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Marysya12 [62]
3 years ago
12

What is the value of x? Enter your answer in the box.

Mathematics
1 answer:
Grace [21]3 years ago
3 0
The shapes are similar.
When two figures are similar, the ratios of the lengths of their corresponding sides are equal.
Therefore,
\frac{42}{(15 + 42)} = \frac{x}{10 + x}

Simplify:
\frac{42}{57} = \frac{x}{10 + x}
Cross multiply:
42(10+x) = 57x
420 + 42x = 57x
420 = 57x - 42x
420 = 15x
x = (420÷15)
x = 28

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The math department is putting together an order for new calculators. The student are asked what model and color they prefer
kenny6666 [7]

Answer:

The second option

Step-by-step explanation:

Please find attached the complete question in the attached image

the proportion of students that like the silver calculator is 0.4 while the proportion of students that like the black calculator is 0.6. More students like the black calculator

the proportion of students that prefer the black model 77 calculator is 0.3 while the proportion of students that prefer the silver model 55 is 0.25. More students prefer the black model 77 calculator

the proportion of students that prefer the model 66 calculator is 0.15 while the proportion of students that prefer the model 55 calculator is 0.35. More students prefer the model 55

the fewest student prefer the silver model 66 calculator because it has the lowest proportion

8 0
3 years ago
What is the probability of picking an orange marble and flipping tails? ​ 1/7 1/14 2/14 8/14
vladimir2022 [97]

Answer:

Flipping tails would be 1/2 but how many marbles are there and how many orange ones are there?

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find the lateral area.<br>10 is the height.
VMariaS [17]

Answer:

The lateral surface area of a cuboid is 180 units² .

Option (c) is correct.

Step-by-step explanation:

Formula

Lateral surface area of a cuboid = 2hl + 2hb

Where h is the height , l is the length and b is the breadth.

As shown in the figure.

Length = 4 units

Breadth = 5 units

Height =  10 units

Put in the formula

Lateral surface area of a box = 2 × 10 × 4 + 2 × 10 × 5

                                                = 80 + 100

                                                = 180 units ²

Therefore the lateral area of the cuboid is 180 units² .

Option (c) is correct.

4 0
3 years ago
Mrs. Ameldo's class has 5 students with blue eyes, 7 with brown eyes, 4 with hazel eyes, and 4 with green eyes. Two students are
Vitek1552 [10]

Answer:

5/19

Step-by-step explanation:

There's no explanation, it's just common sense ‍♀️

7 0
3 years ago
Tina is ordering a pair of shoes that cost $123.99. If the sales tax is 8% and the shipping is $19.99, what is the total cost?
maksim [4K]
First you want to times 123.99 * 0.08
now round what you get (9.9192) to (9.92)
add that to 123.99 and then add 19.99 (Shipping)
The answer is $153.90
4 0
3 years ago
Read 2 more answers
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