Mathematics Middle School

When 54 is added to a number the result is the same as when the number is multiplied by 3. What is the number? Show working out.

Answers

Answer 1

54 + x = x(3)
54 + x = 3x
2x = 54
x = 27

Answer 2

The number is 18.
54 divides by 3 is 18.
18 plus 54 is 72
18 Times 3 is 72

Related Questions

solve this equation using the radical equation method

Answers

The domain:
[tex]3x+6\geq0\ \ |-6\\3x\geq-6\ \ \ |:3\\x\geq-2\\\\D:x\in\left< -2;\ \infty\right)[/tex]

[tex]2x=\sqrt{3x+6}-1\ \ \ |+1\\\\2x+1=\sqrt{3x+6}\ \ \ \ |^2\\\\(2x+1)^2=\left(\sqrt{3x+6}\right)^2\ \ \ |use:\ (a+b)^2=a^2+2ab+b^2\\\\(2x)^2+2\cdot2x\cdot1+1^2=3x+6\\\\4x^2+4x+1=3x+6\ \ \ \ |-3x-6\\\\4x^2+x-5=0\\\\4x^2-4x+5x-5=0\\\\4x(x-1)+5(x-1)=0\\\\(x-1)(4x+5)=0\iff x-1=0\ \vee\ 4x+5=0\\\\x=1\ \vee\ 4x=-5\\\\x=1\in D\ \vee\ x=-1.25\in D[/tex]

[tex]Answer:\ \boxed{x=-1.25\ \vee\ x=-1}[/tex]

What does this mean???

Answers

I'm assuming the problem wants you to enlarge the figure by 2.

Multiply the area you got for the triangle by 2. That will be it's new area.

Plz tell me the aswer and how you worked it out. A tree grows to a height of 13.75m over 5 1/2 years. What is the average annual growth rate in metres per year?

Answers

1. Take your 13.75 and 5 1/2 and put it into a dividing table
_______
5.5 I13.75

you need to get your decimal out of deviser (5.5) will now be (55) because you moved the decimal over there you also need to move the decimal that is on the inside to and it will be (137.5)

2. When you divide you would get 2.5

3. Now you would know how much the tree grew over the 5 1/2 years.

ANSWER: 2.5m a year!

Hope this helped!

:)

x^2+13x+30=0 in quadratic formula

Answers

[tex]ax^2+bx+c=0\\\\\Delta=b^2-4ac\\\\if\ \Delta > 0\ \text{then exist two solutions}\\\\\ x_1=\dfrac{-b-\sqrt\Delta}{2a}\ and\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\if\ \Delta=0\ \text{then exist one solution}\\\\x_o=\dfrac{-b}{2a}\\\\if\ \Delta < 0\ \text{then not exist any solutions}[/tex]

[tex]x^2+13x+30=0\\\\a=1;\ b=13;\ c=30\\\\\Delta=13^2-4\cdot1\cdot30=169-120=49 > 0\\\\\sqrt\Delta=\sqrt{49}=7\\\\x_1=\dfrac{-13-7}{2\cdot1}=\dfrac{-20}{2}=-10\\\\x_2=\dfrac{-13+7}{2\cdot1}=\dfrac{-6}{2}=-3[/tex]

Answer: x = -10 or x= -6.

which expression could be represented by the model shown below? PLEASE HELP

Answers

total = 6x^2 and 2x
so
6x^2 + 2x = 2x (3x +1)

answer
A. 2x (3x +1)

6x² + 2x = 2x · 3x + 2x · 1 = 2x(3x + 1)

if the measure of an angle is 38 find the measure of ots complement

Answers

90=A+B
A = B-38
90=A+B
(B-38) +B=90

a complement of an angle means together they sum to 90 degrees. this means
[tex]38 + x = 90[/tex]
or
[tex]90 - 38 = x[/tex]
so we find the complement to a 38 degree angle is 52 degrees!

rate brainliest if you like my answer! thanks :)

Anna needs to find the area of a figure that can be separated into a square and a triangle. The base of the triangle is 18 cm, and its height is 10 cm. The length of the side of the square is equal to the base of the triangle. Which expression can Anna use to find the area of the figure?

Answers

Area of triangle=1/2bh

18×10=180
180÷2=90

Area of square=l×w

18×18=324

324+90=414

(18×10)÷2+(18×18)

Answer:

the answer is below

Step-by-step explanation:

da answer C

Michael has 225 milliliters of a liquid. To find out the number of grams of calcium in this liquid, Michael multiplies the volume by 0.015. When he writes the number representing the amount of calcium in the liquid, how many significant digits will the number have?

Answers

In mathematical operations with significant figures the answer must reflects the reliability of the least precise number. 225 has three significant figures, whereas 0.015 has two -leading zeroes are not significant figures, so our answer must have two significant figures to reflect the reliability of the number 0.015, which has two significant figures.

[tex]225*0.015=3.4[/tex]

We can conclude that the number representing the amount of calcium in the liquid will have two significant figures.

Answer:the answer is 2 trust me it had 2 significant digits

Step-by-step explanation:

The reason why is because the number 0.015 only has 2 significant digits is because until a number that is not 0 comes up then it doesn’t count as a significant digit so in this case the number 1 is the number that does start with a zero so thats 1 significant digit and then after that is 5 so they’re is the second significant digit so the 2 other zeros don’t count cause in order for the zero to be a significant digit it has to be to the left of a other number thats not 0 so there’s your answer mark me brailiest pls and have a good day .-. :)

x^2-7×+10 solve for quadratic formula.

Answers

Hey, did u mean solve using quadratic formula? If so... the image should help

sorry it’s a bit messy but I hope this helps.. if u didn’t mean to be solved this way please tell me and I’ll do my best to help :)

PLEASE HURRY!!!!!!!
What are the coordinates of the midpoint of the line segment with endpoints
B(9, −8) and C(2, −5)? Enter your answer as a decimal or integer in the boxes.
( , )

Answers

( (9 + 2 ) / 2 , ( -8 + -5 ) / 2 ) =

( 11/2 , -13/2 )

Answer:

The mid-point of the given line segment is:(5.5,-6.5)

Step-by-step explanation:

let us consider two points A and B with coordinates (a,b) and (c,d) respectively.

let C be the mid point of A and B then then the coordinates of C is given by [tex](\frac{a+c}{2},\frac{b+d}{2})[/tex].

in the given question (a,b)=(9,-8) and (c,d)=(2,-5) so the mid point of these two points are [tex](\frac{9+2}{2},\frac{-8-5}{2})[/tex]=(5.5,-6.5)

Hence, the coordinates of the midpoint of the line segment with endpoints B(9,-8) and C(2,-5) is (5.5,-6.5).

The function rule for the following graph is y = 2x + 2. What is the value of y in the ordered pair (2, y)? 24 4 10 6

Answers

Out of the ordered pair the 2 would be the x so you would need to plug in 2 for x in the equation so it would look like this

y=2(2)+2
finally solve for y
4+2
6=y
6 is your answer

The Brown family needs to rent a truck for their upcoming move. Express Movers will charge them $25 for the first day and $0.80 for every mile. Smith & Smith Co. will charge $35 for the first day and $0.60 for every mile. Before deciding which service to use, Mrs. Brown wants to find out how many miles would make the two choices equivalent in cost. The following equations represent this situation.

Answers

Express Movers equation would be y= 25 + .8x
Smith equation would be y= 35 + .6x
if you went 14 miles with Movers, you would go 1 mile with Smith for the same price.

Answer:

50m 65$

Step-by-step explanation:

Hannah made 0.7 of her free throws in a basketball game.Abra made 8/10 of her free throws.Dena made 3/4 of her free throws.Who was the best shooter?

Answers

Let's convert them all into decimals! Hannah has 0.7, Abra has 0.8, and Dena has 0.75. Now, which one has the most...Abra! Abra is the best shooter!
Hope this helps!

Get them all to the same form. Let's make them all fractions.

0.7 = [tex] \frac{7}{10} [/tex]

Now, let's get them all to a common denominator. 20 is the best choice.

You can use proportions to work this out.

[tex] \frac{7}{10} = \frac{14}{20} [/tex]
We just doubled the bottom; what you do to the bottom, you must do to the top.

[tex] \frac{8}{10} = \frac{16}{20}[/tex]
Once again we doubled the bottom, so we doubled the top as well.

[tex] \frac{3}{4} = \frac{15}{20} [/tex]
We multiplied the denominator by 5 to get it to 20. In order to keep it the same fraction, you must multiply the numerator by 5 as well.

