Answer:
x=5
Step-by-step explanation:
If 4x=20 then all we need to do is to divide both sides by 4 and we get x=5. Also, if replace x with 5 within any of the equations it works.
Hope this helps!
The solution is: The value of x is: x=5
Here, we have,
given that,
the expression is: 4x - 8 = 12
we get,
4x - 8 = 12
or, 4x - 8 + 8 = 12 + 8
or, 4x = 20
now, we have,
If 4x=20 then all we need to do is to divide both sides by 4 and we get x=5.
i.e. 4x/4 = 20/4
or, x = 5
Also, if replace x with 5 within any of the equations it works.
Hence, The solution is: The value of x is: x=5
To learn more on Expression click:
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The original price of a play ticket was $36.00. Yolanda bought the ticket at original price and then marked it up 10% and resold the ticket. How
much did she resell the ticket for?
What
Graziano predicted that he would sell 420 tablecloths. He actually sold 520 tablecloths. What are the values of a and b in the table below? Round the answer to the nearest tenth.
Percent Error
Item
Approximate value
Exact value
Error
Absolute error
Ratio
Percent error
Tablecloths
420
520
a
b
a = -100/420; b = -23.8%
a = -100/520; b = -19.2%
a = 100/520; b = 19.2%
a = 100/420; b = 23.8%
Answer
-19.2
Step-by-step explanation:
Answer:
-19.2
Step-by-step explanation:
Yes
Help with number 13. . . . . .
Answer:
6A, D
Step-by-step explanation:
So, you have A = b*h. The general formula for the area of a triangle. Then, we double the base and triple the height. We then get the expression (2b)*(3h).
Since it is multiplication, we can multiply 2 and 3 to get 6 and get 6*b*h.
Though, we know b*h is just A so we get 6A.
Li wants to add these items to her suitcase: a hairdryer (1.25 lb), a hand-held video game (0.6 lb), an extra video game (0.25 lb), and a music player (0.4 lb). Using the inequality x Less than or equal to 2.25, can she add all these items to the suitcase? If not, what could be left out to be closest to the maximum weight allowed? Explain.
Answer:
She will leave an extra video game which weighs 0.25lb
Step-by-step explanation:
Li wants to add these items to her suitcase: a hairdryer (1.25 lb), a hand-held video game (0.6 lb), an extra video game (0.25 lb), and a music player (0.4 lb). Using the inequality x ≤ 2.25, can she add all these items to the suitcase? If not, what could be left out to be closest to the maximum weight allowed?
Solution:
Weight of the items
hairdryer = 1.25 lb
hand-held video game = 0.6 lb
an extra video game = 0.25 lb music player = 0.4 lb
The total weight of the items
= 1.25lb + 0.25lb + 0.6lb + 0.4lb
= 2.5 lb.
Total weight - required weight
= 2.5lb - 2.25lb
= 0.25lb
2.5lb is 0.25lb greater than 2.25lb
Therefore, not all items can be added.
She has to leave out an item equivalent to 0.25lb
Item equivalent to 0.25lb is the extra video game
If Li leaves out the extra game, which weighs 0.25 lb, she’d have the maximum weight allowed.
Answer:
The total weight of the items is 1.25 + 0.25 + 0.6 + 0.4 = 2.5 lb. 2.5 is 0.25 greater than 2.25, so not all the items can be added. If Li leaves out the extra game, which weighs 0.25 lb, she’d have the greatest possible weight allowed.
Step-by-step explanation:
What is the equation of the ine that has a slope of 4 and passes through the point (3, -10) ?
Answer:
The answer is
[tex] \huge y = 4x - 22[/tex]
Step-by-step explanation:
To find an equation of a line given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question the point is (3, -10) and the slope 4
We have
[tex]y + 10 = 4(x - 3) \\ y + 10 = 4x - 12 \\ y = 4x - 12 - 10[/tex]
We have the final answer as
[tex]y = 4x - 22[/tex]
Hope this helps you
Answer:
y+10=4(x-3) in point-slope form
Step-by-step explanation:
In point-slope form, this is how you will write out the equation. Point slope form is y-y1=m(x-x1). You substitute the values in order to get this equation.
Which division problem does the number line below best illustrate?
A number line going from 0 to 2 in increments of 0.2.
2 divided by one-fifth = 10
1 divided by one-fifth = 10
2 divided by one-tenth = 5
1 divided by one-tenth = 5
Answer:
A
Step-by-step explanation:
Hope this helps!!!!!!!!!!!!!!!!!!:)
Answer:
is it C OR A
Step-by-step explanation:
A student solved the equation below using the steps shown, rounding to two decimal places if necessary.
which step contains the first mistake ?
A. step 2
B. step 1
C. step 3
D. step 4
Answer:
Step 1
Step-by-step explanation:
√600 and ∛56 and show work
Answer:
√600 is around 24.5 while ∛56 is around 3.83
Step-by-step explanation:
Method: TRIAL AND ERROR
For √600, we can follow trial and error method:
30^2 is 900, so too big
20^2 is 400, so too small
25^2 is 625, too big
24^2 is 576, too small
Considering that 600 is between 24^2 and 25^2, we can try in between:
24.5^2 is 600.25, which is very close, therefore 24.5 is the answer
For ∛56, we can also follow trial and error method:
5^3 is 125
4^3 is 64
3^3 is 27
Considering that 56 is somewhere between 3^3 and 4^3, and that it's much more closer to 4^3, we can try 3.6^3, which is: 46.656;
3.7^3 is 50.6
3.8^3 is 54.8
3.9^3 is 59
3.85^3 is 57
3.84^3 is 56.6 (still larger)
3.83^3 is 56.1
So the answer is 3.83
But the method above works when using calculator, best for a calculator exam. If calculator is not allowed, you can find the difference between the two possible answers (e.g: 27 and 64 (3^3 and 4^3) following the above, to find out ∛56.) Of course, 56 is much nearer to 4^3, so we can assume that the answer is around 3.8.
Hope this helped. :)
~ Janice, year 10
2hr+20min+60sec are equal to _____ minutes
It is correct
Solve: −3(k − 2) = −2
Answer:8/3
Step-by-step explanation:divide both sides by -3 2 negative make a positive add 2 to both sides simplify 2/3 +2 to 8/3
Answer:
The answer is
[tex] \huge \boxed{k = \frac{8}{3} } \\ [/tex]
Step-by-step explanation:
[tex]−3(k − 2) = −2 [/tex]
Expand the terms in the bracket
That's
[tex] - 3k + 6 = - 2[/tex]
Subtract 6 from both sides of the equation
We have
[tex] - 3k + 6 - 6 = - 2 - 6 \\ - 3k = - 8[/tex]
Divide both sides by - 3
[tex] \frac{ - 3k}{ - 3} = \frac{ - 8}{ - 3} \\ [/tex]
We have the final answer as
[tex]k = \frac{8}{3} \\ [/tex]
Hope this helps you
A fish population, p, can be represented by the equation p = 800 . 1/2 where t is time in years since the beginning of 2015. What was the fish population at the beginning of 2012? A. 100 B. 800 C. 2,400 D. 6,400
Answer:
D. 6,400
Step-by-step explanation:
I got it right
The fish population at the beginning of 2012 is 100.
GivenA fish population, p, can be represented by the equation;
[tex]\rm P =800 \left (\dfrac{1}{2} \right)^t[/tex]
Where t is time in years since the beginning of 2015.
How to determine the population at the beginning of 2012?The expression represents the number of population in the year 2015 so first take the difference between the year 2015 and 2012 which is 3 then substitute the 3 in the given equation and solve.
The difference between year 2015 and 2012 is;
t = 2015 - 2012 = 3
Substitute the value of t in the equation
[tex]\rm P =800 \left (\dfrac{1}{2} \right)^t\\\\\rm P =800 \left (\dfrac{1}{2} \right)^3\\\\P = 800 \times \dfrac{1}{8}\\\\P = 100[/tex]
Hence, the fish population at the beginning of 2012 is 100.
To know more about Equation click the link given below.
https://brainly.com/question/17142975
A car's gas tank, which can hold 14 gallons of gas, contains 4 gallons of gas when the driver stops at a gas station to fill the tank. The gas pump dispenses gas at a rate of 5 gallons per minute. The equation g = 5t + 4 gives the number of gallons of gasoline g in the tank as a function of the pumping time t(in minutes).
Answer:
2minutesStep-by-step explanation:
Since the expression for the amount of gas in the tank is given as
g = 5t + 4
we already know that g=14 which is the capacity of the tank
so let us put g=14 we have
14=5t+4
solving for t, which is the time taken to fill up the tank that already has 4 gal already we have
14=5t+4
14-4=5t
10=5t
t=10/5
t=2min
Therefore the time taken to fill the tank is 2minutes
PLEASE HELP, GIVING BRAINLIEST!!!
These triangles are congruent by _____.
A. ASA
B. AAS
C. SSS
D. Not enough information
E. None of these
Answer:
A. ASA
Step-by-step explanation:
There are two angles and sides marked as congruent\
The angles in the middle are congruent by the Vertical Angles Theorem
They have congruent side with congruent angles adjacent so it's Angle Side Angle
Enter the slope-intercept equation of the line that has -2 and y-intercept (0,7)
its due in 20 min pls help me
Answer:
should be 1
Step-by-step explanation:
its constant meaning its an exact slope
and it runs through intersections every 1-1
so the answer is 1 because 1 over 1 in a fraction is still 1
the slope is positive because as you move to the right, the graph goes up
the slope is rise/run = 3/3 = 1
the slope of the line is 1
hope this helps!
5y-30=-5y+30 and also can you show the steps :}
5y-30=-5y+30
add 30 to both sides
5y = -5y+60
add 5y to both sides
10y = 60
divide both sides by 10
y = 6
hope this helps!
i'm in a math test and i need help what is 1 + 1
44 kg of tomatoes cost $352. How many
kilograms of tomatoes can you get with
$216?
Answer:
27 tomatoes
Step-by-step explanation:
Answer:
27kg
Step-by-step explanation:
352 divided by 44 equals 8. 216 divided by 8 equals 27. So 27 times 8 equals 216. Therefore 216 dollars will get you 27 kg of tomatoes.
please help, and it’s ok if you don’t understand it or get it wrong, please don’t feel guilty ^-^
Answer:
i think its 4.5
Step-by-step explanation:
prove that theta=l/r radian
is 1.908x10 to the 17 power scientific why or why not
Answer:
Yes, because the beginning number has to be between 1 and 10. If there is a 10 in the ones place, move the decimal to the left and increase the power.
1. Miles and Simon do chores to earn an allowance from their parents. Miles has $120 saved and gets a $10 allowance per week. His brother Simon has $75 saved but he does more chores so he gets $15 a week. What is the solution and how did you find it?
How long will it take for them both to have the same amount saved?
How much will they both have when they have the same amount?
Answer:
120 +10w = 75 + 15w, w=weeks, found by adding savings to rate times and unknown variable of weeks and setting equal to each other. 9 wks, $210
Step-by-step explanation:
120 +10w = 75 + 15w
120-75= - 10w+15w
45=5w
45/5=9
9 weeks
120 + 90 = 75 + 135
210= 210
What is the SLOPE-INTERCEPT form of the line that passes through the
points (-4,-1) and (3, 2.5). Make sure to choose (X1, Y1) and (x2, Y2)
carefully. Be CAREFUL with your calculations.
3-4 what is the answer I am dumb plz helq
Answer:
Its -1. Do not call yourself dumb, though, negatives are the easiest subject
Step-by-step explanation:
Please please please please please help
Answer:
2.68
Step-by-step explanation:
How can I turn this into a graph in Desmos,
Answer:
in Desmos there should be a plus sign right above the list of your equations on the left side. Click that plus sign and then click "table". then enter your numbers. then your points will be shown on the graph
to turn this into a line long press on the button next "y" on the table you have made, then select "lines"
Answer:
you go to desmos and you go to the left side of the website. choose which graph you want to do. if you want to use a regression line graph, or anything else. lmk if you need help
Step-by-step explanation:
Write the linear equation in slope intercept form y-2=1/2(x+4)
Answer:
y = 1/2x + 4
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Define
Point-slope form; y - 2 = 1/2(x + 4)
Step 2: Rewrite
Distribute 1/2 to both sides: y - 2 = 1/2x + 2Add 2 to both sides: y = 1/2x + 4Answer:
y=1/2x+4
Step-by-step explanation:
y-2=1/2(x+4)
(distribute the 1/2)
y-2=1/2x+2
(add 2 to both sides)
y=1/2x+4
An eagle takes off from the top of a cliff that is 125 meters high and flies upward. After t seconds, the height at which the eagle is flying is given by the equation h(t) = 125 + 1.25t2 where t is in seconds. Find the instantaneous velocity of the eagle at t = 3 seconds. Round your answer to one decimal place.
Answer:
The instantaneous velocity of the eagle at the given time is 7.5 m/s.
Step-by-step explanation:
Given;
height of the cliff, h = 125 m
the height at which the eagle is flying, h(t) = 125 + 1.25t²
The velocity of the eagle is given by;
v = dh/dt
v = 2.5t
The instantaneous velocity of the eagle at t = 3 seconds is given by;
v = 2.5(3)
v = 7.5 m/s
Theerefore, the instantaneous velocity of the eagle at t = 3 seconds is 7.5 m/s.
The heights of six students Aaron, Betty, Carrie, Dan, Evelyn and Frank are 58 inches, 60 inches, 63 inches, 64 inches, 68 inches and 69 inches. Carrie is 4 inches shorter than Aaron. The girls (Betty, Carrie and Evelyn) are the three shortest students. Dan is one inch shorter than Frank. Betty is the shortest student. What is the sum of Frank’s height and Evelyn’s height, in inches?
Answer: 132
Step-by-step explanation: I think it is 132 because C + 4 = A, D + 1 = F, and B is shortest. so the order is FDAECB with Frank at 69 and Evelyn at 63. Carrie has to be at 60 because Aaron, who is 64, is 4 inches taller than Carrie. So, when you add 69 and 63 together, you get 132. Also just to check, Dan, who is 68, is one inch shorter than Frank, who is the tallest. This is only true because the girls are the youngest.
Answer:
132
Step-by-step explanation:
I did it on a Mathcounts competition
v=u + at
u= 2
a= -5
te
Work out the value of v.
Answer:
Time taken=Velocity/acceleration
=2/5
=0.4
v=2-(-5×0.4)
=4
The value for v is 4
Answer:
v=u+at
so, u=2
a=-5
t=(not given/e)
so, v=2+(-5)(N.G/e)
v=2-5(N.G./e)