At a birthday party pizzas and sodas were purchased for the kids. The number of sodas bought was two more than three times the number of pizzas. Pizzas cost $9.50 each and sodas cost $1.25 each. (c) A total of $68.75 was spent on pizza and sodas at the party. Let n be the number of pizzas purchased. Set up an equation involving n that models the scenario. Solve it and state both the number of pizzas and the number of sodas that were bought.
Answer:
5 pizzas and 17 sodas were bought
Step-by-step explanation:
Here, we want to get the number of pizza and sodas bought
Let n be the number of pizzas bought
we are told that the number of sodas bought was 2 more than 3 times the number of pizzas
So the number of sodas will be;
3n + 2
So let’s have the equations based on the prices;
pizzas cost $9.50, soda cost $1.25
Thus;
9.5n + 1.25(3n + 2) = 68.75
9.5n + 3.75n + 2.5 = 68.75
13.25n = 68.75 - 2.5
13.25n = 66.25
n = 66.25/13.25
n = 5
Number of pizzas bought is 5
number of soda is 3n + 2 = 3(5) + 2 = 15 + 2 = 17
Which statement is true about 1?
A. It is a prime number.
B. It is a composite number.
C. It is a whole number that is neither prime nor composite.
D. It is not a whole number.
Please dont be greedy and answer the question saying something like "i have no idea" Thanks
Answer:
C. It is a whole number that is neither prime nor composite.
Step-by-step explanation:
A prime number is a number that has two factors: one and another number. Thus, since 1 only has one factor (itself), it cannot be a prime number.
However, a composite number must have more than two factors, which 1 doesn't have either.
Since 1 is a whole number (not a decimal or fraction), and it is neither prime nor composite, the answer would be C.
Have a nice day!
Answer:
C!
Step-by-step explanation:
hope it helped
Select the better deal in the pair. Then give the unit rate for the better deal.
$56/25 gal
or
$32.05/15 gal
Answer:
The better deal is $32.05/15 gal
Step-by-step explanation:
Divide:
56/25
=2.24
32.05/15
=2.13666667
=2.14
PLEASE HELP I ONLY HAVE 17 MORE MINUTES!!!!
Answer:
A. 6
Step-by-step explanation:
6/1 = 6
what are the steps to solve -8(p+2)+p=4(p+3)+5
Answer:
p = -3
Step-by-step explanation:
The width of a rectangle is 2 cm less than its length. The perimeter of the rectangle is 16 cm. What are the dimensions of the rectangle?
Answer:
Width=3 cm
Length=5 cm
Drag the tiles to the correct boxes. Not all tiles will be used.
Match each equation with a value of x that satisfies it.
Answer:
2, - 3, 18
Step-by-step explanation:
1). [tex]\sqrt[3]{1-x}[/tex] = - 1
( [tex]\sqrt[3]{1-x}[/tex] )³ = ( - 1)³
1 - x = - 1 ⇒ x = 2
2). [tex]\sqrt{x^2 +7}[/tex] = 4
( [tex]\sqrt{x^2 +7}[/tex] )² = 4²
x² + 7 = 16 ⇒ x = ± 3 ; x = - 3
3). [tex](x-2)^{\frac{1}{4} }[/tex] = 2
[tex][(x-2)^{\frac{1}{4} }] ^{4}[/tex] = [tex]2^{4}[/tex]
x - 2 = 16
x = 18
A jewelry store is having a 50% off salefor all necklaces. During the sales, what is the sale priceof a necklace,that regularlycost$49?
answer asap i will make brainliset !
find the root of 5x-2=0
x=?
Answer: 4
Step-by-step explanation:
If you multiply 5x-2 you will get -10
Do all the steps and you get 4
Therefore your answer is 4.
Anita is surveying students in her classroom about their favourite foods. Her survey results so far are shown below. Use fractions to answer the question.
What fraction of the students prefers either ice cream or pizza?
Type of Food: Fraction of Students Who Prefer the Food:
Fruit 1/12
Ice cream 1/3
Pizza 1/4
Other ?
Answer:7/12
Step-by-step explanation:fruit = 1/12 ice cream= 4/12 pizza=3/12 other must equal the remaining 4/12 btw and pizza plus ice cream is 4/12+3/12 = 7/12
A baseball player got 61 hits one season. He got h of the hits in one game. What expression represents the number of hits he got in the rest of the games? The player had nothing hits in the rest of the games.
Answer:
[tex](61-h)[/tex]
Step-by-step explanation:
Total number of hits by baseball player in one season = 61
Number of hits in one game = [tex]h[/tex]
To find:
The expression to represent the number of hits that the player got in the rest of the games = ?
Solution:
Number of hits that the player got in one game = [tex]h[/tex]
Let the number of hits that the player got in rest of the games = [tex]x[/tex]
As per the given question statement,
The sum of [tex]h[/tex] and [tex]x[/tex] will be equal to 61.
[tex]h+x=61\\\Rightarrow \bold{x =61-h}[/tex]
Therefore, the player had [tex](61-h)[/tex] hits in the rest of the games.
you can walk 1 1/2 miles in 1/2 hour. what is your average speed?
Answer:
3mph
Step-by-step explanation:
Depending how far you're traveling and how fast you traveled. When doing speed you typically do it by hours and the unit will be miles per hour (mph).
1. 1.5 mi=0.5 hr
2. Multiple 0.5 by 2 to get one hour, and do the same to the other side
2(1.5)=2(0.5)
3. 3mi=1hr
4. The answer is 3mph
3. Formulate 900 lbs of a 35% CP ration using Soybean Meal (46% CP) and Oats (12% CP). How many pounds of soybean meal will be used? How many pounds of oats will be used?
Answer:
The amount of Soyabean = 608.82 pounds.
The amount of Oats = 900-608.82 = 291.18 pounds.
Step-by-step explanation:
Given that the Soybean Meal has 46% CP and Oats has 12% CP.
The total amount of ration is 900 lbs of 35% CP.
Let x pounds of Soyabean has been used, so,
the amount of Oats = 900-x lbs.
The CP amount in 900 lbs mixture will be equal to the sum of CP amounts in x lbs Soyabean and 900-x lbs Oats, i.e
35% of 900 = 46% of x + 12% of (900-x)
[tex]\Rightarrow \frac{35}{100}\times 900=\frac{46}{100}\times x+\frac{12}{100}\times (900-x)[/tex]
[tex]\Rightarrow 35\times 900 = 46x + 12\times 900 - 12 x[/tex]
[tex]\Rightarrow 34x= 900(35-12)[/tex]
[tex]\Rightarrow x = (900\times 23)/34[/tex]
[tex]\Rightarrow x = 608.82[/tex] lbs.
So, the amount of Soyabean = 608.82 pounds.
The amount of Oats = 900-608.82 = 291.18 pounds.
what is 0.969696 repeating as a fraction?
Answer:
[tex]\frac{32}{33}[/tex]
Based on the work shown to the left, which of
these values are possible solutions of the
equation? Check all of the boxes that apply.
Answer:
sorry i cant answer without the picture it wont make sense.
Answer:
A, D
Step-by-step explanation:
edge 2021
what is 2/5 of 110??
Answer:
44
Step-by-step explanation:
Remember that "of" in math means the same as multiplication.
2/5 * 110 = 44
Answer:
44
Step-by-step explanation:
2/5×110
of in mathmatics means multiplication
Therefore, the answer is 44
can someone please help me with please and thank you
Answer:
47 DEGREES
Step-by-step explanation:
AOB + BOC = 180 (STRAIGHT LINE)
THEREFORE
(3x + 124) + (6x + 29) = 180
9x + 153 = 180
9x = 27
x = 27/9
x = 3
THEREFORE
6x + 29
(6*3) +29
18 + 29
47 DEGREES = BOC
Simplify the expression.
4² . 4². 4²
Answer:
16.16.16
Step-by-step explanation:
please let me know if I'm wrong
but I learned that you don't do 4×2 you have to multiply 4 twice by itself so it would be 16 because 4×4=16
the value of y varies directly with x. when y = 7.5, x = 5. what is the value of y when x = 80?.
Answer:
Step-by-step explanation:
120 = y. the ratio is 3:2
80/2 is 40
40 times 3 is 120
120:80 = 3:2
Add, subtract, multiply or divide all for of these numbers to get a result equal or close to 51.
Numbers: 7, 8, 5, 6
You cannot add any new numbers. Please help i've been stuck on this for an hour now. :(
Write the equation of the line through the given points (3, 5) and (-3,-3) in the three different forms.
Point-Slope Form
Slope-Intercept Form
Standard Form
Answer:
y-5=1/3(x-3)
y=1/3x+4
no standard form
Step-by-step explanation:
if you want brainiest than come here
go to remind.com then log in as student then put the class code: c26kda4
Percy planted 4 tomatoes plants the first week of spring. He planted 11 tomato plants the second week of spring. What is the percent increase in the number of plants Percy planted?
Answer:
[tex]\%\ Increase = 175 \%[/tex]
Step-by-step explanation:
Given
[tex]Initial = 4[/tex]
[tex]New = 11[/tex]
Required
Determine the percentage increase
This is calculated using the following formula:
[tex]\%\ Increase = \frac{|New - Initial|}{Initial} * 100\%[/tex]
[tex]\%\ Increase = \frac{|11 - 4|}{4} * 100\%[/tex]
[tex]\%\ Increase = \frac{|7|}{4} * 100\%[/tex]
[tex]\%\ Increase = \frac{7}{4} * 100\%[/tex]
[tex]\%\ Increase = 1.75 * 100\%[/tex]
[tex]\%\ Increase = 175 \%[/tex]
mZ1 = 6x and mZ3 = 120 Find the value of x when p is parallel to g.
Answer:
20
Step-by-step explanation:
m Z1=mZ3 = 120
120÷6=20
X=20
3/4 (4x+8)=-12. Distributive property
Answer:
x = -6
Step-by-step explanation:
I'm assuming you're solving for x
3/4 (4x + 8) = -12
you distribute the 3/4 to 4x and 8 so
3/4 times 4x = 3x
3/4 times 8 = 6
now looks like
3x + 6 = -12
3x = -12 - 6
3x = -18
x = -6
Michelle has 3
3 cups of cereal. A serving of cereal is cup. How many servings of cereal does Michelle have?
Answer: 4/5
Step-by-step explanation:
Brody had his computer repaired at Store A. His bill was:
Initial Repair Cost = $1,200
Sales Tax of 6 percent = $72.00
Gratuity of 15 percent
Explain how you would calculate the gratuity for the
services provided.
Answer:
Add the repair cost and tax to get the total amount. Then multiply the total amount by 0.15 to find the gratuity.
Step-by-step explanation:
This is sample response
The gratuity for the services provided is $190.8 if the Initial Repair Cost = $1,200, the Sales Tax of 6 percent = $72.00, and the Gratuity of 15 percent.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
Brody had his computer repaired at Store A. His bill was:
Initial Repair Cost = $1,200
Sales Tax of 6 percent = $72.00
A gratuity of 15 percent
Total cost = 1200 + 72 = 1272
The gratuity for the services provided = 0.15x1272 = $190.8
Thus, the gratuity for the services provided is $190.8 if the Initial Repair Cost = $1,200, the Sales Tax of 6 percent = $72.00, and the Gratuity of 15 percent.
Learn more about the percentage here:
brainly.com/question/8011401
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A high school coach needs to buy new athletic shorts for 15 members of the basketball team. The coach must spend less than $200 and needs to determine how much he can spend per pair of shorts.
Answer:
Well i dont know the answers but it is 13.33
Step-by-step explanation:
He can spend 13 dollars per pair of shorts
If IN=2x+10 and AT=26, find x.
A.) 12
B.) 10
C.) 6
D.) 8
Due to unexpected circumstances, you take out a loan for $5,000 to pay for a lawyer. You agree to pay it back over the next 5 years at a rate of 22.5% (because your credit score is really really low). At the end of the 5 years, how much did this "unexpected circumstance" end up costing you in all?