Abra was the best shooter with [tex] \frac{8}{10} [/tex] of her free throws made.

what is the approximate volume of a cylinder with the radius of 4 cm and height of 5 cm

Answers

Volume of a cylinder: [tex] \pi [/tex]r²h

Plug in the radius and height for the cylinder.

[tex] \pi [/tex]4²5 = 251

The approximate volume of the cylinder is 251 cm³.

To calculate the volume of a cylinder we take the area of the circle or base, and multiply that times the height of the cylinder. The formula for area of a circle is pi*r*r, or 16pi. multiply this times 5 to get 80pi. This can also be written as 251.2, if you are using 3.14 for pi, or 251.327, if you need more digits.

On which of the following lines does the point (7, 1) lie?

A.) y = 5x + 4
B.) y = -x + 8
C.) y = x - 10
D.) y = -4x + 3

Answers

we have that
the point (7, 1)

case A.) y = 5x + 4
if the point (7, 1) lie to the line
so
for x=7 the value of y must be 1
y=5*7+4------> y=39
39 is not 1---------> the point does not belong to the line

case B.) y = -x + 8
if the point (7, 1) lie to the line
so
for x=7 the value of y must be 1
y=-7+8------> y=1--------> the point belongs to the line

case C.) y = x - 10
if the point (7, 1) lie to the line
so
for x=7 the value of y must be 1
y=7-10------> y=-3
-3 is not 1---------> the point does not belong to the line

case D.) y = -4x + 3
if the point (7, 1) lie to the line
so
for x=7 the value of y must be 1
y=-4*7+3------> y=-25
-25 is not 1---------> the point does not belong to the line

the answer is the option
B.) y = -x + 8

wich one is the solution???: 4(2x-1)=-3x+32

i dont understand this thing....

Answers

First let’s multiply. 8x-4=-3x+32. Start collecting like terms on different sides. 8x+3x=32+4. 11x=36. x=36/11. x=3.27.

4 x (2x-1) = -3x + 32
4 and 2x =8x 4 and -1 = -4
So, you know got:
8x - 4 = -3x + 32
Move one of the x's. In my case, I will move the -3x. Also move the number as well. I will move the -4
8x + 3x = 11x
32+4 = 36
Now you got: 11x=36
36/11= 3.27272727…

Staci is attending a music festival. The ticket to the festival costs $87.96. Staci plans to purchase $30.00 t-shirt from the event for close friends. she is taking $200.00 to the festival. what is the maximum number of t-shirts can purchase?

Answers

Final answer:

After purchasing the festival ticket, Staci has $112.04 remaining from her $200 budget. Each T-shirt costs $30, so she can buy a maximum of 3 T-shirts.

Explanation:

The student asked how many
T-shirts Staci can purchase at a music festival considering she has a budget of $200, and she also needs to buy a ticket and possibly T-shirts for her friends.

First, we need to subtract the cost of the festival ticket from Staci's total budget which is $200.00 - $87.96 = $112.04 remaining. Now, if each T-shirt costs $30.00, we can find the maximum number of T-shirts she can purchase by dividing the remaining money by the cost of one T-shirt.

$112.04 / $30.00 = 3.734.

Since Staci cannot buy a fraction of a T-shirt, she can purchase a maximum of 3 T-shirts with the remaining budget.

John found a pair of jeans that cost 45$ .if it had a 10% -off coupon .how much would the jeans cost

Answers

If he paid $45 for the pants and they were 10% off then the original price of the pants was $50. However if you meant that the original price is $45 (more likely based on your wording) the new price would be $40.50.

Answer:

M.P=$45

discount=10%

Now.

S.P=M.P-discount % of M.P

=45-10/100×45=45-4.5=$40.5

the jeans cost $40.5.

list 3 values that would make this inequality true 42 ≤ 24 + y

Answers

18, because 18+24 is 42
Then, you can choose any value that is bigger than 18 for the other two values.

18, 19, 20 are the three values that would make this inequality true 42 ≤ 24 + y

What is Inequality?

a relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is 42 ≤ 24 + y

Forty two lesser than or equal to twenty four plus y.

We need to find any three value which would make the inequality true.

We have to take the values of y which are added with 24 must be greater than or equal to twenty four.

Suppose let us take 18 as y

42≤ 24 + 18

42≤ 42 which is true

We have to take values greater than 18 which makes the inequality as true

42≤ 24 + 19

42≤ 43 true

42≤ 24 + 20

42≤ 44 true

Hence, 18, 19, 20 are the three values that would make this inequality true 42 ≤ 24 + y

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What is the distance between -10 and 25 on a number line?
A) -35
B) -15
C) 15
D) 35

Answers

Since I cannot draw a number line here, imagine ten jumps below 0 and 25 jumps above 0. To find the distance between -10 and 25, we add the numbers together, ignoring the negative sign.

= 10 + 25
= 35 distance

ANSWER: The distance between -10 and 25 is (D) 35.

Hope this helps! :)

Gabriele built a composite figure using 12 cubes for the bottom layer and 10 cubes for the top layer.she said that the volume of the composite figure was 12 times 10 or 120 cubic centimeters find and correct her error

Answers

Considering that each cube is 1 cubic centimeter, the volume of the composite figure should be the sum of the cubes. The volume is 12+10 or 22 cubic centimeters.

Final answer:

The volume of a composite figure is not simply the product of the number of cubes in each layer. To find the volume of the composite figure, we need to find the volume of each layer separately and then add them together.

Explanation:

Let's start by finding the volume of the bottom layer. Since there are 12 cubes and each cube has a volume of 1 cubic centimeter, the volume of the bottom layer is 12 cubic centimeters.Next, let's find the volume of the top layer. Since there are 10 cubes and each cube has a volume of 1 cubic centimeter, the volume of the top layer is 10 cubic centimeters.Finally, we can add the volumes of the bottom and top layers together to find the total volume of the composite figure. 12 cubic centimeters + 10 cubic centimeters = 22 cubic centimeters.

Therefore, the correct volume of the composite figure is 22 cubic centimeters, not 120 cubic centimeters.

Find the area of a triangle bounded by the y-axis, the line
f(x) = 34 − 4 x,
and the line perpendicular to "f" that passes through the origin.

Answers

The area is 68.47.

A drawing of the triangle is attached.

We first plot the y-intercept of the line given to us, f(x)=34-4x. This is in the form f(x)=mx+b, so the y-intercept, b, is 34.

Next we use the slope to find the next points of the line. The slope is -4, which can be written as -4/1 (rise/run). This means from the y-intercept, we go down 4 and over 1 to plot the next point, and continue in this manner. We now have the y-axis and this line drawn.

Next we use the slope of the line to find the slope of the perpendicular line described. Two lines are perpendicular if their slopes are negative reciprocals of each other. The slope of the first line was -4/1; this means the slope of this line must be 1/4. We also know this point goes through the origin, so 0 is the y-intercept, and we have the equation f(x)=1/4x+0.

To graph this, plot a point at 0, the y-intercept. The slope is 1/4, so we go up 1 and over 4 to the next point. This happens to be on the line we previously drew.

To find the area of this triangle, we need to identify the base and height. The height will be perpendicular to the base. The two sides that form a right angle are the bottom and the right hand side, so the bottom is the base and the right hand side is the height.

Now we find the length of each of these sides using the distance formula. For the height:

[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}=\sqrt{(34-1)^2+(0-4)^2} \\ \\=\sqrt{33^2+(-4)^2}=\sqrt{1089+16}=\sqrt{1105}\approx33.24[/tex]

To find the length of the base:
[tex]d=\sqrt{(0-1)^2+(0-4)^2}=\sqrt{(-1)^2+(-4)^2}=\sqrt{1+16}=\sqrt{17} \\ \\\approx4.12[/tex]

The area of a triangle is given by A=1/2bh:
A=1/2(33.24)(4.12) = 68.4744 ≈ 68.47

If a scale factor of 1/5 is used to make a reduction what is the base of the original triangle? A) 1 B) 10
C) 15
D) 25

Answers

I believe the answer is 25 because the original triangle would have dimensions 5 times larger than the current model. 5 x 5 = 25. Hope this helps ;)

Answer: D

Step-by-step explanation: :) m sure

which linear equations best describe the given model?

A. y=x+7.5

B. y= -x+7.5

C. y= -1/2x+7.5

based on this equations estimate the mood rating for a student that spent 5.5 hours online

Answers

B, and a student who spent 5.5 hours online would have a mood rating of about 2.

Write the fractional equivalent (in reduced form) to each number.

