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svetlana [45]
4 years ago
6

A recipe called for the ratio of sugar to flour to be 10 : 3. If you used 70 ounce of sugar, how many ounces of flour would you

need to use?
Mathematics
1 answer:
otez555 [7]4 years ago
7 0

Answer:

21 ounces

Step-by-step explanation:

We will set up a proportion for this problem.  First we use the ratio we are given of sugar to flour:

10/3

The second ratio will be int he same format, sugar to flour.  We know we are using 70 ounces of sugar, and an unknown amount of flour (we will use x):

70/x

This gives us the proportion

10/3 = 70/x

Cross-multiply:

10(x) = 3(70)

10x = 210

Divide both sides by 10:

10x/10 = 210/10

x = 21

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Which number line models the solution set of the following problem? One less than twice a number is no less than five. What is t
Nadya [2.5K]

Answer:

Option 1.

The solution set is: {n|n is a real number, n≥3}


Step-by-step explanation:

1. You must read carefully the information given in the problem: "One less than twice a number" indicates that you must write a number n multiplied by 2 and subtract 1 from this term, as following:

2n-1

2. "is not less than five" indicates that the result must be equal or greater than 5. Then, you obtain the following expression:

2n-1\geq5

3. Now, you can solve for n. Then, you obtain:

2n-1\geq5\\2n\geq6\\n\geq\frac{6}{2}\\n\geq3

4. Then, the solution set is: {n|n is a real number, n≥3}.

5. The correct plot on the number line must show a circle on 3 (You must fill in the circle if the sign is \leq or\geq) with a line from that circle to the right.

5. Therefore, the answer is the first option.

7 0
3 years ago
PLEASE HELPPPPPP!!!!! You are performing an experiment to determine how well plants grow under different light sources. Of the 3
PIT_PIT [208]

The probability that a plant in the experiment receives visible or ultraviolet light is 7/10.

<u>Step-by-step explanation</u>:

The total number of plants in the experiment = 30 plants

Plants that receive visible light alone = 12 plants

Plants that receive ultraviolet light alone = 15 plants

Plants that receive both visible and ultraviolet light = 6 plants

<u>step 1</u> :

<em>Probability = No. of required events / Total number</em>

<u>step 2</u> :

P(visible) = 12 / 30

P(ultraviolet) = 15 / 30

P(both) = 6 / 30

<u>step 3</u> :

P(visible  or ultraviolet) = P(visible)  + P(ultraviolet) - P(both)

                                         = 12/30 + 15/30 - 6/30

                                         = 21/30

P(visible  or ultraviolet) = 7/10

8 0
3 years ago
ryan has a balance of $75 in his savings account and deposits $25 each week. He needs at least $300 to buy the gift he wants for
horsena [70]

Answer:

25x + 75 ≥ 30

Hope this helps!

4 0
3 years ago
Write the values in the boxes that make the statement true
nikklg [1K]

Answer:

  • \frac{5}{3}xz^8*9x^6y^0z^2 = 15x^7z^{10}

Step-by-step explanation:

<u>Given</u>

  • \frac{5}{3}xz^a*bx^cy^dz^2 = 15x^7z^{10}

<u>Simplify</u>

  • \frac{5}{3}b*x^{1+c}z^{a+2}y^d = 15x^7z^{10}y^0

Compare left and right sides and

<u>Find b:</u>

  • <u />\frac{5}{3} b = 15 ⇒ b = 15*3/5 = 9

<u>Find c:</u>

  • 1 + c = 7 ⇒ c = 7 - 1 = 6

<u>Find a:</u>

  • a + 2 = 10 ⇒ a = 10 - 2 = 8

<u>Find d:</u>

  • d = 0

<u>Solution is:</u>

  • \frac{5}{3}xz^8*9x^6y^0z^2 = 15x^7z^{10}
8 0
3 years ago
Tiffany ate ¼ of a pizza. If there were 16 slices of pizza to begin with, how many slices did Tiffany eat?
PIT_PIT [208]

Answer:

she ate 4 slices

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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