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3 years ago

At a farm the ratio of cows to horses was 9:2. If there were 72 cows at the farm, how many horses were there?

2 answers:

lina2011 [118]3 years ago

6 0

So to start we need to divide 72 by 9 and you would get 8
Then multiply 2 by eight and you get 16

There are 16 horses.

Hope this helps!

bixtya [17]3 years ago

4 0

Let the no. Of horses be x

9÷2 = 72÷x

X= 144÷9
No. Of horses = 16

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3. In ΔABC, AB = 5 inches and BC = 3 inches. Which of the choices represents all possible values for AC, in inches?

Nonamiya [84]

Answer:

2< AC<8

Step-by-step explanation:

For a triangle to exits sum of two sides must always be greater than the the third side

⇒ AC< AB+ BC =5+3=8 in

⇒AC<8 in

Also, the difference of the two sides must be smaller than the length of third side

⇒ AC> | AB-BC| = |5-3| =2

AC> 2 in

therefore, we can say 2< AC<8. Hence, AC can takes 3,4,5,6 values

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3 years ago

Ken makes a salad for 20 people. The salad dressing contains olive oil and 1/8 cup lemon juice per person. If there are 3 and 3/

sineoko [7]

I have no clue what the answer is to this

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3 years ago

Y = 4x – 18 y = -5x +9

adelina 88 [10]

Answer:

(3, -6)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Coordinates (x, y)
Terms/Coefficients
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 4x - 18

y = -5x + 9

Step 2: Solve for x

Substitution

Substitute in y [2nd Equation]: 4x - 18 = -5x + 9
[Addition Property of Equality] Add 5x on both sides: 9x - 18 = 9
[Addition Property of Equality] Add 18 on both sides: 9x = 27
[Division Property of Equality] Divide 9 on both sides: x = 3

Step 3: Solve for y

Substitute in x [1st Equation]: y = 4(3) - 18
Multiply: y = 12 - 18
Subtract: y = -6

5 0

2 years ago

Read 2 more answers

Show me how to solve .384-.3798

-Dominant- [34]

Answer:

0.0042

Step-by-step explanation:

0.3840

- 0.3798

‐--------------

0.0042

‐--------------

8 0

3 years ago

PLEASE HELP ASAP ILL GIVE BRAINLIEST!!!!! find measure of arc MK

Gwar [14]

Answer:

Arc length MK = 15.45 units (nearest hundredth)

Arc measure = 58.24°

Step-by-step explanation:

Calculate the measure of the angle KLN (as this equals m∠KLM which is the measure of arc MK)

ΔKNL is a right triangle, so we can use the cos trig ratio to find ∠KLM:

$\sf \cos(\theta)=\dfrac{A}{H}$

where:

$\theta$ is the angle
A is the side adjacent the angle
H is the hypotenuse (the side opposite the right angle)

Given:

$\theta$ = ∠KLM
A = LN = 8
H = KL = 15.2

$\implies \sf \cos(KLM)=\dfrac{8}{15.2}$

$\implies \sf \angle KLM=\cos^{-1}\left(\dfrac{8}{15.2}\right)$

$\implies \sf \angle KLM=58.24313614^{\circ}$

Therefore, the measure of arc MK = 58.24° (nearest hundredth)

$\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right) \quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle)}$

Given:

r = 15.2
∠KLM = 58.24313614°

$\implies \textsf{Arc length MK}=2 \pi (15.2)\left(\dfrac{\sf \angle KLM}{360^{\circ}}\right)$

$\implies \textsf{Arc length MK}=\sf 15.45132428\:units$

6 0

2 years ago