James sells two types of cupcakes. A basic chocolate cupcake is $2,75. His speciality chocolate covered strawberry cupcake is $3.75. He knows that he sold 185 cupcakes over the
weekend and made $586.75, but he lost the paper that told him how many of each type of cupcake he sold. How many chocolate cupcakes and chocolate covered strawberry cupcakes
did he sell over the weekend?
Answer:
107 chocolate cupcakes sold
78 chocolate covered strawberry cupcakes sold
Step-by-step explanation:
to solve one of these questions, you need to write two equations and then substitute back and forth to get the answer.
to start, we need to write an equation.
2.75c+3.75s=586.75
and c+s=185
reworking the second equation to isolate s, we'll then substitute it into the first one.
so s=185-c
2.75c+3.75(185-c)=586.75
2.75c+693.75-3.75c=586.75
combine like terms (the ones with a c variable attachment)
2.75c-3.75c=-1c
693.75-1c=586.75
-693.75
-107=-1c
/-1
107=c
put that back into the second equation
107+s=185
78=s
Find the height of the pyramid.
Volume = 198 yd
9 yd
11 yd
The height is yards.
Answer:
12 yards
Step-by-step explanation:
h = (3×198)/(½×11×9)
= 594/(49.5)
= 12 yds
What is the width of the rectangle?
30y
60y4
Answer:
2 y^3
Step-by-step explanation:
Area of rectangule is length * width
what is the area of the truck?
Answer:
yes because the truck is smaller than the parking space. the area is 66.25 sq. ft
Step-by-step explanation:
The volume of a right square prism is 588 cubic centimeters and its height is 12 cm. What is the length of each side of the base
Answer:
7cm
Step-by-step explanation:
588 / 12 = 49
[tex]\sqrt{49}[/tex] = 7 * Since 7 times 7 equals 49
1. Find the value of x. The diagram is not to scale.
Answer:
64
Step-by-step explanation:
As the angle in the bottom is shared and the 2 sides are proportional, one is 40 and 80 (times 2) and the other, 25 and 50 (times 2) so the triangles are similar so all we do is multiply 32 by 2 as its the rule. So the answer is 64.
Simply by adding like terms: -7x^2*y*z + 3y*z^2 - z*x^2*y - 4y
9514 1404 393
Answer:
-8x^2·y·z +3y·z^2 -4y
Step-by-step explanation:
It can be helpful to make sure the variables in each term are in alphabetical order. This makes it easier to see "like" terms. The variables in each term are ...
x^2 y z
y z^2
x^2 y z
y
Only the first and third terms are like terms, so those are the only ones that can be combined. Their coefficients are -7 and -1, so sum to -8. The combined term is of highest degree, so in standard form we list that term first.
= -8x^2·y·z +3y·z^2 -4y
4−32⋅(−0.25)−12÷13, what's the answer?
PLEASE HELP ME PLEASE!!!!
Answer:
45\
Step-by-step explanation:
it will be 8 units
hope it helps
Which quadratic equation has roots of 5 and 7
Answer:
D
Step-by-step explanation:
Given the root of a quadratic equation x = a then the factor is (x - a)
Here the roots are x = 5 and x = 7 , then the corresponding factors are
(x - 5) , (x - 7)
The equation is then the product of the factors, that is
y = (x - 5)(x - 7) ← expand using FOIL
= x² - 7x - 5x + 35 ← collect like terms
y = x² - 12x + 35 → D
The quadratic equation has roots of 5 and 7 so, the quadratic equation would be equal to [tex]y = x^{2} - 12x + 35[/tex].
How to find the roots of a quadratic equation?Suppose that the given quadratic equation is
ax^2 + bx + c = 0
Then its roots are given as:
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
It is Given the root of a quadratic equation x = a then the factor is (x - a)
Here the roots are x = 5 and x = 7 , then the other factors are
(x - 5) , (x - 7)
The equation is then the product of the factors,
[tex]y = (x - 5)(x - 7)\\y = x^{2} - 7x - 5x + 35 \\y = x^{2} - 12x + 35[/tex]
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In an arithmetic sequence, the 10th term is 37, and the 21st term is 4. Find the common difference and the first term
Answer:
Common difference is 3. And the first term is 64.
