Mathematics Middle School

HELPPPPP: Garret drove 432 miles on 18 gallons of gas. Derrick drove 364 miles on 14 gallons of gas. Who has the better gas mileage?

Answers

Answer 1

Answer:

Derrick would be your answer.

Answer 2

it would be Derrick.

Related Questions

Answer this. Show your work. Worth 10 points. Under 4 hours. URGENT.

Answers

The correct answer would be 200 miles. If 30 miles represented 3/5ths of an inch, then 72, 50, and 18 miles would all be too small.
For example 72 miles would only represent a little over an inch, so 200 miles would be the only possibility.

Here’s the work. Hope this helps

50. MULTIPLE CHOICE Ham costs $4.48 per pound. Cheese costs $6.36 per pound. You buy 1.5 pounds of ham and 0.75 pound of cheese. How much more do you pay for the ham? (Skills Review Handbook) A. $1.41 B. $1.95 C. $4.77 D. $6.18

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The answer is B. 1.95

The answer is B:1.95

7.30. Julie wants to give a 45 -minute speech, and she speaks 120 words per minute. Her written notes contain 500 words per page. How many pages should she prepare?

Answers

Answer:

10.8 pages must be prepared

Step-by-step explanation:

We first have to figure out how many words Julie would be able to say in 45 minutes. Since she can say 120 words per minute, she can speak 120*45 or 5400 words total.

We also know that Julie can write 500 words per page. Since she has 5400 words total, she needs to prepare 10.8 pages total (5400 divided by 500). If you are looking for a whole number answer, Julie needs at least 11 pages to write her complete speech.

Answer:

The number of pages she should prepare is 10.8 pages.

Step-by-step explanation:

Given:

Julie wants to give a 45 -minute speech, and she speaks 120 words per minute.

Her written notes contain 500 words per page.

Find:

The number of pages she should prepare

Step 1 of 1

We will set up a conversion factor:

number of pages [tex]=(45$ minutes $) \cdot \frac{120 \text { words }}{1 \text { minutes }} \cdot \frac{1 \text { pages }}{500 \text { words }}$[/tex]

[tex]$$\begin{aligned}&=\frac{45 \cdot 120}{500} \text { pages } \\&=10.8 \text { pages. }\end{aligned}$$[/tex]

In triangle ABC, AB=BC, AC=10cm. From point D, which is in the middle of AB, perpendicular bisector DE is drawn to side BC and intersects it at point E. A segment is then drawn from E to A. The perimeter of triangle ABC is equal to 40 cm. Find the perimeter of △AEC.

Answers

Answer:

Step-by-step explanation:

We are given that the perpendicular bisector of side AB of ∆ABC intersects side BC at point D.

this means that side AE=BE.

Also, we could clear; ly observe that

ΔBED≅ΔAED

( since AE=BE, side ED common, ∠BED=∠AED

so by SAS congruency, the two triangles are congruent)

Now we are given that:

the perimeter of ∆ABC is 12 cm larger than the perimeter of ∆ACD.

i.e. AB+AC+BC=AC+AD+CD+12

AB+BC=AD+CD+12

as AD=BD

this means that AD+CD=BD+CD=BC

AB+BC=BC+12

AB=12

mark as brainliest

The perimeter of 40 cm. and lengths of two sides of ∆ABC where side AC is 10 cm gives;

The perimeter of ∆AEC is 25 centimeters

How can the perimeter of the formed ∆AEC be found?

Given:

AB = BC

AC = 10 cm.

The perimeter of ∆ABC = 40 cm.

Therefore;

∆ABC is an isosceles triangle

AB + BC + AC = 40

AB + AB + 10 = 40 by substitution property of equality

2 × AB = 40 - 10 = 30

AB = 30 ÷ 2 = 15

AB = BC = 15 cm.

Using the rule of cosines, we have;

10² = 15² + 15² - 2×15×15 × cos(A)

cos(A) = (15² + 15² - 10²) ÷ (2×15×15)

A = arccos (350 ÷ 450) ≈ 51.06°

<BED ≈ 180° - (90° + 51.06°) = 38.94°

DB = AB ÷ 2

Therefore;

DB = 15 ÷ 2 = 7.5

From the rule of sines, we have;

DE/sin(51.06°) = 7.5/sin(38.94°)

DE = 7.5/sin(38.94°) × sin(51.06°) ≈ 9.28

According to Pythagorean theorem, we have;

BE ≈ √(7.5² + 9.28²) ≈ 11.93

Similarly, we have;

AE ≈ √(7.5² + 9.28²) ≈ 11.93

EC ≈ 15 - 11.93 = 3.068

Perimeter of ∆AEC = AE + EC + AC

Which gives;

The perimeter of ∆AEC = 11.93 + 3.068 + 10 ≈ 25

The perimeter of ∆AEC = 25 cm

Learn more about the rule of sines and cosines here:

https://brainly.com/question/4372174

#SPJ1

2. GYMNASIUM You want to estimate the number of students in your school who think the gymnasium should be remodeled. You survey 12 students on the basketball team. Determine whether the sample is biased or unbiased. Explain. (Section 10.6)

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Yes your going to get biased opinions and they would all say yes because they play basketball in the gym so obviously they want good things so they want it to be remodeled

It will be biased definitely because ur asking a sport focused group of students

I need an answer for number 8 really quick
help me, please!!!

Answers

Easy just divide the first two number by each other and you’ll bet the unit rate

1 Pound = $28.80/8P = $3.80

Therefore, the equation linking p and C is :

p=3.80C

What is each product?
a. (-6)(-9)
b. 28(-0.25)

A -54, -7
B 54 , 7
C 54, -7
D -54 , 7

Answers

Answer:

C 54, -7

Step-by-step explanation:

a. (-6)(-9) = 54

b. 28(-0.25) = -7

Answer: C 54, -7

The answer to your question is C

19. Ken bought 8 markers and 20 pens. Each marker cost $2.45. He gave the cashier $100 and received $26 change. What was the cost of each pen?

Answers

Answer:
$2.28
Explanation:
2.45 multiplied by 8 is 19.6, 19.6 plus 26 is 45.6. 45.6 divided by 20 is 2.28

Answer:

Each pen costs $2.72

Step-by-step explanation:

100 - 26 = $74 spent total

8 x 2.45 = $19.60 spent on markers

74 - 19.60 = $54.40 spent on pens

54.40/20 = $2.72 per pen

Simplify.
(x + 1) x 2

Answers

The answer is 2x + 2

Answer:

2x+2

Step-by-step explanation:

Open the bracket and multiply all terms in the bracket with the term out side the bracket

2*x +2*1

=2x+2

Hope it help

36. MULTIPLE CHOICE What is the solution of 2n - 4 > - 12? (Section 4.4) A. n < -10
B. n < -4
C. n > -2 D. n > -4

Answers

Answer:

D. n > -4

Step-by-step explanation:

2n - 4 > -12

2n > -8

n > -4

for it to be :
D.) N>-4
you would have to do it step by step:
2n-4>-12
then-
2n>-8
then lastly-
n>-4

Simplify the expression. (Section 3.1) 47. 5 + 3.2n - 6 - 4.8n

Answers

Answer: -1-1.6n

Step-by-step explanation:

To simplify this expression, we combine the number terms, 5 and -6, to get -1. Then we combine the terms with n, to get -1.6n.

Our final answer is -1-1.6n

combine the like terms

Circle the correct option: A, B, C, or D.

4. Which of the following is equal to 1.5 kg?

A 150 g
B 15 g
C 1.5 g
D 1,500 g

Answers

Answer:

Option D

Step-by-step explanation:

1kg =1000g1.5kg = 1000 x 1.5 = 1,500g

Hope this helps.

Good luck ✅.

1,500g it’s the answer cuz i’m smart

HELP PLEASE!!!!!! INCOMPLETE ANSWERS AND POINT STEALERS WILL BE REPORTED

Answers

Answer:

2nd answer

Step-by-step explanation:

Number 3 at least means that i includes 3 and above for example i want at least 3 apples that means you want 3 or more apples

Answer:

B the second one

Step-by-step explanation:

it is 3 or more and a filled hole means it includes 3 and more means going in to the positive way

Please answer correctly and answer all 2 QUESTIONS!

IF you don't know the answer DON'T answer!!

I will mark brainliest so hurry up and get your 60 points ! ty

Answers

Answer:

check explanation

Step-by-step explanation:

The first one is (x+5, y-3) because the shape has moved 5 points to the right and 3 points down

For the second one, basically, you need to take the shape and move it two grid points to the right and four squares down

Hope this helps

1: right five down three

1.Is 4/5 equivalent to 32/45?

2.Is 7/8 equivalent to 28/32?

3.Is 1/10 equivalent to 30/100?

4.Is 6/8 equivalent to 24/32?

5.Is 5/8 equivalent to 30/70?

6.Is 2/3 equivalent to 24/100?

7.Is 2/10 equivalent to 30/60?

8.Is 1/5 equivalent to 20/100?

9.Is 5/6 equivalent to 20/30?

10.Is 3/4 equivalent to 45/70?

Answers

When comparing fractions, you can multiply or divide to find equivalent fractions.

Number 1: If I were to multiply 5 to 45, I would have to do the same to the numerator of the fraction. 45/5 = 9. So we know now that 5 times 9 equals 45. Lets do that to the numerator also. 4 times 9 equals 36 so 4/5 times nine is 32/45.

So yes, this would be equivalent.

Number 2: 7/8 times 4 equals 28/32

Yes, this would be equivalent.

Number 3: 10 times 10 is 100, 1 times ten is NOT 30.