Miss Sullivan owns a farm where she has a total of 28 birds and dogs the total number of legs on those animals is 70 how many dogs and how many birds are on the farm

Answers

Answer 1

Answer:

21 birds and 7 dogs

Step-by-step explanation:

Represent Birds with B and Dogs with D

[tex]B + D = 28[/tex] ----- Total Animals

A bird has 2 legs and a dog has 4, so:

[tex]2B + 4D = 70[/tex] ---- Legs

Required

Solve for D and B

Make D the subject in the first equation

[tex]D = 28 - B[/tex]

Substitute 28 - B for D in the second

[tex]2B + 4(28 - B) = 70[/tex]

[tex]2B + 112 - 4B = 70[/tex]

Collect Like Terms

[tex]2B - 4B = 70 - 112[/tex]

[tex]-2B = -42[/tex]

Solve for B

[tex]B = -42/-2[/tex]

[tex]B = 21[/tex]

Recall that: [tex]D = 28 - B[/tex]

[tex]D = 28 - 21[/tex]

[tex]D = 7[/tex]

Hence, there are 21 birds and 7 dogs


Related Questions

One root of is x = 2. What are all the roots of the function? Use the Remainder Theorem. x = 2, x = 3, or x = 4 x = –2, x = –3, or x = –4 x = 1, x = 2, x = 3, or x = 13 x = –1, x = –2, x = –3, or x = –13

Answers

Answer:

A. x = 2, x = 3, or x = 4

I got 100%

Answer:

A

Step-by-step explanation:

Because the guy above me is correct

3(5 - 2n) + 9n simplified is?

Answers

Answer:

5n-2n²

---------- <--- line

3

Mai paid $16 for 4 pumpkin pie slices. How many pumpkin pie slices is that per dollar?​

Answers

$4 for one slice. divide amount paid by amount received to get the cost per item.

helppp

The value -2 is a lower bound for the zeros of the function shown below.
f(x) = 4x^3– 12x^2-x+15

A. True
B. False

Answers

I think is a True :)

Simplify the expression:
X^2 (2x + 3)

Answers

Answer:

2x^3+3x^2

Step-by-step explanation:

x^2(2x+3)=(x^2)(2x+3)=(x^2)(2x)+(x^2)(3)=2x^3+3x^2

Answer:

2x³ + 3x²

Step-by-step explanation:

Study circle C, where diameter AB is perpendicular to chord MN at point O.
The diagram as described in the text.


If MO = 5x − 7 and NO = 18, what is the value of x?
Enter the correct value.

Answers

Answer:

5

Step-by-step explanation:

Since a line splitting a chord that goes through the circle and is perpindicular to that chord is always the midpoint.

5x-7 = 18

5x  = 25

x = 5

The answer to question and to the value of x is 5

Kain graphs the hyperbola (y+2)^2/64 − (x+5)^2/36 = 1 . How does he proceed? Drag a value, phrase, equation, or coordinates in the boxes to correctly complete the statements.

Answers

I just took the test

1st Box. (-5,-2)

2nd Box. up and down

3rd Box. 8

4th Box. (-5, 6), (-5,-10)

5th Box. 4/3

6th Box. y+2=+/-4/3(x+5)

Answer:

1st Box. (-5,-2)

2nd Box. up and down

3rd Box. 8

4th Box. (-5, 6), (-5,-10)

5th Box. 4/3

6th Box. y+2=+/-4/3(x+5)

are the correct choices. Here are screenshots for your convenience.

Step-by-step explanation:

Elijah's puppy weighs 35 ounces if he weighed 19 ounces at the last visit to the veterinarian's office what is the percent increase in the puppy's weight rounded to the nearest whole number

Answers

Answer:54.29%

Step-by-step explanation:

If you subtract a negative number to another negative number do you get a positive answer or negative?

Answers

Answer:

Negative

Step-by-step explanation:

Because Depending on which number is the biggest it's negative and the rules say the same signs add different subtract and keep the sign of the bigger number so

positive minus a negative= positive (6-3=3)

negative-positive= negative (-10+5= -5)

Example: What is 6 − (−3)? Yes indeed! Subtracting a negative is the same as adding!

What is -5 5/8 + 3 1/2

Answers

Answer:

-2.125

Step-by-step explanation:

PLEASE ANSWER THIS ASAP !!!!!!

Answers

Answer:

Step-by-step explanation:

b

What is the constant of proportionality in the equation y = 0.41x?

Answers

Answer:

0.41

Step-by-step explanation:

because its 0.41 it cant be reduced or messed with so your answer is 0.41

Gregory sees an $80.00 jacket on sale at 30% off. How much will it cost after a 7% sales tax is applied?

Answers

IT'S B

HOPE THIS HELPED MARK ME BRAINLIST PLS HAVE A NICE DAY

help please i need it



dhhdkhdkjhdkdhkshdksj

Answers

Answer:

26 percent sodium

also can i have brainliest please

Which expression is equivalent to 16a+24b?

Answers

Answer:

the anwer is 8

Step-by-step explanation:

ur welcome

Put these in order starting from the smallest
5^2 2^4 3^3 1^8

Answers

Answer:

1^8, 2^4, 5^2, 3^3 is the answer.

The numbers ordered from the smallest to the largest is [tex]1^{8} , 2^{4} , 5^{2} , 3^{3}[/tex].

What is the order of the numbers?

In order to determine the order of the numbers, we have to solve for the numbers. The power of a number can be solved by multiplying a number by its number of power.

[tex]5^{2}[/tex] = 5 x 5 = 25

[tex]1^{8}[/tex] = 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 = 1

3³ = 3 x 3 x 3 = 27

[tex]2^{4}[/tex] = 2 x 2 x 2 x 2 = 16

To learn more about perfect squares, please check: https://brainly.com/question/22947195

What should be subtracted from the following expressions to make perfect square ?
: Question number 1 =
z⁴+z⁴

Answers

Answer:

i dont know the answer i just live and only socialize thru brainly and im 67 years old

Step-by-step explanation:

i dont know i dont have a phone i only have a 1972 computer

1. A line with a slope of 2 passes through (3,-2). Write the equation in Point-Slope Form.

2. A line with a slope of 2 passes through (3,-2). Write the equation in Slope-Intercept Form.

Answers

1. y+2=2(x-3)
2. Y=2x-8

Explanation:

Point-Slope Form: y-y1 = m(x-x1)
(x1,y1) => (3,-2)

Y-(-2)=2(x-(3)) —> y+2=2(x-3)

Slope-Intercept Form: y=mx+b
(3,-2). M=2 (slope)

-2=2(3)+b Y=2x-8
-2=6+b
-6
—————
-8=b

please help, the brainiest will go to the one with a good answer.
Reduce the following fraction: -36x^4y^4z^5/-12x^6y^3z
A. -3x^2yz^4
B. 3yz^4/1x^2
C. -9yz^5/-3x^2
D. 36yz^5/12x^2

Answers

Option c is your answer 3xy + 7x4

freeeeeeeeeeeeeeeeeeeeeeer pointk​

Answers

welp thank you for this

Unit 2 lesson 5 practice problem 3 in math workbook

You get 15 points if you answer this.

Answers

Answer:

what do you need help with???

1 1/3 - 2 1/5 + 7/10

Answers

11/3 – 11/5 + 7/10 = 13/6 or 2 1/6
:)

Answer:

[tex]-\frac{1}{6}[/tex]

Step-by-step explanation:

[tex]1\frac{1}{3} - 2\frac{1}{5} +\frac{7}{10}[/tex]

[tex]=-\frac{13}{15} +\frac{7}{10}[/tex]

[tex]=-\frac{1}{6}[/tex]

Heres a set of data 2.4, 1.6, 3.2, 0.3, 1.5 each peice of data is increases by 10, what is the mean? each new peice of data is doubles, whats the new mean?

Answers

Step-by-step explanation:

Mean is the ratio of the sum of the sample data to the total sample size.

1) Given the set of data 2.4, 1.6, 3.2, 0.3, 1.5, if each piece of data is increases by 10, the new data's will be;

(10+2.4), (10+1.6), (10+3.2), (10+0.3), (10+1.5)

sum of the new data's = 59

Sample size = 5

Mean = 59/5

Mean = 11.8

Hence if the price of data is increases by 10, its new mean will be 11.8

2) If each new piece of data is doubles, the new set of data will be;

2(2.4), 2(1.6), 2(3.2), 2(0.3), 2(1.5)

= 4.8, 3.2, 6.4, 0.6, 3.0

Sum of new data = 4.8+3.2+6.4+0.6+3.0

Sum of new data = 18

sample size = 5

Mean = 18/5

Mean = 3.6

Hence the new mean if the data were doubles is 3.6

Can someone help me pls

Answers

Answer:

Step-by-step explanation:

1). ASA postulate of congruence

2). Triangles are congruent.

Is this a proportional relationship

Answers

Answer:

Yes, this is a proportional relationship due to the fact that each total cost divided by the number of downloads are all equal to 3.

Yes , it is because they both are equal to 3

Find the length of segment JK with endpoints J(4, 8) and K(-1, -2). Leave the answer as a radical. Simplify if necessary

Answers

Answer:

The length of segment JK is 5[tex]\sqrt{5}[/tex] ⇒ C

Step-by-step explanation:

The formula of the distance between the two points (x1, y1) and (x2, y2) is

d = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]

Let us use the formula above to solve the question

∵ Jk is a line segment

∵ J = (4, 8) and K = (-1, -2)

x1 = 4 and y1 = 8

x2 = -1 and y2 = -2

→ Substitute them in the formula above

∵ JK = [tex]\sqrt{(-1-4)^{2}+(-2-8)^{2}}[/tex]

∴ JK = [tex]\sqrt{(-5)^{2}+(-10)^{2}}[/tex]

∴ Jk = [tex]\sqrt{25+100}[/tex]

Jk = [tex]\sqrt{125}[/tex]

→ Simplify the root

∵ 125 = 5 × 5 × 5

∴ [tex]\sqrt{125}[/tex] = 5[tex]\sqrt{5}[/tex]

JK = 5[tex]\sqrt{5}[/tex]

The length of segment JK is 5[tex]\sqrt{5}[/tex]

expand and simplify

2(x+7)+ 3(x+1)

Answers

Answer:

2(x+7)+3(x+1)

2x+14+3x+3

5x+17

Answer:

Step-by-step explanation

2(x+7)+ 3(x+1)

2x+14+3x+3

5x+17 is the answer

1. The model represents an equation.
Which is the value of x for this equation?
1
X
х
1
х
1
1
1
1
1
1
1
A.X= 2
B.x= 4
C.x= 5
D.x = 6

Answers

Answer:

nice avatar and the answer is a

i

#8 linear inequality in two variables is shown below. -4y <-12. Which
graph would represent the solution set of linear inequality? (SOLVE FOR
Y!)
Can someone help explain it!!!

Answers

Answer:

J

Step-by-step explanation:

Step 1: solve for y

Step 2: graph y, use dashed line

Step 3: Shade in solutions, here y>3 so everything bigger then 3 is a solution.

=1/3(3w - 12)= 1/6( 24-6w)

Answers

1w-4= 4-1w
+1w +1w
——————
2w-4=4
+4 +4
—————
2w=8
———
2. 2



w= 4

Answer:

i got you it's w=4

Step-by-step explanation:

2w/2=8/2 your going to divide both sides by 2. simplify that which gives you w=4

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