4. Suppose you have $75.00 to spend on gas for
your whole trip. You know that gas costs $2.70 per
gallon.
(4a) How many gallons of gas can you buy with the
money you have?
Round your answer to the nearest tenth of a gallon
You can buy gallons of gas.
(4b) If you know that you can drive 210 miles with
that much gas, how many miles per gallon does
your bus get?
Round your answer to the nearest tenth of a mile.
The bus gets
miles per gallon
.
Elliot makes and sells key chains. His profit depends on what price he charges for a key chain. He writes the expression (1 - 10) (60 - 3x) to represent his profit based on the price per key chain, I. Profit (S) 40+ 20+ Use the drop-down menus to complete the statements about Elliot's profit.
Using the vertex of the quadratic function, it is found that his maximum profit is of $75 when he charges $15 for a key-chain.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]
Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, the function is:
[tex]f(x) = (x - 10)(60 - 3x)[/tex]
In standard format, it is given by:
[tex]f(x) = -3x^2 + 90x - 600[/tex]
Which means that it's coefficients are a = -3, b = 90, c = -600.
Hence:
[tex]x_v = -\frac{90}{2(-3)} = 15[/tex]
[tex]y_v = -\frac{90^2 - 4(-3)(-600)}{4(-3)} = 75[/tex]
Hence, his maximum profit is of $75 when he charges $15 for a key-chain.
More can be learned about the vertex of a quadratic function at https://brainly.com/question/24737967
Find the missing information for both parts
Answer:
hard,sorry I can't answer the question don't be angry at me I beg you
Ashley has b decks of cards. Each deck has 52 cards in it. Using b, write an expression for the total number of cards Ashley has.
Answer:
b*52
Step-by-step explanation:
A bowl contains a total of 36 blue and red marbles. There are twice as many red marbles
as blue marbles. How many blue marbles are in the bowl?
Which of these let statements should you use?
Answer:
There are 12 red marbles
1.
X> -3
6x+4y< -8
2.
Y< 3
2x - 3y < -3
Please help me find the answers To these two equations
Answer:
see attachments
Step-by-step explanation:
The solutions to the two systems of inequalities are probably best represented on a graph. In each case, the boundary line of the solution area will be dashed, indicating the values on the line are not part of the solution. The doubly-shaded area is the solution space.
1.see the first attachment
x=-3 is a vertical line; 6x +4y < -8 has x-intercept -4/3 and y-intercept -2. The slope of the line is -3/2.
__
2.see the second attachment
y = 3 is a horizontal line; 2x -3y < -3 has x-intercept -3/2 and y-intercept 1. The slope of the line is 2/3.
Hi can someone help me with this please
Answer:
Look at explanation.
Step-by-step explanation:
10*10 = 100
25 = 100/4
7*3+3=25-1
21+3=25-1
24=24
6*3=16/2
18 is not equal to 8
27 - 20 = 9-2
7 = 7.
Answer:
(a) False
(b) True
(c) True
(d) Tue
(e) False
(f) True
Step-by-step explanation:
[tex]\large \boldsymbol{\sf (a)\ 15 + 5 = 30}[/tex]
[tex]\large \boxed{\begin{minipage}{2.2 cm}\begin{aligned}\sf 15 + 5 & = \sf 30\\\sf 20 & = \sf 30\end{aligned}\\\\\implies \textsf{False}\end{minipage}}[/tex]
..................................................................................................................................................
[tex]\large \boldsymbol{\sf (b)\ 5 (7) - 3 = 32}[/tex]
[tex]\large \boxed{\begin{minipage}{2.48 cm}\begin{aligned}\sf 5 (7) - 3 & = \sf 32\\\sf 35 - 3 & = \sf 32\\\sf 32 & = \sf 32\end{aligned}\\\\\implies \textsf{True}\end{minipage}}[/tex]
..................................................................................................................................................
