Answer:
The answer is below
Step-by-step explanation:
The ratio of Keith's height and his nephew's height is 15:7. Let keith height be x cm and his nephews height be y cm.
Keiths height increased by 16% , therefore Keith new height is (100% + 16%) × x = 1.16x
The nephew height is doubled, therefore his new height is 2y.
Given that Keith is now 34 cm taller than his nephew
1.16x = 2y + 34
but x = (15/7)y
The nephews new height = 2y = 2(70) = 140 cm
Keith new height = 2y + 34 = 140 + 34 = 174 cm
Their total current height = 140 cm + 174 cm = 314 cm
<span>Simplifying
4(x + -3) = 7x + 24
Reorder the terms:
4(-3 + x) = 7x + 24
(-3 * 4 + x * 4) = 7x + 24
(-12 + 4x) = 7x + 24
Reorder the terms:
-12 + 4x = 24 + 7x
Solving
-12 + 4x = 24 + 7x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7x' to each side of the equation.
-12 + 4x + -7x = 24 + 7x + -7x
Combine like terms: 4x + -7x = -3x
-12 + -3x = 24 + 7x + -7x
Combine like terms: 7x + -7x = 0
-12 + -3x = 24 + 0
-12 + -3x = 24
Add '12' to each side of the equation.
-12 + 12 + -3x = 24 + 12
Combine like terms:
-12 + 12 = 0
0 + -3x = 24 + 12
-3x = 24 + 12
Combine like terms: 24 + 12 = 36
-3x = 36
Divide each side by '-3'.
x = -12
Simplifying
x = -12</span>
Answer:
19, 22
Step-by-step explanation:
Because this is an arithmetic sequence, we know there is a constant difference between each value.
To find that difference, lets take two consecutive values, (10 and 13) and subtract them.
13 - 10 = 3
We see the same number if we used
16 - 13 = 3
So the pattern here, is each number + 3.
16 + 3 = 19
19 + 3 = 22
22 + 3 = 25
etc.
Answer:
The main difference between descriptive and inferential statistics is that descriptive statistics describe what the data show whereas with inferential statistics the goal is to reach conclusions that extend beyond the data in hand. Descriptive statistics are used to describe or summarize data in hand from a sample or a population.
Step-by-step explanation:
<span>128.34 written as a mixed number is 128 17/50</span>
