Answer:
y = (7x-2)/5Step-by-step explanation:
Given the expression 7x-5y = 2, we are to write y in terms of x. to do that, we will have to make y the subject of the formula from the given expression as shown;
7x-5y = 2
subtract 7x from both sides of the equation
7x-5y-7x = 2-7x
-5y = 2-7x
Multiply through by minus sign
-(-5y) = -(2-7x)
5y = -2+7x
5y = 7x-2
Divide both side by 5;
5y/5 = (7x-2)/5
y = (7x-2)/5
Hence the expression y as a function of x is given as y = (7x-2)/5
WILL GIVE BRAINLIEST WORTH THIRTY POINTS! Find a so that CD will have the given slope: a) C(5,−2), D(−4,a); m=0 b) C(a,–1), D(–3,2); m=undefined c) C(–3,–2), D(1,a); m=2
The value of a for the equation of line CD are;
a) a = -2b) a = -3c) a = 6Given the following data:
a) C(5, -2), D(-4, a); m = 0
Point on x-axis ([tex]x_{1}, x_{2}[/tex]) = [tex]5, -4[/tex]Point on y-axis ([tex]y_{1}, y_{2}[/tex]) = [tex]-2, a[/tex]Slope, m = 0To find the value of a;
Mathematically, the slope (m) of an equation of line is given by the formula;
[tex]Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Substituting the values into the formula, we have;
[tex]0 = \frac{a - [-2]}{-4 - 5}\\\\0 = \frac{a\; + \;2}{-9}[/tex]
Cross-multiplying, we have;
[tex]-9[/tex] × [tex]0[/tex] = [tex]a + 2[/tex]
[tex]a +2 = 0[/tex]
a = -2
b) C(a, -1), D(-3, 2); m = undefined
Point on x-axis ([tex]x_{1}, x_{2}[/tex]) = [tex]a, -3[/tex]Point on y-axis ([tex]y_{1}, y_{2}[/tex]) = [tex]-1, 2[/tex]Slope, m = undefinedTo find the value of a;
Note: Undefined is a terminology used to refer to a mathematical expression that has not been assigned a value or isn't correct. Also, a mathematical expression is considered to be undefined when its denominator is zero (0) i.e it is divided by zero (0).
Substituting the given values into the slope formula, we have;
Undefined [tex]= \frac{2 - [-1]}{-3 - a}[/tex]
Undefined [tex]= \frac{2 + 1}{-3 - a}[/tex]
Next, we would equate the denominator to zero (0);
[tex]-3 - a = 0[/tex]
a = -3
c) C(-3, -2), D(1, a); m = 2
Point on x-axis ([tex]x_{1}, x_{2}[/tex]) = [tex]-3, 1[/tex]Point on y-axis ([tex]y_{1}, y_{2}[/tex]) = [tex]-2, a[/tex]Slope, m = 2Substituting the values into the formula, we have;
[tex]2 = \frac{a - [-2]}{1 - [-3]}\\\\2 = \frac{a\; + \;2}{1 \;+ \;3}\\\\2 = \frac{a\; + \;2}{4}[/tex]
Cross-multiplying, we have;
[tex]4[/tex] × [tex]2[/tex] = [tex]a + 2[/tex]
[tex]a +2 = 8[/tex]
[tex]a = 8 -2[/tex]
a = 6
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find the total pay for the week $12.50 per hour time and a half for sunday hours worked day must be rounded to the nearest quarter hour.
Answer:
$392.19
Step-by-step explanation:
I find it less tedious to write equations in a spreadsheet than to do the arithmetic by hand.
Morning time and afternoon time are found by subtracting the start time from the end time. Then the time for the day is found by adding the morning and afternoon shift hours.
Rounding to the nearest quarter hour can be done a couple of ways. In a spreadsheet, you multiply hours by 4, round to an integer, then divide that integer by 4 to get the rounded hours. (In a spreadsheet, hours are 1/24 of a day. When the hours:minutes are converted to decimal, you get a number of days. To make hours again, you need to multiply that by 24.)
Of course, hours are multiplied by $12.50 to get pay for all days but Sunday. For Sunday, that product is again multiplied by 1.5 for "time and a half."
The total pay is $392.19.
I need help please it’s really hard and I don’t understand it
The line segment HI has length 3x - 5, and IJ has length x - 1.
We're told that HJ has length 7x - 27.
The segment HJ is made up by connecting the segments HI and IJ, so the length of HJ is equal to the sum of the lengths of HI and IJ.
This means we have
7x - 27 = (3x - 5) + (x - 1)
Solve for x :
7x - 27 = (3x + x) + (-5 - 1)
7x - 27 = 4x - 6
7x - 4x = 27 - 6
3x = 21
x = 21/3
x = 7
what is f(g(13)) ? A mapping diagram is shown.
