Answer:
(A) F(10) = 30, F(15) = 45
(B) x = 3
Step-by-step explanation:
According to the scenario, calculation of given data are as follows,
Charge for 1 gallon = $3
Amount of gasoline purchased = x
and x gallons cost = f(x)
So, cost for 1 gallon = f(x) ÷ x = 3
or f(x) = 3x
(A). So, for F(10)
Put value of F as 3, then
F(10) = 3 × 10 = 30
Similarly, for f(15) = 3 × 15 = 45
(B) f(x) = 21
we can put the value of f as 3, and then find the value of x,
3 (x) = 21
x = 21 ÷ 3
x = 7
eduardo baked 150 muffins 1/5 of the muffins are banana 1/2 of the muffins are blueberry the rest are strawberry, how many muffins are strawberry
Answer:
45 strawberry muffins
Step-by-step explanation:
In order to solve this equation you are going to have to multiply 150 by 1/5 bananas and 1/2 blueberry in order to get how much strawberry muffins were made. So first we are going to convert 1/5 and 1/2 into decimals:
1/5 = 0.2
1/2 = 0.5
Now we are going to multiply 0.2 and 0.5 by 150 in order to figure out how much banana and Blueberry muffins were made:
0.2 * 150 = 30
0.5 * 150 = 75
So 30 banana muffins were made and 75 blueberry muffins were made, now that we know this we are going to add 30 and 75 together and subtract the answer from 150. THe reason we are subtracting 75 + 30 from 150 is because we are trying to segregate the strawberry muffins from the total number:
75 + 30 = 105
now we subtract:
150 - 105 = 45
So the number of strawberry muffins made was 45.
I hope this helps.
Answer:
The total number of strawberry muffins are: 45
Step-by-step explanation:
Total baked muffins = 150
1/5 of the muffins are banana, so
Banana muffins = 1/5 × 150
= 30
1/2 of the muffins are blueberry, so
Blueberry muffins = 1/2 × 150
= 75
The rest are strawberry, so
Strawberry muffins = Total muffins - Banana muffins - Blueberry muffins
= 150 - 30 - 75
= 45
Therefore, the total number of strawberry muffins are: 45
Need help ASAP giving 25 points
Answer:
63in. 2
Step-by-step explanation:
Find the slope of the table.
plase help i don’t need to show work just the answer
Answer:
the slope is: -2/3
Answer: -2/3
Step-by-step explanation:
Simplify 4 + (30 + 2) Justify your steps
Answer:
The answer is 36
Step-by-step explanation:
1) Add 30 + 2 and get 32
2) Then you just add 32+4 and get 36
Differentiate the function with respect to x
f(x)=( x^4 +1)(-x^2 +5)
SHOW ALL WORK!!
Answer: -x^6+5x^4-x^2+5
x^4×-x^2= -x^6
x^4×5= 5x^4
1×-x^2=-x^2
1×5=5
-x^6+5x^4-x^2+5
I hope this helps:
What is the coefficient of q in the sum of these two expressions?
(2/3q –3/4) and (–1/6q – r)
Answer:
The first one: (2/3q –3/4) answer: =2/3q+−3/4
The second one: (–1/6q – r) answer:
Let's simplify step-by-step.
−1/6q−r
There are no like terms.
Answer:=−1/6q−r
Step-by-step explanation: Hope this help
What's the largest perfect square that goes into 72?
Answer:
64
Step-by-step explanation:
8² = 64
9² = 81 ( doesn't fit into 72)
Solve the system by substitution 3x + 2y = 2
y = X-4
Answer:
(2, -2)
Step-by-step explanation:
x = 2
y = -2
How many unique triangles can be formed with two side lengths of 10 centimeters and one 40° angle?
Answer:
Two unique triangles possibleStep-by-step explanation:
Given two sides of 10 cm and one 40° angle
If we use these, we'll get isosceles triangle with:
1. Included 40° angle.
Then the other angles will be same and measure:
(180° - 40°)/2 = 70°2. Adjacent 40° angle. Then one of the angles must be 40° angle as opposite of 10 cm sides.
The remaining angle will measure:
180° - 2*40° = 100°There no more unique triangles possible, so the answer is two.
Translate this verbal expression into an algebraic equation and solve: thirteen less than twice the sum of a number and six is 47.
you must also give the equation.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the verbal expression
''Thirteen less than twice the sum of a number and six is 47''.
Let us break down the verbal expression into an algebraic equation
Let the number be = nTwice the number n = 2nSum of twice the number and six = 2n+6Thirteen less than twice the sum of a number and six = 2n+6-13And finally
Thirteen less than twice the sum of a number and six is 47:
2n+6-13 = 47
Therefore, the equation is:[tex]2n+6-13 = 47[/tex]
Solving the algebraic expression
solving the equation for 'n'
[tex]2n+6-13 = 47[/tex]
[tex]2n-7=47[/tex]
Add 7 to both sides
[tex]2n-7+7=47+7[/tex]
Simplify
[tex]2n=54[/tex]
Divide both sides by 2
[tex]\frac{2n}{2}=\frac{54}{2}[/tex]
Simplify
[tex]n=27[/tex]
If the sales tax rate in New York State was 7.375% then how much tax would you pay for a $54 pair of pants
Answer:
$3.98
Step-by-step explanation:
HELP ME PLS
Solve x-3y-6=0
What is the total cost or sale price to the nearest cent? $50 tool set; 10% markup.
$5
$40
$45
$55
x + 6.2 10.9 can you solve it plz i need can you explain ste by step and not to long plz
What’s the meaning of pi and how to find the cylinder of a cylinder. ( JUST DO NUMBER 1)
Which expression does the graphic represent?
Answer:8-1
Step-by-step explanation:If you have eight dollars and you spend one you are 1 dollar short
100 POINNTTSSThe following box plot shows the class scores on a particular math test:
box plot with number line titled percent with 40 as the minimum, 70 as quartile 1, 80 as the median, 95 as quartile 3, and 100 as the maximum
Which of the following data sets is represented in the box plot?
{40, 55, 55, 85, 85, 100}
{0, 40, 70, 80, 95, 100}
{70, 70, 75, 80, 85, 95}
{40, 70, 70, 80, 80, 95, 95, 100}
Answer: are you in the algerbra in flvs ? lol just wondering
Step-by-step explanation:
it would be the last option or
(40, 70, 70, 80, 80, 95, 95, 100)
have a great day :)
The following data sets are represented in the box plot
(40, 70, 70, 80, 80, 95, 95, 100)
We have given that,
the class scores on a particular math test box plot with a number line titled percent with 40 as the minimum, 70 as quartile 1, 80 as the median, 95 as quartile 3, and 100 as the maximum
What is the box plot?A boxplot is a graph that gives you a good indication of how the values in the data are spread out.
The following data sets are represented in the box plot
(40, 70, 70, 80, 80, 95, 95, 100).
To learn more about the box plot visit:
https://brainly.com/question/14277132
#SPJ5
I open a saving account with $200 and plan to put $50 per month in the account.
Which expression represents this situation after m number of months?
200 + m + 50
50m +200
200m + 50
Answer:
50m + 200
Step-by-step explanation:
50 times month(s) + starting value
I'll mark brainliest please answer.
Answer:
Working with proportional relationships allows one to solve many real-life problems such as adjusting a recipe, quantifying chance (odds and probability), scaling a diagram (drafting and architecture), and finding percent increase or percent decrease (price markup, discount, and tips).
Step-by-step explanation:
sorry but I don't know the answer
PLEASE ANSWER ASAP I'LL GIVE BRAINLIEST
Drag the tiles to the boxes to form correct pairs. Match each pair of lines to the correct description.
Please help me!!!!!!
Graph the system of linear inequalities.
y > x + 2
y ≥ x − 2
Answer:
Step-by-step explanation:
y > x + 2 is the one that is right at 2 at like the top
Consider the linear equation y = 2x - 4. Write an equation in slope-
intercept form for a line parallel to the given line through (-1,6).
Consider angle θ in Quadrant ll, where cos θ= -12/13. what's the value of sin θ
Answer:
sinθ = 5/13
Step-by-step explanation:
cosθ = adjacent/hypotenuse (or you could think of it as x/r)
cosθ = -12/13
adjacent = -12
hypotenuse = 13
opposite = ?
To get the opposite, we use the Pythagorean theorem
[tex]hypotenuse^{2} = adjacent^{2} + opposite^2[/tex]
[tex]hypotenuse^{2} - adjacent^{2} = opposite^2[/tex]
[tex]\sqrt(hypotenuse^{2} - adjacent^{2}) = opposite[/tex]
Now sub in the numbers:
[tex]\sqrt{(13^2 - (-12)^2)} = opposite[/tex]
opposite = 5
Now sinθ = opposite/hypotenuse
so sinθ = 5/13
Please tell me the answer
One morning,Annie stood straight in her yard and cast a 3-foot shadow on the level ground.If the top of Annie's head is 5 feet from the tip of her shadow,how tall is Annie?
Answers:
A:3.5 ft
B:5 ft
C:4 ft
D:4.5 ft
please help me I will give you the brainiest ️
Answer:
Uhh, I think the answer is b?
Step-by-step explanation:
if you look at the area d, it's kind of the same as 18 mm but it isn't. It's a few inches off the same inch as 18 mm, so it MIGHT be b.
(I MIGHT BE WRONG, IF I AM, I AM SORRY. I'M NOT THAT SMART, SO EXPECT SOME WRONG ANSWERS OR NOT.)
A roll of nickels is worth $2.00. Write and solve an equation to determine the number of nickels in a roll.
(NEED TO SHOW WORK)
Answer:
Being that every nickel is worth 5 cents you would set the equation up as 17 * $0.10 = $1.70
Step-by-step explanation:
Basketball shoes: $77.85 Tax Rate: 7.75% What is the final price of the product after a tax is applied.
Answer:
It would be $83.88
Answer:
$83.88
Step-by-step explanation:
77.85 x .0775 = 6.03
77.85 + 6.03 = 83.88
Solve for G MUST SHOW WORK
3 = g/-4 - 5
Answer:
g=-32
Step-by-step explanation:
Switch sides
g/-4 -5 = 3
Add 5 to both sides
g/-4 -5+5=3+5
Simplify
g/-4 = 8
Multiply both sides -4
g(-4)/-4 = 8(-4)
Simplify
g=-32
