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Mashcka [7]
2 years ago
6

A number x multiplied by 4/7 is less than 12/5

Mathematics
1 answer:
morpeh [17]2 years ago
7 0

Step-by-step explanation:

a \: number \: x \: multiplied \: by \:  \frac{4}{7 }  \\ x \times  \frac{4}{7 }  \\ is \: less \: than \frac{12}{5}  \\ x \times  \frac{4}{7 }  <  \frac{12}{5}  \\ multiply \: through \:b y \: the \: l.c.m \: which \: is \: 35 \\ 35 \times x \times 35 \times  \frac{4}{7}  <  \frac{12}{5}  \times 35 \\ simplify \\ 35x \times 5 \times 4 < 12 \times 7 \\ 35x \times 20 < 84 \\ 700x < 84 \\  \frac{700}{700} x <  \frac{84}{700 }  \\ x <  \frac{84}{700} or \: 0.12

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Lines AB and CD and are parallel. Find the measures of the three angles in triangle ABF.
Airida [17]

Answer:    ∠B = 42°   ∠A = 23°  ∠F = 115°

Step-by-step explanation:

∠B≅∠C  alternate interior angles  42°

  ∠CDF is supplementary to ∠CDE,

so m∠CDF = 23°  and ∠FAB≅∠CDF so m∠FAB= 23°

<em>also ∠A ≅ CDE  corresponding angles  157° ∠FAB is suplementary to ∠A </em>

<em>so 180 - 157 = 23 gives the m∠FAB</em>

The sum of the angles of a triangle is 180°, so m∠AFB = 180 -(23 +42)

180- 65 = 115 = m∠F

3 0
3 years ago
Kate paid $27 for a dress that was on sale for 10% off. What was the original price of this dress?
Luba_88 [7]
The best way to go about this questions is to write out a formula in which x represents the original price of the dress: x*0.90=27. To see where the 0.90 came from, if Kate's dress was 10% off, she must have paid 90% of the original price (100%-10%=90%). Then, to convert a percentage to a decimal, move the decimal point twice to the left so 90% becomes 0.90. Then, our formula essentially means that 90% of some number (x) is equal to 27. To solve for x, divide both sides of the formula by 0.90 to get x=$30 which is the final answer.

I hope this helps.
8 0
2 years ago
Read 2 more answers
What is the dimension of this matrix?
UNO [17]

Answer:

4 by 3 matrix.

Step-by-step explanation:

In the matrix, there are 4 rows of numbers and 3 columns of numbers.

7 0
3 years ago
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A submarine travels 8.3 km due North from its base and then turns and travels due West for 13.9 km.
olga_2 [115]

Answer:

He is 5.6 km away

Step-by-step explanation:

he starts traveling away from base and is 8.3 km away to start with

then he turns west and travels 13.9 km away

what this mean is that you have to subtract the distance he turned from the distance he started off with

ex: 13.9 - 8.3 = 5.9

to get your answer of how far away he is from the base

5 0
2 years ago
Suppose an investment of $6,600 doubles in value every 8 years. How much is the investment worth after 40 years?
vlada-n [284]

Answer:

264,000

Step-by-step explanation:

6,600

x     40

_______

264,000

6 0
2 years ago
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