[tex]\large \boldsymbol{\sf (c)\ 25 = \dfrac{10^2}{4}}[/tex]
[tex]\large \boxed{\begin{minipage}{1.8 cm}\begin{aligned}\sf 25 & = \sf \dfrac{10^2}{4}\\\sf 25 & = \sf \dfrac{100}{4}\\\sf 25 & = \sf 25\end{aligned} \\\\\implies \textsf{True}\end{minipage}}[/tex]
..................................................................................................................................................
[tex]\large \boldsymbol{\sf (d)\ 7 (3) + 3 = 5^{2} - 1}[/tex]
[tex]\large \boxed{\begin{minipage}{3.2 cm}\begin{aligned}\sf 7 (3) + 3 & = \sf 5^2 - 1\\\sf 21 + 3 & = \sf 25 - 1\\\sf 24 & = \sf 24\end{aligned}\\\\\implies \textsf{True}\end{minipage}}[/tex]
..................................................................................................................................................
[tex]\large \boldsymbol{\sf (e)\ 6 (11 - 8) = \dfrac{16}{2}}[/tex]
[tex]\large \boxed{\begin{minipage}{2.8 cm}\begin{aligned}\sf 6 (11 - 8) & = \sf \dfrac{16}{2}\\\sf 6 (3) & = \sf 8\\\sf 18 & = \sf 8\end{aligned}\\\\\implies \textsf{False}\end{minipage}}[/tex]
..................................................................................................................................................
[tex]\large \boldsymbol{\sf (f)\ 3^{3} - 4(5) = |-9| - 2}[/tex]
[tex]\large \boxed{\begin{minipage}{3.88 cm}\begin{aligned}\sf 3^3 - 4 (5) & = \sf |-9| - 2\\\sf 27 - 20 & = \sf 9 - 2\\\sf 7 & = \sf 7\end{aligned}\\\\\implies \textsf{True}\end{minipage}}[/tex]
What’s the answer for these 2 questions?
1)
[tex]\displaystyle\\\frac{1}{3} ;\frac{1\times2}{3\times2} =\frac{2}{6} ;\frac{4}{12} \\\\\frac{2\div2}{4\div2} =\frac{1}{2} ;\frac{2}{4} ;\frac{2\times2}{4\times2} =\frac{4}{8}[/tex]
2)
[tex]\displaystyle\\\frac{1}{12} ;\frac{1\times2}{12\times2} =\frac{2}{24} ;\frac{3}{36} \\\\\frac{2\div2}{12\div2} =\frac{1}{6} ;\frac{2}{12};\frac{1\times3}{6\times3} =\frac{3}{18} \\\\\frac{1}{4} ;\frac{1\times2}{4\times2}=\frac{2}{8} ;\frac{3}{12}[/tex]
Raquel wants to buy a cellphone that costs ₱ 4,998.50. She has ₱ 3,536.75 now. How much more money does she need to buy the cellphone?
Answer:
P 1461.75
Step-by-step explanation:
To find how much she needs, you need to find the difference between the 2 numbers.
4998.50 - 3536.75 = 1461.75
Hope this helps
this is math please help me asap
[tex] \\ \\ [/tex]
To find:-Area of circle[tex] \\ \\ [/tex]
Let :Area of circle be A.[tex] \\ \\ [/tex]
We know:
[tex] \\ [/tex]
[tex] \bigstar \boxed{ \rm Area \: of \: circle \: = \pi {r}^{2} }[/tex]
[tex] \\ \\ [/tex]
So:-
[tex] \dashrightarrow\sf A= \pi {r}^{2} [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf A=\pi \times {8}^{2} [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf A= \pi \times 8 \times 8[/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf A= \pi \times 64[/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf A= 64\pi \: ft {}^{2} [/tex]
[tex] \\ \\ [/tex]
Therefore option A is correct
know more:-[tex]\small\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\begin {array}{cc}\\ \dag\quad \Large\underline{\bf \small{Formulas\:of\:Areas:-}}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Base\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}d\sqrt {4a^2-d^2}\\ \\ \star\sf Parallelogram =Base\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {array}}\end{gathered}\end{gathered}\end{gathered}[/tex]
The outdoor temperature was 0º at midnight. The temperature went down 3º each hour for the next 4 hours. What was the temperature at 4 A.M.?
Answer:
-12
Step-by-step explanation:
Just do -3 times 4 which gives you -12
Y'all help a bestie out
Answer:
A is your answer because you would need divide 117 by 6 then add 6.95 to each appetizer to get 26.45.
Monica had some money. She gave half to her brother and spent half of what she had left. Then she lost 25 cents and only had 50 cents left. How much money did she have at first?
Monica originally had $1.50
Data;
Let x represent the initial amount she hadWord ProblemTo solve this, we have to write the word problem in an equation which we can solve.
Assuming she had x amount of money and she gave half to her brother, we can write an equation for that
[tex]x - \frac{x}{2} = x- 0.5x[/tex]
But she also lost 25 cents and she have 50 cents left, let's put this in an equation.
[tex]x-0.5x-0.25 = 0.50[/tex]
let's collect like terms and solve for x
[tex]x-0.5x-0.25=0.50\\0.5x=0.5+0.25\\0.5x= 0.75\\\frac{0.5x}{0.5} =\frac{0.75}{0.5}\\ x = 1.5[/tex]
From the calculations above, Monica originally had $1.50
Learn more on word problems here;
https://brainly.com/question/21405634
this is about slope please I need help
Answer:
slope = - 3
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 1) and (x₂, y₂ ) = (- 1, - 5) ← 2 points on the line
m = [tex]\frac{-5-1}{-1-(-3)}[/tex] = [tex]\frac{-6}{-1+3}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3
The distance between Madrid and Buenos Aires is 10 050 km. Diego’s flight takes 12 hours 30 minutes. Calculate the average speed, in km/h, for the flight
I need help with my math work
Answer:
answer is 6 for x
Step-by-step explanation:
Abigail has lovely, lustrous black hair that is 32 inches long. She asks the hairdresser to cut off 4 of the total length of her hair. How many inches does the hairdresser cut?
please help and this is not high school math this is fifth grade math. Also please show the steps as to how you got the answer ... will give the brainliest answer.
Answer:
if i read the question correctly the hairdresser cuts off 4 inches
Step-by-step explanation:
32 inches is the total length of her hair
so 4 inches off the total length means 32 - 4 which is 28 inches
so the hairdresser cuts off 4 inches and now she has 28 inches of hair left
The barber cut 4 inches of hair out of 32 inches of hair.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Abigail has lovely, lustrous black hair that is 32 inches long. She asks the hairdresser to cut off 4 of the total length of her hair.
So barber cut the 4-inch out of 32 inch
Thus, the barber cut 4 inches of hair out of the 32 inches of hair.
Learn more about arithmetic here:
https://brainly.com/question/11424589
#SPJ5
Drag the ruler or protractor over a segment or an angle to get its measure. Check each pair of corresponding sides and each pair of corresponding angles for equal measures. If each pair is equal in measure, the triangles are congruent. If any one of the measures of a pair is not equal, the triangles are not congruent. Are these triangles congruent?.
The (S, S, S) condition is fulfilled. The ΔABC and ΔEFG are congruent to each other. Then the correct option is A.
What is the triangle?Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
We can measure the dimension of the triangle with the help of a ruler and protector.
In triangles, ΔABC and ΔGEF.
The side of AB is equal to EF, the side BC is equal to FG, and the side AC is equal to GE.
Since the (S, S, S) condition is fulfilled.
Thus, the ΔABC and ΔEFG are congruent to each other. Then the correct option is A.
More about the triangle link is given below.
https://brainly.com/question/25813512
Answer:
The answer is D.
Step-by-step explanation:
find the value of y in the following image
Answer:
"y" would be 120 degrees. The image is a parallelogram.
Step-by-step explanation:
which is not a solution of 3x-5<17?
-4
5
7
12
Step-by-step explanation:
Substitute -4, 5, 7, 12 into the inequality then solve:
[tex]3( - 4) - 5 < 17[/tex]
[tex] - 17 < 17[/tex]
Is a solution.
[tex]3( 5) - 5 < 17[/tex]
[tex]10 < 17[/tex]
Is a solution.
[tex]3(7) - 5 < 17[/tex]
[tex]16 < 17[/tex]
Is a solution.
[tex]3( 12) - 5 < 17[/tex]
[tex]31 < 17[/tex]
Is not a solution.
12 is not a solution.
A drum of oil has a height of 4 feet and a radius of 1. 2 feet. The oil cost $22 per cubic feet. What is the cost to fill the drum of oil? Use 3. 14 for pi. Round only your final answer to the nearest penny. Enter your answer in the box. $.
The volume of the oil is 18.0864 that is filled at a rate of $22 then the cost to fill the drum of oil is $397.9.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
What is a cylinder?A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.
Given
A drum of oil has a height of 4 feet and a radius of 1.2 feet.
The oil costs $22 per cubic foot.
We know the volume of the cylinder
[tex]\rm Volume = \pi r^2h\\\\Volume = \pi *1.2^2 * 4\\\\Volume = 3.14 *1.44*4\\\\Volume = 18.0864[/tex]
The cost to fill the drum of oil will be
cost to fill the drum of oil = 22 x 18.0864
cost to fill the drum of oil = 397.9
Thus, The cost to fill the drum of oil is $397.9.
More about the geometry and cylinder link is given below.
https://brainly.com/question/88625
What is the value of x? (5 points)
A right angle is shown divided into two parts. The measure of one part of the right angle is 30 degrees. The measure of the other part is 4x
15
30
45
60
Answer:
15°
Step-by-step explanation:
Hi there bud,
A right angle is 90° as you might know. So with the given information we have the angle divided into 2 parts.
1st part value : 30°
2nd part value : 4x
so we have to find the value of 4x
=== 30 + 4x = 90
moving 30 to the rhs we get
4x=60
x==60/4
x = 15°
Please mark me as brainliest if you found this helpful. Good day ahead.
Best wishes,
Dan
What is the decimal equivalent of 4 2/5 with solution
Answer:
4.4
Step-by-step explanation:
[tex]4\frac{2}{5} \\\\\frac{22}{5} \\\\4.4[/tex]
what is the mean? No working out needed, just an honest answer please.
Answer:
2.333333..... (2.3 repeating)
A student drew the following model to represent the expression 4(2x +3) Which model and expression are equivalent to 4(2x + 3)
Answer:
8x + 12
Step-by-step explanation:
4 x 2x = 8x
4 x 3 = 12
Is 5 the best estimate for 4.8 divided by 0.9 why
Answer:
Yes?
Step-by-step explanation:
It does depend, though 4.8/0.9 is 5.3 repeating, and you can't write that out so yes 5 is best, though it depends.
lee has 10$ in a savings account the interest rate is 5% compounded annually to the nearest cent how much will he have in 3 years?
Answer:
Step-by-step explanation:
Put This into Slope-Intercept Form
x+y=–2
Answer:
y = -x - 2
Step-by-step explanation:
slope intercept form is y = mx+b where y = 1
so subtract x from each side. y = -x -2 and there is your answer
Answer:
y=mx+b.y=-x+2
Step-by-step explanation:
I'm pretty sure that's right lmk
Axel planted 15 rose bushes, 12 geranium shrubs,and 6 daisy flowers.His dog digs up four rose bushes and half of the daisies. How many plants are left.
Answer:
There are 26 plants left
Step-by-step explanation:
His dog dug up four rose
15 - 4 = 11
- and half the daisies
6 / 2 = 3
11 + 12 + 3 = 26 plants left
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
What is the value of ||< 10,-4 >|| (answer should be accurate to 3 decimal places)
Answer:
a) 984.6080 = 984.61 to 2 decimal places
b) 984.6080 = 984.6 to 4 significant figures
c) 984.6080 = 984.608 to 3 decimal places
d) 984.6080 = 984.61 to the nearest h
Step-by-step explanation: