Andre came up with the following puzzle. “I am three years younger than my brother, and I am 2 years older than my sister. My mom's age is one less than three times my brother's age. When you add all our ages, you get 87. What are our ages?"

Answer:

21/8

Step-by-step explanation:

The equivalent fraction using the multiplier 2 5/8 is (21a) / (8b).

To find the equivalent fraction using the multiplier 2 5/8, we need to multiply the original fraction by 2 5/8.

Let's assume the original fraction is "a/b".

The equivalent fraction will be:

Equivalent Fraction = (2 5/8) * (a/b)

To simplify this, we first need to convert 2 5/8 to an improper fraction.

To do that, multiply the whole number (2) by the denominator (8) and add the numerator (5) to get the new numerator.

The denominator remains the same:

2 5/8 = (2 * 8 + 5) / 8 = 21/8

Now, the equivalent fraction becomes:

Equivalent Fraction = (21/8) * (a/b)

To find the final equivalent fraction, we can simply multiply the numerators together and the denominators together:

Equivalent Fraction = (21 * a) / (8 * b)

So, the equivalent fraction using the multiplier 2 5/8 is (21a) / (8b).

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = 10(- 1) - 3 = - 13

y = 10(0) - 3 = - 3

y = 10(1)  - 3 = 7

y = 10(5) - 3 = 47

Answer:

the value of [tex]a[/tex] such that  there is no solution to the equation is [tex]a = -4[/tex].

Step-by-step explanation:

Let first simplify the expression presented on statement. The equation has no solution if and only if [tex]a[/tex] is eliminated in the process and an absurd is the result (i.e. [tex]0 = 7[/tex]).

[tex]2\cdot (a\cdot x + 3) = 4\cdot x -3\cdot (4\cdot x + 8)[/tex]

[tex]2\cdot a\cdot x +6 = 4\cdot x -12\cdot x -24[/tex]

[tex]2\cdot a \cdot x+6=-8\cdot x-24[/tex]

[tex]2\cdot a\cdot x +8\cdot x = -30[/tex]

[tex]2\cdot (a+4)\cdot x = -30[/tex]

[tex](a+4)\cdot x = -15[/tex]

To obtain an absurd, we need that [tex]a+4 = 0[/tex]. Hence, the value of [tex]a[/tex] such that  there is no solution to the equation is:

[tex]a = -4[/tex]

Let prove the certainty of the result. We find that an absurd exist: ([tex]a = -4[/tex])

[tex]0 = -15[/tex]

Considering the equation  

[tex]\rm 2(ax+3) = 4x - 3(4x+8) \\[/tex]

The equation given above has no solution when  a = -4

On  simplifying the given equation we can find that

[tex]\rm 2(ax + 3) = 4x-3(4x+8)\\2ax + 6 = 4x- 12x-24 \\2ax +6 +24 = -8x \\2ax +30 = -8x \\2ax+8x +30 = 0[/tex]

The equation  has no solution when the equality of both sides does not hold true .

Hence by observation we can say that the equation has no solution when

[tex]\rm 2ax = -8x \\\\2a =-8\\\bold{a =-4} \\[/tex]

So the equation given above has no solution when  a = -4.

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Answer:

v-u = (-7,5)

Step-by-step explanation:

Given

u has an initial point of (2,-1 ) and a terminal point of (3, 1)

And

v = (-6,7)

First of all we have to find the vector u. for this purpose the initial point is subtracted from the termination point.

Let

[tex]P_1 = (2,-1)\\P_2 = (3,1)\\then\\u = P_2-P_1\\= (3,1) - (2,-1)\\= (3-2, 1+1)\\=(1,2)[/tex]

The vector u is (1,2)

Now we have to find v-u

So,

[tex]v-u = (-6,7) - (1,2)\\= (-6-1,7-2)\\=(-7,5)[/tex]

Hence,

v-u = (-7,5)

Answer:

Operations with vectors practice The final score is 3/3 (100%).

1.(2,4)

2.(-7,5)

3.441 mph

Step-by-step explanation:

got them right you’re welcome and have a nice day!

Answer:

His answer was wrong the answer should be 8.5 .

Step-by-step explanation:

3.8+4.7=8.5

Answer:

41.66% more than 2nd ..........

Answer:

10:4

45:18

20:8

Step-by-step explanation:

Answer:

yes?

Step-by-step explanation:

Answer:

311

Step-by-step explanation:

221 + 90 = 311

Answer:

311

Step-by-step explanation:

u coud of google that

Answer:

0.674 means that it 674/1000

Step-by-step explanation:

which mean that if the model consist of 1000 squares, you have to shade 674 of the squares.

If the model consist of 100 squares, you have to shade 337 of the squares  ( you get the number after dividing both 674 and 1000 with 2)

Answer:

12x + 15y = 120

Step-by-step explanation:

x= t shirts

y= sweatshirts

x+y=total

12x + 15y = 120

(I got this question on a quiz and I got it right!)

I hope this helps!

The equation 12x + 15y = 120 represents the total number of t-shirts and sweatshirts bought if spend $120

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The price for t-shirts = $12 each

The price for the sweatshirt = $15 each

Let's suppose x number of t-shirts and y number of sweatshirts bought.

