Answer:
10
Step-by-step explanation:
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
(Will give brainliest :) pls tell me how to solve) Hikers are traveling at 3 miles per hour. They leave camp and hike LaTeX: N64^\circ WN 64 ∘ W for 2 hours. They change course to LaTeX: S23^\circ WS 23 ∘ W for 4 hours. How many miles is the trip back to camp. What bearing should they take to head back to camp?
Answer:
3.08270264 hours
Step-by-step explanation:
The first thing you have to do is a graph where you signal the cardinal points (1st image)
Then draw the first line that the problem gives you (N64°W). At the end of this line, you will draw the following line (S23°W) drawing another little graph as a guide. Finally, you will draw the last line, as long as a triangle is made (2nd image)
If you pay attention to the first line you made, you will notice that you can make a right triangle with angles of 90°, 64°, and 26° (3rd image)
So, returning to the other big triangle, you are going to add the 23° of the main orientation with the 26° that you just obtained from the first triangle (4th image)
Now you have a large triangle with one side that is worth 4, another that is worth 2, and an angle between them that is worth 49° (5th image)
From now on it's easier.
We know that if we have an angle between two know sides we can use Law of cosines (a²=b²+c²-2bcCosA)
So a² = 2² + 4² - 2(2*4)Cos49
a² = 4 + 16 - 2(8)Cos49
a² = 20 - 16Cos49
Cos49 = 0.65605902899
16 * 0.65605902899 = 10.4969444638
20 - 10.4969444638 = 9.50305554
a² = 9.50305554
a = [tex]\sqrt{9.50305554}[/tex] = 3.08270264
Hope I helped you and sorry for the bad quality of the photos
£108 in the ratio 7:5
Answer:
45:63
Step-by-step explanation:
7+5=12
12u-->108
1u--> 9
5u-->45
7u-->63
Raphael deposited $6,500 in an account that pays 4.25% interest, compounded annually. He left the money in the account for 4 years, without depositing money to it or withdrawing money from it. At the end of the 4 years, how much interest in dollars and cents did the account earn? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answer:
$1105
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4.25%/100 = 0.0425 per year,
then, solving our equation
I = 6500 × 0.0425 × 4 = 1105
I = $ 1,105.00
The simple interest accumulated
on a principal of $ 6,500.00
at a rate of 4.25% per year
for 4 years is $ 1,105.00.
The interest in dollars and cents did the account earn should be considered as the $1,105.
Calculation of the interest in dollars:Since deposited amount is $6,500
The interest rate should be 4.25%
The time period is 4 years
So here the interest should be like
= ($6,500) (4.25%) (4)
= $1,105
hence, The interest in dollars and cents did the account earn should be considered as the $1,105.
Learn more about interest rate here: https://brainly.com/question/24656271
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.
OMG SOMEONE HELP ME
Solving inequalities.
4x + 7 > 23
Answer:
x > 4
Step-by-step explanation:
What is the value of x?
55
A
105°
A. 500
B. 160°
C. 20°
D. 550
Answer:
A
Step-by-step explanation:
180-105=75
180=75+55+x
x=50
Please help!!!!!!
Explain the answer
Answer:
I think they are.
Step-by-step explanation:
Because they are both 39 and 34 degrees so if x and y are the same number they are similar.
-4(-3x - 8) - 34 Simplify.
Answer:
12x-2
Step-by-step explanation:
-4(-3x - 8) - 34
distribute
12x+32-34
add like terms
12x-2
Answer:
[tex]12x-2[/tex]
Step-by-step explanation:
[tex]-4(-3x-8)-34[/tex] (Distribute the -4)
[tex]12x+32-34[/tex] (Subtract)
[tex]12x-2[/tex]
And if you want to find x.
[tex]12x-2=0[/tex] (Add 2 on both sides)
[tex]12x=2[/tex] (Divide by 12 on both sides)
[tex]x=\frac{2}{12}= \frac{1}{6}[/tex]
Make the following changes to the number 5.376: Make the 3 worth 10 times as much. Makethe5worth_1 asmuch.
10
Makethe7worth_1 asmuch. 10
Make the 6 worth 10 times as much. Write the new number.
Answer:
Step-by-step explanation:
your mom
help will give brainliest asap
Answer:
476 and the top box is 5
Step-by-step explanation:
68×7
Multiply 68 and 7 to get 476.
476
Answer:
the bottom box is 476, the top one is 5
Step-by-step explanation:
I need help it’s only one question
Answers and Step-by-step explanations:
9: (4/6) (-5/8)
This is just multiplication of fractions, so all you need to do is multiply both numerators by eachother and both denominators by eachother. Assuming that only the 5 is negative, (this is just an assumption since it's not clear which one is, or you can do the 8,) You get -20/48, since 4 x (-5) = -20, and 6 x 8 = 48. Simplify and you get -5/12.
10: (3/4) (-1/5)
Multiply the numerators, (3 and -1), and the denominators, (4 and 5,) to get -3/20. This is the lowest it can be simplified to, so therefore your answer is -3/20.
11. (-1/8) (-6/7)
Multiply -1 and -6 to get 6, (since two negatives make a positive.) Multiply the denominators, (8 and 7,) to get 56. This maks 6/56, which simplifies to 3/28.
12. (-4/9) (1/5)
Multiply the numerators, (-4 and 1,) to get -4. Multiply the denominators (9 and 5,) to get 45. Your answer is -4/45.
I'm really sorry if I'm wrong for anything, hope this helps! :)
You have $350 dollars in your savings account the account pays an interest rate of 2.25% how much will you earn in interest this year?
Answer:tttaergfzgsfbvzfsbzfzbfs
The amount of interest that you earn after a year will be $7.875.
What is compound interest?A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.
We know that the compound interest is given as
[tex]\rm A = P \left (1 + \dfrac{r}{n} \right ) ^{nt}[/tex]
Where A is the amount, P is the initial amount, r is the rate of interest, and t is the number of years.
You have $350 in your savings account, which has a 2.25% interest rate.
Then the amount of interest that you earn after a year will be given as,
I = A - P
I = $350(1 + 0.0225) - $350
I = $350 (1.0225) - $350
I = $357.875 - $350
I = $7.875
The amount of interest that you earn after a year will be $7.875.
More about the compound interest link is given below.
https://brainly.com/question/25857212
#SPJ5
In a class full of men and women,
4/9 of the class are women. What is the ratio of men to
women in its simplest form?
Answer:
5/4 is the simplest form.
Find f(-2) this is due in 10mins help please
-2f
Step-by-step explanation:
move the -2 to the left of the f
What r the formulas of Exponents and Powers
Step-by-step explanation:
Alyssa ran 10 miles after school om friday
Write the function in vertex form.
y=x2 – 9x - 7
Which system of equations has no solutions? (Systems of Linear Equations - Quiz I-ready)
Answer:c parallel lines
Step-by-step explanation:
Which of the following pairs of numbers is matched with its correct greatest common factor? Select two that apply.
A
The greatest common factor of 10 and 68 is 2.
B
The greatest common factor of 33 and 99 is 3.
C
The greatest common factor of 78 and 84 is 6.
D
The greatest common factor of 45 and 54 is 5.
I need the answer right now! It will be worth all of my points!!!!!!
Answer:
a and c
Step-by-step explanation:
10 and 68 is 2 and 78 and 84 is 6
plss help (ZOOM IN TO SEE FULL PIC)
Answer:
20
Step-by-step explanation:
root 144+ 256= 400 root 400 =20(Pyto Th.)
so 20
if my answer helps please mark as brainliest.
Answer:
20
Using the formula of Pythagoras theorum 20 is the answer.
dvd: $15; 35% markup
Answer:
35% of 15=35/100×15=21/4=5.25
Using long division, find (x^3 - 8x + 6) / (x^ - 2x + 1)
Answer: 6
Step-by-step explanation: it's easy 8x = 6 because the divisor is Equlivant to the 2x
If Brian took the same test and received a score of 80 % how many questions did he get right? ( hint the test is out of 20 points )
Answer:
16
Explanation:
First you convert
80
%
into a decimal which is
.80
then you multiply it by
20
.
.80
×
20
=
16
We multiply it by
20
because that's our total and by
.80
because that's the amount that we got correct. Had it been
100
%
then that would mean we got every question right.
Step-by-step explanation:
A cylinder has a base radius of 10m a height of 18m. What is its volume in cubic
m, to the nearest tenths place?
Answer:
5656 m^3
Step-by-step explanation:
Volume of a cylinder can be calculated using below formula
V = πr²h
Where
h= height =18m
r= radius= radius = 10m
If we substitute the values we have
V = π × (10)²× 18
= 5655.6 m^3
= 5656 m^3
Answer: 5654.9
Step-by-step explanation:
Write a story about temperatures that this expression could represent:
27 + (–11)
1. Clare has $54 in her bank account. A store credits her account with a $10 refund. How much does she now have in the bank?
Answer:
$64
Step-by-step explanation:
A person can pay $6 for a membership to the science museum and then go to the museum
for just $1 per visit. For a member of the science museum, what is the total cost of 44
visits?
A relation contains the points (1, 2), (2, -1), (3, 0), (4, 1), and (5, -1). Which statement accurately describes this relation?
Answer:
J The relation represents y as a function of x, because each value of x is associated with a single value of y.
Step-by-step explanation:
I'm sure of this
Answer:
H
Step-by-step explanation:
i think so i’m not one hundred percent sure though ! Tell me if i’m wrong
The average daytime temperature on Venus is 870°F. The average temperature on Jupiter is -160°F. What is the difference between the average temperatures on Venus and Jupiter?
Answer:
Step-by-step explanation:
Okay, outside of the Sun, the hottest place in the Solar System is the core of Jupiter. Once again, while the cloud tops of Jupiter are more than 100 degrees below zero, the core of the planet could be up to 30,000 Kelvin. ... In fact, Venus is even hotter than the planet Mercury when it's in the Sun