0.3
0.125
0.16
0.1
0.6
0.2
0.75

Answers

Answer:

0.3=1/3

0.125=1/8

0.16=1/6

0.1=1/10

0.6=2/3

0.2=1/5

0.75=3/5

hope this helps sorry if it dont please give me brainlest im new

The fractional equivalent 3/10, 1/8, 4/25, 1/10, 3/5, 1/5 and 3/4 which will Rational Number.

What is Rational Number?

Numbers that may be expressed in the form p/q, where p and q are integers and q0, are considered rational numbers. Because fractions cannot have a negative numerator or denominator, they differ from rational numbers in this respect. Because of this, the numerator and denominator of a fraction are whole numbers (denominator 0), unlike in the case of rational numbers, when they are both integers.

So to convert a fractional to reduce form we have to divide by 10 to power how many digits thereafter decimal point, and make sure that numerator or denominator doesn't have common divisible.

.3 = 3/10

.125 = 125/1000 = 1/8

.16 = 16/100 = 4/25

.1 = 1/10

.6 = 6/10 = 3/5

.2 = 2/10 = 1/5

.75 = 75/100 = 3/4

Hence the answers will be 3/10, 1/8, 4/25, 1/10, 3/5, 1/5 and 3/4 in the rational p/q form.

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Please help, personal finance question

Dave has a life insurance policy with $2.2 million benefit. If this money was put into an account with a 3.4% interest rate, how much income can his beneficiaries expect i case Dave dies?

A $74, 800

B $20, 600

C. $60, 000

D $40, 000

Answers

Answer:

Step-by-step explanation:

The maximum value can reach $74, 800 if Dave Dies.

What is Exponential Growth

Insofar as they use compound interest, life insurance premiums are equivalent to bank interest rates. We may use the exponential growth formula to get the insurance policy payout because they are compound interests. Those being the following,

Given:

T = [tex]a(1+r)^t[/tex]

Where:

T is the final payout, a is the initial amount, r is the interest rate in decimal form and t is the time.

So, T = [tex]2200000(1+ 0.034)^t[/tex]

let Dave dies after 2 years of buying his life insurance the beneficiaries will get the following payout.

T = [tex]2200000(1+ 0.034)^2[/tex]

T= 2200000 ( 1.069156)

T = $23,52,143.2

So, the maximum value can reach $74, 800.

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solve the equation of 4 (3q-2)=16q

Answers

q= -2
hope this helps. tell me if you need any more help!

The solution of expression for value of q is,

⇒ q = - 2

We have to given that,

An equation to simplify,

⇒ 4 (3q - 2) = 16q

Now, We can solve the expression for q as,

⇒ 4 (3q - 2) = 16q

Divide both side by 4;

⇒ 4 (3q - 2) /4 = 16q / 4

⇒ (3q - 2) = 4q

Subtract 3q both side,

⇒ 3q - 2 - 3q = 4q - 3q

⇒ - 2 = q

⇒ q = - 2

Therefore, The solution is,

⇒ q = - 2

Learn more about the subtraction visit:

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Find the range of the relation.

A.) {–4, –2, –1, 2}

B.) {–4, 4}

C.) {–3, –2, 0, 2}

D.) {–4, –2, –1, 0, –2}

Answers

C. these are the y values shown on the graph

April wants to know what the probability is that a card drawn randomly from a deck will be a heart. Her sample space includes all 52 cards in a standard deck. Which of these outcomes composes the event?

(This question was not multiple choice)

Answers

52 / 4 (types of cards): 13.

13/52.

13 is prime. 52 can be divided by 13.

1/4 chance that a card will be hearts, or a 25% chance.

There is a 1/4 chance.

In decimal 0.25

In percentage 25%

Ik the other guy answered it but I figured why don't I answer it as well :)

6×2900÷3 what is that squared and why will it be that number

Answers

I'm assuming you mean the whole expression is squared?

Remember your order of operations.
PEMDAS- parentheses, exponents, multiplication, division, addition, subtraction. Work inside the parentheses first. Within the parentheses, multiply before dividing.

=(6×2900÷3)^2
multiply first within parentheses

=(17,400÷3)^2
divide next

=(5,800)^2
square (or multiply 5800 by itself)

=5800 * 5800

=33,640,000

ANSWER: 33,640,000 is the answer because according to the order of operations (PEMDAS), we work inside the parentheses first. Within the parentheses we multiply first and then divide. Finally we square that answer.

Hope this helps! :)

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