A pet survey found that the ratio of dogs a cats is 2/5. Which proportion shows the number of dogs if the number of cats is 140?

Answers

Answer 1

Answer: There are 56 dogs

2/5 = x/140

140 x 2 = 5 x x
280 = 5x
56 = x

Answer 2

Answer: Your answer should be 56 :)

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In ΔCDE, the measure of ∠E=90°, ED = 28, CE = 45, and DC = 53. What ratio represents the tangent of ∠C?

The reciprocal of of 1 over 5

Answers

The reciprocal of 1/5 is: 5/1 or just 5.

To get the reciprocal of a fraction, it basically just means to flip the numbers. If you're dealing with a whole number (such as 5 in this case), you would divide 1 by the number, making it 1/5.

A distributor needs to mix some Terraza coffee that normally sells for $9.00 per pound with some Kona coffee that normally sells for $13.50 per pound to create 50 pounds of a mix that can sell for $9.54 per pound. How many pounds of each kind of coffee should they mix?

Answers

Answer:

Step-by-step explanation:

Mixture problems are really easy because the table never varies from one problem to another and they don't have a lot of variations in them like motion problems do. The table for us will look like this, using T for Terraza coffee and K for Kona:

#lbs x $/lb = Total

Mix

Now we just have to fill this table in using the info given. We are told that T coffee is $9 per pound, and that K coffee is $13.50 per pound, so we will fill that in first:

#lbs x $/lb = Total

T 9

K 13.50

Mix

Next we are told that the mix is to be 50 pounds that will sell for $9.54 per pound

#lbs x $/lb = Total

T 9

K 13.50

Mix 50 9.54

Now the last thing we have to have to fill in this table is what goes in the first column in rows 1 and 2. If we need a mix of 50 pounds of both coffees and we don't know how many pounds of each to use, then under T we have x and under K we have 50 - x. Notice along the top we have that the method to use to solve this problem is to multiply the #lbs by the cost per pound, and that is equal to the Total. So we'll do that too:

#lbs x $/lb = Total

T x x 9 = 9x

K 50 - x x 13.50 = 675 - 13.50x

Mix 50 x 9.54 = 477

The last column is the one we focus on. We add the total of T to the total of K and set it equal to the total Mix:

9x + 675 - 13.5x = 477 and

-4.5x = -198 so

x = 44 pounds. This means that the distributor needs to mix 44 pounds of T coffee with 6 pounds of K coffee to get the mix he wants and to sell that mix for $9.54 per pound.

The diagonals of rectangle NOPQ intersect at point R. If OR=3x-4 and NP=5x+20, solve for x.A.
2
B.
3
C.
12
D.
28

Answers

Answer:

D. 28

Step-by-step explanation:

Please find the attachment.

We have been given that the diagonals of rectangle NOPQ intersect at point R. We are asked to find the value of x.

We will use diagonal property of rectangle, which states that diagonals of rectangle are equal and bisect each other.

Using diagonal property of rectangle, we can conclude that the segment NP is 2 times segment OR, so we can set an equation as:

$2* OR=NP$

Upon substituting the given expressions for both segments we will get,

$2(3x-4)=5x+20$

Using distributive property we will get,

$6x-8=5x+20$

Subtracting 5x from both sides we will get,

$6x-5x-8=5x-5x+20$

$x-8=20$

Now, we will add 8 on both sides

$x-8+8=20+8$

$x=28$

Therefore, the value of x is 28 and option D is the correct choice.

D) 28 is the right answer
find the attachments for the details

PLEASE ANSWER ASPA Using the distance formula, what is the distance of C (-4, -2) and D (3, 5)?

Answers

Answer:

Approximately 9.90 units.

Step-by-step explanation:

The distance formula is:

$d=√((x_2-x_1)^2+(y_2-y_1)^2)$

Let (-4,-2) be x1 and y1, and (3,5) be x2 and y2.

Plug in the numbers:

$d=√((3-(-4))^2+(5-(-2))^2)$

$d=√(7^2+7^2)$

$d=√(2(7)^2)$

$d=7√(2)$

An online media service offers video and music downloads. Each download of a song costs $1. Each download of a video costs 5 times as much as the song download. You have a credit of $70. How many songs can you purchase after buying 12 videos?

Answers

Answer:

6.3

Step-by-step explanation:

You want to add 1, 5, and 70 up. Then you would get 76. Next you want to divide 76 into 12. And there you go, 6.3 is the answer

(I hoped this helped. This was a bit confusing to me and difficult but i wanna try to be useful for once lol..)

Answer:

5.83

Step-by-step explanation:

70 / 12

Marya wants to factor the polynomial 36x3 – 22x2 – 144x. Which term can she add to the polynomial that would not change its greatest common factor? Check all that apply.–11
–50xy
–40x2
24
10y

Answers

Answer:

–50xy

–40x2

Will not change the Greatest Common Factor.

Step-by-step explanation:

Greatest common factor is the highest factor that divides 2 or more number.

We can find the GCF by multiplying all the factors that are common to each number.

Factors of $36x^(3)$ =1,2,3,4,6,9,12,18, 36 and $x$ , $x^(2)$ ,, $x^(3)$

Factors of $22x^(2)$ =1,2,11, $x$ and $x^(2)$

Factors of $144x$ =1,2,3,4,6,8,9,12,16,18,24,36 and $x$ and more.

So the common factors to all three numbers are 1,2 and x.

So GCF = $1*2*x=2x$

If we use 11 it will change the GCF to 11.

If we use $50xy$ it will not change the GCF.

If we use 40 $40x^(2)$ it will not change the GCF.

IF we use 24 it will change the GCF.

If we use 10y it will change the GCF.

Given:

36x³ - 22x² - 144x

GCF:
36 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 3 = 3

22 ÷ 2 = 11

144 ÷ 2 = 72
72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 3 = 3

2 is the GCF of all terms. We can add 24. It would not change the GCF of the polynomial.

36x³ - 22x² - 144x + 24

2(18x³ - 11x² - 72x + 12)

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