An animal shelter has a ratio of cats to dogs that is 9 to 7. If the shelter has 18 cats, how many dogs would it have?

Answers

Answer 1

Answer: 14 dogs

Step-by-step explanation:

Given

The ratio of cats to dogs is 9:7

The shelter has 18 cats

Suppose shelter has x dogs

[tex]\Rightarrow \dfrac{9}{7}=\dfrac{18}{x}\\\\\Rightarrow x=\dfrac{18\times 7}{9}=14\ \text{dogs}[/tex]


Related Questions

What is the y intercept 8th math

Answers

Answer:

(0,1)

Step-by-step explanation:

the y intercept is when x = 0

Answer:

(0.3) , That's It love hope this works

Chromebook - $249
Calculate a 25% discount using a proportion or an equation.
Proportion
Equation

Answers

Answer:

Discount- $62.25

Price after discount-$186.75

Step-by-step explanation:

25% of 249 is 62.25.

Therefore, 249-62.25=186.75

HELP!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1

Step-by-step explanation:

(10+x)/3 =(4+x)/1

⇒(10+x)×1=(4+x)×3

10+x=12+3x

⇒-2x-2<0

⇒2x>-2

⇒x>-

2

2

⇒x>-1

this is hard to understand but basically the answer should be 1

If 6^4x = 82, what is the value of x?
Round your answer to three places.

Answers

Answer:

[tex]x=0.61485921[/tex]

Step-by-step explanation:

The given equation is in exponential form:

[tex]6^{4x} =82[/tex]

To find [tex]x[/tex] we need to write it in logarithmic form:

[tex]b^{a} =n[/tex] ⇒ [tex]log_{b} n=a[/tex]

[tex]6^{4x} =82[/tex] ⇒ [tex]log_{ 6 } 82=4x[/tex]

           [tex]2.45943684 = 4x[/tex]

              [tex]\frac{2.45943684}{4} = x[/tex]

           [tex]0.61485921 =x[/tex]

To prove this, we can substitute the value into the given equation

             [tex]6^{4x} =82[/tex]

[tex]6^{4(0.61485921)} =82[/tex]

               [tex]82=82[/tex]

Therefore, the answer is [tex]x=0.61485921[/tex]

What is 14 rounded to the nearest ten

Answers

Answer:

10

Step-by-step explanation:

anything below 5 is to the nearest tenth below

Answer:

10

Step-by-step explanation:

A triangle has sides of lengths 9,7, and 12. Is it a right triangle? Explain.
no: 92 + 7 + 122
O yes: 92 + 72 122
O no: 92 + 7 = 122
yes: 92 + 7 = 122

Answers

Answer: No, it is not a right triangle.

Explanation:
9^2 + 7^2 (?) 12^2

81 + 49 (?) 144

130 = 144

Since 12^2 = 144, and the square root of 130 is 11.4^2, it is not a right triangle.

write any two quadratic equations​.

Answers

To find:

Any two quadratic equations​.

Solution:

The general form of a quadratic equation is:

[tex]ax^2+bx+c=0[/tex]

Where, a,b and c are real number and a is non zero.

We know that a,b,c can take any values but a cannot be 0.

For a=1, b=1,c=1, we get

[tex]1x^2+1x+1=0[/tex]

[tex]x^2+x+1=0[/tex]

One quadratic equation is [tex]x^2+x+1=0[/tex].

For a=3,b=-1,c=5, we get

[tex]3x^2+(-1)x+5=0[/tex]

[tex]3x^2-x+5=0[/tex]

Therefore, the two quadratic equations are [tex]x^2+x+1=0[/tex] and [tex]3x^2-x+5=0[/tex].

Which term has the definition "A data point that is very large or very small in comparison
to the rest of the data set"?
A.Maximum
B. Outlier
C. Variability
D. Minimum

Answers

Answer:

B. Outliers

Step-by-step explanation:

B. Outliers are those that are separated from the rest.

on Tuesday afternoon at Camp Bruce Did archery and sailling before dinner he spent 55 minutes at archery and 1 hour and 35 minutes sailing,sailing ended at 2:35 p.m. when it was time for dinner.What time did archery Start​

Answers

Answer:

12:30

Step-by-step explanation:

82% of what number is 492?

Answers

answer

600

Step-by-step explanation:

Step 1: If 82% of a number is 492, then what is 100% of that number? Setup the equation.

492/82%=Y/100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get

82Y = 492 x 100

82Y = 49200

Y=49200100=600

Question 2
Indicate the answer choice that best completes the statement or answers the question
Use the figure below. In the figure, line mis parallel to line n. List all pairs for the type of angle.
h
Question 2
Question 3
Question 4
Question 5
Question 6
Question 7
Question 8
Question 9
Question 10
Question 11
Question 12
m1
4
3
6
5
9 10
Bv alternate interior
Oa 21 and 210
b. 21 and 25
O c. 23 and 25
Od Z1 and 23
Me

Answers

Answer:

option c: angle 3 and angle 5

Step-by-step explanation:

2) Solve the system of equations using substitution.
2x – 9y = 14
x= -6y +7

Answers

2(-6y)-9y = 14
-12y - 9y = 14
-21y = 14
y = -2/3

Answer:

(7,0) ---> (x = 7) and (y = 0)

Step-by-step explanation:

2x – 9y = 14

x= -6y +7     <-- (Substitute for x to above equation)

---------------------------------------------------------------------------------------------------------

2(-6y +7)– 9y = 14

-12y + 14 - 9y = 14    <-- combine like terms

-21y + 14 = 14  

        -14 = -14   <-- inverse operation on both sides

      -21y = 0     <-- Divide

          y = 0  <--- Substitute for y to get x  ↓

-------------------------------------------------------------------------------------------------------

2x – 9y = 14

2x – 9(0) = 14     <-- Substituted y from above

          2x = 14     <-- Divide

            x = 7

Pizza Party Planning
2 classes of 30 students each were joining together for a pizza party.
The party organizer planned to order enough pizza's for everyone to have at least 3 slices of pizza each.
If each pizza had 10 slices of pizza in it, how many whole PIZZA's did the planner have to order so each student could
have 3 slices of pizza?
Remember you must provide an answer TODAY to get the bonus points.
Put on your thinking caps and give it a thoughtful try, prove how you arrived at your answer to solve the problem.

Answers

Answer:

6 pizzas

Step-by-step explanation:

There are 60 kids and 10 slices per pizza so 60/10 = 6. So, 6 pizzas would have to be ordered.

the side of a square is 8√2 what will be its diagonal


Answer ASAP​

Answers

Answer:

16

Step-by-step explanation:

You can use the pythagorean theorem:

[tex]a^{2}+b^{2}=c^{2}[/tex], here seeing as we know already know two sides here as all sides are congruent with squares and there has to be right angles for it to be a square we can do so by cutting the square in half for the diagonal and to get a right triangle.  

And from there we just use it:

[tex]8\sqrt{2}^{2} + 8\sqrt{2}^{2} = c^{2}[/tex]

[tex]\sqrt{128}^{2} + \sqrt{128}^{2} = c^{2}[/tex]

[tex]128 + 128 = c^2[/tex]

[tex]256 = c^2[/tex]

[tex]\sqrt{c}^2 = \sqrt{256}[/tex]

[tex]c = 16[/tex]

Meaning that the diagonal is 16.  

Factor out the GCF:
16n^2 + 10n

Answers

Answer:

2n(8n + 5)

Step-by-step explanation:

you need to see what you can take out of both the numbers.

ex they both have an 'n' and they both are divisible by 2

16n^2+10n
16n^2=2•8•n•n
2•n•8•n
10n=2•5•n
2•n•5
2n(8n+5) is the answer

2/3 feet into inches

Answers

Answer:

12÷3=4

4inches is 2/3 of a foot.

I NEED HELP ASAP!!!! PLZ!!!!

Answers

Answer:

10.1

Step-by-step explanation:

Step-by-step explanation:

it goes by this formula

[tex]a = \frac{1}{2} bh \\ \\ \\ a = \frac{1}{2} 6 \times 4.1 = 12.3[/tex]

Write an equation in point-slope form of the line that passes through (-1,-4) with slope -2.

Answers

Answer:

y+4=-2(x+1)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=-2(x-(-1))

y+4=-2(x+1)

Does anyone know how to solve this?

Answers

9514 1404 393

Answer:

Step-by-step explanation:

The tangent of the angle can be found using the identity for the tangent of the difference of angles.

  tan(α-β) = (tan(α) -tan(β))/(1 +tan(α)tan(β))

The tangent of the angle of each vector is the ratio of the j coefficient to the i coefficient.

  tan(α) = -2/3

  tan(β) = 4/7

  tan(α-β) = (-2/3 -4/7)/(1 +(-2/3)(4/7))

  = (-14-12)/(21 -8) = -26/13 = -2

Then the magnitude of the angle between the vectors is ...

  arctan(2) ≈ 63.43°

HELP!! Please scale a rectangular prism that is 300 inches, by 50 inches, by 30 inches to have a volume in the 60-70 cubic inch range.

Answers

Answer:

Scale factor 1/19, volume 65.6 in³

Step-by-step explanation:

Volume of the prism:

V = abh V = 300*50*30 = 450000 in³

Scaled volume is 60 - 70 in³

Find the scale factor k;

450000/60 = 7500450000/70 = 64281/6428 < 1/k³ < 1/75001/∛6428 < 1/∛k³ < 1/∛75001/18.59 < 1/k < 1/19.571/k = 19 is best

So the scale factor is

k = 1/19

and the volume of the smaller prism is:

450000 / 19³ = 65.6 in³

Answer:

Scale factor 1/19, volume 65.6 in³

Step-by-step explanation:

Volume of the prism:

V = abh

V = 300*50*30 = 450000 in³

Scaled volume is 60 - 70 in³

Find the scale factor k;

450000/60 = 7500

450000/70 = 6428

1/6428 < 1/k³ < 1/7500

1/∛6428 < 1/∛k³ < 1/∛7500

1/18.59 < 1/k < 1/19.57

1/k = 19 is best

So the scale factor is

k = 1/19

and the volume of the smaller prism is:

450000 / 19³ = 65.6 in³

Which one doesn't belong?
1. 5+7=7 +5
2. 5.7=7.5
3. 2= 7 - 5
4. 5-7= 7-5

Answers

The one that doesnt belong is the 3 one

Answer:

Number 4..

.....,........,

helpppppo pls!!! due soon

Answers

Answer:

AB = 7.81

m<A = 50.19

m<B = 39.8

m<C = 90

Step-by-step explanation:

A bag contains 6 Purple sticks, 5 Orange sticks, 4 black sticks and you ask a friend to pick a stick at random. What is the probability that the stick will be purple?

And thx

Answers

Answer:

9 (partly to do with the amount of sticks)

Hope this helps :)

Answer:

[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

probability (P) is calculated as

P = [tex]\frac{favourableoutcome}{numberofpossibleoutcomes}[/tex]

Here favourable outcome is a purple brick

number of possible outcomes = 6 + 5 + 4 = 15

P(purple brick ) = [tex]\frac{6}{15}[/tex] = [tex]\frac{2}{5}[/tex]

Tan^2/1-tan+cot/1-tan=cot+tan+1 prove that​

Answers

It looks like you have

tan²(x) / (1 - tan(x)) + cot(x) / (1 - tan(x)) = cot(x) + tan(x) + 1

but this is not an identity.

Take for instance x = 3π/4. Then

tan(3π/4) = -1

cot(3π/4) = -1

so that

tan²(x) / (1 - tan(x)) + cot(x) / (1 - tan(x)) = 0

while

cot(x) + tan(x) + 1 = -1

and of course 0 ≠ -1.

40 to a ratio of 2:3

Answers

Answer: 16:24

Step-by-step explanation:

add the ratio so 2+3=5

Divide from 40 so 40/5=8

multiply by individual ratios

2*8:3*8= 16:24

What is the greatest common factor of the terms of 3y2−21y+36
?

Answers

Answer:3(−4)(−3) This the answr can u solve my question maybe?

here's another math question for y'all​

Answers

Answer:65

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

Hey There!

So where the given angles are is in a triangle called an isosceles triangle

In isosceles triangles to of the angles are congruent

The congruent angles are near the letters Q and R

we are given that angle 1 =50

so to find the missing angles we subtract 180 from 50 and divide by 2

180-50=130

130/2=65

so angle 2 = 65

Please help as soon as possible

Answers

Answer:

The answer is 17.5

Hope this helps

I’m pretty sure the answer is 17.5

(Hope this helps!!!)

Can I pls have a brainliest?

Properties of Midsegments. Please help ASAP and explain! TYSM!

Answers

Answer:

It is always parallel to the third side, and the length of the midsegment is half the length of the third side.

Step-by-step explanation:

I need help its systems of equations 25 points

Answers

Kevin=k
Daniel=d
k=4d
k=d+6
4d=d+6
4d-d=6
3d=6
d=2

k=d+6
k=2+6
k=8

Daniel is 2
Kevin is 8

Answer:

Step-by-step explanation:

Let Daniel's age be X:

X×4. = 4x

X×4. =. 6

4X. =. 6

Divide both sides by 4:

4X÷4. =. 6÷4

X. =. 1.5

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