What is the value of the expression 8−2 ? 116 64 −16 164

Can someone help me with these problems? The majority of them I have answers but I don't understand them. Thanks!

zaharov [31]

Question 1:

The area of the triangle is $9\frac{5}{8}$ cm², if you want it rounded to the nearest whole number it will be 10 cm²

Question 2:

The area of the parallelogram is 304.5 m²

Question 3:

The ratio of grilled chicken salads sold to the total number of lunches sold is 1 : 3 in the simplest form

Question 4:

The ratio of odd to even digits in the following number: 7,208,631

is 3 : 4

Question 5:

5 tons is equal to 10,000 pounds

Question 6:

A table measures 3 feet across is 36 inches across

Step-by-step explanation:

Question 1:

The formula of the area of a triangle is $A=\frac{1}{2}bh$ , where

b is the base of the triangle
h is the height of the triangle

∵ The base of the triangle = $5\frac{1}{2}$ cm

∵ The height of the triangle = $3\frac{1}{2}$ cm

- Change the mixed numbers to improper fractions

∵ $5\frac{1}{2}$ = $\frac{(5*2)+1}{2}=\frac{11}{2}$

∵ $3\frac{1}{2}$ = $\frac{(3*2)+1}{2}=\frac{7}{2}$

∴ $A=\frac{1}{2}(\frac{11}{2})(\frac{7}{2})=\frac{77}{8}$ cm²

- To change the improper fraction to mixed number divide 77 by 8

∵ 77 ÷ 8 = 9 and remainder 5 (8 × 9 = 72 , 77 - 72 = 5)

∴ 77 ÷ 8 = $9\frac{5}{8}$

∴ $A=9\frac{5}{8}$ cm²

The area of the triangle is $9\frac{5}{8}$ cm²

If you want to round it to the nearest whole number the area will

be 10 cm²

Question 2:

The formula of the area of a parallelogram is A = b h , where

b is the base of the parallelogram
h is the height of this base of the parallelogram

∵ The base of the parallelogram = 14.5 m

∵ Its height = 21 m

∵ A = b h

∴ A = 14.5 × 21 = 304.5 m²

The area of the parallelogram is 304.5 m²

Question 3:

∵ The cafeteria sold 200 grilled cheese sandwiches, 100 tacos, and

150 grilled chicken salads

∴ The cafeteria sold = 200 + 100 + 150 = 450 lunches

- To find the ratio between the grilled chicken salads sold to the total

number of lunches sold divide them and simplify the answer to the

lowest term

→ G.C.S : Lunches

→ 150 : 450 ⇒ divide both by 10

→ 15 : 45 ⇒ divide both by 5

→ 3 : 9 ⇒ divide both by 3

→ 1 : 3

The ratio of grilled chicken salads sold to the total number of lunches sold is 1 : 3 in the simplest form

Question 4:

The even numbers are the numbers whose one digit is 0 , 2 , 4 , 6 , 8

The odd numbers are the numbers whose one digit is 1 , 3 , 5 , 7 , 9

∵ The number is 7,208,631

∵ The odd digits are 7 , 3 , 1

∴ There are 3 odd digits

∵ The even numbers are 2 , 0 , 8 , 6

∴ there are 4 even digits

∴ The ratio of odd to even digits is 3 : 4

The ratio of odd to even digits in the following number: 7,208,631

is 3 : 4

Question 5:

∵ One ton is equal to 2000 pounds

∵ There are 5 tons

→ Ton : Pound

→ 1 : 2000

→ 5 : x

Use the cross multiplication

∵ 1 × x = 5 × 2000

∴ x = 10,000 pounds

5 tons is equal to 10,000 pounds

Question 6:

∵ A table measures 3 feet across

∵ 1 foot = 12 inches

∴ 3 × 12 = 36 inches

A table measures 3 feet across is 36 inches across

Learn more:

You can learn more about ratio in brainly.com/question/10781917

#LearnwithBrainly

6 0

4 years ago

The sum of two consecutive integers is 65. what are the two integers? show steps please.

Gnoma [55]

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the two integers, given that they are consecutive, and their sum is 65.

$\triangle~\fbox{\bf{KEY:}}$

Consecutive integers are right next to each other, like 12 and 13. or 65 and 66.

Let the first integer be x, and let the second integer be x+1.

Their sum is 65. Let's set up our equation:

$\longmapsto\sf{x+x+1=65}$

Combine like terms:

$\longmapsto\sf{2x+1=65}$

Subtract 1 from both sides of the equal sign:

$\longmapsto\sf{2x=64}$

Divide both sides by 2:

$\longmapsto\sf{x=32}$

To find the second integer, subtract the first integer from the sum of the two integers:

$\longmapsto\pmb{65-32}$

$\longmapsto\pmb{33}$

The integers are: 33 and 32.

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

7 0

2 years ago

A multiple choice exam consists of 10 questions, each having 5 possible answers. To pass, you must answer at least 6 out of 10 q

prohojiy [21]

You have a 1:2 chance of guessing the right answer, if you have to guess between the two.

6 0

3 years ago

Can someone help me and explain it to me

Alex_Xolod [135]

Answer:

1) 6

2)4

3)27

4)126

5)15

Step-by-step explanation:

1. We need to see how many 8-miles are in 24 miles, than multiple it with 2in.

(24/8)*2=3*2=6in

2. Fist we calcue how many 17-feets are in 68feets, and multiple that with 1in.

(68/17)*1=4

3. We first see how many 3ins are in 9ins, and than multiple that with 9feet

(9/3)*9=3*9=27

4. First see how many 2ins are in 36ins, and then multiple it with 7.

(36/2)*7=18*7=126feet

5. See how many 15fts are in 75ft And than multiple it with 3.

(75/15)*3=5*3=15

4 0

4 years ago

Read 2 more answers

A box with a square base and no top is to be made from a square piece of carboard by cutting 4 in. squares from each corner and

Lunna [17]

Answer:

$C=27inch\ by\ 27inch$

Step-by-step explanation:

Squares $h=4inch$

Volume $v=1444in^3$

Generally the equation for Volume of box is mathematically given by

$V=l^2h$

$1444=l^2*4$

$l^2=361$

$l=19in$

Since

Length of cardboard is

$l_c=19+4+4$

$l_c=27in$

Therefore

Dimensions of the piece of cardboard is

$C=27inch\ by\ 27inch$

7 0

3 years ago