Answers
Answer:
The equivalent expressions are:
[tex]4\left(4a+5\right)=16a+20[/tex]
[tex]=2\left(8a+10\right)[/tex]
[tex]=12a+20+4a[/tex]
Yes, 16a+20 could be further reduced by taking 2 as a common factor.
i.e. 16a+20 = 2(8a+10)
Step-by-step explanation:
Given the expression
[tex]4(4a+5)[/tex]solving the expression to determine the equivalent expression
[tex]4\left(4a+5\right)[/tex]
[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac[/tex]
[tex]4\left(4a+5\right)=4\cdot \:\:4a+4\cdot \:\:5[/tex]
[tex]=16a+20[/tex]
Taking 2 as the common factor
[tex]=2\left(8a+10\right)[/tex]
Also
[tex]12a+20+4a = 16a+20[/tex]
Therefore, the equivalent expressions are:
[tex]4\left(4a+5\right)=16a+20[/tex]
[tex]=2\left(8a+10\right)[/tex]
[tex]=12a+20+4a[/tex]
Yes, 16a+20 could be further reduced by taking 2 as a common factor.
i.e. 16a+20 = 2(8a+10)
Related Questions
Question 1 (10 points)
(03.01 MC)
A video game is on sale at Amazon for 30% off the original price of $28.50. Both Pat and Henri want to purchase the game, but they only have $22 each. They each have to pay 10% sales tax. Pat and Henri have different strategies to calculate the price and decide if they have enough money to get the game.
Pat takes 30% of $28.50 and subtracts that from the original price. She takes 10% of the sale price and adds it to the sale price to find the total amount she would have to pay.
Henri finds 70% of the original price and then calculates 110% of the sale price.
Will Pat's strategy calculate the correct total? Explain the calculations.
Will Henri's strategy calculate the correct total? Explain the calculations.
Do they each have enough to purchase the game?
Explain your answers using complete sentences and show your work. (50 points)
Answers
Answer:
hiiii we meet again.......
Solve for w. 57 =4w + 13 Simplify your answer as much as possible.
Answers
Step-by-step explanation:
57=4w+13
57-13=4w
44=4w
w=11
The factory pays 7 cents per kWh for energy. Find the cost for each bulb type at 0 hours of use and at 10,000 hours of use. Show your work. (4 points: 1 point for each of the four costs)
(I already found the zero hours, I just need help figuring out how to do the other part of the problem) Thanks SO much!
Answers
Answer:
I LOST ALL MY POINTS nnoo
40,000 80,000.
Step-by-step explanation:
have a nice day
A car traveled 180 miles at a constant rate. Write an equation that would make it easy to find the rate at which the car was traveling in miles per hour r, if it traveled for t hours
Answers
Answer:
A. Distance travelled at constant rate = 180 miles
Rate of travel (r) = distance travelled (d) /time (t)
Travel time (hrs) ==> rate of travel (miles/hr)
5 ==> 180/5 = 36
4.5 ==> 180/4.5 = 40
3 ==> 180/3 = 60
2.25 ==> 180/2.25 = 80
B. t = time travelled in hrs,
r = rate (miles/hr)
d = distance travelled = 180
Answer:
180/t
Step-by-step explanation:
Speed=distance/time
If two angles of a traingle measure 54° and 77° what is the measure of the third angle
Answers
Answer:
49°
Step-by-step explanation:
The total sum of angles in a triangle is 180°. You already know two of the angles, so you can find the last one.
Third angle = 180° - 54° - 77°
= 49°
Help I’m on gradpoint!
Answers
HELP ME PLS IM DUMB
Answers
Answer:
Step-by-step explanation:
Slopes: - [tex]\frac{7}{3}[/tex] and -x
y- intercepts: 3 and -6
13
Complete the table of equivalent ratios.
