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Pie
3 years ago
11

Sara had some candy in her pocket. She first kept 2 pieces herself and then gave her 5 children 3 pieces each. If she didn't hav

e any candy left over, how many pieces of candy did she start with
Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
5 0

17 pieces. She had two and she had to have 15 to give to the children. If each child got 3 and there is 5. This turns into 3*5=15. Then you would add 15+2 to get 17

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A garden has a circular border and a fountain in the center. I measured the distance from one side of the garden to the other, g
Snezhnost [94]

Answer:

The length of the border is approximately 4 feet.

Step-by-step explanation:

Since the garden has a circular border we can apply the formula for the circle's length, which is shown below:

length = 2*\pi*radius

Where the radius is half the diameter. The diameter is the distance between two points in the circle going through the center, therefore for this garden the diameter is 1.2 feet and the radius is 0.6 feet. Applying this to the formula gives us:

length = 2*\pi*0.6\\length = 1.2*\pi\\length = 3.8

The length of the border is approximately 4 feet.

7 0
4 years ago
Mona wants to run more than 60 miles this week. She ran a total of 24 miles during the first 4 days of the week. ... Line repres
andreyandreev [35.5K]

Answer: Rate > 12 miles/day

x > 12

She must run more than 12 miles each day

Mona wants to run more than 60 miles this week. She ran a total of 24 miles during the first 4 days of the week. Which number line represents the number of miles Mona must run each day if she wants to meet her goal?

answer choices

x ≥ 10

x = 12

x > 10

x > 12

Step-by-step explanation:

To complete more than 60 miles a week.

After running 24 miles during the first 4 days

We are left with (7-4) days = 3 days

And also,

(60-24) miles to complete the weekly target

> 36 miles (more than 36miles)

Therefore, the number of miles needed to cover per day in the next 3 days is given as.

Rate > distance/time

Rate > 36miles/3days

Rate > 12 miles/day

7 0
3 years ago
The graph shows the results of a race between Peter and Stuart. Both boys begin the race at the same time.
Drupady [299]

Answer:it would be the 2nd , 3rd, 5th,

one

Step-by-step explanation:

5 0
3 years ago
Rationalise:<br>(1)              4/(2+root3+root7)<br>(2)              4/(2root3+root5)
Temka [501]
\frac{4}{2+\sqrt3+\sqrt7}\cdot\frac{2-(\sqrt3+\sqrt7)}{2-(\sqrt3+\sqrt7)}=\frac{8-4\sqrt3-4\sqrt7}{2^2-(\sqrt3+\sqrt7)^2}=\frac{8-4\sqrt3-4\sqrt7}{4-3-2\sqrt{3\cdot7}-7}\\\\=\frac{8-4\sqrt3-4\sqrt7}{-6-2\sqrt{21}}=\frac{-2(2\sqrt3+2\sqrt7-4)}{-2(3+\sqrt{21})}=\frac{2\sqrt3+2\sqrt7-4}{3+\sqrt{21}}\cdot\frac{3-\sqrt{21}}{3-\sqrt{21}}\\\\=\frac{6\sqrt3-2\sqrt{63}+6\sqrt7-2\sqrt{147}-12+4\sqrt{21}}{3^2-(\sqrt{21})^2}=\frac{6\sqrt3-2\sqrt{9\cdot7}+6\sqrt7-2\sqrt{49\cdot3}-12+4\sqrt{21}}{9-21}

=\frac{6\sqrt3-6\sqrt7+6\sqrt7-14\sqrt3-12+4\sqrt{21}}{-12}=\frac{-8\sqrt3+4\sqrt{21}-12}{-12}=\frac{-4(2\sqrt3-\sqrt{21}+3)}{-12}\\\\=\frac{2\sqrt3-\sqrt{21}+3}{3}

==============================================================

\frac{4}{2\sqrt3+\sqrt5}\cdot\frac{2\sqrt3-\sqrt5}{2\sqrt3-\sqrt5}=\frac{8\sqrt3-4\sqrt5}{(2\sqrt3)^2-(\sqrt5)^2}=\frac{8\sqrt3-4\sqrt5}{4\cdot3-5}=\frac{8\sqrt3-4\sqrt5}{12-5}\\\\=\frac{8\sqrt3-4\sqrt5}{7}
4 0
4 years ago
Read 2 more answers
A slice is made perpendicular to the base of a right rectangular prism as shown.
Lilit [14]
The length of the 2D cross-section = 22cm

Breadth of 2D cross-section = 12cm

Since it's inside a rectangular prism, it's area will be given by the formula of area of a rectangle.

→ Area of 2D cross-section = 22×12 = 264 cm²
4 0
3 years ago
Read 2 more answers
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