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2 years ago

13

Use the order of operations to solve. Please write the problem number on your paper and show your work for this problem. Work wi

ll be submitted at the end of the quiz.
(6 + 7) × (43 − 2) =

2 answers:

umka21 [38]2 years ago

5 0

To this question, 533 is the answer

Sedaia [141]2 years ago

4 0

Answer:

533

Step-by-step explanation:

(6+7)·(43-2)

do the parentheses ()

13·41

533

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4 days I have 140 copies of a book, 9 days I only have 50 left. Write an equation where c(t)=my+b where c is number of copies st

alexandr402 [8]

Answer:

$c(t)=-18t+212$ .

Step-by-step explanation:

We have been given that 4 days I have 140 copies of a book, 9 days I only have 50 left. We are asked to write an equation $c(t)=my+b$ , where c is number of copies still on hand and t days being available.

We have two points on line (4,140) and (9,50). Now, we will use these points to find slope as:

$m=\frac{140-50}{4-9}$

$m=\frac{90}{-5}$

$m=-18$

Now, we will use point-slope form of equation $y-y_1=m(x-x_1)$ and substitute $m=-18$ and coordinates of point (9,50) as:

$y-50=-18(x-9)$

$y-50=-18x+162$

$y-50+50=-18x+162+50$

$y=-18x+212$

Therefore, our required equation would be $c(t)=-18t+212$ .

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2 years ago

Find the area of the shape shown<br> below.

Allisa [31]

Answer:

The area of the figure is 28 units².

Step-by-step explanation:

Find the area of the full rectangle, ignoring the triangle.

$a = lw \\ a = 4 \times 8 = 32$

Then, find the area of the triangle:

$a = \frac{bh}{2} \\ a = \frac{2 \times 4}{2} \\ a = 4$

Finally, subtract:

$32 - 4 = 28$

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2 years ago

Prove the theorem (AB )^T= B^T. A^T

Lisa [10]

Answer:

$(AB)^T = B^T.A^T (Proved)$

Step-by-step explanation:

Given (AB )^T= B^T. A^T;

To prove this expression, we need to apply multiplication law, power law and division law of indices respectively, as shown below.

$(AB)^T = B^T.A^T\\\\Start, from \ Right \ hand \ side\\\\B^T.A^T = \frac{B^T.A^T}{A^T}.\frac{B^T.A^T}{B^T} (multiply \ through) \\\\ = \frac{A^{2T}.B^{2T}}{A^T.B^T} \\\\=\frac{(AB)^{2T}}{(AB)^T} \ \ (factor \ out \ the power)\\\\= (AB)^{2T-T} \ (apply \ division \ law \ of \ indices; \ \frac{x^a}{x^b} = x^{a-b})\\\\= (AB)^T \ (Proved)$

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2 years ago

Jody has 2 red marbles, 5 blue marbles, and 9 yellow marbles. What is the ratio of red marbles to blue marbles? A. 16:2 B. 2:16

vesna_86 [32]

Answer:

D

Step-by-step explanation:

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2 years ago

Read 2 more answers

If the mean of the data below is 3.8, find m<br>x 1 2 3 4 5 6<br>f 1 4 7 m 6 3

zloy xaker [14]

Answer:

m = 1.8

Step-by-step explanation:

Given data is as follows :

x 1 2 3 4 5 6

f 1 4 7 m 6 3

We need to find the value of m if the mean of the data is 3.8.

Mean = sum of observations/no. of observations

So,

$3.8=\dfrac{1+4+7+m+6+3}{6}\\\\22.8=21+m\\\\22.8-21=m\\\\m=1.8$

So, the value of m is equal to 1.8.

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2 years ago