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Elina [12.6K]
3 years ago
5

Angelica earns d dollars for babysitting each week. She also receives an allowance of $10 per week. The expression (10+d)∙5 can

be used to calculate the amount of money she will have at the end of 5 weeks. What is the amount of money Angelica will have at the end of five weeks if d = $25?
Mathematics
1 answer:
Katyanochek1 [597]3 years ago
7 0

Answer:

The amount of money Angelica will have at the end of five weeks if d = $25 is $175.

Step-by-step explanation:

The given information are;

The allowance Angelica earns for baby sitting = d dollars per week

The amount she receives as allowance = $10 per week

The amount she will have at the end of 5 weeks = (10 + d)·5

The amount, A, of money Angelica will have at the end of five weeks if d = $25 is given as follows;

A = (10 + 25) × 5 = $175

The amount of money Angelica will have at the end of five weeks if d = $25 is $175.

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A store sold 1800 bags in 1985 and 1500 bags in 1986. If they averaged selling 2100 bags per year through 1987, how many
iris [78.8K]

Answer:

3000 bags

Step-by-step explanation:

In this case we must apply the formula of the mean, which would be the sum of the values divided by the amount of data is the mean:

m = (a1 + a2 ... an) / n

In this case we know the mean, we must know the 1987 data, therefore:

Let x be the number of bags sold in 1987, replacing in the previous equation:

2100 = (1800 + 1500 + x) / 3

2100 * 3 = 3300 + x

x = 6300 - 3300

x = 3000

Therefore, for the average to be a total of 2100 bags in those 3 years, the amount of bag sold in 1987 must have been 3000 bags

8 0
2 years ago
If YW bisects XYZ and mZXYW = 25°, then what is mZXYZ?​
Alisiya [41]

Answer:

50°

Step-by-step explanation:

Since, YW bisects angle XYZ.

\therefore m\angle XYZ =2\times m\angle XYW\\\therefore m\angle XYZ =2\times 25\degree \\\huge \purple {\boxed {\therefore m\angle XYZ =50\degree}}

6 0
2 years ago
The area of ABED is 49 square units. Given AGequals9 units and ACequals10 ​units, what fraction of the area of ACIG is represent
stiks02 [169]

Answer:

The fraction of the area of ACIG represented by the shaped region is 7/18

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the square ABED find the length side of the square

we know that

AB=BE=ED=AD

The area of s square is

A=b^{2}

where b is the length side of the square

we have

A=49\ units^2

substitute

49=b^{2}

b=7\ units

therefore

AB=BE=ED=AD=7\ units

step 2

Find the area of ACIG

The area of rectangle ACIG is equal to

A=(AC)(AG)

substitute the given values

A=(9)(10)=90\ units^2

step 3

Find the area of shaded rectangle DEHG

The area of rectangle DEHG is equal to

A=(DE)(DG)

we have

DE=7\ units

DG=AG-AD=9-7=2\ units

substitute

A=(7)(2)=14\ units^2

step 4

Find the area of shaded rectangle BCFE

The area of rectangle BCFE is equal to

A=(EF)(CF)

we have

EF=AC-AB=10-7=3\ units

CF=BE=7\ units

substitute

A=(3)(7)=21\ units^2

step 5

sum the shaded areas

14+21=35\ units^2

step 6

Divide the area of  of the shaded region by the area of ACIG

\frac{35}{90}

Simplify

Divide by 5 both numerator and denominator

\frac{7}{18}

therefore

The fraction of the area of ACIG represented by the shaped region is 7/18

5 0
2 years ago
Select the expressions whose value is 4. <br> (-2)² <br> |- 4| <br> - 4÷2 <br> 2(-2)
Dmitry [639]
The first and the second one.

-2*-2=4

Absolute value of -4 is 4
7 0
2 years ago
Triangle PQR is similar to Triangle XYZ. PQ=3 and XY=6. If the perimeter of Triangle XYZ is 20, what is the perimeter of Triangl
Viktor [21]

Answer:

10

Step-by-step explanation:

5 0
3 years ago
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