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3 years ago

The sides of a rectangle are in the ratio 3.2. What is the lengi

Mathematics

2 answers:

grigory [225]3 years ago

5 0

Answer:

11 and 16.5

Step-by-step explanation:

3x : 2x = length: width

55 = (3 + 2)(2)x -->

55 = 10x -->

5.5 = x -->

11 and 16.5 = width, length

Dafna11 [192]3 years ago

3 0

Answer:

16.5

Step-by-step explanation:

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scott started his banking account with $150 and is spending $7 per day on lunch. this situation models which type of function

Zina [86]

Answer:

linear function: y = -7x + 150

Step-by-step explanation:

Scott's situation represents a linear function because he is spending $7 each day on lunch. His initial amount in his bank account is $150 and each day he spends the same rate on lunch, $7. So, for any amount of days - represented by 'x' in the equation, you would multiply by -7 (since he is spending) and subtract this amount from his original amount of $150. In this equation, 'y' is equal to his total after 'x' amount of days.

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4 years ago

John wants to make cookies. To make cookies, he need 2 over 3 of a cup of flour per batch of cookies. If John has 4 cups of flou

Mnenie [13.5K]

$\dfrac{2}{3} \text { cups = } 1 \text { batch}$

----------------------------------------------
Find 1 cup :
----------------------------------------------

$1 \text { cup = } 1 \div \dfrac{2}{3} \text { batch}$

$1 \text { cup = } 1 \times \dfrac{3}{2} \text { batch}$

$1 \text { cup = } \dfrac{3}{2} \text { batch}$

----------------------------------------------
Find 4 cups :
----------------------------------------------
$4 \text { cups = } \dfrac{3}{2} \times 4 \text { batch}$

$4 \text { cups = } \6 \text { batches}$

--------------------------------------------------------------------------------------------
Answer: John can make 6 batches with 4 cups of flour.
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6 0

4 years ago

Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE=11x−3 and CE=12−4x. Find the length of AC.

Oxana [17]

Answer:

AC=16 units

Step-by-step explanation:

The diagonals of a parallelogram bisect each other. It was given that diagonals AC and BD intersect at point E.

This implies that: $AE=CE$ .

We substitute the expression for x, we get:

$11x-3=12-4x$ .

Group similar terms to get:

$11x+4x=12+3$ .

$15x=15$ .

$x=1$

AC = 2(12-4x)

AC=2(12-4(1))

AC=2(8)

AC=16

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3 years ago

Mrs. Smith's class is working on a variety of science experiments. Each

SVETLANKA909090 [29]

Answer:

Step-by-step explanation:

If there are <em>n</em> students, then the number of pairs is $\frac{n(n-1)}{2}$ .

With 12 students, $\frac{12(12-1)}{2} = \frac{132}{2}=66$ pairs can be formed.

The reason the formula works is this: Each of the 12 students can be paired with 11 other students (no student is paired with him/her self). But counting 12 x 11 = 132 counts each pair <u>twice</u>. Example: student A can be paired with student B,..., student B can be paired with student A. The pair was counted two times.

See the attached image that shows pairings of 5 students. There are

5(5 - 1)/2 = 5(4)/2 = 10 pairs.

8 0

3 years ago

Mike played a game and earned 25 points if he then lost 30 points what was his final score?

Vlad1618 [11]

Answer:

Step-by-step explanation:

I subtracted

4 0

3 years ago

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