Answer:
1 Answer. The equation in standard form is 23x−y=7 .
Step-by-step explanation:
A school has a ratio of 150 students to 18 teachers. How can the number of teachers be adjusted so the student-to-teacher ratio is 15 to 1?
Change the amount of teachers to be 10.
Why is the percent increase from 45 to 75 not equal to the percent decrease from 75 to 45? Select three options.
The amount of change is different for the percent increase and the percent decrease.
The ratio of the percent increase is not the same as the percent decrease.
| The ratio for the percent increase has a smaller denominator than the percent decrease.
The ratio for the percent increase has a different numerator than the percent decrease.
The original amount for the percent increase is different from the original amount for the percent decrease.
2. The ratio of the percent increase is not the same as the percent decrease.
3. The ratio for the percent increase has a smaller denominator than the percent decrease.
5. The original amount for the percent increase is different from the original amount for the percent decrease.
B,C,E
If p(x) = 2x 3 +ax 2 -7x+b and we want p(1)=3 and p(2) = 19. What should be a and b?
Answer:
a and b should be a = 3 and b = 5
Step-by-step explanation:
We will make aa system of equations to find a and b
∵ p(x) = 2x³ + ax² - 7x + b
∵ p(1) = 3
→ That means substitute x by 1 and p(x) by 3
∵ 3 = 2(1)³ + a(1)² - 7(1) + b
∴ 3 = 2 + a - 7 + b
→ Add the like terms in the right side
∵ 3 = a + b + (2 - 7)
∴ 3 = a + b + (-5)
∴ 3 = a + b - 5
→ Add 5 to both sides
∴ 3 + 5 = a + b - 5 + 5
∴ 8 = a + b
→ Switch the two sides
∴ a + b = 8 ⇒ (1)
∵ p(2) = 19
→ That means substitute x by 2 and p(x) by 19
∵ 19 = 2(2)³ + a(2)² - 7(2) + b
∴ 19 = 2(8) + a(4) - 14 + b
∴ 19 = 16 + 4a - 14 + b
→ Add the like terms in the right side
∵ 19 = 4a + b + (16 - 14)
∴ 19 = 4a + b + (2)
∴ 19 = 4a + b + 2
→ Subtract 2 both sides
∴ 19 - 2 = 4a + b + 2 - 2
∴ 17 = 4a + b
→ Switch the two sides
∴ 4a + b = 17 ⇒ (2)
Now we have a system of equations to solve it
→ Subtract equation (1) from equation (2)
∵ (4a - a) + (b - b) = (17 - 8)
∴ 3a + 0 = 9
∴ 3a = 9
→ Divide both sides by 3
∴ a = 3
→ Substitute the value of a in equation (1) to find b
∵ 3 + b = 8
→ Subtract 3 from both sides
∴ 3 - 3 + b = 8 - 3
∴ b = 5
∴ a and b should be a = 3 and b = 5
During which method of separation is one of the components of the mixture lost?
A.) distillation
B.) magnetic separation
C.) screening
D.) evaporation
Answer:
d
Step-by-step explanation:
Answer:
D. evaporation
Step-by-step explanation:
Is my IQ average?
I am 15 and have an IQ of 169, am I average?
Answer:
you are above average i think
Step-by-step explanation:
Answer:
Yes your IQ is really good and I think above average
Can someone help me please!!!
Answer:
B.
I mean I'm pretty sure that most people agree that the answer is B.
Use the tables to create the function in slope intercept form
*look at picture included*
[tex]y = mx + b[/tex]
if 1/3 of a set of numbers is 8 how many numbers are in the total set ?
Answer:
24
Step-by-step explanation:
1/3 = 8
3/3 = 8*3
how do i solve this
(-10b - 11n ) - 2b
Step-by-step explanation:
Combine Like Terms:
=10b+−11n+−2b
=(10b+−2b)+(−11n)
=8b+−11n
Answer:
=8b−11n
hope I helped
A rectangle park has been constructed in downtown lilburn the designer wants to put a gravel walkway that cuts diagonally through the park the width is 8ft and height is 6ft long what is the length of the walkway?
Answer:
10
Step-by-step explanation:
What is the slope of the line that passes through the points (-7,-4) and (-11,-2)? Write your answer in simplest form
Answer:
the and is C 11-2 because its the right answer
Pls help tysm!!! ASAP
6x < -96
solve for x
Answer: Anything greater then -16 (EX: -15, -14)
Work: This is a One-Step Inequality equation, meaning you just need to divide. You need to get x by itself, so you divide the 6 on both sides, but since there is a negative, you have to flip the sign. So, the answer is x > -16.
Check: 6(-15) > -96; -90 > -96 < It's correct.
help pleaseeeeeeeee
Answer:
line c
Step-by-step explanation:
rise over run is equal to 2 book per week which is line c
Answer:
Line C
Step-by-step explanation:
Line C keeps a proportional increase with 2 books per week shown in screenshot below.
3 side length that can form a right triangle
Answer:
A triangle must add up to 180° and be closed on all sides
Step-by-step explanation:
Emmett gathered some data to compare the monthly cost of renting a one-bedroom apartment in Dallas and Austin. The data collected for the monthly cost of renting a one-bedroom apartment in Dallas is shown below.
