Step-by-step explanation:
Step one:
Given
The expression for Katya's distance away from home is given by the expression
[tex]y=60x+20[/tex]
y represents her total distance away from home
x= represent the time of travel in hours
Step two:
60 represents the rate at which the train is traveling in km per hour
20 represents the initial distance from home
we predict her distance away at a given time
say 4 hours, that is x=4hours
substituting in the expression
y=60x+20
y=60(4)+20
y=240+20
y=260km
Answer:
y=260km
Step-by-step explanation:
Mr. Rodriguez barrowed 5000 to purchase a used car. He made payments of 236 per month to repay the amount he barrowed. Which table represents this information?
these numbers below represent the tables.
a:
0 5000
1 5000
3 5000
7 5000
b:
0 5000
1 4800
3 4400
7 3600
c:
0 5000
1 4770
3 4310
7 3390
d:
0 5000
1 4764
3 4292
7 3348
Write \sqrt{-40}
−40
in simplest radical form.
Answer:
2*{2*i*√(10) - 20}
Step-by-step explanation:
i will interpret your expression as being
sqrt{-40} − 40. The first term factors to
sqrt{-4*10)
and the second stays as is.
Then we have
sqrt(-4*10) - 40, or
i*2*sqrt(10) - 40, or
2*{2*i*sqrt(10) - 20}, or
2*{2*i*√(10) - 20}
what is the slope of a line that is parallel to the line that passes through the points (2,-2) and (5,-1)
Answer:1/3
Step-by-step explanation:
The formula for finding slope is (y2-y1)/(x2-x1)
(-1--2)/(5-2)
1/3
Determine the type of triangle that is drawn below.
Answer:
Isosceles Right
Step-by-step explanation:
A bathtub contains 12 gallons of water. With these 12 gallons, the bathtub is only 30% full. How many gallons of water can the bathtub hold when it is completely full?
Answer:
40 gallons
Step-by-step explanation:
Let the number of gallons that would completely fill the bathtub be represented by N.
Since 12 gallons of water gives 30% of the number of gallons to fill the bathtub, then;
30% of N = 12
[tex]\frac{30}{100}[/tex] x N = 12
30N = 12 x 100
30N = 1200
divide both sides by 30,
N = [tex]\frac{1200}{30}[/tex]
= 40
The number of gallons that would completely fill the bathtub is 40 gallons.
There was 4/5 of a cake sitting on the counter. Daryl ate 1/3 of the left over cake. How much cake was left over after he ate?
Answer:
7/15
Step-by-step explanation:
find a common demonator for example 15
you would do 4x3 for 12 and 5x3 for 15 so your first fraction would be 12/15
for the second fraction you will do 1x5 and 3x5 so your fraction would be 5/15
then you just subtract.
Answer:
7/15
Step-by-step explanation:
4/5 - 1/3. Change the denominators to 15, do they same to the numerators which is multiply by 5. You then have 12 minus 5 = 7. So 7/15.
Ellyana's landscape gardening business creates odd-shaped lawns that include semicircles. Which choice best represents the area of this semicircular section of the lawn in this design. Use 3.14 for pi
Question 1 options:
452.16 meters squared
29.5788 meters squared
56.52 meters squared
226.08 meters squared
Answer: 56.52 meters squared i took the test :)
Step-by-step explanation:
ALSO ITS MY NAME LOL
Find the slope of the line going through the points (1,3) and (4,9) The slope of the lines is m = (For example, slope -2)
Solve the system of linear equations by adding or subtracting. 2x +y = -6 -5x + y = 8 Enter the solution as an ordered pair. The solution is
Answer: (-6,-4)
Step-by-step explanation:
WHAT'S THE RANGEE??
Answer:
-2 < y ≤ 10
Step-by-step explanation:
The graph's lowest point is at y = -2, and the graph's highest point is at y = 10, so we know it would start off with -2 and end with 10. The dot at the lowest point is not shaded in, indicating that the graph does not include -2. So, we would represent this exclusion in our inequality with a less than (<) sign. As for the highest point at y = 10, it is shaded in, indicating that the graph does include 10. We would show this in our inequality with a less than or equal to sign (≤)
Identify the equation of the line graphed below.
Answer:
B
Step-by-step explanation:
this is the correct awnser because the thingy is y-y¹=slope(x-x¹) so for y¹ it would be 2 and that gives away the awnser. because all of the other ones have different numbers if the minus sign is an addition sign it mean that the y¹ is negative which it isnt.
how you would find the y¹ is you look on the y-axis and see where the line goes through perfectly which is the positive 2
Hope this helps!
and isn't to complicated
The scale factor of two similar polygons is 2:3. The perimeter of the larger polygon is 150 centimeters. What is the perimeter of the smaller polygon?
The perimeter of the smaller polygon from the given ratio is 100 centimeters.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
The basic formula to find the scale factor of a figure is expressed as,
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
Given that, the scale factor of two similar polygons is 2:3.
The perimeter of the larger polygon is 150 centimeters.
Let x be the perimeter of the smaller polygon.
Now, 2/3 =x/150
⇒ x=100 centimeters
Therefore, the perimeter of the smaller polygon is 100 centimeters.
To learn more about the scale factor visit:
https://brainly.com/question/22312172.
#SPJ2
I need help on questions 2 and 4
Answer:
Step-by-step explanation:
1). There is 5 hours between 8:15 A.M. and 3:15 P.M.
7 × 60 - 10 = 410 minutes
2). 6 hours and 50 minutes
3). Right angle (90°)
4). Obtuse angle (120°)
The graph shows the amount of money paid when purchasing bags of caramel corn at the zoo:
A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 10. Four points are shown on the graph on ordered pairs 0, 0 and 1, 3 and 2, 6 and 3, 9. These points are joined by a line. The label on the x-axis is Bags of caramel corn. The title on the y-axis is Total cost in dollars.
What does the point (0, 0) on the graph represent?
Answer:
Step-by-step explanation:
propportinal
means that the points are inproportion
ratios
1:3=2:6=3:7
1/3=2/6=3/7
1/3=1/3=3/7
false
therefor it is not poropoortional
another way is to graph the points and see if a straight line can go though all of them
it can go thoruhg the first 3 but not eh 4th pont (3,7)
not proportional
Answer:
a
Step-by-step explanation:
Sally bought shirts and pants for school. She bought a total of 8 items. Each pair of pants cost $28, and each shirt cost $12. She spent a total of $144. How many pairs of pants did Sally buy? How many shirts did she buy?
Answer:
3 pants and 5 shirts
Step-by-step explanation:
x+y=8
28x+12y=144
-12x-12y=-96
16x=48
x=3
Please help i will mark branliest
Given a triangle on a coordinate plane, Steve found its circumcenter. How can he check the answer?
Use midpoint formula to find the midpoint of each side
Use distance formula to verify that each vertex is equidistant from the circumcenter
Use distance formula to verify that each side is equidistant from the circumcenter
There is no way to verify the coordinates of the circumcenter
Given a triangle on a coordinate plane, Kim found its incenter. How can she check the answer?
Use distance formula to verify that each side is equidistant from the incenter
Use midpoint formula to find the midpoint of each side
There is no way to verify the coordinates of the incenter
Use distance formula to verify that each vertex is equidistant from the incenter
Answer:
ihnc
Step-by-step explanation:
ihnc
Answer:
The answer is D - Use distance formula to verify that each vertex is equidistant from the incenter.
Step-by-step explanation:
I know because I just toke the test and got it right.
find the value of c that completes the square
x^2-6x+c
please help me with the math problem and show me how to do these kinds.
Thank you.
Answer:
The answer is 9
Step-by-step explanation:
for the equation:
move the -6x
x^2 + c - 6x
To find c :
c = (b/2)^2
this means you have to divide the coefficient of x by 2 then square the result
If you dont understand I put a picture of all the steps
please help me i give brainliest
the question is if you can’t see it “If 2 ringtones cost $6, and the cost of 3 ringtones is $9 how can you setup a proportion to compare two ratios? Use the graphic organizer below to set up your proportion!”
Answer:
I think
2 ring.... = $6
3ring..... = $9
1rings = 6/2 = 3
Step-by-step explanation:
For ratio you can write
2/6 = 3/9
Answer will be
1/3
Ratio is kinda rate for buying stuff, like comparison too
Which decimals written in expanded form are greater than 5.3? Check all that apply. 5 + 0.3 + 0.00 5 + 0.3 + 0.001 (5 × 1) + (2 × 0.1) + (9 × 0.01) (5 × 1) + (3 × 0.1) + (3 × 0.01) (6 × 1) + (2 × 0.1) + (1 × 0.01)
Answer:
Any number in form of x.y = x (1) + 1/10 (y)
where x = 5 & y > 3 , or x > 5
Step-by-step explanation:
Expanded form of 5.3 = 5 (1) + 3 (1/10)
Some decimals written in expanded form that are greater than 5.3 :
5 (1) + 4 (1/10) = 5.4
6 (1) + 2 (1/10) = 6.2
A piece of cardboard has the dimensions (x + 15) inches by (x) inches with the area of 60 in 2 . Write the quadratic equation that represents this and show your work. Then find the possible value(s) for x, and find the actual dimensions of the postcard.
Answer:
[tex]x^2 + 15x - 60 = 0[/tex]
The actual dimension is 18.28 by 3.28
Step-by-step explanation:
Given
Dimension:
[tex](x + 15)\ by\ x[/tex]
[tex]Area = 60in^2[/tex]
Required
Determine the quadratic equation and get the possible values of x
Solving (a): Quadratic Equation.
The cardboard is rectangular in shape.
Hence, Area is calculated as thus:
[tex]Area = Length * Width[/tex]
[tex]60= (x + 15) * x[/tex]
Open Bracket
[tex]60= x^2 + 15x[/tex]
Subtract 60 from both sides
[tex]x^2 + 15x - 60 = 0[/tex]
Hence, the above represents the quadratic equation
Solving (b): The actual dimension
First, we need to solve for x
This can be solved using quadratic formula:
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = 1[/tex]
[tex]b = 15[/tex]
[tex]c = -60[/tex]
So:
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]x = \frac{-15 \± \sqrt{15^2 - 4*1*-60}}{2*1}[/tex]
[tex]x = \frac{-15 \± \sqrt{225 + 240}}{2}[/tex]
[tex]x = \frac{-15 \± \sqrt{465}}{2}[/tex]
[tex]x = \frac{-15 \± \21.56}{2}[/tex]
Split:
[tex]x = \frac{-15 + 21.56}{2}[/tex] or [tex]x = \frac{-15 - 21.56}{2}[/tex]
[tex]x = \frac{6.56}{2}[/tex] or [tex]x = \frac{-36.36}{2}[/tex]
[tex]x = 3.28[/tex] or [tex]x = -18.18[/tex]
But length can't be negative;
So:
[tex]x = 3.28[/tex]
The actual dimensions: [tex](x + 15)\ by\ x[/tex] is
[tex]Length =3.28 +15[/tex]
[tex]Length =18.28[/tex]
[tex]Width = x[/tex]
[tex]Width =3.28[/tex]
The actual dimension is 18.28 by 3.28
1). Aziz has a job mowing lawns in the summer. The graph below shows the amount of earnings, in dollars, based on the number of lawns Aziz mows. Enter an equation to represent the amount of earnings, e, in dollars, that Aziz makes in terms of the number of lawns, n, that he mows.
Answer:
The equation that represents the amount that Aziz earns for the number of lawn he mows is e = 15.875 × n
Step-by-step explanation:
From the graph, we have;
For the point where n = 4, we have e ≈ 63.5
Therefore, we have;
The slope = Δn/Δe = 63.5/(4) = 15.875
The coordinates of the points plotted on the graph are as follows;
n = 0, e = 0, therefore, the y-intercept is 0, and y = slope × x
n = 1, e = 1 × 0.79375 = 15.875
n = 2, e = 2 × 15.875 = 31.75
n = 3, e = 2 × 15.875 = 47.625
n = 4, e = 4 × 15.875 = 63.5
We have, e = 15.875 × n
Where, n represents the number of lawns Aziz mows, and n represents the amount of earnings Aziz makes in dollars
Therefore, the equation that represents the amount that Aziz earns for the number of lawn he mows is e = 15.875 × n
Anderson Middle School received 37 tickets to next week's ball game. The tickets were given out to the 5 sixth grade classes. How many tickets were given to each grade? and How many were left over?
Answer:
7 tickets given to each class, 2 left over
Step-by-step explanation:
You can divide 37 by 5 to get 2 remaining.
EX: 37 / 2 = 7 r2
What are two numbers that are 4 away from zero on a number line?
Answer:
4 and -4
Step-by-step explanation:
Because 4 to the left of 0 is negative and 4 to the right is positive
Answer:
The two numbers are: -4 and +4 (or just 4)
I HOPE THIS HELPS
Mr. Thomson created a mosaic tile in the
shape of a square to place in his kitchen.
9 in.
9 in
Which is closest to the length of the
diagonal of the tile?
A. 10 inches
B. 13 inches
C. 15 inches
D. 17 inches
I’ll give Brainlest if it’s right!!
Answer:
C
step by step
ithink so
Find the value of x in the figure below.
26
56
Х
The equation that represents the canned goods order is
24x + 64y = 384, where x = number of minutes for
producing fruit cans and y = number of minutes for
producing vegetable cans.
What is the meaning of the y-intercept?
If you can give sample response from edge I will give brainliest!
Answer:
The y intercept is where the number of minutes producing fruit cans is 0 and the value of the number of minutes for producing vegetable cans is on the y-axis.
Step-by-step explanation:
A y-intercept is where the x value is 0 and the y-value is on the y-axis. So, the answer consists of making the x value 0.
Answer:
Sample Answer: The x-intercept, at the point (16, 0) indicates the choice to produce fruit for 16 minutes. In 16 minutes, producing 24 cans of fruit a minute, all 384 cans for the order will be completed. The zero for the y-value represents that no time is spent producing cans of vegetables.
Step-by-step explanation:
Based on the given information, which conjecture is invalid?
Given: Amber has a pet with four legs.
a)Amber has a hamster.
b)Amber has a cat.
c)Amber has a parakeet.
d)Amber has a dog.
Help me please and thanks
Answer:
3/-4 or -0.75 is the answer
Step-by-step explanation:
hope this is the right answer if it isnt sorryy
Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.
Find the value of y.
Answer:
13.5
Step-by-step explanation:
just subtract everything aan keep the 13/5 and use tat
Answer:
y = 11.2
Step-by-step explanation:
Given:
The Side-Splitter Theorem states that:
JKP is any triangle
KL is drawn parallel to MN, then JK/KM = JL/LN
JK/KM = JL/LN = KL/MN
9/13.5 = (37.5 - x)/x = 7.5/y
9/13.5 = 7.5/y
y = 11.249
9/13.5 = (37.5 - x)/x
x = 22.5