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3 years ago

9

(3) A boy has 10 pens in a pack. He gives 2 pens to his friend. What fraction of the pack is left? *

1 answer:

Olegator [25]3 years ago

8 0

Answer: $\frac{4}{5}$

Step-by-step explanation:

10 pens - 2 pens = 8 pens

Write 8 of 10 as a fraction.

You get $\frac{8}{10}$ , right?

Now, simplify 8/10.

You get 4/5.

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The total surface area of a cube is 294 cm ² work out the volume of the cube

mihalych1998 [28]

$\text{ Total Surface Area of cube, with Side $a$ is } 6a^2 \\ \text{ (six times the area of each face)} \\ 6a^2=294 \ m^2 \\ a^2= \frac{294}{6} \\ a^2=\frac{49\times6}{6} \\ a^2=49 \\ a=\sqrt{49} \\ a=7 \ m \\ \text{Volume of cube with Side $a$ is } a^3 \\ V= 7^3=49\times7 \\ \text{volume of the cube is } 343 \ m^3$

6 0

3 years ago

Read 2 more answers

A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-

seropon [69]

Answer:

The equation of the line in point-slope form is $y-21 = - \frac{3}{2}\cdot (x-14)$ .

Step-by-step explanation:

According to the statement, let $A(x,y) = (14,21)$ and $B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A})$ . The equation of the line in point-slope form is defined by the following formula:

$y-y_{A} = m\cdot (x-x_{A})$ (1)

Where:

$x_{A}$ , $y_{A}$ - Coordinates of the point A, dimensionless.

$m$ - Slope, dimensionless.

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

$m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}$ (2)

If we know that $x_{A} = 14$ and $y_{A} = 21$ , then the equation of the line in point-slope form is:

$x_{B} = 1.25\cdot (14)$

$x_{B} = 17.5$

$y_{B} = 0.75\cdot (21)$

$y_{B} = 15.75$

From (2):

$m = \frac{15.75-21}{17.5-14}$

$m = -\frac{3}{2}$

By (1):

$y-21 = - \frac{3}{2}\cdot (x-14)$

The equation of the line in point-slope form is $y-21 = - \frac{3}{2}\cdot (x-14)$ .

5 0

3 years ago

K(x) = 6x+100 k(-5) =

kkurt [141]

Answer:

$k(-5)=70$

Step-by-step explanation:

The given function is

$k(x)=6x+100$

To find k(-5), we put x=-5 into the given function to get;

$k(-5)=6(-5)+100$

Multiply out to obtain;

$k(-5)=-30+100$

This is the same as;

$k(-5)=100-30$

This simplifies to

$k(-5)=70$

3 0

3 years ago

A gallon of water weighs 8.345 pounds. Simon uses 11.81 gallons of water while taking a shower. About how many pounds of water d

stealth61 [152]

1 gallon= 8.345 pounds

11.81 gallons= ? Ibs

11.81*8.345= 98.5 Ibs (99)

5 0

3 years ago

Nina’s garden is 4 1/5 meters long and 3/10 meter wide. What is the area of Nina’s garden?

Leno4ka [110]

Answer:

63/50 meters^2 or in mixed number: 1 13/50 meters^2

Step-by-step explanation:

Area= length * width

length = 4 1/5= 21/5 . Multiply the whole number with the denominator. 4*5= 20 . Add 20 with the numerator. 20+1=22

width= 3/10

21/5* 3/10 ( Multiply the denominators together). ( Multiply the numerators together).

21*3 / 5*10

8 0

3 years ago