Answer:
the price per gallon for each drink is $4.5 and $4.75 respectively
Step-by-step explanation:
The computation of the price per gallon for each drink is as follows;
Let us assume the ice tea be x
And, lemonade be y
So the equations are
2x + 3y = $23.25 .......(i)
5x + 4y = $41.50 ................(ii)
Now multiplied by 5 and 2 in equation 1 and 2
10x + 15y = $116.25
10x + 8y = $83
7y = 33.25
y = $4.75
Now put the y value in any of the equation
2x + 3($4.75) = $23.25
x = $4.5
So, the price per gallon for each drink is $4.5 and $4.75 respectively
Find The Quotient of 5/6÷ (-13/7)
5/6÷(-13/7)=5/6.
Answer:
- 35/78Step-by-step explanation:
The quotient of
5/6÷ (-13/7) =5/6×(-7/13) =- 35/78what is the the constant of proportionality
X: 0 2 4 6
Y: 0 3 6 9
An architect draws a plan for a wheelchair ramp on the plan, the ramp is 2cm high and 24cm long what might the dimensions of the actual ramp be (use equivalent ratios)
Answer:
[tex]Height = 30cm[/tex]
[tex]Length = 360cm[/tex]
Step-by-step explanation:
Given
Scale Measurement
[tex]Height = 2cm[/tex]
[tex]Length = 24cm[/tex]
Required
Determine the possible actual measurement
First, calculate the equivalent ratio.
[tex]Ratio = \frac{Length}{Height}[/tex]
[tex]Ratio = \frac{24cm}{2cm}[/tex]
[tex]Ratio = 12[/tex]
To do this, we pick a scale factor.
Assume the scale factor is 15.
The actual measurement will be:
[tex]Height = 2cm * 15[/tex]
[tex]Height = 30cm[/tex]
[tex]Length = 24cm * 15[/tex]
[tex]Length = 360cm[/tex]
When the scale ratio is calculated, we have:
[tex]Ratio = \frac{Length}{Height}[/tex]
[tex]Ratio = \frac{360cm}{30cm}[/tex]
[tex]Ratio = 12[/tex]
Note that both have the same equivalent ratios of 12.
So, whatever the scale ratio you use, the equivalent ratio will be the same
Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.
Answer:
70 i am 100 percent sure
Step-by-step explanation:
1:10
7 70
Jerry has a garden that has a length of 30 feet and a width of 10 feet. Fertilizer is on sale for $2 per bottle. If each bottle covers 25 square feet, how much will it cost to fertilize the whole garden?
Answer: $50
Step-by-step explanation:
30 × 10 = 40 ft² [garden area]
40 ÷ 25 = 1.6
1.6 ≈ 2
For the area of the entire garden, you need to buy two bottles of fertilizer.
25 × 2 = 50 [fertilization cost for the whole garden]
In which diagram are angles 1 and 2 vertical angles?
Mark tried to pour 36 ounces of tea into 3 cups. after filling the cup to the top, there were still 13.5 ounces left in his tea pot. if each cup is the same size how much is in the tea cup? HELP PLEASE!
Answer:
its 12
Step-by-step explanation:
12 oz
Answer:
22.5/3
Step-by-step explanation:
Hey, the idea is to set up an equation that you can solve
36 ounces of tea = 3 cups(some ounces of tea) + 13.5 ounces left
Now just solve for how much tea is in each cup.
36-13.5 = 3(X)
3X = 22.5
x = 22.5/3
i need to know the next sequence in these fractions simplified
Answer:
The sequence is add 3/20
Step-by-step explanation:
does the point (2, 5) lie on the line y = 3x-1
The solution is Yes
The point P ( 2 , 5 ) lies on the equation of line y = 3x - 1
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
y = 3x - 1 be equation (1)
Let the point be represented as P
The coordinates of P is = P ( 2 , 5 )
Substituting the values of x and y in the equation , we get
y = 3x - 1
when x = 2 and y = 5 , we get
5 = 3 ( 2 ) - 1
5 = 6 - 1
5 = 5
Therefore , the solution is true
Hence , the point P ( 2 , 5 ) lies on the equation of line
To learn more about equation of line click :
https://brainly.com/question/14200719
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Is this correct?
:'(
Answer:
I think that's right cus I did this test
Which expressions have a value of 49 when w = 4? Choose the correct answers and show your work.
A) 3w2+ 25
B) 7(w2- 9)
C) w3/8+ 41
Answer:
Step-by-step explanation:
help please this is due in a few minutes!!
transforming quadratic graphs
Answer:
f(x) = 3(x - 2)² + 4
OR
f(x) = 3x² - 12x + 16
Step-by-step explanation:
Vertex form of a parabola:
y = a(x - h)² + kStandard form of a parabola:
y = ax² + bx + cLet's find the vertex of this parabola.
(h, k) → (2, 4)In order to find the a-value (vertex form), let's use another point besides the vertex on the parabola.
Using (3, 7) for (x, y), let's substitute this point and the vertex (2, 4) for (h, k) into the vertex form equation and solve for a.
7 = a[(3) - (2)]² + 4Simplify using PEMDAS.
7 = a(1)² + 47 = a + 4Subtract 4 from both sides.
a = 3Now we have (h, k) and a of the vertex form.
y = a(x - h)² + k → y = 3(x - 2)² + 4In order to convert from vertex to standard form, simplify the equation by FOILing.
y = 3(x - 2)² + 4y = 3(x² - 4x + 4) + 4Distribute 3 inside the parentheses.
y = 3x² - 12x + 12 + 4Combine like terms.
y = 3x² - 12x + 16Therefore, we have the answer:
Vertex form:
f(x) = 3(x - 2)² + 4Standard form:
f(x) = 3x² - 12x + 16Please help me out!
1. there are two methods to solve this system
I.substition
from the first relation we can deduct
2a-b=4
2a=4+b
a=(4+b)/2
now we substitute a in the second relation
(4+b)/2+b=5
we multiply by 2
4+b+2b=10
3b=6
b=6/3=2
a+2=5
a=3
II.reduction
2a-b=4
a+b=5
we can add the two relations together
2a+a-b+b=4+5
3a=9
a=3
3+b=5
b=2
write an expression where h is doubled then increased by 20%
2h*0.2
2h is h doubled
20% becomes 0.2
Describe the relationship between the two quantities. WILL GIVE BRAINLIEST NO JOKE ANSWERS PLEASE..
Answer:
Between the two quantities, the sales have a longer increase rate for dollars than the bicycle has for speed, and the bicycle travel had a good speed rate, but slowed down the increased again.
Step-by-step explanation:
Which statement about the dilation of these triangles is true?
The scale factor is
The scale factor is 2
The scale factor is 3.
The scale factor is 4.
Answer
when 2 triangle scales are similar the ration reduces and become a scale factor
Answer:
The scale factor is 2
Step-by-step explanation:
A similarity transformation consisting of a reflection
and a dilation is performed on a figure, and one point maps to itself. Explain how this can happen.
If the point in question is on the line of reflection, then the point won't move. Any point on a line of reflection stays where it is.
If that same point is the center of dilation, then it also doesn't move. The center of dilation is the only point that doesn't move in a dilation.
So the two conditions are:
The point must be on the line of reflectionThe point must be the center of dilationThese two facts mean that the line of reflection must go through the center of dilation.
help PLEASE!!!?!!!!!!
Answer:
yes
Step-by-step explanation:
Answer:
the answer is b
Step-by-step explanation:
An item is regularly priced at $43. Charmaine bought it at a discount of 95% off the regular price. How much did Charmaine pay?
Answer:
Charmaine paid $2.15
Step-by-step explanation:
So Charmaine only paid for 5% of the regular price
5/100×$43=5×$0.43
=$2.15
Answer:
2.15$
Step-by-step explanation:
95% of 43 is 40.85
43 - 40.85 = 2.15
what is h ( t ) = − t ( 16 t + 7 ) in standard form
PLEASE HELP !!!!
y = 2x - 4
y = 4x - 6
y = 3x - 4
that's what i got
Helppp me faststttttt plzzzzz
Answer:
Step-by-step explanation:
x + 25 + 4x + 10 = 180
5x + 35 = 180
5x = 145
x = 29
<1 = 29 + 25 = 54
<2= 4(29) + 10 = 116 + 10 = 126
How are fractals developed
Answer:
Fractals are infinitely complex patterns that are self-similar across different scales. They are created by repeating a simple process over and over in an ongoing feedback loop. ... Abstract fractals – such as the Mandelbrot Set – can be generated by a computer calculating a simple equation over and over.
Step-by-step explanation:
2/3x+5=21 pls use shoe work
[tex]\frac{2}{3}x+5=21\\\frac{2}{3}x=16\\x=16/2/3\\x=16*3/2\\24[/tex]
A kukura puzzle on my math homework plz help
Answer:
i have no clue ngl but online theres websites that will solve them for you
Step-by-step explanation:
if you want a link lmk lol
Estimate 73,784-32,863 by first rounding each number to the nearest thousand
2x+3y=12 Complete the missing value in the solution to the equation. (_,8) I NEED HELP QUICK
Answer:
-6 is the missing value.....
Answer:
(-6, 8); the missing value is -6
Step-by-step explanation:
First, you need to solve the given equation for x
1: 2x + 3y = 12 (Given)
2: 2x = -3y + 12 (Subtract 3y from both sides to isolate x)
3: x = -1.5y + 6 (Divide both sides by 2)
Now, you can solve for the missing x in the solution set (x, 8):
where x = -1.5y + 6 and y = 8,
x = -1.5(8) + 6
x = -12 + 6
x = -6
So, the missing value is -6
Jacob makes a scale drawing for a crate with a scale factor of 1:20 the dimitions of his scale drawing is 3 in long and 2 in wide the bulder creates a scale drawing of the crate with the scale factor of 1:10. What are the dimitions of the builders drawing?
Answer:
6 in long ; 4 in wide
Step-by-step explanation:
With a scale of 1:20
Scaled drawing is 3 in long ; 2 in wide
Actual dimension :
Length = 20 * 3 = 60 in
Width = 20 * 2 = 40 in
Hence, to make a scaled drawing using 1 :10
Dimension :
Length = (1/10) * 60 = 6 inches
Width = (1/10) * 40 = 4 inches
Solve for the variableeeeee plzzz
Answer: x= -7
Explanation for answer:
Answer:
x = -7
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other.
First, add 2x and subtract 18 from both sides:
5x - x + 18 (-18) (+2x) = 6 - 2x (+2x) - 30 (-18)
5x - x + 2x = 6 - 30 - 18
Next, simplify. Combine like terms:
(5x - x) + 2x = 6 + (-30 - 18)
(4x) + 2x = 6 + (-48)
6x = -42
Next, fully isolate the variable, x, by dividing 6 from both sides:
(6x)/6 = (-42)/6
x = -42/6 = -7
x = -7 is your answer.
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i need to identify the slope and the y-intercept of the line with a given equation, the given equation is y = 1/2x +5 . i need to graph it aswell.
Answer:
y-intercept: 5
slope: 1/2
Step-by-step explanation:
The equation y=1/2x+5 is an example of y-intercept form(y=mx+b). This is where b represents the y-intercept and m represents the slope. I will not graph this for you but can explain it.
First plot the y-intercept on the graph. (0.5). Then use the slope to find the next point off of the y-intercept. So for example, the next point would be (2,6).
