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miskamm [114]
4 years ago
6

In 56 years, Daniel will be 5 times as old as he is right now. How old is he right now?

Mathematics
2 answers:
marissa [1.9K]4 years ago
5 0
Daniel is 14 years old
zimovet [89]4 years ago
3 0

d + 56 = 5d

Subtract d from both sides.

56 = 4d

Divide both sides by 4.

d = 14

Daniel is 14 years old.

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Factor this polynomial completely x2 + 3x – 18 A. (x-2)(x + 9) B. (x+3)(x-6) оо C. (x - 3)(x+6) D. (x - 3)(x-6)​
Umnica [9.8K]

Answer:

C. (x-3)(x+6)

Step-by-step explanation:

I think the equation meant x^2+3x-18?

Anyways, to factor these kinds of quadratic, keep into consideration:

ax^2+bx+c=(x+w)(x+v)

ONLY if:

w+v=b\\wv=c

Start off by finding factors of c, which in this case, -18:

±(1, 2, 3, 6, 9, 18)

If one of the numbers is negative then the other number must be positive.

Find which two factors will sum up to b, which in this case, is 3.

1+(-18)\neq 3\\2+(-9)\neq 3\\3+(-6)\neq 3\\6+(-3)=3\\9+(-2)\neq 3\\18+(-1)\neq 3\\

The only two factors that work are 6 and -3.

Replace them into the factored form:

(x+w)(x+v)\\(x+6)(x-3)\\(x-3)(x+6)

3 0
3 years ago
Read 2 more answers
Dean uses 1/3 of a cup of vinegar in his salad dressing recipe. How much vinegar would Dean use to make 2 recipes?
natita [175]

Answer:

2/3

Step-by-step explanation:

1/3 multiplied by 2 equals 2/3

5 0
3 years ago
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Select the digit in the ten thousand place for 542,970​
Vesna [10]

Answer:

the 4

Step-by-step explanation:

3 0
2 years ago
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Suppose that a bike rents for 50php plus 8php per hour. Write an equation in slope-intercept form that models this situation.
alexira [117]

Answer: C(x) = (8 php)*x + 50 php.

Step-by-step explanation:

In a linear equation:

y = a*x + b

a is the slope.

x is the variable

b is the y-intercept.

In this case, we have

The rent is 50 php fixed, plus 8 php per hour.

Then we will pay the 50php only one time, and it does not depend on the number of hours that we rent, then this is the y-intercept.

then if we rent the bike for x hours, we will pay a plus of x*8 php.

Then the total cost for x hours, C(x), will be

C(x) = (8 php)*x + 50 php.

Then the slope is 8 php, and the y-intercept is 50 php.

8 0
3 years ago
Pls help me!!! I will give u Brainlessness!!!
marshall27 [118]

Answer:

1. $1.5 per pound

2. 8 pounds

3. 3.2 apples

4. 25.6 apples

Step-by-step explanation:

The cost of per pound of apples on sale: 3/2 = 1.5

For $12, the pounds of apples: 12/1.5 = 8

1 lb = 16 oz so 1 apple is 5/16 lb: 1/(5/16) = 3.2

for $12, the number of apples: 8/(5/16) = 25.6

4 0
3 years ago
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