The Drink cost $1.75 each, and candy bars cost $0.75 each.
let
The price of a drink = x
The price of a candy bar = y
Bart total purchase
2x + 2y = 5Claudia total purchase
x + 4y = 4.75The cost of each can be calculated by combining the equations. Therefore,
2x + 2y = 5
x + 4y = 4.75
x = 4.75 - 4y
2(4.75 - 4y) + 2y = 5
9.5 - 8y + 2y = 5
9.5 - 6y = 5
-6y = -4.5
y = -4.5/-6
y = 0.75
2(0.75) + 2x = 5
1.5 + 2x = 5
2x = 5 - 1.5
2x = 3.5
x = 3.5/2
x = 1.75
Cost of a drink = $1.75
Cost of a candy bars = $0.75
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The product of three and a number increased by 7 is 16.
Answer:
The unknown number is 3
Step-by-step explanation:
3x+7=16
-7 -7
3x=9
_ _
3 3
x=3
Answer:
I think that the number is nine
Step-by-step explanation:
Find the inverse of each of the given funcions
fo) = 4x-12
51x)=
DONE
o
Let y be f(x)
[tex]\\ \sf\longmapsto y=4x-12[/tex]
Swipe the values
[tex]\\ \sf\longmapsto x=4y-12[/tex]
Isolate y[tex]\\ \sf\longmapsto 4y=x+12[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{x+12}{4}[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{1}{4}x+3[/tex]
Hence.
[tex]\\ \sf\longmapsto f^{-1}(x)=\dfrac{1}{4}x+3[/tex]
Let y=f(x)
y=4x-12Now interchange the variables
x=4y-12The y we need now
x+12=4yDivide both sides by 4
y=(x+12)/4This is the inverse
How many 1/4 cup servings are in 5/6 cups of yogurt?
Answer:
3.3
Step-by-step explanation:
1/4*3 = 3/12 (find lcd lowest common factor )
5/6 *2 10/12 figure out how many time 3 goes into 10 about 3.3 repeating
Answer: [tex]\right] \left[\begin{array}{ccc}0.3 cups\\\end{array}\right] \\[/tex]
Step 1: Write the problem as a mathematical expression.
1/4 and 5/6
Step 2: Convert the fraction to a decimal by dividing the numerator by the denominator.
0.3 cups
Definitions:
A. Fraction- A number used to name a part of a group or a whole. The number below the division line is the denominator, and the number above the division line is the numerator.
B. Expression- A mathematical symbol, or combination of symbols, representing a value, or relation.
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Olivia deposits $6,952 in a savings account paying 3.72% interest. To the nearest dollar, how much money does Olivia have in total after sixteen years?a.$4,138b.$8,568c.$11,090d.$29,901
Answer:
11090
Step-by-step explanation:
6952x.0372=258.61
258.61x16=4137.83
4137.83+6952=11090
Answer:
C on EDGE 2021
Step-by-step explanation:
if f(x)=3x-5 and g(x)=x², find (f o g)(3)
Answer:
(f ∘ g) (3) = 22
Step-by-step explanation:
f( x + 3x - 5; g (x) = x² ∴ g ( 3 ) = 3² = 9
( f ∘ g ) ( 3 ) = f(g(3)) = f ( 9 ) = 3 · 9 - 5 = 27 - 5 = 22 [Ans]
Graph: y+2= -3/4 (x + 4)
Click or tap the graph to plot a point.
The y-intercept of the line is (0, -5) and plot the coordinate points (0, -5) and (4, -8) on the graph.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
The given equation is y+2= -3/4 (x+4).
Graph the line using the slope and y-intercept, or two points.
Slope: -3/4
y-intercept: (0, -5)
Plot the coordinate points (0, -5) and (4, -8)
Hence, plot the coordinate points (0, -5) and (4, -8) on the graph.
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Mr. Chen hires an electrician to install the light fixtures for an addition to his house. The electrician charges an initial fee plus an hourly rate for the number of hours it will take to complete the installation. The function y=120+55x can be used to model the total cost of the job, in dollars. What is the independent variable in this situation, and what does it represent?
Step-by-step explanation:
y=120+55x
here,X = -24/11
Y=120
don't have time or else I would have shown the details
The independent variable in this situation is x and it represents the number of hours taken for installation
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Mr. Chen hires an electrician to install the light fixtures for an addition to his house.
The function y=120+55x can be used to model the total cost of the job, in dollars
The electrician charges an initial fee plus an hourly rate for the number of hours it will take to complete the installation.
initial fee=120
Here x is the independent variable which represents the number of hours taken for installation
Hence, the independent variable in this situation is x and it represents the number of hours taken for installation
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Harry drives a lot as a part of his job, and he notes that an upcoming trip is from the office to a meeting location that is 2 inches away on a map. The map uses a scale of 1 inch = 34 miles. What is the actual distance between the office and the meeting location?
Answer: The actual distance is 68 miles.
Step-by-step explanation:
Find the average rate of change of the function from X1 to X2.
Function
f(x) = -7x + 16
x-Values
X1 = 0, X2 = 3
Answer:
75-82, in Exercises 75-82, find the average rate of change of the function from x1 to x2. function f(x) = 3x +8 x-values x1=0, x2=3
PLEASE HELP DUE IN 30 MINUTES!!!
Shai has to bake a cake for a bake sale. The recipe calls for a quart of sugar. How many cups of sugar will Shai need?
A) 1.25 cups
B) 0.75 cups
C) 1.75 cups
D) 0.25 cups
Answer:
D
Step-by-step explanation: a cup is 4 quarts
40 Points! I'm counting on you TT
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Let's find the slope of the line using the points (0 , 4) and (-8 , 0) from the given graph :
Slope (m) :
[tex] \dfrac{y2 - y1}{x2 - x1} [/tex][tex] \dfrac{4 - 0}{0 - ( - 8)} [/tex][tex] \dfrac{4}{8} [/tex][tex] \dfrac{1}{2} [/tex]hence, the correct choice is C
Chu kỳ của hàm số y=sin 4 là:
it's the logique
show that for all x >0
Answer:
See belowStep-by-step explanation:
We can show that for x = 0, both sides of the inequality get the value of 1.
With x > 0, the left side goes towards - ∞ with the negative slope and the right side is always positive.
I'll give a graphical solution.
Hope this helps.
can someone help me please
Answer:
53 degrees
Step-by-step explanation:
m<J = m<Q
Solve x - (-9) = -14.
-23
23
5
-5
Answer:
Open the brackets for this,
x + 9 = -14
x = -14 - 9
x = -23.
-23 is the correct option.
Graph the inequality y < 1 - 3x
Answer:
13
Step-by-step explanation:
let (3x+24) represent the measure of a right angle. what are the possible values of x?
Answer:
x=22
Step-by-step explanation:
because 3x+24=90
3x=90-24
3x=66
x=22
brainlist please
Factor each polynomial x^2-9x+10
Show your work
Answer:
not factorable
Step-by-step explanation:
[tex]x^{2} - 9x +10\\[/tex]
The easiest way to factor is to find two numbers of the "a" value (the coefficient before [tex]x^{2}[/tex]) and the factors of the c value (10) that ADD up to give you -9, in this case it would be:
1 -10 --> 1(-10) gives you -10
1 -1 --> 1(-1) gives you -1
adding these together -10 + (-1) = -11 which does not equal -9.
You could stop here and conclude that this is not factorable by inspection.
Another method: using the quadratic formula to find its roots.
Roots: [tex](\frac{9-\sqrt{41} }{2}, 0)[/tex] and [tex](\frac{9+\sqrt{41}}{2}, 0)[/tex]
What is the value of the correlation coefficient r of the data set?
Scatter Plot Correlation Data Table
−0.81
−1
0.66
0.81
What is 4 ÷ 3/5 A.6 B.6 2/5 C.6 2/3 D.8
(about) 6.6 or 6 2/3
Your 2 year investment of $5,300 earns 2.9% and is compounded annually. What will your total return be?
The total return will be $5611.8
How to calculate the total return?A 2 year investment of $5,300 earns 2.9%
The investment is compounded annually
The total return can be calculated as follows
= 5300 (2.9/100 + 1)
= 5300 (0.029 + 1)
= 5300(1.029)²
= 5300(1.0588)
= $5611.8
Hence the total return is $5611.8
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plsss help it's urgent
Answer:
I think the answers are #4.A
#5.B
can somebody please help me with this, also show work so that way i can copy because this is due tmr and i have no clue how to do this at all, thank you so much! (also its 8th grade math)
I need help asap!! ty
Answer:
17/5
Step-by-step explanation:
put the value of pi in 2/3p+3
now,
[tex] \frac{2}{3} \times \frac{3}{5} + 3[/tex]
3 cancels 3 and
2/5 +3
=
[tex] \frac{2 + 3 \times 5}{5} [/tex]
hence your answer will be 17/5
138 cups of flour used in 46 dozen brownies. a
Answer:
whats the question?
Please help me solve this
Answer:
the answer will be something like 18
Hellur, I need help with geometry homework....
Answer:
24
Step-by-step explanation:
all 3 corners of any triangle adds to 180
the big triangle gives you 94 and 41 which equals 135. even though there's a line cutting off the last corner it still counts towards the 180 of the big triangle
180 - 135 = 45
now you know 2 corners of the smaller triangle
111+45 = 156
156+x= 180
x= 24
The force (F) needed to cause the acceleration (a) of an object of mass, m, is given by the equation, F=ma where m is the object’s mass. If a 12-Newton force causes the object to accelerate to 3 m/s2, what is that object’s mass? The unit for this mass is kg.
From Newton’s Second Law of Motion, the force needed to accelerate a moving object of mass m at acceleration a is given by ;
F = ma
In this case, m = 5kg, a = 6m/s^2 and we want to find F
F = 5 x 6
F = 30N
Therefore, a force of 30N is needed to accelerate a 5kg object at 6m/s^2.
.....HELPPP QUICK MATH TEST
Answer:
112
Step-by-step explanation:
Please help I don’t get the question
Answer:
I need this in essay form......
Phaeton, who has just discovered that is he is the son of the sun god, pays a visit to his father and makes a special request. In this passage consider how the author uses literary elements such as plot and language to reinforce the theme of the dangers of pride.