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saw5 [17]
3 years ago
10

Which two ratios form a proportion?

Mathematics
2 answers:
Nuetrik [128]3 years ago
8 0

Answer:

D

Step-by-step explanation:

You basically have to divide each of the fractions. And when you do, the answer is D because 15 divided 5 =3 and 12 divided by 4 = 3. Both ratios are a proportion because they are equal.

algol133 years ago
7 0

Answer:

D. 15/12 and 5/4​

Step-by-step explanation:

15/5=3

12/4=3

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HELP
evablogger [386]

Answer:

$324,870.00

Step-by-step explanation:

357,000.00 x .09 = $32,130.00

357,000.00  - $$32,130.00 = $324,870.00

7 0
3 years ago
Please show me how to solve the initial value problem <br> y'=tanx y(pi/4)=3
AlexFokin [52]
The ODE is separable, i.e. you can write

\dfrac{\mathrm dy}{\mathrm dx}=\tan x\iff\mathrm dy=\tan x\,\mathrm dx

Integrating both sides gives the general solution.

\displaystyle\int\mathrm dy=\int\tan x\,\mathrm dx
y=-\ln|\cos x|+C

Given that y\left(\dfrac\pi4\right)=3, we have

3=-\ln\left|\cos\dfrac\pi4\right|+C
3=-\ln\dfrac1{\sqrt2}+C
3-\ln\sqrt2=C


and so the particular solution to the IVP is

y=-\ln|\cos x|+3-\ln\sqrt2
y=3-\ln|\sqrt2\cos x|
4 0
3 years ago
6. Find how long it takes $600 to double if it is invested at 12%
ioda

Answer:

A = $697.09

Step-by-step explanation:

A = P (1 + r/n)

A = 600 (1 + 0.05/365)

A = $697.09

5 0
3 years ago
ANSWER THIS PLEASE ASAP
Talja [164]

Answer: a.) 72 of each type of animal, for a total of 216

b.) 16 grown cats, 4 kittens

Step-by-step explanation:

part a. It's a distribution (division) problem. The same number of each animal is distributed over some unknown number of troughs, but the total number of troughs adds up to 69. ( I hate to give this all away, as its a brilliant problem! )

Number of troughs for each animal type is How many needed by the number of animals per trough:

h/2 + c/3 + p/8 = 69  

Since we are given "the same number of horses, cows and pigs" we can substitute "x" for all.

\frac{x}{2} + \frac{x}{3} +\frac{x}{8} = 69    Get a common denominator. 24 would work, 48 also.

48(\frac{x}{2} +\frac{x}{3} +\frac{x}{8} ) = 48(69)

24x + 16x + 6x = 3372

46x = 3372    x = 72

Proof:  calculate the number of each kind of trough

Horses 72/2 = 36, Cows 72/3 = 24  Pigs 72/8 = 9    36+24+9 = 69

part b.  5c + 3k = 92,   c + k = 20  Rearrange to get a value for c to substitute.

c = 20-k   5(20-k) +3k =92  Distribute and solve

100 - 5k + 3k = 92 becomes -2k = -8  so  k = 4 Substitute into the original

c + 4 = 20  becomes c=20-4,  so c = 16

Proof: 5c +3k = 92 Substitute values 5(16) + 3(4) = 92  80 + 12 = 92

6 0
3 years ago
The proof shows that ABCD is a rectangle. Which of the following is the missing reason?
patriot [66]

Answer:

Side-side-side postulate

Step-by-step explanation:

In the first statement, we are given that AC = BD ....... (1){It is given}

Now, in the second statement, we are given that AB = DC ...... (2){ Because the parallelogram has equal opposite sides}

Now, again we are given that AD = DA ........... (3) {From the symmetric property}

Now, conditions (1), (2), and (3) are applicable to say that Δ ABD and Δ ACD are congruent.

Since there are three sides involved to say Δ ABD ≅ Δ ACD, so it is by Side-side-side postulate. (Answer)

4 0
3 years ago
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