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fiasKO [112]
3 years ago
14

The age of a father is 2 less than 7 times the age of his son. In 3 years, the sum of their ages will be 52. If the son’s presen

t age is s years, which equation models this situation?
Mathematics
1 answer:
Butoxors [25]3 years ago
6 0
S = the son's age
f = the father's age

In three years ,the sum of their ages will be 52.

(s + 3) + (f + 3) = 52 

The age of a father is 2 less than 7 times the age of his son.

<span>7s - 2 = f
</span>
<span />
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Which of the diagrams below represents the contrapositive of the statement "If it is an elm, then it is a tree"?
Murrr4er [49]

Answer:

Right

Step-by-step explanation:

For a contrapositive, we switch the hypothesis and conclusion and then negate it.

Switch

If it is a tree, then it is an elm

Negate

If it is not a tree, then it is not an elm.

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Right


7 0
3 years ago
Solve the following inequality for d. Write your answer in simplest form.
suter [353]

Answer:

d>67

Step-by-step explanation:

Let's solve your inequality step-by-step.

−50−(−9d+7)>−d+10+9d

Step 1: Simplify both sides of the inequality.

9d−57>8d+10

Step 2: Subtract 8d from both sides.

9d−57−8d>8d+10−8d

d−57>10

Step 3: Add 57 to both sides.

d−57+57>10+57

d>67

8 0
3 years ago
If the graph of the function h is defined by = h(x)+x^2+9 is translated vertically downward by 9 units, it becomes the graph of
natulia [17]
The answer is g(x) = x².
Solution:
The graph of h(x) = x²+9 translated vertically downward by 9 units means that each point (x, h(x)) is shifted onto the point (x, h(x) - 9), that is, 
     (x, h(x)) → (x, h(x) - 9)
The translated graph that represents the function is defined by the expression for g(x):
     g(x) = h(x) - 9 = x² + 9 - 9 = x²

h(x) = x²+9 → g(x) = x² shows that the graph of the equation g(x) = x² moves the graph of h(x) = x²+9 down nine units.
6 0
3 years ago
The ages in years of eight boys are 14,
SashulF [63]

Answer:

B) 13

Step-by-step explanation:

Average age means to calculate mean:

Mean = (Sum of all numbers)/(Number of numbers)

Mean = (14 + 14.5 + 12 + 11.5 + 15 + 13 + 10.5 + 13.5)/8

Mean = (104)/8

Mean = 13

5 0
3 years ago
Dentify the pattern rule for this sequence: 1, 4, 2, 8, 6, 24, 22…
stepladder [879]

Answer:

Step-by-step explanation:ffcrrer

7 0
3 years ago
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