Answer:
x=9 :))
Step-by-step explanation:
First set up your equation.
"3 times" is multiplication
"THE SUM of A NUMBER and seven" that is parenthesis because of the multiplication before it
"is increased by ten" that is an addition at the end
Now we have 3(x+7)+10=4
Solve your equation!
Distribute the 3 now we have 3x+21+10=4
Add like terms
now it should look like this... 3x+31=4
Subtract 31 from both sides and it looks like...
3x=27
Divide by the x-value
x=9
32 divde by 2 = 16 (50%)
32 divde by 10 = 3.2 (10%)
16 - 3.2 = 12.8 (40%)
3.2 times 4 = 12.4 (40%)
You would round the number to the nearest whole because you can't make a . of a shot. Therefore the answer would be that she made 12 shots.
Hope this helps!
<u>Answer:</u>
Below!
<u>Step-by step explanation:</u>
<u>We know that:</u>
<u>Solution of Question A:</u>
<u>Percent of children: Total children/Total attendance</u>
- => 400/1500
- => 4/15
- => 0.27 (Rounded to nearest hundredth)
- => 0.27 x 100
- => 27%
<u>Hence, the percent of children is about 27%.</u>
<u>Solution of Question B:</u>
<u>Percent of women: Total women/Total attendance</u>
- => 850/1500
- => 85/150
- => 17/30
- => 17/30 x 100
- => 17/3 x 10
- => 170/3
- => 56.67%
<u>Hence, the percent of women is 56.67%.</u>
<u>Solution of Question C:</u>
- 400 + 850 + m = 1500
- => 1250 + m = 1500
- => m = 1500 - 1250
- => m = 250
<u>Percent of men: Total men/Total attendance</u>
- => 250/1500
- => 1/6
- => 0.17 (Rounded to nearest hundredth)
- => 0.17 x 100
- => 17%
<u>Hence, the percent of men is about 17%</u>
Hoped this helped.

40 cm. Just divide the area by the length. Hope this helps!
Answer:
b² = a² + c² - 2ac cos B
Step-by-step explanation:
The cosine rule can be use when you are given three sides of a triangle and ask to find any angle or when you are given two sides and a included angles(the angle between the two sides given) and ask to find the length of a side.
The equation Sophia can use to solve for the side length(b) of a triangle when given two length and the included angle can be expressed below. Sophia was given two sides and an included angle and was asked to find a side length b.
For sides a, b and c the cosine rule can be represented below
a² = b² + c² - 2bc cos A
b² = a² + c² - 2ac cos B
c² = a² + b² - 2ab cos C
The equation required base on your question is
b² = a² + c² - 2ac cos B