MATHEMATICS HIGH SCHOOL

On are recent 160 mile road trip ciara's car used 7 3/4 gallons of gas. how many gallons should she expect to use on a 250 mile road trip

Answers

Answer 1
Answer:

Answer:

12.11 gallons

Step-by-step explanation:

Ciara's car used gas on 160 mile road trip = 7(3)/(4) gallons

                                                                      = (31)/(4) gallons

Ciara's car used gas on 1 mile road trip = ((31)/(4))/(160)

                                                                = (31)/(4)* (1)/(160)

                                                               = (31)/(640) gallons

                                                           

Ciara expect to use on a 250 mile road trip = (31)/(640)* 250

                                                                        = (775)/(64)

                                                                        = 12(7)/(64)

                                                                         ≈ 12.11 gallons

Ciara should expect to use 12(7)/(64)  or 12.11 gallons of gas.
Answer 2
Answer: Ciara should expect to usr 10 2/4 gallons of gas

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Which of the following statements is false? (5 points) Select one: a. The sum of two rational numbers is always rational. b. The product of a nonzero rational number and an irrational number is always irrational. c. The product of two rational numbers is always rational. d. The sum of two irrational numbers is always rational.
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What is the distance between points M and H? Round to the nearest tenth of a unit. units Two points on a coordinate grid. Point Ms coordinates are negative two, five. Point Hs coordinates are six, zero.

Answers

I graphed the points and I observed that it can form a right triangle. The distance required is the hypotenuse of the right triangle.

long leg is from -2 to 6 value of the x line. Its measure is 8.
short leg is form 0 to 5 value of the y line. Its measure is 5.

We will use the Pythagorean theorem to get the hypotenuse or distance of two points.

a² + b² = c²
8² + 5² = c²
64 + 25 = c²
89 = c²
√89 = √c²
9.43 = c

The distance of the two points, M and H, is 9.43

40 = 90^2/16 sinx cosx find x

Answers

Answer:

x = 4.545

Step-by-step explanation:

Given the expression

40=(90^2)/(16) sinxcosx\n\nCross\ multiplying;\n\n16*40 = 90^2 sinxcosx\n\n640 = 90^2 sinxcosx\n\n(640)/(8100) = sinxcosx\n from\ trig\ identity, sin2x = 2sinxcosx\nsinxcosx = sin2x/2\n

Hence, \ (640)/(8100) = (sin2x)/(2) \n\n(2*640)/(8100) = sin2x\n \n(1280)/(8100)=sin2x\n \n0.158 = sin2x\n\n2x = sin^(-1) 0.158\n\n2x = 9.09\nx = 9.09/2\nx =4.545

Help me plz thxxx thx thx

Answers

The area of the base is 25, and the height is 12+12*2=36, so the volume is 25*36=900.

PLEASE HELP ME!!!!!!!!!:(

Answers

Answer:

u can look up the title and the entire answer key will come up

Simplify as far as possible.
7
√
5
−
3
√
5

Answers

Answer:

4 sqrt(5)

Step-by-step explanation:

7 sqrt(5) - 3 sqrt(5)

These are like terms so we can subtract

4 sqrt(5)

Final answer:

To simplify a radical expression 7√5 - 3√5, subtract the coefficients and keep the radicand the same. The simplified expression is 4√5.

Explanation:

To simplify the given expression, we need to combine the terms involving square roots. We can notice that the terms have the same radicand, which is 5. So, we can combine them by subtracting the coefficients. The simplified expression is:



7√5 - 3√5 = (7 - 3)√5 = 4√5

Learn more about Simplifying a Radical Expression here:

brainly.com/question/36413195

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The Surf Shop gives surfinglessons to 72 people. If the
shop gives lessons to groups
of 5 people, how many total
groups will there be?

Answers

Answer:

15

Step-by-step explanation:

Just divide 72 by 5 because of there being 72 total peoples and them being DIVIDED into groups of 5.

72/5=14.4

Though you cant have a .4 group of people, so there would be 15 groups.
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