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Furkat [3]
3 years ago
9

Expression for "the sum of a and 4'

Mathematics
2 answers:
Masteriza [31]3 years ago
5 0
Answer: a + 4
explanation: sum means what comes from two numbers being added. so you just need to add a and 4
Bad White [126]3 years ago
5 0
Sum means add so it’ll be a + 4
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A 25-foot ladder is placed against a building. The bottom of the ladder is 7 feet from the building. If the top of the ladder sl
algol [13]

Answer:

As per the statement:

A 25-foot ladder is placed against a building. The bottom of the ladder is 7 feet from the building.

⇒Length of the ladder against a building = 25 foot

and Length of the bottom of the ladder from the building= 7 feet.

You had Before the slip.

Let x be the height of the building where ladder hits the building

By Pythagoras theorem:

\text{Hypotenuse side}^2=\text{Perpendicular}^2+\text{Base}^2

Here, Perpendicular side = Height of the building = x ,  Base = Length of the bottom of the ladder from the building = 7 foot and Hypotenuse side = 25 foot

Substitute the value to solve for x;

25^2=x^2+7^2

625=x^2+49

or

x^2 = 625-49 = 576

x = \sqrt{576} = 24 foot.

⇒Height of the building = 24 foot

Now, if the ladder slips down 4 feet.

You had after slip

⇒Now, the height of the building becomes = 24-4 = 20 foot.

Let y be the distance from the building wall

then by Pythagoras theorem;

y^2+20^2 = 25^2

y^2+400 =625

y^2 = 625-400 = 225

y=\sqrt{225} = 15 foot.

We have to find how many feet will the bottom slide out.

Since, Originally the distance of the bottom from the building = 7 foot

And now, the distance is = 15 foot.

The bottom slide out will be = 15 - 7 =8 foot

Therefore, 8 feet will the bottom slide out

6 0
3 years ago
Halim makes a profit of 120% on his cost price by selling a pair of shoes of $45. i) Find the cost pricer of the pair of shoes i
Rus_ich [418]

Answer:

a. $20.45

b. $24.55

c. $4.55

Step-by-step explanation:

In this question, we are asked to calculate the cost price and profit or loss selling a pair of shoes.

we proceed as follows

Firstly, we want to find the cost price given the selling price and the mark up percentage.

mathematically;

profit =( selling price - cost price)/cost price * 100%

here our profit is 120% with the cost price being $45. we plug these values

120 = 45-cp/cp * 100%

120cp = 100(45-cp)

120cp = 4500 -100cp

220cp = 4500

cp = 4500/220 = $20.45

His profit is selling price - cost price = 45 - 20.45 = $24.55

His profit selling same shoe for $25 is 25-20.45 = $4.55

4 0
3 years ago
Read 2 more answers
What is the value of 6 in 70,681? Explain how you know.
Dafna11 [192]

Answer:

it's 100

Step-by-step explanation:

70000

0000

600

80

1

I don't know if you understand

6 0
2 years ago
Dude is making 12 pounds of nut mixture with macadamia nuts and almonds. Macadamia nuts cost $9 per pound and almonds cost $5.25
pshichka [43]

Number of pounds of macadamia nuts is 8 pounds and number of pounds of almonds is 4 pounds.

<u>Step-by-step explanation:</u>

Step 1:

Given total pounds of mixture = 12 pounds, cost of macadamia nuts per pound = $9, cost of almonds per pound = $5.25, total cost of mixture per pound = $7.75.

Let number of pounds of macadamia nuts be x and number of pounds of almonds be 12-x.

Step 2:

Form an equation using the above information.

⇒ 9x + 5.25 (12-x) = 12 × 7.75

⇒ 9x + 63 - 5.25x = 93

⇒ 9x - 5.25x = 30

⇒ 3.75x = 30

⇒ x = 8

Number of macadamia nuts is 8 pounds.

Step 3:

Calculate number pounds of almonds

⇒ Number of pounds of almonds = 12 - x = 4 pounds.

5 0
3 years ago
Math questions!! you will get brainly!
mamaluj [8]
Drag the tiles to the correct boxes to complete the pairs.
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3 years ago
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