Answer: See below
Step-by-step explanation:
a.
To solve for h, we want to use algebraic properties to isolate h.
[tex]A=\frac{1}{2}h(b_1 +b_2)[/tex] [multiply both sides by 2]
[tex]2A=h(b_1 +b_2)[/tex] [divide both sides by b₁+b₂]
[tex]\frac{2A}{b_1+b_2} =h[/tex]
[tex]h=\frac{2A}{b_1+b_2}[/tex]
---------------------------------------------------------------------------------------------
b.
To solve for b₂, we first multiply both sides by 2. Then, we divide both sides by h. This leaves us with [tex]\frac{2A}{h} =b_1+b_2[/tex]. To get b₂, you subtract both sides by b₁.
Answer:
h=2A/(b1+b2)
and
b2=2A/h-b1.
what is the LCM of 25 and 35
Answer:
175
Step-by-step explanation:
A stadium already has 250 people in it at noon.If 35 people per minute enter the stadium,how many are in the stadium at 1:30 p.M. When a concert is supposed to begin?
HELP ME PLEASE !!!!!!!!!
Answer:
12 units right 6 units down
Rearranging Equations: Solve the equation for y: 8x + y = 14 Solve the equation for x: -9x + 3y = 18
Answer:
y=14-8x
x= -2 + 3y/9x
Step-by-step explanation:
8x+y=14
isolate y so you get:
y=14-8x
-9x+3y=18
isolate x so you get:
-9x=18-3y
divide on both sides to get x by itself
-9x/-9x 18-3y/-9x
x= -2 + 3y/9x
Hope this helps :)
Which triangle is similar to PQR?
Answer:
-A
Step-by-step explanation:
A has all lengths exactly half
The endpoints of AB¯¯¯¯¯¯¯¯ are A(9,−4) and B(5,5). Find the coordinates of the midpoint M. Coordinates of midpoint M: ( , )
Answer:
Step-by-step explanation:
(9 + 5)/2= 14/2= 7
(-4 + 5)/2= 1/2
(7, 1/2) Coordinates of Midpoint M
PLEASE HELP ME IM BEGGING YOU
Answer:
A: 2x-1
Step-by-step explanation:
Graph it. if you plug in the x and y of (1,1)
1= 2(1)-1
1=2-1
correct
Answer: A
Step-by-step explanation:
Since we are given the slope, all we have to do is use the given point to find the y-intercept.
y=2x+b [plug in (1,1)]
1=2(1)+b [multiply]
1=2+b [subtract both sides by 2]
b=-1
Now, we know the equation is y=2x-1.
-5x - 12 + 8x - 8
Your answer
Answer:
(3x)-20
Step-by-step explanation:
Answer:
3x-20
Step-by-step explanation:
You just collect like terms. you add -5x + 8x = 3x and -12+-8 =-20
Jillian solved the equation v + 4.3 = 7.05 using the work shown below. * v + 4.3 = 7.05 v + 4.3 − 4.3 = 7.05 + 4.3 v = 11.35 What error did Jillian make?
Answer:
Please check explanation
Step-by-step explanation:
Here, in this question, we are interested in identifying the error made by Jillian in his solution of the equation.
This error is traceable to the second step of his solution. Adding 4.3 to 7.05 and subtracting again is the same thing as not adding anything or just adding zero only.
What he should have done is to subtract the value of 4.3 from both sides of the equation. In that manner, he would have been able to isolate v on the left hand side of the equation
4) How many km in
58,795cm?
Please help thanks!!
Step-by-step explanation:
1 km is equal to 100,000 cm.
58,795 is close to 50,000, which is half of 100,000. So our estimate would be 1/2 km to 50,000 cm.
Convert 58,795 to a decimal.
0.58795
The decimal cannot be simplified so there is
0.58795 km in 58,795 cm
Hope it helps!
Which expression represents the perimeter of the rectangle above?
6x + 3
10x + 6
8x2 + 6x
12x + 6
Answer:
12x+6
Step-by-step explanation:
(4x+3)+(4x+3)+(2x)+(2x)
4+4+2+2=12, 3+3=6
12x+6
1 gallon of water weighs 8 1/3 pounds
30 gallons of water weighs x pounds
Answer:
[See Below]
Step-by-step explanation:
✦ Given that [tex]1=8\frac{1}{3}[/tex] all you have to do is multiply:
[tex]8\frac{1}{3}*30=250[/tex]So [tex]x=250[/tex].
~Hope this helps Mate. If you need anything feel free to message me.