$994 $1,322 $1,075 $1,189 $1,172
$1,465 $1,215 $930 $1,090 $1,288
The data collected for the monthly cost of renting a one-bedroom apartment in Austin is shown below.
$1,450 $1,400 $1,375 $1,389 $1,296
$900 $1,250 $1,100 $950 $1,495
Select ALL the statements that are true about the Austin Data.
This city's data had the higher interquartile range of the two cities by $87.
This city's data had the higher median monthly apartment cost of the two cities by $155.
this city's data had the lower average apartment cost because the mean was $86.50 less than that of the other set of data.
This city's data had the greater variability among monthly apartment costs because the standard deviation was $49.13 more than that of the other set of data.
Answer:
The correct options are;
a) The city's data has the higher median monthly apartment cost of the two cities by $155
b) The city's data had the greater variability among monthly apartment costs because the standard deviation was $49.13 more than that of the other set of data
Step-by-step explanation:
The given data for the cost of renting a one-bedroom apartment in Dallas is presented as follows;
$994, $1,322, $1,075, $1,189, $1,172, $1,465, $1,215, $930, $1,090, $1,288
Which can be arranged in increasing order and analyzed to find the interquartile range, mean and standard deviation using Microsoft Excel as follows;
$930, $994, $1,075, $1,090, $1,172, $1,189, $1,215, $1,288, $1,322, and $ 1,465
The first quartile, Q₁ = $1,054.75
The third quartile, Q₃ = $1,296.5
The interquartile range = Q₃ - Q₁ = $241.75
The median = $1,180.5
The average monthly cost = $1,174
The standard deviation of the sample = $159.9597
The given data for the cost of renting a one-bedroom apartment in Austin is presented in increasing order using Microsoft Excel as follows;
$900, $950, $1,100, $1,250, $1,296, $1,375, $1,389, $1,400, $1,450, $1,495
The interquartile range, mean and standard deviation are found using Microsoft Excel as follows;
The first quartile, Q₁ = $1,062.5
The third quartile, Q₃ = $1,412.5
The interquartile range = Q₃ - Q₁ = $1,412.5 - $1,062.5 = $350
The median = $1,335.5
The average monthly cost = $1,260.5
The standard deviation of the sample = $209.0945
The difference in the median cost of the two cities is $1,335.5 - $1,180.5 = $155
Therefore, the Austin's city data has the higher median monthly apartment cost of the two cities by $155
b) The difference in the sample standard deviation of the two cities is $209.0945 - $159.9597 = $49.13476
Therefore, the Austin city data had the greater variability among monthly apartment costs because the standard deviation was $49.13 more than that of the other set of data.
Answer:
This city's data had the higher median monthly apartment cost of the two cities by $155.
This city's data had the higher interquartile range of the two cities by $87.
This city's data had the greater variability among monthly apartment costs because the standard deviation was $49.13 more than that of the other set of data.
Step-by-step explanation:
Austin Mean: 1335.5
Dallas Mean: 1180.5
Interquartile Range (Austin): 300
Interquartile Range (Dallas): 213
Standard Deviation (Austin): 209.0945
Standard Deviation (Dallas): 159.9597
A bathtub can hold 80 gallons of water. the faucet flows at a rate of 4 gallons per min what percent of the tub would be filled with water after 6 mins ( in gallons) ( also add any decimals if needed) I NEED AN ANSWER ASAP PLS
Step-by-step explanation:
4 gallons per min * 6 min = 24 gallons
Hence the bathtub is 24/80 = 30% filled.
Answer:
30% of water is filled
24 gallons
Step-by-step explanation:
4 gallons = 1 min
24 gallons = 6 mins
4 x 6 = 24
1 x 6 = 6
24/80 = How much water filled in the tub
24/80 = 0.3
0.3 = 30%
Algebra 1 IMPORTANT
Answer:
A
Step-by-step explanation:
Subtract 1.6 from the height each hour and it shows that the answers match the height each hour.
Find the measure of the arc or angle indicated.
A. 43
B. 53
C. 44
D. 46
Answer:
D. 44 is the answer
explanation:
You know that the rose garden is 20% of the total garden. What is 20% written as a ratio?
Answer:
20:100
Step-by-step explanation:
We know that percentages are out of 100. The rose garden is 20 percent of the garden. Which is 20 percent/100 percent. A ratio says how much of one thing there is compared to another thing. Therefore we are comparing 20:100. You can also simplify this ratio to 1:5
Answer:20:100
Have a great day!
In MON, J, K, and L are midpoints. If JL = 11, LK = 13, and ON = 20, and JL || MN, LK || MO, and JK || ON, what is the length of MN, MO, and JK?
Answer:
The lengths of MN is 22 units, MO is 26 units and JK is 10 units
Step-by-step explanation:
A line segment joining the mid-points of two sides in a triangle is parallel to the third side and equal to half its length
In Δ MON
∵ J, K, and L are mid-points
∵ JL // MN and LK // MO
∴ L is the mid-point of ON
∴ J is the mid-point of MO
∴ K is the mid-point of MN
∵ J, L are the mid-points of MO and ON
∵ JL is opposite to MN
→ By using the rule above
∴ JL = [tex]\frac{1}{2}[/tex] MN
∵ JL = 11 units
∴ 11 = [tex]\frac{1}{2}[/tex] MN
→ Multiply both sides by 2
∴ 22 = MN
∴ MN = 22 units
∵ K, L are the mid-points of MN and ON
∵ KL is opposite to MO
→ By using the rule above
∴ KL = [tex]\frac{1}{2}[/tex] MO
∵ KL = 13 units
∴ 13 = [tex]\frac{1}{2}[/tex] MO
→ Multiply both sides by 2
∴ 26 = MO
∴ MO = 26 units
∵ J, K are the mid-points of MO and MN
∵ JK is opposite to ON
→ By using the rule above
∴ JK = [tex]\frac{1}{2}[/tex] ON
∵ ON =20 units
∴ JK = [tex]\frac{1}{2}[/tex] (20)
∴ JK = 10 units
∴ The lengths of MN are 22 units, MO is 26 units and JK is 10 units
14. Find the slope of the line that passes through the two points: (5, 10) and point
(10, 20)
Two lines have a slope of 3 and different y-intercepts how many solutions will this system have
Answer:
0 solutions / no solutions
Step-by-step explanation:
If two lines have the same slope but different y-intercepts, it means that they are parallel.
For example, we have two lines:
y = x
y = x + 1
Both lines have the same slope of 1, but different y - intercepts. Because each equation increases the x and y at the same right (slope) but started at different points, the two equations will never touch.
It's similar to two runner who run at the same pace. If one runner started 50 meters ahead, that runner will always be ahead 50 meters (y-intercept) because they both run at the same rate.
Seventy-six people were asked what their favorite meal of the day is. Twenty-eight said lunch was their favorite meal of the day. Thirty-three said dinner was their favorite meal of the day. Eighteen women said their favorite meal of the day was lunch. Nineteen men said their favorite meal of the day was dinner. Thirty-six of the people who were asked are women.
Answer:
Step-by-step explanation:
so whats your question?
Answer:Hi! Sorry for the late answer!
11 | 4 | 15
10 | 18 | 28
19 | 14 | 33
40 | 36 | 76
All you need to do is simple subtraction, and pay attention to what the question gives you.
Step-by-step explanation:
A train ticket cost $14 .Don paid with $20 bill .How much money should he get back
Answer:
$6
Step-by-step explanation:
$20-$14=$6
Answer:
$6
Step-by-step explanation:
He would get 6 back because 20-14=6
Describe the relationship 18
What is a lever? On which principle does it work?
Is velocity ratio of a machine affected by applying
Answer:
A lever is a bar that turns on an unmoving point called a fulcrum. When you push or pull on one end of the bar that pressure is called the force. The object that is lifted on the other end is called the load.
Step-by-step explanation:
Let a machine overcome a load L by the application of an effort E. In time t, let the displacement of effort of dE ad the displacement of load be dL.
Work input =Effort× displacement of effort
=E×dE
Work output =Load× displacement of load
=L×dL
Efficiency=Work inputWork output
=E×dEL×dL=EL×dEdL
=EL×dE/dL1
But Effort(E)Load(L)=M.A.
and dLdE=V.R.
∴Efficiency η=V.R.M.A. or M.A.=V.R.×η
Thus, the mechanical advantage of a machine is equal to the product of its efficiency and Velocity Ratio.
PLEASE HELP!!!
Compare the investment below to an investment of the same principal at the same rate compounded annually.
Answer:
$156.463
Step-by-step explanation:
Given that :
Principal = 5000 ; interest rate (r) = 6% = 0.06 ; interest periods (n) = 4 ; number of years (t) = 12
The compound interest formula:
A = P(1 + r/n)^nt
Investment compounded periodically :
A = 5000(1 + 0.06/4)^(4 * 12)
A = 5000(1.015)^48
A = 5000(2.0434782)
A = 10217.391
Investment compounded annually :
A = P(1 + r/n)^nt
A = 5000(1 + 0.06)^12
A = 5000(1.06)^12
A = 5000(2.012196471835550329409536)
A = 10060.98235917775164704768
A = 10060.928
Difference :
10217.391 - 10060.928 = $156.463
PLEASEEEEE HELPPPPP ASAPPPPP
Answer:
2
Step-by-step explanation:
add 30 and 48 to get 78 and then divide by 2 to get 39
write the following numbers in order starting with the biggest 7m 750cm 0.7m 77cm
Answer:
not bad bvdbfsgbdggdgbcfhxfj
The line ( falls or rises) from left to right. So the slope is (positive or negative)
So which one out of each in ()
- also what is the slope of the line??
Answer:
The line (rises) from left to right. So the slope is (positive). The slope is 4/6.
Step-by-step explanation:
If the line rises from left to right it is positive. Remember the formula for slope is y2-y1/x2-x1
3. In this case, y2 is -1 and y1 is -5. x2 is 3 and x1 is -3.
4. -1 - (-5) / 3 - (-3)
5. 4/6
