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Arlecino [84]
3 years ago
6

A student computed the average of her 7 test scores by adding the scores together and dividing this total by the number of tests

. The average was 87. On her next test, she scored a 79. What is her new test average?
Mathematics
1 answer:
mina [271]3 years ago
7 0
After the new test, she now has taken 8 tests.
Set it up just like when finding the average:
(87+79)/8
Solve for the new test average
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A bus driver drives 547.25 miles on day one, on day 2 he drives 327.875. How many more miles did he drive on the first day then
Alika [10]

ANSWER: 219.375

subtract the second day from the first day.

547.250-327.875=219.375

7 0
3 years ago
$750 loan 7% a year three years of no payments how much interest are you paying?
Anastaziya [24]

Answer:

$157.50

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 7%/100 = 0.07 per year,

then, solving our equation

I = 750 × 0.07 × 3 = 157.5

I = $ 157.50

The simple interest accumulated

on a principal of $ 750.00

at a rate of 7% per year

for 3 years is $ 157.50.

5 0
3 years ago
100 POINTS PLEASE HELP ASAP!!!!
Alika [10]

Answer: To clear an equation of decimals, multiply each term on both sides by the power of ten that will make all the decimals whole numbers. In our example above, if we multiply .25 by 100, we will get 25, a whole number. Since each decimal only goes to the hundredths place, 100 will work for all three terms.

So let's multiply each term by 100 to clear the decimals:

(100)0.25x + (100)0.35 = (100)(-0.29)

25x + 35 = -29

Now we can solve the equation as normal:

25x + 35 - 35 = -29 - 35

25x = -64

x = -2.56 Since the original was in decimal form, the answer should most likely also be in decimal form.

Let's look at one more:

1.75x + 4 = 6.2

We have to think a little more carefully about what multiple of ten to use here. 6.2 only needs to be multiplied by 10, but 1.25 needs 100, so we will multiply every term by 100. Don't forget to multiply the 4 by 100 as well.

(100)(1.75x) + (100)(4) = (100)(6.2)

175x + 400 = 620

We had to be extra careful as we multiplied by 100. Now we can solve the equation as normal:

175x + 400 - 400 = 620 - 400

175x = 220

x = 1.26

Step-by-step explanation:

8 0
3 years ago
In a circle a chord 10 inches long is parallel to a tangent and bisects the radius drawn to the point of tangency. How long is t
Lorico [155]
Check the picture below.

keeping in mind that the point of tangency for a radius line and a tangent is alway a right-angle, since the "red" chord is parallel to the "green" tangent line outside, then the chord is cutting the "green" radius there in two equal halves at a right-angle, as you see in the picture.

we know the chord is 10 units long, so 5 + 5, since is perpendicularity with the radius will also cut the chord in two equal halves.

anyhow, all that said, we end up with triangle you see on the right-hand-side, and then we can just use the pythagorean theorem.

\bf \textit{using the pythagorean theorem}
\\\\
c^2=a^2+b^2
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
-------\\
c=2a\\
a=a\\
b=5
\end{cases}\implies (2a)^2=a^2+5^2

\bf (2^2a^2)=a^2+25\implies 4a^2=a^2+25\implies 3a^2=25
\\\\\\
a^2=\cfrac{25}{3}\implies a=\sqrt{\cfrac{25}{3}}\implies a=\cfrac{\sqrt{25}}{\sqrt{3}}\implies a=\cfrac{5}{\sqrt{3}}
\\\\\\
\textit{and then we can \underline{rationalize the denominator} }
\\\\\\
a=\cfrac{5}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies a=\cfrac{5\sqrt{3}}{\sqrt{3^2}}\implies a=\cfrac{5\sqrt{3}}{3}

7 0
3 years ago
Find the total weekly earnings for a waitress with a weekly salary of $275 plus a 5% commission on dibners,if totalnworth of the
Citrus2011 [14]

The weekly earning for the waitress is $475.

Step-by-step explanation:

Weekly salary = $275

Commission = 5%

Worth of dinners served = $4000.00

Amount of commission = 5% of worth of dinners served

Amount\ of\ commission=\frac{5}{100}*4000.00\\Amount\ of\ commission=0.05*4000.00\\Amount\ of\ commission=\$200

Total earned = Weekly salary + Amount of commission

Total earned = 275+200=\$475

The weekly earning for the waitress is $475.

Keywords: percentage, commission

Learn more about percentages at:

  • brainly.com/question/9045597
  • brainly.com/question/9103248

#LearnwithBrainly

7 0
3 years ago
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