Then,

12x + 15y = 120

The equation represents the total number of t-shirts and sweatshirts bought if spend $120

Thus, the equation 12x + 15y = 120 represents the total number of t-shirts and sweatshirts bought if spend $120

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Answer:

a + b ≥ 40

a + 5 ≤ b

2.50a + 1.50b ≤ 105

Step-by-step explanation:

We are told she would like to have at least 40 cupcakes and cookies combined.

If a is number of cupcakes and b is number of cookies, then this inequality is;

a + b ≥ 40

Secondly, we are told she would like to have at most 5 more cupcakes than cookies.

Thus, the inequality is;

a + 5 ≤ b

Lastly, we are told that cupcakes sell for $2.50 and cookies for $1.50

Thus, the inequality is;

2.50a + 1.50b ≤ 105

Finally, the 3 inequalities are;

a + b ≥ 40

a + 5 ≤ b

2.50a + 1.50b ≤ 105

so ar^  = 2000 and you told me r = 10

a(10^5) = 2000

a = 2000/100000 = 1/50

the 6th term of a GP is 2000 is 0.02 then the first term of GP is 0.02

A geometric progression, also known as a geometric sequence, is a non-zero number sequence in which each term after the first is found by multiplying the previous one by a fixed, non-zero number known as the common ratio.

Geometric Progression (GP) is a type of sequence in which each succeeding term is produced by multiplying the previous term by a fixed number known as a common ratio. This progression is also known as a pattern-following geometric sequence of numbers.

Therefore,

The general form of a GP is a, ar, ar², ar³,...., arⁿ where a is the first term and r is the common ratio.

Given r=10

6th term of a GP = 2000

We know that nth term of a GP = [tex]ar^{n-1}[/tex]

[tex]ar^5[/tex] = 2000

a × ([tex]10^5[/tex]) = 2000

a = 2000/100000

a = 1/50 = 0.02

Therefore, the first term of GP is 0.02

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Answer:

89

Step-by-step explanation:

the function is the reverse so reverse the problem

Answer:

450 days

Step-by-step explanation:

i used multiplication

Have a great great day!

Answer:

she should have subtracted 11 instead of 4

the answer is -21

Answer:

y=-2/3×

Step-by-step explanation:

y-(-4)=-2/3(×-6)

y+4=-2/3x+4

then subtract 4

y=-2/3×

you use the point slope form

y-y1=m(x-x1)

m equals slope

Answer:

Step-by-step explanation:

Multiply the quantity by the price.

4 notebooks x $2.95 each=???

4 pens x $1.50 each=???

Answer:

$17.80

Step-by-step explanation:

Answer:

sample mean:: 17.92

ME = z*s/sqrt(n) = 1.8807*6.35/sqrt(47) = 1.7421

------------------------

Step-by-step explanation:

Answer:

d

Step-by-step explanation:i use my brain ;)

Answer: B

Step-by-step explanation: it says that their combined age is 27 so that is what the equation must equal. It says that Zay is twice Taylor's age so lets say Taylor's age is X, Zay's age would be 2X. Combined it would be 3x. So the equation is

27= 3X

Now if you divide by 3 in both sides you should get 9. Now that's Taylor's age. Multiply by 2 and you get 18 AKA Zay's age.

Answer:

Slope = -2

Step-by-step explanation:

The line is going down so it is a negative slope

Answer:

The expression without a negative exponent will be:

[tex]\frac{8x^{-4}y^{-8}}{-2xy^5}=-\frac{4}{x^5y^{13}}[/tex]        

Step-by-step explanation:

Given the function

[tex]\frac{8x^{-4}\:y^{-8}}{-2xy^5}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}[/tex]

[tex]\frac{8x^{-4}\:y^{-8}}{-2xy^5}=-\frac{8x^{-4}y^{-8}}{2xy^5}\\[/tex]

[tex]\mathrm{Divide\:the\:numbers:}\:\frac{8}{2}=4[/tex]

               [tex]=-\frac{4x^{-4}y^{-8}}{xy^5}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=\frac{1}{x^{b-a}}[/tex]

                [tex]=-\frac{4y^{-8}}{x^5y^5}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=\frac{1}{x^{b-a}}[/tex]

  i.e.   [tex]\frac{y^{-8}}{y^5}=\frac{1}{y^{5-\left(-8\right)}}[/tex]

so the expression becomes

    [tex]\frac{8x^{-4}\:y^{-8}}{-2xy^5}=-\frac{4}{x^5y^{5-\left(-8\right)}}[/tex]      

                  [tex]=-\frac{4}{x^5y^{13}}[/tex]

Therefore, the expression without a negative exponent will be:

[tex]\frac{8x^{-4}y^{-8}}{-2xy^5}=-\frac{4}{x^5y^{13}}[/tex]        

Answer:

Undefined

Step-by-step explanation:

Answer:

Slope is Undefined

Step-by-step explanation:

The slope is undefined because it is just a vertical line.

hope this helps.

Answer:

its prob 6% or 96%

Step-by-step explanation:

Answer:

3 + 18g

Step-by-step explanation:

(1+6g)(3)=

Begin by distributing the 3 to each of the terms, I like to re-write it like this before distributing to make sure I remember to multiply all the terms inside the parenthesis.

(3)(1+6g)

3 + 18g

Since we are just simplifying the problem and not solving it, you won't have a number for your answer. It's usually a smaller equation with at least one variable :)

4+1/2/1/8 hope this helps