.At a certain animal shelter, the ratio of puppies to adult dogs is 7 to 4. This week there are a total of55 dogs in the shelter. How many puppies are in the shelter this week? How many adult dogs are in the shelter this week

Answers

Answer 1

Answer:

There are 35 adult dogs and 20 puppies

Step-by-step explanation:

Represent the puppies with P and the Adult dogs with A

Given

[tex]A : P = 7 : 4[/tex]

Dogs = 55

Required

Determine A and P

First, we need to sum the ratios;

[tex]Total = A + P[/tex]

[tex]Total = 7 + 4[/tex]

[tex]Total = 11[/tex]

Adult Dogs is then calculated as follows;

[tex]A = \frac{A\ Ratio}{Total} * Dogs[/tex]

[tex]A = \frac{7}{11} * 55[/tex]

[tex]A = \frac{385}{11}[/tex]

[tex]A = 35[/tex]

Puppies is calculated by subtracting the number of adult dogs from the total

[tex]P = Dogs - Adult\ Dogs[/tex]

[tex]P = 55 - 35[/tex]

[tex]P = 20[/tex]

Hence;

There are 35 adult dogs and 20 puppies


Related Questions

ILL GIVE YOU BRAINLIST !!! Evaluate

4x – 2m

Answers

Answer:

m = 2x

Step-by-step explanation:

Simplifying

4x + -2m = 0

Reorder the terms:

-2m + 4x = 0

Solving

-2m + 4x = 0

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-4x' to each side of the equation.

-2m + 4x + -4x = 0 + -4x

Combine like terms: 4x + -4x = 0

-2m + 0 = 0 + -4x

-2m = 0 + -4x

Remove the zero:

-2m = -4x

Divide each side by '-2'.

m = 2x

Simplifying

m = 2x

Answer:

Step-by-step explanation:

4x - 2m  = 4*8 - 2*3 = 32 - 6 = 26

If it is an addition problem with different signs what do you do

Answers

Answer:

To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest. Subtract an integer by adding its opposite.

plz give brainlist

hope this helped

An angle measuring 32 degrees has a complement that measures (2x - 16)degrees. What is the value of x? (and the steps)

Answers

Answer:

37°

Step-by-step explanation:

32+2x-16=90

2x+16=90

2x=90-16

2x=74

x=37

Simplify (23)^–2 genuinely confused

Answers

Answer:

1/529

Step-by-step explanation:

[tex]23^{-2}\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}\\23^{-2}=\frac{1}{23^2}\\\\23^2=529\\\\=\frac{1}{529}[/tex]

Answer:

1/529

Step-by-step explanation:

just done it on edge

Sonia wants to sew ribbon along each side of a square pillow if the pillow has an area of 144 in² how much ribbon must she by to have the exact amount that she needs

Answers

Answer:

12 in

Step-by-step explanation:

she has square pillow, so 12*12=144 sq in

A triangular pyramid is sliced by a plane perpendicular to its base. Draw the cross section

Answers

Step-by-step explanation:

Kindly find attached the rough sketch of the triangular pyramid and the rough sketch of it cross section.

Basically a triangular pyramid has a triangular base. when a fictitious line is made to pass through perpendicularly to the base, the cross section that will result will still have a triangular orientation but this time a smaller one compared to the original triangular orientation or sides of the pyramid  

The scale of a map is 1 in = 11.9 miles. How many inches will be drawn on the map to represent 30.9 miles?​

Answers

Answer:

  2.60 inches

Step-by-step explanation:

Map and actual distances are proportional. So the map distance m for 30.9 miles will be related to the actual distance in the same way the scale is:

  m/30.9 = 1/11.9

  m = 30.9/11.9 ≈ 2.5967

The length on the map is about 2.60 inches.

Write an equation in slope intercept form that is parallel to y = 3x + 4 and goes through the point (-1,5)

Answers

Answer:

Step-by-step explanation:

y - 5 = 3(x + 1)

y - 5 = 3x + 3

y = 3x + 8

answer is C

What is the volume of the figure?

Answers

It’s going to be the area of the triangle on the side times the length, so 0.5 x 36 x 15 x 48 = 12960

For the function f(x)=-1/3x-2, find the value of x for which f(x)=x.

Answers

Step-by-step explanation:

f(x)=-1/3x-2=x

3x²-2x-1=o

(3x-1)(x+1)=o

x=1/3(or)x=-1

translate & solve: 616% of what number is 4620

Answers

Answer:

250

Step-by-step explanation:

1540*100 divided by 616

What is p multiplied by 3

Answers

Answer:

p multiplied by 3 is 3p I'm not great at explaining but that's the answer

Answer:

3p

Step-by-step explanation:

Give EG = 5x+7 EF =5x and FG=2x-7

Answers

Answer:

x = 7

42, 35, 7

Step-by-step explanation:

EG = 5x+7 EF = 5x  FG = 2x-7

Point F is on line segment of EG, therefore EG = EF + FG

5x + 7 = 5x + 2x - 72x = 14x = 7

Then

EG = 5*7 + 7 = 42EF = 5*7 = 35FG = 2*7 - 7 = 7

The temperature in a town is 28.1 during the day and -6.5 °F at night Find the difference in the temperatures

Answers

Answer:

28.1 - (-6.5) = 34.6

Step-by-step explanation:

Subtracting a negative is the same as adding a positive. So, 28.1 minus negative 6.5 is same as 28.1 plus 6.5 and you get 34.6

Answer:

yeah it is 34.6

Step-by-step explanation:

Write with a single exponent 1/10*1/10*1/10


Please help

Answers

Answer:

[tex] {10}^{3} [/tex]

SoIve: -20 = -4x - 6x


x = 3.5
x = 2
x = 10
x = 4

Answers

Answer:

2

Step-by-step explanation:

-4x - 6x = -10x

Divide both sides by -10

what is 3.825 as a fraction with a guide?

Answers

Answer:

3 33/40 or 153/40

Step-by-step explanation:

For first answer change the decimal .825 into fraction by making it over 1000. Then Simplify. For the second answer, take the first answer, multiply 3 with 40 and add 33. In the end both answers are equivanlent.

6 cousins inherited a total of 58 of their great aunt's assets which they divided evenly what fraction of their great aunt's assets to each cousin inherit

Answers

Answer:

9 1/9 per cousin

Step-by-step explanation:

if the aunt has 58 items to be distributed to 6 cousins, we would set a fraction of 58/6. performing that is 9 with 4/6 left over.

since there is 6 cousins, there will be 2/3 divided by 6 = 2/18, or 1/9

Answer:

the answer on eduguinty is 5/48 of the inherrit .

Step-by-step explanation:

:)

Write the equation of a line that is parallel to y = 1/2 x + 5
that passes through the point (2,6).

Answers

Answer:

y = 1/2x + 5

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

When 2 lines are parallel, they have the same slope.

Step 1: Define variables

Random point (2, 6)

m = 1/2

y = 1/2x + b

Step 2: Find b

6 = 1/2(2) + b

6 = 1 + b

5 = b

Step 3: Rewrite parallel linear equation

y = 1/2x + 5

!!!URGENT!!! Read Image Below.

Answers

Answer:

[tex] x = \frac{6 \pm \sqrt{(-6)^2 - 4(3)(8)}}{2(3)} [/tex]

Step-by-step explanation:

Given the equation, [tex] 3x^2 - 6x + 8 = 0 [/tex], the quadratic formula for solving this equation is given as:

[tex] x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

Where,

a = 3

b = -6

c = 8

Plug in the above values into the quadratic formula.

[tex] x = \frac{-(-6) \pm \sqrt{(-6)^2 - 4(3)(8)}}{2(3)} [/tex]

[tex] x = \frac{6 \pm \sqrt{(-6)^2 - 4(3)(8)}}{2(3)} [/tex]

I need help on graphic pls. Thank you

Answers

Answer:

k = 7/3

Step-by-step explanation:

Let's first find the equation of line AC. Since point A has an x-coordinate of 0, we know that point A is the y-intercept so when writing the equation of AC in slope-intercept form, we know that b = -2 in y = mx + b (Note that m = slope and b = y-intercept). To find m, we can use points A and C, therefore, m = (0 - (-2)) / (-2 - 0) = 2 / -2 = -1. Now, we know that the equation of line AC is y = -x - 2. To solve for k, we know that point B belongs to AC and that x = -k, y = 5 - 2k in point B, therefore, after plugging those values into y = -x - 2, we get:

5 - 2k = -(-k) - 2

5 - 2k = k - 2

5 - 3k = -2

-3k = -7

k = 7/3

Point Tis on line segment SU. Given TU = 4x + 1, SU = 8, and ST = 3x,

determine the numerical length of TU.

Answers

Answer:

5 units

Step-by-step explanation:

If point T is on the line segment SU, then ST + TU = SU.

Given

TU = 4x + 1

SU = 8

ST =  3x

To get TU, we need to get the value of x first. To get x, we will substitute the given parameters into the formula;

3x+4x+1 = 8

7x+1 = 8

subtract 1 from both sides

7x+1-1 = 8-1

7x = 7

divide both sides by 7

7x/7 = 7/7

x = 1

Substitute x = 1 into the length TU

Since TU = 4x+1

TU = 4(1)+1

TU = 5

Hence the numerical length of TU is 5 units

I’m stuck please help?

Answers

Answer:

1,3,5,7,9...

Step-by-step explanation:

All of the answers go up by +2

write the number 3/100 as a decimal.

Answers

Answer:

Step-by-step explanation

0.03.

Which problem can be solved by division of decimals? How much money does Jon need to buy 10.3 gallons of gas that costs $3.79 a gallon? What grade does Maria need on her next test to achieve a total of at least 400 points if she had 4 previous tests that had grades of 75.3, 92.1, 78.6, and 81.0? Helena saved $45.00 toward a dress that costs $78.00. How much more does she need to save? Mica spent $45.50 on 7 indoor baseball sets. How much does it cost for one set?

Answers

Answer:

The answer is the question "Mica spent $45.50 on 7 indoor baseball sets. How much does it cost for one set?"

45.50 ÷ 7 = ?

As per linear equation, 4th problem can be solved by division of decimals.

What is a linear equation?

"A linear equation is an equation in which the highest power of the variable is always 1."

The given questions are:

1. How much money does Jon need to buy 10.3 gallons of gas that costs $3.79 a gallon?

This problem can be solved by multiplication of decimals.

2. What grade does Maria need on her next test to achieve a total of at least 400 points if she had 4 previous tests that had grades of 75.3, 92.1, 78.6, and 81.0?

This problem can not be solved by division of decimals. It requires addition and subtraction.

3. Helena saved $45.00 toward a dress that costs $78.00. How much more does she need to save?

This problem can not be solved by division of decimals. It requires subtraction.

4. Mica spent $45.50 on 7 indoor baseball sets. How much does it cost for one set?

This problem can be solved by division of decimals.

Learn more about linear equation here: https://brainly.com/question/17204085

#SPJ3

Sin(x)=x- x3/3!+x5/5!-x7/7!+....The percentage relative approximate error in using three terms to find sin(4.1) is ______percent.

Answers

Answer:

The answer is "239.62%".

Step-by-step explanation:

Given value:

[tex]\bold{\sin(x)=x- \frac{x^3}{3!}+\frac{x^5}{5!} - \frac{x^7}{7!}+....}[/tex]

Solve the first three values:

[tex]\sin(x)=x- \frac{x^3}{3!}+\frac{x^5}{5!}[/tex]

put the value of sin(4.1):

[tex]\to \sin(4.1)=(4.1)- \frac{(4.1)^3}{3!}+\frac{(4.1)^5}{5!} \\\\[/tex]

                 [tex]=(4.1)- \frac{(4.1)^3}{3!}+\frac{(4.1)^5}{5!} \\\\=(4.1)- \frac{68.92}{3 \times 2\times 1}+\frac{1158.56}{5\times 4 \times 3 \times 2 \times 1}\\\\[/tex]

                 [tex]=(4.1)- 11.48+9.65\\\\= 2.27[/tex]

The actual value of [tex]\sin(4.1) = -1.59[/tex]

Calculating the percentage relative approximate error value:

Formula:

[tex]=\frac{actual \ value - \ approx \ value }{actual \ value} \times 100\\\\[/tex]

[tex]=\frac{-1.59 - 2.27 }{-1.59} \times 100\\\\= \frac{-3.81}{-1.59} \times 100\\\\= \frac{3.81}{1.59} \times 100\\\\=239.62 \ \%[/tex]

Multiply the polynomial expressions below.
(7x + 5)(2x^3 - 4x^2 + 9x - 3)

Answers

Answer:

14x^8-18x^3+43x^2+24x-15

If you parents made $4.00 an hour in 1980 and you make $12.00 an hour as a fryer technologist at Zippy burger today ,then you make three times as much as they did . yes ?NO?explain

Answers

If it is a strictly math question, then yes you theoretically make three times as much as your parents. Realistically, inflation and scarcity plays a large role in the actual monetary value of the dollar making it an unfair comparison. Depends on the framework of the question. Hope this helps!

A teacher raised a total of $135 for school supplies. He divides the money evenly among his 10 students.

Answers

Answer:

Each gets $13.5

Step-by-step explanation:

135/10= 13.5  

Use the given data to find the minimum sample size required to estimate the population proportion. Margin of error: 0.028; confidence level: 99%; p and q unknownA) 1116B) 2115C) 1939D) 2223

Answers

I think the answer is c or d but I’m not sure tho
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