Answer:
$28.
Step-by-step explanation:
We have the system of equations
5b + 3s = 230 (b = cost of 1 ball and s = cost of 1 stick).
5b + 2s = 200
Subtract the above from the first equation:
s = 30
So, substituting in equation 1:-
5b + 3(30) = 230
5b = 230 - 3(30) = 140
b = 28.
Checking in equation 2:-
5(28) + 2(30)
= 10 + 60
= 200.
- this checks out OK.
The cost of one hockey ball will be $28.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The system of equations from the given data are:-
5b + 3s = 230 (b = cost of 1 ball and s = cost of 1 stick).
5b + 2s = 200
Subtract the above from the first equation:
s = 30
So, substituting in equation 1:-
5b + 3(30) = 230
5b = 230 - 3(30) = 140
b = 28.
Therefore, the cost of one hockey ball will be $28.
To know more about an expression follow
https://brainly.com/question/723406
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what's is 11 divided by 620
Answer:
0.017741
Step-by-step explanation:
A restaurant freezes a cherry and lime juice mixture to create slushes. Cherry juice costs $5 per quart, and lime juice costs $3 per quart. Each day, the restaurant spends a total of $36 on 8 quarts of juice. The restaurant manager organizes the information in the table below.
Which equation can be used to determine the amount of cherry juice in each mixture?
5q + 3(8 – q) = 36
5q + 3(8 – q) = 8
q + (8 – q) = 8
q + 5 = 5q
Answer:
I think 5q+3(8-q) =36 is the answer for this question
Based on the amount the restaurant manager spends on the juice mixture, the amount of cherry juice can be found as 5q + 3(8 – q) = 8.
What is the amount of cherry juice used?Assuming the cherry juice is q and the lime juice is r, the following formulas would be true:
q + r = 8
5q + 3r = 36
The first equation can be rewritten as:
q + r = 8
r = 8 - q
Using substitution into the second formula we get:
5q + 3r = 36
5q + 3(8 - q) = 36
Find out more on simultaneous equations at https://brainly.com/question/16863577.
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Evaluate the following expression using the values given: (1 point)
Find 3x − y − 3z if x = −2, y = 1, and z = −2.
find the least square number which is exactly divisible by 8,12,15&20
Answer:
first we need to find the LCM of the given numbers i.e. 8, 12, 15 and 20
2*2*2*5*3=120
Then
as 2, 3, 5 are not in pairs, we need to multiply the LCM with 2*5*3=30
so,
least perfect square number which is divisible by each of numbers 8 12 15 and 20
=120*30=3600
Step-by-step explanation:
Hello can we be friends.....
Connor wants to represent 25 divided by the difference of 12 and seven he writes the expression of ( 25÷12) -7 is Connor expression correct explain
Step-by-step explanation:
Step 1: Check to see if Connor is right
25 divided by the difference of 12 and seven
25 / (12 - 7)
Since we have a 12 and seven, that means that we have them together. However, how Connor is presenting it, it would be 25 divided by 12 subtracted 7. Therefore, Connor is incorrect.
Answer:
No he's not correct.
Step-by-step explanation: Let's take a step back and look at the question, he wants to represent the difference of 12 and 7 ÷ by 25. Therefore in order to do that we need to figure out the difference 12 and 7 so the equation would look like this 12-7=5 after doing that we divide 5 by 25 so it would look like this 25÷5=5.
So the correct equation is (12-5) ÷25
Hope this helps!
Which number belongs to the solution set of the equation?
x + 3 = 45
A. 15
B. 48
C. 43
D. 42
Answer:
D
Step-by-step explana
[tex] \sf \: The \: value \: of \: x \: is \: the \: number \: that \: belongs \: to \: the \: solution \: \\ \sf \: set \: of \: the \: equation. \: So \: we \: need \: to \: find \: x.[/tex]
[tex] \sf \: x + 3 = 45 \\ \sf \: x = 45 - 3 \\ \sf \: x = \underline{42}[/tex]
Answer ⟶ [tex]\boxed{\bf{D.42}}[/tex]
How many L of a 10% alcohol solution must be mixed with 9l of a 80% alcohol solution to make a 55% solution
Answer:
Step-by-step explanation:
The best thing to do for these solution/mixture problems is to make a table:
#L * %alcohol = L alcohol
10% sol.
+ 80% sol.
55% sol.
In this way, we can keep track of our information AND figure out the equation we need to use to solve it. Notice first, the equation along the top of the table:
#L * %alcohol = L alcohol This tells us that we are multiplying the #L column times the %alcohol column to get the L alcohol column. Notice second, that there is a + sign to the far left, indicating that we are ADDING rows 1 and 2 together to get the mix. Let's start filling this in. The easy part is the % alcohol column. 10% alcohol has .10 alcohol as a decimal, likewise for the 80% and 55%:
#L * %alcohol = L alcohol
10% sol. .10
+ 80% sol. .80 =
55% sol. .55
Now to fill in the first column. We know that our unknown, from the problem, is the number of Liters, #L in the 10% solution, so that is x, and we also know that we have 9 L of the 80% alcohol. Filling that in:
#L * %alcohol = L alcohol
10% sol. x * .10
+ 80% sol. 9 * .80
55% .55
Now look back at the + sign. We are told that we are mixing the 10% with the 80%, so we are adding them together. So let's do that. We will also follow the rule for the table and multiply the first column times the second column to fill in the last column to complete the table:
#L * %alcohol = L alcohol
10% sol. x * .10 = .10x
+ 80% sol. 9 * .80 = 7.2
55% sol. (9 + x) * .55 = .55x + 4.95
If we add the 2 solutions together to get the new solution in the first column, we will also add the L alcohol in the last column to get our equation:
.10x + 7.2 = .55x + 4.95 and
- .45x = - 2.25 so
x = 5L
We need 5 Liters of the 10% solution if we want to mix that with 9L of 80% solution to get 14 L of 55% solution.
Plz someone do this for me I’ll give a lot of points
Answer:
RW is congruent to WX
Step-by-step explanation:
We know that PW and WV and Angle W is vertical angle so We need to include that RW congruent to WX.
Which shows a difference of squares?10 y squared minus 4 x squared16 y squared minus x squared8 x squared minus 40 x 2564 x squared minus 48 x 9
Answer:
16 y squared minus x squared
Step-by-step explanation:
The other all expressions except 16y²-x² doesn't complete the square and its difference. Then we can check 16y²-x²,
Now take the expression 16y²-x² and we can try to solve it.
We can simplify the terms separately to associate them as perfect squares,
→ 16y² = (4y)² --- (1)
→ x² = (1x)² --- (2)
Now we can take the difference of eq. (1) and eq. (2),
→ 16y²-x²
→ (4y)²-(1x)² --- (3)
Now eq. (3) shows a difference of squares.
Another representation is,
→ (4y - x) (4y + x)
→ 16y²- x²
→ (4y)²- (1x)²
Therefore, the expression 16y²-x² shows a correct difference of squares.
Answer:
its b trust
Step-by-step explanation:
Grade improvement and study motivation
Answer:
yes because we are leraning new things
Karma was given some birthday money. She puts money in an account. Every month after that, she deposits the same amount of money. The equation that models this situation is y=75x+60, where y is the amount of money in the account and x is the number of deposits. What does the y-intercept mean in this situation
Answer:
y represents the amount in the bank account after 7 months.
Step-by-step explanation:
Let karma gets x money on his birthday.
He has 60 in his account initially
He deposits teh same money for the seven months
So, the money he has after the seven months is 7 x + 60
According to the question,
y =7 x + 60
It shows that the amount after seven months is y.
10)
Ka
The longer base of a trapezoid has endpoints of (-2,- 4) and (4,0). The shorter base contains the point (3, 1).
(40)
(2)
We an equation of the line that contains the shorter base of the trapezoid. Provide valid mathematical reasoning and calculations to
you derived your equaiton.
of a trapezoid are parallel
Suation and explanation in the space provided.
Math symbols
Relations
Geometry
Answer:
y = 2·x/3 - 1
Step-by-step explanation:
The endpoints of the longer base of the trapezoid = (-2, -4), and (4, 0)
The point contained on the shorter base = (3, 1)
The slope of the line representing the longer base, m, is given as follows;
m = (0 - (-4))/(4 - (-2)) = 2/3
The slope of the shorter base = The slope of the longer base = m = 2/3
The equation of the line representing the shorter base in point and slope form is therefore;
y - 1 = (2/3)·(x - 3)
∴ y = 2·x/3 - 2 + 1 = 2·x/3 - 1
The equation of the shorter side of the trapezoid is y = 2·x/3 - 1
Complete the sentence. The amount of time it takes to drive from your house to the library is most likely to be a function of the _____.
Answer:
D. distance
Step-by-step explanation:
really ? given the choices you needed help with that ?
only D makes sense. the rest is completely ridiculous and has nothing to do with driving from the house to the library.
Anyone? Ive tried and its not clicking
Answer:
Hello Bro How Are You....?
The number 55 is attached to a two-digit number on its left, and the formed 4-digit number is divisible by 24. What could be the two-digit number? List all options.
Answer:
the answer will be 44 I think I hoped I helped if not sorry.
Step-by-step explanation:
please help with the fourth part
Answer:
ofc its p/q
Step-by-step explanation:
Which choice shows the coordinates of C' if the trapezoid is reflected across the y-axis?
Answer:
(-5, 3)
Step-by-step explanation:
two football tickets and one basketball ticket cost $126.77. one football ticket and 2 basketball tickets cost $128.86 find the cost of each ticket
Answer:
Cost of each football ticket=$41.56
Cost of each basketball ticket=$43.56
Step-by-step explanation:
Let
Cost of each football ticket=x
Cost of each basket ball ticket=y
According to question
[tex]2x+y=126.77[/tex]...(1)
[tex]x+2y=128.86[/tex] ....(2)
We have to find the cost of each ticket.
Equation (1) multiply by 2 then we get
[tex]4x+2y=253.54[/tex] .....(3)
Now, subtract equation (2) from (3)
[tex]3x=124.68[/tex]
[tex]x=124.68/3[/tex]
[tex]x=41.56[/tex]
Now, using the value of x in equation (2)
[tex]41.56+2y=128.86[/tex]
[tex]2y=128.86-41.56[/tex]
[tex]2y=87.3[/tex]
[tex]y=87.3/2=43.65[/tex]
Hence, cost of each football ticket=$41.56
Cost of each basketball ticket=$43.56
Help me ASAP please people
Answer: 36
Step-by-step explanation= First let's calculate the area of the the inner rectangle so 6x4=24. Now let's add the area of the rectangle,(BY CUTTING IT INTO HALF) this part is hard but first lets add 3 cm then, 2 cm then lets add, 1 cm. So (3x2 is 6) now lets multiply that by 1, so you get 6. Multiply that by 4 it = 24 now let's add 24+24 which = 48. Hope it helps!!
Can someone help me with this math homework please!
Answer:
3.5
Step-by-step explanation:
From the graph,
x1 = 0
x2 = 4
y1 = 0
y2 = 14
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope
= ( 14 - 0 ) / ( 4 - 0 )
= 14 / 4
= 7 / 2
= 3.5
Answer:
7/2
Step-by-step explanation:
the slope of a line is the ratio of y/x.
it describes how many units y changes, when x changes a defined number of units.
an increase is indicated by "+", and a decrease by "-".
the point with full integer/natural numbers as coordinates is (4, 14).
that means that when coming from point 0 (0, 0) x increases by 4 units, and y increases by 14 units.
so, the slope of line is 14/4 = 7/2
Find BD , given that line AB is the angle bisector of < CAD
Answer:
23
Step-by-step explanation:
The answer is 23 by the definition of angle bisector.
4|x+3|<8 i need help asap
Answer:
-5 <x<-1
Step-by-step explanation:
4|x+3|<8
Divide by 4
4|x+3| /4<8/4
|x+3|<2
There are two solutions one positive and one negative, remember to flip the inequality for the negative
x+3 <2 and x+3 >-2
Subtract 3 from each side
x+3-3 <2-3 and x+3-3 >-2-3
x<-1 and x>-5
-5 <x<-1
-5(n²+9)=7.
Find n.
Answer:
Step-by-step explanation:
-5n^2-45=7--->-5n^2=52--->n^2=52÷(-5)= there is no answer for this question...I mean Paired power never has a negative answer.
Which point gives the y-intercept of ƒ(x) = –x2 + 4x – 3?
Answer:
A) (0,-3)
Step-by-step explanation:
to get the y-intercept let x = 0, then
y = 0 + 0 -3
y = -3
Answer:
(0,-3)
Step-by-step explanation:
The y intercept is where x=0
ƒ(x) = –x^2 + 4x – 3?
f(0) = -0^2 +4(0)-3
f(0) = -3
(0,-3)
Can someone help me with this math homework please!
In case of Nina:
slope of graph = speed = 48-32/6-4 = 16/2 =8
y-32 =8(x-4)
y-32=8x-32
y=8x
d=8t
at x= 0 i.e at t= 0
d= 0m
In case of Ryan:
slope =speed = 47.5-35=6-4 = 12.5/2 =6.25
y-35=6.25(x-4)
y-35=6.25x-25
y=6.25x+10
d=6.25t+10
at t = 0, d= 10m
RYAN had a head start of 10 m
Mr. Fischer, a bilingual teacher, teaches a mathematics class composed of native English speakers and English language learners (ELLs). He has introduced a new topic with new vocabulary words in which he presented the vocabulary words with several examples. Which of the following strategies should Mr. Fischer use next to check each student's understanding of the vocabulary words?a. having students look up the definition online to see if it matches what Mr. Fischer told themb. having students copy down the definition for each word that Mr. Fischer wrote on the board in Englishc. placing students in groups so each student can explain the vocabulary terms to their peers in Englishd. having students write a definition for each term in their own words in their native language
Answer:
D. having students write a definition for each term in their own words in their native language
Step-by-step explanation:
In Mr Fischer's mathematics class, we are presented with two categories of learners. Those that are native speakers of English and those who are learners of English.
Both categories of students would show their understanding best in this lesson if they were to write in their own native language.
The native english-speakers would have no issues writing in English, but those who are English learners would have problems communicating their understanding of the lesson in English. So it is best they give their definitions in their native language.
Please help immediately, this is urgent!!! If you see this please answer my question.
Answer:
It is the second option down
Step-by-step explanation:
The lengths of the sides of a triangle are 3, 4, 5. Can the triangle be a right triangle?
Answer:
Yes it can
Step-by-step explanation:
To check wether it's a right angle triangle we need to apply the Pythagoras theorem
h^2= a^2 +b^2
Hypotenuse is always the longest side so
5^2 = 3^2 + 4^2
This is correct, so the triangle is a right angle triangle
Answer from Gauthmath
Help Please Now!!!
Find the volume of the rectangle prism
Answer:
V =48 cm^3
Step-by-step explanation:
The volume of a prism is given by
V = l*w*h
V = 3*4*4
V =48 cm^3
V =48 cm^3
Step-by-step explanation:
The volume of a prism is given by
V = l*w*h
V = 3*4*4
V =48 cm^3
5. Find the measures of the following. Round to the nearest whole number. (2 points)
a. HT
H
b. 2T
15 cm
C. ZH
W
8 cm
T
Answer:
HT = 17 cm
<T = 58°
<H = 32°
Step-by-step explanation:
✔️Find HT:
Since it's a right triangle, we would apply the Pythagorean Theorem given as c² = a² + b²
Where,
a = HW = 15 cm
b = WT = 8 cm
c = HT
Plug in the values:
HT² = 15² + 8²
HT² = 289
HT = √289
HT = 17 cm
✔️Find <T by applying trigonometric ratio formula:
Recall: SOH CAH TOA
Reference angle (θ) = <T
HW = 15 cm = Opposite side length
WT = 8 cm = Adjacent side length
Apply CAH:
Cos θ = Adj/Hyp
Substitute
Cos T = 8/15
T = [tex] cos^{-1}(0.5333) [/tex]
T ≈ 58°
✔️Find <H:
Sun of interior angles of a triangle = 180°
Therefore,
m<H + m<T + m<W = 180°
Substitute
m<H + 58° + 90° = 180°
m<H + 148° = 180°
m<H = 180° - 148°
m<H = 32°
