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3 years ago

What is the slope of side AC?

Mathematics

1 answer:

Alexxandr [17]3 years ago

4 0

Answer:

The slope is ( d-b)/ ( c-a)

Step-by-step explanation:

To find the slope we can use the slope formula

m = ( y2-y1_/(x2-x1)

= ( d-b)/ ( c-a)

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The scale of a map is 1cm:12 km. find the actual distance for 12cm

anzhelika [568]

This is simply a question about ratios. This ratio means that for every 1 cm on the map, there are 12 km in actuality. You can set this problem up in fractions:

1 cm 12 cm
-------- = ----------
12 km x

To solve for x, we cross-multiply, for the moment ignoring units. Remember, your answer will be in km.

1*x=12*12

x=144

If x=144, then for 12 cm, there are 144 km.

6 0

3 years ago

Rename 4/7 as a percent. Round to the nearest tenth of a percent if necessary.

enyata [817]

Answer:

Part 1) Option C. 57.1%

Part 2) Option B. 70.9%

Part 3) Option C. 66 2/3 %

Part 4) Option A. About 16

Part 5) Option A. About $12

Part 6) Option B. About $9

Part 7) Option B. x/50=70/100

Part 8) Option B. 25%

Part 9) Option D. 800

Part 10) $1,770

Step-by-step explanation:

Part 1) Rename 4/7 as a percent

we know that

To rename a number as a percent, multiply the number by 100

(4/7)*100=400/7=57.1%

Part 2) Rename .709 as a percent

we know that

To rename a number as a percent, multiply the number by 100

0.709*100=70.9%

Part 3) If 1/3 is equivalent to 33 1/3% what percent is equivalent to 2/3?

we know that

33 1/3%=(33*3+1)/3 %=100/3 %

By proportion

(100/3 %)/(1/3)=x/(2/3)

x=200/3 %=66 2/3 %

Part 4) Alice plays basketball. In one game she shoots 21 free throws and makes 81.25% of them. Estimate how many she makes

To find the exact value multiply the total shoots by the percentage

21*(81.25/100)=17.06

To find the estimate value

21 shoots is about 20

81.25% is about 80%

20*(80/100)=16

the answer is about 16

Part 5) Estimate 48% of 23.95

To find the exact value multiply the number by the percentage

23.95*(48/100)=11.50

To find the estimate value

23.95 is about 24

48% is about 50%

24*(50/100)=12

Part 6) The bill at a restraint is $58.50 and Mrs. Johnson wants to leave a 15% tip. Approximately how much money

To find the exact value multiply the bill by the percentage

$58.50*(15/100)=$8.78

To find the approximate value

$58.50 is about $60

$60*(15/100)=$9

Part 7) Which proportion can be used to solve the following percent problem? What is 50% if 100% is 70?

using proportion

x/50=70/100

x=70*50/100

x=35

Part 8) What percent of 50 is 12.5?

using proportion

50/100%=12.5/x%

x=100*12.5/50

x=25%

Part 9) 50 Is 6.25% of what number?

using proportion

50/6.25%=x/100%

x=100*50/6.25

x=800

Part 10) Chris works at Higgins’ Automart and is selling a new Shelby Mustang for $59,000. If he earns a commission of 3%, how much money does he earn?

we know that

$59,000 ------> represent the 100%

using proportion

Find how much money represent 3% of the commission

59,000/100%=x/3%

X=$59,000*(3/100)=$1,770

4 0

2 years ago

Based on the housing data below, which equation can be used to calculate

Nuetrik [128]

Answer: y= 0.074x + 50.48

Step-by-step explanation:

6 0

2 years ago

In 2000, a company had 1147 stores nationwide. By 2002, this total had grown to 1542. If the number of stores continues to gro

mr_godi [17]

12226 stores will be there in 2016

Solution:

The growth function is given as:

$y = a(1+r)^t$

Where,

y is the future value

a is the initial value

r is the growth rate

t is the number of years

From given,

In 2000, a company had 1147 stores nationwide

By 2002, this total had grown to 1542

Therefore,

y = 1542

a = 1147

t = 2000 to 2002 = 2 years

r = ?

Substituting we get,

$1542 = 1147(1+r)^2\\\\(1+r)^2 = \frac{1542}{1147}\\\\(1+r)^2 = 1.34437$

Taking square root of both sides

$1+ r = 1.1594\\\\r = 1.1594 - 1\\\\r = 0.1594$

If the number of stores continues to grow exponentially at the same rate, how many stores will there be in 2016?

Therefore,

y = ?

a = 1147

r = 0.1594

t = 2000 to 2016 = 16 years

Substituting we get,

$y = 1147(1 + 0.1594)^{16}\\\\y = 1147(1.1594)^{16}\\\\y = 1147 \times 10.6593\\\\y = 12226.3311 \approx 12226$

Thus 12226 stores will be there in 2016

4 0

3 years ago

Question 2 (1 point)

Zigmanuir [339]

Answer:

No solution

Explanation:

When simplified, the statement 7=17 is formed. That statement is false, so there is no solution to this equation.

4 0

2 years ago

Read 2 more answers