Mathematics High School

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

the ratio the ratio of two numbers is 5:6 . find the sum of two numbers is 55. find the number

Answers

Answer:

25 and 30

Step-by-step explanation:

Given the ratio of 2 numbers is 5 : 6 = 5x : 6x ( x is a multiplier ), then

5x + 6x = 55, that is

11x = 55 ( divide both sides by 11 )

x = 5

Thus

5x = 5 × 5 = 25

6x = 6 × 5 = 30

Then the 2 numbers are 25 and 30

Find the limit !!!!!!

Answers

Answer:

1/8.

Step-by-step explanation:

Use l'Hopitals rule - we find the derivative of top and bottom of the fraction.

Derivative of the numerator = 0 - 1/2 (16 - x)^-1/2 -1

= 1 / [ 2 * (16 - x)^1/2

Derivative of the denominator = 1

When x approaches 0 this is 1 / (2*4)

= 1/8.

Another way to do this is to multiply top and bottom by 4 + (16 - x)^1/2

This becomes 16 - (16 - x) / x(4 + (16-x)^1/2)

= 1 / (4 + (16 + x)^1/2

When x ---> 0

this = 1 /(4 + 4)

= 1/8.

PLEASEEEE HELPPPPP ASAPPPP

Answers

Answer: f(n) = 8n + 20

(9 3 ) 6 = please help me answer this question

Answers

Answer: I think you meant (9^3) 6
If I’m not mistaken the answer is
4374 because 9x9x9= 729x6

whats the slope of this?

Answers

Answer: -3

Step-by-step explanation:

A car traveled a distance of 210 miles in 3 hours time. How fast was the car driving?

Answers

you do 210 mile / 3 hours. and then that’s the mile per hour rate

Which of the following is equivalent to 12x + 6?

Answers

Answer:

6 ( 2 x + 1)

Step-by-step explanation:

6 (2x+1)
I think but im not 100 percent sure

Can someone please help me with my homework !!

Answers

The top left question is -1. The top middle question is -50. The top right question is 9. The bottom left question is -2x+23. The bottom middle question is 7x-28. The bottom right question is Option d or between -7 and -8:)

Please help asap! Due tonight!

Answers

Answer:

C. 4,4,[tex]\sqrt{32}[/tex]

Step-by-step explanation:

a^2 + b^2 = c^2

4,4,[tex]\sqrt{32}[/tex]

4^2 + 4^2 = [tex]\sqrt{32}[/tex]^2

16 + 16 = 32

32 = 32

Answer:

darnnnnn the person beat me to it. it is c. 4,4,√32

Step-by-step explanation:

What is the slope of this graph?
O
5
3
o
3
O
-3

Answers

Answer:

where is the graph?

Step-by-step explanation:

What is the value of 3/8 divided by 9/10

Answers

Answer:

0.41666666666

Step-by-step explanation:

Answer:

The value is 5/12

Question 8 of 10
If a point is on the bisector of an angle, then it is:
A. on one side of the angle.
B. the vertex of the angle.
C. equidistant from the two sides of the angle.
D. equidistant from the bisector and one side of the angle.

Pls and thank you

Answers

Answer:

yr point is A

Step-by-step explanation:

If a point is on the bisector of an Angle , then it is equidistant from two sides .

The Meaning of Bisector is to divide something or anything into two equal Halves.

The Meaning of Bisector of any Angle means to divide that Angle into two equal Parts.

Option A

equidistant from the two sides of the angle.

i jst taken the quiz

Answer:

equidistant from the two sides of the angle.

Step-by-step explanation:

E=RIGHT FOR AP-EX

Monday's high temperature in Denver, Colorado was 25°F. The low temperature was
-4° F. What was the difference between the high and low temperatures?

Answers

Answer:

The difference between the high and low temperatures is 29°F

Step-by-step explanation:

Subtraction

The high temperature in Denver, Colorado was 25°F on Monday.

The low temperature was -4°F in the same place.

We are required to find the difference between the high and low temperatures.

We need to subtract 25 and -4:

Difference = 25°F - (-4°F)

Note we change the sign of the subtraction multiplying (-1) by (-1);

Difference = 25°F + 4°F

Difference = 29°F

The difference between the high and low temperatures is 29°F

I need help ASAP
3k+30=95+k+2k-5

Answers

Answer:

Step-by-step explanation:

3k+30=95+k+2k-5

3k+30=100+3k

-30 -30

3k=70+3k

-3k -3k

k=70

Explain why 20 is not a square number.

Answers

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 20 is about 4.472. Thus, the square root of 20 is not an integer, and therefore 20 is not a square number.

The reason why 20 is not a square number is because it's square root is not an integer.

Why is 20 not a square number?

It follows from the task content that we explain why 20 is not a square number.

First, a square number is one whose square root is an integer. Hence, such a number is a perfect square.

On this note, 20 is not a square number because it's square root is not an integer.

Answers

Answer:

4.587

Step-by-step explanation:

Add the following using horizontal method

i.)abc,-2abc,4abc

ii.)8xz,-2xz,-6xz

Answers

Answer:

i - 3abc

ii - 0

Step-by-step explanation:

i- abc,-2abc= -abc (think of it as 1-2)

-abc,+4abc=3abc (-1+4)

ii- 8xz,-2xz=6xz (8-2)

6xz,-6xz=0 (6-6)

What the other guy said :D

Hey everyone! What is -9.56 - (-1.235) = ?
Thanks!

Answers

Step-by-step explanation:

-9.56 - (-1.235)

=-9.56+1.235

=-8.325

Rotate ΔABC with vertices A(-1, 4), B(2, 1), and C(3, -3) about the origin by 90°.

What are the coordinates of A'?

Answers

You got this you can do it I don’t know the answer but I hope you find someone who does(:

Two parallel lines are crossed by a traversal. What is the value of k?
k=9
k=20
k=60
k=71

Answers

Answer:

k=60 is the awnser.

The answer is k=60

Plug in the equations...

2k+11=131
-11 -11

2k=120

K=60

I need some help and fast
Solve this plz

Answers

Answer:

It could be or 70 or 78

Step-by-step explanation:

Answer:

there the same they are both 84

Step-by-step explanation:

eduardo works as an accountant for a consulting firm. he earns an annual salary of 68,090 and an annual bonus based of the firms preformance. this year eduardo will earn a bonus of 3% of his annual salary , which is 2,042.70. what is eduardos annual gross pay

Answers

Answer:

70.132,70

Step-by-step explanation:

68.090,00

+ 2.042,70

_________

70.132,70

escribi los rsultados de cada cálculo como una exprecion decimal.
a)5+1/10+4/100=
b)1+5/10+7/100+5/1.000=
c)3/10+4/1.000=

POR FA NECESITO AYUDA ES PARA HOY

Answers

Answer:

a) 257/50 or 5.14

b) 657/100 or 6.57

c) 43/10 or 4.3

Step-by-step explanation:

Espero que esto ayude y que tengas un gran día! :)

What number is 9% of 118?

Answers

Answer:

10.62 is the correct answer ☺

The correct answer is 10.62 or 11 rounded:)

PLS help guys dont do it for the points and you have to find the sum

Answers

Answer:

12/15 or 4/5

Step-by-step explanation:

4+1+7=12

All three fractions have common denominator which is 15

Answer:Exact Form 4/5

Decimal form: 0.8

or it is 8/10, 12/15, 16,20, 20/25 and 24/30

Find the value of x. *

Please help me.

Answers

Answer:

x=50

Step-by-step explanation

The two angles add up to 180, so 2x+4+76 = 180

2x+80=180

2x=100

x=50

when this polynomial is divided by (m+1), the remainder is 0. What is the value of the polynomial’s constant term?

Answers

Answer: it would be -4

Step-by-step explanation:

I got it right one the mastery test

Answer: -4

Step-by-step explanation:

help! this is algebra 1 and idk how to do it lol

Answers

Answer:

a. x+6 = 0

b. y-2 = 0

Step-by-step explanation:

Given point is:

(-6,2)

a. Line perpendicular to x-axis:

A line perpendicular to x-axis means that the line is vertical and parallel to y-axis. Any equation parallel to y-axis has the form

x = k

where k is the x-coordinate of the point from which the line passes.

So the required equation is:

[tex]x = -6\\x+6 = 0[/tex]

b. Line perpendicular to y-axis:

A line perpendicular to y-axis will be a horizontal line parallel to x-axis having the equation of the form

y = b

where b is the y-intercept

Required equation is:

[tex]y = 2\\y-2=0[/tex]

Hence,

a. x+6 = 0

b. y-2 = 0

A tree initially measured 18 feet tall. Over the next 312 years, it grew to a final height of 3512 feet. During those 312 years, what was the average yearly growth rate of the height of the tree?

Answers

Answer:

Average growth= 11.20 feet

Step-by-step explanation:

First, we need to calculate the total growth during those 312 years:

Total growth= 3,512 - 18

Total growth= 3,494 feet

Now, the average growth:

Average growth= total growth / number of years

Average growth= 3,494 / 312

Average growth= 11.20 feet

An equation uses the symbol.
True
False

Answers

Answer:

False

Step-by-step explanation:

Answer:

If you mean the symbol = then true.

Step-by-step explanation:

equation = equal sign

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