Answer:
im about 90% sure its 32
Step-by-step explanation:
i’m bad at math. this is right?
Answer: B
Step-by-step explanation:
The converse means X --> Y , so Y --> X.
In other terms, you just need to reverse the terms and review that it turns out correct. In answer B, it does that just right.
Answer:
It should be the second one.
Step-by-step explanation:
Converse is just switching the hypothesis and conclusion, or the "if... then..." portion of the conditional.
Round 491,778 to the nearest hundred
Answer:
491,800!
Step-by-step explanation:
Rounding 491,778 to the nearest hundred we get 491,800 as our answer.
Given,
491,778
We need to round 491,778 to the nearest hundred.
What is the place value of a given number?The different place value is given below:
Example: 468975
4 - hundred thousands
6 - ten thousands
8 - thousands
9 - hundreds
7 - tens
5 - ones
Which number 491,778 is in the hundred place value.
= The number 7 in 491,778 is in the hundred place value.
Round 491.778 to its nearest hundreds.
= 491,778
Since 7 is in the hundred place value we need to round 778 to its nearest hundred.
It is either 700 or 800.
Since 778 is greater than or equal to 750.
We will round it to 800.
491,800 is our answer.
Thus rounding 491,778 to the nearest hundred we get 491,800 as our answer.
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Question 1
Elena, Lin, and Noah all found the area of Triangle Q to be 14 square units but
reasoned about it differently, as shown in the diagrams. Explain at least one student's
way of thinking and why his or her answer is correct.
Q
Lin
Elena
Q
Noah
Answer:
For Lin's answer
Step-by-step explanation:
When you have a triangle, you can flip it along a side and join that side with the original triangle, so in this case the triangle has been flipped along the longest side and that longest side is now common in both triangles. Now since these are the same triangle the area remains the same.
Now the two triangles form a quadrilateral, which we can prove is a parallelogram by finding out that the opposite sides of the parallelogram are equal since the two triangles are the same(congruent), and they are also parallel as the alternate interior angles of quadrilateral are the same. So the quadrilaral is a paralllelogram, therefore the area of a parallelogram is bh which id 7 * 4 = 7*2=28 sq units.
Since we already established that the triangles in the parallelogram are the same, therefore their areas are also the same, and that the area of the parallelogram is 28 sq units, we can say that A(Q)+A(Q)=28 sq units, therefore 2A(Q)=28 sq units, therefore A(Q)=14 sq units, where A(Q), is the area of triangle Q.
The reason is while computing the area is found to be 14 square units.
What is area of triangle?The area of Triangle = 1/2* base * height
given:
assumed area to be 14 square units
We will take the case of Elena
In figure the base = 7 units
height = 4 units
Area of triangle
=1/2*base*height
=1/2 * 7 * 4
=7*2
=14 square units
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At the PNE. On Friday night 2,950 people attended the monster truck show. On Saturday night, 3,159 people attended. In the stadium seats 4,000 people, how many empty seats were there for the two nights?
Please show how u get the answer!
Help fast
Answer:
1891 empty seats.
Step-by-step explanation:
for night 1: 4000- 3159= 841.
for night 2: 4000- 2950= 1050.
1050+841= 1891.
there were 1891 empty seats for the two nights.
Today, you worked from 7am to 4pm. The state you live in requires that you take a 30-minute break during any shift longer than 6 hours. This break does not count towards your hours. How many hours did you work today? Remember, 30 minutes is equal to .5 hours.
Answer:smbhaISHBIA
Step-by-step explanation:
ahbkjbajbsx
Story Problem
Joseph's lunch at a restaurant costs $13.00, without tax. He leaves the
waiter a tip of 15% of the cost of the lunch, without tax. What is the total cost
of the lunch, including the tip, without tax?
To simplify an expression means to ensure there are no parentheses and no like
terms.
True
Or
False
Answer:
True, there you go! hope it helps! Please vote Brainliest!
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
To simplify an expression means to ensure there are no parentheses and no like terms.
PLEASE HELP!!!!!!!
What is the absolute value of |-1||?
Use this number line to determine the absolute value.
t
-2
0
wint
win
1
3
-3
WIN+
2
3
Answer:
The answer is 1 ⅓
Step-by-step explanation:
Anything in an absolute value whether negative or positive will always end up being a positive
1. IV+61-6=6
Solving absolute value?
Answer:
[tex]\frac{ -49i − 49v }{iv}[/tex]
Step-by-step explanation:
v= −49
i= −49
Kendall scored 3 times as many points as Abdul scored in a basketball game. Otis scored 5 more points than Abdul scored. The three players scored 45 points all together. How many points did each player score?
Answer:
Kendall: 24
Abdul: 8
Otis: 13
explanation:
24 is 3x more than 8 and 13 is 5 greater than 8
Answer: Kendall: 24 points; Abdul: 8 points; Otis: 13 points
Step-by-step explanation:
K= 3A
O= A = 5
O + A + K = 45
Find the LCM of 30 and 22. LCM = ___a0
Answer:
The answer would be 330:)
Step-by-step explanation:
How to Find LCM by Listing Multiples :
List the multiples of each number until at least one of the multiples appears on all lists
Find the smallest number that is on all of the lists
This number is the LCM
RLY hope this helps:) If so, can I have brainliest?
Answer:
The LCM of 30 and 22 is 330
Step-by-step explanation:
22 x 15 = 330
30 x 11 = 330
Dimensional Analysis How many seconds old are you if your 16 yrs old? show work
Answer:
504,576,000
Step-by-step explanation:
16 years x 365 days x 24 hours x 60 minutes x 60 seconds = 504576000
Suppose that you take 300 mg of an antibiotic every 6 hr. The half-life of the drug is 6 hr (the time it takes for half of the drug to be eliminated from your blood). Use infinite series to find the long-term (steady state) amount of antibiotic in your blood exactly.
Answer:
1200000
Step-by-step explanation:
Esun as ma
The endpoints of RS are R(−4,3) and S(16,18). Complete each statement using a fraction.
a. (8,12) is the point ___ of the way from R to S.
b. (0,6) is the point ___ of the way from R to S.
Answer:
a) (8,12) is the point [tex]\frac{3}{5}[/tex] of the way from R to S, b) (0, 6) is the point [tex]\frac{1}{5}[/tex] of the way from R to S.
Step-by-step explanation:
Let be [tex]X[/tex] a point in the line between endpoints [tex]R[/tex] and [tex]S[/tex]. The ratio of the line segment [tex]RX[/tex] to the line segment [tex]RS[/tex] is given by:
[tex]r = \frac{RX}{RS}[/tex]
Where:
[tex]RX = \sqrt{(x_{X}-x_{R})^{2}+(y_{X}-y_{R})^{2}}[/tex]
[tex]RS = \sqrt{(x_{S}-x_{R})^{2}+(y_{S}-y_{R})^{2}}[/tex]
Let be [tex]x_{R} = -4[/tex], [tex]y_{R} = 3[/tex], [tex]x_{S} = 16[/tex] and [tex]y_{S} = 18[/tex].
a) If we know that [tex]x_{X} = 8[/tex] and [tex]y_{X} = 12[/tex], the ratio of the line segment [tex]RX[/tex] to the line segment [tex]RS[/tex] is:
[tex]RX =\sqrt{[8-(-4)]^{2}+(12-3)^{2}}[/tex]
[tex]RX = 15[/tex]
[tex]RS =\sqrt{[16-(-4)]^{2}+(18-3)^{2}}[/tex]
[tex]RS = 25[/tex]
Then,
[tex]r = \frac{15}{25}[/tex]
[tex]r = \frac{3}{5}[/tex]
(8,12) is the point [tex]\frac{3}{5}[/tex] of the way from R to S.
b) If we know that [tex]x_{X} = 0[/tex] and [tex]y_{X} = 6[/tex], the ratio of the line segment [tex]RX[/tex] to the line segment [tex]RS[/tex] is:
[tex]RX =\sqrt{[0-(-4)]^{2}+(6-3)^{2}}[/tex]
[tex]RX = 5[/tex]
[tex]RS =\sqrt{[16-(-4)]^{2}+(18-3)^{2}}[/tex]
[tex]RS = 25[/tex]
Then,
[tex]r = \frac{5}{25}[/tex]
[tex]r = \frac{1}{5}[/tex]
(0, 6) is the point [tex]\frac{1}{5}[/tex] of the way from R to S.
I will mark as BRANLIEST!!!
How would you begin to answer this question- solve for x if, 2x + 3x = 10. what’s the answer? Plz help me! I’m desperate
Answer:
You would begin to start this equation by combining like terms.
Step-by-step explanation:
To start you would first combine 2x + 3x and you get 5x. From there you would solve 5x=10. Now you would divide by 5 on both sides to get x=2.
Over the last 3 months, you deposited $600 each month into your business checking account. During that time, you
withdrew $1,208.23 to make purchases. What is the net change in your account balance?
O -$3.008.23
O $608.23
$591.77
O $1,808.23
$3.008.23
Intro
Done
Answer:
591.77
Step-by-step explanation:
we multiply 600 by 3 to get 1,800 then subtract 1,208.23 from 1,800 to get 591.77
Find MN.
2x - 16
X-9
Answer:
3
Step-by-step explanation:
LN = 11
x - 9 + 2x - 16 = LN add like terms
3x - 25 = 11
3x = 36
x = 12
MN = x - 9 therefore MN = 3
PLEASE HELP !
The equation 8(u+3)=-16 is solved in several steps below. For each step , choose the reason that best justifies it
Answer:
Division property of equality
Step-by-step explanation:
Answer:
I hope this picture helps tho!!
Levi prepares 3 kilograms of dough every hour he works at the bakery. How many hours did Levi work if he prepared 27 kilograms of dough?
Answer:
1 hour = 3 kg
27 ÷ 3 = 9 hours
hope this helps.
7. A BOOKSTORE WAS SELLING BOOKS FOR 50% OFF. A SHELF IN THE STORE HAD A SIGN AS SHOWN:
"BOOKS ON THIS SHELF TAKE AN ADDITIONAL 25% OFF"
LETA PICKED OUT BOOKS FROM THE DISCOUNT SHELF THAT HAD A REGULAR PRICE OF $100. HOW MUCH
DID LETA PAY FOR THE DISCOUNTED BOOKS?
Answer:
Leta payed $37.50
Step-by-step explanation:
50% is another way of saying half. So half of 100 is 50. She is down to $50.00 If you take another 25% off then it is $37.50. This is because 25% of 50 is 12.50. If you subtract 12.5 from 50 then you get 37.50. This is how I know it is $37.50. Hope this helps! :)
Questions in the picture. Pls help!!!!!
Answer:
A = 5
B = 3
C = 5
D = 3
Step-by-step explanation:
A - B = 2
• 5 - 3 = 2
A + C = 8
• 5 + 3 = 8
A + C = 10
• 5 + 5 = 10
B + D = 8
• 5 + 3 = 8
Find the volume of the solid shown or described. If necessary round to the nearest tenth. Find the volume of the figure below. Round to the nearest tenth. M
Answer:
C) 3057.6 cm³
Step-by-step explanation:
Rectangular prism: 20x11x9=1980
Cylinder: [tex]\pi[/tex]r²h = [tex]\pi[/tex]X7x7x7=1077.57
1980+1077.57=3057.57
A physical therapy facility is building a new pool that is 60 feet long and 7 feet deep. They have ordered enough tile for a
140-foot-long border around the edge. How wide should the pool be to ensure that all tiles are used?
Answer:
The Pool should be 10 feet wider
Step-by-step explanation:
The rectangngle shaped pool will have 4 sides...
If the Pool is 60 feet long then 120 feet should be covered by Tiles.
so only Tiles of 20 feet are left...
Hence the border will be 10 on one side and 10 on the other side
The Pool should be 10 feet wider
The calculation is as follows:
The rectangle-shaped pool will have 4 sides
In the case when the Pool is 60 feet long then 120 feet should be covered by Tiles.
Thus, only Tiles of 20 feet are left...
Therefore,
Hence the border will be 10 on one side and 10 on the other side
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translate into words
In which number 2 worth one-tenth as much as it is in the number 378,215 A.439,592 B.657,423 C.872,551 D.939,264
Answer:
i would say b since its 1 placement lower
Step-by-step explanation:
235 people are at RSM summer camp. There are 35 more boys than girls, and 70 fewer adults than girls. How many people of each group are at the camp?
Answer:
The number of girls are 90 girls
The number of boys are 125 boys
The number of adults are 20 adults
There are 90 girls, 125 boys and 20 adults at the camp
Step-by-step explanation:
The total number of people is given as 235 people
The number of boys = 35 + The number of girls
The number of adults = The number of girls - 70
Let the total number of girls = G
Therefore, we have;
The number of boys = 35 + G
The number of adults = G - 70
The total number of persons = The number of boys + The number of adults + The number of girls
Therefore;
235 = The number of boys + The number of adults + The number of girls
Which gives;
235 = 35 + G + G - 70 + G = 3·G - 35
235 = 3·G - 35
3·G - 35 = 235
3·G = 235 + 35 = 270
G = 270/3 = 90
The number of girls = 90
The number of boys = 35 + The number of girls = 35 + 90 = 125
The number of boys = 125
The number of adults = The number of girls - 70 = 90 - 70 = 20
The number of adults = 20.
Answer:
There are 90 girls, 125 boys, and 20 adults.
Step-by-step explanation:
Let x be the number of girls. How many boys were there?
x + 35
How many adults were there?
x - 70
We know that 235 people are at RSM summer camp. Use this to make an equation.
x + (x + 35) + (x - 70) = 235
x + x + 35 + x - 70 = 235
3x - 35 = 235
3x - 35 + 35 = 235 + 35
3x = 270
3x ÷ 3 = 270 ÷ 3
x = 90
x, x + 35, x - 70
90, 125, 20