Answer:
7/40 or 0.175
Step-by-step explanation:
simplify to get 2x+1/4=3/5
subtract 1/4 from both sides to get 2x=7/20
divide by 2 to get 7/40
this answer i decimal form is 0.175
Answer:
x = 7/40
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2x + 1 /4 = 3 /5
Step 2: Subtract 1/4 from both sides.
2x + 1 /4 − 1 /4 = 3 /5 − 1 /4
2x = 7 /20
Step 3: Divide both sides by 2.
2x /2 = 7 /20 /2
x = 7 /40
Answer:
x = 7 /40
Hope this helps!!
Are the arcs below congruent?
A. No, because the ares do not have the same measure.
B. There is not enough information to determine.
C. No because the ares are not oriented the same
D. Yes because the ares have the same measure.
Answer:
A
Step-by-step explanation:
Answer:
B
You do not have enough information to solve the question.
A dress is on sale for 20% off.
Including the discount and 9%
tax, the sales price of the dress
is $74.12. What is the price of
the dress before the discount
and tax?

Answer:
Step-by-step explanation:
let's say the price of the dress in the beginning is 100x
the on sale price decreases 80x
80x = 74.12
100 x = 92.75
Find the area under the standard normal curve to the left of z = 1.5
Answer:
0.9332
Step-by-step explanation:
Answer:
The answer is 0.9332 .
ΔABC is similar to ΔMNO. The scale factor from ΔMNO to ΔABC is 3∕2. If the perimeter of ΔMNO is 25 units, what's the perimeter of ΔABC? Question 20 options: A) 225 units B) 37.5 units C) 25 units D) 150 units
Answer:
b)37.5
Step-by-step explanation:
the ratio 3:2 is the same as 1.5, so you multiply 1.5 & 25 to get 37.5 units
The required measure of the perimeter of the ΔABC is 37.5 units. Option B is correct.
Given that,
ΔABC is similar to ΔMNO. The scale factor from ΔMNO to ΔABC is 3∕2. If the perimeter of ΔMNO is 25 units, what's the perimeter of ΔABC?
The scale factor is defined as the ratio of the modified change in length to the original length.
Here,
3/2ΔMNO = ΔABC
The perimeter of the ΔABC = 3/2 The perimeter of the ΔMNO
The perimeter of the ΔABC = 3 / 2 [25]
The perimeter of the ΔABC = 37.5
Thus, the required measure of the perimeter of the ΔABC is 37.5 units. Option B is correct.
Learn more about Scale factors here:
https://brainly.com/question/22312172
#SPJ2
please hurry!
The pie chart shows the number of students signing up for various athletic classes. Which bar diagram shows the percent of students signing up for Track and Field class?
Athletic Class Sign Up
1.) A bar diagram with 2 shaded squares and 8 unshaded squares.
2.) A bar diagram with 3 shaded squares and 7 unshaded squares.
3.) A bar diagram with 4 shaded squares and 6 unshaded squares.
4.) A bar diagram with 8 shaded squares and 10 unshaded squares.
Answer:
1) A bar diagram with 2 shaded squares and 8 unshaded squares.
Step-by-step explanation:
There are 100 students (40+15+20+25).
20 signed up for Track and Field.
20 out of 100 would equate to 20/100, or 2/10, or:
1) A bar diagram with 2 shaded squares and 8 unshaded squares.
Answer:
a
Step-by-step explanation:
the two squares are shaded and eight are not
The time it takes to drive from Orangeville to the Vaughan Mills Mall is normally distributed with a mean of 52 minutes and standard deviation of 5 minutes. What intervals could you estimate, using the knowledge from this activity that do not include the mean as a max or min? For example, is an interval we could estimate? However, it includes the mean as the maximum of the interval. Another example is as an example of a probability interval that we know from this activity, but it includes the mean as the minimum.
Given:
Mean of 52 minutes and a standard deviation of 5 minutes.
Solution:
According to the empirical rule: For the normal distribution, all of the data will fall within three standard deviations of the mean.
1: 68% of the data will fall within the first standard deviation from the mean.
2: 95% of the data fall within two standard deviations.
3: 99.7% of the data fall within three standard deviations.
[tex]3SD =99.7\%=\mu\pm3\sigma\\[/tex]
Therefore, the 7 intervals and their probabilities are:
1. [tex]1SD=0.68=P(47<x<57)[/tex]
2. [tex]0.95=P(42<x<62)[/tex]
3. [tex]0.997=P(37<x<67)[/tex]
4.[tex]13.5\%=P(42<x<47)[/tex]
5.[tex]13.5\%=P(57<x<62)[/tex]
6. [tex]2.35\%=P(37<x<42)[/tex]
7.[tex]2.35\%=P(62<x<67)[/tex]
A line passes through the point (2,-5) and is perpendicular to the line with the
equation y= 1/5x+ 5. What's the equation of the line?
OA) y = -1/5X + 1
B) y = -5x + 5
OC) y = 5x - 2
D) y=1/5x+4
slope = -5, y intercept = 5
===========================================
Explanation:
The given equation has slope 1/5. We can see that by comparing it to y = mx+b, with m as the slope.
Flip the fraction and the sign to go from 1/5 to -5/1 = -5. The perpendicular slope is -5. We can stop here since only choice B has such a slope.
---------------
If you're curious about finding the y intercept, then you would use m = -5 along with (x,y) = (2,-5) to find the value of b
y = mx+b
-5 = -5(2)+b
-5 = -10+b
-5+10 = -10+b+10 ... adding 10 to both sides
5 = b
b = 5 is the y intercept
So we have y = mx+b update to y = -5x+5 as the perpendicular line.
Answer:
[tex]y = - 5x + 5[/tex]
Step-by-step explanation:
[tex]y = \frac{1}{5} x + 5 \\ m = \frac{1}{5} \\ m1 = \frac{ - 1}{m2} [/tex]
.
[tex] \frac{1}{5} = \frac{ - 1}{m2 } \\ m2 = - 5 \\ x = 2 \: y = - 5 \\[/tex]
[tex] y = mx + c \\ - 5 = - 5(2) + c \\ - 5 = - 10 + c \\ - 5 + 10 = c[/tex]
[tex]c = 5 \\ m = - 5 \\ y = mx + c \\ y = - 5x + 5[/tex]
simplify the expression
[tex]10.8 + - 7.6 + 10.2h + 9.2[/tex]
Please help i will make brainliest for correct answers! :)
Answer:
For 13, there are 25 possible words, and for 14, depending on what the meaning of leaves is in this, the answer is 590.
Answer:
The first one is 25 and the second is 1080.
Step-by-step explanation:
To find how many 5-letter words you can make out of the letters, H, Q, L, R, and S, find the answer to 5². 5² = 25, so we can make 25 5-letter words. To find the number of "leaves" on the tree, just multiply the number of choices for color, monitor size, hard-drive size, and battery type together. So, 5×9×12×2 = 1080, so there are 1080 "leaves" on the tree.
Hope this helps! Plz give me brainliest like you said, it will help me achieve my next rank.
Richie and his brother have a paper route. Together they can deliver all of the papers in 40 minutes, and Richie can do it alone in 90 minutes. Richie’s brother slept in one day, leaving Richie to deliver alone for 30 minutes. How long must the two of them work together to finish delivering the newspapers?
Answer
30 minutes
Step-by-step explanation:
Answer: approximately 26.66667 minutes
This converts to 26 minutes, 40 seconds
=================================================
Explanation:
Let's say there are 360 newspapers that need to be delivered.
The two brothers can get the job done in 40 minutes if they work together. Their rate is 360/40 = 9 newspapers per minute.
Richie can do the full job alone in 90 minutes. So his rate would be 360/90 = 4 newspapers per minute. In 30 minutes, he delivers 30*4 = 120 newspapers. This leaves 360 - 120 = 240 left over.
Divide this over the rate of 9 papers per minute to get 240/9 = 26.66667 approximately. It takes about 26.66667 minutes to finish up delivering the 240 remaining newspapers if the brothers work together.
The portion 0.66667 multiplies with 60 to get 0.66667*60 = 40.0002 which rounds to 40 (we have rounding error going on). This means
26.66667 minutes = 26 minutes, 40 seconds
What is the y-intercept of line MN?
What is the equation of MN written in standard form?
Answer:
y-intercept of the line MN = 2
Standard form of the equation ⇒ x + y = 2
Step-by-step explanation:
Coordinates of the ends of a line MN → M(-3, 5) and N(2, 0)
Slope of a line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{5-0}{-3-2}[/tex]
= -1
Equation of the line MN passing through (-3, 5) and slope = -1,
y - 5 = (-1)(x + 3)
y - 5 = -x - 3
y = -x + 2
This equation is in the y-intercept form,
y = mx + b
where m = slope of the line
b = y-intercept
Therefore, y-intercept of the line MN = 2
Equation in the standard form,
x + y = 2
the first one is : -1
the second one is: y-5 = -1 ( x + 3)
the third one is: -x + 2
the first one to the right side is: 0,2
and the second one on the right side is: x+y=2
your welcome
Currently stuck on this problem, Please help me out
Answer:
4.24 blocks
hope this helps :)
The correct answer should theoretically be 4.24
Because the triangle has a vertical reflection across the center (AD)
Draw a picture to help you find the answers.
When Andrew got in his car to drive home from work, be saw that his fuel gauge
indicated that the tank was1/2 full. When he pulled into his driveway, the fuel gauge
showed that he used 1/3 of the fuel that was in the tank before he started his trip home.
3) How full was the tank when Andrew arrived home?
4) If the fuel tank had 4 gallons of gasoline left when he got home, how many
gallons of gasoline can the fuel tank hold?
Answer:
2/6 (1/3)
12 gallons
Step-by-step explanation:
3) 1/2x1/3=1/6, so he'd used 1/6 of a tank.
1/2-1/6=
3/6-1/6=2/6. So the tank was 2/6 full, or 1/3 full when he got home.
4) If it's 1/3 full and has 4 gallons, it can hold 12 gallons. (4x3)
FIRST GETS BRAINLLEST If you spin the spinner below 150 times, which of the following outcomes are reasonable? Select all that apply. A) Lands on blue 60 times B) Lands on red 120 times C) Lands on yellow 90 times D) Lands on yellow 44 times
Answer:
Step-by-step explanation:
Spinner pointing to red, blue or yellow is equally likely:
P(blue) = P(yellow) = P(red) = 1/3.
In a perfect world, the spinner would land on blue (1/3)(150) = 50 times; on red 50 times and on yellow 50 times.
If in real life the spinner lands on yellow 44 times (C) is most reasonable, as that is closest to the ideal 50 times.
A) Lands on blue 60 times - Reasonable outcome.
B) Lands on red 120 times - Not reasonable.
C) Lands on yellow 90 times - Not reasonable.
D) Lands on yellow 44 times - Reasonable.
If the spinner has three colors (red, yellow, and blue) with equal areas, and we spin it 150 times, the reasonable outcomes would be:
A) Lands on blue 60 times - Reasonable since there is an equal chance of landing on each color, and 60 is a fraction of 150 that falls within the expected range.
B) Lands on red 120 times - Not reasonable since the expected number of times for each color is 150 / 3 = 50, and 120 is significantly higher than this expected value.
C) Lands on yellow 90 times - Not reasonable since the expected number of times for each color is 150 / 3 = 50, and 90 is significantly higher than this expected value.
D) Lands on yellow 44 times - Reasonable since there is an equal chance of landing on each color, and 44 is a fraction of 150 that falls within the expected range.
Therefore, the reasonable outcomes would be A) Lands on blue 60 times and D) Lands on yellow 44 times.
To know more about outcome, refer here:
https://brainly.com/question/30592966
#SPJ2
[tex]if \sqrt{p ^{2} } +1= \frac{5}{4} .Find the postive value of p[/tex]
Answer:
Positive value of p = 1/2
Step-by-step explanation:
Given:
[tex]\sqrt{p^2}+1=\frac{5}{4}[/tex]
Find:
Positive value of p
Computation:
[tex]\sqrt{p^2}+1=\frac{5}{4}\\\\\sqrt{p^2}=\frac{5}{4}-1\\\\\sqrt{p^2}=\frac{5-4}{4}\\\\\sqrt{p^2}=\frac{1}{4}\\\\p = \frac{1}{2}[/tex]
Positive value of p = 1/2
Students in a school were asked to collect old bottles as part of a recycling drive. Some of the data recorded at the drive is shown in the histogram below: A histogram is shown with title Recycle Drive Collection. On the horizontal axis the title is Number of bottles. The title on the vertical axis is Students. The range on the horizontal axis is 0 to 5, 6 to 11, and 12 to 17. The values on the vertical axis are from 0 to 10 at intervals of 1. The bar for the first range is till 3, the bar for the second range is till 6, the bar for the third range is till 1. Help 50 points :0 Which information is not provided in the histogram? A : The total number of students who collected bottles B : The number of students who collected 6 or more bottles C :The number of students who collected exactly 4 bottles D :The total number of students who collected 12 or more bottles
Answer:
A) C
B) 47 inches
Step-by-step explanation:
A) The range on the horizontal axis is 0 to 5, we cannot tell how many students collected the exact number of bottles.
The correct option would be the number of students who collected exactly 4 bottles.
B) The mean of a data set is written as:
[tex]mean = \frac{sum \: of \: terms}{number \: of \: terms}[/tex]
[tex]mean=\frac{45+48+49+40+53}{5}[/tex]
[tex]mean=\frac{235}{5}[/tex]
[tex]mean=47[/tex]
The average height of the students is 47 inches.
Answer:
A & B
Step-by-step explanation:
A tiling company completes two jobs. The first job has $1200 in labor expenses for 40 hours worked, while the second job has $1560 in labor expenses for 52 hours worked. The relationship between the labor expenses and the hours worked is linear. Which equation can be used to calculate the y-intercept of the linear equation? 1200 = 40 (40) + b 1560 = 30 (40) + b 1560 = 30 (52) + b 1200 = 52 (30) + b
The slope (change in y/change in x) of the line is (1560 - 1200)/(52 - 40), which is equal to 30. We can plug this into the equation y = mx + b using either the point (40, 1200) or (52, 1560). The slope is represented by m and the y - intercept by b. Therefore, the two possible equations you could use are:
1200 = 30(40) + b
or 1560 = 30(52) + b
Using either equation, you'll get that b is equal to 0, which makes sense in the context of the problem, since it's reasonable to expect that the labor expenses would be 0 for 0 hours worked.
Answer:
im pretty sure its C
Step-by-step explanation:
Hope this helped! :) Oh and I took the test on edge and got a good grade, but i didnt know if i got this right or wrong bc i couldnt look back at it
PLEASE HELP!!!! FAST THANK YOU FOR YOUR HELP!!!
With steps please!
Answer:
The nearest whole number you need to round to is: $3,094.00
Step-by-step explanation:
If Ava deposited the $400.00, which is four-hundred dollars and zero cents each month for here monthly deposits each month, then she would have to have 3.35% compound which is three point thirty-five percent compound price times the number of her monthly deposit of four-hundred dollars and zero cents which is $400.00 she would get the result that $3,094.00 which is three-thousand, ninety-four dollars and zero cents, which is the answer because if you round it with $1,250.00 which is one-thousand, two-hundred and fifty dollars and zero cents then it doesn't work out. So in the end, it would be: $3,094.00!
