles. Jay walks 1 3/8 miles less than Reggie. What is the total distanc

jek_recluse [69]

Jay walks 2 1/4 miles which if you double it so the denominators are e same for both 2 1/4 and 1 1/8 then your answer will be 18/8 (Jay) and 9/8 (Reggie). Meaning that Reggie walks have the distance Jay walks.

7 0

3 years ago

A l-meter steel rod is bent into a rectangle so that its length exceeds quadruple its width

Dmitry_Shevchenko [17]

Answer:

The dimensions of the newly formed rectangle is length is 41 cm and width is 9 cm.

Step-by-step explanation:

Given,

A 1 meter steel rod is bent into a rectangle.

That means the perimeter of the rectangle is 1 meter.

So, Perimeter = $1\ m=100\ cm$

Let the width of the rectangle be 'x'.

Now According to question, length exceeds quadruple its width by 5 cm.

Hence framing the above sentence in equation form, we get;

$Length=4x+5$

Now we use the formula of perimeter of rectangle,

$Perimeter=2(Length+width)$

On substituting the values, we get;

$2(4x+5+x)=100\\\\(5x+5)=\frac{100}{2}\\\\5x+5=50\\\\5x=50-5\\\\5x=45\\\\x=\frac{45}{5}=9$

Now, we substitute the value of x to get the value of length;

$Length=4x+5=4\times9+5=36+5=41\ cm$

Thus, Width=9 cm Length=41 cm

Hence the dimensions of the newly formed rectangle is length is 41 cm and width is 9 cm.

6 0

3 years ago

Ariel made cupcakes to sell. 2/3 of them were chocolate chip,25% of the reminder was strawberry and the rest were 90 vanilla cup

Anton [14]

Answer:

Let x be the total number of cupcakes.

Chocolate chips =

$\frac{2}{3} x$

Strawberry =

$\frac{1}{4} \times \frac{1}{3} \\ = \frac{1}{12} x$

Vanilla =

$x - \frac{2}{3} x - \frac{1}{12}x \\ = \frac{1}{3} x - \frac{1}{12} x \\ = \frac{1}{4} x$

given

$\frac{1}{4} x = 90$

$x = 90 \div \frac{1}{4} \\ = 90 \times 4 \\ = 360$

a)Number of Chocolate chip Cupcakes =

$\frac{2}{3} \times 360 \\ = 240$

b)Number of Strawberry cupcakes =

$\frac{1}{12} \times 360 \\ = 30$

8 0

3 years ago

A conical container can hold 120π cubic centimeters of water. The diameter of the base of the container is 12 centimeters.

Tanzania [10]

Answer: The height of the container is 10 centimeters. If its diameter and height were both doubled, the container's capacity would be 8 times its original capacity.

Step-by-step explanation:

The volume of a cone can be calculated with this formula:

$V=\frac{\pi r^2h}{3}$