Set up 2 equations:
Total items sold: x + y = 300
This gets rewritten as x = 300-y
The second equation is for total amount made:
2.50x + 1.50y = 522
Replace x in the 2nd equation with the value of x from the first one:
2.50(300-y) + 1.50y = 522
Simplify:
750 - 2.50y + 1.50y = 522
Combine like terms:
750 - y = 522
Subtract 750 from both sides:
-y = -228
Divide both sides by -1 ( to make y positive)
y = 228
Now replace y in the first equation to solve for x:
x+ 228 = 300
Subtract 228 from both sides:
x = 72
He sold 72 bags of popcorn and 228 sodas.
100 points!!! Show your work on paper
Answer:
10 cm, 15 cmStep-by-step explanation:
Set ratios and solve for x
Corresponding sides are AC with A'C' and CB with C'B'
AC/A'C' = CB/C'B'(x - 1)/2 = (x + 4)/33(x - 1) = 2(x + 4)3x - 3 = 2x + 83x - 2x = 8 + 3x = 11Find the values of AC and CB:
AC = x - 1 = 11 - 1 = 10 cmCB = x + 4 = 11 + 4 = 15 cmAnswer:
AC=10cm
BC=15cm is your answer
How do I solve for x correctly?
Answer:
x = 3
Step-by-step explanation:
[tex] \triangle TFG\sim \triangle TUV... (given) [/tex]
[tex] \therefore \frac{FG}{UV}=\frac{TG}{TV} ... (csst) [/tex]
[tex] \therefore \frac{45}{63}=\frac{10x+5}{49} [/tex]
[tex] \therefore \frac{5}{7}=\frac{10x+5}{49} [/tex]
[tex] \therefore 10x+5= \frac{5\times 49}{7} [/tex]
[tex] \therefore 10x+5=5\times 7 [/tex]
[tex] \therefore 10x+5=35 [/tex]
[tex] \therefore 10x=35-5 [/tex]
[tex] \therefore 10x=30 [/tex]
[tex] \therefore x=\frac{30}{10} [/tex]
[tex] \therefore x=3[/tex]
Marks own a carpet store and sells hallway runners for k9.52/linear foot. a) How much is this per linear yard? b) How much is the per linear Meter? C) Ralph needs 3.9m of the runner for his hallway. How much will it cost? Full working out. Please calculate this for me
Answer:
28.56/linear yard
32.2256/linear meter
121.77984k
Step-by-step explanation:
a) Scale = k9.52*3 = 28.56/linear yard
b) Scale = k9.52*3.28 = 32.2256/linear meter
c) Cost = 3.9 * 32.2256 = 121.77984k
PLEASE ANSWER ASAP FOR BRAINLEST WITH WORK!!!!!!!!!!!!!!!!!!!!!!
here are some screenshots to help figure out the area of the figure!
thank you in advance!
btw im giving out 100 points and a brainlest so make sure to answer correctly.
Answer:
10
Step-by-step explanation:
I found the anser by multiplying 5 * 4 = 20, and then multiplying 2 * 2 = 4, then 3 * 2 = 6. Next you add 6 and 4, which equals 10. Finally you subtract 10 from 20 to find your answer of ten.
Hope this helps
Use elimination to solve the system of equations.
x – y = 5
x + y = 3
a
(–4, –1)
b
(4, 1)
c
(–4, 1)
d
(4, –1)
Answer:what
Step-by-step explanation:
what
I need help with this math problem please help.
Answer:
A
Step-by-step explanation:
since the shaded area is before x=-3 and x=-3 is a dashed line, x<-3 is the answer for x. That knocks out half the answers. the slope intercept form for the other line is y=-x-1. The answer with the slope as y would be the answer for the second half. A has both answers correct. (sorry for bad explaination, I am not a native speaker)
pls pls guys pls pls pls pls pls
Step-by-step explanation:
area of the parallelogram = height (h) × base ( b)
=. 4 m × 6 m
=. 24 m²
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
PLEASE HELP I AM STUCK
Answer:
Do the pythagor theorem and add 5
It's 65
Kenise will begin college as a freshman next fall and has received a 10-year $5,500 Federal Direct Unsubsidized Loan with an interest rate of 6.8%. She will be required to begin making payments six months after graduation. How much interest will accrue while she is still in school and over the six-month grace period? Please round to the nearest dollar. Do not include the dollar sign.
Answer: $3,927
Step-by-step explanation:
The interest will accrue as a simple interest rate for 10 years and then the grace period of six months.
The total time is therefore: 10.5 years.
Interest for those 10.5 years is:
= Loan amount * No. of periods * interest rate
= 5,500 * 10.5 * 6.8%
= $3,927
16 emails to 6 text messages- 10 emails to 4 text messages proportional or not
Given:
16 emails to 6 text messages- 10 emails to 4 text messages
To find:
Whether 16 emails to 6 text messages- 10 emails to 4 text messages proportional or not.
Solution:
Check the ratio of emails to text. If the ratios are equal then the relation is proportional.
16 emails to 6 text messages.
[tex]\dfrac{Emails}{Text}=\dfrac{16}{6}[/tex]
[tex]\dfrac{Emails}{Text}=\dfrac{8}{3}[/tex]
[tex]\dfrac{Emails}{Text}=8:3[/tex]
10 emails to 4 text messages.
[tex]\dfrac{Emails}{Text}=\dfrac{10}{4}[/tex]
[tex]\dfrac{Emails}{Text}=\dfrac{5}{2}[/tex]
[tex]\dfrac{Emails}{Text}=5:2[/tex]
Since [tex]\dfrac{8}{3}\neq \dfrac{5}{2}[/tex] or [tex]8:3\neq 5:2[/tex], therefore, it is not proportional.
From a point 80 m from the base of a tower, the angle of elevation to the top of the tower is 28°. How tall is
the tower (remember: 3 decimal places)?
The height of the tower is [A] m.
Answer:
42.537 m
Step-by-step explanation:
Let x = height of tower
tan 28 = x/80
x = 80 tan 28
x = 42.537 m
Solve 5x -2.5 = 17.5
Answer:
x=4
Step-by-step explanation:
5x-2.5=17.5
5x=17.5+2.5
5x=20
x=20/5
x=4
The solution of the given equation is x=4
What does it mean to solve an equation?An equation represents equality of two or more mathematical expression.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
We are given the equation as;
5x-2.5=17.5
Solving for x;
5x=17.5+2.5
5x=20
x=20/5
x=4
Learn more about solving equations here:
https://brainly.com/question/18015090
#SPJ2
you want branliest.more branliest giving out
Answer:
that is a cute dog
Step-by-step explanation:
1. very fluffy
2. small
3. sleeping
4. teddy bear dog :D
Round 7.5 to nearest whole number
Answer:
The answer is 8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
When a number has .5 after it you round up.
So, if a number has 5, 6, 7, 8, or 9 after the decimal round up
If a number has 1, 2, 3, or 4 after the decimal round down
Hope this helps!!
- Kay :)
simplify and factor this expression; 12x+18y+18x
Answer:
15x+9y
Step-by-step explanation:
1) Add: 12x+18x+18y= 30x+18y
2)Factor (divisible by 2)
3)Divide 2 from 30 and 18 so,
4)15x+9y
what is the Multiplicative of -12
multiplicative would be ;
-12 ------> 1/-12
16 Which equations represent a relationship where у
is a nonlinear function of x? Select all that apply.
A. y= 4x
B. x = - 6y
C. y = |x| + 1
D.
y=2+1
х
E. x - 5y = 2
F.
1 1
y = +
Answer:
b
Step-by-step explanation:
what is a collection of numbers and mathematical operations
Answer:
Algebraic (or numeric) expression (also referred to as phrase) A mathematical expression (numeric/algebraic) is one or a group of mathematical symbols representing a number or quantity. It may include numbers, variables, constants, operators, and grouping symbols. One side of an equation is also an expression.
Step-by-step explanation:
dekh mujhe brainliest mark karde agar nahi kiya toh tujhe report kardunga
Answer:
An algebraic expression is a collection of numbers, variables, operations, and grouping symbols. You will translate an unknown number as the variable x or n. The grouping symbols are usually a set of parentheses, but they can also be sets of brackets or braces.
Q2. Match the event with the most appropriate probability word: If a
multiple of 8 is chosen at random it will also be a multiple of 2.
Likely
Impossible
Certain
Evens
Unlikely
Other:
Is the area of a room measured in cm2 or m2
Answer:
m² would be the best unit if you want to measure a room.
Step-by-step explanation:
The unit cm² is too small and would be less exact.
Identify the pattern for the following sequence. Find the next three terms in the sequence.
-15, -11, -7, -3,
a. Subtract 4; -7, -11, -15
b. Add 4; 2, 6, 10
C. Subtract 4: 1,5, 9
d. Add 4; 1,5,9
Answer:
d. add 4; 1, 5, 9
Step-by-step explanation:
to get from -15 to -11, they had to add 4, and so on.
-3+4= 1
1+4= 5
etc.
19/20 and 23/25 common denominator
Hello!
The common denominator is 100.
~Sophia
if x=5 find the value of x squared
Answer: [tex]5^{2}[/tex] is 25. This is because 5 x 5 is 25.
Step-by-step explanation:
Answer:
squared is the result of multiplying a number by itself so if x= 5 then, 5 X 5 = 25 or [tex]5^{2} \\[/tex]
Step-by-step explanation:
Match each part of this algebraic expression with this appropriate description
Answer:
1) x and y --> Variable(s)
2) 1/6 --> Constant(s)
3) 12.1, 4.7, and 6 --> Coefficient(s)
4) 12.1x and 6x --> Like Terms
5) 12.1x, 4.7y, and 1/6 --> Terms
Plzzz help its easy points and easy question im just dum!! What is the slope view image below.
Answer:
0.5
Step-by-step explanation:
Answer:
1/5
Step-by-step explanation:
It's okay, you're not dum, you might have just not payed attention in online class or you might have forgotten.
We can find the slope by using 2 coordinates that are on a line.
We can choose any of the coordinates from this table. I'm gonna use (0, 4) and (2, 5)
The formula for find the slope is the rise over the run or
y1 - y2 / x1 - x2
4 - 5 / 0 - 5
-1 / -5
1/5
The slope is 1/5
I need help pls this is to confusing
Answer: the value of a is less than b because its to the left
Step-by-step explanation:
which number can be placed in the box to the
1 x 0 < 7 /
multiplying a fractions that
we
multiplying a fraction by all sake the
tolgatan greater than the
Les resep vieg traction greater than it
Answer:
A
Step-by-step explanation:
For the equation to be true, any number that would be multiplied by 7/5 should give us a number that is less than 7/5.
This means any number we are going to use to multiply 7/5 must not be less than 1.
²/3 is less than 1.
Let's multiply and see:
⁷/5 × ⅔ < ⁷/5
14/15 < ⁷/5 (this is true because ⁷/5 is greater than 14/15)
Therefore, the answer is A.
A vendor has 10 balloons for sale: 5 are yellow, 2 are red, and 3 are green. A balloon is selected at random and sold. If the balloon sold is yellow, what is the probability that the next balloon selected at random is also yellow?
Answer:
4/9
Step-by-step explanation:
Answer:
4/9
Step-by-step explanation:
T-shirts are on sale for 40% off. The original price per t-shirt is $20. What is the total cost, in dollars, of 8 of these t-shirts at the sale price, including an 11% sales tax?
Answer:
$106.56
Step-by-step explanation:
discounted price of each shirt is $12
12 x 8 = $96 for 8 shirt
96 x 1.11 = $106.56
Darren wants to save 1,125 for his vacation. When he saved 3 times as much as he has already saved, he will need only 27 more. how much has he saved so far
Answer:
125
Step-by-step explanation: