Answer:
[tex]b = \frac{c - ax}{y}[/tex]
Step-by-step explanation:
[tex]ax + by = c \\ by = c - ax \\ b = \frac{c - ax}{y} [/tex]
A bus travels the 100 miles between A and B at 50 mi/h and then another 100 miles between B and C at 70 mi/h. The average speed of the bus for the entire 200-mile trip is:
Answer:
Average speed= 58.3 mi/hourStep-by-step explanation:
The average speed is defined as the total distance traveled divided by the total time taken.
from A to B
distance= 100 miles
speed= 50 mi/h
speed= distance/time
time= distance/speed
time= 100/50
time= 2 hours
from B to C
distance= 100 miles
speed= 70 mi/h
speed= distance/time
time= distance/speed
time= 100/70
time= 10/7 hours
Average speed= total distance/total time
total distance= 200 mile
total time= 2+10/7= (14+10)/7= 24/7
Average speed= 200/24/7
Average speed= 200*7/24
Average speed= 1400/24
Average speed= 58.3 mi/hour
Question 6 (9 points)
Which of the following is the simplified expression of -6y² + 4 + 4x – y + 2x – 2 – 3 ?
Answer:
-6y² -1 + 6x - y
Step-by-step explanation:
-6y² + 4 + 4x – y + 2x – 2 – 3 ?
-6y²- 1 + 4x - y + 2x
-6y² -1 + 6x - y
5 Simplify (12)(129). Write your answer using an exponent.
Explain how you found your answer.
Answer:
Your answer would 1,548. You would multiply the two numbers, as numbers in parentheses immediately next to each with no symbol of mathematics between them means multiplication, you would just multiply them. Hope this helps!
The closest perfect square less than 2592
There are 3 different cheeses at the deli. Yasuko buys Three-fourths of a pound of each. There are also 4 different meats. She buys One-half of a pound of each. How much total meat and cheese did Yasuko buy at the deli? One-fourth pounds 2 and one-fourth pounds 4 and one-fourth pounds 4 and one-half pounds
Question :
There are 3 different cheeses at the deli. Yasuko buys Three-fourths of a pound of each. There are also 4 different meats. She buys One-half of a pound of each. How much total meat and cheese did Yasuko buy at the deli? a) One-fourth pounds
b) 2 and one-fourth pounds
c) 4 and one-fourth pounds
d) 4 and one-half pounds
Answer:
c) 4 and one-fourth pounds
Step-by-step explanation:
From the question:
There are 3 different cheeses at the deli. Yasuko buys Three-fourths of a pound of each.
Total pounds of cheese = 3 × (3/4)
= 9/4 pounds of cheese
There are also 4 different meats. She buys One-half of a pound of each.
Total pounds of meats she bought = 4 × (1/2)
= 4/2 pounds of meat
The total pounds of total meat and cheese did Yasuko bought at the deli =
= 9/4 pounds of cheese + 4/2 pounds of meat
L.C.M = 4
= 9 × 1 + 4 × 2/4
= 9 + 8/4
= 17/4
= 4 1/4 pounds
In words is 4 and one-fourth pounds
Answer:
C
Step-by-step explanation:
Took the test
Write the equation of the line, with the given properties, in slope intercept form slope = -2, through(-4,7)
Answer:
y= -2x + 7
Step-by-step explanation:
So in slope intercept y will always equal something so you start with
y= mx + b
m = slope and b = y-intercept
so in this case it would first be
y = -2x + b
and then since we have the point it passes through (-4,7) we know that the line passes through the y axis at 7 hence the y value is 7.
so you finally get
y=-2x+7
The equation of line passes through the point (-4, 7) will be;
⇒ y = - 2x - 1
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The point on the line are (-4, 7).
And, The slope of the line is,
⇒ m = - 2
Now,
Since, The equation of line passes through the point (- 4, 7).
And, Slope of the line is,
m = - 2
Thus, The equation of line with slope - 2 is,
⇒ y - 7 = - 2 (x - (-4))
⇒ y - 7 = - 2 (x + 4)
⇒ y - 7 = - 2x - 8
⇒ y = - 2x - 8 + 7
⇒ y = - 2x - 1
Therefore, The equation of line passes through the point (-4, 7) will be;
⇒ y = - 2x - 1
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Natalie works in a department store selling clothing. She makes a guaranteed salary of $300 per week, but is paid a commission on top of her base salary equal to 30% of her total sales for the week. How much would Natalie make in a week in which she made $225 in sales? How much would Natalie make in a week if she made x dollars in sales?
Answer:
The answer is below
Step-by-step explanation:
a) Natalie basic salary is $300 per week. She is paid a commission of 30% of her total sales for the week. Therefore her total weekly salary per week is given by:
Total weekly salary = Basic salary + Commissions
If Natalie makes $225 in sales, her commission = 30% of $225 = 0.3 × $225 = $67.5
Total weekly salary = Basic salary + Commissions = $300 + $67.5
Total weekly salary = $367.5
b) If Natalie makes $x in sales, her commission = 30% of $x = 0.3 × $x = $0.3x
Total weekly salary = Basic salary + Commissions = $300 + $0.3x
Total weekly salary = $(300 + 0.3x)
Find the area 10yd, 4yd, 10yd, 13yd and 8yd
Answer:
41,600yd's is the area....
Determine the measure of the angle labeled (4x+7)°.
Answer:
39°
Step-by-step explanation:
It is the same measure as the one labeled 6x-9, since these are vertical angles.
4x +7 = 6x -9
16 = 2x . . . . . . . . add 9-4x
8 = x
4x+7 = 4(8) +7 = 39
The angle is 39°.
Which of the following is a whole number?
9
JT
5.111...
2
8
Submit
Answer:
9,2,8
Step-by-step explanation:
A whole number is a number with no fractions or Integers.
Sally has 3 less than two times a number of cookies. Write an expression representing the amount of
Sally's cookies.
Answer:
Step-by-step explanation:
E (c)= 2c-3 has Sally
where c =number of cookies
Answer:
y to the second power -3
Are the following two expressions the same? [tex]-(4t^2 -16t - 20)[/tex] AND [tex]4t^2 - 16t - 20[/tex]
Answer:
NoStep-by-step explanation:
Use - to open the bracket
[tex] - (4t^2 -16t - 20) = \\ - 4 {t}^{2} + 16t + 20[/tex]
Compare the two
: They are not the same
[tex]4t^2 - 16t - 20[/tex]
Note :
[tex] - \times - = + \\ + \times - = - \\ + \times + = + \\ - \times + = - [/tex]
Line c has a slope of 3/4
Line d parallel to line c. What is the slope of line d?
Parallel lines have equal slopes, but different y intercepts.
For example, y = 2x+5 and y = 2x+7 are parallel lines with the same slope m = 2, but the y intercepts are different (5 and 7) to ensure we aren't talking about the same line.
I need help with my homework
Answer:
the length is 6cm and the height is 9cm
Step-by-step explanation:
because 9x6=54
What is the answer to this
-5 + 7
If f(x) = 2x – 1and g(x) = x², Find fºg
Answer: the answer is
Step-by-step explanation:
put g of x in f of x
(2x)^2 - 1
=4x^2 - 1
Evaluate $$ 7 5×10.
Answer:
I think it is $750
Step-by-step explanation:
Simply multiply $75 ×10
hi I need help with this packet because my teacher explains it very hardly for me
Answer:
(-1,4) (-8,2) (-6,10)
Step-by-step explanation:
All you had to do is reflect it and figure out the new coordinates. There is you answer.... you welcome
In a figure, m<1=m<2. Which property can be used to reason that m<2=m<1.
Please show all work and not just the answers.
Answer: Symmetric property of equality
This is the idea that if x = y, then y = x. We can swap the left and right sides of an equation, and still mean the same thing. The same applies to congruences as well.
а+ За – 4(9 — а)
Simplify..
Answer:
8a-36 is the answer.
Step-by-step explanation:
=a+3a-4(9-a)
=a+3a-36+4a
=4a+4a-36
=8a-36
Hope it will help ^_^
Answer:
8a - 36
Step-by-step explanation:
a + 3a - 4(9-a)
4a - 4(9-a)
4a- 36 - 4a
8a - 36
Lindsay is playing a video game.
She begins with an initial score of
800 points but loses 350 point
throughout the game. She
represents her score using the
expression shown.
800 - 350
Answer:
True
Since she lost 350 points and started with 800, 800 - 350 is correct.
On January 3, the high temperature in Anchorage, Alaska, was −24∘F. That same day, the high temperature in Minneapolis, Minnesota, was −9∘F. What was the difference between the temperature in Anchorage and the temperature in Minneapolis?
Answer:
-15
Step-by-step explanation:
-24-(-9)= -15
On January 3, the high temperature in Anchorage, Alaska, was −24∘F. That same day, the high temperature in Minneapolis, Minnesota, was −9∘F. Since, temperature is of interval scale, the difference between the temperature in Anchorage and the temperature in Minneapolis is of 15 degrees.
There are four scales of measurement. They are : nominal, ordinal, interval and ratio scale. Nominal and ordinal scales are for categorical data. Whereas, interval and ratio scale are for numerical data.
Interval scale only allows arithmetic operation addition and subtraction, but not multiplication and division.
Given in the question,
temperature of Anchorage, Alaska = −24∘F
temperature of Minneapolis, Minnesota = −9∘F
difference in the two temperature = −9∘F - ( −24∘F) = -9 + 24 = 15°F
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3.Which linear equations also represents a direct variation? (select all that apply)
y = 2/3x
y = -2x – 4
y = 5x
y = 3x + 2
10 kilometers is about
6 miles
B
6 feet
10 feet
60 feet
i need a question answered to get points. So whats 2x4?
Answer:
8
Step-by-step explanation:
2x4=8
Answer:
8
Step-by-step explanation:
2*4= 8
what number set does 24 belong to?
Answer:
even numbers
Step-by-step explanation:
its latter digit is divisible by 2
how do i get points?
Answer:
answer questions :)
Step-by-step explanation:
Answer:
sorry i just need points
Step-by-step explanation:
Is 4:18 and 2:12 equivalent
Your school's drama club charges $10 per person for admission to a play. The club borrowed $400 to pay for costumes and props. After paying back the loan, the club has a profit of $100. Write an equation. Let x represent the number of people who attended the play.
Answer:
10x + 400 - y = 100
Step-by-step explanation:
Answer:
50 people came to the play
Step-by-step explanation:
Let x be the amount of people that attended the play
10x=400+100
10x=500
divide by 10 on both sides
50 people came to the play
400+100=500
40 people is $400 for the props
10 people makes $100
Hope this helps :-)
Alice needs to rent a car while on vacation. The rental company charges $17.95, plus 15 cents for each mile driven. If Alice only has $40 to spend on the car rental, what is the maximum number of miles she can drive?
Answer:
Alice can drive 147 miles
Step-by-step explanation:
At first you subtract $17.95 from $40.
Then you are left with $22.05
Finally, you divide $22.05 by $0.15
And you get 147, so she can drive 147 miles without going over her limit.