If the rule is y=x+6, what is the y-coordinate for this ordered pair? (8,y)
Answer:
[tex]\boxed{y=14}[/tex]
Step-by-step explanation:
[tex]y=x+6[/tex]
[tex](x, y)[/tex]
The x coordinate is given.
[tex](8,y)\\x=8[/tex]
Plug x as 8.
[tex]y=8+6\\y=14[/tex]
I wish to have $10,000 at the end of 8 yers in a bank offering a simple interest rate of 7.5% per year. How much should I deposit in the bank THIS IS URGENT! PLEASE ANSWER! I REALLY NEED HELP! :((( :c :'( *crys
Answer:
You have to invest $6,250
Step-by-step explanation:
very simple applying the simple interest formula which is
[tex]A = P (1 + rt)[/tex]
Given data
A, final amount = $10,000
P, initial principal balance= ?
r, annual interest rate = 7.5%
t, time (in years)= 8 years
we can substitute our given data to find the principal needed.
[tex]10000= P(1+0.075*8)\\\10000= P(1.6)\\\[/tex]
Divide both sides by 1.6 we have
[tex]P= \frac{10000}{1.6} \\\P= 6250[/tex]
P= $6,250
Murray’s father deposited $6,000 of his savings into two accounts. One account earns 1.5 percent interest, and the other account earns 2.5 percent interest. At the end the year, the interest in the account that earned 2.5 percent was $110.00 more than the other account. Which system represents the amounts of money, x and y, that was put into each account? x + y = 6,000. 0.025 x + 0.015 y = 110. x + y = 6,000. 0.25 x + 0.15 y = 110. x + y = 6,000. 0.025 x minus 0.015 y = 110. x + y = 6,000. 2.5 x minus 1.5 y = 110.
Answer:
x + y = 6,000
0.025x - 0.015y = 110
Step-by-step explanation:
Let x and y = amount of money deposited in each account respectively
Total savings=$6,000
Therefore
x+y=6000
x account earns 1.5 percent interest, and y account earns 2.5 percent interest.
1.5% * y
=(1.5/100)y
=0.015y
2.5% * x
=(2.5/100)x
=0.025x
The interest in the account that earned 2.5 percent was $110.00 more than the other account.
This means the difference between 0.025x account and 0.015y account=110
0.025x-0.015y=110
x + y = 6,000
0.025x - 0.015y = 110
Answer: The answer is C: x + y = 6,000. 0.025 x minus 0.015 y = 110.
Step-by-step explanation:
did the quiz got a 100% on it.
I WILL GIVE BRAINLIEST FOR THE CORRECT ANSWER!!! Which equation does the graph below represent? y = −2x y = x y = 2x y = x (click the picture below)
Answer:
y = -2x
Step-by-step explanation:
Some points are (1,-2) , (2, -4), and (3,-6).
From these three points, we can try each of the equations to see what is correct.
If y = -2x
-2 = (-2)1
-4 = (-2)2
-6 = (-2)3
If y = x
-2 ≠ 1
-4 ≠ 2
-6 ≠ 3
If y = 2x
-2 ≠ 2(1)
-4 ≠ 2(2)
-6 ≠ 2(3)
Write an algebraic equation to match each graph. (These graphs are not drawn to scale!)
Answer:
y=|x+1|
Step-by-step explanation:
The y value appears to be 1 more than the x value, so we need to add one to the x to make them even. (x+1)
But the y value doesn’t go below zero, so we need to add the absolute value brackets |x+1|
So y=|x+1|
The graph represents the equation : g(x) = |x + 1|
We have a graph given to us.
We have to write the algebraic expression depicting this graph.
What is Modulus of the function y = f(x) = x ?The modulus of the function y = f(x) = x is given by -
y = |x| = [tex]\left \{ {{x\;\;for\;x > 0} \atop {-x\;\;for\;x < 0}} \right.[/tex]
Using the above property, we can find out the number of solutions of any modulus equation.
The algebraic equation for the graph can be written as -
g(x) = [tex]\left \{ {{x+1;\;for\;x \geq 0} \atop {-x-1\;for\;x < 0}} \right.[/tex]
In the form of modulus function, we can write the above equation as -
g(x) = |x + 1|
Hence, the graph represents the equation : g(x) = |x + 1|
To solve more questions on modulus function, visit the following link -
https://brainly.com/question/13103168
#SPJ5
Multiply 4/5 × 3/20. in simplest form
━━━━━━━☆☆━━━━━━━
▹ Answer
3/25
▹ Step-by-Step Explanation
[tex]\frac{4}{5} * \frac{3}{20} \\\\= \frac{12}{100} \\\\\frac{12}{100} divide each side by 4\\\\\frac{12}{100} \\\\= \frac{3}{25}[/tex]
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Consider circle Y with radius 3 m and central angle XYZ measuring 70°. What is the approximate length of minor arc XZ? Round to the nearest tenth of a meter.
Answer:
Options?
Step-by-step explanation:
Answer:
3.7 meters
Step-by-step explanation:
Mr. Martin's math test, which is worth 100 points, has 35
problems. Each problem is worth either 5 points or 2
points.
Let x = the number of questions worth 5 points.
Let y = the number of questions worth 2 points.
o 10p
2 poi
x + y = 35,
o 15p
2po
5x + 2y = 100
20
2 pc
25
[5x +2y]35 =100
ddddddddddddd
Write an equation in slope-intercept form for the line that satisfies the following condition.
slope 5 and passes through (2, 28)
Select one:
O a.y=5x - 28
O b.y = 2x - 2
O c. y= 28x + 18
O d. y = 5x + 18
Answer:
d. y= 5x+18
Step-by-step explanation:
y=mx+b is slope intercept form
Now we plug in the information given to us which is slope(m) is 5 and a point (x,y) which is (2,28).
So by substituting we get 28=5(2)+b
simplify to 28=10+b and when we subtract 10 from both sides to isolate 'b', we get that b = 18.
So now we use the values of slope(m) and the y-intercept(b) to write the equation:
y=5x+18
Hey there! I'm happy to help!
Slope-intercept form is a way to write the equation of a line, and it is very useful. It is y=mx+b. This equation shows how y is related to x on a line. The m represents the slope, which is the incline of the line. The b represents the y-intercept, or where the line hits the y-axis.
If you find any value for x and plug it into the equation, you will figure out what y-value it matches on the line. If you had the equation you could draw the line by plugging in x-values and plotting points and connecting the dots!
Anyways, we have a slope of 5. This means that so far our equation looks like y=5x+b. It does not tell us what the y-intercept is, so we need to figure it out!
If we have the values for m, x, and b, we can solve for y. Well, we don't have b, but we do have values for y, x, and m, so we should be able to solve for b!
We will plug in our point (2,28) and solve for b!
28=5(2)+b
28=10+b
b=18
Our y-intercept is 18.
So, we can write this equation in slope-intercept form for the line that follows the condition of slope 5 and passing through (2,28) below.
y=5x+18
Therefore, our answer is d. 5x+18.
Now you can find the equation of a line given the slope and a point! Have a wonderful day! :D
May someone please explain what a central tendency is I do not understand what it exactly means
A train travels 60km in y minutes.If this average speed is 400km per hour,find the value of y
Answer:
9
Step-by-step explanation:
Speed of the train is:
60 km / y minAnd average speed is:
400 km / h = replacing 1 h with 60 min400 km/ 60 min = 20 km /3 min = 60 km / 9 minComparing the two above, we see y= 9
Multiply.
(2x2 – 3x)(3x2 + 2x - 1)
A. 5x4 - 5x2 - 7x2 – 3x
B. 6x4 + 5x3 - 8x2 + 3x
C. 6x4 - 5x3 - 8x2 – 3x
D. 64 - 5x3 – 8x2 + 3x
Answer:
correct answer is D
Step-by-step explanation: