3) When Jackie took her children to the movie theater, she bought one box of candy and three small drinks for
$14.75. When Alex went to the same theater and bought two boxes of candy and five small drinks, he paid
$26.
a) Set up a system of equations to model this situation. Be sure to define the variables that you use.
b) Determine, algebraically, the cost for one box of candy and one small drink
Answer:
c + 3d = 14.75
2c + 5d = 26
A box of candy is $4.25 and a drink is $3.50
Step-by-step explanation:
Let c represent the cost of a box of candy and let d represent the cost of a drink
c + 3d = 14.75
2c + 5d = 26
Solve by elimination by multiplying the top equation by -2
-2c - 6d = -29.5
2c + 5d = 26
Add them together
-d = -3.5
d = 3.5
Plug in 3.5 as d into one of the equations to solve for c
c + 3d = 14.75
c + 3(3.5) = 14.75
c + 10.5 = 14.75
c = 4.25
So, a box of candy is $4.25 and a drink is $3.50
Please Help Me With This Problem (Math)
Zack delivers mail for the post office. Every day he walks a 7-mile route. How many miles does Zack walk in one month if he works 22 days that month?
Answer:
22*7= 154 miles
Step-by-step explanation:
Answer:
154 miles.
Step-by-step explanation:
7×22=154, just multiply
Help please thank you
Solve (4-2) x 32
plz help
Answer:
64
Step-by-step explanation:
Hope it helps!
Answer:
64
Step-by-step explanation:
parenthesis first
(4-2)= 2
2x32= 64
Please help me!
STU is an equilateral triangle. If ST is one less than twice x, SU is 37 less than five times x, and TU is 11 more than x, find x and the measure of each side.
Answer:
x = 12Side = 23 unitsStep-by-step explanation:
STU is an equilateral triangle. And:
ST = 2x - 1SU = 5x - 37TU = x + 11All sides are equal. Then take one pair and solve for x:
2x - 1 = 5x - 373x = 36x = 12Substitute x to find the side length:
2x - 1 = 5x - 37 = x + 11 = 23HELP ASAP WILL MARK BRAINLIEST
Answer:
6 ride passes
4 additional items
Step-by-step explanation:
11.
[tex]T=5.50R+10*7.25[/tex]
[tex]for T=105.50[/tex]
[tex]R=6[/tex]
While
T is total cost.
R number of ride passes.
12.
[tex]T=1.25n+4.75[/tex]
[tex]for T=9.75[/tex]
[tex]n=4[/tex]
While
T is total paid.
n is number of addition items.
simplify 2x+1+3x+2 iohehtorgewiugfegvtwqugfewiufyvayu
Answer:
5x+3
Step-by-step explanation:
Solve for n. -4n + 7 = 1 – 2n
Answer:
n = 3
Step-by-step explanation:
subtract 1 from both sides to get:
-4n + 6 = -2n
then add 4n to both sides to get:
6 = 2n
then divide both sides by 2 to get:
3 = n
Study lamps are packed 2 in a carton. The dimensions of the carton are 2.5 feet by 1.25 feet by
1.75 feet. The Supply Store wants to order 200 pairs of lamps. How much storage space will the
Supply Store need to store the lamps?
Answer:
hahahhahahahahahahahahahahahaha
A system of equations is shown on the graph below.
On a coordinate plane, 2 lines intersect at (negative 1, 2).
How many solutions does this system have?
no solutions
one unique solution
two solutions
an infinite number of solutions
Answer: One unique solution.
Step-by-step explanation:
When we have a system of linear equations like:
y = a*x + b
y = c*x + d
We have 3 possibilities:
1) There is only one solution, this happens when in the graph, the lines intersect at only one point.
2) There is no solution, in this case, the lines never intersect, this would be the case of two parallel lines.
3) We have an infinite number of solutions, this happens when both lines intersect in an infinite number of points, and this can only happen when both lines are the same line.
In this case, we know that we have two lines and they intersect in only one point, (-1, 2)
Then we have only one solution, and the solution is (-1, 2)
Answer:
B
Step-by-step explanation:
what is 4w = -20 can someone please help me with this question
Answer:
w=−5
Step-by-step explanation:
Answer: w = -5
Step-by-step explanation:
use the image below to answer questions 8-9
rhombus JKLM
8. find the measure of angle 1
9. find the measure of angle 2
Answer:
Angle 1=42.5
Angle 2=95
PLEASE HELP
let f be the function defined by f (x) = 3x^2 - x^3. what is the absolute value of f on the closed interval [ 1, 5/2 ]
Answer:
2
Step-by-step explanation:
As per the interval, x = 1 and y = 5/2
Substitute x into the expression:
3 - 1 = 2
Write 175 as a product of its prime factors.Write your answer in index form
The length of a rectangle is twice the width. The area is 8 yd^2. Find the length and the width.
Answer:
width be x
length = 2x
Area = L*W
x*2x =8
Step-by-step explanation:
Evaluate: log6 1,296
Answer:
4
Step-by-step explanation:
Using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex] then
let [tex]log_{6}[/tex] 1296 = n
1296 = [tex]6^{n}[/tex] = [tex]6^{4}[/tex] , thus
n = 4
how do you solve these kinds of equations? (3x+5) (3x+5)
Answer:
-5/3
Step-by-step explanation:
(3x+5)(3x+5) is the factored form of the quadratic: 9x^2+30x+25
In equation form, it will be 9x^2+30x+25 = 0 so we have:
(3x+5)(3x+5) = 0
To solve these types of equations, we find the roots. Since the product of these numbers is 0, (3x+5) has to be equal to 0.
3x + 5 = 0
Subtract 5
3x = -5
Divide by 3
x = -5/3
What are the coordinates of point S'?
(2, 1)
(1, -2)
(-1, -2)
(2, -1)
Answer:
(2,-1)...........
Step-by-step explanation:
................
3
8 If xty 10 and - y = 6. What is the value of x
-y² ?
(.520 d-520
a 604
b. 504
Answer:
je sais pas miskine eu débrouille.toi demande à ton papa de t'aider ne pleure pas stp si pleure tu fera moins pipi au lit bisous
What two variables are used most often in 2-variable equations?
-9x5 + x3 + 4x + 3
SIMPLIFY NEEDED ASAP !
Answer:
it's already simplified
Step-by-step explanation:
Ralph’s annual income is about $32,000. Based on his expenses illustrated in the graph below, roughly how much should Ralph expect to pay in taxes this year?
A circle graph titled Ralph's Annual Expenses. Federal taxes, 29 percent; State/local taxes, 6 percent; Housing and household, 25 percent; Food, 8 percent; Medical care, 11 percent; Transportation, 7 percent; Recreation, 6 percent; Clothing, 5 percent; Other, 3 percent.
a.
$1,920
b.
$8,000
c.
$9,280
d.
$11,200
Please select the best answer from the choices provided
A
B
C
D
Answer:
$11200
Step-by-step explanation:
not that smart i hope u get i t right :)
Answer:
c
Step-by-step explanation:
y = 5x +7
y = 2x + 4
systems of equations
Please Help!!!
Jada's sister earns a commission. she makes 3.5% of the amount she sells. Last week she sold 9,000$ worth of furniture. How much was her commission?
This is me eont answer the question it's so it doesnt get taken down. What's the square root of 26.7?
Answer:
10000000000000000000000
Step-by-step explanation:
Hxhdnchdhxhdhdd helppppppp
Answer:
D.
Step-by-step explanation:
What is the slope intercept ?
Please help me !!
Answer:
y=mx+b
Step-by-step explanation:
Answer:
slope=3, y-intercept=1
Step-by-step explanation:
slope is rise/run, so if you rise 3 and run 1 on the line, you get 4 for the slope, the y intercept is where the line crosses the y-axis, in this situation, it crosses it at (0,1).
Brooke went to the hardware store and bought 20 identical copper pipes. When Brooke lined up the pipes end-to-end, the line was 1 meter long. How long was each pipe?
Answer: 5cm
Step-by-step explanation:
First and foremost, we should note that
1 meter = 100 centimeters
Therefore, since Brooke went to the hardware store and bought 20 identical copper pipes and their total length is 1 meter long which is 100cm, the length of each pipe will be the title length of the Pipe divided by the number of pipes. This will be:
= 100 / 20
= 5cm each.
Each pipe is 5cm long.
I don't understand these, please help!
Step-by-step explanation:
2A
x=1 y=3
x=4 y=0
y=mx+b
3=m+b
0=4m+b
3=-3m
m= -1
0=-4+b
b=4
y= -x +4
2B
x=2 y=0
x=0 y= -4
0=2m+b
-4=b
b=-4
0=2m-4
2m=4
m=2
y=2x-4
If the simple interest on $7000 for 3 years is $1890, then what is the interest rate?
Answer:
0.09 or 9%
Step-by-step explanation:
I = Prt
Given:
I = 1890
P = 7000
t = 3
Work:
I = Prt
r = I/(Pt)
r = 1890/(7000 x 3)
r = 1890/21000
r = 0.09