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Digiron [165]
3 years ago
15

A teacher is writing a quiz. He wants the ratio of the number of easy questions to the total number of questions to be 16 font s

ize decreased by 5 : font size decreased by 5 18. If the teacher wants fewer than 16 easy questions on the​ quiz, how many easy questions should he ​write?
quick plzz
Mathematics
1 answer:
statuscvo [17]3 years ago
4 0
11 easy questions 13 hard questions
You might be interested in
Determine whether the relation is a function. <br> {(-4, 1), (0, 0), (4, 0), (0, 4)}
olga nikolaevna [1]

Answer:

It isn't

Step-by-step explanation:

An x can't have to y's

way to remember: x=exes y=wives

you can have multiple exes (x's) but only one wife (y's)

0 has two y's

6 0
3 years ago
Read 2 more answers
Which expression represents the product of negative three-fourths x and –8x?
den301095 [7]

Answer:

6x²

Step-by-step explanation:

-\frac{3}{4} x\times \left( -8x\right)  =\frac{3}{4} x\times 8x

                     =\frac{3}{4} \times 8\times x\times x          

                     =\frac{24}{4} \times x^{2}

                     =6x^2

7 0
2 years ago
Consider this figure of a hexagon.
notsponge [240]
A)
It looks like the [irregular] hexagon has 3 rectangles and 2 triangles within it.
So let's exclude the triangular corners on bottom left and top right for now.
First we have a large rectangle covering most of the upper left of the polygon. 20 ft × 7 ft = 140 sq.ft.
Now we have a rectangle on the bottom right. The width is 11 ft, so take the 7 away from that, 4 ft. × 14 ft. on bottom. 4 ft × 14 ft = 56 sq.ft.
The last small rectangle fits on the right between the 2 other rectangles. It is 24-20 on top/bottom × 7-6 right/left. 4 ft × 1 ft = 4 sq.ft.
Now for the triangles: bottom left is 11-7 × 24-14 = 4 ft × 10 ft. 1/2bh = 1/2×10×4 = 20 sq.ft.
Top right is 24-20 × 11-5 = 4 ft × 6 ft. 1/2bh = 1/2×4×6 = 12 sq.ft.

B)
Add them all together for the total area (A):
A = 140 + 56 + 4 + 20 + 12 = 140+60+32
= 232 sq.ft.

Hope that explains it well enough! ;)
6 0
3 years ago
Read 2 more answers
A boat is being towed such that the tow line is at an angle of 30° with respect to the surface of the ocean. If the boat is towe
pentagon [3]

Answer:

C. 303,000 Joules

Step-by-step explanation:

1. use abcos(theta)

a=50

b=7000

theta=30 degrees

2. (50)(7000)cos(30)=303,000

5 0
2 years ago
Read 2 more answers
Given that $x \le -7,$ identify all the correct conclusions. (A) $3x \le -21.$ (B) $3x \ge -21.$ (C) $-3x \le 21.$ (D) $-3x \ge
exis [7]

Answer:

Options A and D are correct choices.

Step-by-step explanation:

We have been given an inequality x\leq -7 and we are asked to find the correct options from our given choices.

Let us solve inequalities in our given options one by one to see which of these matches with our given inequality.

(A) 3x\leq -21  

x\leq \frac{-21}{3}

x\leq -7

We can see that option A gives the same answer as our given inequality, therefore, option A is the correct choice.

(B) 3x\geq -21

x\geq \frac{-21}{3}

x\geq -7

This inequality represented in option C gives solution that x should be greater than or equal to -7, which is opposite to our given inequality, therefore, option B is incorrect.

(C) -3x\leq 21

Dividing inequality by a negative number swaps inequality sign.

x\geq \frac{21}{-3}

x\geq -7

This inequality gives solution that x should be greater than or equal to -7, which is opposite to our given inequality, therefore, option C is incorrect.

(D) -3x\geq 21  

Dividing inequality by a negative number swaps inequality sign.

x\leq \frac{21}{-3}

x\leq -7

We can see that option D gives the same answer as our given inequality, therefore, option D is the correct choice.  

8 0
3 years ago
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