When Angelo cashed a check for $170, the bank teller gave him 12 bills, some $20 bills and the rest $10 bills. How many bills of each denomination did Angelo receive?
Answer:
7 ten dollar bills and 5 twenty dollar bills
Step-by-step explanation
He recieved 5 bills of $20 and 7 bills of $10.
What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.We have the following statement Angelo cashed a check for $170, the bank teller gave him 12 bills, some $20 bills and the rest $10 bills
We can write -
20x + 10y = 170
x + y = 12
So, we can write -
y = 12 - x
We can write -
20x + 10(12 - x) = 170
20x + 120 - 10x = 170
10x = 50
x = 5
then -
y = 7
Therefore, he recieved 5 bills of $20 and 7 bills of $10.
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what is 3^6 x 3? Plz show how you solved it!
Find the x- and y-intercepts of the parabola y=−3x^2−5x+6
The x-intercepts are x = 2/3 and x = 3.
The y-intercept is (0, 6).
What is a parabola?A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.
The equation of a parabola:
y = a(x - h)² + k
we have,
To find the x-intercepts, we set y to zero and solve for x:
0 = −3x^2 − 5x + 6
We can factor this quadratic equation:
0 = (−3x + 2)(x − 3)
x - 3 = 0
x = 3
And,
-3x + 2 = 0
-3x = -2
x = 2/3
So the x-intercepts are x = 2/3 and x = 3.
To find the y-intercept, we set x to zero and evaluate y:
y = −3(0)² − 5(0) + 6
y = 6
So the y-intercept is (0, 6).
Thus,
The x-intercepts are x = 2/3 and x = 3.
The y-intercept is (0, 6).
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A horse gallops 16 miles in 2 hours. How many hours would it take the horse to gallop 40 miles?
Answer: 5 Hours
Step-by-step explanation: Divide 2 by 16 to get how many hours it takes to run 1 mile. Then multiply that number by 40 to get how many hours it would take run 40 miles.
Answer: 6 hours
Step-by-step explanation: if 16×3=48 and 2×3=6 it would take approximately 6 hours
Please, can someone help me on math? Struggling a bit.
Kristina, Liz, and Heather all made cookies. Kristina made 1.8 dozen less than 6 times as many dozen as Heather. Liz made 2.7 dozen more than 5 times as many dozen as Heather. If Kristina and Liz made the same number of cookies, how many dozen cookies did Heather make?
Answer:
Based on the number of cookies each girl made and if Kristina and Liz made the same number of cookies, then Heather made 4.2 dozen cookies.
Step-by-step explanation:
In order to find the number of cookies that Heather made, you need to set up two equations that represent the number of cookies that Kristina and Liz each made. Since Kristina made 2.4 dozen less than 6 times as many dozen as Heather, we can represent that with the equation 6c - 2.4. Since Liz made 1.8 dozen more than 5 times as many dozen as Heather, we can represent that with the equation 5c + 1.8. We can set both equations equal to each other since Liz and Kristina made the same number, so 6c - 2.4 = 5c + 1.8. Solving for 'c', which represents how many dozen cookies Heather made, we get 4.2
The admision fee at a basket ball game is 350$ for children and 750$ for adults. On a certain night,1500 people enter the basketball game and 6050$ was collected.How many children attended the basketball game?
Note: The only way to solve this problem is by adjusting the fees to $3.50 and $7.50.
Answer:
1300 children attended the basketball game
Step-by-step explanation:
System of Equations
Let's call:
x = number of children attending the basketball game
y = number of adults attending the basketball game
On a certain night, 1500 people enter the game, thus:
x + y = 1500 [1]
Since each admission fee for children cost $3.50 and $7.50 for adults and it was collected $6050, thus:
3.50x + 7.50y = 6050 [2]
From [1]:
y = 1500 - x
Substituting in [2]:
3.50x + 7.50(1500 - x) = 6050
Operating:
3.50x + 11250 - 7.50 = 6050
-4x = 6050 - 11250
Solving:
x = 1300
1300 children attended the basketball game
17 is what percentage of 50?
Answer:
8.5 if 17 percent of 50
Step-by-step explanation:
Answer:
34%
Step-by-step explanation:
Hope this helps.
Which equation could be used to solve the question below?
Kitty made b cups of dough. She divided the dough into 3 equal clumps. Each of the dough clumps doubled in size. Now, each clump is made of 6 cups of dough. How many cups of dough did Kitty originally make?
A.
b × 6 ÷ 2 = 6
B.
b × 3 × 2 = 6
C.
b ÷ 3 ÷ 2 = 6
D.
b ÷ 3 × 2 =6
please help whoever is right i will mark brainliest
Jara estimated her new shoes would cost $475. They actually costed $300 actually attended. What is the relative error?
Answer:
hbrfhjbwfjbrh
Step-by-step explanation:
ewjhfwh
Answer:
b
Step-by-step explanation:
You have $15 to spend in a candy store. If Kitkat cost $0.75 each and mini Snickers are $0.25 each.
1) What is the maximum number of mini Snickers you could buy?
2) What is the maximum number of Kitkats you could buy?
3) How do these maximums relate to the x and y-intercepts of the standard form linear equation that could be used to model this situation?
Answer:
1. 60 snickers
2. 20 KitKats
i cannot anwser 3 cause its not showing up somehow. Sorry.
Step-by-step explanation:
Answer:
1) 60 Mini Snickers
2) 20 Kitkats
3) We know that the x intercept is the value of x when y is 0. We also know that the Y intercept is the value of y when x is 0. Both maximums can represent either a y or x intercept because they are the value when you don't have any money left or $0.
Step-by-step explanation:
1) 15 ÷ 0.25= 60
2) 15 ÷ 0.75= 20
points
shhsusisueshjsjs
Answer:
THNX Really needed this
Step-by-step explanation:
BRAINLIEST PLSSSS
Answer:
thanks for the points
Step-by-step explanation:
parallelogram =
2x, 3x - 15, 2x + 24, 2x
Work out the value of x.
X=2x +£2x -15) +2x +(2x +24) 180= 9x+7x = 9 +9x = 18
Answer:
Step-by-step explanation:
The above figure is a parallelogram and so - "the opposite sides of a parallelogram are equal"
so -
To create a unique house paint color, Melton mixes together a sample that is 12 gallons of red, 2.5 gallons of yellow and 0.5 gallons of blue paint. He then mixes a main batch of paint using 30 gallons of yellow paint and enough red and blue paint to maintain the original ratio. How many total gallons of paint did he use to make the main batch of paint?
Answer:
180
Step-by-step explanation:
total ratio is 15
gallons of red =
[tex] \frac{12}{15} \times 6 \times \frac{15}{0.5 } \\ \\ = 144[/tex]
gallons of yellow
[tex]30[/tex]
gallons of blue
[tex] \frac{0.5}{15} \times 30 \times \frac{15}{2.5} \\ \\ = 6[/tex]
total =144+30+6
=180
Answer:
180
Step-by-step explanation:
Answer the following question
Answer:
f(-8) = 54
Step-by-step explanation:
To start, replace x in the equation with -8. This will give you f(-8) = 6(1 - (-8)) which can be simplified to f(-8) = 6(1 + 8). Apply the distributive property on the right side of the equation to get f(-8) = 6 + 48. When simplified, you get f(-8) = 54.
Find the unit rate. Round to the nearest hundredth, if necessary.
$5.99 for 18 lb
The unit rate is ?/b
Select the correct answer.
Rewrite the following equation as a function of x.
Answer:
It's D
Step-by-step explanation:
Answer: The correct answer is D
Step-by-step explanation:
what is the least common denominator for 6/7 and 1/2?
Answer:
LCD = 14
Equivalent Fractions with the LCD
6/7 = 12/14
1/2 = 7/14
The least common denominator for 6/7 and 1/2 is 14.
What is the least common denominator?The least common denominator is the smallest number of all the common multiples of the denominators when 2 or more fractions are given.
Given are two fractions, 6/7 and 1/2
The LCD for these two will be =
6/7 = 12/14
1/2 = 7/14
LCD = 14
Hence, the least common denominator for 6/7 and 1/2 is 14.
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Two of the solutions for the equation 2x + 3y = 12 are (9, ? ) and ( ? , 4).
Answer:
(9,-2)
(0,4)
Plato
The total delivery charge for delivering 4 pizzas is $9.00. At this same rate, how much would the total delivery charge be for delivering 12 pizzas?
Answer:
27
Step-by-step explanation:
9.00 divided by 4 = 2.25
2.25 x 12 = 27
Answer:
$27
Step-by-step explanation:
First, you would take 12(amount of pizzas the question is asking) divided by 4(amount of pizzas) and get 3
Then you multiply $9.00(the delivery fee for 4 pizzas) by 3(how much pizzas the question is asking divided by 4) and get $27
12 divided by 4 = 3
3 times $9.00 = $27
A student simplifies the expression correctly.
218 ÷ 29
Which equation justifies how the expression would simplify?
Answer:7.51724137931
Step-by-step explanation:
what is the LCD of 8/9 and 7/8
Answer:
72 I think
Step-by-step explanation:
I'm not 100% sure but I think its 72
Answer:
The Least Common Multiple (LCM) of 8 and 9 is 72,
and the Least Common Multiple (LCM) of 7 and 8 is 56.
The ratio of 1.5 to 33 is the same as the ratio of 4.5 to
Answer:
132
Step-by-step explanation:
there are 30 students in class. 18 of them are wearing plaid. what percentage of students are wearing plaid for spirit week?
Answer:
The answer is 5.4%
Step-by-step explanation:
30 of 18 is 5.4
Question #5
Consider the equation.
72 +48 = 8
1+6)
Enter the unknown number that makes the equation true.
Your answer
Σ
After using some of the honey they collected for baking, they found that they only had 34 gallon of honey left. How much honey did they use for baking? Support your answer using a diagram, numbers, and words.
Answer:
34 gallons of honey left
Step-by-step explanation:
(10t + 2r)-8t-r
What is this solved
Answer:
?
Step-by-step explanation:
Answer:
r+2t
Step-by-step explanation:
hope this helps :)
Mr. Ruiz has 200 students who are interested in joining the marching band. He decides to have 80% of the band be
made up of brass instruments. How many of the 200 students would play brass instruments?
A. 16 students
B. 60 students
C. 160 students
D. 280 students
Answer:
160 students
Step-by-step explanation:
As, 80% of 200 students instruments are of brass
So 80% of 200
= 80/100 x 200 = 160
So 160 students
The park is 5 miles east of your home. The library is 4 miles north of the park. How far is your home from the library? Round your answer to the nearest tenth. Must show work to receive full credit.
Please help
Answer:
6.4
Step-by-step explanation:
4 squared plus 5 squared is 41 and then you square 41 which gives you 6.4
Please help 20points
Answer: the first one is 720. The second one is 72
Step-by-step explanation: