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
Peter, Bridget and Caroline share some sweets in the ratio 6:3:2. Peter gets 56 more sweets than Caroline. How many sweets are there altogether?
Answer:
The scale in the ratio given considers the case that there are 9 sweets (2 + 3 + 4), however, to answer our question, we need to scale up the ratio, so that we can work out the share when we have 36 sweets
Step-by-step explanation:
Ratios are a way of displaying the proportional split of a value and they are very similar to fractions. In the example above, we see that for every 2 sweets Amy has, Beth gets 3 and, Colin will get 4. Like fractions, this proportion will stay the same regardless of the scale of the ratio. The scale in the ratio given considers the case that there are 9 sweets (2 + 3 + 4), however, to answer our question, we need to scale up the ratio, so that we can work out the share when we have 36 sweets. So, what scale factor do we need to get it from a total of 9 sweets to a sum of 36 sweets? We know that 9 multiplied by 4 gives us 36, therefore, we can use a scale factor of 4. Remember how whatever is done to the denominator of a fraction has to be done to the numerator? Ratios like to behave the same way, so now that we have scaled up the sum of the ratio, we need to scale up the individual values by 4 – (2x4) : 3x4 : 4x4. Once we work it out we get the new ratio 8:12:16. You can check if you’re right by adding up the new values and you will see that 8 + 12 + 16 = 36, which is the value that the 9 was initially scaled up to. So we now know that when sharing the 36 sweets, Amy will get 8 sweets, Beth will get 12 sweets and Colin will get 16.
Find the scale factor
A. 3
B. 1/3
C. 3/3
Answer:
B
Step-by-step explanation:
15/45 = 1/3
what is the common ratio of 17, 51, 153, 459,.....
Answer:
3
Step-by-step explanation:
17 * 3 = 51
51 * 3 = 153
153 * 3 = 459
etc.
Your monthly budget is $2,000. You can use 20% on food. How much money can you use on food each month?
Heyy! Love your Hoseok profile pic.
The answer is 400, which is 20% of 2,000.
Answer:
$100 we use on food each month.
Step-by-step explanation:
20% of $2000=$100
Need help plz it’s only one question!!!
Can someone please help me answer this I am confused
Answer:
C
Step-by-step explanation:
Answer:
470
Step-by-step explanation:
.94 x 500 = 470
What is the value of x if 2x + 5 = 17?
x = 6
x = 11
x = 12
x = 24
the answer is one of these
Answer: x = 6
Step-by-step explanation:
it is 6 becuase when you subtract 17-5 you will get 12 ad to get 12 you need to multiply 2x6 so x=6
what is the distance between a and b on the grid
Answer: 6 units
Step-by-step explanation:
Answer:
The answer is either C or A
Step-by-step explanation:
But I mostly think the answer would be C hopefully I helped you.
:)
pls HELP!! Jameson is taking a multiple-choice test and he doesn't know an answer. He can answer A, B, C, D or E. What is the probability that he will guess correctly? Give your answer as a percent.
find the value of x.
how do i solve this??
Answer:
The value of X is 296 divided by 2, so 148.
Step-by-step explanation:
solve the equation -9v-9=-27 for v.
Answer:
v=2
Step-by-step explanation:
-9v-9=-27
add nine to both sides
-9v-9+9=-27+9
simplify
-9v=-18
divide both sides by -9
-9v/-9 -18/-9
simplify y=2
hope this helps :) have a nice day !!
Answer:
v=2
Step-by-step explanation:
-9v-9=-27
add nine to both sides
-9v-9+9=-27+9
simplify
-9v=-18
divide both sides by -9
-9v/-9 -18/-9
simplify y=2
Which set of numbers are true for the inequality? n + 3 < 5 plssss help
Answer:
n<2
Step-by-step explanation:
On the graph, You go left
Which of the following statements are true?
I. 4x2 – 2x + 9 is a cubic binomial with a leading coefficient of 4.
II. -3y4 – 2y + 4 is a quartic trinomial with a degree of -3.
III. 5a+ 2 is a quintic binomial with a constant term of 2.
IV. -2m2 is a quadratic monomial with a leading coefficient of 2.
A None
B II only
C II and IV only
D I, II, III, and IV
Answer:
16
Step-by-step explanation:
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.
Race cars each weighing ¼ pound are on a scale. The scale shows 1 ½ pounds. How many race cars are on the scale?
Answer:
6 race cars
Step-by-step explanation:
In this scenario, there would be a total of 6 race cars on the scale. Since each racecar weighs 1/4 pound then 4 racecars would equal 1. This leaves us with 1/2 or 0.5 pounds left. This would be 2 race cars since 2/4 is equal to 0.5 pounds. Therefore, if we add these two amounts up it would be a total of 6 racecars (4+2) which would total 1 1/2 pounds.
A price is decreased by 15% and is now £731
work out the original price
.
Answer:
840.65
Step-by-step explanation:
When looking at a graphed System of Equations,
how do you determine which line is the better
deal?
Answer:
Step-by-step explanation:
So, if we are looking to save money, then it would probably be a good choice to go for the least steepest line. Assuming Money stands for the Y axis and Quantity stands for the X axis, then looking at the least steepest line means the lowest Y axis, which translates to the least amount of money.
Help, > < or =?
|-6| ? 4
Answer:
>
Step-by-step explanation:
Because |-6| = 6
and 6 is greater than 4
a store is having a 20% off sale on all merchandise. if mai buys one item and saves $13, what was the original price of her purchase
some body help answer the question in the picture below
Answer:
a) t ≥ 5
b) (see below)
Step-by-step explanation:
First, make note of the info you are given and what you're trying to do:
- at midnight, 5°C
- drops consistently 2°C per hour
- finding t
- t = # of hours past midnight when temp. was past -4°C
- put t on a number line
So, first, you need to find the first point at when the temperature goes past -4°C. Notice that the question is asking for past -4°C, not -4°C and past. This means we're not including -4°C.
Every hour, we're dropping by 2°C. You can draw a visual to better understand the situation. See the image below.
So we know that starting from 5 am, we are lower than -4°C.
This is 5 hours from midnight.
So t ≥ 5. This means that the number of hours past midnight when the temperature was colder than -4°C was 5 or more hours.
On the number line, draw a circle on 5 (between 4 and 6), but shade it in because it includes 5. Then, shade or highlight to the right of that circle to the end of the number line.
This shows that t is equal to or greater than 5.
Write the domain AND range of the following graph.
Answer:
Domain: (-∞,∞), Range: [2,∞)
Yo I’m a 10th grader that needs math help can y’all answer this fam?
Answer:
So im not exactly sure on the type of problems your doing but i got x^2+3x-5
After a hike, a group of s students equally share 5 boxes of granola bars. Each box has 8 granola bars. Which algebraic expression represents how many granola bars each student has?
Answer:
40/s
Step-by-step explanation:
Number of granola boxes = 5
Number of granola per box = 8
Total granolas = 8 * 5 = 40 granola bars
Number of students = s
If each students takes equal share : Number if granola bars taken by each :
Total number of granola bars / number of students
= 40 ÷ s
40/s
1/4x - 5 = 6
How do I get the answer to this question?
Answer:
x = 44
Step-by-step explanation:
6 + 5 = 11
1/4x = 11
11 ÷ 1/4 = 44
if it does not make sense, then here is the equation.
1/4(44) - 5 = 6
私は助けが必要です..グーグルはこれを翻訳するか、何かをします。私は日本語と英語を話します。please.
Answer:
ok
Step-by-step explanation:
hope it will help ypi
I will give brainliest!! please help solve the one i got wrong :(
Answer: 121,520 jobs
Step-by-step explanation: Total jobs would be 1,736,000, multiply 1,736,000 by .07, You should get 121,520
Lillian built a staircase out of blocks. She used 2 blocks to make the first step, 4 blocks to make the second step and 6 blocks to make the third step. If she continues using the same pattern, how many total blocks will she have used after making the fourth step?
A. 8
B. 20
C. 36
D. 48
A. 8
p.s. this question- you should know. your in middle school. lol just pointing that out
Answer
B: 20
explanation
2 + 4 + 6 + 8 = 20
if 180-46 180-134 = 46 but the answer isnt 46, so i know im doing something wrong but i don’t remember how to solve these.
Answer:
67
Step-by-step explanation:
Because the triangle is an isosceles triangle so the math would be (180-46)/2=67
Is the triangle a right triangle?use the Pythagorean theorem and its converse to explain why or why not.
Answer:
i believe it is f
Step-by-step explanation:
What is the scale factor and how do I find it? Please help!!