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3 years ago

a recipe requires 1/3 cup of milk for each 1/4 cup of water how many cups of water are needed for each cup of milk

Mathematics

1 answer:

Darya [45]3 years ago

4 0

Answer:

1 cup of milk is used with 34 cup of water

Explanation:

A comparison between the cups of milk and cups of water can be written as a ratio:

Step-by-step explanation:

Note that: 1/3>1/4 milk : water 13:14 ←×12 to get rid of fractions

12/11×1/3:12/1×1/4= 4:3

4 cups of milk are used with 3 cups of water ←÷4

1 cup of milk is used with 34 cup of water

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The sum of a number and forty-six

ad-work [718]

$\textsf{Hey there!}$

$\mathsf{\star \ The\ sum\ of\ a\ number\ \&\ forty-six}$

$\frak{Let's\ lable\ the\ keypoints\ so\ it\ can\ be\ easier\ to\ solve}$

$\bullet \ \textsf{The word \bf{\underline{SUM}}}\textsf{\ means\ add/addition}}$

$\bullet\textsf{ \underline{"A number"} is an unknown number so we can lable it as \bf{x}}$

$\bullet\textsf{ \underline{forty-six} is 46}$

$\textsf{The sum (+) does in the middle while \underline{x} \& \underline{46} will either be on left/right}$

$- \ \textsf{We can say that x is on your left}$

$-\ \textsf{ + can be in your middle}$

$- \ \textsf{\& lastly 46 can be on your right}$

$\boxed{\textsf{Thus, your answer SHOULD LOOK like: \boxed{\huge\text{\bf{x + 46}}}}}\checkmark$

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4 0

2 years ago

A manufacturer of skis produces two types: downhill and cross country. The times required for manufacturing and finishing each s

pogonyaev

Answer:

So to maximize profit 24 downhill and 20 cross country shouldbe produced

Step-by-step explanation:

Let X be the number of downhill skis and Y the number of cross country skis.

Time required for manufacturing and finishing each ski are: manufacturing time per ski, downhill 2.5 hours, cross country 1.5 hours

Finishing time per ski: downhill 0.5 hours, cross country 1.5 hours.

Total manufacturing time taken = (2.5) x+ (1.5+) y = 2.5x+1.5y≤90

total finishing time taken = 0.5x+1.5 y≤42

Profit function

Z = 50x+50y

Objective is to maximize Z

Solving the two equations we get intersecting point is

(x,y) = (24,20)

In the feasible region corner points are (0.28) (36,0)

Profit for these points are

i) 2200 for (24,20)

ii) 1400 for (0,28)

iii) 1800 for (36,0)

So to maximize profit 24 downhill and 20 cross country shouldbe produced.

6 0

2 years ago

I'm not sure what AAS,SAS,SSS,ASA mean .how do I solve this?

notka56 [123]

Answer:

AAS is an acronym for Angle-Angle-Side. It basically means that if two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of a second triangle, then the two triangles are congruent. SAS is an acronym for Side-Angle-Side. It means that if two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent. SSS is an acronym for Side-Side-Side. It means that if three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent. ASA is an acronym for Angle-Side-Angle. It means that if two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent.

In the problem, we know that the corresponding sides of both triangles are congruent to each other, so those would be given. The third side of each triangle would also be congruent because of reflexive property. Reflexive property means that the two triangles share a line segment. So, the answer would be SSS.

8 0

2 years ago

Solve for x. Please Help

IceJOKER [234]

I’m pretty sure it would be C

4 0

2 years ago

Read 2 more answers

Please help me with this:(

dolphi86 [110]

Answer:

Y = 32.7°

Step-by-step explanation:

We will apply the Cosine law in the given triangle XYZ,

x = 90 ft

y = 55 ft

z = 50 ft

We have to find the measure of angle Y.

y² = x² + z² - 2xzCosY

(55)² = (90)² + (50)² - 2(90)(50)cosY

3025 = 8100 + 2500 - 9000.cosY

9000.cosY = 10600 - 3025

cosY = $\frac{7575}{9000}$

= 0.84167

Y = $\text{cos}^{-1}(0.84167)$

Y = 32.68 ≈ 32.7°

Therefore, measure of angle Y = 32.7°

5 0

2 years ago