Ask question

Ask question

All categories

3 years ago

10

The ratio of math teachers to choir teachers is 3:2 respectively. There are 12 math teachers. How many math and choir teachers a

re there all together?

2 answers:

marysya [2.9K]3 years ago

8 0

Answer:

30

Step-by-step explanation:

$3 + 2 = 5 \\ \frac{2}{5} \times x = 12 \\ \\ \frac{2x}{5} = 12 \\ cross \: mutiply \\ 2x = 60 \\ divde \:both \: sides \: by \: 2 \\ x = 30$

IrinaK [193]3 years ago

8 0

Answer:

30

Step-by-step explanation:

You might be interested in

From a random sample of 40 people at a dinner party, 15 ordered the steak dinner. If there are a total of 212 people at the dinn

vesna_86 [32]

B maybe or A
Because 15 percent of 212 is 31.8 so it’s closer to 40 maybe

5 0

3 years ago

According to the University of Nevada Center for Logistics Management, 6% of all merchandise sold in the United States gets retu

KatRina [158]

Answer: 0.1

Step-by-step explanation:

Given : A Houston department store sampled 80 items sold in January and found that 8 of the items were returned.

In other words, sample size : <em>n</em>=1040

Number of items returned : <em>x</em>= 8

Let <em>p</em> be the proportion of items returned for the population of sales transactions at the Houston store.

As per sample , the sample proportion of items returned for the population of sales transactions at the Houston store is :

$\hat{p}=\dfrac{x}{n}=\dfrac{8}{80}=0.1$

As we know that , <em>the sample proportion is the best estimate of the population proportion.</em>

Therefore,a point estimate of the proportion of items returned for the population of sales transactions at the Houston store is 0.1.

8 0

3 years ago

2. Are these two ratios equivalent? 8/5, 24/20

uysha [10]

Answer: No

Step-by-step explanation:

I took a test and this answer was correct.

4 0

3 years ago

Use the given information to write the equation of the parabola.

m_a_m_a [10]

Answer:

x² = -2y

Step-by-step explanation:

The focus is p away from the vertex, and so is the directrix.

To find the equation of the parabola, we must first determine if the parabola is horizontal or vertical.

Horizontal parabola [Standard form]: (y – k)² = 4p(x – h)
Vertical parabola [Standard form]: (x – h)² = 4p(y – k)

If the parabola is vertical, the directrix, and focus will have the same x value but different y value compared to the vertex (h, k). You can also tell if the directrix in in the form y = k – p, and if the focus is in the form (h, k + p).

Likewise, if the parabola is horizontal, the directrix, and focus will have the same y value but different x value compared to the vertex (h,k) . You can also tell if the directrix is in the form x = h – p, and if the focus is in the form (h + p, k).

For this problem, given that the vertex is at the origin (0,0), and that the focus is at the point (0, -½).

You can tell that the x value is the same for the vertex, and focus so this must be a vertical parabola. Because this is a vertical parabola, we can use the form mentioned as earlier (x – h)² = 4p(y – k).

If h = 0, and k = 0, the p value must be the difference between the k of the vertex, and the k of the focus: -½ - 0 → -½.

Now we can just plug in our known information to derive the equation!

h = 0, k = 0, p = -½ → (x - h)² = 4p(y - k) →

(x - 0)² = 4(-½)(y - 0) → x² = -2(y - 0) →

x² = -2y.

Also p = 1/4a, if you are wondering.

So because this is a vertical parabola, x² = -2y is generally the same as y = -1/2x² in standard quadratic form. I just like to think of the horizontal parabola as an inverse quadratic because it is like reflecting over the line y = x.

8 0

3 years ago

Read 2 more answers

What is 10.3÷200.3865

Charra [1.4K]

.0514006682 is the answer

8 0

3 years ago

Read 2 more answers