MATHEMATICS HIGH SCHOOL

Aubree has a coin collection. She keeps 5 of the coins in her box, which is 2% of thecollection. How many total coins are in her collection?

Answers

Answer 1

Answer:

Answer:

250

Step-by-step explanation:

you enter into a calculator 5x100/2

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Isaac has had the same 2 credit cards for 10 years. He has a total credit limit of $12,000. He never makes late payments, and his student loans are almost paid off.Which is most likely to occur?

A.
He will be approved for a car loan with a low interest rate.

B.
His application for a new credit card will be denied.

C.
He will pay a high rate for a mortgage.

D.
He will have a low credit score.

Answers

D. He will have a low credit score.

What is the solution of the inequality 9 - x^2 < 0?(a) {x | -3 < x < 3}
(b) {x | x > 3 or x < -3}
(c) {x | x | x > 3}
(d) {x | x < -3}

please show how you got the answer. thank you!

Answers

9 - x² < 0
-9    -9 to remove 9 deduct it from both sides
- x² < -9
   ÷ -1 ÷-1 to remove the negative sign, divide both sides by -1
       x² < 9
   √x² < √9    to remove the exponent of 2, find the square root of both sides.
   x    < 3    Choice A.

To check:

9 - x² < 0
9 - 3²   < 0
9 - 9 < 0
0 < 0

$\9-x^2\ \textless \ 0\n3^2-x^2\ \textless \ 0\n(3-x)(3+x)\ \textless \ 0\n\{3-x\ \textless \ 0\ \ \wedge\ \ 3+x\ \textgreater \ 0\}\ \ \ \vee\ \ \ \{3-x\ \textgreater \ 0\ \ \wedge\ \ 3+x\ \textless \ 0\}\n\{-x\ \textless \ -3\ \ \wedge\ \ x\ \textgreater \ -3\}\ \ \ \ \ \ \vee\ \ \ \ \ \{-x\ \textgreater \ -3\ \ \wedge\ \ x\ \textless \ -3\}\n~\ \ \ \{x\ \textgreater \ 3\ \ \ \wedge\ \ \ x\ \textgreater \ -3\}\ \ \ \ \ \ \vee\ \ \ \ \ \ \{x\ \textless \ 3\ \ \ \ \wedge\ \ \ x\ \textless \ -3\}\n~\qquad \qquad \ \ x\ \textgreater \ 3\ \qquad \ \ \ \ \ \vee\ \ \ \ \ \qquad \ x\ \textless \ -3\$

The solution is (b) {x | x > 3 or x < -3}

Write an expression for the shaded area

Answers

Answer:

4x(x+2) - x(3x+5)

Step-by-step explanation:

the area of the whole box is 4x(x+2)

to find the area of the shaded portion you have to subtract the area of the tiny box from the big box

the area of the tiny box is x(3x+5)

so, 4x(x+2) - x(3x+5) is the expression you can use to find the area of the shaded portion

Long division 37 divided by 158

Answers

The quotient after the long division of the number 37 by 158 gives the number 0.234177....

Given a division problem.

Dividend is 37 and the divisor is 158.

We have to divide these to numbers.

Since dividend is less than the divisor, we have to make it greater or equal by adding zeroes to dividend and consequently there will be decimal point and zeroes in quotient.

Adding one zero, dividend becomes 370.

And the first digit of the quotient will be of the form 0., which 0 followed by a decimal point.

370 = (158 × 2) + 54

Next digit of the quotient becomes 2. so the quotient till now becomes 0.2.

Remainder is 54.

Adding a 0,

540 = (158 × 3) + 66

The quotient becomes 0.23.

Remainder is 66.

Adding again 0,

660 = (158 × 4) + 28

Quotient becomes 0.234.

This goes on like this,

When we do it again and again, we will get quotient as 0.234177...

Learn more about Division here :

brainly.com/question/2684764

#SPJ6

158 divided by 37* You did it the wrong way around, ANYWAYS! The answer would be 4.27027027027. I'd really appreciate a Brainliest :)

A gazelle runs 780 feet in 12 seconds. Angela wants to determine how far a gazelle could run in 1 minute at this rate. Explain how to use equivalent fractions to find the distance a gazelle could run in 1 minute. Then write the equivalent fractions.

Answers

Answer:

In 1 min a gazelle runs 3,900 ft.

As a fraction, 1/65

In order to find the solution to this problem you could use a table.

Since we are using seconds we have to convert the 1 min = 60 seconds.

Sec | 12 | 60

Fts | 780 | x

12 goes into 60 5 times, so we have to multiply 780 by 5 which gives us 3900.

x=3900

As noted in an earlier chapter, Mars Inc. says that until very recently yellow candies made up 20% of its milk chocolate M&M’s, red another 20%, and orange, blue, and green 10% each. The rest are brown. On his way home from work the day he was writing these exercises, one of the authors bought a bag of plain M&M’s. He got 29 yellow ones, 23 red, 12 orange, 14 blue, 8 green, and 20 brown. Is this sample consistent with the company’s stated proportions? Test an appropriate hypothesis and state your conclusio