Tyler bought two pieces of pizza and three diet Pepsi for $7.25 Scotty but for pizzas a pizza and diet Pepsi for $8.25 set up a system of equations to determine how much a slice of pizza cost and how much a diet Pepsi cost
Answer:
The cost of
1 slice of pizza = x = $1.75
1 diet pepsi = y = $1.25
Step-by-step explanation:
Let us represent:
The cost of
1 slice of pizza = x
1 diet pepsi = y
Tyler bought two pieces of pizza and three diet Pepsi for $7.25
2x + 3y = 7.25.......Equation 1
Scotty but four pizzas and a diet Pepsi for $8.25
4x + y = 8.25......Equation 2
Combining the Equations
2x + 3y = 7.25.......Equation 1
4x + y = 8.25......Equation 2
y = 8.25 - 4x
We substitute 8.25 - 4x for y in Equation 1
2x + 3(8.25 - 4x) = 7.25
2x + 24.75 - 12x = 7.25
Collect like terms
24.75 - 7.25 = 12x - 2x
17.5 = 10x
x = 17.5/10
x = $1.75
Solving for y
y = 8.25 - 4x
y = 8.25 - 4(1.75)
y = 8.25 - 7
y = $1.25
Therefore,
The cost of
1 slice of pizza = x = $1.75
1 diet pepsi = y = $1.25
4/5 + 6/10. Im sorry im just to lazy-
Answer:
1 2/5
Step-by-step explanation:
Mary found a pair of boots that cost $60. Sales tax is 7%. What is the total price Mary will pay for the boots?
Answer: $64.20
Step-by-step explanation:
Cost of shoe = $60
Sales tax rate = 7%
Sale tax = 7% × $60 = 7/100 × 60 = $4.20
The total price paid by Mary
= Cost of shoe + Sales tax
= $60 + $4.20
= $64.20
Amy spent 80 minutes on DFM last week.
This week, Amy spent 112 minutes on DFM.
Find the percentage increase.
Answer:
80:100
112:x
11200/80=x
x= 140
40% increase
Answer:
29%
Step-by-step explanation:
112-80=32
increase ÷ original × 100 %
= 32÷112×100%
≈29% (corrected to the nearest whole number)
I need help!! i don't understand this
Answer:
33
Step-by-step explanation:
After 3 months, $3,900 deposited in a savings account with simple interest had grown to a total of $4,017. What was the interest rate?
Answer:
12%
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 12%/100 = 0.12 per year,
then, solving our equation
I = 3900 × 0.12 × 0.25 = 117
I = $ 117.00
The simple interest accumulated
on a principal of $ 3,900.00
at a rate of 12% per year
for 0.25 years is $ 117.00.
18 is 40% of ___
23% of 20 is ____
20 is ___ % of 82
pls help
Answer:
18 is 40% of 45
23% of 20 is 4.6
24.390243902439025
Step-by-step explanation:
Need some help with multiplying algebraic fractions
Answer:
a=10, b=5, c=2, d=12
Step-by-step explanation:
Multiply each variable together
5*2=10
8*3=24
10[tex]x^{3}[/tex][tex]y^{2}[/tex]/24x
the coefficients (numbers) can each be divided by 2
5[tex]x^{3} y^{2}[/tex]/12x
subtract the "x" exponents together
5[tex]x^{2} y^{2}[/tex]/12
10:25 as a ratio simplified
Answer:
2 : 5
Step-by-step explanation:
divide by five for both
Answer:
2:5
Step-by-step explanation:
they both have 5 in common
hope this helps
MATH math help thanks (pls provide workings)
Answer:
At the point where x = 2.
Step-by-step explanation:
First find the derivative which gives us the gradient of the tangent at any point on the curve:
y = 5x^2 - 16x
y' = 5*2 x^(2-1) - 16 x(1-1)
y' = 10x - 16.
y' is the gradient at point of coordinate x.
So when the gradient = 4:
4 = 10x - 16
10x = 20
x = 2.
Answer:
x=2
Step-by-step explanation:
PLZ HELP DUE SOON!!!!!!!!!!!!!!!!
The figure shows a carpeted room. How many square feet of the room are carpeted?
A polygon that is a part of a rectangle is shown with perpendicular sides. The top is labeled 6 feet. The side on the left is labeled 8 feet. The base is labeled 2 feet, and the side adjacent to it on the right is labeled 3 feet
24 square feet
28 square feet
34 square feet
36 square feet
Answer:
36 ft
Step-by-step explanation:
Side = 8-3 = 5
6 x 5 = 30
3 x 2 = 6
Write down the first five terms in the
sequence below
-5n + 2
Answer:
1st= -3
2nd=-8
3rd=-13
4th=-18
5th=-23
Step-by-step explanation:
8. A square has side length 6 inches. A parallelogram has a base of 6 inches.
The area of the square is equal to the area of the parallelogram. What is the
height of the parallelogram?
Answer:
6?
Step-by-step explanation:
umm. maybe im wrong but 6 x 6 is thirty six so im pretty sure its 6.
PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!
Answer: X=4 Y=-6
Step-by-step explanation:
Well we know that y= -4x+10
So we can input that into the bottom equation
2x +2(-4x+10) = -4
2x +-8x+20=-4
-6x + 20= -4
-6x = -24
x = 4
We also have to find the value of Y
y=-4(4)+10
y= -16 + 10
y=-6
Answer:
Step-by-step explanation:
2x + 2y = -4
Substitute (-4x+10) for y:
2x + 2(-4x+10) = -4
2x -8x + 20 = -4
-6x = -24
x = 4
Write down the exact value of:
a) cos 0
b) sin 30°
c) tan 0°
Answer:
cos0 = 1
sin30= 1/2
tan0 = 0
Answer:
[tex]a) cos0^o = 1\\b) sin30^o = \frac{1}{2} \\c) tan0^o =0[/tex]
pls pls pls someone help me
Answer:
I can't see the picture it's a black screen
Lucas jogged 1/3 mile in 4 minutes. He divided to find how far he jogged per minute, but he made a mistake. Which reason explains why his answer might be wrong?
Answer:
jndcxiaojdncijadmcijwmqdijxcmc
Step-by-step explanation:
A possible error is (c) C.12×4 does not equal 13.
How to determine why he might be wrongFrom the question, we have the following parameters that can be used in our computation:
Rate = 1/3 miles in 4 minutes
When converted to unit rate, we have
Rate = 1/3 miles/4 minutes
Evaluate the quotient
So, we have
Rate = 1/12 miles per minute
This means that a possible error is (c) C.12×4 does not equal 13.
Read more about expressions at
https://brainly.com/question/30492964
#SPJ6
Question
Lucas jogged 13 mile in 4 minutes. He divided to find how far he jogged per minute, but he made a mistake. Which reason explains why his answer might be wrong?
A.There are more than 12 equal parts in 13 of a whole.
B.When 13 of a whole is split into equal parts, each part is greater than 13.
C.12×4 does not equal 13.
D.The answer must be a whole number.
13. A fast food restaurant sells hamburgers and hotdogs. One day you go in and get 4
hamburgers and 3 hotdogs for $25.50. The following week you go in and get 9 hamburgers and
2 hotdogs and pay $45.50. What is the price of 1 hamburger? What is the price of 1 hotdog?
WRITE and SOLVE a system of equations to solve this problem. Make sure to clearly define
your variables.
Step-by-step explanation:
4x+3y=$25.50
9x+2y=$45.50
8x+6y=51
-27x-6y=$-136.50
-19x=-85.50
x=4.5
Cost to store: $55
Markup. 120%
selling price :
quickly please <3
Answer:
Determine your COGS (cost of goods sold). ...
Find out your gross profit by subtracting the cost from the revenue. ...
Divide profit by COGS.Step-by-step explanation:
Nasim is ordering a taxi from an online taxi service. The taxi charges $3 just for the
pickup and then an additional $1 per mile driven. How much would a taxi ride cost if
Nasim is riding for 4 miles? How much would a taxi ride cost that is m miles long?
Answer:
7
Step-by-step explanation:
the answer is $7 for a 4 mile ride
Nasim pays $7 for 4 miles.
For miles the taxi charges are (3+ m).
What is 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. LHS = RHS is a common mathematical formula.
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.
The taxi charges $3 just for the pickup and then an additional $1 per mile driven.
let the taxi drive total x miles then the charges will be
P = 3 + x
Now, for 4 miles put the value of x = 4.
So, P = 3 + 4
P = $7
and, For m miles ride the taxi would cost
P= 3 + m.
Learn more about Equation here:
https://brainly.com/question/29657983
#SPJ7
HELP ANOTHER ONE, Need anwser before time runs out...
Answer: 0
Step-by-step explanation:
4
please help asap !!
Select the correct answer.
Which set of numbers is arranged in increasing order?
O A.
1
OB.
TT, V10. 3.14.22
3.14, 7, 2, VTO
Oc. 44, V1O. 3.14. 7
OD V10, 42, 3.14, 5
Answer:
[tex]\textsf{B.} \quad 3.14, \; \pi, \; \dfrac{22}{7}, \;\sqrt{10}[/tex]
Step-by-step explanation:
The given set of numbers (in any order) is:
[tex]\pi, \;\sqrt{10}, \; 3.14, \; \dfrac{22}{7}[/tex]
Convert each number to its decimal equivalent to 4 decimal places:
[tex]\implies \pi=3.1416\;(\sf 4\;d.p.)[/tex]
[tex]\implies \sqrt{10}=3.1623\;(\sf 4\;d.p.)[/tex]
[tex]\implies 3.14 = 3.1400\;(\sf 4\;d.p.)[/tex]
[tex]\implies \dfrac{22}{7}=3.1429\;(\sf 4\;d.p.)[/tex]
Each number has 3 units and 1 tenth.
Comparing the hundredths, all the numbers have 4 hundredths except √10 which has 6 hundredths. Therefore, √10 is the largest number since 6 > 4.
Comparing the thousandths of the other three numbers, 3.14 is the smallest number as it has zero thousandths.
π is the next smallest as it has a one thousandth.
Therefore, the given set of numbers in increasing order is:
[tex]3.14, \; \pi, \; \dfrac{22}{7}, \;\sqrt{10}[/tex]
Please help me. Can you help me do A,B,C,D,E, and F please
Answer:
KGHKWGJRWGJHWG
Step-by-step explanation:
Michelle and Rhonda eat dinner at
la fancy restaurant, Their bill came to
$105.36. They gave their waiter a tip that
was 22% of the bill. About how much
money did they give the waiter for his tip.
Answer:
$22.17
Step-by-step explanation:
105.36 multiplyed by 0.22 ( you need to change the 22% to a decimal so just make it 0.22) then once you multiplyed them then you get your answer.
What are the possible names for the quadrilateral with sides 3:1:3:1?
Answer:
Rectangle
Parallelogram
Step-by-step explanation:
The ratio 3:1:3:1 shows that lengths of opposite sides of the quadrilateral are equal.
So, the possible names for the quadrilateral are rectangle, parallelogram.
Which of the following graphs could describe the system of equations?
A Blue
B Green
C Pink
D Purple
Answer:
The answer is...
Step-by-step explanation:
Purplea
Neeeeddd helllp again again
Answer:
A
Step-by-step explanation:
3.5 + p = 7.5
Subtract from 3.5 from both sides.
p = 7.5 - 3.5
Simplify
p = 4
A is the number line that has the correct answer.
what is the value in this question please hurry
1. Sonnie is selling her artworks in the form of stickers and bags tags for
summer vacation.
The stickers (y) cost P50 each and the bag tag (x) cost P75. She needs to sell at least P1000
worth of items.
a. Write an inequality to represent the income from the artworks sold.
b. Sonnie knows that she needs to make at least 15 stickers. Write an equality to represent this
situation,
c. Identify a solution. How many stickers and bags should Sonnie sell?
PA HELP plssssssss
Answer:
50y + 75x ≥ 1000 ;
50(15) ≥ 750;
x ≥ 4
y ≥ 15
Step-by-step explanation:
Given that :
Number of stickers sold = y
Cost of sticker = 50
Cost of bag tag = 75
Number of bag tags sold = x
Total worth of items sold ≥ 1000
1)
50y + 75x ≥ 1000
2.)
To make atleast 15 stickers
y ≥ 15
Atleast 15 stickers :
50(15) ≥ 750
3.)
A possible solution :
50(15) + 75(x) ≥ 1000
750 + 75x ≥ 1000
75x ≥ 250
x ≥ 3.33
x ≥ 4
y ≥ 15
How many grams are there in 2 ounces?
Answer:
Step-by-step explanation:
1 ounce = 28.3 gm
2 ounce =x
x =2*28.3
x = 56.6 gm