Answer:
21 and 96
Step-by-step explanation:
Let x and y be the two numbers such that x>y.
As the sum of both the numbers is 96.
x+y=96...(i)
As the larger number is nine less than four times the smaller number,
So, x=4y-9
From equation (i),
4y-9+y=96
5y=96+9=105
So, y=105/5=21
By using equation (i),
x=96-y=96-21=75
Hence, both the numbers are 21 and 96.
What is 2 and 1/4 divided by 3/4?
Answer:3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
2 1/4 divided by 3/4 =
9/4 * 4/3 =
36/12 =
3
Gas mileage is the number of miles you can drive on a a gallon of gasoline.
A test of a new car results in 580 miles on 10 gallons of gas. How far could
you drive on 55 gallons of gas? What is the car's gas mileage?
Answer:
on 55 gallons of gas , you can drive 3,190 miles....the cars gas mileage 58 mpg or miles per gallon
The class can contain at most 28 students.
Answer:
s < 28
Step-by-step explanation:
CAN SOMEONE SHOW FULL STEPS PLEASEE I BEG YOU ??
Step-by-step explanation:
slope is the number before x so slope here is 3/1 always add the 1 if its a whole number if its a fraction leave it.
y=mx+b
the y-intercept is always be so graphing is now easy
put a dot on the y-intercept so in this case it is 3 on the y-axis. then use rise over run. rise being up and down and run being left and right. so go up 3 then right 1 and put a dot there and connect your 2 lines to make a graph. if the number was -3/1 you go down 3 and right one then but thats just hypothetical
now to make a equation for a point you put it in y=mx+b.
please mark me brainliest if this helped
PLEASE HELP FAST ILL MARK AS BRAINLIEST
Answer:
the last one
Step-by-step explanation:
What is -3(2a + 5b - 4y - 2)?
Answer: -6a-15b+12y+6
Step-by-step explanation:
Write the equation of the line in slope-intercept form that has a slope of 3 and passes through (5, -1)
Answer:
y = 3x - 16
Step-by-step explanation:
In this question, we have to write an equation in slope-intercept form with the given information.
Slope-intercept form: y = mx + b
We already know our slope: 3
However, we don't know what are y-intercept (b) is.
To find this, plug the given information in the equation and solve for b:
-1 = 3(5) + b
-1 = 15 + b
Subtract 15 from both sides.
-16 = b
This means that our y-intercept will be -16.
Now, plug in our new information to the equation:
y = 3x - 16
The equation y = 3x - 16 will be your answer.
Answer:
y = 3x - 16
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Slope: 3
Points: (5, -1)
y = 3x + b
-1 = 3 ( 5 ) + b
-1 = 15 + b
b = -16
y = 3x - 16
Rewrite the formula to solve for the positive value of r in terms of h and v.
Answer:
[tex]r=\sqrt{\dfrac{3V}{\pi h}}[/tex]
Step-by-step explanation:
The formula for the volume of a cone is given by :
[tex]V=\dfrac{1}{3}\pi r^2 h[/tex]
Where
r is radius of cone and h is its height
We need to solve the above formula for r.
Cross multiplying both sides of the given formula
[tex]3V=\pi r^ 2h[/tex]
Dividing both sides by πh.
[tex]\dfrac{3V}{\pi h}=\dfrac{\pi r^2 h}{\pi h}\\\\r^2=\dfrac{3V}{\pi h}\\\\r=\sqrt{\dfrac{3V}{\pi h}}[/tex]
So, the formula for r is [tex]\sqrt{\dfrac{3V}{\pi h}}[/tex]
3. Two balls are drawn in succession without replacement from an urn containing 4 red balls and 3 blue balls. Find the probability mass function (P.M.F.) for the number of red balls draw.
Answer:
X ____ 0 ______ 1 _______ 2
P(x) __ 1/7 _____ 4/7 _____ 2/7
Step-by-step explanation:
Given that :
Number of red balls = 4
Number of Blue balls = 3
Total number of balls = (4 + 3) = 7
Picking without replacement :
Number of picks = 2
1st pick is red :
Probability = (required outcome / Total possible outcomes)
USing combination formula :
nCr = n! / (n-r)! r!
Total possible outcome :
7C2 = 7! / 5!2! = 7*6 / 2 = 42 / 2 = 21
X = number of red
For red = 0;
P(x =0) = required outcome / Total possible outcomes
P(x = 0)
Required outcome : [4C0 * 3C2)]
P(x = 0) = [(4C0 * 3C2)] / 21 = (1*3)/21 = 3/21 = 1/7
P(x = 1)
Required outcome : [4C1 * 3C1)]
P(x = 1) = [(4C1 * 3C1)] / 21 = (4*3)/21 = 12/21 = 4/7
P(x = 2)
Required outcome : [4C2 * 3C0)]
P(x = 2) = [(4C2 * 3C0)] / 21 = (6*1)/21 = 6/21 = 2/7
Hence ;
X ____ 0 ______ 1 _______ 2
P(x) __ 1/7 _____ 4/7 _____ 2/7
Every month, Veronica deposits $230 in an account with an interest rate of 6% compounded monthly. How much money will she have in the account at the end of the first 5 years? (Round to the nearest cent. Do not enter the $ sign.)
Answer:
Veronica will have $310.04 at the end of first five years.
Step-by-step explanation:
Principal Amount P = $230
Interest Rate r = 6%
Time t = 5 years
Compounded monthly n = 12
We need to find the future amount (A)
The formula used is: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Putting values and finding A
[tex]A=P(1+\frac{r}{n})^{nt}\\A=230(1+\frac{0.06}{12})^{5*12}\\A=230(1+0.005)^{60}\\A=230(1.005)^{60}\\A=230(1.348)\\A=310.04[/tex]
So, Veronica will have $310.04 at the end of first five years.
at bingo Carol won 13 out of 25 games that she played . What percent of the games did she win?? ASAP
Evaluate the following expression. 7 1/4 x 2^2 +(8 1/2 -2) ÷ 3
Answer:
31.1666666667
Step-by-step explanation:
Caculator
What is the percent of change from 8,000 to 2,000?
Answer:
75% markdown
Step-by-step explanation:
If I am not mistaken, you can input this into everyday values like a shirt.
For example: If a shirt costs $8 but is on special for $2 then it is 75% off. Since 2 goes into 8 four times, 2 can be considered 25%. So since percent almost always add up back to 100, you take 100- 25 and you get a 75% markdown.
Or so I think, don't quote me on this.
3/8 divided by 4????
Answer:
um Yess?
Step-by-step explanation:
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What is an equation of the line that passes through the point ( 6 , − 2 ) (6,−2) and is perpendicular to the line 6 x + y = 2 6x+y=2?
Answer:
An equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be:
[tex]y=\frac{1}{6}x-3[/tex]Step-by-step explanation:
We know that the slope-intercept form of the line equation is
y=mx+b
where m is the slope and b is the y-intercept.
Given the line
6x+y=2
Simplifying the equation to write into the slope-intercept form
y = -6x+2
So, the slope = -6
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.
Thus, the slope of the perpendicular line will be: -1/-6 = 1/6
Therefore, an equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be
[tex]y-y_1=m\left(x-x_1\right)[/tex]
substituting the values m = 1/6 and the point (6, -2)
[tex]y-\left(-2\right)=\frac{1}{6}\left(x-6\right)[/tex]
[tex]y+2=\frac{1}{6}\left(x-6\right)[/tex]
subtract 2 from both sides
[tex]y+2-2=\frac{1}{6}\left(x-6\right)-2[/tex]
[tex]y=\frac{1}{6}x-3[/tex]
Therefore, an equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be:
[tex]y=\frac{1}{6}x-3[/tex]17 Billie deposited three paychecks, one was $435.20 , one was $ 510.20 and the third one was $ 345.12 plus $142 cash into her checking account Her original balance was $ 225.30. Assuming all the checks clear, how much will be in his checking account after the deposits are made?
Answer:
$1,657.82
Step-by-step explanation:
435.20 + 510.20 + 345.12 + 142 + 225.30 = total checking balance
1,657.82
write the equation of the line AB with A (3,4) B(6,8)
Help pleassse :)
Answer:
y = (4/3)x.
or in standard form it is
-4x + 3y = 0.
Step-by-step explanation:
The slope m = (8-4) / (6-3)
= 4/3
Using the point-slope form of a line:
y - y1 = m(x - x1)
We use m = 4/3, x1 = 3 and y1 = 4:
y - 4 = 4/3(x - 3)
Multiply through by 3:
3y - 12 = 4(x - 3)
3y = 4x - 12 + 12
3y = 4x
y = (4/3) x
or in standard form it is
-4x + 3y = 0.
8 1/4 hours of work for a total pay of $99.00 What is the unit rate :)
Answer:
$12 per hour
Step-by-step explanation:
8.25 hours for $99
99/8.25 = 12
$12 per hour
At a hardware store, a tool set normally costs $80. During a sale this week, the tool set costs $12 less than usual. What percentage of the usual price is the savings?
15%
Explaination according to zehtmnt who also answered this question by another person:
You have to do a proportion
12. = x
80 100 and u have to cross multiply
80x = 1200
80. 80
Given the function:
f (x) = (3 x + 4) minus (2 minus x)
Evaluate for f (5).
please help me out here I need it
Step-by-step explanation:
it is the 3rd one I know this as I substituted all values of x into each equation and got the answer for y
Answer:
y=2X2-5x+5
Step-by-step explanation:
What linear function models the table of values?
A cashier at the local bank expected to serve 12 customers every hour. In the past 15 minutes he served 4 customers. Assuming that the cashier continues to work at the same rate, will he meet his goal?
Answer: yes
yes
Step-by-step explanation: he will do more than his goal because 4x3=12 and 15x3= 45
A small garden has an area of 25 square yards. How long is each side of the garden? *
Answer:
5
Step-by-step explanation:
50 POINTS!!!!
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
y=-16x^2+212x+139
Which of the following methods of timekeeping is the least precise?
A. Using a Calendar
B. Using a stopwatch
C. Counting your heartbeats
D. Observing the seasons
Answer:
na D cause imagine always observing the seasons bro
Which equation calculates the number of 1/8 foot pieces you can cut from 5 feet of ribbon
Answer:
40
Step-by-step explanation:
The number ribbons cut from the 5 feet long one is 40 ribbons, the equation is n = 5÷1/8
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
For example, 3x - 5 = 16 is an equation.
Given that, a ribbon of 5 feet long ribbon is cut into n 1/8-foot-long ribbons, we need to determine the equation calculates the number of 1/8 foot pieces,
So, the equation =
n = 5÷1/8
n = 40
Hence the number ribbons cut from the 5 feet long one is 40 ribbons, the equation is n = 5÷1/8
Learn more about equations, click;
https://brainly.com/question/29657983
#SPJ2
Midpoint................
Answer:
EG =7
Step-by-step explanation:
Please mark me brainliest and 5 star
Answer:
[tex]7[/tex]
Step-by-step explanation:
[tex]look \: picture[/tex]
[tex]pls \: mark \: as \: brainliest[/tex]
(x2 +9) - (-7x2 – 3x + 9)
Answer:
8x²+3x
Step-by-step explanation:
Round 4.645 to the
nearest whole number.
Answer:
the answer is 5
Step-by-step explanation:
Number Rounded to Nearest Whole Number
4.645 5
5.645 6
6.645 7
7.645 8
8.645 9
9.645 10
10.645 11
11.645 12
12.645 13
13.645 14