Solve for x.
3(3x - 1) + 2(3 - x) = 0
x = 3/7
x = -3/7
x = 1/3
x = -1/3
Zuma bought a snowboard with a regular price of $295. It was on sale at a 25% discount. There was an 8% tax on sale price. How much did Zuma spend to buy the snowboard?
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.
Explanation: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.
The graph of y = 4 – is shown.
Which statement about the graph is accurate?
The x-intercept of the graph is (4, 0).
The graph has no y-intercepts.
The maximum of the graph occurs at the y-intercept.
The minimum of the graph occurs at the x-intercept.
Answer:
B. The graph has two y-intercepts.
Step-by-step explanation:
The lason school turns 101 years old in June. In order to celebrate, they ask each of 23 classes to collect 101 items and make a collage. How many total items will be in the collage Use mental math to solve explain your thinking
2,323 items
Further explanationGiven:
The Lason school turns 101 years old in June. In order to celebrate, they ask each of 23 classes to collect 101 items and make a collage.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.
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the sum of twice a number and 17 is 55. Find the number. Explain also if possible
The number is 19.
What is Algebra?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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Six times Jason's collection of books and one-third of Nathan's collection add up to 134 books. One-third of Jason's collection and Nathan's entire collection add up to 31 books. The number of books in Jason's collection is , and the number of books in Nathan's collection is .
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 .
Find the quotient. 48a 3 bc 2 ÷ 3abc
The quotient of the expression (48a³bc²) ÷ (3abc) will be 16a²bc.
What is division?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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You have a restaurant bill of $61.45. If you are taxed 8.5% and decide to tip your server 15%, how much is your total?
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
Lots of boys in our class were keen on me I thought it was fun, felt honored, but was otherwise quite untouched. Which identifies the best meaning for the boldface term in the sentence.
Intellectually sharp
pointed or sharp-edged
Very strong and sensitive
romantically interested
7/12 × 3/7 × 1/2 = ?
Please include steps!!!!!
A rental car company charges $150.00 for a weekly rental and an additional $0.20 for each mile driven. The function rule C = 0.20+ 150.00 describes the relationship between the number of miles driven m and the total cost C. If the rental car can only be driven a maximum of 200 miles, what is a reasonable graph of the function rule?
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
It costs $2.80 to make a sandwich at the local deli shop. To make a profit, the deli sells it at a price that is 170% of the cost. The sandwich sells for $___. what is the answer?
WILL GIVE BRAINLIEST!!!! DON'T JUST GUESS THE ANSWER BE SURE OF IT LOOK BELOW TO ANSWER MY QUESTION.
Marita ate 1/2 pint of chocolate ice cream. Frankie ate 3/4 pint of strawberry ice cream. How much more ice cream did Frankie eat than Martia.
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
What is the product of 4x15x25
I need help with this
write the eqaution of a line perpendicular to 7x-9y=-8 that passes through the point ( -7,5)
A pizza is divided into 8 pieces, and 3 pieces are eaten. what fraction of the pizza has been eaten?
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.
Which expression has a value of 3?
a (12+6)÷3+3
b 12+6÷(3+3)
c (12+6)÷(3+3)
d 12+(6÷3+3)
At a dog park, there are 10 black dogs, 5 brown dogs, 2 white dogs, and 12 multi-colored dogs. For every 1 brown dog, there are 2 _____ dogs. A. Black B. White C. Multi-colored
thirty two divided by the opposite of 4
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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Which Set of numbers are ordered from least to greatest?
7, |-4|, -7, 0, -|3|, 3
-|3|, -7, 0, 3, 7, |-4|
-7, -|3|, 0, 3, |-4|, 7
7, |-4|,3,0, -|3|, -7
Audrey read that the area of a new shopping mall is 57,600square feet. What are the greatest and least possible actual areas of the mall if 58,000 square feet is an estimate to the nearest thousand?
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 five centered at origin.
What are the coordinates of F'U'T'B'O'L'?
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]
Draw two number lines that show 0.200 and 1/5 are equivalent
Divide −85 ÷ 5 Please answer
Which statement is correct about relations and functions?
All relations are functions.
All functions are relations.
No relations are functions.
No functions are relations.
Find the value of -7 + 3(-12) ÷ (-3).
-16
-19
-40
5
If f( n ) = n 2 - n , then f(-4) is _____.
-20
20
12
-12
Match the following.
1 .
substitute
wages of sin
2 .
judicial
deliverance from sin
3 .
law
to transgress God's law
4 .
salvation
to take the place of another
5 .
death
an offering for sin
6 .
sin
functions of judge and law courts
7 .
mercy
God's commandments and precepts
8 .
administration
compassion
9 .
sacrifice
fairness; commitment to what is right and true
10 .
justice
management of governmental affairs
Answer:
1: Substitute-To take the place of another
2: Judicial-Functions of judge and law courts
3: Law-God's commandments and precepts
4: Salvation-Deliverance from sin
5: Death-Wages of sin
6: Sin-To transgress God's law
7: Mercy-Compassion
8: Administration-Management of governmental affairs
9: Sacrifice-An offering for sin
10: Justice-Fairness; Commitment to what is right and true
Hope this helps!
What is the net force on this object? Small box with dot in the middle. Arrows originate at dot. Arrow up and Arrow down are same length. Arrow up labeled F sub norm equals 20 N and Arrow down labeled F sub grav equals 20 N. Arrow to the right is longer than arrow to the left. Arrow to the right is labeled F sub app equals 22 N and arrow to the left is labeled F sub frict equals 14 N. 0 newtons 8 newtons 22 newtons 36 newtons
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.
Mrs. Traynor's class is taking a field trip to the zoo. The trip will cost $26 for each student. There are 22 students in her class. Part A Round each factor to estimate the total cost ofthe students' field trip. Part B Use compatible numbers to estimate the total cost of the field trip.
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