Answer:
Definitions matched below with vocabulary wordsStep-by-step explanation:
A number, a variable, or the product of a number and variable(s)
→ 3. termA letter used to represent an unknown number
→ 4. variableThe number in front of a variable in a term
→ 1. coefficientA single term, multiple terms connected by an addition or subtraction sign
→ 5. expressionA number, a term containing no variables
→ 2. constantA math student goes to an office supply store and purchases a total of 16 spirals and pencils. Each spiral costs $3. 50, and each pencil costs $1. 25. If the student spent a total of $29, how many pencils did the student purchase?.
The student purchase 12 pencils
Let the total number of pencils purchased be xLet the total number of spirals purchased be yIf a math student goes to an office supply store and purchases a total of 16 spirals and pencils, then;
x + y = 16 .................. 1
If each spiral costs $3. 50, and each pencil costs $1. 25 and the student spent a total of $29, hence;
1.25x + 3.5y = 29 ................. 2
Solve both equations simultaneously
x + y = 16 .................. 1 * 1.25
1.25x + 3.5y = 29 ................. 2 * 1
__________________________________
1.25x + 1.25y = 20.
1.25x + 3.5y = 29
Subtract both equations
1.25y - 3.5y = 20 - 29
-2.25y = -9
y = 9/2.25
y = 4
Substitute y = 4 into equation 1:
x + y = 16
x = 16 - 4
x = 12
This means that the student purchase 12 pencils
Learn more on simultaneous equations here: https://brainly.com/question/15165519
Nolan began a savings account three years ago. He invested $100 at a 2% interest rate according to the equation Vn = 100(1.02)x, where Vn is the value of his account after x years. Anias started an account today. She invested $100 at a 2% interest rate according to the equation Va = 100(1.02)x–3, where Va is the value of her account. Let’s say Anias started saving at the same time Nolan did, three years ago. Approximately how much money would she have had to invest to have the same amount of money she has now?
$5.77
$90.24
$94.23
$106.12
Answer: 94.23
Step-by-step explanation:
Find the equation of the line that
is parallel to y = 5x – 4 and
contains the point (4,5).
Answer:
y = 3+1/2
that should be the answer
Solve with elimination:
-2x - 4y = 8
-6x +24 = 12y
Ohh, Elimination Im doing that XD So its
Anwser - No Solution
Which of the expressions below has a product that is greater
than 140? Select all that apply.
A) 11.5 x 12
B) 11.85 x 12
C) 15.2 x 9
D) 23.4 x 6
You can earn 5 coins
show work! my teacher told me this was wrong, what's the correct answer?
Answer:
I do not know man but good luck
Bianca, Kelly, and Sara are running a race. They
complete the race in 2.35 hours. If the race was
51.7 miles, calculate their average speed.
Helppppppppp
Answer:
22 miles per hour
Step-by-step explanation:
1. Formula: speed = distance/time
2. s = 51.7 mi ÷ 2.35 hrs
3. s = 22 miles per hour
PLEASE HELP ASAP!!!
Complete this item.
For the following figure, can you conclude that l || m? Select true or false.
Answer:
d
Step-by-step explanation:
[tex] \qquad \quad\huge \bf༆ Answer ༄[/tex]
The statement is False !
If we observe the two line, we get the results that pair of corresponding angles in the given figure isn't equal. therefore we can conclude that the lines are not parallel
pls help pls no links
Answer:
d
Step-by-step explanation:
when you are dividing like numbers with different exponents, subtract them
Find: (4x2y3 2xy2 â€"" 2y) â€"" (â€""7x2y3 6xy2 â€"" 2y) Place the correct coefficients in the difference. X2y3 xy2 y.
The required coefficient is 11,-4 and 0.
Given expression is,
[tex](4x^2y^3 + 2xy^2- 2y) -(-7x^2y^3 + 6xy^2-2y)[/tex]
we have to find the coefficient of the above expression.
ON solving the above expression,
[tex](4x^2y^3 + 2xy^2- 2y) -(-7x^2y^3 + 6xy^2-2y)=4x^{2} y^{3} +2xy^2-2y+7x^2y^3-6xy^2+2y[/tex]
[tex](4x^2y^3 + 2xy^2- 2y) -(-7x^2y^3 + 6xy^2-2y)=11x^2y^3-4xy^2+0y[/tex]
Hence from the above expression, it is clear that the coefficient of [tex]x^2y^3[/tex] is 11,[tex]xy^2[/tex] is -4 and [tex]y[/tex] is 0.
For more details on coefficient follow the link:
https://brainly.com/question/10702726
In the auditorium there are 15 red chairs and 35 blue chairs. What is the ratio of the number of red chairs to the number of blue chairs?
Write your answer as two numbers separated by a colon (for example, 2:3).
3:7
This means that for every 7 blue chairs, there are 3 red chairs.
can you please help me with this question please
Answer:
c=$214.28
Step-by-step explanation:
Since you have the (p) value (p=285.7) all you need to do is plug it into one of these two equations
c=0.75p --- c=0.75(285.7)= 214.275-- 214.28
c=0.4p+100 --- c= 0.4(285.7) + 100 --- c= 114.28 +100 -- c= 214.28
either way its the same, just plug it into one or the other
Which number is equivalent to 2^−5⋅ 3 ⋅ 2^2 ⋅ 3^3?
A. 648
B. 216
C. 81/8
D. 27/8
[tex]2^{-5} \cdot 3 \cdot 2^2 \cdot 3^3\\\\=2^{-5 +2} \cdot 3^{1+3}\\\\=2^{-3} \cdot 3^4\\\\=\dfrac{3^4}{2^3}\\\\=\dfrac{81}{8}\\\\\\\text{So, the answer is C.}[/tex]
Omar drew a line that was 12 centimeters long. Which line is 5 centimeters shorter
Answer:
12 - 5 is 7 so the line would be 7 centimeters
Step-by-step explanation:
Answer:
the answer is 7
Step-by-step explanation:
12-5=7
one of the angles of a regular octagon has a measure of (7x-5) What is the value of x?
Answer:
x = 20
Step-by-step explanation:
The interior angles of a regular octagon have measures of ...
180° -360°/8 = 135°
We want that equal to the given expression.
7x -5 = 135
7x = 140 . . . . add 5
x = 20 . . . . . divide by 7
The value of x is 20.
Answer:
20
Step-by-step explanation:
Regular octagon means that each angle is 135 degrees, so 135 = (7x - 5).
135 = 7x - 5,
135 + 5 = 7x,
140 = 7x,
140 / 7 = x,
20 = x
There are 900 seats on a train. 540 of the seats are empty. What percentage of the seats on the train are empty?
60% of the seats on the train are empty
you have to divide 900 by 9 to get 100 because percents are out of 100, then you have to divide 540 by 9 also.
Answer:
60%
Step-by-step explanation:
Because there are 540 empty, and 900 total, you need to divide 540 by 900.
540/900=54/90=6/10=60/100
When you get 60/100, or 0.6, you know that it is 60 percent because percent is out of 100.
If and , find .
A.
B.
C.
D.
Answer: GOONNA BE BE SIRRRRR BTW I HAVE IPHONE 21345678
Step-by-step explanation:
A mirror is 24 inches high and 28 inches wide. The center of the mirror will hang 514 feet from the floor on a wall that is 8 feet high. What will be the distance from the top of the mirror to the ceiling once the mirror is hung on the wall?.
The distance from the top of the mirror to the ceiling once the mirror is hung on the wall is 21 inches
The dimension of the mirror is given as:
[tex]Height = 24\ in[/tex]
[tex]Width = 28\ in[/tex]
From the center of the mirror to the floor of the wall, the distance is:
[tex]Distance =5\frac14\ ft[/tex]
So, the distance to the top of the mirror will be:
[tex]Top = 5\frac 14\ ft + \frac 12 \times Height[/tex]
Substitute 24 for height
[tex]Top = 5\frac 14\ ft+ \frac 12 \times 24\ in[/tex]
[tex]Top = 5\frac 14\ ft+ 12 \ in[/tex]
Convert feet to inches
[tex]Top = 5\frac 14\times 12\ in+ 12 \ in[/tex]
[tex]Top = 63\ in+ 12 \ in[/tex]
[tex]Top = 75 \ in[/tex]
The distance from the top of the mirror to the ceiling is the difference between the height of the wall and 75 inches.
So, we have:
[tex]Distance = 8\ ft - 75\ in[/tex]
Convert feet to inches
[tex]Distance = 8\times 12\ in - 75\ in[/tex]
[tex]Distance = 96\ in - 75\ in[/tex]
[tex]Distance = 21\ in[/tex]
Hence, the distance is 21 inches
Read more about lengths at:
https://brainly.com/question/10545161
ABCD is a rectangle AB =15 centimeters AC = 25 cm Find The length of BC
Answer:
the answer is explained below (tap on the photo to view it fully)
Use a model to solve ten multiplied by three sevenths . Leave your answer as an improper fraction.
Group of answer choices
thirteen sevenths
thirty seventieths
thirty sevenths
thirteen seventeenths
Answer:
30/7
Step-by-step explanation:
use desmos ( look it up(
In AWXY, WY is extended through point Y to point Z, mZYWX = (20 + 12)",
,
mZWXY
(2x + 5)", and m_XYZ = (7x - 1). What is the value of x?
For any parallelogram what is not always true
Answer:
The diagonals are congruent.
Step-by-step explanation:
Answer:
1) The diagonals are congruent.
3) The opposite angles are congruent.
4) The opposite sides are parallel.
Step-by-step explanation:Two pairs of opposite sides are congruent. The diagonals are perpendicular to each other. 4 In parallelogram QRST, diagonal is drawn. Which statement must always be true?
if it does not work sorry
Mr.Wedmore works at a car dealership and earns a monthly salary of $2,000. He also earns 25% commission on the gross profit of the car sales. If Mr.Wedmore brought in $10,000 worth of profit, for the dealership, how much would he earn this month
Answer:
25% of 2000= 500
25% of 10000= 2500
Step-by-step explanation:
How to solve for x using the equation: 12 = -4 (- 6x - 3)
GOAL: Your goal is to create a collage out of real life scenario that involves one of the different kinds of variation. Create a collage showing how variation can be applied in the current situation in the world right now. ROLE: Artist AUDIENCE: Art Enthusiast SITUATION: You have participated in a contest and must make an artwork with a theme: “MATH IN THE NEW NORMAL: ADOPTING, CONNECTING AND ENJOYING”. As an aspiring artist you are going to show people how variation is important in real life. PRODUCT: Collage with problems and solution involving variation STANDARD FOR ASSESSMENT: Clarity, Accuracy and Creativity
Answer: How is this math
Step-by-step explanation: What can I help you with? I’m not sure what you’re asking
Rachel bought a sheet of fifty 34-cent stamps from the post office. she paid for the stamps with a $20 bill. how much money should she get back?
Mrs. Hill went to get an oil change, because she has a 20% off coupon. If the oil change is 35.00, how much is the discount?
In problem #1, how much does Mrs. Hill have to pay?
Answer:
28.00
Step-by-step explanation:
Find the volume of the box
Use the formula V = lwh
3x - 2, 2x + 1, x + 1
A. 6x^3 + x - 2
B. 6x^3 + 5x^2 - 3x - 2
C. 6x^3 - 2
D. 6x^3 - 13x^2 - 3x - 2
answer is B. detrjrajaetkterjaejq
Three men can build a wall in 8 days. How long will it take them if they have the help of 2 boys? Assume that each boy works half as fast as each man.
Uhmm I think around 70 days or 90
I'm not sure
Answer:
6 days
Step-by-step explanation:
1 boy workload = 1/2 1 man workload
2 boys workload = 1/2*2 = 1 man workload
so 3 men + 2 boys workload = 4 men workload
3 men ..... 8 days ... 24man-days to build
4 men ..... x days ... 24man-days to build
x=24/4=6
A new ferrari costs 213,054 how much would it cost after a 35% discount?
kinda need help fast
30 points
Answer:
138485.1
Step-by-step explanation:
35% of 213,054 = 74568.9
213,054 - 74568.9 = 138485.1