Answer:
x=1 ,y=-5
Step-by-step explanation:
3x + 10y = 47
5x - 7y = 40
____________
21x + 70y = 329. equ 1
50x - 70y = 400. equ 2
subtract equ 1 from 2
=71x = 71
divide both sides by the 71
71/71 = 71/71
x = 1
_________
to find y
substitute x into either equ 1 or equ 2
am using equ 2
5x - 7y = 40
5(1) - 7y = 40
5 - 7y = 40
7y = 5 - 40
7y = -35
divide both sides by the coffecient of y
7y/7 = -35/7
y = - 5
what is the steps to this problem.
2(3b-2)=2(2b+12)
Answer:
14
Step-by-step explanation:
Step 1:
2 ( 3b - 2 ) = 2 ( 2b + 12 ) Equation
Step 2:
6b - 4 = 4b + 24 Multiply
Step 3:
6b = 4b + 28 Add 4 on both sides
Step 4:
2b = 28 Subtract 4b on both sides
Step 5:
b = 28 ÷ 2 Divide
Answer:
b = 14
Hope This Helps :)
Find the midpoint of the segment with the following endpoints.
(-6, 4) and (-1,-6)
Answer:
(−7 / 2, −1)
Step-by-step explanation:
which answer is right
Which graph represents a proportional relationship?
Johnny will work 15 hours a week during the 36 week school year, and 40 hours a
week the other 16 weeks of the year. If he makes 9 dollars per hour before taxes
and plans to save half of the money, how much will he have saved for the entire
year?
answer choices:
a- $4,248
b- $5,310
c- $10,620
d- $1,944
Give an example of two events that are not mutually exclusive.
Answer: in the case of rolling a die the event of getting an 'odd-face' and the event of getting 'less than 4' are not mutually exclusive and they are also known as compatible event. The event of getting an 'odd-face' and the event of getting 'less than 4' occur when we get either 1 or 3.
Step-by-step explanation:
also turning ur body (left and right)
What real number is 7/8
Answer:2 is the answer.
Step-by-step explanation:
The integers are the whole numbers, their opposites, and 0 . From the given numbers, −7 and 8 are integers.
the histogram to the right displays the height of 122 trees and Mr. Maciag's subdivision. He is very excited about autumn and the leaves changing colors. Height ranged between 108 cm and 345 cm. Let the function "f" map a tree height to the frequency of the column that tree belongs to. What is the value of f(250)? Explain the steps you followed to find the value.
Answer: 50
Step-by-step explanation:
f(250) = ?
Is asking, "What is the frequency (number of trees) that have a height of 250"
Look at the graph to see that when x = 250 (height), y = 50 (trees).
Therefore, f(250) = 50
Mr. Jones has to invest in three types of stocks, low-risk, medium-risk, and high-risk. He invests according to three principles. The amount invested in low-risk stocks will be at most more than the amount invested in medium-risk stocks. At least will be invested in low- and medium-risk stocks. No more than will be invested in medium- and high-risk stocks. The expected yields are % for low-risk stocks, % for medium-risk stocks, and % for high-risk stocks. How much money should Mr. Jones invest in each type of stock to maximize his total expected yield?
Answer:
Since the numbers are missing, I looked for a similar question:
Mr. Jones has $9000 to invest in three types of stocks: low-risk, medium-risk and high-risk. He invests according to the following rules: the amount invested in low-risk stocks will be at most $1000 more than the amount invested in medium-risk stocks. At least $7000 will be invested in a combination of low- and medium-risk stocks. No more than $7000 will be invested in a combination of medium- and high-risk stocks. The expected annual returns are 6% for low-risk stocks, 7% for medium-risk stocks, and 8% for high-risk stocks. How much should he invest in each type of stock to maximize his total expected yield?
let:
L = low risk stocks
M = medium risk stocks
H = high risk stocks
maximize 0.06L + 0.07M + 0.08H
L + M + H ≤ 9000
L ≥ M + 1000
L + M ≥ 7000
M + H ≤ 7000
using solver, the optimal solution = 4,000L + 3,000M + 2,000H , which yields a maximum profit = $610
Mr. Jones should invest $4,000 in low risk stocks, $3,000 in medium risk stocks and $2,000 in high risk stocks.
Pls answer this quick! Thank you!
Answer:
The answer is -11 and -9 only
Step-by-step explanation:
Mabel earn 180$ in 18 hours.at this rate how many dollars will she earn in 30 hours?
Since she earns $180 in 18 hours, she earns a rate of $ 180/18 per hour, which is $10 per hour.
In 30 hours she earns 30 times 10 dollars, which is 300 dollars.
You could also set up a proportion saying that 180/18 = x/30, then cross multiply to get 18x = 5400, and divide by 18 on both sides to get 300.
Answer:
Mabel will earn 300$ in 30 hours
Step-by-step explanation:
I took 180 and divided it by 18 so that I can find how much money she earns per hour.
180÷18= 10
10 × 30= 300
A rectangular athletic field is twice as long as it is wide. If the perimeter of the athletic field is yards, what are its dimensions 76
Answer:
The length is 25.3 yards, while the width is 12.7 yards.
Step-by-step explanation:
Perimeter of a rectangle, P = 2(l + w)
where l is its length and w the width.
Given that:
perimeter = 76 yards
It is twice as long as its wide, length = 2w
width = w
Then,
P = 2(l + w)
76 = 2(2w + w)
divide through by 2, to have;
38 = 2w + w
38 = 3w
⇒ w = 12.67 yards
Thus,
length = 2w = 2 x 12.67 = 25.34 yards
The length is 25.3 yards, while the width is 12.7 yards.
Andrew purchased some drinks and some chips. Each bag of chips cost $2.00 and
each drink cost $2.50. The expression 2x + 2.5y gives the total amount of money
spent by Andrew on chips and drinks. What is the meaning of the term 2.5y?
Answer:
2.5y=amount spent on drinks
Step-by-step explanation:
If chips are $2 and drinks are $2.50 and we do not know how many he bought of each, we put this into an equation which is
2x+2.5y
x=number of bags of chips while the 2 is two dollars per bag
so, if he bought 2 bags of chips 2(2)= $4 spent.
y= number of drinks and 2.5 is $2.5 per drink, so if he bought 4 drinks:
2.5(4)= $10 spent on drinks.
A cylinder has a base diameter of 12ft and a height of 12ft. What is its volume in cubic
ft, to the nearest tenths place?
Answer:
1357ft^3 but to the nearest tenths place is 1360ft^3
Step-by-step explanation:
Answer:
1357.2
Step-by-step explanation:
h=12 d=12 r=6
v=(6)∧2(12)
v=1357.16802635
v=1357.2ft∧3
is there a way you guys can show me how to graph this equation? if not something will do
Answer:
you can use an online graphing calculator
Step-by-step explanation:
Use the link in the screenshot
btw, the line after the word calculator is the cursor, so don't put anything after the word calculator.
How i do this yall..?
Solve for nn by simplifying both sides of the equation, then isolating the variable.
n=4, −2
Answer:
We know that a modulus gives us the absolute value of a number
Hence, this modulus will give a positive value, regardless of the actual value in the modulus
| -1 + n | = 3
(-1 + n) or (1 - n) = 3 -------------------This tells us that either one of the values will give us the same answer
-1 + n = 3 or 1 - n = 3
n = 4 or n = -2
How many degrees is the measurement of the missing angle? (Only numeric answer, no words or symbols at all)
Answer:
65°
Step-by-step explanation:
35° + 80° + x° = 180°
115° + x = 180°
x = 180° - 115°
x = 65°
Select a true statement *
15 points
To convert a Unit Rate into another, we have to add or subtract a Unit Ratio to the original Unit Rate.
To convert a Unit Rate into another, we have to multiply the original Unit Rate by one or two Unit Ratios.
To convert a Unit Rate into another, we have to obtain a denominator different than one.
It is no possible to convert a Unit Rate into another.
Answer: To convert a Unit Rate into another, we have to multiply the original Unit Rate by one or two Unit Ratios.
Step-by-step explanation:
Unit rates are usually convertible to other units using multiplication and division attributes to ensure equivalence depending on preference or units being converted. Once the ratio or proportion between the two units (original and target) have been obtained, the original Unit is multiplied by the ratio of the two units to obtain the target unit rate. This way both units are equivalent to each other.
The Johnson family income is
estimated to be $125,000 per year. Mary wanted to write this number
in scientific notation. If she wrote
1.25 x 10" , what value of n should
she use?
Answer:
The value of n would be 5
Step-by-step explanation:
This is understanding how to take numbers and writing them in scientific notation.
125,000 = 1.25 x 10⁵
First of all.
125,000 = 125,000.0 (See that decimal point?)
We want that decimal point behind the number 1 as seen in the scientific notation. All you have to do is move that decimal point to the left until you reach the ones place.
125000. → 1.25
(You're not finished yet)
Since we moved the decimal five times, then we must put an exponential value of 5 above the 10
In conclusion:
125,000 = 1.25 x 10⁵
The home that you want to purchase requires that you pay 3 points towards a $225,600 loan. Determine the cost of the home after the 3 points have been applied.
a.$225,600
c.$230,112
b.$227,856
d.$232,368
Answer:
D
Step-by-step explanation:
Comment above.
Find the error and and the correct answer
Answer:
Error: Multiplied both sides by 3/4 instead of 4/3.
Solution: x = 16
Step-by-step explanation:
The error is that you multiplied both sides by [tex]\frac{3}{4}[/tex] instead of dividing both sides by [tex]\frac{3}{4}[/tex].
This is an error because:
[tex]\frac{3}{4} *\frac{3}{4} x\neq x[/tex]
Actually:
[tex]\frac{3}{4} *\frac{3}{4} x=\frac{9}{16} x[/tex]
What you want to do instead is divide both sides by [tex]\frac{3}{4}[/tex]. Remember, dividing both sides by [tex]\frac{3}{4}[/tex] would be the same as multiplying both sides by [tex]\frac{4}{3}[/tex].
Now, lets find the correct answer:
[tex]\frac{3}{4}x=12[/tex]
Multiply both sides by 4/3.
x = 16
So the correct answer would be x = 16.
I hope this helps. Happy studying.
There are 11 frogs at the pond. There are 5 frogs in the water. The rest are in the mud. How many frogs are in the mud?
Answer:
This is easy math. 11-5=6. Six frogs are in the water.
Step-by-step explanation:
11 represents the whole of frogs, and 5 represents the frogs in the water.
A dog trainer is trying to find a triangular area behind his house that encloses 1800 square feet for his dog to run. He has the first two fence posts at (6, 0) and at (0, 25). The final fence post is on the property line at x = 30. Find the point where the trainer can place the final fence post.
Answer:
[tex]C = (30,500)[/tex]
Step-by-step explanation:
Given
[tex]Area = 1800ft^2[/tex]
[tex]A = (6,0)[/tex]
[tex]B = (0,25)[/tex]
[tex]C(x,y) = (30,y)[/tex]
Required
Determine the coordinates of C
The area of triangle is calculated as thus:
[tex]Area = \frac{|A_x(B_y - C_y) + B_x(C_y - A_y) + C_x(A_y - B_y)|}{2}[/tex]
This gives:
[tex]1800= \frac{|6(25 - y) + 0(y - 0) + 30(0 - 25)|}{2}[/tex]
[tex]1800= \frac{|6(25 - y) + 30(0- 25)|}{2}[/tex]
[tex]1800= \frac{|6(25 - y) + 30(-25)|}{2}[/tex]
[tex]1800= \frac{|150 - 6y -750 |}{2}[/tex]
[tex]1800= \frac{|150 -750- 6y |}{2}[/tex]
[tex]1800= \frac{|-600- 6y |}{2}[/tex]
Multiply through by 2
[tex]2 * 1800= |-600- 6y|[/tex]
[tex]3600= |-600- 6y|[/tex]
[tex]3600= |-(600+ 6y)|[/tex]
[tex]3600= 600+ 6y[/tex]
Solve for 6y
[tex]6y = 3600 - 600[/tex]
[tex]6y = 3000[/tex]
Solve for y
[tex]y = 3000/6[/tex]
[tex]y = 500[/tex]
Hence:
The point is:
[tex]C = (30,500)[/tex]
f(x) = 3x + 2
What is f(5)?
Hello!
f(x) = 3x + 2
Since you are provided with f(5), we will replace every "x" in the equation with the number 5.
f(5) = 3(5) + 2
f(5) = 15 + 2
f(5) = 17
I hope this helps you! Have a great day!
- Mal
IQ scores have a mean of 100 and a standard deviation of 15. Kate has an IQ of 121. (a) What is the difference between Kate's IQ and the mean
Answer:
(a) The difference between Kate's IQ and the mean is 21
(b) The z score is 1.4
Step-by-step explanation:
Here is the complete question:
IQ scores have a mean of 100 and a standard deviation of 15. Kate has an IQ of 121. (a) What is the difference between Kate's IQ and the mean (b) Convert Kate's IQ score to a z score.
Step-by-step explanation:
(a) To determine the difference between Kate's IQ and the mean, this can be done by subtracting the mean from Kate's IQ.
Mean = 100
Kate's IQ = 121
Difference between Kate's IQ and the mean = 121 - 100 = 21
Hence, the difference between Kate's IQ and the mean is 21.
(b) To convert Kate's IQ score to a z score,
z score is given by the formula
[tex]z =\frac{x - \mu}{\sigma}[/tex]
Where [tex]x[/tex] is the score
[tex]\mu[/tex] is the mean
and [tex]\sigma[/tex] is the standard deviation
From the question,
[tex]x[/tex] = 121
[tex]\mu[/tex] = 100
[tex]\sigma[/tex] = 15
Then, the z score is
[tex]z =\frac{x - \mu}{\sigma}[/tex]
[tex]z =\frac{121 - 100}{15}[/tex]
[tex]z =\frac{21}{15}[/tex]
[tex]z =\frac{7}{5}[/tex]
z = 1.4
Hence, the z score is 1.4.
A container of coffee holds 12 gallons of coffee. If Mark wants to buy 2 containers of coffee, how many liters will he have in total? (1 gallon is approximately 3.78 liters)
Answer:
Volume
24
US liquid gallon
=
90.8499
Liter
Step-by-step explanation:
If x2 = 20, what is the value of x?
Answer:
10
Step-by-step explanation:
20/2=10 so x=10
Answer:
10
Step-by-step explanation:
A theater owner wants to divide a 3300 seat theater into three sections, with tickets costing $40, $80, and $100, depending on the section. He wants to have twice as many $40 tickets as the sum of the other tickets, and he wants to earn $186,000 from a full house. Find how many seats he should have in each section.
The number of $40 seats is__?
The number of $80 seats is__?
The number of $100 seats is__?
Answer:
1,100 for each section
Step-by-step explanation:
3300 divided by 3 equals 1100
HELP!!!
The first two steps of a proof of the Pythagorean theorem are shown. What is the
next step?
a а
a а
b
Step 1
Step 2
A. Rearrange pieces to form a square with side length a + b.
B. Form an outer square that has squares with areas of a2 and b2 inside it.
O C. Move up the sides labeled c.
D. Rotate both triangles to form a square with side length c.
Answer:D
Step-by-step explanation:
I got you!
2. Find the domain and range of the function: *
1 point
f (x)=
3(x + 2)2 +7
212
Domain is all reals, range is y greater than or equal to 7
Domain is all reals, range is y less than or equal to 7
Domain is all reals, range is all reals
Domain is x greater than or equal to 7. range is all reals
Domain is x less than or equal to 7, range is all reals
3.
I think the correct answer would be :
Domain is all Reals , Range is all Reals.
Is it always true that a line connecting two points on the same side of given line will be parallel to that given line?
Answer: No, its not always true
It is possible to have a parallel line form, but you could easily have the new line intersect the old one. It depends on how you place the points.
Side note: Parallel lines have equal slopes but different y intercepts.