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maw [93]
3 years ago
11

The solution to #68 and #70

Mathematics
1 answer:
atroni [7]3 years ago
8 0
The trick is to write appropriate equations and then solve the system of equations you've created.

"sum of two numbers is -5:"  x + y = -5

"difference                   is  -1:"  x-y = -1

Add these two equations together.  This will cause y to drop out, and you will be left with an equation in x alone:

2x  = - 6, so x = -3.  Subst. -3 for x in either equation, above, and find the corresponding y value.

Then write your solution as (-3, y ) (write in your value for y).
You might be interested in
Nelson finds a video game for $38.50.  The game is on sale for $31.57.  What is the percent of discount on the game?
Zigmanuir [339]
38.50 = 100%
31.57 = ?

Multiply: 31.57 x 100 = 3,157

Divide: 3,157 ÷ 38.50 = 82%
100-82= 18% discount
8 0
3 years ago
There were n votes cast in an election. Ms. Gordy received 32% of the votes. Which expression represents the number of votes Ms.
Mamont248 [21]

Answer:

Step-by-step explanation:

4 0
2 years ago
Area of circle with diameter of 1 m?
Elena-2011 [213]

Answer:

A = 0.785m²

B = 31400cm²

C = 7850cm²

D = 785,000mm²

Step-by-step explanation:

To solve this question, we'll have to find the area of a circle which is

Area of a circle = πr²

1. The diameter of the circle = 1m

Area of a circle = πr²

r = radius of the circle

π = 3.14

Radius = diameter / 2

Radius = 1 / 2 = 0.5m

Area = 3.14 × (0.5)²

Area = 3.14 × 0.25

Area = 0.785m²

2. Radius = 100cm

Area of a circle = πr²

Area = 3.14 × (100)²

Area = 3.14 × 10000

Area = 31400cm²

3. Diameter = 100cm

Area = πr²

Radius = diameter / 2

Radius = 100 / 2

Radius = 50cm

Area = πr²

Area = 3.14 × (50)²

Area = 3.14 × 2500

Area = 7850cm²

4. Radius = 500mm

Area = πr²

Area = 3.14 × (500)²

Area = 3.14 × 250,000

Area = 785,000mm²

7 0
3 years ago
Read 2 more answers
Julia and her husband own a coffee shop. They experimented with mixing a City Roast Columbian coffee that cost $7.00 per pound w
Tcecarenko [31]

Answer:

The number of pounds of City Roast Columbian coffee they should buy is 1 and the number of pounds of French Roast Columbian coffee they should buy is 11.

Step-by-step explanation:

Let

x ----> the number of pounds of a City Roast Columbian coffee

y ---> the number of pounds of a French Roast Columbian coffee

we know that

x+y=12 -----> equation A

7x+8.20y=8.10(12) ----> equation B

Solve the system of equations by graphing

The solution is the intersection point both graphs

The solution is the point (1,11)

therefore

The number of pounds of City Roast Columbian coffee they should buy is 1 and the number of pounds of French Roast Columbian coffee they should buy is 11.

3 0
3 years ago
What statistical test and how many of them will need to be used to explore the difference in average cholesterol within each gro
zepelin [54]

Answer:

The statistical test to be used is the paired t-test.

Step-by-step explanation:

The dependent t-test (also known as the paired t-test or paired-samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference between these two means.

We use the paired t-test if we have two measurements on the same item, person or thing. We should also use this test if we have two items that are being measured with a unique condition.

For instance, an experimenter tests the effect of a medicine on a group of patients before and after giving the doses.

Similarly, in this case a paired t-test would be used to deter whether there was any changes in the cholesterol level within each group as result of the treatment.

Thus, the statistical test to be used is the paired t-test.

6 0
3 years ago
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