[tex]A = \dfrac 12 (b_1 + b_2)h\\\\\implies 2A = (b_1+b_2) h\\\\\implies h =\dfrac{2A}{b_1+b_2}[/tex]
If A=−2x+8 and B=2x−4, find an expression that equals 2A+B in standard form.
Answer: -2x + 12
Step-by-step explanation:
2A + B = 2(-2x + 8) + (2x - 4) = -4x + 16 + 2x - 4 = -2x + 12
A local rectangular shaped pool used by lap swimmers has dimensions 25 yd by 26 yd and is 5.1 feet deep. Find the cost for filling the pool if the city charges $1.50 per 1000 gallons. Use the conversion 1 gallon = 0.134 cubic ft.
Round your answer to two decimal places.
The cost for filling the pool if the city charges $1.50 per 1000 gallons is $333.97
Given:
Length = 25 yd
width = 26 yd
Height = 5.1 ft
convert yard to feet
25 yd = 75 ft
26 ft = 78 ft
Volume of the pool = length × width× height
= 75 × 78 × 5.1
= 29,835 cubic ft
1 gallon = 0.134 cubic ft.
222,649.3 gallon = 29,835 ft
charges per 1000 gallon = $1.50
Total charges = 222,649.3 gallon / 1000 gallon × $1.50
= 222.6493 × 1.50
= 333.97395
Approximately,
$333.97
Therefore, the cost for filling the pool if the city charges $1.50 per 1000 gallons is $333.97
Learn more about volume:
https://brainly.com/question/12978944
help pls :) solve x+4/3 = 3/x-4
i’ve also attached a picture of the problem if you get confused on the typing
Answer:
x= 5 or x= -5
Step-by-step explanation:
[tex] \frac{x + 4}{3} = \frac{3}{x - 4} [/tex]
Cross multiply:
(x +4)(x -4)= 3(3)
Expand:
[tex]\boxed{a {}^{2} - {b}^{2} = (a + b)(a - b)}[/tex]
x² -4²= 9
x² -16= 9
+16 on both sides:
x²= 9 +16
x²= 25
Square root both sides:
[tex]x = ± \sqrt{25} [/tex]
x= 5 or x= -5
Given that:
[(x+4)/3] = [3/(x-4)]
We know that
(a/b) = (c/d)
⇛a(d) = b(c)
Now,
By using cross multiplying fraction, we get
⇛x+4(x-4) = 3(3)
⇛x(x-4) + 4(x-4) = 9
⇛x² - 4x + 4x - 16 = 9
⇛x² - 0 -16 = 9
⇛x² = 9+16
⇛x² = 25
⇛x = √(25)
⇛x = ±√(5*5)
⇛x = ±5 = +5 or -5 Ans.
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Find the area in square feet of a rectangle with a base of 3 feet and a height of 4 1/3 feet.
Answer:
13 ft^2
Step-by-step explanation:
Area = Base * Height
= 3 * (4+1/3)
=3*(13/3)
=13
The sum of the angle measures of a triangle is 180°. Find the value of x. Then find the angle measures of the triangle.
Answer:
x = 4343°, 51°, 86°Step-by-step explanation:
The sum of the angles is ...
x° + (x +8)° + 2x° = 180°
4x +8 = 180 . . . . . . . . . . . collect terms, divide by °
x +2 = 45 . . . . . . . . . . divide by 4
x = 43 . . . . . . . . . . subtract 2
x +8 = 51
2x = 86
The angles are 43°, 51°, 86°.
A textbook store sold a combined total of 272 biology and math textbooks in a week. The number of math textbooks sold was 50 less than the number of biology textbooks sold. How many textbooks of each type were sold? Number of biology textbooks sold: number of math textbooks sold:
Answer:
b = 161, m = 111
Step-by-step explanation:
b + m = 272
m + 50 = b
Substitute
m + 50 + m = 272
2m = 222
m = 111
Plug in for m
b + 111 = 272
b = 161
9x2+8x(5x-4) simplify
Therefore, -14x + 40x² is the answer.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
Sharon wants to buy a shirt that cost $60. The sales tax is 5%. How much is the sales tax. What is her total cost for the shirt?
Find all numbers that satisfy the given condition. 1. Three less than twice the sum of a number and 6 is at most 13. 2. Five less than 3 times the sum of a number and 4 is at most 10. 3. Five times the sum of a number and 3 is at least 5. 4. Three times the difference between a number and 2 is at least 12. 5. The sum of 3 times a number and 8 is between 2 and 20. 6. Eight less than twice a number is between -20 and -8. 7. Four subtracted from three times some number is between -4 and 14. 8. Nine subtracted from 5 times some number is between 1 and 11.
Number be x
#1
[tex]\\ \sf\hookrightarrow 2(x+6)-3\leqslant=13[/tex]
#2
[tex]\\ \sf\hookrightarrow 3(x+4)-5\leqslant 10[/tex]
#3
[tex]\\ \sf\hookrightarrow 5(x+3)\geqslant 5[/tex]
#4
[tex]\\ \sf\hookrightarrow 3(x-2)\leqslant 12[/tex]
#5
[tex]\\ \sf\hookrightarrow 2\leqslant 3x+8\leqslant 20[/tex]
#6
[tex]\\ \sf\hookrightarrow -20\leqslant 2x-8\leqslant -8[/tex]
#7
[tex]\\ \sf\hookrightarrow -4\leqslant 3x-4\leqslant 14[/tex]
1. 2h−3(3−h)+ _=5h−8
Make equation have infinite solution
2. −k+_(k+1)=2k
make equation have no solution
Answer:
HOPE THAT HELPS BUT I DO NOT HAVE ANSWER
Step-by-step explanation:
3×2k=????
3×5=??
6×k=??
6×4=??
then put all those together in a 2 step equation and then add 9 to the answer
If we end up with the same term on both sides of the equal sign, such as 4 = 4 or 4x = 4x, then we have infinite solutions. If we end up with different numbers on either side of the equal sign, as in 4 = 5, then we have no solutions.
Brittany works at the local fish hatchery. Her job is to unload the boxes of fish food. What is the surface area in square feet of the entire package? The package is a rectangular box.
Answer:
4.25 sq. ft
Step-by-step explanation:
l = 24
w = 0.5
h = 12
SA = 2lw + 2lh + 2wh
2*(12*0.5 + 24*0.5 + 12*24) = 612 sq. in = 4.25 sq. ft
Find the value of x.
Answer:
Step-by-step explanation:
The top left angle is 55 (alternate interior angles).
x + 100 + 55 = 180 All triangles are made up of 180 degrees
x + 155 = 180 Subtract 155 from both sides.
x = 180 - 155 Combine
x = 25
Hence, 'x = 25°' is the value of 'x'
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
what is linear spline?
9Linear splines
The linear spline represents a set of line segments between the two adjacent data points (Vk,Ik) and (Vk+1,Ik+1). ... The linear spline is constructed for each interval V = [Vk,Vk+1] independently and it matches the data values (Vk,Ik) for k=0,1,...,n.
1) A museum borrows $2,000,000 at simple annual interest to purchase new exhibits. Let x represent the amount borrowed at 7%, y represent the amount borrowed at 8.5%, and z represent the amount borrowed at 9.5%. Set up a system of linear equations to determine how much is borrowed at each rate given that the total annual interest is $169,750 and the amount borrowed at 8.5% is four times the amount borrowed at 9.5%. Then write the system in matrix form. You do not have to solve the system.
Based on the information the amount borrowed at each rate is:
Z=9.5%=$350,000Y= 8.5%=$1,400,000X=7% =$250,000Let x=9.5%
Let 4x= 8.5%
Let 7% =$2,000,000 - 5x
Formulate
0.095x + 0.085(4x) + 0.07(2,000,000-5x) = 169,750
Collect like terms
0.095x + 0.34x + 140,000 - 0.35x = 169,750
Divide both side by 0.085x
0.085x = 29,750
x=29,750/0.085
x =$350,000
Amount borrowed at each rate:
Z=9.5% =$350,000
Y= 8.5% =$350,000×4
Y= 8.5% =$1,400,000
X=7% =$2,000,000 - 5($350,000)
X=7%=$2,000,000-$1,750,000
X=7% =$250,000
Matrix form
Z $350,000
Y $1,400,000
X $250,000
Inconclusion the amount borrowed at each rate is: $350,000; $1,400,000; $250,000.
Learn more about amount borrowed here:https://brainly.com/question/24576997
What does this equal 2(4+5) over 3
Carpet Company A
c = 1.35y + 100
where c is the cost and y is the number of square yards.
Carpet Company B
This company charges $2.05 per square yard for the carpet and the installation.
Identify the unit rate in dollars per square yard for each carpet company.
Answer:
2.45
Step-by-step explanation:
A triangular prism is 18 centimeters long and has a triangular face with a base of 12 centimeters and a height of 8 centimeters. The other two sides of the triangle are each 10 centimeters.
What is the surface area of the triangular prism?
Answer:
672 sq cm
Step-by-step explanation:
Each triangular base is 1/2 (12 * 8) or 48, making them = 96.
One of the sides is 12 x 18 = 216
The other 2 sides are 10 x 18 = 180 x 2 = 360
Add them all together to get 672 sq cm
Which statement is the correct interpretation of the inequality −4 > −5? (5 points)
Question 7 options:
1)
On a number line, −4 is located to the left of 0 and −5 is located to the right of 0.
2)
On a number line, −4 is located to the right of 0 and −5 is located to the left of 0.
3)
On a number line, −4 is located to the right of −5.
4)
On a number line, −4 is located to the left of −5.
Answer:
On a number line, -4 is located to the right of -5
Step-by-step explanation:
Answer:
On a number line, -4 is located to the right of -5.
Step-by-step explanation:
this is correct, also I don't take credit for it the person above me is the original. :)
What is the quotient? -4/5 ÷ 2
A sequence begins with-3. Each term is calculated by multiplying the previous term by -4, then subtracting 1.
Which option correctly represents the sequence described?
A -3, 11, -45, 179, ...
B {-3, -13, -53, -213, ...}
C. {-3, 11, -45, 179, ...}
D -3, -13, -53, -213,...
Answer:
A
Step-by-step explanation:
We know that to find the next term we have to do
-3(-4)-1, which is equal to 11.
There are only to solutions with the '11' as the second term, A and C.
It can't be C as curly brackets state a set of numbers.
Find the value of x.
Answer:
9
Step-by-step explanation:
yeah, 9...........right???
here are vaccinations for all of the following except __________
Question 10 options:
hepatitis C.
chicken pox.
tuberculosis.
mumps.
Answer:
Hepatitis C.
Step-by-step explanation:
which of the following is NOT a rational number, -n its like on top of it, -4/7, 3/5 or 2/3
Step-by-step explanation:
i am very sorry but I don't know the answer
Find the graph for the equation y=|x-3|-6?
Answer:
Step-by-step explanation:
Please help
Use the function f(x)=2−5x to fill out the table.
x f(x)
-2 ___
-1 ___
0 ___
1 ___
2 ___
Answer:
-2 12
-1 7
0 2
1 -3
2 -8
Step-by-step explanation:
[] With the function f(x)=2−5x we can tell that we will plug x into the equation without doing anything to it (x)
-2 ___
f(-2) = 2−5x
f(-2) = 2−5(-2)
f(-2) = 2 + 10
f(-2) = 12
-1 ___
f(-1) = 2−5x
f(-1) = 2−5(-1)
f(-1) = 2 + 5
f(-1) = 7
0 ___
f(0) = 2−5x
f(0) = 2−5(0)
f(0) = 2
1 ___
f(1) = 2−5x
f(1) = 2−5(1)
f(1) = 2 - 5
f(1) = -3
2 ___
f(2) = 2−5x
f(2) = 2−5(2)
f(2) = 2−5(2)
f(2) = 2−10
f(2) = -8
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
SCO
Sarah put 15 gumdrops on the roof of her
gingerbread house. How many gumdrops
will she need to make 16 more houses
exactly like this one?
MY
gumdrops
Answer: 240 gumdrops
Step-by-step explanation:
1 house: 15 gumdrops
16 houses : 240 gumdrops
1 x 16 = 16
15 x 16 = 240
someone pleaseeee answer!!!
Answer:
6.633
Step-by-step explanation:
on a triangle with angle measures of 30, 60, 90, the shortest side will be 'x', second longest will be 'x times square root of 3' and hypotenuse will be '2x'.
in this problem, x is the hypotenuse and x= square root of 11. sorry my explanation sucks. basically, 2× square root 11 = 6.633. again. sorry i made no sense.
please help me on this
Answer:
3
Step-by-step explanation:
2 + 3 = 7
--- --- ---
6 6 6
Tutorial
A line with a slope of 1 passes through the point (-2, -3). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 1 , then
y = x + c ← is the partial equation
To find c substitute (- 2, - 3 ) into the partial equation
- 3 = - 2 + c ⇒ c = - 3 + 2 = - 1
y = x - 1 ← equation of line
Max's parents bought $8,000 from the bank for a new car. The interest rate is 6% per year. How much simple interest will they pay if they take 3 years to repay the loan?
Answer:
1440
Step-by-step explanation: