Answer:
±89
Step-by-step explanation:
..................
The drama club at NAMS sells hot chocolate and coffee at the high school football games. At the last game, they had sales of $200. They need to keep track of how many of each type drink was sold so that they can make predictions for future sales. Monica knows that they used 275 cups that night. If the hot chocolate sells for 75 cents and coffee sells for 50 cents, how much of each type of drink were sold?
Answer:
Coffee = 25
Hot Chocolate = 250
Step-by-step explanation:
Coffee: c
Hot Chocolate: h
0.75h + 0.50c = 200
h + c = 275
h + c = 275
h = 275 - c
0.75h + 0.50c = 200
0.75(275 - c) + 0.5c = 200
206.25 - 0.75c + 0.5c = 200
-0.25c = -6.25
-0.25c/-0.25 = -6.25/-0.25
c = 25
0.75h + 0.5(25) = 200
0.75h + 12.5 = 200
0.75h = 200 - 12.5
0.75h = 187.5
0.75h/0.75 = 187.5
h = 250
Check: c = 25; h = 250
0.75h + 0.50c = 200
h + c = 275
0.75(250) + 0.5(25) = 200
187.5 + 12.5 = 200
200 = 200
h + c = 275
250 + 25 = 275
275 = 275
The drama club sold 250 hot chocolates and 25 coffee drinks.
EquationEquation is an expression used to show the relationship between two or more numbers and variables.
Let x represent the number of hot chocolate and y represent the number of coffee. From the question the equation are:
x + y = 275 (1)0.75x + 0.5y = 200 (2)From both equations:
x = 250, y = 25
The drama club sold 250 hot chocolates and 25 coffee drinks.
Find out more on Equation at: https://brainly.com/question/13763238
HELP
Identify the property: Adding 0 to any number leaves it unchanged. For example 5+0=5.
Answer:
additive identity
Step-by-step explanation:
additive identity. I don't really know how to explain it. There is just a fact
Answer:
additive identity
Step-by-step explanation:
that is the answer
Car A travels 170 miles in 4 hours. car B travels 306 miles in 4 hours. car C travels 550 miles in 11 hours. Which car has the fastest average speed?
Answer:
car b
Step-by-step explanation:
car a: 170/4=17.5 mph
car b: 306/4=76.5 mph
car c: 550/11=50 mph
A rabbit moves n times as fast as a squirrel . A fox moves m times as fast as a rabbit . The fox moves how many times as fast as the squirrel?
Answer:
the fox moves mn times as fast as the squirrel
Step-by-step explanation:
the easiest way to do problems like this is by using hypothetical values that make sense (it's best to avoid 0, 1, and 2)
we'll say that n = 3 and m = 4
so if the squirrel moves at s pace, then the rabbit moves at ns, or 3s.
if the fox moves at m (4) times the rabbit's pace (3s), then it moves at 4(3s)
then just switch out the numbers for their variables, giving you m(ns)
remember that s simply represents the squirrel's pace, we cannot replace it with a number in this case, so switch it with the idea/value it represents
and there you go, mn times the squirrel's pace
A family is calculating the cost for one semester of college next year. Each hour of class will cost $155. A scholarship gift of $64 can be deducted from costs. If h is the number of hours taken, and c is the total cost, which equation can be used to calculate the total tuition costs for a semester?
C=89h
C=155h+64
C=155h-64
C=-155h-64
Answer:
c=155h-64
Step-by-step explanation:
you mulitply the cost of the classes by the amount of hours, then you deduct the scholarship gift(64) from the total and get your total cost of the semester
What is the 8th term in the arithmetic sequence defined by the explicit formula An = 2n + 7
9514 1404 393
Answer:
23
Step-by-step explanation:
Put 8 in the formula and do the arithmetic.
A8 = 2·8 +7 = 16 +7
A8 = 23
(3(2+3) = ?) what is the math term for the 3 in the equation?
Answer:
15
Step-by-step explanation:
2 + 3 = 5
3 x 5 = 15
Calculate the slope of a line that passes through the points (9, 3) and (19, -17). 10 2 -2 7/5
Answer:
slope = - 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (9, 3) and (x₂, y₂ ) = (19, - 17)
m = [tex]\frac{-17-3}{19-9}[/tex] = [tex]\frac{-20}{10}[/tex] = - 2
can someone please help me?
Answer:
The X intercepts= 1 and -1
The y= -1
Step-by-step explanation:
It's where the line meets the axis.
NEED HELP ASAP! GIVING BRAINLEST TO THE CORRECT ANSWER! MY BRAINLEST IS GIVING 100 POINTS TO THE PPL WHO ANSWER CORRECTLY
Select the real-world problem that could be solved using a proportion.
A Sheila travels 180 miles in 3 hours. At this rate, how far will she travel in 7 hours?
B Sheila must pay $180 for a phone and then $60 each month for service. How much will she have paid after 7 months?
C Sheila has 3 pens and 7 pencils. How many more pens does she need to make the number of pens and pencils she has equivalent?
D Sheila has 3 dogs and adopts 1 more. How many dogs does she have in total?
Answer:
A Sheila travels 180 miles in 3 hours. At this rate, how far will she travel in 7 hours?
Step-by-step explanation:
[tex]\frac{180 miles}{3 hours} = \frac{x miles}{7 hours}[/tex]
ONLY ANSWER IF YOU HAVE SOLUTION OR ELSE U WILL BE REPORTED!
In a group of students, 50% of the students were taking statistics subject, 30% economics and 10% both the subjects. What is the probability that a student was taking neither statistics nor
economics?
a) 30% b) 90%
c) 70% d) None of these
Solution with som explanation
Answer:
a) 30%
Step-by-step explanation:
50% of the students were taking statistics subject, 30% economics and 10% both the subjects.
The probability a student takes only statistics = 50% - 10% = 40%
The probability a student takes only economics = 30% - 10% = 20%
The probability a student was taking neither statistics nor economics = 100% - (40% + 20% + 10%)
The probability a student was taking neither statistics nor economics = 30%
can someone help me please 15-6(m+1)-34+4m
Answer:
-2m-25
Step-by-step explanation:
Answer:
-2m-25
Step-by-step explanation:
15-6(m+1)-34+4m
distribute -6 to m and 1
15-6m-6-34+4m
15-6-34=-25
-6m+4m=-2m
-2m-25(answer)
What is the slope of 9,7 and 3,5
Answer:
slope is 1/3
Step-by-step explanation:
Answer: 1/3
Step-by-step explanation: slope is difference in y values over difference in x values
Help plz i’ll give extra points if u do
Jackson´s Bakery sold 102 ice cream cakes and 68 fruit tarts in one weekend. Ice cream cakes are $27 and fruit tarts are $15. How much did Jackson's Bakery make in one weekend
Answer:
$3, 774
Step-by-step explanation:
102 ice cream cakes, and 68 fruits tarts
One cream cake is $27 and a fruit tart is $15
Meaning, from ice cream cakes, they made 102($27) = $2754
From fruits tarts, they made 68($15) = $1020
help me pls ! if you do l give you the brainiest
Answer:
a) 3x-7y and -7y+3x
Hope it will help you......Can someone answer this for me ill give brainliest asap
Which expressions are equivalent to sqrt root of 32x^6
Yes or No
A.(32x^6)^2
B.(32x^6)^1/2
C.x^3sqrt root of 2^5 D.4x^3sqrt root of 2 E.2x^3sqrt root of 2
F.2 2/5 x 2/6
G.2x^3 sqrt root of 8
H.(2^5x^6)^1/2
PLEASE HELP FIRST WILL GET BRAINIEST Thank you for your time! :)
Mikah and Gracie were running laps at the local gym. Mikah ran 1 and 4/8 laps, and Gracie ran 1 and 1/2 laps. Who ran a further distance?
Answer:
Trick question they both ran equal distance
Step-by-step explanation:
Gracies distand 1 and 1/2 is already in simplist form, but Mikahs distance 1 and 4/8 can be reduced.
More specifically the fration 4/8 can be reduced, finding the largest common multiple between 4 and 8 we find that 4 is the largest number that goes into both.
This results in the simplification of 1 and 4/8 to 1 and 1/2 which is the same as Gracies distance.
Help look at picture attached I will mark brainliest
Answer:
angle 3=145
Step-by-step explanation:
1 is complementary meaning add up to 90 so if 1 is 55 then 90-55=35. m<2=35
if 2 and 3 is supplementary meaning adds up to 180 then 180-35=145
HELP ASAP!!! What is the slope of the line through (-1,-4) and (-6, -2)?
Answer:
2/-5
Step-by-step explanation:
(-2) - (-4) = 2
(-6) - (-1) = -5
Answer:
-2/5
Step-by-step explanation:
you have to do y2-y1 over x2-x1
then you plot in your points :
y2=-2
y1=-4
x1=-1
x2=-6
after you do that you need to subtract them and that's how you will get your answer.
A kite of area 40 m squarehas one diagonal 2 m longer than the other. Find the length of the diagonal
Answer:
Length of diagonal 1: 8 metersLength of diagonal 2: 10 metersStep-by-step explanation:
Let d1 be the first diagonal and d2 be the second diagonal.
Given
Area = 40 square meters
And one diagonal is 2 meter longer than other
[tex]d_2 = d_1+2[/tex]
The formula for area of kite is;
[tex]Area = \frac{1}{2} * d_1 * d_2[/tex]
Putting the known values
[tex]40 = \frac{1}{2} * d_1 * (d_1+2)\\80 = (d_1)^2+2d_1\\d_1^2 +2d_1-80 = 0\\[/tex]
The expression is a quadratic polynomial
Factorizing
[tex]d_1^2 + 10d_1-8d_1-80 = 0\\d_1(d_1+10)-8(d_1+10) = 0\\(d_1+10)(d_1-8) = 0\\d_1 + 10 = 0\\d_1 = -10\\d_1-8 = 0\\d_1 = 8[/tex]
As the value of length cannot be negative so discarding the negative value
[tex]d_1 = 8d_2 = d_1+2 = 8+2 =10[/tex]
Hence,
Length of diagonal 1: 8 metersLength of diagonal 2: 10 metersWhat is the reciprocal of 5/16
Answer:
16/5
Step-by-step explanation:
Answer:
16/5
Step-by-step explanation:
When you move the numerator and denominator. (aka. flip)
Lucinda is saving money for a hot-air balloon trip to celebrate her graduation. She needs $300 dollars. Express this amount as an integer. Is this represented by a negative number or a positive number?
Answer:
Positive number
Step-by-step explanation:
Given that:
Lucinda is saving money for a hot-air balloon trip to celebrate her graduation and she needs $300 dollars.
Let x be the amount of her savings and she needs $300
SO;
x + 300 = 0
As an integer, it is represented by a positive number because she needs this amount of money in addition to what she already saved.
What is the volume of the rectangular pyramid
Answer:
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Finding the Volume of a Rectangular Pyramid
Your overall formula for finding the volume of these multi-faceted shapes is V = (l x w x h) / 3. Basically, your first step is finding the area of the base by multiplying length by width. Once you determine the area of the base, multiply that by the height.
Answer:
Finding the Volume of a Rectangular Pyramid
Your overall formula for finding the volume of these multi-faceted shapes is V = (l x w x h) / 3. Basically, your first step is finding the area of the base by multiplying length by width. Once you determine the area of the base, multiply that by the height.
Step-by-step explanation:
For the solution to the inequality in the previous problem, list all integers from -10 through 10 that will make the
inequality a true statement when substituted for "n"? (The integers for -10 through 10 are shown below.)
{-10,-9,-8, -7,-6, -5, -4,-3,-2,-1,0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
HELP PLEASE HURRY
ILL GIVE 30 POINTS AND MOST BRAINLIEST
Answer: -10, -7, -5, -2, -1, 3, 4, 8, 9
Step-by-step explanation:
Simplify completely.
A. 4
B.
1
C.
4
D. 4
Answer:
1. 1/4
2. 2/4
3. 2/4
4. 4/1
Step-by-step explanation:
Find the diagonal of the box using the Pythagorean Theorem.
Answer:
26 cm
Step-by-step explanation:
Given:
Length = 24 cm
Width = 8 cm
Height = 6 cm
Required:
Diagonal of the box
SOLUTION:
Using the pythagorean theorem, [tex] a^2 + b^2 + c^2 = d^2 [/tex], where,
a, b and c are the dimensions of the box, and d is the length of the diagonal.
Plug in the value into the formula
[tex] 24^2 + 8^2 + 6^2 = d^2 [/tex]
[tex] 676 = d^2 [/tex]
[tex] \sqrt{676} = \sqrt{d^2} [/tex]
[tex] 26 = d [/tex]
Length of diagonal of the box = 26 cm
elmo has 5 donuts, he cuts them into halves. then he cuts those halves into thirds, then he cuts those thirds in halves. how much does he have?
Answer:
60Step-by-step explanation:
1. 5 donuts cut in halves:
5 : 1/2 = 102. Then he cuts those halves into thirds:
10 : 1/3 = 303. Then he cuts those thirds in halves:
30 : 1/2 = 60Final number of pieces is 60
Question 1
Find the highest common factor of 70
and 126
Answer:
The highest common factor of 70 and 126 is 14.
Step-by-step explanation: