A jug is filled with 1 litre of orange juice. Four 200ml glasses are poured from the jug. How much orange juice is left in the jug?
Answer:
Step-by-step explanation:
As given that
Volume of jug=1 liter=1000ml
also volume of one glass=200ml
and we poured out 4 glasses so total volume of 4 glasses will be,
4 glasses volume = 4*200ml =800ml
Hence the volume of orange left in jug =1000ml-800ml =200mlStep-by-step explanation:
ml to litres = divide by 1000
200/1000 = 0.2×4= 0.8ml
If the area of a rectangle with length (4x) is 4x2 + 12x, find the width.
Answer:
The width of a rectangle is: w = x+3
Step-by-step explanation:
Given
The length of rectangle = l = 4x
The area of rectangle = A = 4x² + 12x
To determine
The width of rectangle = w = ?
We know that the formula of the area of the rectangle is
[tex]A = wl[/tex]
substitute A = 4x² + 12x and l = 4x in the equation to determine the width w of the rectangle
4x² + 12x = w×4x
w = [4x² + 12x] / [4x]
Factor 4x² + 12x: 4x(x+3)
w = [ 4x(x+3) ] / [4x]
w = x+3
Therefore, the width of a rectangle is: w = x+3
Please help! I don’t have much to offer except the crown icon thing and 15 points.
x/9>12
x>12×9
x>108
This is your answer
5(9 + a) < 110 what the inequality?
Answer:
Step-by-step explanation:
we will use first the distributive property and multiply
45+ 5a<110
subtract 45 from both sides
5a<110-45
5a<65 we divide by 5
a<13
David earns $8 per hour. He works 40 hours each week. Michael earns $9 per hour. He works 28 hours each week. After 6 weeks what is the difference in how much they made? $_______ more.
Answer:
68
Step-by-step explanation:
8 x 40 = 320
9 x 28 = 252
320 - 252 = 68
Today, everything at store is on sale. The store offers a 20% discount. Which of these expressions could be used to
fnd the discount price?
Answer:
2. 0.2x
Step-by-step explanation:
Written as a simplified polynomial in standard form, what is the result when ( x + 2 ) 2 (x+2) 2 is subtracted from 7 x − 4 7x−4?
Answer:
-x²+3x-8
Step-by-step explanation:
Given polynomials are :
f(x) = (x+2)²
p(x) = 7x−4
We need to find a simplified polynomial when f(x) is subtracted from p(x) i.e.
p(x) - f(x) = 7x−4 - (x+2)²
We know that, (a+b)² = a²+b²+2ab
So,
p(x) - f(x) = 7x−4 -(x²+2²+2(x)(2))
= 7x−4 -(x²+4+4x)
= 7x−4-x²-4-4x
= -x²+3x-8
Hence, the result will be -x²+3x-8.
if 1 is a root of the equation
[tex]5x^{2} +kx - 3 = 0 [/tex]
find the other root
Step-by-step explanation:
5x² + kx - 3 = 0 has a root x = 1.
=> 5(1)² + (1)k - 3 = 0
=> 5 + k - 3 = 0
=> k = -2.
Therefore we have 5x² - 2x - 3 = 0.
=> (x - 1)(5x + 3) = 0
=> x = 1 or x = -3/5.
Hence the other root is -3/5.
HAAALPPPPP PLZZZ I'm stuck on this question
Answer:
$28
Step-by-step explanation:
9 tho cars is $14 and 9x2 is 18 so you would do 14x2 which is 28
Find the value of x that makes A || B.
1
2
4
3
5
22 = 2x + 10 and 24 = 4x + 80
x= [?]
Enter
Answer:
the answer is 15 I just took the assessment
Robin invests $3,210 in an account that is compounded annually and pays
an interest of 3.4% each year. By what factor is the investment
increasing every year?
Answer:
the factor is an increasing value of 17/332 or the power of pointed answers of interest of 3.4% which makes it aroujd 2 but doesnt matter because its the factor and not issued investment
Step-by-step explanation:
(2, -4), (x, y) , A , and B all lie on the line. Find an equation relating x and y.
Answer:
An equation relating x and y is:
y = 3/4x - 5.5
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
m is the slopeb is the y-interceptGiven the points
(2, -4), (x, y), A(6, -1), and B(10, 2)
Taking any two points let say A(6, -1), and B(10, 2) to determine the slope
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(6,\:-1\right),\:\left(x_2,\:y_2\right)=\left(10,\:2\right)[/tex]
[tex]m=\frac{2-\left(-1\right)}{10-6}[/tex]
Refine
[tex]m=\frac{3}{4}[/tex]
We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = -5.5
Thus, the y-intercept b = -5.5
Thus, substituting b = -5.5 and m = 3/4 in the slope-intercept form of the line equation
y = mx+b
y = 3/4x + (-5.5)
y = 3/4x - 5.5
Therefore, an equation relating x and y is:
y = 3/4x - 5.5
Answer:
no
Step-by-step explanation:
yes
Simplify the rational expression:
4a²-36/24-8a
(__/2)
Answer:
- (a + 3) / 2Step-by-step explanation:
(4a² - 36)/(24 - 8a) =4( a² - 9) /8(3 - a) =( a² - 9) /2(3 - a) =(a + 3)(a - 3)/2(3 - a) =- (a + 3) (3 - a)/2(3 - a) =- (a + 3) / 2Someone help me with both I will give u 5 points
Joseph biked 8 miles north and stopped at Patsy's Peach Farm. He then then traveled west and stopped at a gas station to get air for his tire. From there he rode directly home, diagonally, which was exactly 11 miles? How many miles is the peach farm from the gas station? Rounded to the nearest tenth of a mile and use appropriate units.
Answer:
[tex]\sqrt{57}[/tex] or 7.54983
Step-by-step explanation:
Select the correct answer.
Which logarithmic equation is equivalent to this exponential equation?
2,400 = 7,500(10) *
A.
B.
I = log
log (3)
I = -log ()
I = -log (*)
I = log (1)
OC.
D.
Answer:
B.
Step-by-step explanation:
2,400 = 7,500[tex](10)^{x}[/tex]
First of all, you want to isolate the [tex](10)^{x}[/tex] by dividing each side by 7,500.
After doing this, you will get
[tex]\frac{2400}{7500}[/tex] = [tex](10)^{-x}[/tex].
Putting this in the logarithmic form, you get [tex]log_{10}[/tex] [tex]\frac{2400}{7500}[/tex] = - x
To get rid of the negative sign, you would simply multiply both dies of the equation by -1. So you would get [tex]-log_{10} \frac{2400}{7500}[/tex] = x.
When you simplify 2400/7500, you get 8/25, so the answer is B.
Hope this helps!
You can use the definition of logarithm here.
The logarithmic equation that is equivalent to the given exponential function is given by:
Option C: [tex]x = -\rm log(\dfrac{8}{25})[/tex]
Given logarithmic equation is: [tex]2400 = 7500(10)^{-x}[/tex]To find:The equivalent exponential function to given logarithmic equation.
What is the definition of logarithm?
Logarithm is inverse function to exponentiation.
That means:
[tex]e^a = b \implies a = log_e(b)[/tex]
Transforming given equation to exponential form:[tex]2400 = 7500(10)^{-x}\\\\ \dfrac{2400}{7500} = 10^{-x}\\\\ 10^{-x} = \dfrac{8}{25}\\\\ -x = log_{10}(\dfrac{8}{25})\\\\ x = -log_{10}(\dfrac{8}{25})\\\\[/tex]
Since log with base 10 is simply written log, thus,
The logarithmic equation that is equivalent to the given exponential function is given by:
Option C: [tex]x = -\rm log(\dfrac{8}{25})[/tex]
Learn more about logarithm here:
https://brainly.com/question/13473114
Sebastian is ordering a taxi from an online taxi service. The taxi charges $3 just for
the pickup and then an additional $0.75 per mile driven. How much would a taxi ride
cost if Sebastian is riding for 10 miles? How much would a taxi ride cost that is m
miles long?
Answer:
10:50
Step-by-step explanation:
Answer:
$10.50 for 10 miles & 0.75m+3 for "m" miles
Step-by-step explanation:
if the taxi charges $3 just for showing up, then in the formula (y=mx+b) 3 would be your "b"
y = mx + 3
if the taxi is charging $0.75 per mile, the mile will be your "x" in the formula, and 0.75 will represent your "m" in the formula
y = 0.75x + 3 - this is your equation for "m" miles
to find how much for 10 miles, substitute 10 for "x" in your formula
y = 0.75 (10) +3
y = 10.50
so it is $10.50 for 10 miles, including the 3 dollar pick up fee.
look at pic and answer (7th math)
Answer:
It's 28 touchdowns
Step-by-step explanation:
Answer:
28 Touchdowns
Step-by-step explanation:
1/4 of 80 is 20
40% of 80 is 32
20+32=52
80-52=28
What is the reference angle for 192°?
A 22°
B. 68°
C. 12°
D. 78°
The required reference angle of angle 192 is 12. OPtion C is correct.
Given that,
An angle of 192°
Reference angle to be determined.
The angle can be defined as the one line inclined over another line.
Angel over angle is of 360° and angle over line is 180°
The function in mathematics to operate and diagnose the function to make the function simple or more coherent is called simplifying and the process is called simplification.
Since in the question, An angle is given of 192° its corresponding and relatable angle is to be determined.
Here, a standard measure of an angle is 180, So let the reference angle b x, for reference angle the angle must be more or less than 180. So,
x = 192 - 180
x = 12
Thus, the required reference angle of angle 192 is 12. Option C is correct.
Learn more about Angles here:
https://brainly.com/question/13954458
#SPJ2
What is the value of x?
u figure out the height by doing the square root of 95.2 - the square root of 34
then u take that # and you do square root of 168 - the square root of the height and that will give u yk
then u add yk +34 and that is x
the height of a hat is shaped like a cone is 10 inches. the volume of thw hat is 30(pi) cubic inches. what is the diameter of the hat?
Answer:
3.38pi
Step-by-step explanation:
Using simple math and the equation for finding the volume of a sphere, we can see that by taking the height of 10, and the volume of 30, that with that information we can deduce that the radius of the cone would be 1.69pi. With this information, we know the radius is half of the diameter. Therefore, we multiply 1.69 by 2, to get our end result, 3.36pi
This table gives a few (2,y) pairs of a line in the coordinate plane.
What is the y-intercept of the line?
Answer:1
Step-by-step explanation:the y is a place holder instead of the digit 1 because there is only one y. Whitch is the same reason why the 2 isn’t 2x because the 2 is a place holder for how many x there are. The problem is showing you how much value each place holders have. (x,y)
The cost of renting a truck is $40. An additional $0.79 is charged for each mile, m, the truck is driven. Which expression can be used to determine the total cost, in dollars, of renting a truck? (EE.2) *
Answer:
c = 40 + 0.79m
Step-by-step explanation:
The base cost is $40.
So we have:
c = 40
Then, since an additional $0.79 is charged for every mile driven, we add:
+ 0.79m
So then our equation is:
c = 40 + 0.79m
where c = total cost
and m = number of miles driven
The Science Club wants to print stickers to promote their club and an interest in science. They got a quote to print the stickers from two printers. Pop Art Printing would charge a $25 setup fee and $0.05 per sticker. Sticky Slogans would charge a $12 setup fee and $0.09 per sticker. Write a system of equations that can be used to find the number of stickers for the cost of both printers to be equal.
Answer:
The system of equations =
25 + 0.05x = 12 + 0.09x
The number of stickers where the cost of both printers to be equal is 325 stickers
Step-by-step explanation:
Let the number of stickers = x
Printer 1
Pop Art Printing would charge a $25 setup fee and $0.05 per sticker.
$25 + $0.05× x
25 + 0.05x
Printer 2
Sticky Slogans would charge a $12 setup fee and $0.09 per sticker.
$12 + $0.09 × x
12 + 0.09x
We equate both equations together
The system of equations =
25 + 0.05x = 12 + 0.09x
Collect like terms
25 - 12 = 0.09x - 0.05x
13 = 0.04x
x = 13/0.04
x = 325 stickers
Therefore, the number of stickers where the cost of both printers to be equal is 325 stickers
x - 2 = -3x +2
what's x?
Answer:
x+3x=2+2
4x=4
x=1
Answer:
x = 1
Step-by-step explanation:
x - 2 = -3x + 2
you can do any one of these 4 steps first and still get the same answer:
a) subtract x from each side
b) add 2 to each side
c) add 3x to each side
d) subtract 2 from each side
after doing one of the above you will have a two-step equation and must undo addition or subtraction before undoing multiplication or division
PLZZZZ HELPPPPP
In your own words, define: point, line, ray, segment, plane.
Answer:
point - a specific spot on the graph
line - a ray with both sides never ending
ray - a line with one side ending
segment - a specific piece of the line
plane - a never ending surface
Step-by-step explanation:
i took geometry last yearish
Solve for y.
6 = 2(y + 2)
y =
Answer: y = 1
Step-by-step explanation: Lets solve for y, step by step!
6 = 2(y + 2)
6 = ( 2 x y + 2 x 2)
6 = 2y + 4
2y + 4 = 6
2y + 4 - 4 = 6 - 4
2y = 2
y = 1
can someone help me with this question here's the question
Answer:
Subtract 60 - 30
= 30
This could help understand the method I used
Answer:
60-30 is 30,B
Step-by-step explanation:
^explanation
how to convert 3500mm into meter
Answer: 3.5 meters
Step-by-step explanation:
First and foremost, we need to note that 1000 millimeters = 1 meter. Therefore, for us to convert 3500 millimeter to meters, we have to divide it by 1000. This will be:
= 3500/1000
= 3.5 meters
Is this correct???????
Answer:
i think its either that or (-5,-5)
