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Naddik [55]
3 years ago
10

A recipe calls for one cup of juice concentrate for 4 cups of water. How many cups of concentrate are needed if 1 cup of water i

s use? Set up a proportion and show your work
Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
3 0

Answer:

1/4 cups of juice

Step-by-step explanation:

1 cup of juice --- 4 cups of water

x cups of juice --- 1 cup of water

1/x = 4/1

1/x = 4

x = 1/4

You might be interested in
There are 3 times as many dogs as cats.
vazorg [7]

Answer:

there are 12 dogs.

Step-by-step explanation:

d= dogs              now plug in the 4 into your equation.

c= cats                  d=3(4)

d+c=16                   d=12

3c+c=16

4c=16                        SO THEREFORE THERE ARE 12 DOGS :)

c=4            

7 0
3 years ago
Mrs. Perry is taking a group of students to the Clark Planetarium where tickets cost $7 each. The bus will cost $50 and she has
kenny6666 [7]
Answer:
71 people can attend under these constraints

Explanation:

So you write the slope intercept form equation which is 7x+50=200
You got 7x because every tickets cost 7
You add 50 because of the bus
And you’re wondering how many people are able to go by just spending about $200

So you subtract 50 on both side and you are left with 7x=150 so you have to divide 7 on both side next and you get about 71.4... so basically just round it up to 71 people
7 0
3 years ago
Write an equation for the nth term of the arithmetic sequence.
tresset_1 [31]

Answer:

<h3>              \bold{a_n=6n-3}\\\\\bold{a_{50}=297} </h3>

Step-by-step explanation:

3, 9, 15, 21,  ...

9-3 = 6;   15-9 = 6;   21-15 = 6   ⇒  d = 6

first term:  a = 3

difference:  d = 6

so the formula:

                         a_n=a+d(n-1)\\\\a_n=69+6(n-1)\\\\a_n =3+6n-6\\\\\underline{a_n=6n-3}                        

and:

   a_{50}=6\cdot50-3=300-3=297

5 0
2 years ago
(Tough day dividing polynomials and I'm still lost!) Please help me my hands are legit numb:)
N76 [4]

Answer:

Option D. 9

Step-by-step explanation:

There are two ways to obtain the answer to the question.

Method 1:

Let 2x + 1 = 0

Making x the subject, we have

2x + 1 = 0

Collect like terms

2x = –1

Divide both side by 2

x = –1/2

Now, put the value of x into the expression 4x³ – 6x² – 8x + 7, we have:

4x³ – 6x² – 8x + 7

x = –1/2

4(–1/2)³ – 6(–1/2)² – 8(–1/2) + 7

4(–1/8) – 6(1/4) – 8(–1/2) + 7

–1/2 – 3/2 + 4 +7

– 4/2 + 4 + 7

– 2 + 4 + 7

= 9

Method 2:

Divide 4x³ – 6x² – 8x + 7 by 2x + 1

Please see attached photo for explanation.

4 0
3 years ago
Given the figure above, determine​
tensa zangetsu [6.8K]
Answer: Angle 2 = 47 degree

Explanation:

Proof that triangle ACB ~ triangle CBD

Angle ABC = Angle CBD (same angle)

If one pair of the angle is the same then the other pair should also be equal because both the triangle are Isosceles.

=> angle ACD = Angle CDB

Therefore, triangle ACB ~ triangle CBD (AA)

=> angle C = Angle A

But angle A = 47 degree

Therefore, Angle C = Angle 2 = 47 degree

6 0
2 years ago
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