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2 years ago

14

A small bowl of vanilla ice cream may contain 108 calories from fat alone. If 1 gram of fat is equivalent to 9 calories, how man

y grams of fat are in the small bowl of ice cream?

1 answer:

Jobisdone [24]2 years ago

6 0

12 grams of fat. 108 fat calories divided by 9 fat calories is 12.

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Need help with this one.

ella [17]

Answer:

The answer should be 55

Step-by-step explanation:

All triangles must = 180

70+55+55 = 180

6 0

2 years ago

Read 2 more answers

If the variance of the water temperature in a lake is 30°, how many days should the researcher select to measure the temperature

Jet001 [13]

Answer: The number of days would be 7 days.

Step-by-step explanation:

Since we have given that

Variance = 30°

Standard deviation = √30 = 5.47

Mean = 4°

At 95% confidence, z = 1.96

So, number of days that the researcher select to measure the temperature would be

$n=(\dfrac{z\times \sigma}{error})^2\\\\n=(\dfrac{1.96\times 5.42}{4})^2\\\\n=7.053\\\\n=7$

Hence, the number of days would be 7 days.

3 0

3 years ago

The city of Paris, France, is completely contained within an almost circular road that goes around the edge. The radius of Paris

Firdavs [7]

Answer:

Area of Paris is approximately 28.26 square miles.

Step-by-step explanation:

Given:

Radius of Paris = 3 miles

We need to find the approximate area of Paris.

Also Given:

City of Paris has an almost circular road that goes around the edge.

hence Considering it as Circle we will find the area of circle.

Area of Circle is equal to π times square of the radius.

Framing it in equation form we get;

area of Paris = $\pi r^2$

Substituting the value of radius we get;

Area of Paris = $\pi \times r^2 = 3.14 \times3^2 = 28.26 \ miles^2$

Hence Area of Paris is approximately 28.26 square miles.

5 0

2 years ago

d = √ ( x 2 − x 1 ) 2 + ( y 2 − y 1 ) 2 Evaluate d if ( x 1 , y 1 ) = ( 0 , − 5 ) and ( x 2 , y 2 ) = ( 4 , − 3 ) . Leave your a

Semmy [17]

Answer:

$d=2\sqrt{5}$ units

Step-by-step explanation:

$\text{Distance, }d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\$If ( x_1 , y_1 ) = ( 0 , - 5 )$ and ( x_2 , y_2 ) = ( 4 , - 3 )\\\\d=\sqrt{(4-0)^2+(-3-(-5))^2} \\=\sqrt{4^2+(-3+5)^2}\\=\sqrt{4^2+2^2}\\=\sqrt{20}\\\\d=2\sqrt{5}$ units$

8 0

2 years ago

Having some trouble with these questions, how do I work them out?

matrenka [14]

5.

Let x be the age of the father and y be the age of the son. As of today, he's 3 times older, so we have $x=3y$

10 years ago their ages were, respectively, x-10 and y-10, and the father was 5 times older: $x-10 = 5(y-10)$

So, we have the system

$\begin{cases} x=3y\\x-10=5(y-10)\end{cases}$

Using the first equation, we can substitute every occurrence of "x" with "3y" in the second equation:

$3y-10=5(y-10) \iff 3y-10=5y-50 \iff 2y = 40 \iff y=20$

So, the son is 20 years old, which means that the father is 60 years old.

Indeed, 10 years ago they were 10 and 50 years old, so the father was 5 times older.

6.

Let x be the age of the grandfather and y the age of the granddaughter. We know that the grandfather is 10 times older: $x=10y$

He also is 54 years older: $x=y+54$

Again, if we substitute x=10y in the second equation we have

$10y=y+54 \iff 9y=54 \iff y=6$

7 0

2 years ago