A chef uses 1/2 cup of cheese for a small pizza. There are 6 grams of fat in 1/4 cup of cheese.
Drag one expression next to each question. The correct expression for each row is a way to answer that question.
Drag one expression next to each question. The correct expression for each row is a way to answer that question. PLZZ help!!
Answers
Answer:
The correct options are;
1) How many grams of fat are in 1/2 cup of cheese = [tex]6 \div\dfrac{1}{4} \cdot \dfrac{1}{2}[/tex]
2) How many cups of cheese will the chef need to make 13 small pizzas = [tex]\dfrac{1}{2} \cdot 13[/tex]
3) How many small pizzas could the chef make if he has 3/4 cup of cheese is given as follows;
[tex]\dfrac{3}{4} \div \dfrac{1}{2}[/tex]
Step-by-step explanation:
1) How many grams of fat are in 1/2 cup of cheese
The number of grams of fat per 1/4 cup of cheese = 6 grams
Therefore;
The number of grams of fat per kilogram of cheese = 6/(1/4)
The number of grams of fat per 1/2 kilogram of cheese = 6/(1/4) × 1/2, which can be written as follows;
[tex]6 \div\dfrac{1}{4} \cdot \dfrac{1}{2}[/tex]
2) How many cups of cheese will the chef need to make 13 small pizzas
The number of cups of cheese per small pizza = 1/2 cup of cheese
Therefore, the number of cups of cheese in 1 small pizza = 1/2 × 13, which can be written as follows;
[tex]\dfrac{1}{2} \cdot 13[/tex]
3) How many small pizzas could the chef make if he has 3/4 cup of cheese is given as follows;
Given that 1/2 cup of cheese can make one small pizza
(1/2)/(1/2) = 1 cup of cheese can make 1/(1/2) small pizza
3/4 cup of cheese can make 3/4 × 1/(1/2) = (3/4)/(1/2) small pizza, which can be written as follows;
[tex]\dfrac{3}{4} \div \dfrac{1}{2}[/tex]
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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I need help will give crown
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Answer:
$15 per hour and he worked 5 hours yesterday.
Step-by-step explanation:
Since we know that the number of hours he works and know how much he got paid we need to look for how much he makes each hour.
Set up the equation like this.
7x=105
Divide by 7 to isolate the x
x=15
That means he makes 15 dollars per hour. For the 2nd part, we are looking for how many hours he worked. We know that he gets 15 dollars per hour so we can set up the equation like this.
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That means he worked 5 hours yesterday.
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Answer:
He worked approximately 4-5 hours because when he worked 7 hours a day he earned 105 dollars that means he made 15 dollars an hour so he only worked 4-5 hours that day and he made 75 dollars.
Step-by-step explanation:
This is a short answer so u dont have to write that much.
PLEASE I NEED AN ANSWER NOW WILL MARK U BRAINLIEST!!!1!
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Answer:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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1. An arc has a central angle of 1.8 radians and a radius of 20 inches. a. Determine the length of AB in inches
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Answers
Answer:
Question 3)
[tex]\stackrel{\frown}{AC}=36\text{ inches}[/tex]
[tex]\angle BCA\approx103^\circ[/tex]
Question 1)
[tex]\stackrel{\frown}{AB}\approx 8.9\text{ cm}\\[/tex]
[tex]A\approx44.5\text{ cm}^2[/tex]
Step-by-step explanation:
Question 3)
We are given that the central angle is 1.8 radians and has a radius of 20 inches.
Part A)
The formula for arc length in terms of radians is given by:
[tex]s=r\theta[/tex]
Where s is the arc length, r is the radius, and θ is the angle in radians.
In this case, r is 20 and θ is 1.8. Hence, the arc length is:
[tex]\stackrel{\frown}{AC}=(20)(1.8)=36\text{ inches}[/tex]
Part B)
∠BCA is the central angle that measures 1.8 radians.
We can convert radians to degrees using the following formula:
[tex]\displaystyle d=\theta\cdot\frac{180^\circ}{\pi}[/tex]
Where d is the measure in degrees, and θ is the measure in radians.
Therefore:
[tex]\displaystyle d=1.8\cdot\frac{180^\circ}{\pi}\approx103.1324\approx103^\circ[/tex]
Question 1)*
Part A)
We will use the arc length formula in degrees given by:
[tex]\displaystyle s=2\pi r\cdot \frac{\theta^\circ}{360}[/tex]
Where r is the radius and θ is the angle measured in degrees.
We have a radius of 10 centimeters and a central angle of 51°. Therefore, our arc length is:
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Part B)
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For this question, it is possible and completely fine for us to convert 51° to radians and then use the formulas in terms of radians.
Answer:
(1). 36 inch. , 103° ; (2). 8.9 cm , 44.5 cm² ;
Step-by-step explanation:
1).
(b). m∠BCA = 1.8 rad. × [tex]\frac{180}{\pi }[/tex] ≈ 103° ( π ≈ [tex]\frac{22}{7}[/tex] )
(a). C = 2 π r , the length of arc AB = ( 2 × [tex]\frac{22}{7}[/tex] × 20 ) ÷ 360° × 103.132° ≈ 36 inches
3).
(a). The length of arc AB = ( 2 × [tex]\frac{22}{7}[/tex] × 10 ) ÷ 360° × 51° ≈ 8.9 cm
(b). A = π r² , the area of the sector = ( [tex]\frac{22}{7}[/tex] × 10² ) ÷ 360° × 51° ≈ 44.5 cm²
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Answers
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Answers
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Answers
Step-by-step explanation:
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Answers
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12+3i-2
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10+3i
Answer: 10+3i
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation: