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Dvinal [7]
2 years ago
7

Select the correct answer from the drop-down menu. A whole number is 6 more than 2 times another number. The sum of the two numb

ers is less than 50. This can be written in an inequality as x + 2x + 6 < 50, where x represents the smaller number. From the set {13, 14, 15, 16, 17}, the values of x for which the inequality holds true are .
Mathematics
1 answer:
olya-2409 [2.1K]2 years ago
7 0

Answer:

x = \{13,14\}

Step-by-step explanation:

Given

x + 2x + 6 < 50

Required

True values of x

We have:

x + 2x + 6 < 50\\

3x + 6 < 50

Collect like terms

3x < 50-6

3x < 44

Divide both sides by 3

x < 44/3

x < 14.67

This means that x has a value lesser than 14.67.

Hence, the valid values are:

x = \{13,14\}

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WRITE AN EQUATION 331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students we
Ad libitum [116K]

Answer: 54 students in each bus

Step-by-step explanation:

331 - 7 = 324

324 ÷ 6 = 54.

There were 54 students in each bus.

3 0
2 years ago
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What is StartFraction 7 Over 9 EndFraction divided by one-third?
nordsb [41]

Answer:

D, two and one third

Step-by-step explanation:

i used a calculator

6 0
3 years ago
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How much of a 60% acid solution must be mixed with 50 gallons of a 24% acid solution to obtain a solution that is 50% acid?
tiny-mole [99]
My teacher taught me a simple equation for these types of problems:
(percent of solution × amount of solution) + (percent of solution × amount of solution) = (percent of solution × total amount of solution) 
in simple terms:    %amount + %amount = %total amount
We know don't know how much gallons of 60% solution we need so it will be represented as x. We dont know the total amount either so it would have to be both solutions added together so 50 + x. Now lets solve:
(0.60)(x) + (0.24)(50) = (0.50)(50 + x)            simplify/ distribute
0.6x + 12 = 25 +0.5x                  get all xs on one side and numbers on other
0.1x + 12 = 25
0.1x = 13    divide both sides by 0.1 to find x
x = 130
You need 130 gallons of 60% solution.
8 0
3 years ago
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Bobby has already ran 1 mile on his own, and he expects to run 1 mile during each track practice. How many track practices would
german

Answer:

In order to have ran 33 miles, Bobby would have to attend <em>32 track practices.</em>

Step-by-step explanation:

Solving this problem entails of uncovering the amount of track practices Bobby must attend in order to have ran 33 miles. Start by reading the problem carefully to break down the information provided.

You can see that Bobby has already ran one mile on his own. This is important to remember for later. The problem also states that he expects to run one mile at every track practice.

Setting up an equation will help us solve. Here is how we could set up the equation:

(<em>amount of miles already ran</em> = 1) + (<em>number of track practices</em> = x) = (<em>total miles to run</em> = 33)

1 + x = 33

The equation is now in place. You can solve this, or isolate <em>'x',</em> by using the subtraction property of equality. This means we will subtract one from both sides of the equation, thus isolating the variable.

1 + x = 33

1 - 1 + x = 33 - 1

x = 32

The variable is the only term left on the left side of the equation. This means Bobby must attend track practice <em>32 times</em> in order to have ran 33 miles.

8 0
3 years ago
Write the quadratic equation in standard form please<br> -5x^2-6x=-1+2x
slava [35]

Answer:

-5x^2-8x+1=0

Hope this helps!!

8 0
2 years ago
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