MATH QUESTION DOWN BELOW

The number is 19.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

The sum of twice a number and 17 is 55.

So, let the number be x

2x+ 17= 55

2x = 55 - 17

2x = 38

x= 19

Hence, the number is 19.

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The quotient of the expression (48a³bc²) ÷  (3abc) will be 16a²bc.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ (48a³bc²) ÷  (3abc)

Simplify the expression, then we have

⇒ (48a³bc²) ÷  (3abc)

⇒ 16a²bc

The quotient of the expression (48a³bc²) ÷  (3abc) will be 16a²bc.

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Answer:

[tex]F'(15,\ 30),\ U'(25,\ 10),\ T'(10,\ -15),\ B'(-15,\ -10),\ O'(-25,\ 5),\ L'(-10,\ 25)[/tex]

Step-by-step explanation:

We known that ,

When a figure (with coordinate (x,y)) gets dilated by a scale factor k from origin (0,0) , then the coordinate of the new image will become :-

[tex](x,y)\to(kx,ky)[/tex]

Given : Hexagon FUTBOL has coordinates F(3,6), U(5,2), T(2,-3), B(-3,-2), O(-5,1) and L(-2,5), and it is dilated by scale factor of 5 centered at origin.

Then, the coordinates of F'U'T'B'O'L' will be :-

[tex]F(3,6)\toF'(5(3),\ 5(6))=F'(15,\ 30)[/tex]

[tex]U(5,2)\toU'(5(5),\ 5(2))=U'(25,\ 10)[/tex]

[tex]T(2,-3)\toT'(5(2),\ 5(-3))=T'(10,\ -15)[/tex]

[tex]B(-3,-2)\toB'(5(-3),\ 5(-2))=B'(-15,\ -10)[/tex]

[tex]O(-5,1) \toO'(5(-5),\ 5(1))=O'(-25,\ 5)[/tex]

[tex]L(-2,5) \toL'(5(-2),\ 5(5))=L'(-10,\ 25)[/tex]

Hence, the coordinates of F'U'T'B'O'L' will be :-

[tex]F'(15,\ 30),\ U'(25,\ 10),\ T'(10,\ -15),\ B'(-15,\ -10),\ O'(-25,\ 5),\ L'(-10,\ 25)[/tex]

Answer: The number of books in Jason's collection is 21 , and the number of books in Nathan's collection is 24 .

Step-by-step explanation:

Let x represent the number of books Jason has and y represents the number of books Nathan has .

Then , According to the question , we have

[tex]6x+\dfrac{1}{3}y=134..........................(1)\\\\\dfrac{1}{3}x+y=31.....................................(2)[/tex]

Multiply 9 in equation (1) and and 3 in equation (2), we get

[tex]54x+3y=1206..................................(3)\\\\x+3y=93.............................................(4)[/tex]

Subtract equation (4) from equation (3), we get

[tex]53x=1113[/tex]

Divide 53 on both sides, we get

[tex]x=21[/tex]

Put the value of x in (2), we get

[tex]\dfrac{1}{3}(21)+y=31\\\\\Rightarrow\ 7+y=31\\\\\Righarrow\ y=24[/tex]

Hence, The number of books in Jason's collection is 21 , and the number of books in Nathan's collection is 24 .

Final answer:

Three out of eight slices of pizza have been eaten, which is represented as the fraction 3/8.

Explanation:

If a pizza is divided into 8 pieces and 3 pieces are eaten, the fraction of the pizza that has been eaten is 3/8. To arrive at this fraction, you count the number of pieces eaten (3) and place that number over the total number of pieces the pizza was cut into (8). This fraction simply implies that for every eight slices that make up the whole pizza, three slices have been consumed. Fractions are a basic concept in mathematics that represent parts of a whole, and understanding how to express and manipulate these is crucial.

Final answer:

Mr. Young has 60 pencils, and the whole school has 400 pencils, calculated by multiplying Jack's 2 pencils by 30 and 200 respectively.

Explanation:

Mr. Young has 30 times as many pencils as Jack. If Jack has 2 pencils, then to find out how many pencils Mr. Young has, we simply multiply Jack's number of pencils by 30:

Mr. Young's pencils = Jack's pencils × 30

Mr. Young's pencils = 2 × 30 = 60 pencils.

Similarly, the whole school has 200 times as many pencils as Jack. To find out how many pencils the whole school has, we multiply Jack's number of pencils by 200:

The whole school's pencils = Jack's pencils × 200

The whole school's pencils = 2 × 200 = 400 pencils.

2,323 items

Given:

Question:

How many total items will be in the collage? Use mental math to solve explain your thinking.

The Process:

From the information above, let us create a suitable diagram as follows:

[tex] \boxed{23} \boxed{23} \boxed{23} \ ... \ \boxed{23} \boxed{23} [/tex]

  1     2   3   ... 100  101

To obtain the total amount of items that will be in the collage, we multiply 101 by 23.

[tex]\boxed{ \ 101 \times 23 = \ ? \ }[/tex]

Prepare 101 as 100 + 1, rearrange the diagram.

[tex] \boxed{23} \boxed{23} \boxed{23} \ ... \ \boxed{23} \boxed{23} + \boxed{23} [/tex]

  1     2   3   ...  99   100  +  1

Now, let us calculate.

[tex]\boxed{ \ = (100 + 1) \times 23 \ }[/tex]

[tex]\boxed{ \ = (100 \times 23) + (1 \times 23) \ }[/tex]

[tex]\boxed{ \ = 2300 + 23 \ }[/tex]

[tex]\boxed{\boxed{ \ = 2323 \ }}[/tex]

Thus there are 2,323 total items will be in the collage.

Keywords: The Lason school, turns 101 years old, in June, in order to celebrate, they ask, each of 23 classes, to collect 101 items, make a collage, how many total items, will be, use mental math

Answer:

1/4

Step-by-step explanation:

If Marita ate 1/2 pint of Chocolate Ice Cream and Frankie did 3/4 ice cream.

The point here is quantity of Ice Cream

Since 3/4 is > 1/2

3/4 -1/2= [tex]\frac{3-2}{4}=\frac{1}{4}[/tex]

Therefore Frankie ate 1/4 of ice cream more than Marita did

When 32 is divided by opposite of 4 then result is - 8.

Here,

The statement is;

''thirty two divided by the opposite of 4''.

What is additive inverse ?

Additive inverse of a number is such a number when the original number and it's additive inverse is added we get zero.

Now,

Since, 4 + ( - 4 ) = 0.

So, the additive inverse of 4 is - 4.

Hence, According to the given question we have to obtain the result when 32 is divided by opposite of 4.

Here, opposite of 4 means additive inverse of 4 which is -4.

⇒ 32 ÷ -4 = - 8.

Hence, When 32 is divided by opposite of 4 then result is - 8.

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61.45 times 8.5% = 5.22

61.45 + 5.22 = 66.67 total bill with tax

66.67 * 15% = 10.00

66.67 + 10 = 76.67 Total bill with tip

Answer:

Part A:The total cost can then be estimated as 20 × 30 = $600

Part B:  Estimating the total cost with compatible number = 25 × 20 = $500

Step-by-step explanation:

Part A

Rounding off a number simply means making the number simpler but the rounded value should be close to the actual number. The number could be rounded to the nearest ten, hundred or thousand. The field trip to the zoo involved 22 student and the cost for each student is $26. The question ask to round each factor before estimating the total cost of the student's field trip. The number of student rounded to the nearest ten is 20 and the cost for each student rounded to the nearest ten is $30. The total cost can then be estimated as 20 × 30 = $600

Part B

Part B request we use compatible numbers to estimate the total cost of the field trip. Compatible numbers are numbers that are easy to calculate mentally. This pairs of numbers are easy to add, subtract, divide and multiply mentally. Using compatible numbers the cost can be 25 and the number of student can be 20. Estimating the total cost = 25 × 20 = $500

Note the actual total cost is 26 × 22 = $572

Answer:

B. The graph has two y-intercepts.

Step-by-step explanation:

Answer:

The net force is 8N.

Step-by-step explanation:

Consider the provided information.

Two forces cancel each other if they are in opposite direction and the forces are equal, the net force is zero in this case.

Now consider the figure 1:

Here, vertical forces (up and down) cancel each other and horizontal forces do not cancel each other, thus the force is unbalanced.

Calculate the net force as shown:

[tex]F_{net} = F_g + F_n + F_f + F_a[/tex]

Substitute [tex]F_g=-20, F_n=20, F_f =-14, F_a=22[/tex] in above  formula.

[tex]F_{net}= -20 + 20 -14 + 22 = 8 N[/tex]

Hence, the net force is 8N.

Answer:

Step-by-step explanation:

Given that a rental car company charges $150.00 for a weekly rental and an additional $0.20 for each mile driven

i.e. C = 150+0.20m where m stands for one mile  driven.

i.e. even if a single mile is not driven also fixed rental of 150 dollars have to be paid

m can take a maximum of 200 miles

i.e. Domain = values of m =

[tex]0\leq m\leq 200[/tex]

Since m has a ceiling of 200, Cost can take maximum value of

C(200) = 150+40 =190

Thus C will lie between 150 and 190 only

So graph will have domain as between 0 and 200 and range as between 150 and 190

To calculate the total amount Zuma spent on a snowboard, first determine the sale price by subtracting the discount from the original price, then add the sales tax to the sale price. Zuma spent a total of $238.95 on the snowboard after a 25% discount and an additional 8% sales tax.

To find out how much Zuma spent to buy the snowboard, we have to first calculate the discounted price of the snowboard and then add the sales tax to it.

Step 1: Calculate the discount amount by multiplying the original price by the discount rate in decimal form.

Discount = Original Price × Discount Rate

Discount = $295 × 0.25 = $73.75

Step 2: To find the sale price, subtract the discount amount from the original price.

Sale Price = Original Price - Discount

Sale Price = $295 - $73.75 = $221.25

Step 3: Calculate the sales tax by multiplying the sale price by the tax rate in decimal form.

Sales Tax = Sale Price × Tax Rate

Sales Tax = $221.25 × 0.08 = $17.70

Step 4: To find the total amount spent, add the sales tax to the sale price.

Total Spent = Sale Price + Sales Tax

Total Spent = $221.25 + $17.70 = $238.95

Zuma spent $238.95 to buy the snowboard.