I need the answer for these questions please my mom is at work and cannot help me

A bag contains 55 coins of $1 and ¢50 denominations. Find the number of coins of each denomination, if the total amount in the b

DerKrebs [107]

Answer:

Number of $1 coins are 25 and number of 50 cent coins are 30.

Step-by-step explanation:

Let's set up the equations.

Let there are x number of $1 coins

There are y number of 50 cent coins

So, x+y =55

1 x+0.50 y =40

Solve the equations for x and y.

Solve the first equation for y.

y=55-x

Substitute y as 55-x into the second equation.

1 x+0.50(55-x)=40

Solve the equation for 'x'.

Distribute the 0.50 to get rid the ( ).

1 x+27.5-0.50 x= 40

Combine like terms

0.50 x +27.5=40

Subtract both sides 27.5

0.50 x =12.5

Divide both sides by 0.50

x=25

Now, plug in x as 25

y=55-25

y=30

So, number of $1 coins are 25 and number of 50 cent coins are 30.

3 0

3 years ago

the table below represents the displacement of a turtle from its nest as a function of time.Part A. What is the y intercept of t

hoa [83]

Part A.

Y intercept is the coordinate (0,y), when the function has an x value of 0, it is the y intercept.

In this case:

(0,5) =

y intercept = 5

IT tells about the turtle that it starts at a nest displacement of 5 miles.

Part B

The average rate of change represents the speed .

x1=1 ,y1=27

x2=4 ,y2=93

We have to calculate the slope if the function:

$\text{slope}=\text{ }\frac{y2-y1}{x2-x1}$

Replace:

$\text{slope}=\frac{93-27}{4-1}\text{ = }\frac{66}{3}=22$

Part C.

speed = distance /time

time= distance / speed

time= 225 / 22 = 10.22 hours

The domain will be

0< x ≤ 10.22

3 0

1 year ago

Mara had 7 cookies.She ate some Now she has 4 cookies. How many cookies did she eat? Draw a tape diagram

Westkost [7]

Mara ate 3 cookies because you subtract

3 0

3 years ago

Read 2 more answers

Anyone know this question?<br><br>Just B please

Gre4nikov [31]

Answer:

52% and 7

Step-by-step explanation:

There are 25 squares of which 13 are shaded , then

$\frac{13}{25}$ × 100% = 13 × 4% = 52°

(b)

1 square represents $\frac{1}{25}$ × 100% = 1 × 4% = 4%

Then 80% = 80% ÷ 4% = 20

That is for 80% , 20 squares require to be shaded

That is 7 more than the 13 already shaded

4 0

3 years ago

The population in the current year is 31.5 million and the real GDP is $814 million. The previous year's statistics were a popul

andrew11 [14]

Answer:

The change in the standard of living, measured by growth in real GDP per person, is 0.1356%

Step-by-step explanation:

Given,

In the current year,

Population = 31.5 million,

Real GDP = $814 million,

So, the real GDP per person = $\frac{814}{31.5}$ ≈ 25.841

In the previous year,

Population = 31 million,

Real GDP = $800 million,

So, the real GDP per person = $\frac{800}{31}$ ≈ 25.806

Hence, change percentage = $\frac{\text{Change in GDP per person}}{\text{Previous year GDP per person}}\times 100$

$=\frac{25.841-25.806}{25.806}\times 100$

$=\frac{0.035}{25.806}\times 100$

$=\frac{3.5}{25.806}$

≈ 0.1356 %

5 0

3 years ago