Marc was born on his grandmother’s 56th birthday. In how many years will Marcs grandmother be 5 times as Marc will be then?

Since we know there are 6 sides and each side has the length of x-6, we set up this equation and solve:

6(x-6)=78

x-6=13

x=19

So the value of x is 19, which means each side has a length of 13 units.

Hope this helped!

Answer:

Pr(blue) = 2/7

Step-by-step explanation:

Blue = 6

White = 7

Gray = 8

Total socks = 6+7+8 =21

Probability of picking blue = number of blue ➗ total number of socks

Pr(blue) = 6/21

Divide both by 3 to make the fraction to the lowest term.

Pr(blue) = 2/7

I hope this was helpful, please mark as brainliest

Answer:

2/7

Step-by-step explanation:

6 blue socks

7 white socks and

8 gray socks

Total number of socks = 6 + 7 + 8

= 21

Probability of picking a blue sock without looking = no of blue socks / total number of socks

That’s 6/21

= 2/7

The probability of picking a blue sock is 2/7

Answer:

[tex]200 \ marbles[/tex]

Step-by-step explanation:

[tex]Let\ Alan\ have\ =x\ marbles\\Brady\ have = (x+20)\ marbles\\Matt\ have = . (x+120)\ marbles\\\\Total\ marbles = 740\\x+(x+20)+(x+120)=740\\x+x+20+x+120=740\\3x+140=740\\3x=740-140\\3x=600[/tex]

Dividing [tex]3[/tex] both sides.

[tex]\frac{3x}{3}=\frac{600}{3}\\\\x=200[/tex]

We solve the problem by setting up a linear equation based on the information given. We solve it to find that Brady has 260 marbles and then deduct or add from this number to find the number of marbles for Alan and Matt. Our answer is that Alan has 240 marbles.

This problem involves solving linear equations in order to find the number of marbles each person has. Firstly, we need to represent each person's marbles in terms of the other person's marbles as given in the question.

Let's say Brady has 'b' marbles. From the problem, we deduce that Alan has 'b-20' marbles (20 less than Brady). We can also deduce that Matt has 'b-20+120' marbles (120 more than Alan).

Given that the total number of marbles is 740, we can set up the equation b + (b - 20) + (b - 20 + 120) = 740. Solving this linear equation, we get b = 260. Then, substituting b in the expressions for Alan and Matt will give us the number of marbles for each person, implying Alan has 260 - 20 = 240 marbles.

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Answer:

it would be a positive number

Step-by-step explanation:

this is because you cant have a negative number of bikers.

Answer:

Could you provide a picture of said number line

Answer:

12.72 units

Step-by-step explanation:

Recall the mnemonics: SOHCAHTOA

We want to find PQ, which is opposite to the 58° angle.

So we use the sine ratio: SOH , which means Sine is Opposite/Hypotenuse

[tex] \sin(58 \degree) = \frac{PQ}{15} [/tex]

This implies that:

[tex]PQ = 15 \sin(58) [/tex]

We substitute the value for sin58° to get:

[tex]PQ = 15(0.848)[/tex]

PQ=12.72

Answer:

  10 miles

Step-by-step explanation:

Let m represent the number of miles Kayla runs. We want to find m such that ...

  0.50m = 5.00

Divide by the coefficient of m:

  m = 5.00/0.50 = 10

Kayla has to run 10 miles to get the same donation from both parents.

Answer:

!0 miles

Step-by-step explanation:

Answer: Leia pays more to fly from the UK to Australia

Step-by-step explanation:

We have two persons, Andy and Leila; both travel from UK to Australia but in different ways:

For Andy:

-He first flies from UK to Japan and the cost of the ticket is [tex]\£ 554[/tex]

-Then he flies from Japan to Australia and the cost of the ticket is [tex]70140 Yen[/tex]

So, the cost of Andy's trip is:

[tex]\£ 554+70140 Yen[/tex] (1)

Taking into account that we have to use the same units to sum two quantities, we have to convert the Yens to [tex]\£[/tex]; knowing that [tex]\£ 1=140 Yen[/tex]:

[tex]70140 Yen \frac{\£ 1}{140 Yen}=\£501[/tex]

Then, (1) is rewritten as:

[tex]\£ 554+\£501=\£1055[/tex] (2) This is the total cost of Andy's trip

For Leila:

She flies directly from UK to Australia and the cost of her ticket is [tex]\$ 1860[/tex] (Australian dollars)

Taking into account that we have the price of Andy's trip in [tex]\£[/tex], we have to convert the Australian dollars to [tex]\£[/tex], in order to compare.

So, knowing that [tex]\$ 1=\£ 0.62[/tex] we have:

[tex]\$ 1860 \frac{\£ 0.62}{\$ 1}=\£1153.2[/tex] (3) This is the total cost of Leila's trip

Hence, comparing (2) and (3) we can see that Leila paid more to fly from UK to Australia.

Answer:

2

Step-by-step explanation:

Answer:

2.58333333333

Step-by-step explanation:

calculator

a=10 & b=2, according to this, 10/2=5, so now it's 5*2=10

9+9+12+12.

24+18.

Answer? 42 inches

Answer:

The perimeter is 42 inches

Step-by-step explanation:

The perimeter is the sum of each side. So 9 + 9 + 12 + 12 = 42

You can also use the formula, w*2 + l*2 = P

Hope this helped! :)

Answer:

11+10i

Step-by-step explanation: (a+ib) + ( x+ iy) = ( a+ x) +i( b+ y)

so, (,2+4i) + (9+6i) = (2+9) + (4+6)i

= 11 + 10i

Answer: Two and Seven hundred fifty one thousanths

Step-by-step explanation:

Option b) square root 19 + 7 over 2 will be an irrational sum because it includes the square root of a non-perfect square (19), which is an irrational number, added to a rational number (7/2).

The question asks which sum will be irrational. To determine this, we must look at each of the options:

a) 3+2 is the sum of two integers, which is also an integer, and thus a rational number.

b) square root 19 + 7 over 2 involves the square root of 19, which is an irrational number because 19 is not a perfect square. The sum of an irrational number and a rational number (7/2) is irrational.

c) 18 over 3 + 11 over 10,000 is the sum of two rational numbers, as both fractions can be simplified to a common form with integer numerators and denominators.

d) -6+(-3.251) is the sum of two rational numbers, since 3.251 can be expressed as a fraction.

The sum in option b will be irrational because it involves the sum of an irrational number, square root 19, and a rational number, 7/2. All the other sums are of rational numbers and will, therefore, also be rational.

Answer:

m=4

Step-by-step explanation:

Since we know that quadrilateral ABCD is similar to QRST, we know that the side lengths will be proportional to one another. As such, we should take a ratio to determine the side length of m.

[tex]\frac{ST}{CD}=\frac{RS}{BC}\\\\\frac{6}{15} =\frac{m}{10}\\[/tex]

[tex]\frac{6*10}{15} =m\\m=60/15=4[/tex]

m=4

[tex]\boxed{x=\frac{1753}{495}}[/tex]

The steps are as follows:

Step 1. Let's create an equation such that x equals the decimal number

[tex]x=3.5414141...[/tex]

Step 2. Let's multiply x by 100

[tex]10x=35.414141... \ \ \ eq 1[/tex]

Step 3. Let's multiply x by 1000

[tex]1000x=3541.414141... \ \ \ eq2[/tex]

Step 4. Subtract equation (1) from (2)

[tex]1000x-10x=3541.414141... - 35.414141... \\ \\ 990x=3506 \\ \\ x=\frac{3506}{990} \\ \\ Dividing \ both \ numerator \ and \ denominator \ by \ 2: \\ \\ \boxed{x=\frac{1753}{495}}[/tex]

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The fraction that represent the given repeating decimal number is [tex]\frac{3506}{990}[/tex].

The given repeating of decimal number is [tex]3.5\bar{41}[/tex].

The decimal number can be written as [tex]3.5414141......[/tex]

Take  [tex]x=3.5414141......[/tex]---------(i)

Multiply equation (i) by 10, we get

[tex]10x=35.414141......[/tex] ---------(ii)

Multiply equation (i) by 1000, we get

[tex]1000x=3541.4141......[/tex] ---------(iii)

Subtract equation (ii) from (iii), we get

[tex]1000x-10x=3541.4141......-35.4141......[/tex]

[tex]990x=3506[/tex]

[tex]x=\frac{3506}{990}[/tex]

Therefore, the fraction that represent the given repeating decimal number is [tex]\frac{3506}{990}[/tex].

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Answer:

7/10

Step-by-step explanation:

0.1 = [tex]\frac{1}{10}[/tex]

1/5

30 × 1/10 = 3

30 × 1/5 = 6

6+3 = 9

30 - 9 = 21

21/30 simplified = 7/10

Answer:

7/10

Step-by-step explanation:

Total number of cakes made by Simon = 30 cakes.

Number of cakes gave to Sali =

1/5 Of total cakes = 1/5 x 30 = 6 cakes.

Number of the cakes gave to Jane = 10% of 30 cakes

10/100 as a decimal 0.10.

10% of 30 cakes = 0.10 times

30 = 3 cakes.

Total number of cakes left = Total cakes made - Cakes gave to Sali - Cakes gave to Jane

30-6-3 = 21

21 cakes left.

21/30 = 7/10

Answer:

OPTION A

OPTION B

OPTION D

Step-by-step explanation:

Given that a bag of apples cost 'a' dollars.

A bag of oranges cost 'a + 2' dollars.

Therefore, one bag each of apples and oranges should cost: a + a + 2 dollars.

Since, Dorie buys 5 bags of apples and Oranges, it would have costed her:

5(a + a + 2)

= 5(2a + 2)

= 10a + 10

Hence, OPTION A, B and D are the correct answers.

Answer:

[tex]J'(-15,10)\\\\K'(15,10)\\\\L'(0,-20)[/tex]

Step-by-step explanation:

For this exercise you must remember that the original figure (before a transformation) is called "Pre-Image" and the one obtained after the transformation is called "Image".

 Dilation is defined as a transformation in which the Image and the Pre-Image have the same shape, but different sizes.

If a figure is dilated by a scale factor "k" with respect to the origin, the rule is:

[tex](x,y)[/tex] → [tex](kx,ky)[/tex]

In this case, the vertices of the triangle JKL (the Pre-Image) are:

[tex]J(-3.2)\\\\K(3,2)\\\\L(0,-4)[/tex]

Knowing that the scale factor is:

[tex]k=5[/tex]

You get that the vertices of the triangle J'K'L' (Image), are:

[tex]J'=(5(-3),5(2))=(-15,10)\\\\K'=(5(3),5(2))=(15,10)\\\\L'=(5(0),5(-4))=(0,-20)[/tex]

Answer:

J'(–15, 10), K'(15, 10), and L'(0, –20)

Step-by-step explanation:Glad I could help

Answer:

If A and B are independent events, P(A and B) =​ P (A) * P (B)

Step-by-step explanation:

Let's recall that independent events means that when one event occurs, it has no impact or influence on the probability of another event occurring. Here’s an example. Let’s say that we have two events, A and B.  

Event A : it rains in Seattle

Event B : the Super Bowl match is cancelled in Miami

The two events are independent; if it rains in Seattle, this will have no impact on the probability that the Super Bowl match is cancelled in Miami. Raining in Seattle and the cancellation of the Super Bowl are independent events, therefore:

P(A and B) =​ P (A) * P (B)

Answer:

2 5/6

Step-by-step explanation:

10 2/6 - 7 3/6

10 - 7 = 3

2/6 - 3/6 = -1/6

3-1/6 = 2 5/6

Answer:

2.5 miles

Step-by-step explanation:

to do this, you must know that there is 5280 feet in one mile.

then divide 5280 feet into 13200

13200 ÷ 5280 = 2.5

13200 feet can be converted to miles by dividing the length in feet by the conversion factor of 5280, which represents the number of feet in a mile.

To convert feet to miles,

To convert 13200 feet to miles, divide 13200 by 5280.

[tex]13200 / 5280 = 2.5[/tex] miles.

13200 feet is equivalent to 2.5 miles

Therefore, 13200 feet is equivalent to 2.5 miles by dividing the length in feet by the conversion factor of 5280, which represents the number of feet in a mile.

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Answer:

x = 65

Step-by-step explanation:

120% converts to the mixed decimal quantity 1.20.

Then 1.20x = 78, and this can be solved for x as follows:

Divide both sides by 1.20.  We get:  x = 78/1.20, or x = 65

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

ABC = 72 degrees

CBF = 108 degrees

DBE = 18 degrees

ADB =  90 degrees

Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

PLATO

Answer:

y=mx+b is the formula. So -8=-3x+5 would be the answer..

since (x,y) just substitute these numbers you have it into the formulas... Take y from (5,-8) and place it into y=mx+b. Next take the slope which is -3. And then since its a postive number we add are x from (x,y). -8=-3x+5. We also add x next to the slope (-3) becuase we are trying to solve for x. And we always put it next to the slope. Hope this helps!

Answer:

Step-by-step explanation:

hello :

note :

Use the point-slope formula.

y - y_1 = m(x - x_1)    you have : m=-3  and x_1 = 5  and  y_1 = -8

an equation in the point-slope is : y +8 = m(x - 5)  

Answer:

x=2

y=-3

Step-by-step explanation:

we have

[tex]y=\frac{1}{2}x-4[/tex] ----> equation A

[tex]y=-2x+1[/tex] ----> equation B

Solve the system by graphing

Remember that the solution of the system of equations by graphing is the intersection point both lines.

using a graphing tool

The intersection point is (2,-3)

therefore

The solution is

x=2

y=-3

Answer:

Reggie collected 900 cans and bottles.

Step-by-step explanation:

360 ÷ 40 = 9

9 x 100 = 900

900 - 40% = 540

900 - 540 = 360

So, Reggie collected 900 cans and bottles. And between him and Tanner, they collected 1,260 cans and bottles. It must have been VERY dirty where they were collecting the cans and bottles.

Answer:

0.14

Step-by-step explanation:

As for 17-minute call = 2.38 cost

Thus per minute call which is 1 minute call is = 2.38/17 min

Therefore the answer is 0.14

Answer:

21d (10d - 3)

Step-by-step explanation:

Factor 21d out of 210d² - 63d

I don't know if this answered your question correctly, but that is how I would solve it.

The expression is equivalent to 210d² - 63d is  21d( 10d - 3).

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Given:

Expression: 210d² - 63d

now, factorizing each term of expression

210d² = 2 x 3 x 5 x 7 x  d x d

-63d = -3 x 3 x 3 x d

So, 210d² - 63d

= (2 x 3 x 5 x 7 x  d x d) - (3 x 3 x 7 x d).

= 21d (2 x 5 x d - 3 )

= 21d( 10d - 3)

Hence, the equivalent expression is 21d( 10d - 3).

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