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3 years ago

A box contains 3 red marbles, 6 blue marbles, and 1 white marble. What is the probability of getting blue and red

Mathematics

1 answer:

Paha777 [63]3 years ago

3 0

If you are looking to find the probability of choosing a blue or red marble, the answer is 9/10 or 90%.

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A construction company wants to build an auditorium on a trapezium shaped plot measuring 410m2. One of the parallel sides of the

Assoli18 [71]

Answer:

other parallel side is 23m

Step-by-step explanation:

Let's assume other parallel sides as 'x'

One of the parallel sides of the trapezium plot measure 18m

so, y=18

distance between the two parallel sides measure 20m

so, h=20

now, we can use area of trapezium formula

$A=\frac{1}{2}\times h \times (x+y)$

now, we can plug values

$A=\frac{1}{2}\times 20 \times (x+18)$

we can set A=410

and then we can solve for x

$410=\frac{1}{2}\times 20 \times (x+18)$

$10\left(x+18\right)=410$

$x+18=41$

$x=23$

6 0

4 years ago

Could 1.5, 2.5, 3.5 and 6, 10, 12 be the corresponding sides of two similar triangles

boyakko [2]

Answer:

Step-by-step explanation:

If the ratios of the corresponding sides are equal then they would be the sides of 2 similar triangles.

Calculate the ratio of corresponding sides.

$\frac{6}{1.5}$ = 4

$\frac{10}{2.5}$ = 4

$\frac{12}{3.5}$ ≠ 4

Thus the sides are not the corresponding sides of similar triangles.

4 0

3 years ago

Nathaniel builds birds and birdhouses using Lego blocks. Let BBB represent the number of birds and HHH represent the number of b

vladimir1956 [14]

Answer:

Step-by-step explanation:

Given that:

$43B+215H \leq 3000$

where:

B represents the number of birds
H represents the number of Birdhouses

Nathaniel wants to build 50 birds(B) using lego Blocks, we want to determine how many birdhouses(H) he can build with the remaining Lego blocks.

If B=50

$43(50)+215H \leq 3000\\2150+215H \leq 3000\\\text{Subtract 2150 from both sides}\\215H \leq 3000-2150\\215H \leq 850\\\text{Divide both sides by 215}\\H \leq 3.95$

Therefore, Nathaniel can build at most 3 Birdhouses.

8 0

3 years ago

The cost of making a shirt is half of what the shirt normally sells for. Today, the shirt is in a 15 percent discount from its n

Vaselesa [24]

Answer:

.85 times the cost to make the shirt

Step-by-step explanation:

Let x represent cost to make the shirt.

Today, the shirt is in a 15 percent discount from its normal price.

Discount = 15/100 * x = 0.15x

Current cost = Original cost - discount

Current cost = x - 0.15x = 0.85x

The answer is;

.85 times the cost to make the shirt

4 0

2 years ago

In the following equilateral triangle,<br> each angle has a measure of 10x + 20.<br><br> X=[? ]

maria [59]

Answer:

4°

Step-by-step explanation:

All the angles in a triangle add together to equal 180°. We know there are three angles of 20° so let's subtract this.

20° × 3 = 60°

180° - 60° = 120°

Now well divide 120° up among the three angles.

120° ÷ 3 = 40°

Now we know the angles are 40° + 20°, but we need to find the value of x, so divide 40° by 10

40° ÷ 10 = 4°

x = 4°

8 0

3 years ago

Read 2 more answers