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2 years ago

On a recent survey, 60% of those surveyed indicated that they preferred hamburgers over pizza?

Mathematics

2 answers:

Elina [12.6K]2 years ago

8 0

900 people preferred hamburgers.

julia-pushkina [17]2 years ago

5 0

540/x=60/100

cross multiply

60x=54,000 then

60x/60=54,000/60

x=900

so 900 people preferred hamburger

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Felipe planted some seeds for a science project. One of his plants grew 6 2/7 inches in the first week, and then it grew 5 11/14

MatroZZZ [7]

Answer:

The plant grew $12\frac{1}{14}$ inches

Step-by-step explanation:

Operations with Fractions

Felipe planted seeds for a science project. One of the plants grew 6 2/7 inches in the first week and 5 11/14 inches in the second week.

We are required to find the total growth during the two weeks. We have to find the sum of:

$6\frac{2}{7}+5\frac{11}{14}$

Let's convert both fractions to improper form:

$6\frac{2}{7}+5\frac{11}{14}=6+\frac{2}{7}+5+\frac{11}{14}$

Adding the integers:

$6\frac{2}{7}+5\frac{11}{14}=11+\frac{2}{7}+\frac{11}{14}$

Now we find the LCM of 7 and 14 is 14, thus:

$6\frac{2}{7}+5\frac{11}{14}=11+\frac{4}{14}+\frac{11}{14}$

$6\frac{2}{7}+5\frac{11}{14}=11+\frac{15}{14}=11+\frac{14+1}{14}$

$6\frac{2}{7}+5\frac{11}{14}=11+1+\frac{1}{14}$

$6\frac{2}{7}+5\frac{11}{14}=12+\frac{1}{14}$

Rewriting as a mixed number:

The plant grew $12\frac{1}{14}$ inches

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1 year ago

Triangle J K L is shown. Angle J K L is a right angle. An altitude is drawn from point K to point M on side L J to form a right

kompoz [17]

Answer:

$LJ=15\ units$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the length side KJ

In the right triangle JKM

Applying the Pythagoras Theorem

$KJ^{2}=JM^{2}+KM^{2}$

we have

$JM=3\ units$

$KM=6\ units$

substitute

$KJ^{2}=3^{2}+6^{2}$

$KJ^{2}=45}$

$KJ=\sqrt{45}\ units$

simplify

$KJ=3\sqrt{5}\ units$

step 2

Find the value of cosine of angle MJK in the right triangle JKM

$cos(JKM)=JM/KJ$

substitute the values

$cos(JKM)=\frac{3}{3\sqrt{5}}$

simplify

$cos(JKM)=\frac{\sqrt{5}}{5}$ -----> equation A

step 3

Find the value of cosine of angle MJK in the right triangle JKL

$cos(JKM)=KJ/LJ$

we have

$KJ=3\sqrt{5}\ units$

$cos(JKM)=\frac{\sqrt{5}}{5}$ ----> remember equation A

substitute the values

$\frac{\sqrt{5}}{5}=\frac{3\sqrt{5}}{LJ}$

Simplify

$LJ=5(3)=15\ units$

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Flura [38]

Answer:

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Step-by-step explanation:

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So, the only option left is the height of the cylinder, which is the correct answer.

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Answer:

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Step-by-step explanation: NANI MULTIPLY

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