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Sergio039 [100]
3 years ago
9

Translate the sentence into an inequality.

Mathematics
1 answer:
Tanzania [10]3 years ago
7 0

For the difference of a number and 3, you should do b-3 and twice that would be 2(b-3). For this to be at most -23, the inequality would be ≤. Thus,

2(b-3)≤-23

is the answer.

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How many liters of a 10% antifreeze solution and a 40% antifreeze solution must be mixed to make 15 liters of a 25% solution? Ro
butalik [34]

Answer:

7.5 liters of a 10% antifreeze solution AND

7.5 liters of a 40% antifreeze solution

Step-by-step explanation:

According to the question,we were asked to find out how many liters of 10% anti freeze solution and 40% anti freeze each to make a 15 liters 25% mixture

Let’s call

the amount of liters needed of our 10% solution “x”. So, how

many liters do we need of the 40% solution? Well, there are 15

liters in total, x liters have been spoken for, so what remains

of our allotted 10 liters then, is 15-x.

Now let's solve for "x"

10% of x + 40% of (15 - x) = 25% of 15 liters

0.1x + 0.4(15 - x) = 0.25(15)

0.1x + 6 - 0.4x = 3.75

Collect the like terms and we have

0.3x = 2.25

x = 2.25 × 3

X = 7.5(Liters for the 10% anti freeze solution)

The 40% solution= 15 - 7.5 = 7.5 liters

Since "X" was used to fill for the unknown amount of 10% anti freeze solution,we have 7.5 liters of the 10% solution and another 7.5 liters for the 40% solution to end up with 15 liters of the desired 25% solution.

8 0
3 years ago
PLEASE HELP!!! WILL GIVE BRAINLEST AWARD FOR MOST DESCRIPTIVE
Rashid [163]
The law of cosines states that:

c^2=a^2+b^2-2abcosC

You already have all the values for the variables with the exception of x so:

x^2=25+100-100cos60

x=√(125-100cos60)

x=√75

x≈8.66 to nearest one-hundredth...
3 0
3 years ago
Divide. express your answer in simplest form.<br><br>3 5/6 ÷ 3 3/4​
Harlamova29_29 [7]

Answer:

\frac{46}{45}

Step-by-step explanation:

3 5/6 ÷ 3 3/4​ = 46/45

3 0
3 years ago
Mrs taylor gave each of her students 75 pieces paper at the beginning of the school year if there are 32 students in her class h
Jobisdone [24]
Problem
Mrs. Taylor handed out 75 sheets of paper to each student in her class. If she has 32 students, how many total sheets of paper did she hand out?

Result
2,400 sheets of paper

Solution
We can solve this using multiplication.

75 · 32 = 2,400

3 0
3 years ago
Read 2 more answers
Which fractions are closer to 0 than 1​
Luden [163]

Answer:

proper fractions

Step-by-step explanation:

Proper fractions have a numerator that is always less than the denominator. In arithmetic, using positive numbers, proper fractions represent the numbers between 0 and 1. , , and are all proper fractions. Improper fractions have a numerator that is greater than the denominator.

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