Answer:
x^2 - 6x + 9
Step-by-step explanation:
B. 10
C. 16
D. 20
Thank you!!!!
Answer:
170
Step-by-step explanation:
Ann, Ben, and Cindy were eating strawberries.
The ratio of the numbers of berries they ate is 5:5:7.
If Cindy ate 30 strawberries less than Ann and Ben together,
find:
what is the total number of strawberries the three of them ate?
solution:
add the ratios 5 + 5 + 7 = 17
since Cindy ate 30, less than Ann and Ben together so, the equation is
7x = 5x + 5x - 30
7x - 10x = -30
x = 30/3
x = 10
ann 5 x 10 = 50
ben 5 x 10 = 50
cindy 7 x 10 = 70
total = 170
By using the ratio and the given information that Cindy ate 30 strawberries less than Ann and Ben combined, we deduced that each part of the ratio corresponds to 15 strawberries. Therefore, all three kids ate in total 255 strawberries.
The first thing you need to do is to use the ratio. 5 parts belong to Ann, another 5 parts belong to Ben and the remaining 7 parts belong to Cindy, which totals 17 parts altogether. We know that Cindy ate 30 strawberries less than Ann and Ben combined, so in terms of the ratio, Ann and Ben make up 10 parts together (5+5) and Cindy's 7 parts are equal to these 10 parts minus 30. Let's denote one part with the letter 'x'. So 10x = 7x + 30, leading to x=15. Now we know that each 'part' in the ratio is equal to 15 strawberries. So, to find the total strawberries they ate you just need to multiply this by the total ratio parts, which is 17. Thus, they ate 17 x 15= 255 strawberries in total.
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B.2/8
C.6/8
D.4/3
Answer:
Solve divided
and put answer in simplest form
D.
Step-by-step explanation:
The easily technique for dividing fractions is invert one of the fraction and multiply the fractions. Numerator should be multiplied by the other numerator and denominator should be multiplied by the other denominator after invert one of the fraction.
÷
Now, we need to simplify the fraction. The numerator and the denominator are divisible between two,
Therefore:
The numerator and the denominator are divisible between two,
Therefore:
The numerator and the denominator are divisible between 3,
Therefore:
The numerator and the denominator are divisible between 7,
Therefore:
Now, we have found the answer:
D.
The simplified form of the expression 6/7 divided 36/56 is 4/3.
Option D.4/3
Given the expression in the question:
6/7 divided 36/56
Which is the same as:
6/7 ÷ 36/56
To solve the division problem (6/7) ÷ (36/56), multiply the first fraction by the reciprocal of the second fraction:
Hence:
6/7 ÷ 36/56
6/7 × 56/36
Multiply the denominators and then multiply the numerators:
( 6 × 56 ) / ( 7 × 36 )
Simplifying, we get:
336/ ( 7 × 36 )
336 / 252
Simplify:
4/3
Therefore, the simplified form is 4/3.
Option D) 4/3 is the correct answer.
Learn about how to divide fractions here: brainly.com/question/1627825
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As their financial advisor, what part of Jim and Jackie’s financial plan would you encourage them to work on?
Jim and Jackie should work on their plan for managing income. The correct option is A.
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
They are currently spending too much money and they should either lower their costs or Jackie will have to find a job:
Jim's net pay = $67,000
Jackie's net pay = $0
total monthly expenses = $2,800 (mortgage and extras) + $2,700 other expenses = $5,500 x 12 months = $66,000
Since Jim contributes 15% of his income to a retirement fund, they are currently having a deficit = net income - total expenses = ($67,000 x 85%) - $66,000 = $56,950 - $66,000 = -$9,050
They will not to able to handle this deficit for a long time, so they should decide which expenses to cut (out of the $2,800 additional expenses).
Therefore, Jim and Jackie should work on their plan for managing income. The correct option is A.
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