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2 years ago

Ms. Owens has some pencils . She give 5 of them away. Now she has 13 pencils left. How many pencils did she start with?

Mathematics

1 answer:

serious [3.7K]2 years ago

8 0

Answer:

18 pencils

Step-by-step explanation:

she had 18 minus 5= 13 hope this helps

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Here is a triangular pyramid and its net.

galben [10]

Answer:

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. $\text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\$

${\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}$

b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

$\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}$

c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

$\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}$

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to Lateral Surface Area + Area of base

$\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\ mm^{2}$

Hence,

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

8 0

2 years ago

Divide. 0.36 324 Enter your answer in the box.

ludmilkaskok [199]

0.36 divided by 324 is 0.00111111

6 0

1 year ago

Omar, Hala and Lujain got paid a total of $240 for cleaning neighborhood cars. They split the money in the ratio of 5: 9: 10. Ho

Levart [38]

Answer:

Total amount Omar earn = $120

Step-by-step explanation:

Given:

Total amount Omar, Hala and Lujain got paid = $240

Ratio of money Omar, Hala and Lujain got paid = 5:9:10

Find:

Total amount Omar earn

Computation:

Total amount Omar earn = [Total amount Omar, Hala and Lujain got paid][Omar'ratio / Total ratio]

Total amount Omar earn = [240][5 / (5+9+10)]

Total amount Omar earn = [240][5 / (24)]

Total amount Omar earn = [24][5]

Total amount Omar earn = $120

5 0

2 years ago

Alexandria,a car dealer,earns 40% commission of her luxury vehicles sales. Last year,her sales were $480,000. What was the total

Oxana [17]

Answer:

$12,000,000

Step-by-step explanation:

To find her commission, create a proportion.

$\frac{40}{100}=\frac{480000}{x}$

To solve use cross multiplication.

40(x) = 100(480000)

40x = 48000000

x= 12,000,000

3 0

3 years ago

Read 2 more answers

Karana's mom bought her two items using a credit card. The first item cost $258, and the second item cost $372. Later, she retur

Lelu [443]

Answer:

View explanation.

Step-by-step explanation:

The question isn't clear on whether or not you are asking if the mom or if the store is owing money to the credit card company. The store owes the full amount paid. The mom owes nothing. You can look at the images for a more detailed explanation, but it is not really needed.

Images from https://www.creditcardinsider.com/blog/happens-credit-card-bill-make-return/

7 0

2 years ago