Step-by-step explanation:
An ice cream shop charges customers a set amount for one scoop of ice cream, plus a charge per topping. If two toppings would cost a total of $3.99, and 4 toppings $4.99, what is the rate per topping?
Answer:
$0.50 per topping
Step-by-step explanation:
x + 2t = 3.99
x + 4t = 4.99
x + 2t = 3.99
2t = 3.99 - x
t = 1.995 - 0.5x
x + 4t = 4.99
x + 4(1.995 - 0.5x) = 4.99
x + 7.98 - 2x = 4.99
7.98 - x = 4.99
-x = -2.99
x = 2.99
t = 1.995 - 0.5(2.99)
t = 1.995 - 1.495
t = 0.50
The rate per toppings is given by the equation A = $ 0.50
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the cost of the toppings be represented as A
Now , the equation will be
The cost of 2 toppings = $ 3.99
So , 2A = 3.99 be equation (1)
The cost of 4 toppings = $ 4.99
And , 4A = 4.99 be equation (2)
Subtracting equation (1) from equation (2) , we get
4A - 2A = 4.99 - 3.99
On simplifying the equation , we get
2A = 1.00
Divide by 2 on both sides of the equation , we get
A = $ 0.50
Therefore , the value of A is $ 0.50
Hence , the cost of one toppings is $ 0.50
To learn more about equations click :
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Need help for math! Open the picture above number 7 thank you
Answer:
1975....?
Step-by-step explanation:
3.860x10^3 - 1.885x10^3
What is the equivalent expression to (8^-5/2^-2)^-4
Answer:
8^20 / 2^8
Step-by-step explanation:
when it is raised. you multiply it.
Function Homework f(x) g(x)
Answer:
5x-1
Step-by-step explanation:
Harold worked 40 hours between Monday and Friday and then more hours during the weekend. Over the whole week, he worked over 52 hours. (Use h as a variable.)
Answer:
h=12
Step-by-step explanation:
I think the question is asking how long he worked over the weekend.(sorry if that's not what they were asking)
More specifically: h is greater than or equal to 12
What’s the answer? -17 - 13.9
Answer:
-4.1
Step-by-step explanation:
Answer:
-17 - 13.9 = -30.9
Step-by-step explanation:
when subtracting negative and positive numbers you get a negative:
- - + = -
hola , alguien me podria decir cuanto es x+y=47 , tomando en cuenta que 40 alumnos y 14 profesores van de viaje , y en el hotel que se quedaran , los alumnos dormiran en cuartos dobles (2 camas) y los profesores en sencillas (1 cama) , y sumando en total son 47 habitaciones y 79 camas , y la incognita x es las habitaciones sencillas y la incognita y son las habitaciones dobles
Answer:
Step-by-step explanation:
40s=40×2=x
14t=14×1=y
40s=80
x=80
14t=14
y=14
can anyone help me with this question?
9514 1404 393
Answer:
E. 37
Step-by-step explanation:
Adjacent angles of a parallelogram are supplementary:
(4x -2)° +34° = 180°
4x = 148 . . . . . . . . . . . divide by °, subtract 32
x = 37 . . . . . . . . . . . . . divide by 4
what would be in the 100th number 3,5,7,9,11
Find the slope of the line that passes through (8, 9) (6, 12)
Please help
Leo works at McDonalds, and gets paid $8.50 hr. He passed his store’s inspection and received a $100 bonus.
Write an equation that represents the given relationship.
Answer:
$8.50hr+ $100=x
Step-by-step explanation:
His $8.50 per hour is given to him plus $100 bonus.
- (-6x + 6) + 3 = 3 + 4x
I need help
Answer:
x=3
Step-by-step explanation:
-1(-6x + 6) + 3 = 3 + 4x
6x - 6 + 3 = 3 + 4x
6x - 3 = 3 + 4x
2x - 3 = 3
2x=6
x=3
Answer:
x=3
Step-by-step explanation:
-(-6x+6)+3=3+4x
6x-6+3=3+4x
6x-3=3+4x
6x-4x=3+3
2x=6
x=6/2
x=3
final answer
thank you bro
Factor completely x2 − 7x + 18. (1 point)
Prime
(x − 9)(x − 2)
(x − 9)(x + 2)
(x + 9)(x + 2)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] {x}^{2} - 7x + 18 = (x - 9)(x + 2) \\ [/tex]
Thus the correct answer is the second one.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
solve for x
3(x-2)-2x+3=-12
help plz
Answer:
x = -9
Step-by-step explanation:
First, subtract 3 from both sides of the equation and distribute the 3 to the x and -2.
3x - 6 - 2x = -15
Now, add the 6 to both sides of the equation and combine 3x and -2x.
x = -9
The value of x is -9.
Example
Find an equation of the line containing the points (2, 2)
and (-6, -4),
Solution First, we find the slope:
Answer:
6/8
Step-by-step explanation:
y^1-y^2/x^1-x^2
2+4/2+6
6/8
Answer:
Step-by-step explanation:
y=.5x+-1 ?
Paralympics/Biking: List 3 ways math is used in biking
Please helppp
Answer: Calculating miles, calculating burned calories, and finding out your target heart rate.
Step-by-step explanation:
Answer:
Angles, the circumference of the wheel, and ratios for the gears
Step-by-step explanation:
Without these, a bike can't function.
Is √38 rational or irrational
Answer:
Rational
Step-by-step explanation:
Answer:
irrational
Step-by-step explanation:
because it does not simplify into a whole number
WHAT IS 9+10 I NEED HELP NOW!!!!!!!
Answer:
21
Step-by-step explanation:
bc yes
Answer: 19
Step-by-step explanation:
If 10 plus 10 is 20, 10 plus 9 is 19
Nico earns $12.50 per hour as a math tutor. Show that the relationship between the amount he earns and the number of hours he tutors is a proportional relationship. What is the constant of proportionality (k). Then write the equation for the relationship.
Answer:
12.50k
Step-by-step explanation:
I came to this answer as k is the number of hours, and 12.50 is how much per hour.
the sum of two numbers is -18. if the first number is 10 which equation represents this situation and what is the second number?
Please help me!! Thanks!!!
Answer:
yessirrr
Step-by-step explanation:
1. They are all 100 degrees
2. They are once again all 150 degrees
294 is equal to the quotient of f and 373
Write the sentence as an equation
Answer:
f/373 = 294
Step-by-step explanation:
Solve the equation x32 +10 =118
Answer:
x=1.157563
Step-by-step explanation:
Answer:
x = 3.375 :)
Step-by-step explanation:
32x+10=118
32x=108
108/32= 3.375
Find the solution when x=2 and y=6
x(7+ y) - 5
Answer:
21
Step-by-step explanation:
2(7+6)-5
2(13)-5
26-5
21
Stu hiked a trail at an average rate of 3 miles per hour. He ran back on the same trail at an average rate of 5 miles per hour. He traveled for a total of 3 hours. The equation 3t = 5(3 – t) can be used to find the time it took Stu to hike one way. How long did it take Stu to hike the trail one way? hours How long is the trail? miles What is the total distance Stu travelled? miles
Answer:
Time taken to travel at 3 miles = 1.875
Time taken to travel at 5miles = 1.125
Total distance = 11.25
Step-by-step explanation:
D = speed x time
Time = distance/speed
Time at 3 miles per hour and 5 miles per hour
T1 = d/3
T2 = d/5
Total time = 3 hours
T1+t2 = 3 hours
d/3 + d/5 = 3
= d(1/2+1/5) = 3
d(5+3/15) = 3
d(8/15) = 3
We cross multiply
8d = 45
d = 45/8
= 5.625 miles
Total distance = 2d
2x5.625 = 11.25 miles
Since d is now known
T1 = 5.625/3 = 1.875 hours also 1 hour 52.5 minutes
T2 = 5.625/5 = 1.125 hours = 1 hour 7.5 minutes
Total distance 2xd = 11.25
Answer:
the answer is
A. 1.875 hours
C. 5.625 miles
D. 11.25 miles
Step-by-step explanation:
magic
There were 3 boys for every 4 girls in the group. If there were 20 girls, how many students in all went on the field trip?
Answer:
35 students
Step-by-step explanation:
15 Boys and 20 girls
Hope this is what you needed!
Answer:
Step-by-step explanation:
3 Boys= 4 Girls
[tex]\frac{3}{4} = \frac{boys}{girls}[/tex]
[tex]\frac{3}{4} = \frac{boys}{20}[/tex]
boys= 15
Total students: 15+20=35 students
Ink cartridges are heavy 1/4 pound. The total weight of the cartridges in a box is 2 1/2 pounds. How many cartridges does the box contain?
Answer:
10 cartridges
Step-by-step explanation:
2x4+2=10
hope this helps
549 divided by 61. Dont round the answer
Answer:
9
Step-by-step explanation:
Answer: The Answer is 9 i'm really sure this is the answer
Julla typed 374 words in five minutes in her keyboarding class. At this rate, how many words could she type in 11 minutes?
Answer:
822.8 Words.
Step-by-step explanation:
First, divide 374 by 5 to find the amount of words "Julla" can type in 1 minute. This should give you 74.8 words. Then multiply this by 11 to find the amount of words "Julla" can type in 11 minutes. By doing this, we can get 822.8 words. You may want to round this up to 823 words.
Hope this helps! Let me know.
Car A travels 127 miles in 4 hours. Car B travels 350 miles in 4 hours. Car C travels 583 miles in 14 hours. Which car has the fastest average speed?
Answer:
B is the answer