Answer: She purchased 72 cones, 32 balls, and 60 vests.
Step-by-step explanation:
The total number of items is 164.
The price of the vests is $2.50 each.
The price of the soccer balls is $9.25 each.
The price of the cones is $0.75 each.
The total budget was $500.
If V is the number of vests, B the number of balls, and C the number of cones, we have that:
V + B + C = 164.
V*$2.50 + B*$9.25 + C*$0.75 = $500.
and:
"She purchased 40 more cones than balls."
C = B + 40.
Then we have a system of 3 equations and 3 variables:
V + B + C = 164.
V*$2.50 + B*$9.25 + C*$0.75 = $500.
C = B + 40.
Here the first step is to replace the third equation into the other two, in this way we eliminate one variable and one equation:
V + B + (B + 40) = 164
V*$2.50 + B*$9.25 + (B + 40)*$0.75 = $500.
Now we want to isolate one variable in one of the equations, i will isolate V in the first equation:
V = 164 - 2*B - 40 = 124 - 2*B
Now i can replace this into the other equation:
(124 - 2*B)*$2.50 + B*$9.25 + (B + 40)*$0.75 = $500
Now let's solve this for B.
$310 - $5*B + B*$9.25 + B*$0.75 + $30 = $500
B*( $9.25 - $5 + $0.75) = $500 - $310 - $30
B*$5 = $160
B = 160/5 = 32
Now we know the value of B.
And by the equations above:
V = 124 -2*B = 124 - 2*32 = 60
C = B + 40 = 32 + 40 = 72.
Then:
She purchased 72 cones, 32 balls and 60 vests.
10 ft 8 ft 5 ft 4 ft 8 ft 17 ft What is the volume of the figure? Enter the answer in the box. 1 cubic feet
Answer: 944 cubic feet
Step-by-step explanation:
Answer:
It’s 944
Step-by-step explanation:
It was on my last test and I got it right
IS 7 LESS THAN OR GREATER THAN -3
Answer:
7 is greater than -3
Step-by-step explanation:
7 is positive meaning is more than any negative number
Answer:
7 is greater
Step-by-step explanation:
Graph it on a number line. 7 is on the positive side and -3 is the negative side, and positive numbers always are bigger than negative numbers.
Evaluate v(x) = 14 – 3x when x = -3,0, and 4.
v(-3) =
v(0) =
v(4) =
[tex]v(x) = 14 - 3x\\v(-3) = 14 - 3 \cdot (-3) = 14 + 9 = 23\\v(0) = 14 - 3 \cdot 0 = 14 - 0 = 14\\v(4) = 14 - 3 \cdot 4 = 14 - 12 = 2[/tex]
I need help and it’s due today
Answer:
5.63
Step-by-step explanation:
Angle NLM is equal to KLM - KLN.
Since KLM = 137° and KLN = 47°, NLM = °90. (Maybe it doesn't look like a right angle, but the math doesn't lie.)
Since NLM = 16y, then 90 = 16y.
Dividing both sides by 16, we find that:
y = 5.625
Answer:
y = 5.63
Explanation:
This answer is 5.23 because ∠KLN plus ∠NLM are equal to ∠KLM or 137°.
If you subtract 47 from 137 you will get 90. If you divide 90 by 16 you will get 5.625 which is rounded to 5.63.
Calculate The mode of this set of numbers 2,5,1,6,3,8,5,9,2,4,7
4. Which expression represents a number greater than 8,000 but smaller than 80,000
Answer:
8000<x<80000
Step-by-step explanation:
a number(x) is greater than (<) 8000
and x is also less than(<) 80000
How is density calculated given mass and volume? 1.) Mass divided by volume 2.) Mass multiplied by volume 3.) Sum of volume and mass 4.) Difference of volume and mass
Answer:
1.) Mass divided by volume
Step-by-step explanation:
The definition of density is "mass per unit volume." It is calculated by dividing mass by volume.
t=h+kg isolate g rearrange the formula above
Answer:
[tex]\frac{\left(t-h\right)}{k}\\[/tex] = g
Step-by-step explanation:
Subtract the h
t = h+kg
-h -h
you get:
t-h=kg
now divide the k from both sides
[tex]\frac{\left(t-h\right)}{k}\\[/tex] = [tex]\frac{\left(kg\right)}{k}[/tex]
so,
[tex]\frac{\left(t-h\right)}{k}\\[/tex]=g
F(x)=-2x -3 and g(x)=x^2 +5x,find g(2)-f(3)
Answer:
f(3)= -9, g(2)=4
Step-by-step explanation:
F(3)= -2(3) -3
F(3)= -6 -3
F(3)= -9
G(2)= 2^2
G(2)= 2×2
G(2)= 4
Solve the equation algebraically (x-8)^2=25
Hey there!
ANSWER: [tex]x=8,13[/tex]EXPLANATION:[tex](x-8)^2=25[/tex]
To solve this equation, you will need to simplify both sides.
[tex]x^2-16x+64=25[/tex]
Now we will need to minus(subtract) 25 from both sides of the equation.
[tex]x^2-16x+64-25=25-25=x^2-16x+39=0[/tex]
Now we will need to factor out the left side.
[tex](x-3)(x-13)=0[/tex]
In our last step, we will need the set factors equal to zero.
[tex]x-3=0\\x-13=0\\x=3(ANSWER)\\x=13(ANSWER)[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
Please help with my music math
3x + 1 = 5X-13 if anyone knows what to do can they please help
Answer:
x = 7
Step-by-step explanation:
First, you look at the equation. Identify the locations of variable terms (both sides of the equal sign) and the constant terms (both sides of the equal sign).
If there are any parentheses, it is a good idea to use the distributive property to eliminate them. Here, there are none.
I like to start by subtracting the variable term with the smallest coefficient. Here, that is 3x, so we add -3x to both sides of the equation.
3x -3x +1 = 5x -3x -13
1 = 2x -13 . . . . . . . . . . . . combine like terms
Now, we have the only variable term on one side of the equal sign. We want it by itself, so we need to make the -13 go away. We do that by adding its opposite to both sides of the equation:
1 +13 = 2x -13 +13
14 = 2x . . . . . . . . . . . . combine like terms
Finally, we want the coefficient of 2 in the x-term to disappear. We make that happen by multiplying both sides of the equation by 1/2, the reciprocal of that coefficient.
(1/2)(14) = (1/2)(2x)
7 = x . . . . the solution
__
It is generally a good idea to check your work by seeing if your solution value satisfies the equation:
3(7) +1 = 5(7) -13 . . . . put 7 where x is in the original equation
21 +1 = 35 -13
22 = 22 . . . . . . x = 7 is the solution
_____
Additional comment
By subtracting 3x from 5x, the result is 2x with a positive coefficient. We could solve the equation just as easily by subtracting 5x from 3x. That result would be ...
-2x +1 = -13
Subtracting 1 would give
-2x = -14
and you would multiply by -1/2 to get x=7. I personally like to avoid having this many minus signs show up in the problem. That is why I choose to subtract the x-term with the smallest coefficient.
If a plant grows 1/4 cm everyday for 21 days, what is the total amount of growth PLS HELP
There is a harvest festival each year on the planet Bozone. During that time, most of the Bozone residents sit down to rejoice and eat roast snig. Past history shows that a reasonable price-demand equation is: p = 300 − 18 x where x is the number of kilograms of snig sold, and p is the price per kilogram of snig in the local currency, the Boat. a . To sell an additional kilogram of snig, how much does the price need to decrease
Answer:
The price would be decreased by 18 bozats
Step-by-step explanation:
The following information is given in the question
x = number of kilograms of snig sold
P = Price per kilogram
And, the equation is
p = 300 - 18x
Now if an extra kilogram is sold so it should be x+1
Now the new price is
New price = 300 - 18(x + 1)
= 300 - 18x - 18
Therefore the price would be decreased by 18 bozats
Given that:
Price-demand equation is
[tex]p=300-18x[/tex]
where, x is the number of kilograms of snig sold, and p is the price per kilogram of snig in the local currency, the Boat.
To find:
The price which needs to decrease to sell an additional kilogram of snig,
Solution:
We have,
[tex]p=300-18x[/tex]
If x=1, then
[tex]p=300-18(1)[/tex]
[tex]p=300-18[/tex]
[tex]p=282[/tex]
It means, the price is 282 if 1 kg of snig sold.
Similarly,
If x=2, then
[tex]p=300-18(2)[/tex]
[tex]p=300-36[/tex]
[tex]p=264[/tex]
It means, the price is 264 if 2 kg of snig sold.
Change in price if sales increased by 1 kg is
[tex]264-282=-18[/tex]
Here, negative sign means decrease in price.
Therefore, the price needs to decrease by 18 to sell an additional kilogram of snig.
Which statement best explains why Ben uses the same width to draw arcs from A and B which intersect at S?
Answer:<AQS BQS WHEN AS =BS AND AQ = BQ
Step-by-step explanation:
Answer: AQS BQS WHEN AS =BS AND AQ = BQ
Step-by-step explanation:
Took the test!
A rectangular lawn has a width of 3 1/2 yards. The length of the lawn is 2 yards. What is the area
Answer:
7 yards
Step-by-step explanation:
Multiply length and width wen finding the area so 3 1/2 time 2
Answer:
7 yards
Step-by-step explanation:
Area= LxW
3 1/2 x 2=7
It takes_ hours to reach the sea.
Answer:
it takes 1 hours to reach the sea.
Answer:
It takes 0.02 hours to reach the sea
Step-by-step explanation:
The answer is 0.02 hours because:
1) You have to divide 0.5 and 21
2) The answer would be: 0.0238095238
3) Now, round you answer to the nearest hundredth.
4) Your answer will be 0.02
Hope this helps!
I need help on this. An answer and an explanation would be great!!
Answer:
60 & 55
Step-by-step explanation:
1. the sum of the angles 1; 2 and 3 is 180°, then
m∠1=m∠2=m∠3; ⇒m∠3=60°;
2. m∠3=m∠r; ⇒ m∠r=60°;
3. m∠α= 180-(m∠r+65°)°; ⇒ m∠α=55°
all the details are in the picture.
Find tan(13pi/4)-cos(pi/3)
Answer: [tex]tan(\frac{13\pi }{4})-cos(\frac{\pi }{3})=\frac{1}{2}[/tex]
Step-by-step explanation:
To find [tex]tan(\frac{13\pi }{4})-cos(\frac{\pi }{3})[/tex], we first need to understand the unit circle. Let's find the value of tan and cos before we subtract them.
[tex]tan(\frac{13\pi }{4} )[/tex] is the same as [tex]tan(\frac{5\pi }{4} )[/tex]. The point for [tex]\frac{5\pi }{4}[/tex] is (-0.5,-0.5). Tangent is [tex]\frac{sin}{cos}[/tex]. Since sin and cos are both -0.5, we can divide them.
[tex]\frac{-0.5}{-0.5} =1[/tex]
Now, we know that [tex]tan(\frac{13\pi }{4} )=1[/tex]. All we have to do is find [tex]cos(\frac{\pi }{3})[/tex].
[tex]cos(\frac{\pi }{3})=\frac{1}{2}[/tex]
Now that we know the values of both, we can directly subtract them.
1-0.5=0.5
Therefore, [tex]tan(\frac{13\pi }{4})-cos(\frac{\pi }{3})=\frac{1}{2}[/tex].
125 is.a perfect square or perfect cube
Answer:
Perfect cube
Step-by-step explanation:
5 x 5 x5 = 125
5x5= 25
25x5 =125
Answer:
It is a perfect cube with sides of 5.
Step-by-step explanation:
If 125 was a perfect square, there would be a whole number A which, squared, would give us 125.
[tex]A^2 = 125\\A = \pm 11.18...[/tex]
We can see that the roots are not whole numbers.
(Tip: without a calculator, we can find this by testing [tex]10^2 \ 11^2\ 12^2[/tex] to see if any give us 125. We get 100, 121, 144 respectively. None of them is 125.)
If it was a perfect cube, there would be a whole number B which, cubed, would give us 125.
[tex]B^3 = 125\\B = \sqrt[3]{125} \\B = 5[/tex]
As we can see, there IS a whole number B: 5 !
(Without a calculator, like the previous one, we could try [tex]4^3\ 5^3\ 6^3[/tex] and we'd find that [tex]5^3[/tex] = 125)
Answer: It is a perfect cube with sides of 5.
-56.5 as a mixed number
-56 is the whole number
0.5 is the fraction part (0.5 = 1/2)
If we put them back together, we get;
-56 1/2
Best of Luck!
How do you write 28 and 65 thousandths in decimals?
Answer:
28.065
Step-by-step explanation:
The first spot behind the decimal point is tenths, the second hundredths, and the third thousandths.
Kameron has 9 video games at his house. This is half as many games as Kevin has. Write an equation that demonstrates the relationship between how many games kameron and Kevin have.
Answer:
The answer is 18
Step-by-step explanation: Because 9 + 9 = 18 so therefore Kameron and Kevin has 27 video game in total :/
2 bracket 2x-2 bracket=12
Simplify the following expression.
(38x+61y)-(3x-11y)
the answer is 35x+72y for plato im only putting this question up to help people with the same problem i had, ill give brainliest out to the first person who works this out and gives a intelligent response.
Answer:
35x+72y
Step-by-step explanation:
well you are subtracting the terms 3x and -11y from the terms 38x and 61y. so to start you multiply 3x and -11 by negative one to get rid of the parentheses. you then you combine like terms.
An angle in a triangle measures 138 °. The other two angles are congruent. Enter and solve an equation to find the x measure of the congruent angles. An equation is _______ = 180. Angles congruent with each measure ________
Hey there! I"m happy to help!
The interior angles of a triangle add up to 180. We have 2 angles that have a value of x, so 2x+138=180.
We subtract 138 from both sides.
2x=42
We divide both sides by 2
x=21.
Have a wonderful day! :D
B = 6/13 Y +12 Solve for y
Answer:
y = (13/6)(b - 12)
Step-by-step explanation:
b = 6/13 y + 12
Subtract 12 from both sides.
b - 12 = 6/13 y
Multiply both sides by 13/6.
(13/6)(b - 12) = y
y = (13/6)(b - 12)
m. MRO = 127° m. MRP = 87º and m. NRQ = 83
Find m NRP
Answer:
don't know answer what is answee
ITS EASY PLS HELP !!!
Answer: i have no idea
Step-by-step explanation:
Which term best describes a figure formed by three segments connecting
three noncolinear points?
A. Angle
B. Obtuse
C. Vertex
D. Triangle
Answer:
The term that best describes a figure formed by three segments connecting three non-collinear points is:
Triangle.
Step-by-step explanation:
Step-by-step explanation:
We know that with the help of just one point we can't form any figure.
With the help of two points a line segment can be formed.
And with the help of three points if the three points are collinear a triangle can be formed.
Hence, the term that best describes a figure formed by three segments connecting three non-collinear points is:
Triangle.