A girl is half as old as her sister and is also two years younger than her brother. If the sum of the three children's ages is $34$ years, what is the product of their ages?

Answers

Answer 1

Answer:

13 and a half 5 and half and 16

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Karen is seven years older than suzanne.Four years ago,karen was twice as old as suzanne was.How are they now?

Answers

$K-Karen\ age\nS-Suzanne\ age\nK-4-Karen\ age\ 4\ years\ ago\nS-4-Suzanne\ age\ 4\ years\ ago\n\n \left\{\begin{array}{ccc}K=S+7\nK-4=2(S-4)\end{array}\right\n\left\{\begin{array}{ccc}K=S+7&(1)\nK-4=2S-8&(2)\end{array}\right\n\nsubtitute\ (1)\ to\ (2):\n\n(S+7)-4=2S-8\nS+7-4=2S-8\nS+3=2S-8\ \ \ \ |subtract\ 3\ from\ both\ sides\nS=2S-11\ \ \ |subtract\ 2S\ from\ both\ sides\n-S=-11\n\boxed{S=11}$

$Put\ the\ value\ of\ S\ to\ (1):\n\nK=11+7\n\boxed{K=18}\n\n\left\{\begin{array}{ccc}K=18\nS=11\end{array}\right\n\nAnswer:\ Karen\ does\ 18\ years\ and\ Susanne\ does\ 11\ years.$

karen age=k
suzanne age=s

karen (k) is (=) 7 years older (+7) than suzanne(s)
k=7+s

four year ago means
s-4 and k-4

four years ago (-4 to all) karen (k) was (=) twice (2 times) suzzane (s)
k-4=2(s-4)
distribute
k-4=2s-8
add 4 to both sides
k=2s-4
we know that k=7+s so subsitute 7+s for k
7+s=2s-4
add 4 to both sides
11+s=2s
subtract s from both sides
11=s

suzanne=11
subsitute 11 for s in k=s+7

k=7+11
k=18

karen=18
suzanne=11

John is twice as old as her sister Jane. Four years ago, John was three times as old.What is John’s current age?

Answers

$x-Jane\n2x-John\n\nx-4-Jane\ (4\ years\ ago)\n2x-4-John\ (4\ years\ ago)\n\n2x-4=3(x-4)\n2x-4=3x-12\ \ \ /+4\n2x-4+4=3x-12+4\n2x=3x-8\ \ \ /-3x\n2x-3x=3x-3x-8\n-x=-8\ \ \ /\cdot(-1)\nx=8\n\n2x=2\cdot8=16\n\n\nAnswer:John's\ current\ age\ is\ 16\ years.$

The Corner Cafe recently served 16 pastries, including 2 bran muffins. What is the experimental probability that the next pastry served will be a bran muffin?Write your answer as a fraction or whole number.
P(bran muffin) =

Answers

Answer:

P = 2/16 This is based on 14/16 chance that the next pastry will be something else.

Step-by-step explanation:

We can also expand and say P= 2/16 = 1/8

Not P= 7/8

A company’s profit at the end of the year was -$98.75. Which of these statements must be true?The company broke even.

The company made a little more than $100.

The company lost a little more than 100 dollars.

The company lost a little less than $100.

Answers

The company lost a little less than $100.

Since the number is negative, we know that they lost money. If it was positive, it would've indicated they made money. If they made no money, they would've broken even. This narrows it down to the last two. Since 98 < 100, we know they lost less than $100, which leaves us with the last one.

Answer:

The company lost a little less than $100.

Step-by-step explanation:

The graph shows Linda's math scores versus the number of hours spent doing math homework.What will most likely be Linda's approximate math score if she does math homework for 7 hours a week?

A. 62.5 Points

B.77.5 Points

C. 82.5 Points

D.93.5 Points

Answers

Answer:

The approximate score is:

Option: A

A. 62.5 points.

Step-by-step explanation:

Clearly from the graph we could observe that the line of best fit passes through (0,10) and (4.5,45).

Now we find the equation of line of best fit with the help of formula that is used to find the equation of a line passing through (a,b) and (c,d) as:

$y-b=(d-b)/(c-a)* (x-a)$

Here we have:

(a.,b)=(0,10) and (c,d)=(4.5,45)

Hence, the line of best fit is given as:

$y-10=(45-10)/(4.5-0)*(x-0)\n\ny-10=(35)/(4.5)* x\n\ny-10=(70)/(9)* x\n\ny=(70)/(9)* x+10$

Now we are asked to find the math score if she does math homework for 7 hours a week i.e. we have to find the value of y when x=7.

Hence, we put x=7 in the equation to obtain y as:

$y=(70)/(9)* 7+10\n\ny=(490)/(9)+10\n\ny=64.44$

Hence, the approximate score is:

Option: A

A. 62.5 points.

Answer=A

Let's write the an equation in slope intercept for for the line.

y-intercept=10

slope=rise/run=15/2=7.5

equation:

y=mx+b
y=7.5x+10

Solve for x=7

y=7.5(7)+10
y=52.5+10
y=62.5

Answer=A

What is the estimate of 74.75

Answers

Well if you are referring to rounding you answer is 74.8 because if it is 5 or more you raise the score one point. If it is 4 or less you let it rest.
hope that helped:)

rounded it would be 75 if your rounding to the full number

Other Questions

1/20 written as a decimal

Problems that equal 3r12

5.6a+b = 45a + 2b = 1

HELP MEEEDirections: Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers.Use the coordinate grid below to answer the questions.What is the x-coordinate of Point A? What is the y-coordinate of Point D? Which point is on the x-axis? Which point is on the y-axis?