5 points A farmhouse shelters 10 animals. Some are goats and some are ducks. Altogether there are 36 legs. How many ducks and goats are there?​

Answers

Answer 1

Answer:

2 ducks and 8 goats

Step-by-step explanation:

let goat be g

let duck be d

d + g = 10

ducks have 2 legs, 2d

goats have 4 legs, 4g

2d + 4g = 36

making d the subject in the first equation;

d = 10 - g

put in second equation

2(10 - g) + 4g = 36

20 -2g + 4g = 36

2g = 36 - 20

2g = 16

g = 8

if g is 8

d = 10 - 8

d = 2


Related Questions

Find the ending
balance:
$30,000 for 5.5 years
at 6% annual
compound interest

Answers

step by step explaination:

ending balance=$30000

30000*5.5

165000÷6=27,500

compound interest =27,500

Chris wants to create a rectangular rose garden in a yard. He has 48 meters of garden fencing to go around the garden and he has to use it all. Pick two different ways in which he could construct the garden.

Answers

Answer:

If the length is kept 16 or 14  and the breadth 8 or 10 the outer fencing can be 48 meters.

Step-by-step explanation:

The boundary gives the perimeter . Using the formula of the perimeter for a rectangle  where L= length and B= breadth

P = 2(L+B)

48= 2(L+B)

24= (L+B)

The length must be longer than the breadth in the rectangle so we can obtain the sum of 24 in such a way that one side is longer than the other.

24= 16+8

or 24= 14+10

where the length can be 16 or 14 and breadth can be 8 or 10 .

If the length is kept 16 or 14  and the breadth 8 or 10 the outer fencing can be 48 meters.

i really need help i don’t understand this

Answers

Answer:

which one 1,2,3,4,5,6,7,8

Joel borrowed $1,512. He was to pay that amount back along with an additional 9% interest. He could only pay back 82% of what he should have. How much did Joel pay back on his loan?

Answers

Answer:

$1351.43

Step-by-step explanation:

The amount to pay:

$1512 + 9% = $1512*1.09 = $1648.08

The amount paid back:

82% of $1648.08 = 0.82*1648.08 = $1351.43

What is the range of the data set shown below?

{ 1, 1, 1, 4, 5, 6, 7, 15}

Answers

Answer:

1-15!

Step-by-step explanation:

PLZZZZZZZZZZ HELLLLPPPPPPPPP WILL MARK BRAINLIEST

Answers

Answer:

whats the question i dont see nothing

don´t understanddd .....

Answers

Answer:

a = 32°

Step-by-step explanation:

My thought process was that the square below the 58° usually means that its a 90° angle, so I just did 90°-58°=32°

In how many ways can 7 cars be parked if there are 10 available parking spaces?

Pa sagot po pls :(

Answers

Answer:

7/10 is the answer as a fractions

The distance travelled by a delivery vehicle can be calculated by the equation Distance = Rate x Time. What would be the correct representation of a situation in which a driver doubles his original speed, but drives for only of the original amount of time? dn = new distance do = original distance

Answers

Answer:

New distance = 2do

Step-by-step explanation:

The distance equation :

Distance = speed * time

If speed is doubled ; time stays the same

If speed is doubled,; new speed becomes

Doubled speed = 2* speed

Time remains the same ;

Hence,

New distance becomes : 2 * speed * time

Original dista, Speed * distance

New distance, dn = 2*do = 2do

Simplify.

8u+9v+3u−5v




11u + 14v

5u + 4v

15uv

11u + 4v

Answers

Answer: 11u + 4v

Step-by-step explanation:

8u + 3u = 11u

9v - 5v = 4v

11u+4v because you just collect like terms

136 X 24 in Standard Algorithm

and

245 X 67 in Standard Algorithm


(Please help, I have to turn this in soon)

Answers

3264 and 16,415

Step-by-step explanation:

136 x 24= 3264

245 x 67 = 16,415

Use the number line below to determine which of the following answer choices has statements that are all true

Answers

Answer: the last one

Step-by-step explanation: B REPRESENTS

-2 ½ . POINT D REPRESENTS 1 ¾ .

1 ¾ is bigger than -2 ½

The answer choice that has the statement that is true about the number line can be seen in the first option.

What is a number line?

A number line is a pictorial representation of lines on a calibrated straight line that serves as a basis for expressing real numbers on a straight line.

We should equally note that:

The left-hand side is the negative x-axis and,The right-hand side is the positive x-axis.

From the given figures;

Point A lies to the negative axis direction on point scale 4 i.e -4Point D lies extremely to another point scale so we can say it is [tex]\mathbf{1 \dfrac{3}{4}}[/tex]Since 3/4 is roughly 0.75 = 1 + 0.75 = 1.75

Therefore, we can conclude that Point A represents -4, Point D represents  [tex]\mathbf{1 \dfrac{3}{4}}[/tex] and  [tex]\mathbf{1 \dfrac{3}{4}}[/tex] > -4.

Learn more about number line here:

https://brainly.com/question/25230781

Sarah rolls a fair dice 54 times.
How many times would Sarah expect to roll a four?

Answers

Answer:

9

Step-by-step explanation:

The dice will have 6 sides so divide 54 by 6

Answer:

9

Step-by-step explanation:

The dice will have 6 sides so divide 54 by 6

HOPE THIS HELPS!!!!

find the value of given expression

[tex] \sqrt{99 - ( - 1)} [/tex]

Answers

Answer:

10

Step-by-step explanation:

Note that when there are two negative signs directly next to each other, you are adding:

[tex]\sqrt{99 - (-1)} = \sqrt{99 + 1} = \sqrt{100}[/tex]

Simplify:

[tex]\sqrt{100} = \sqrt{10 * 10} = 10[/tex]

10 is your value for the given expression

Answer:

± 10

Step-by-step explanation:

[tex]\sqrt{99 - (-1)} = \sqrt{99 + 1} = \sqrt{100}[/tex] = ± 10

Please show work! thank you :)

Answers

Answer:

c = 18

d = 36

Step-by-step explanation:

2c = d (equation 1)

c + d = 54 (equation 2)

Use substitution by putting 2c in the place of d on the second equation.

c + 2c = 54

3c = 54

Then divide both sides by 3 to get c (18).

Then use equation 1 to find d. Do this by putting 18 in the place of c.

2(18) = d

Solve, and the answer is d = 36

01:48:05
Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression?
(x2 – 7)(x – 5)
(x2 – 7)(x + 5)
(x2 – 5)(x – 7)
(x2 + 5)(x – 7)

Answers

Answer:

Step-by-step explanation:

x^2(x - 7) - 5(x - 7)

(x^2 - 5)(x - 7)

Answer:

It’s C on ed 2021

7.You plan to show that triangle QRS is similar to triangle XYZ by the SSS Similarity Theorem. Complete the proportion that you will use:

Answers

QR RS QS
—— = —— = ——
XY YZ XZ

Four rays meet at a common endpoint. Find the value of x. Find the measurement of angle CAD, if angle BAC =60, DAE= 90 and angle BAE= 12x, CAD=3x

Answers

Answer:

x = 14

<CAD = 42degrees

Step-by-step explanation:

Since all the rays meet at a point, the sum of all the angles at the point will be 360 degrees, since angle at a point is 360degrees

Taking the sum of all the angles and equating to 360, we will have;

<BAC + <DAE + <BAE + <CAD = 360

60+90+12x+3x = 360

150 + 15x = 360

15x = 360 - 150

15x = 210

x = 210//15

x = 14

Get <CAD

Since <CAD = 3x

<CAD = 3(14)

<CAD = 42 degrees

Hence the measure of angle CAD is 42degrees

PLEASE HELP Determine W and X in Circle M

Answers

your answer will be

w=16°

X=148°

Step-by-step explanation:

hope it helps you

have a great day!!

FIND THE AREA OF THE COMPOUND

Answers

Answer:

69

Step-by-step explanation:

Answer:

424 ft2

Step-by-step explanation:

Split the shape into two shapes

Solve each shape:

24x5= 120

16 (21-15=6) x19= 304

120+304= 424

What is 3 (2x + 4) = 12?

Answers

2x+4=4
2x=0
The answer is
X=0

Answer:

Hi!!

The answer is = 0

Step-by-step explanation:

1. Distribute

3(2+4)=12

6+12=12

2. Subtract 12 from both sides of the equation

6 + 12= 12

6 + 12 − 12 = 12 − 12

3.Simplify

part A. 6 + 12 − 12 = 12 − 12

6x = 12 - 12

part B. 6x = 12 - 12

6x = 0

Hope this helps!! =)

what is the reason these triangles are congruent
a. SSS
B. SAS
C. not congruent

Answers

Answer: SAS

Step-by-step explanation: The angles sides are congruent based on the diagram

the answer is Bbbbbbb

4. A cake decorator can decorate 6 cakes in 1.5 hours.
At this rate, how many cakes could he decorate
during his 8-hour workday?

Answers

Answer:

33

Step-by-step explanation:

Seeing as there is only 8 hours in a workday he could make 33.

Hope this helps!

Answer:

33

Step-by-step explanation:

1.5*5=7.5

8-7.5=0.5

0.5=1/2

1/2 of 6=3

6*5=30

30+3=33

Hope this helped!

(50pts) The distance covered and the time taken by a car are plotted in a graph.


a. Find the slope of the line in the graph.
b. Calculate the distance traveled by the car at the 20th second.
c. Calculate the speed of the car.

Answers

Answer:

a=2

b=40m

c=2m/s

Step-by-step explanation:

slope is rise over run so 10/5 simplified is 2/1 or 2

for b just look at the graph at the 20th second

for c you do distance over time so basically the same thing as a 10/5 which is 2m/s

Find the measure of ∠b. A. 61 B. 39 C. 54 D. 44

Answers

Answer:

39??

Step-by-step explanation:

Help don't answer if you don't know!!!!

Answers

Answer:

48

Step-by-step explanation:

Since it's a right angle, it's automadically 90 degrees so you just have to add 23+ 19 and subtract from 90.

23 + 19 = 42

90 - 42 = 48

1. How many sheets can a copier reproduce in 5 min. if it makes a copy every 1 ⅑ sec.?​

Answers

Answer:

4.5 or just say 4 if your gonna round it up. hope this helped :)

Step-by-step explanation:

a fire truck has a ladder that can extend to 120 ft in length. The ladder can be safely raised to the maximum angle of 75 with the horizontal. Disregarding the height of the fire truck itself which is the closest to the maximum height the ladder can safely reach

Answers

Answer:

the ladder is 60 feet and the angle is 75 degrees     guess and check         sin75=x/60    

0.9659258263=x/60

57.9555=x

57.96=x

so B

FIND THE MISSING OUTPUT VALUE (brainiest)

Answers

Answer:

-19

Step-by-step explanation:

this is because if you replace x with -2 for 9x-1 your answer would be -18-1 which is -19

ANSWER: Y=-19

EXPLANATION: y=9(-2)-1
y=(-18)-1
y=-19

DB is a perpendicular bisector of ADC.
AC = 2x + 20 BC = 4x-2 Solve for x.
Find BC and AC.

Answers

Answer:

                                                   

Step-by-step explanation:

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