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3 years ago

What is the value of 2×[34−5×(3+1)] ?

Mathematics

1 answer:

spayn [35]3 years ago

4 0

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{28}}}}}$

Step-by-step explanation:

Use BODMAS rule :

Bracket , Of , Division , Multiplication , Addition , Subtraction

$\sf{2 \times [ 34 - 5 \times (3 + 1) ] }$

Add the numbers : 3 and 1

$\dashrightarrow{ \sf{2 \times [ 34 - 5 \times 4 ] }}$

Multiply the numbers : 5 and 4

$\dashrightarrow{ \sf{2 \times [ 34 - 20 \: ] }}$

Subtract 20 from 34

$\dashrightarrow{ \sf{2 \times 14}}$

Multiply the numbers : 2 and 14

$\dashrightarrow{ \sf{28}}$

Hope I helped!

Best regards! :D

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Celeste is making fruit baskets for a local hospital. The directions say to use 5 apples for every 6 oranges. Celeste is filling

MariettaO [177]

Answer:

A. Equivalent ratios of 5:6

We multiply both the numerator and the denominator by the same number, this way:

10:12 , 15:18, 20:24, 25:30

B. Equivalent ratios of 2:3

We multiply both the numerator and the denominator by the same number, this way:

4:6 , 6:9, 8:12, 10:15, 12:18

C. We have the same number of oranges at:

10:12 and 8:12

15:18 and 12:18

Like Celeste decided not to follow the directions, she's actually using less apples than expected to fill the baskets.

Step-by-step explanation:

1. Let's check all the information provided to answer the question correctly:

Ratio that the local hospital say to Celeste to use : 5 apples for every 6 oranges

Ratio that Celeste is actually using: 2 apples for every 3 oranges

2. Complete the tables to find equivalent ratios.

A. Equivalent ratios of 5:6

We multiply both the numerator and the denominator by the same number, this way:

10:12 , 15:18, 20:24, 25:30

B. Equivalent ratios of 2:3

We multiply both the numerator and the denominator by the same number, this way:

4:6 , 6:9, 8:12, 10:15, 12:18

3. Circle two columns, one in each table, in which the number of oranges is the same.

We have the same number of oranges at:

10:12 and 8:12

15:18 and 12:18

Like Celeste decided not to follow the directions, she's actually using less apples than expected to fill the baskets.

8 0

3 years ago

(20 pts!) if the base of the roof has length 40 feet and x=30, which of the following gives the height of the roof?

musickatia [10]

Answer:

23.094 ft approximately

(If you want your answer in a different format, let me know please.)

Step-by-step explanation:

I would have solve this using tangent since the side opposite to x is asked for and the adjacent side to side is given as having a measurement of 40 ft.

But I think they want you to use the formula:

$l=\frac{b}{\cos(x)}$ .

$l=\frac{40}{\cos(30)}$

Input into calculator:

$l=46.188$ (approximation)

l represents the length of the roof.

So we have l=46.188 and b=40.

We must use the Pythagorean Theorem to find the height,h, for of the roof.

l is the hypotenuse.

$h^2+40^2=46.188^2$

$h^2+1600=2133.331$

Subtract 1600 on both sides:

$h^2=533.331$

Take square root of both sides:

$h=23.094$

The answer is 23.094 feet for the height that roof reaches on the building.

I want to show you another way:

$\tan(x)=\frac{\text{opposite}}{\text{adjacent}}$

$\tan(30)=\frac{h}{40}$

Multiply both sides by 40:

$40\tan(30)=h$

Input into calculator:

$23.094=h$

I didn't do it this way because your problem suggested you use their formula to find the height.

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What is the value of ​2×[34−5×(3+1)]​ ?

What is the value of 2×[34−5×(3+1)] ?