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3 years ago

Which statement is true

Mathematics

2 answers:

satela [25.4K]3 years ago

4 0

It would be the first one

Step-by-step explanation:

GuDViN [60]3 years ago

4 0

Answer:B

Explanation

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A druggist needs 25 liters of a solution that is 16% iodine. She has one solution that is 12 % iodine and another that is 37 %.

GalinKa [24]

Answer:

21 liters of the 12% solution and 4 liters of the 37% solution

Step-by-step explanation:

Represent the number of liters of the first solution as x and the second as y. Now, the total liters of iodine is going to be 16% of 25 = 4 liters of iodine, and the total liters of each solution is going to be 25. Now, we can setup two equations:

0.12x+0.37y = 4

x + y = 25

Multiplying the bottom equation by 0.12, we have

0.12x + 0.12y = 3

Subtracting, we have

0.12x+0.37y=4

0.12x + 0.12y = 3

= 0.25y = 1

= y = 4

= x = 25 - 4 = 21

7 0

2 years ago

The front of a tent is an equilateral triangle with the ratio of its base, b, to its height, h, given by b/h=2/√ 3 . Which equat

Agata [3.3K]

Picturing the tent helps, but we can actually solve this question using simple algebra and no knowledge of triangles.
The key is this function:
(b/h) = 2/√3
We want to get h by itself. First, multiply both sides by h:
b = h(2/√3) Now multiply both sides by the reciprical, (√3/2)
(√3/2) b = h

Therefore, the answer is C) h= b(√3/2)

3 0

3 years ago

Mrs Li's classroom is 34 feet wide and 42 feet long. Objects in classroom Mrs. Li's Desk, Fish Tank, Math Center, or Reading Cen

sveticcg [70]

Answer:

multiply length with breadth which is 34 *42

3 0

2 years ago

Two boys and three girls are auditioning to play the piano for a school production. Two students will be chosen, one as the pian

finlep [7]

Answer:

30% is the correct answer.

Step-by-step explanation:

Total number of boys = 2

Total number of girls = 3

Total number of students = 5

To find:

Probability that the pianist will be a boy and the alternate will be a girl?

Solution:

Here we have to make 2 choices.

1st choice has to be boy (pianist) and 2nd choice has to be girl (alternate).

$\bold{\text{Required probability }= P(\text{boy as pianist first}) \times P(\text{girl as alternate})}$

Formula for probability of an event E is given as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

For $P(\text{boy as pianist})$ , number of favorable cases are 2 (total number of boys).

Total number of cases = Total number of students i.e. 5

So, $P(\text{boy as pianist})$ is:

$P(\text{boy as pianist}) = \dfrac{2}{5}$

For $P(\text{girl as alternate})$ , number of favorable cases are 3 (total number of girls).

Now, one boy is already chosen as pianist so Total number of cases = Total number of students left i.e. (5 - 1) = 4

$P(\text{girl as alternate}) = \dfrac{3}{4}$

So, the required probability is:

$\text{Required probability } = \dfrac{2}{5}\times \dfrac{3}{4} = \dfrac{3}{10} = \bold{30\%}$

6 0

3 years ago

WILL GIVE BRAINIEST ANSWER!!!Which lines are parallel to the graph of 4x – y = 6? Check all that apply.

kondaur [170]

If it is parallel, it means the slope is the same. We can convert 4x-y=6 into 4x-6=y after we isolate the x. We can also convert these other equations into slope intercept form. The answers are C, D, and F.

5 0

3 years ago