Answer: No
Step-by-step explanation: she has $50
To find % you would multiply the original number by the percentage.
It would be 50*0.06 (percentages are simplified by dividing it by 100)
50*0.06=3
48.20+3=51.20
So the answer would be No Jessica does not have enough to buy the jacket.
Answer:
1. 121 π unit²
2. 143°
3. 151 unit²
Step-by-step explanation:
1.
Area of a circle is given by the formula A = πr²
where
A is the area,
r is the radius of the circle
From the given diagram, we can see that the radius is 11, hence the area will be:
![A=\pi r^2\\A=\pi (11)^2\\A=121\pi](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E2%5C%5CA%3D%5Cpi%20%2811%29%5E2%5C%5CA%3D121%5Cpi)
The answer is
units^2
2.
The unshaded secctor and the shaded sector equals the circle. We know that circle is 360°. The unshaded sector has an angle of 217°. So the shaded part will be 360 - 217 = 143°
The measure of the central angle of the shaded sector is 143°
3.
Area of a sector is given by the formula ![A=\frac{\theta}{360}*\pi r^2](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B%5Ctheta%7D%7B360%7D%2A%5Cpi%20r%5E2)
Where
is the central angle of the sector (in our case it is 143°)
r is the radius (which is 11)
Plugging in all the info into the formula we have:
![A=\frac{\theta}{360}*\pi r^2\\A=\frac{143}{360}*\pi (11)^2\\A=150.99](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B%5Ctheta%7D%7B360%7D%2A%5Cpi%20r%5E2%5C%5CA%3D%5Cfrac%7B143%7D%7B360%7D%2A%5Cpi%20%2811%29%5E2%5C%5CA%3D150.99)
<em>rounding to the nearest whole number, it is </em>151 units^2
15 house holds have a dog
Answer:
C. 10
Step-by-step explanation:
8*4 is 32
32/2 is 16
20-16 is 4
4+6 IS 10
Answer:
1. 1/2
2. 3/4
3. 1/6
4. 1/4
5. 7/4
6. 3/2
7. 5/1
8. 2/7
9. 1/4
Step-by-step explanation:
A ratio compares values.
So if there are 3 oranges and 12 apples, we can say that there is a ratio of 3 : 12 meaning there are 3 oranges for every 12 apples.
Ratios can be written in different ways, but they mean the same thing:
- Using the ":" to separate the values: 3 : 12
- Or using the word "to" to separate the values: 3 to 12
- or as a fraction:
![\frac{3}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B12%7D)
A ratio can also be scaled up or scaled down (as long as we do the same thing to both values):
- 3 : 12 is the same as 6 : 24 (multiplied both values by 2)
- 3 : 12 is the same as 1 : 4 (divided both values by 3)
1. 2 to 4 = 2 : 4 = 2/4
We can reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 2: 2/4 = 1/2
2. 15/20
Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 5:
15/20 = 3/4
3. 6 : 18 = 6/18
Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 6:
6/18 = 1/6
4. 3 to 12 = 3 : 12 = 3/12
Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 3:
3/12 = 1/4
5. 7 : 4 = 7/4
This fraction cannot be reduced any further as the numerator is a prime number. Prime numbers are whole number greater than 1 that cannot be made by multiplying other whole numbers.
6. 18/12
Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 6:
18/12 = 3/2
7. 35 : 7 = 35/7
Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 7:
35/7 = 5/1
(5/1 = 5 however the question is asking you to write the ratio in the lowest fraction, so the lowest fraction is 5/1)
8. 8/28
Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 4:
8/28 = 2/7
9. 24 : 96 = 24/96
Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 24:
24/96 = 1/4