Lucy works as a tutor for $7 an hour and as a waitress for $12 an hour. This month, she worked a combined total of 86 hours at her two jobs.
Lett be the number of hours Lucy worked as a tutor this month. Write an expression for the combined total dollar amount she earned this month.
==========================================================
Explanation:
t = number of hours she worked as a tutor86-t = number of hours she worked as a waitressThe two expressions mentioned add to 86, to indicate the total number of hours for both jobs combined.
7t = amount earned as a tutor12(86-t) = amount earned as a waitressWe multiply the number of hours by the wage per hour to get the amount earned per job.
Lastly, we add those two subtotals to get the grand total earned
7t + 12(86-t)
Optionally you can distribute the 12 through and combine like terms. I'll leave it like this because I think it's more descriptive to show the two amounts earned from each job.
If you wanted to simplify 7t+12(86-t), then you would get 1032-5t or -5t+1032
There is no options, just a box to type in your answer. PLEASE HELP!!!! 50 POINTS AND BRAINLIEST TO CORRECT ANSWER!!!!!!!!!
Answer:
16.4 TRUST ME
Step-by-step explanation:
Mark as brainliest
Simplify using the laws of exponents.
[2⁴/2³]⁵
To know this answer we need to know how to solve it. Many people skip this part which makes their answer wrong.
It is asking us to simplify it using exponents.
Exponents are these little numbers beside a big number Telling it how much you multiply it by.
EXAMPLES
2^3 is just 2x2x2
2^4 is just 2x2x2x2
Notice the pattern? I hope so!
Now 2 to the power of 4 is 16. Our new equation looks like this
{16/2^3}^5.
Now 2 to the power of 3 is 8.
So, our new equation is
{16/8}^5
In which you get 2^5 which is just 2x2x2x2x2
And you get 32 as the final answer
I hope this helped and if you have questions just tell me!!
A map of a nature park has a scale of 2 inches to 1.5 miles. There are two trails that are 8 inches apart on the map. What is the actual distance between the two trails?
Answer:
6 miles
Step-by-step explanation:
2 inches : 1.5 miles
8 inches : 4(2 inches)
8 inches : 4(1.5 miles)
8 inches : 6 miles
6 miles away
-Chetan K
The actual distance between the two trails is 6 miles.
Given the scale of the map is 2 inches to 1.5 miles, we can set up a proportion to find the actual distance between the two trails.
Let x represent the actual distance between the trails in miles. The proportion would be:
(2 inches / 1.5 miles) = (8 inches / x miles)
Now, solving for x:
2/1.5 = 8/x
Cross-multiplying:
2x = 1.5 × 8
2x = 12
Divide by 2:
x = 6
So, the actual distance between the two trails is 6 miles.
Learn more about proportion here:
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-3x + 4y = -15 and 4x - y = -19
4x - y = -19
=> -3x + 4y = -154(4x - y) = 4(-19)
=> -3x + 4y = -1516x - 4y = -76
=> 13x = -91=> x = -7Now, let's substitute the 'x' value in the equation.
=> -3(-7) + 4y = -15=> 21 + 4y = -15=> 4y = -21 - 15=> 4y = -36=> y = -9Conclusion:Therefore, the answers are:
x = -7y = -9Hoped this helped.
[tex]BrainiacUser1357[/tex]
Answer:
(-7, -9).
( x = -7 and y = -9)
Step-by-step explanation:
-3x + 4y = -15
4x - y = -19
Multiply second equation by 4:
16x - 4y = -76
Add this equation to the first to eliminate y:
13x = -15 + -76
13x = -91
x = -7.
Substitute this into equation 2:
4(-7) - y = -19
-y = -19 + 28
-y = 9
y = -9.
5/3 x 9/10 = Simplify using magic numbers such as 2,3,5,7
Answer:
45/30
Step-by-step explanation:
(789+890)=(2992) answer it and i give u a taco
Answer:
False
Step-by-step explanation:
789+890 = 1679
Answer:
789+890+1313=2992
Step-by-step explanation:
A tin of biscuits contains shortbread and choc-chip biscuits in the ratio 2:3 . The tin contains 80 biscuits. How many short-bread biscuits are there in the tin?
Answer:
32
Step-by-step explanation:
There are 80 biscuits inside the tin.
Also, they said that those biscuits are in the ratio
Short bread : Choc - chip
2 : 3
Altogether there are 5 shares ( 2 + 3)
And now you can divide 80 by 5 to find how many biscuits contain per a share.
80 ÷ 5 = 16
In the question, they asked us to to find the number of short biscuits inside the tin.
Let us find that.
There are 2 shares for short bread biscuits.
So,
Number of short biscuits ⇒ 2 × 16
⇒ 32
Hope this helps you :-)
in a class of 33 student 18 play football 1"basketball and 7 play both games how many students play non of the games
Answer:
20
Step-by-step explanation:
I'm pretty sure its 20 but I could be wrong but 20 is my best guess.
Answer:
16 of the 33 plays none.
Step-by-step explanation:
From the list, we get that 18 students play football, 1 basketball, and 7 both.
What we need to do here is add up 18 and 1
then we subtract 19 by 7 to cancel out the people who play both
and then subtract the total number of 33 by 17,
which gives you 16.
Will mark brainliest if you can resolve this problem ( 2 possible answers, NO LINKS OR ANSWERS WITHOUT EXPLANATION)
I can give u the permission of drawing the boxplot by:
- saving the picture or screenshot it ( it's better to screenshot it (Windows+ Logo+Shift+s) )
- drawing the answer on the screenshot Windows
- save the picture (Ctrl+s)
- and finally send it to brainly
(P.s: many people (those who are good at I.T) will argue with the procedure of doing the answer. But many people don't. So I gave the procedure step-by-step to you to show me the working) Thx
Here's the picture:
Answer:
Hopefully this is what you are looking for.
Step-by-step explanation:
Hope this helps!
go follow its datgurlmaribel
Step-by-step explanation:
what is this........???
There are 20 marbles in a bag. 1/5 are red and others are blue. What is the ratio of red to blue marbles
Answer:
4:16 or 1:4
Step-by-step explanation:
1/5 of 20 = 4
there are 4 red marbles
there are 16 blue marbles
4:16 or 1:4
Answer:
1/5 to 4/5
Step-by-step explanation:
I took this quiz befrore and got a 100
26=7(g−9)+1226, equals, 7, left parenthesis, g, minus, 9, right parenthesis, plus, 12
(I need these answered asap and with work and explanation included)
Answer:
blue marbles - 2/9. red marbles - 3/9 = 1/3 clear marbles - 4/9. Davis got a 2/9 chance and Tessa got a 2/8 or 1/4 chance. I don't know about the last question. it might be 5/9 but I don't know sorry.
twice a number x, minus 16
Answer:
[tex]\huge\boxed{\sf 2x - 16}[/tex]
Step-by-step explanation:
twice a number x = 2x
minus means to subtract (-)
So, twice a number minus 16 is:
= 2x - 16
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Hey there!
Our unknown number is x.
First, "twice x" means we multiply x by 2:
2x
Then, we subtract 16:
2x-16
Therefore, the expression is: 2x-16
Hope this helps. Use the comment section to clarify your doubts.
Answered by
~A teen who helps others with a smile on her face
Good luck with your studies. :-)
I WILL GIVE BRAINLIEST Hey can someone tell me simply HOW to come to this conclusion? im a bit confiused as to how, dont want to cheat i want to learn. (P.S ive missed multiple grades which has left me with alot of gaps to fill.)
Answer:
(b) x +2y = 8
Step-by-step explanation:
There are at least a couple of ways to come to the conclusion.
1) use the given information to write the equation of the desired line
2) check to see which of the answer choices satisfies the requirement
__
1)The given line has two specified points on it. These can be used to find its slope. (Or, you can count grid square to see it has a rise of -1 for a run of +2.)
The slope formula is ...
m = (y2 -y1)/(x2 -x1)
m = (-4 -0)/(4 -(-4)) = -4/8 = -1/2
Comparing this to our grid square count, we see they are the same:
m = rise/run = -1/2
Now, we have a slope (-1/2) and a point (2, 3), so we can use these to write the point-slope equation of the desired line:
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
y -3 = -1/2(x -2) . . . . . point-slope equation of the desired line
y -3 = -1/2x +1 . . . . . . eliminate parentheses
1/2x +y = 4 . . . . . . . . add 1/2x +3 to both sides
x +2y = 8 . . . . . . . . . multiply by 2
__
2)Perhaps easier in this case is to try the given equations to see which is satisfied at the given point. There are two different left-side expressions to evaluate at the point (x, y) = (2, 3):
x +2y = (2 +2(3)) = 2+6 = 8
2x +y = 2(2) +3 = 4 +3 = 7
Only the equation ...
x +2y = 8
is satisfied at the given point.
_____
Additional comments
While I encourage you to learn to solve questions like this "from scratch", modern math curriculum is often "multiple choice."
When faced with multiple choices for answers, it is often easiest to ...
(a) eliminate the ones that are not self-consistent or that are false on their face;
(b) eliminate the ones that have an obviously fatal flaw (wrong sign of slope, too large or too small, for example);
(c) choose from the remaining ones the one that properly answers the question (satisfies all requirements).
__
When you solve a standard-form equation for y, you get ...
ax +by = c
by = -ax +c
y = -a/bx +c/b
That is, the slope of the line is -a/b.
For the two left-side expressions in the answer choices, the slopes are ...
x +2y ⇒ slope = -1/2
2x +y ⇒ slope = -2/1 = -2
The scales on the graph are the same in the x- and y-directions, so the shallow negative slope of the given line is clearly less than 1. That eliminates the last two answer choices already.
Drag steps of the solution into order to solve for x in the equation 6(x-5) = 54
A. 6x – 30 = 54
B. 6x = 84
C. 6x = 24
D. x = 14
I need to figure out what order to put these in to get the answer I can only use three!
The steps of the solution into order to solve for x in the equation 6(x-5) = 54 are:
A. 6x – 30 = 54 B. 6x = 84 D. x = 14Given the expression 6(x-5) = 54
Expand the expression in parenthesis using the distributive law;
6x - 6(5) = 54
6x - 30 = 54
Add 30 to both sides
6x - 30 + 30 = 54 + 30
6x = 84
Divide both sides by 6
6x/6 = 84/6
x = 14
Therefore the steps of the solution into order to solve for x in the equation 6(x-5) = 54 are:
A. 6x – 30 = 54 B. 6x = 84 D. x = 14Learn more on equations here; https://brainly.com/question/2972832
work out the perimeter of this semicircle the radius is 11cm take π to be 3.142 and write down all of the digits given by your calculator
The answer is 34.54 cm
What is the area and circumference of a circle?The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.
Given here: Radius=11cm
Thus circumference of the semi-circle is = πr
=3.14×11
=34.54 cm
Hence, The answer is 34.54 cm
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2 1/3 divided by 1 1/5 what is the answer as a fraction or mixed number in simplest form?
Answer:
1.9444444 is the answer or 35/18
Step-by-step explanation:
Answer:
10/3 or 3 (1/3)
Step-by-step explanation:
I used a calculator sorry i don't know how to explain it
Line ST and point V are shown on the graph. On a coordinate plane, line S T goes through (negative 5, 0) and (5, 2). Point V is at (0, negative 2). Line VW is to be drawn on the graph such that it is perpendicular to line ST. If the coordinates of point W are (â’1, y), what is the value of y? â’7 â’5 2 3.
The value of y in the coordinates of point W is 3
The points are given as:
[tex]S = (-5,0)[/tex]
[tex]T = (5,2)[/tex]
[tex]V = (0,-2)[/tex]
[tex]W = (-1,y)[/tex]
Start by calculating the slope of line ST
[tex]m=\frac{y_2 - y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m=\frac{2- 0}{5--5}[/tex]
[tex]m=\frac{2}{10}[/tex]
[tex]m=\frac{1}{5}[/tex]
Next, calculate the slope of line VW
[tex]m=\frac{y_2 - y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{y --2}{-1-0}[/tex]
[tex]m = \frac{y +2}{-1}[/tex]
[tex]m = -y -2[/tex]
Since both lines are perpendicular, then the product of the slopes is -1.
So, we have:
[tex]\frac 15 \times (-y -2) = -1[/tex]
Divide both sides by -5
[tex]y +2 = 5[/tex]
Subtract 2 from both sides
[tex]y = 3[/tex]
Hence, the value of y in the coordinates of point W is 3
Read more about line coordinates at:
https://brainly.com/question/2037439
Answer:
W=3
Step-by-step explanation:
Someone please help no need to show work just answer (I will give brainliest)
Answer:
image 1 : 3.78
image 2 : 10.20
Step-by-step explanation:
I haven't done geometry in a bit but I'll try to help!
Is the slope of AC the same as the slope of DF? Explain
Answer:
yes
Step-by-step explanation:
because df is -2/3 and ac is -6/9 which is the same as -2/3
Julie counts the cars passing her house, and
finds that 2 of every 5 cars are foreign. If she
counts for an hour, and 60 cars pass, how
many
of them are likely to be domestic?
a. 12 cars
b. 24 cars
C.30 cars
d. 36 cars
Write these numbers from least to greatest 0.152 0.152 0.132 0.140 01212 0.1412 0.150 0.148
Step-by-step explanation:
0.1212 < 0.132< 0.140 < 0.1412 <0.148 <0.150 < 0.152
Xavier's living room is rectangular and measures 3 meters by 3 meters. Beginning in one
corner, Xavier walks the length of his living room and then turns and walks the width. Finally,
Xavier walks back to the corner he started in. How far has he walked? If necessary, round to
the nearest tenth.
Solve.
4 Joe solved (2x + 4) > 2(2x + 8) + 1 as shown at the
right. What error did Joe make? Solve the inequality.
(8)
Answer:
Step-by-step explanation: 2x+4+=
Does anybody know what Savvas is? cause I don't know the answer to 6.4 x 3.7 can anybody help.
Answer: I'm not sure what Savvas is, but the answer to your second question is 23.68.
Step-by-step explanation: This can be solved using the stacking method of multiplication, like so:
6.4
x3.7
You would multiply this equation as if there are no decimals, (first doing 7x4, and then 7x6 + 2, then adding a zero to your ones place at the bottom, and doing 3x4, the 3x6 + 1), to get 2348. You then would add the decimals in by moving over 2 places to the left.
A 24 foot flagpole casts a 20 foot shadow of the building next to it is an 85 foot shadow find the height of the building
Answer: 102 foot / feet tall
Step-by-step explanation:
First, we have to find the unit rate . . . what is 24 divided by 20 ? 1.2/1
Second, multiply . . . what is 1.2 x 85 ? 102
( sorry if this is wrong - I forgot how to do the second part for a sec )
Sally's bank account has $650 in it. Every week, Sally withdraws $50 to pay for her dog sitter.
What is the maximum number of weeks that Sally can withdraw the money so there is at least $75
remaining in the account?
Write and solve an inequality to find the solution.
Answer:
11 weeks
Step-by-step explanation:
If we multiply 50 by 11 we get 550 with a remainder of 100, if we're to take out another 50 for another week we would have 50 dollars remanding but the question says that we need to have at least 75 remaining so this will not be possible. Therefor 11 weeks is our answer.
I hope this helps have a great day :)
please help,I WILL GIVE BRAINLIEST.
Ben participated in a race. During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours. During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. What equation could you write to solve for the number of hours Ben ran during each half of the race? Let y represent the number of miles in half the race. Write two equations, one for the first half of the race and one for the second half. How could you transform these two equations to be the same as the original equation you wrote to solve for x? What do you think this means about solving for the variables in a situation represented by two equations?
Answer:
During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours.y = 5x + 3
During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. y = 5.5x + 2
Then using both equations will be:
y = 5x + 3
y = 5.5x + 2
Subtract the equations
0.5x = 1
x = 1/0.5 = 2
Therefore, the value of y will be:
y = 5x + 3 = 5(2) + 3 = 13