Step-by-step explanation:
The differnce between 21 and 10 is 11. So there are 11 unknown numbers in between. And the difference between 37 and 4 is 33. 33/11 is equal to 3. So the pattern is minus three. the first term is 9 terms before 37. 9 times 3 is 27. 37+27 is equal to 64. so the first term is 64
At a coffee shop, the first 100 customers' orders were as follows. Small Medium Large Hot 5 48 22. 8 12. 5 What is the probability that a customer ordered a large given that he or she ordered a hot drink? Rounded to the nearest percent, [ ? ]%
Answer: 29%
Step-by-step explanation:
This is correct on acellus :)
The probability that a customer ordered a large given that he or she ordered a hot drink is 88 % .
What is Probability ?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur.
The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
Probability Formula = f/n
where,
f is the number of times an event occurs
n is the total number of trials
The probability is represented as:
P(Large | Hot)
This is calculated using:
P(Large | Hot) = n(Large and hot)/n(hot)
Using the data on the given table, we have:
P(Large | Hot) = 22/(8 + 12 + 5)
P(Large | Hot) = 0.88
In percentage
P(Large | Hot) = 88%
Hence, the probability that a customer ordered a large given that he or she ordered a hot drink is 88 % .
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WHO HERE'S GOOD AT MATH AND CAN HELP ME???
Answer:
100,000-110,000 pounds
Step-by-step explanation:
one ton equal to 2000 pounds
50x2000=100000
55x2000=110000
100,000-110,000 pounds
If this helps please mark as brainliest
Answer:
100,000-110,000
Step-by-step explanation:
2000x50= 100,000
2000x55= 110,000
12, 15, 18, ...
Find the 32nd term.
what is the area of the trapezoid
Answer:
A=2132
Step-by-step explanation:
Solution
A=a+b/ 2h=44+8/ 2·82=2132
hii! i’ll give brainliest pls help
Answer:
flood is the answer fycgguvvytugcut because snow turns into water
A skateboard was originally priced at $53.00. It is on sale for 15% off. What is the sale price of the skateboard?
Answer:
STEP BYy-step explanation:
I need help with this to! When i get the answer ill let ya know
We have given that skateboard was originally priced at $53.00.
It is on sale for 15% off.
We have to determine the sale price of the skateboard.
The discount is 15%.
So we have to find 15% of $53.
What is the method to converting the percentage into desimal ?
Divide the percentage by 100 so we will get the the desimal form of percentage.
convert 15% into desimal
[tex]\frac{15}{100}=0.15[/tex]
Multiply 0.15 by original price,
[tex]0.15\times 53=7.95[/tex]
The original price discounted by this amount
Therfore he save $7.95
Sale price=53$-7.95=45.05
Therefore we get the salling price is $45.05.
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If the diameter of a circle is 20 cm, what is the area? 10π cm2 20π cm2 50π cm2 100π cm2
Answer:
Half of 20 is 10(new radius)
10^2(radius being squared) = 100
Next step is to multiply by pi
100π cm2
Step-by-step explanation:
Formula of area of a circle:
πr^2
pi x radius squared
Write the equation 8x-2y=10 in slope intercept form.
Answer:
[tex]y=4x-5[/tex]
Step-by-step explanation:
Slope-intercept form is given as [tex]y=mx+b[/tex]. We can simply manipulate and rearrange the given function to be in this form:
[tex]8x-2y=10,\\-2y=-8x+10,\\\boxed{y=4x-5}[/tex]
Which name best describes the polygon with vertices (0,0), (4,8), (12,8) and (16,0)?
A. Trapezoid
B. Square
C. Triangle
D. Pentagon
The name of the polygon with the vertices at (0,0), (4,8), (12,8) and (16,0) is a Trapezoid. Option A
How does a Trapezoid look like?A trapezoid is a four-sided flat polygon.
It has two parallel sides that has different lengths. The other two sides are non-parallel and also does have lengths.
A trapezoid has four angles, two of which are acute and two of which are obtuse.
A trapezoid's parallel sides are calld bases, while its non-parallel sides are called legs.
The height of a trapezoid is the perpendicular distance between its two bases. Trapezoids appear in a variety of sizes and forms, but its distinguishing feature is the presence of two parallel sides.
| o o
|
|
|
|
|
|
|o___________________________o_
If you connect the "o" which represents the coordinates, you will draw a Trapezod.
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61, 21, 80, 46, 37, 70, 59, 65, 46, 39, 17, 87, 3, 10 Calculating the Mean, Median, Mode and Range of Data
Answer:
Mean: 45.8 (rounded to the tenth place)
Median: 46
Mode: 46
Range: 84
Step-by-step explanation:
Please I need help!!!!
Answer:
(9-7)
Step-by-step explanation:
1st
Vertex
we have
f(x)=x²-18x+88
let
y=x²-18x+88
comparing above equation with ax²+bx+c
we get
a=1
b=-18
c=88
now
vertex(x,y)=(-b/2a,f(-b/2a))
x=(18/2×1)=9
y=f(9)=9²-18×9+88=7
SO
VERTEX(X,Y)=(9,7)
Is the relation a function.
X Y
-2 2
-1 1
0 4
1 3
0 2
Select one:
No
Yes
Answer:
no its not a function
Step-by-step explanation:
the x-int. repeats its self
Solve -17 = for x. x =
Answer:
-17
Step-by-step explanation:
PLEASE I GIVE BRAINLIRST PLEASE HELP I NEED TO OASS THIS
Evan wants to add a flower box at the edge of the garden. He decides to paint the box. The flower box is open on
The box is 16 inches long. 6 inches wide, and 8 inches the top and does not need to be paintes. What is the
high
minimum amount of paint he will need?
Evan will need enough paint to cover
What is the maximum amount of soil he will need to fill
Bin
the box
The maximum amount of soillis
Answer:
Evan needs enough paint to cover 448in^2
He needs enough soil to fill 768in^3
Step-by-step explanation:
Determining the Length of a Rod
Jorge needs to ship a thin metal rod to a metalworking shop. The only boxes available for shipping are 7-inch cubes. To the nearest inch, what is the length of the longest metal rod that can be sent?
11 inches
12 inches
13 inches
14 inches
The length of the longest metal rod that can be sent in a 7-inch cube box is 12 inches.
To determine the length of the longest metal rod that can be sent in a 7-inch cube box, we need to consider the diagonal of the cube as the maximum length of the rod.
In a cube, the diagonal can be calculated using the Pythagorean theorem. The formula for the diagonal of a cube is:
diagonal = √(side^2 + side^2 + side^2)
Since we know that the cube has sides of 7 inches, we can substitute this value into the formula:
diagonal = √(7^2 + 7^2 + 7^2)
diagonal = √(49 + 49 + 49)
diagonal = √147
diagonal ≈ 12.124 inches
Therefore, the correct answer is:
12 inches
This means that the metal rod should not exceed 12 inches in length in order to fit inside the 7-inch cube box for shipping. Any rod longer than 12 inches would not be able to fit diagonally within the box.
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The perimeter of a rectangle is 48cm. its length is 4 cm. what is its width?
Answer:
P = 48
4 + 4(two given lengths) = 8
48(perimeter) - 8(length of two given lengths) = 40(length of two unknown sides)
40(length of two unknown lengths) divided by 2(two missing sides) = 20 cm
Sophia started a lawn mowing business and charges a flat fee of $5.00 plus $3.50 per hour.
Sophia made $29.50. Which equation can be used to calculate the number of hours, h, that Sofia worked?
Answer:
5 + 3.5h = 29.50
Step-by-step explanation:
The flat fee means that you will be paid the money with no change to it.
So you will not multiply it.
3.5h means that you are adding 3.50 every hour according to the question
So summary:
5+3.5h = 29.50
Evaluation:
5+3.5h = 29.50
24.50 = 3.5h
h = 7
Sofia worked 7 hours
If my answer is incorrect, pls correct me!
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-Chetan K
Tom is building a pool. He plans to dig a hole 20 feet wide and 50 feet long. He wants the pool to hold 7500 cubic feet of water. How deep must he dig the hole?
Answer: 7.5 feet
Step-by-step explanation:
.
classify this relation as direct, inverse, or neither. if possible, find the constant.
Answer:
inverse, 50
Step-by-step explanation:
By looking at this, we can realize that it cannot be direct, because the y value does not increase when the x value does. Furthermore, we can realize that when the x and y values are multiplied, they all equal 50. This is a property of inverse variation. This means the relation is inverse. Lastly, the constant is 50 because that is the common product.