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Gre4nikov [31]
4 years ago
13

You are taxed at a rate of 5% for all online purchases and 8.5% for all in-store purchases. If you pay a total of 40$ in taxes i

n addition to spending $500 on purchases (pre-tax), how much money did you spend online, and how much was spent in the store? (before tax, to the cent)
Need two equations and please solve!

It already provided one equation. Which is:

0.05x + 0.085y = 40
Mathematics
1 answer:
Zina [86]4 years ago
4 0
x+y=500
0.05x+0.085y=40

Multiply both sides of second equation by 20 to getx+1.7y=800
Subtract that from first equation to get 0.7y=300
Divide both sides by 0.7 to get y=428.571, so about $428.57 was spent in store. This leaves 500-428.57=$71.43 that was spent online
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Please help i need help geometry is very hard for me i am dumb
stiks02 [169]

Answer:

G.  ABD = 74

H.  DBC = 206

I.  XYW = 33.75

J.  WYZ = 46.25

Step-by-step explanation:

For G and H: You have a straight line (ABC) with another line coming off of it, creating two angles (ABD and DBC).  A straight line has an angle of 180 degrees.  This means that the two angles from the straight line when combined will give you 180 degrees.  Solve for x.

ABD + DBC = ABC

(1/2x + 20) + (2x - 10) = 180

1/2x + 20 + 2x - 10 = 180

5/2x + 10 = 180

5/2x = 170

x = 108

Now that you have x, you can solve for each angle.

ABD = 1/2x + 20

ABD = 1/2(108) + 20

ABD = 54 + 20

ABD = 74

DBC = 2x - 10

DBC = 2(108) - 10

DBC = 216 - 10

DBC = 206

For I and J:  For these problems, you use the same concept as before.  You have a right angle (XYZ) that has within it two other angles (XYW and WYZ).  A right angle has 90 degrees. Combine the two unknown angles and set it equal to the right angle.  Solve for x.

XYW + WYZ = XYZ

(1 1/4x - 10) + (3/4x + 20) = 90

1 1/4x - 10 + 3/4x + 20 = 90

2x + 20 = 90

2x = 70

x = 35

Plug x into the angle values and solve.

XYW = 1 1/4x - 10

XYW = 1 1/4(35) - 10

XYW = 43.75 - 10

XYW = 33.75

WYZ = 3/4x + 20

WYZ = 3/4(35) + 20

WYZ = 26.25 + 20

WYZ = 46.25

3 0
3 years ago
Write 8 * 10^-7 in standard form<br> 8*10^-7 =____
tino4ka555 [31]

Answer:

  • 0.0000008

Step-by-step explanation:

<u>Given</u>

  • 8*10^-7

<u>Converted to standard form</u>

  • 8*10^-7 = 8*0.0000001 = 0.0000008
4 0
3 years ago
Read 2 more answers
What is the rounded amount 3.56- to the nearest dollar
Semenov [28]

Answer: $4.00

Step-by-step explanation: 56 ronded to to the nearest hundredths equal to 100. 1+3=4

8 0
3 years ago
over a season in a women's basketball league jackson scored 41 more points than the second highest scorer leslie. Together they
vlabodo [156]
First, you know that Jackson (let call her J) scored 41 more points than L (Leslie).  What we don't know is how many points L scored so we can use a variable that will be 'x'.
So the equation will be J=41+x.
We also know that the total points is 1,189.
To find out what x is we first subtract 1,189-41.  We then get 1,148.
We are now left with 2x and 1,148 so we divide 1,148 by 2 and get 574.
574=x so now we can plug that in.
J= 574+41
Jackson scored 615 points and Leslie scored 574 points

(You can use bar modeling to do solve this problem.  An example of bar modeling is shown below.  

3 0
3 years ago
Babe Ruth had 317 at bats and 95 base hits what was his batting average
nika2105 [10]

Answer:

Babe Ruth had 317 at bats and 95 base hits what was his batting average. A: His batting average is 32.

8 0
3 years ago
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