Answer:
1g=20d so 5g=100d
Step-by-step explanation:
If it is 20 MPG, then, to find it for 5 gallons of gas, we have to multiply 20 by it. So, we have to do - 20x5
20x5=100
So hence, Yolanda drives 100 miles on the highway using 5 gallons of gas.
Thanks!
A movie theater offers a reward program that charges a yearly membership fee and a discounted rate per movie ticket. The total cost for a reward program member to see 5 movies is $40 and the total cost for 12 movies is $75. Assume the relationship is linear. Write the equation of the function in the form y=mx+b , where x represents the number of movies and y represents the total cost.
Hint: Treat this information like ordered pairs. (5, 40) and (12, 75)
Answer:
[tex]y=5x+15[/tex]
Step-by-step explanation:
Since this situation is a linear relationship between the number of movies and the total cost, we need to determine the slope of the line given our two ordered pairs [tex](x_1,y_1)\rightarrow(5,40)[/tex] and [tex](x_2,y_2)\rightarrow(12,75)[/tex]:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\ \\m=\frac{75-40}{12-5}\\ \\m=\frac{35}{7}\\ \\m=5[/tex]
Thus, our equation so far is [tex]y=5x+b[/tex]. Next, we need to find our y-intercept, [tex]b[/tex], which represents our flat fee. We do so by using one of our original given ordered pairs:
[tex]y=5x+b\\\\40=5(5)+b\\\\40=25+b\\\\15=b[/tex]
Therefore, our final equation for the function is [tex]y=5x+15[/tex]
Cullen is 5 years younger than Ada. The product of their ages 2 years ago was 39. How old is Ada?
Let f(x)=x^2+6x−16.
Enter the x-intercepts of the quadratic function in the boxes.
[tex]\underline{\underline{\large\bf{Given:-}}}[/tex]
[tex]\red{\leadsto}\:[/tex][tex]\textsf{} [/tex][tex]\sf f(x)= x^2+6x−16 [/tex]
[tex]\underline{\underline{\large\bf{To Find:-}}}[/tex]
[tex]\orange{\leadsto}\:[/tex][tex]\textsf{ x-intercepts of the quadratic function } [/tex][tex]\sf [/tex]
[tex]\\[/tex]
[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]
[tex]\longrightarrow[/tex]x- intercept is the point where graph of given function touches the x-axis,f(x) becomes 0 at the point where graph of given function touches the x-axis. Therefore, we would to solve x^2+6x−16=0 and find its root.
[tex]\begin{gathered}\\\implies\quad \sf x^2+6x−16=0 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf x^2+8x-2x −16=0 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf x(x+8)-2(x+8)=0 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf (x-2)(x+8)=0\\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf x=2\quad or \quad x=-8 \\\end{gathered} [/tex]
[tex]\leadsto[/tex]x-intercepts of the given quadratic function are 2 and -8 .
To decrease an amount by 46%, multiply by
Answer:
Step-by-step explanation:
Multiply the amount by 0.46 and subtract from the amount.
The difference between amount and 0.46 * amount is the answer.
A parallel line has a y-intercept of 12.
Write down the equation of this line.
Answer:
Using the equation form y = MX + b where a is the slope of the line and b is the y-intercept.
The line that is parallel this the line with equation 5x + y = 11 will have the SAME SLOPE as this line BUT the y-intercept will be -8 (as stated in the problem.)
Rewrite 5x + y = 11 to the standard form to yield the slope of that line.
So 5x + y = 11 becomes y = -5x + 11 where the slope is -5.
So the equation of the line that you want is then...y = -5x - 8. It satisfies both conditions.
Hope this helps!Brainliest pls!AlgebraSHOW ALL WORKGiven the points (6,-4) and (0,4), find the slope, the y-intercept, and the x-intercept of the line that passes through both point. Also, GRAPH this line
Answer:
slope: -4/3y-intercept: (0, 4)x-intercept: (3, 0)y = -4/3x +4Step-by-step explanation:
Given two points, the equation for the line through them can be found using the slope formula and the slope-intercept form.
The slope formula is ...
m = (y2 -y1)/(x2 -x1)
m = (4 -(-4))/(0 -6) = 8/-6 = -4/3 . . . . slope of the line
The y-intercept is 4, given by the second point.
The slope-intercept equation for a line is ...
y = mx +b . . . . . . line with slope m and y-intercept b
y = -4/3x +4 . . . . . line with slope -4/3 and y-intercept 4
__
The x-intercept can be found by solving for x when y=0.
0 = -4/3x +4
0 = 4x -12 . . . . multiply by -3
0 = x -3 . . . . . . divide by 4
3 = x . . . . . . . . subtract 3
The x-intercept is (3, 0).
__
The line can be graphed by plotting the given points and drawing the line through them.
Answer:
Slope: [tex]-\frac{4}{3}[/tex]
Y int. : (0,4)
X int. : (3,0)
Step-by-step explanation:
Equations to remember:
[tex]y = mx + b\\\\\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
--------------------------------------------
[tex](x_{1}, y_{1}) = (6, -4)\\\\(x_{2}, y_{2}) = (0,4)[/tex]
--------------------------------------------
SLOPE
You want to set up your equation for finding slope like this:
[tex]\frac{4 - (-4)}{0 - 6}[/tex]
4 - (-4) will become 4 + 4. This is because there is a -1 in front of the parenthesis.
A negative number times a negative number will always equal a positive number.
[tex]-\frac{8}{6}[/tex]
when simplified/divided by 2, which is the number you want:
[tex]-\frac{4}{3}[/tex]
This is your slope or your m in y = mx + b
---------------------------------------------------------------
Y INTERCEPT
Use one of your points.
I'll use (0,4) as an example.
Set up your equation like this:
[tex]4 = -\frac{4}{3}(0) + b[/tex]
Since your slope is being multiplied by ZERO, you can just eliminate your mx or slope.
This means that 4 = b!
That's your Y Int, which you'll find was one of the given points, (0,4).
---------------------------------------------------------------
From there, if you use a graph, you should find that your X Int is (3,0).
I hope this helped you!
What is the initial value of the exponential function
shown on the graph?
0
1
2
4
Answer:
Option C is correctThe initial value of the exponential function shown on the graph is, 2Step-by-step explanation:A function is a mathematical relation in which we input values of a domain that generate output values of a range. Initial value of a function is the output value of the function when the input value is 0.As shown in the graph: the exponential function cut through the point (0,2) , where y=2 when x=0.therefore, the initial value of the given exponential function shown on the graph is, 2.
Step-by-step explanation:
Pls, choose me as brainliest!
Answer:
c
Step-by-step explanation: because I know trust me ;)
what is the value of X
Find the area of the following shapes
Answer:
Area = 114 m2
Step-by-step explanation:
Area of the Figure = Area of Rectangle ABCD - Area of Rectangle HGFE
Area of the Figure = 12*14 - 9*6 = 168 - 54 = 114
The average cost in China of an imported Volkswagen is the equivalent of $24,000. How much is that in yuan?
Answer:
24 x61=74.000Step-by-step explanation:
if you take it by the first number then you will divide the firsts to the nearest number that applies the first number
The convert rate is $1 = 6.35 yuan.
-> $24000 = 6.35 x 24000 = 152400 yuan (152481.60)
5. Julie has taken 5 tests in science this
semester. On the first three tests, her
mean score was 70%. On the last two
tests, her mean score was 90%. What
is the mean of all five scores?
Answer:
83.333333333
Step-by-step explanation:
add 70+90+90=250/3= 83.3333333
find the value of x I ready
Answer:
the x is not a value yet
Step-by-step explanation:
butt the x is called a variablethe price of a coffee increases to £3.37 by 7%. how much was it for a coffee before the increase?
Answer:
£3.15 (nearest pence)
Step-by-step explanation:
If the price of a coffee has increased by 7% then the final price of the coffee is: 100% + 7% = 107% of the original price.
Therefore, to find the original price of the coffee:
original price ÷ 107 × 100
= 3.37 ÷ 107 × 100
= £3.15 (nearest pence)
Pencils: $3 Sale: 50% off What is the new cost of the pencils?
Answer:
$1.50
Step-by-step explanation:
50% is one half. and one half of $3 is $1.50.
please give brainliest!!
What is Cos(180) ? I started this in precal and need help with it still
Answer:
The value of cos 180 is equal to -1
byjuscom
Simplify the rational
Answer:
x+8 / x-4
Step-by-step explanation:
Factor the top and bottom (numerator and denominator).
Simplify (cancel what's the same on top and bottom)
See image.
Identify a value of k that transforms f into g, where g(x) = f(x) + k.
Answer:
The transformation that maps f into g is a translation transformation,
involving the addition of k to the value of f(x).
The value of k that transforms f into g is; k = -5
Reasons:
Points on the graph of g(x) are; (0, -3) and (0, 1)
The equation of g(x) is; y - (-3) = 4·x, which gives;
y = 4·x - 3
The y-intercept = -3
Points on the graph of f(x) are; (-1 -2) and (0, 2)
The equation of f(x) is; y - (-2) = 4·(x - (-1)), which gives;
y = 4·x + 4 - 2 = 4·x + 2
The y-intercept = 2
The slopes of the graphs of f(x) and g(x) are equal, therefore, f(x) ║ g(x)
The difference or the transformation that takes the y-intercept of f(x) to the
y-intercept of g(x) is; k = y-intercept(g(x)) - y-intercept(f(x)) = -3 - 2 = -5
Therefore, k = -5
Which gives;
g(x) = f(x) - 5
The value of k that transforms f into g is; k = -5
Learn more here:
brainly.com/question/23570234
brainly.com/question/10049947
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
A
Step-by-step explanation:
Converting an improper fraction to a mixed number involves dividing the numerator by the denominator.
17/5 = 3 with remainder of 2
so it will be 3 -2/5
65. Find h if 3(2h-1) = 27(-h+2) A) 7 G D) 0
Answer:
A) 7/5
Step-by-step explanation:
An exponential equation like this can be solved by using logarithms, or by rewriting the bases so they are the same.
3^(2h-1) = 27^(-h+2)
Using 27 = 3^3, we can write the equation in terms of powers of 3:
3^(2h-1) = (3^3)^(-h+2)
3^(2h -1) = 3^(-3h +6)
Equating exponents gives ...
2h -1 = -3h +6
5h = 7 . . . . . . . . . add 1+3h
h = 7/5 . . . . . . . divide by 5
__
Additional comment
When solving this using a graphing calculator, it is often convenient to write the equation in such a way that the solution is an x-intercept. Here, we can do that by subtracting the right-side expression from both sides:
3^(2h-1) -27^(-h+2) = 0
The solution is h = 1.4 = 7/5.
Answer:
step by step explanation:h=7/5
hope this helps!
HELPPPPPPPPPPPP!!!!!!
Answer:
a
Step-by-step explanation:
x+y=7
y=-x+7
so like find the slope and you get brainliest
Answer:
Slope is 8/9
hope this helps!
Rectangle J'K'L'M' shown on the grid is the image of rectangle JKLM after transformation. The same transformation will be applied on trapezoid STUV.
What will be the location of T' in the image trapezoid S'T'U'V'? (1 point)
(18, −2)
(18, 2)
(15, −2)
(15, 2)
Answer: (18,2)
Step-by-step explanation:
Cody used more than 5 times as many beads as his sister to make jewelry. His sister used 40 beads.
Which inequality represents all possible values of c, the number of beads Cody used to make jewelry?
A c < 200
B c > 45
C c < 45
D c > 200
Answer:
d is the answer to the question
Identify the type of the pairs of angles.
∠3 and ∠5
∠1 and ∠8
∠2 and ∠6
∠1 and ∠4
∠4 and ∠5
Answer:
I will need a photo to answer this
Step-by-step explanation:
Kindly, please upload a photo, TQ!
The owners of an eyeglass store claim that they fill customers' orders, on average, in 60 minutes with a standard deviation of 15. 9 minutes. Based on a random sample of 40 orders, a reporter determines a mean order time of 63 minutes. Let µ represent the average number of minutes to fill an order. Z = StartFraction x overbar minus mu Over (StartFraction sigma Over StartRoot n EndRoot EndFraction) EndFraction To the nearest hundredth, the z-statistic is z =.
By applying z-score formula we got that if a reporter determines a mean order time of 63 minutes then value o Z is 1.19
What is standard deviation?Standard deviation is a number used to tell how measurements for a group are spread out from the average (mean), or expected value
Here given that
The owners of an eyeglass store claim that they fill customers' orders, on average, in 60 minutes with a standard deviation of 15. 9 minutes. Based on a random sample of 40 orders, a reporter determines a mean order time of 63 minutes
mean=μ=60
standard deviation=σ=15.9
number of sample=n=40
[tex]\bar{x}=63 \\[/tex]
Now we can calculate z by z-score formula as
[tex]z=\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}} \\\\&=\frac{63-60}{\frac{15 \cdot 9}{40}} \\ \\=\frac{3}{2.5140} \\ \\=1.19\end{aligned}[/tex]
By applying z-score formula we got that if a reporter determines a mean order time of 63 minutes then value o Z is 1.19
To learn more about standard deviation visit :https://brainly.com/question/12402189
Answer:
1.19
Step-by-step explanation:
A circular running track is 1/4 mile long. Elena runs on this track, completing each lap in 1/40 of an hour. What is Elena's running speed? Include the unit of measure.
Answer:
5 miles/ hour please mark brainlist dont have to tho lol
Step-by-step explanation:
Two balloons, Balloon A and Balloon B, have a total volume of 3/5 gallon. Balloon A has a greater volume than Balloon B. The difference of their volumes is 1/5 gallon. What is the volume of each balloon?
Answer:
Balloon A has 2/5 gallons and Balloon B has 1/5.
Step-by-step explanation:
Hope this helps!
If it did, I appreciate you giving me brainiest :)
if not, have a wonderful day!!!
Answer:
not being rude but...
You told us that the volume of both balloons had a volume of 3/5 a gallon now you are saying one of them is has a larger volume than another it just doesn't make sense.
There are 35 squares shaded in a 50 square grid. What percentage of the grid is shaded?
Answer:
70%
Step-by-step explanation:
We can first find the fraction
35/50
We know that percent is out of 100 so multiply the top and bottom by 100
35/50 * 2/2 = 70/100
The percent is 70%
Helppp pleaseeeeeeeee
Answer:
Step-by-step explanation:
I wish I could help you but I’m only in elementary
Answer:
Surface Area = [tex]530yd^2[/tex]
Step-by-step explanation:
*This answer is for the problem on the left that seems unanswered*
Firstly, you must understand that the surface area of an irregular polygon like the one in the problem must be found by dividing its faces into rectangles and finding the sum of the areas of those rectangles.
Another way to say this is that the surface areas of these solids can be found by adding up the areas of the rectangles that make their faces.
You will see that I attached a picture that divides the solid's faces into subsections, labelled a through i, including faces that are not visible in the diagram.
If you divided the solid's faces in the same way as the picture, the surface area is found as follows:
[tex]Area_A=12*7=84yd^2\\Area_B=12*4=48yd^2\\Area_C=12*4=48yd^2\\Area_D=4*4=16yd^2\\Area_E=11*3=33yd^2\\Area_F=12*3=36yd^2\\Area_G(notVisible)=12*11=132yd^2\\Area_H(notVisible)=12*7=84yd^2\\Area_I(notVisible)=Area_E+Area_D=33+16=49yd^2[/tex]
By the way, [tex]yd^{2}[/tex] is the same as "square yards".
After finding the areas of each rectangle, add them all up to get your final answer:
[tex]SurfaceArea=530yd^2[/tex]
please help! i will give brainliest!
Answer:
10.=138,037.5311
Step-by-step explanation:
the first year=26000
2nd year_100%=26000
103%=?
=26780
3rd=27583.4
4th=28410.902
5th=29263.22906
total=138,037.5311