The mean temperature change is −3.2°F

Tanya [424]

#2: 4 cans : $2.36 = 13 : $7.67 SCALE FACTOR: $7.67 divided by $2.36 = 3.25
Use the SF to multiply the missing information.
So 4 cans x 3.25 = 13

YOU CAN BUY 13 CANS FOR $7.67

#4: 2 eggs: 1 1/2 cups of eggs : 10 pancakes = : : 35 pancakes

SCALE FACTOR: 35 pancakes divided by 10 pancakes= 3.5
Use the SF to multiply the missing information
So: 2 eggs x 3.5 = 7

7 EGGS WILL BE NEEDED TO MAKE 10 PANCAKES

#6: 54 pounds: 1 acre = pounds: 12.5 acres

SCALE FACTOR: 12.5 divided by 1 acre= 12.5
Use the SF to find out the mussing information
So, 54 pounds x 12.5 = 675 pounds

THE FARMER CAN HARVEST 675 POUNDS WITH 12.5 ACRES OF FIELD

#8: 90 miles: 120 minutes (5 hours) = 225 miles : 300 minutes (5 hours)

SCALE FACTOR: 225 miles divided by 90 miles = 2.5
Use the SF to figure out the missing information
So, 120 minutes multiplied by 2.5 = 300 minutes (5 hours)

IT WILL TAKE 5 HOURS TO DRIVE 225 MILES

4 0

3 years ago

The solution of a+b>−4 is a>−9. What is the value of b?

Lynna [10]

Answer:

b is greater than or equal to 5

5 0

2 years ago

Solve for x. x + 1 = 2 Ox= 1/4 O x= 1/2 O x = -1/2 0 x = -1/4

Bogdan [553]

Answer:

x=-1/2

Step-by-step explanation:

7 0

3 years ago

In triangle EFG, angle E equals 8x-16, angle F equals x+8, and angle G equals 2x-10. What is the value of x?

Stels [109]

Answer: The value of x= 18

Step-by-step explanation:

Given: In triangle EFG, angle E equals 8x-16, angle F equals x+8, and angle G equals 2x-10.

The sum of all angles of a triangle is 180°.

Therefore, in triangle EFG

∠E + ∠F +∠G= 180°

⇒ 8x-16 +x+8+ 2x-10 = 180

⇒ 11x-18= 180

⇒ 11x = 180+18

⇒11x=198

⇒ x= 18 [Divide both sides by 11]

Hence, the value of x= 18

6 0

2 years ago

Each year for 4 years, a farmer increased the number of trees in a certain orchard by of the number of trees in the orchard the

Neko [114]

Answer:

The number of trees at the begging of the 4-year period was 2560.

Step-by-step explanation:

Let’s say that x is number of trees at the begging of the first year, we know that for four years the number of trees were incised by 1/4 of the number of trees of the preceding year, so at the end of the first year the number of trees was $x+\frac{1}{4} x=\frac{5}{4} x$ , and for the next three years we have that

Start End

Second year $\frac{5}{4}x$ -------------- $\frac{5}{4}x+\frac{1}{4}(\frac{5}{4}x) =\frac{5}{4}x+ \frac{5}{16}x=\frac{25}{16}x=(\frac{5}{4} )^{2}x$

Third year $(\frac{5}{4} )^{2}x$ ------------- $(\frac{5}{4})^{2}x+\frac{1}{4}((\frac{5}{4})^{2}x) =(\frac{5}{4})^{2}x+\frac{5^{2} }{4^{3} } x=(\frac{5}{4})^{3}x$

Fourth year $(\frac{5}{4})^{3}x$ -------------- $(\frac{5}{4})^{3}x+\frac{1}{4}((\frac{5}{4})^{3}x) =(\frac{5}{4})^{3}x+\frac{5^{3} }{4^{4} } x=(\frac{5}{4})^{4}x.$

So the formula to calculate the number of trees in the fourth year is

$(\frac{5}{4} )^{4} x,$ we know that all of the trees thrived and there were 6250 at the end of 4 year period, then

$6250=(\frac{5}{4} )^{4}x$ ⇒ $x=\frac{6250*4^{4} }{5^{4} }= \frac{10*5^{4}*4^{4} }{5^{4} }=2560.$

Therefore the number of trees at the begging of the 4-year period was 2560.

7 0

3 years ago