Answer:
He bought 6 hotdogs and 2 drinks
Step-by-step explanation:
System of Equations
Kevin and his children went into a restaurant and bought $31.50 worth of hotdogs and drinks. Each hotdog costs $4.50 and each drink costs $2.25.
To solve the system of equations, we'll call the variables:
x = number of hotdogs
y = number of drinks
The first condition yields the equation:
4.50x + 2.25y = 31.50 [1]
It's also known he bought 3 times as many hotdogs as drinks, thus:
x = 3y [2}
Substituting [2] in [1]:
4.50(3y) + 2.25y = 31.50
Operating:
13.5y + 2.25y = 31.50
15.75y = 31.50
y = 31.50/15.75
y = 2
And
x = 3*2 = 6
He bought 6 hotdogs and 2 drinks
If two rectangles are similar, what is the length of side x? Give your answer to one decimal place. Rectangle 1: A = 13.4ft B = 4.6ft Rectangle 2: A = 87.1 ft B = x
Answer:
x = 29.9 ft
Step-by-step explanation:
Given:
Rectangle 1 ≈ Rectangle 2
In Rectangle 1
A = 13.4 ft
B = 4.6 ft
In Rectangle 1
A = 87.1 ft
B = x ft
Find:
Value of x
Computation:
Rectangle 1 ≈ Rectangle 2
So,
13.4 / 4.6 = 87.1 / x
x = [(87.1)(4.6)] / 13.4
x = 29.9 ft
Beanie works cleaning carpets. He charges $99 per room. If he cleans 3 rooms in one home, 5 in another, and 4
in a third home, how much will he make?
A. $693
B. $1188
C. $891
D. $792
Answer:
B. $1188
Step-by-step explanation:
If he makes $99 per room, add all the rooms first:
3 + 5 + 4 = 12 rooms total
Then multiply the number of rooms by the price per room:
$99 * 12 = $1188
convert 53 yards per hour into inches per day
1 yard = 36 inches.
53 yards per hour x 36 inches per yard = 1908 inches per hour.
1 day = 24 hours.
1908 inches per hour x 24 hours = 45,792 inches per day.
More than half of the students were excited about the project. In fact, were excited. If 10 students were not
excited about the project. how many students were excited?
Answer:1/2 divided by 10
Step-by-step explanation:
One way to determine the surface area of this cylinder is to -
Answer:
Option (A)
Step-by-step explanation:
Surface area of an object = Area of all the surfaces of the object
So, the surface area of the cylinder = Area of the two circular bases + Rectangular area around the surface of the cylinder
= πr²+ πr² + (2πr)h
= 2πr(r + h)
Therefore, Option (A) will be the correct option.
Answer:
A
Step-by-step explanation:
I did the quiz
Colin loves to eat tuna salad for lunch. His mom is always looking for a bargain on 12-ounce cans of tuna. Today, his local grocery store is offering 4 cans of Sea Star tuna for $3.28 and 2 cans of Ocean's Best tuna for $1.88. Which brand is the better deal?
Answer:
Local Grocer store's offer is the better deal
Step-by-step explanation:
In order to calculate which is the better bargain, we need to find out how much each deal is charging for the individual can of tuna. We calculate this by dividing the total of the offer by the number of cans of tuna it includes like so...
Local: $3.28 / 4 = $0.82 per can
Ocean's Best: $1.88 / 2 = $0.94 per can
Therefore, we can see that the Local Grocer store's offer is the better deal since it is selling you each can at 0.82 cents compared to the 0.94 cents that Ocean's Best is charging per can.
Answer:
It's seastar
Step-by-step explanation: tbh I put in seastar as an answer on ixl and got it correct but if you want to know what you have to all you need to do is divide price by amount and the one with less is the better option for example if you have a 4 pack for $4.56 you would do $4.56/4 price always goes first remember that! :D
solve the following question
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Answer:
π/3
Step-by-step explanation:
The given integral does not exist. We assume there is a typo in the upper limit, and that you want the integral whose upper limit is (√3)/2.
It is convenient to make the substitution ...
x = sin(y) . . . . so, y = arcsin(x)
dx = cos(y)·dy
Then the integral is ...
[tex]\displaystyle\int_0^{\sqrt{3}/2}{\dfrac{\cos{y}}{\sqrt{1-\sin^2{y}}}}\,dy=\int_0^{\sqrt{3}/2}{dy}=\left.\arcsin{x}\right|\limits_0^{\sqrt{3}/2}\\\\=\arcsin{(\sqrt{3}/2)}=\boxed{\dfrac{\pi}{3}}[/tex]
32. Sinead bought 2 shirts for $15.82 each and a pair of shoes for $42.37. If she
paid for the items with a $100 bill, how much change did she receive?
$25.99
$10.17
$74.01
$41.81
15.82x2=31.64
31.64+42.37=74.01
100-74.01=25.99
Sinead received $25.99 for change.
Answer:
Sinead received $25.99 for change.
Step-by-step explanation:
Find the equation of the line that passes through the points:
(-2, 4) and (1, 10)
Step-by-step explanation:
y=mx+ C
to find m (slope )
m= 10 _ 4 / 1- ( -2 )
m = 6 / 3 = 2
( I,10 ) Satisfy eq.
10 =2 x I + C
C= 5
. so, equation of Line is \
y= 2x +5
Maël mixes 151515 milliliters (\text{mL})(mL)left parenthesis, start text, m, L, end text, right parenthesis of bleach with 3.753.753, point, 75 liters (\text{L})(L)left parenthesis, start text, L, end text, right parenthesis of water to make a sanitizing solution for a daycare. The amounts of bleach and water always have to be proportional when he makes sanitizing solution.
Which of the following could be combinations of volumes of bleach and water for Maël's sanitizing solution?
The combination of volumes of bleach and water for Maël's sanitizing solution will be 12 mL of bleach and 3 L water, 6 mL of bleach and 1.5 L water, and 3 mL of bleach and 0.75 L water. Then the correct options are A, B, and C.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Maël mixes 15 milliliters of bleach with 3.75 liters of water to make a sanitizing solution for a daycare.
The ratio of bleach to water is given below.
Bleach / Water = 15 / 3.75 = 4
Bleach / Water = 12 / 3 = 4
Bleach / Water = 6 / 1.5 = 4
Bleach / Water = 3 / 0.75 = 4
Bleach / Water = 20 / 5.5 = 3.6363
The combination of volumes of bleach and water for Maël's sanitizing solution will be 12 mL of bleach and 3 L water, 6 mL of bleach and 1.5 L water, and 3 mL of bleach and 0.75 L water. Then the correct options are A, B, and C.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
The complete questions are given below.
PLZ HELP ME WITH THIS!?!? I WILL MARK BRAINLIEST!!!
Answer: can it be a bit clearer pls?
Step-by-step explanation:
Expression vs Equations
Answer:
20
Step-by-step explanation:
An expression dose NOT have an = sign
An equation dose have an = sign
In this case, the expression 4x+8, replace the x with 3, since x=3
4x + 8
4 x 3 + 8 ( don't forget PEMDAS )
12 + 8
20
help please :)))))(
Answer:
6 hours :))))))
Step-by-step explanation:
Answer:
3 or 4 I think
Step-by-step explanation:
I think this because if u find the red candles unit rate it's 9 and 9×4 is 36 but the thing is the other one is 12 12×4 is 48 but then if u do 12×3 it's 36. The rest don't work so 3 or 4 hours. But if someone else has a different answers do not put mines because I have no clue but I think it's that because of that reason.
Which statement best explains the relationship
between lines FG and HJ?
O They are perpendicular because their slopes are
equal.
O They are perpendicular because their slopes are
negative reciprocals.
They are not perpendicular because their slopes
are equal.
They are not perpendicular because their slopes
are not negative reciprocals.
Answer:
They are not perpendicular because their slopes are not negative reciprocals.
Step-by-step explanation:
A large pot of water is heating up on a stove at a constant rate. After three minutes of heating it had a temperature of 100 ℉. After nine minutes of heating the temperature was at 148 ℉. Let T be the temperature and n be the number of minutes. Write a linear equation for T in terms of n.
Answer:
Given function:
y=9.5x+62.1
We have to find the number of minutes x, when y=138.1°F
Put value of y in function.
138.1=9.5x+62.1
Subtract 62.1 from both sides.
76=9.5x
Divide both sides by 9.5.
8=x
or
x=8 minutes
Answer: After 8 minutes the temperature of water will be 138.1°
Step-by-step explanation:
Answer:
T= 8n+76
Step-by-step explanation:
First you need to find the average rate of change:
( 3, 100)
(9,148)
Subtract:
148-100= 48
9-3= 6
Then divide them:
48/6=8
This is your slope, now we must find our y- intercept by using the formula
y= mx+b:
y=mx+b
Plug in what you know:
y= 8x+b
To find your y-intercept use one of the 2 points above, either (3,100) or (9,148)
Plug in your x's and y's into your almost complete equation:
100= 8(3)+b
Then solve to get b:
You should get b=76
Hope this helps
What type of correlation does the scatter plot show?
A. Positive
B. Negative
C. Cannot tell
D. None
Solve for u .
-24 = u ÷ 6
u =
Answer:
[tex]u = - 144[/tex]
Step-by-step explanation:
[tex] - 24 = u \div 6[/tex]
[tex] - 24 \times 6 = u[/tex]
[tex] - 144 = u[/tex]
to be sure
[tex] - 24 { = }^{?} - 144÷6[/tex]
[tex] - 24 = - 24[/tex]
Answer:
u = -144
Step-by-step explanation:
-24 = u ÷ 6
Multiply both side by 6.
-24 × 6 = u ÷ 6 × 6
-144 = u
Verification:-
-24 = -144 ÷ 6
-24 = -24
LHS = RHS
a principle orders t-shirts and wants to check some of them to make sure they were printed properly. she opens the closet 2 of the 10 boxes of shirts and checks every shirt in those 2 boxes. what type of sampling is this?
Answer:
Cluster random sampling
Step-by-step explanation:
Given the third term is 12 and the rate of change is 3. What is the first 5 terms ?
Answer:
6, 9, 12, 15, 18
Step-by-step explanation:
If the third term is 12, then to find the first term subtract 3 twice (or just subtract 6) to get 6. To find the rest of the terms add 3 accordingly. The equation to find this would be:
a_n = 6 + (n-1)3
what is a preimage and image of triangle in a translation
Answer:
translation to what language?
Step-by-step explanation:
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Explanation:
The preimage is the original triangle, the figure before any transformation is done to it.
The image is the result of applying a transformation to the preimage.
__
When the transformation is translation, the image is congruent to the preimage, but is located in a different place. It is not rotated or reflected if the only transform is translation.
-4y-4+(-3) please help me! thank you
Answer: 1.75 = y
Explanation: In the picture linked
Hope this helps
Solve for x: 8x - 3 = 5(2x + 1)
Answer:
x = - 4
Step-by-step explanation:
Given
8x - 3 = 5(2x + 1) ← distribute
8x - 3 = 10x + 5 ( subtract 10x from both sides )
- 2x - 3 = 5 ( add 3 to both sides )
- 2x = 8 ( divide both sides by - 2 )
x = - 4
Answer:
x = - 4
Step-by-step explanation:
8x - 3 = 5(2x + 1)
8x - 3 = 5 × 2x + 5 × 1
8x - 3 = 10x + 5
8x - 10x = 3 + 5
- 2x = 8
2x = - 8
x = (- 8)/2
x = - 4
Thus, The value of x is -4
-TheUnknownScientist
Linden Middle School has 480 students. The number of students is increasing by 5% next year
How many students will there be? (Please do step by step)
Answer:
Please do step by step)
hope I gave
Amanda has four plastic shapes, a circle, a square, a triangle, and a pentagon, In how many ways can she lineup the four shapes if the circle cannot be next to the square
Do NOT have an explanation that isn't just writing all the combinations of shapes.
====================================================
Explanation:
Let's say we have the following code names for each shape
C = circleS = squareT = triangleP = pentagonWe have 4! = 4*3*2*1 = 24 ways to arrange them without any restrictions
Some permutations have C and S together, while others do not.
Example of them together: CSTP
Example of them separated: CTSP
--------------------------
Let's say Amanda used a rubberband or glue to connect the circle to the square. This way the two shapes would always be together. They combine to form a new shape of sorts.
Let's call this new shape "polygon" and define it as
L = polygon
The codename L is just a placeholder for CS or SC.
So instead of the set of these codenames {C,S,T,P}, we have this reduced set {L,T,P}
No matter how we arrange the items in {L,T,P}, the circle and square are always going to be together. Again, anywhere you see an L, you replace it with CS or SC.
--------------------------
There are 3 letters in {L,T,P} so there are 3! = 3*2*1 = 6 ways to arrange those 3 letters. There are 2 ways to arrange S and C within any of those 6 arrangements mentioned earlier.
So there are 2*6 = 12 different ways to arrange the four shapes such that S and C are together somehow.
Recall earlier we found 24 ways total to arrange the shapes without restriction. This must mean there are 24 - 12 = 12 permutations such that S and C are not together. This is the final answer we're after.
A friend told Sandy that absolute value makes everything positive so Sandy wrote the equation |x-6|=5 as x+6=5. Do you agree with the statement, or with what Sandy did to the equation? Explain your answer.
Which graph can be used to solve the equation 2^x-1=x+2?
Answer:
Bottom Left
Step-by-step explanation:
I found the graph. All you needed to do was switch the red and blue line. I put a screenshot of the correct answer on I-Ready as well as the graph I had found.
The system of equations needed to solve the given equations is . Thus, the correct graph is the top-right graph. Its plotted below.
How to find the system of equations needed to solve an equation?An equation usually consists of equality of two mathematical expressions. Let it be [tex]A = B[/tex]. If we take them to be equal to third variable, then:
[tex]A = B = C[/tex] type of equation is obtained.
We can then take it as system of two equations as:
[tex]A = C\\B = C[/tex]
Solution to this system will give us the solution to the considered equation
For a solution to be solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs.
For the given case, we are given that:
[tex]2^x-1=x+2[/tex]
Taking these two mathematical expression equal to 'y', we get:
[tex]2^x-1=x+2 = y[/tex]
or
[tex]y = 2^x - 1\\and\\y= x+2[/tex]
Plotting these two functions on the X-Y plane, the common point of these curves is the common value which can satisfy both the equations simultaneously, and thus, being the solution to the considered system of equations.
Thus, the solutions are those two points that are intersections of those two curves.
Learn more about solution of a system of an equation here:
https://brainly.com/question/13722693
What’s the answer to this radical function
Step-by-step explanation:
We have,
[tex]f(x) = - 2 \sqrt[3]{x + 7} [/tex]
Taking limit,
[tex] \lim _{x \rarr \infty } f(x) \\ = \lim _{x \rarr \infty } - 2 \sqrt[3]{x + 7} [/tex]
If x approaches to positive infinity,
this implies f(x) approaches to negative infinity
If a +2<b+3 then ____.
a-b<1
a<b+1
a<b
b<a
Answer:
a<b+1
Step-by-step explanation:
a +2<b+3
a<b+3-2
a<b+1
Answer: a - b < 1 or a < b + 1
a + 2 < b + 3
⇔ a - b < 3 - 2
⇔ a - b < 1
Step-by-step explanation:
Which equations are perpendicular to the line that passes through (2,1) and (3,4)
Group of answer choices
y=3x+5
y=3x+9
y=(-1/3)x+6
y=(-1/3)x+10
y=(1/3)x+4
y=(1/3)x+6
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Answer:
y=(-1/3)x+6y=(-1/3)x+10Step-by-step explanation:
The slope of the given line can be found from the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (4 -1)/(3 -2) = 3/1 = 3
The slope of the perpendicular line is the opposite reciprocal of this:
perpendicular slope = -1/m = -1/3
__
Choices (c) and (d) have x-coefficients that are -1/3. Those are the perpendicular lines.
y=(-1/3)x+6y=(-1/3)x+10pls help me with the math test will give the first person who answers brainliest answers and points
write the expression for 100 less than the sum of 3 and x
Answer:
3 + x < 100
3 + x - 3 < 100 - 3
x < 97
Step-by-step explanation: