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2 years ago

Solve for x & round the answer to the nearest tenth

Mathematics

2 answers:

diamong [38]2 years ago

3 0

6/14 = 7/x
so
x = 7 * 14 / 6
x = 98/6
x = 16.3

answer
D. x = 16.3

Ad libitum [116K]2 years ago

3 0

The large triangle & the small one are similar, since their respective bases are parallel. Then we can write:

(8+6)/6 = x/7. and 14/6 = x/7 or 7/3 = x/7 . Cross multiplication:

7/3 = x/7 → 3x = 49 → x = 49/3 → x = 16.3 (Answer D)

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Name two solutions for each inequality.

ahrayia [7]

So,

#1: $n \geq 3 \frac{11}{16} + 4 \frac{1}{2}$

Convert to like improper fractions.
$n \geq \frac{59}{16} + \frac{72}{16}$

Add.
$n \geq \frac{131}{16}\ or\ 8 \frac{3}{16}$

So, one solution could be $8 \frac{3}{16}$ .

Another solution could by 9. There is also 10, 11, 12, etc., and all numbers in between.

#2: $k \ \textless \ 6 \frac{2}{5} * 15$

Convert into improper fraction form.
$k \ \textless \ \frac{32}{5} * 15$

Multiply.
$\frac{(2^5)(3)(5)}{5}$

Cross-cancel, and we have our final result.
$(2^5)(3) = 96$
k < 96

96 is not a solution.

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So is 94, 93, 92, etc, and all numbers in between.

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2 years ago

What are the equivalent ratios shown in the table?

GarryVolchara [31]

Answer:

These are all equivalent to the ratio of 1:2

Step-by-step explanation:

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2 years ago

A student rolls a standard number cube. What is the probability the student rolled a 4. given that the number rolled was

Debora [2.8K]

Answer:

Step-by-step explanation:

Because on a dice there are only 6 sides meaning there is a 1/6 chance of you to role a 4

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2 years ago

Is 73 a prime number

lora16 [44]

Hi there,

73 indeed a prime number

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3 years ago

The length of a rectangle exceeds the breadth by 8 cm. Find the area of the rectangle, if its perimeter is 180 cm

sergiy2304 [10]

Answer:

2009cm^2

Step-by-step explanation:

Given data

let the length be L

and the width be w

w= x

L=x+8

P= 180cm

P= 2L+2W

180= 2(x+8)+2(x)

180= 2x+16+2x

collect like terms

180= 4x+16

180-16= 4x

164= 4x

x= 164/4

x=41

W= 41cm

L= 41+8

L= 49cm

A= L*W

A=49*41

A=2009cm^2

Hence the area is 2009cm^2

3 0

2 years ago