Cell Phone Plus and Phones R Us offer special prices for new customers. Each cell phone company’s advertisement is shown below.
Cell Phone Plus
Phones R Us
$50 Activation Fee
$15 per month
$60 Activation Fee
$10 per month
For what number of months, x, would the cost be the same?
The area of a square is given by the expression s • s square inches. Where s is the length of a side in inches. Write the expression as a power. Then find the are of square of a with a side length of 7 inches.
Answer:
see explanation
Step-by-step explanation:
A = s × s = s²
Given s = 7 , then
A = 7² = 49 in²
Lilyworks for a florist. She worked 20hours last week and earned $200.00. At that rate, how much will she earn if she works for 10 hours?
Answer:
$100
Step-by-step explanation:
Answer:
$100
Step-by-step explanation:
She will earn $100 because since 20 is just 10 times 2, she will earn half as much as she did in 20 hours. 200/2 is 100.
what is the range of the function below in set builder notation? y=|x-3|
Answer: [tex]\{y | \ y \in \mathbb{R}, \ y \ge 0\}[/tex]
This translates to "y is any real number such that it is 0 or larger".
The reasoning is that the result of any absolute value function is either 0 or positive. In other words, we'll never get a negative result of an absolute value function. This is due to how absolute value represents distance. Negative distance does not make sense.
So if y = |x-3| then y = 0 is the smallest output possible. We could have any positive output we want.
In terms of a graph (see below), the V shape is at the lowest point (3,0). The y coordinate is all we care about in terms of finding the range. So we see the lowest y value is y = 0.
Translate each phrase into an expression with integers.
Do not simplify. You'll need to use parentheses to subtract a negative number
.
a. The opposite of 6:
b. The opposite of – 6:
c. Negative six
d. 8 minus negative 8:
Answer:
a. -6
b. -(-6) or 6
c. -6
d. 8 -(-8)
Step-by-step explanation:
The opposite of something is that something preceded by a minus sign (or with its minus sign removed).
a. the opposite of 6 is -6
b. the opposite of -6 is -(-6) or 6
c. negative 6 is a description of the integer -6
d. 8 minus negative 8 is 8 - (-8)
4x + 3 in.
3(2x-5) in.
How long does it take an airplane to fly 4000 m if it maintains a speed of 200 meters per second?
Answer:
20 seconds.
Step-by-step explanation:
Divide 4000 by 200.
5x + 3y, when x = 4, and y=-3
Answer:
5x+3y, when x=4 and y= -3
5(4)+3(-3)=
20+ (-9)=
11
Step-by-step explanation:
Hope this helps. :)
Answer:
5x + 3y = 11
Step-by-step explanation:
x = 4 y = -3
=5x + 3y
=5(4) +3(-3)
=20 + (-9)
=11
When a number and variable are right beside each other it means that the number and the variable are being multiplied together, for example 5x. If x = 4 then it means that 5 and 4 are being multiplied.
(it might be wrong because I haven't done algebra in a long time)
What is 6/11 as a decimal
Answer:
0.54
Step-by-step explanation:
6 divided by 11 is 0.54-non-terminating therefore we get 0.54
Answer:
0.5455
Step-by-step explanation:
Plz choose mine as brainliest
What is not a description of slope?
rise over run
the rate of change of a line
change in y over the change in x
the ratio of horizontal change compared to vertical change
Answer:
Option (d) is wrong.
Step-by-step explanation:
Slope is:
rise over runThe rate of change of a lineChange in y over the change in xThe ratio of vertical change to the horizontal change.It can be given by mathematically as follows :
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{and}\\\\m=\dfrac{dy}{dx}[/tex]
Hence, the option which is not a description of slope is (d) "the ratio of horizontal change compared to vertical change"
This summer Paige's town will be hosting a series of 9 concerts. There are two types of seats at the concerts, which are priced at $29.50 and $43.00. Paige would like to attend at least 5 concerts and spend no more than $200. If x and y represent the number of tickets Paige purchased for the 2 types of seats, which system of inequalities could Paige use to model this situation?
Answer:
x ≥ 0
y ≥ 0
x + y ≥ 5
29.50 × x + 43.00 × y ≤ 200
= 29.50x + 43y ≤ 200
Step-by-step explanation:
From the question we are told that:
If x and y represent the number of tickets Paige purchased for the 2 types of seats, Paige would like to attend at least 5 concerts.
The inequalities that models the situation above is given as:
x ≥ 0
y ≥ 0
x + y ≥ 5
Also from the question, we were told that: There are two types of seats at the concerts, which are priced at $29.50 and $43.00. Paige would like to attend at least 5 concerts and spend no more than $200.
The inequalities that models the situation above is given as:
29.50 × x + 43.00 × y ≤ 200
29.5x + 43y ≤ 200
Therefore, the system of inequalities that could Paige use to model this situation is:
x ≥ 0
y ≥ 0
x + y ≥ 5
29.50 × x + 43.00 × y ≤ 200
= 29.5x + 43y ≤ 200
Answer:
d) x ≥0
y ≥ 0
x + y ≥ 5
29.5x + 43y ≤ 200
Step-by-step explanation:
I want to pull all nighter and stay awake for 36 hours. If I woke up at 12 PM, and if it's currently 11:22 PM right now, then how long have I been awake?
( I actually need to know I'm pulling an all nighter to reset my sleep schedule)
Answer:
11 hours and 22 minutes
Mr stokes placed 5 marbles in a bag. I’m looking for A,B,C,D,E
Answer:
B,C,D,E,A
Step-by-step explanation:
Btw, Mr. Stokes from RTMS?
Please help me I am confused- qwq
$162.50 because if you add the percentages together, you get 35%
If you subtract 35% off of 250, you get 162.50
Rosea drives her car 30 kilometers to the train
station, where she boards a train to complete her trip. The
total trip is 120 kilometers. The average speed of the train is
20 kilometers per hour faster than that of the car. At what speed
must she drive her car if the total time for the trip is less than
2.5 hours?
Answer:
>34.88km/h
Step-by-step explanation:
Because we have two unknown values in this question (speed of train and speed of car), we will need two equations to solve it.
Firstly, we can make a big equation for time in terms of the vehicle speeds. Time = distance / speed, so if we use t for the train speed and c for the car speed, we get this equation for speed:
30/c + 90/t = 2.5
Here the 30 is the distance traveled by the car in km and the 90 is the distance traveled by the train in km (120 - 30 = 90).
We also know that the train speed was 20km/h faster than the car speed so our second equation is:
c + 20 = t
So now we can substitute this in the big equation so we only have one variable to solve for:
30/c + 90/(c+20) = 2.5
Now to solve this, this first step is to get rid of the fractions, which we can do by multiplying all the terms by the lowest common factor of the two denominators which is c(c+20):
(30/c)*c(c+20) + (90/c+20)*c(c+20) = 2.5
This simplifies to:
120c+600=2.5c^2+50c
and then into the quadratic equation:
2.5c^2-70c-600=0
This can be solved with the quadratic formula or a solver/calculator, and yields the solutions:
c=−6.88, 34.88 (both to 2dp)
We can eliminate the negative solution because speed cannot be negative meaning that Rosea must drive her car at the speed of at least/greater than 34.88km/h if she wants the total trip to be less than 2.5 hours.
Hope this helped!
a rectangular piece of metal is 15in longer then it is wide. squares with sides 3in long are cut from the four corners and the flaps are folded upward to form an open box. if the volume of the box is 1092in cubed what were the original dimensions of the piece of metal?
Step-by-step explanation:
Let x equal the width of the box and x + 15 equal the length of the box. Subtract 6 (the amount cut out) from both of the these to get the following terms: (x+9) and (x-6). These are the length and width of the box respectively. We also know that the height of the box is 3. Plugging these into the formula for the volume of a box gives you:
3(x+9)(x-6)=1092
Expanding this out gives:
3x^2+9x-162=1092
Subtract 1092 from both sides to make the quadratic equation equal zero. Plug the a, b and c coefficients into the quadratic formula (or factor) to find x.
3x^2 +9x-1254 = 0
a = 3 b = 9 c = -1254
I hope this helps :)
simplify 1/3(6x−12)+4x
Answer:
2⋅(3x−2)
Step-by-step explanation:
Select all the steps that you could use to subtract a negative fraction from a positive decimal. A. Subtract the absolute value of the decimal. B. Convert both numbers into fraction form. C. Convert both numbers into decimal form. D. Add the negative number to the positive number. E. Add the opposite of the negative number to the positive number.
the answers are A, D, and E
The problem can only be easily solved if the values are either all converted to fractions or all converted to decimal.
The steps that could be used to subtract a negative fraction from a positive decimal are;
Convert both numbers into fraction form Convert both numbers into decimal form Add the negative number to the positive numberIt is important that the both values are converted either to fraction or to decimal for ease of computation.
After this step is done, the negative number can now be added to the negative number and the result is recorded.
Learn more: https://brainly.com/question/13042975