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3 years ago

Answer question 12 and 13

Mathematics

1 answer:

ale4655 [162]3 years ago

7 0

12) The mistake that Liz made was instead of shading in 5% of the diagram, she shaded in 5 blocks, which is incorrect.
13) You would have to shade in only one block, because 5% of 20 (blocks) is 1.

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The sum of a number times 7 and 21 is at least 29. Write as an inequality

PtichkaEL [24]

The inequality is 7x + 21 $\leq 29$

Step-by-step explanation:

DATA:

Let the number be x

Number times 7 = 7*x

Sum of a number times 7 and 21 = 7x + 21

Is at least 29

INEQUALITY:

7x + 21 $\leq 29$

SOLVE:

7x $\leq 29-21$

7x $\leq 8$

x $\leq \frac{8}{7}$

Therefore, the inequality is 7x + 21 $\leq 29$

Keyword: Inequality

Learn more about inequality at

#LearnwithBrainly

6 0

3 years ago

Solve for x: x^2 + 14x + 49

Kaylis [27]

Answer: -7twice

Step-by-step explanation:

This is a question on root of quadratic equation. The interpretation of the question

x² 14x + 49 is

x² + 14x + 49 = 0.meaning that we are to find two possible values for x that will make the expression equal 0.

We can use any of the methods earlier taught. For the purpose of this class, I am using factorization methods

x² + 14x + 49 = 0

Now, find the product of the first and the last terms, is

x² × 49 = 49×²

Now find two terms such that their productbis 49x² and their sum equals 14x, the one in the middle.

We have several factors of 49x² but only one will give sum of 14x. Because of the time, I will only go straight to the required factors .

49x² = 7x × 7x and the sum gives 14x the middle terms..

Now we now replace the middle one by the factors and then factorize by grouping.

x² + 14x + 49 = 0

x² + 7x + 7x + 49 = 0

x(x + 7) + 7(x + 7) = 0

(x + 7)(x + 7). = 0

Now to find this value of x,

x + 7 = 0

x. = -7twice.

The root of the equation = -7twice.

3 0

3 years ago

Which of the following is equivalent to the expression below?

PilotLPTM [1.2K]

Answer:

C 9i

D -9i

Step-by-step explanation:

sqrt(-81)

sqrt(81) sqrt(-1)

we know that sqrt(-1) = i

±9i

8 0

2 years ago

Triangle ABC is rotated 45° about point X, resulting in triangle EFD. If EF = 4.2 cm, DF = 3.6 cm, and DE = 4.5 cm, what is CB?

Margaret [11]

This is the concept of transformations, given that ABC was rotated it implies that it retained it's original dimensions. This means that ABC is proportional to EFD. Therefore, given that EF=4.2 cm, DF=3.6 cm and DE=4.5 cm. The CB=FD=3.6 cm

5 0

3 years ago

Read 2 more answers

The diameter of the moon is approximately one fourth of the diameter of the earth.

netineya [11]

Answer:

Step-by-step explanation:

Area of a sphere is $4\pi d^{2}$