9
5
10
20
25
Answers
Answer:
Step-by-step explanation:
3 6 9 12 15
5 10 15 20 25
what is the product of 9+10
Answers
Answer:
19
Step-by-step explanation:
Umm just add I guess
Answer:
19
Step-by-step explanation:
because if you draw nine sticks then add 10 sticks and count them all at the end you will have 19 sticks
solve the right angle trig problem.
Answers
Answer:
x = 9.23919
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tan∅ = opposite over adjacentStep-by-step explanation:
Step 1: Define
We are given a right triangle. We can use trig to find the missing length.
Step 2: Identify Variables
POV from the angle measure
Angle = 57°
Opposite = x
Adjacent = 6
Step 3: Solve for x
Substitute: tan57° = x/6Isolate x: 6tan57° = xEvaluate: 9.23919 = xRewrite: x = 9.239199514 1404 393
Answer:
x ≈ 9.24H ≈ 11.02Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationships.
Tan = Opposite/Adjacent
tan(57°) = x/6
x = 6·tan(57°) ≈ 9.24
__
The complete solution of the triangle will also find a value for H.
Cos = Adjacent/Hypotenuse
cos(57°) = 6/H
H = 6/cos(57°) ≈ 11.02
_____
Comment on the figure
We note that, in relation to the given angle, the markings O and A are reversed. The side labeled 6 is adjacent (A) to the marked angle, and the side labeled x is opposite (O) to the marked angle.
A number x with an exponent of -n means
blank. a) Find the nth root of x
b) Find the xth root of n
c) Take the reciprocal of x
d) Take the reciprocal of x to the nth power
Answers
Answer:
C) Take the reciprocal of x
Step-by-step explanation:
That's my answer
Help pls
Solve one step equation
-6x - 13 =23
Answers
Answer:
x=-6
Step-by-step explanation:
Answer:
x = -6
Step-by-step explanation:
move the 13 to the right side of the equation
-6x = 36 and the divide by -6
x= -6
According to Ohm's Law, in an electrical circuit the voltage V (in volts) is related to the current I (in amps) and the resistance R (in ohms) by V = TR. Sup pose that when the current is 5 amps and the resistance is 6 ohms, the current is increasing by 0.3 amps/minute. What will be the rate of change of the resistance at that moment if the voltage remains unchanged? Make sure your answer has units! .
Answers
Answer:
The resistance is decreasing at a rate of 0.36 ohms/minute.
Step-by-step explanation:
The mathematical form of the Ohm's law is given by :
V = IR ...(1)
Where V is voltage, I is current and R is resistance
Given,
I = 5 A
R = 6 ohms
dI/dt = 0.3 A/min
Differentiate equation (1) wrt t:
[tex]\dfrac{dV}{dt}=I\dfrac{dR}{dt}+R\dfrac{dI}{dt}[/tex]
When V is constant, dV/dt = 0
[tex]0=5\times \dfrac{dR}{dt}+6\times 0.3\ A/s\\\\1.8=-5\times \dfrac{dR}{dt}\\\\\dfrac{dR}{dt}=-0.36\ \Omega/min[/tex]
So, the resistance is decreasing at a rate of 0.36 ohms/minute.
What is the slope for this (-1,5) (2,-4)
Answers
Answer:
Slope = -[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
To find the slope, you have to calculate the rise over run between two points.
[tex]\frac{rise}{run}[/tex] = [tex]\frac{2-(-1)}{(-4)-5}[/tex]
= [tex]\frac{3}{-9}[/tex]
= -[tex]\frac{1}{3}[/tex]
Find the cost of erecting a 6 m by 4 m rectangular garden shed that is 2 m high if
the metal sheeting costs shs58,500 per square metre.
Answers
Answer:
2320000
Step-by-step explanation
work out the perimeter first 6+4 times 2= 20
20 time 2m high=40
40 times 58000= 2320000
IS THIS GRAPH A FUNCTION? YES OR NO
Answers
Answer:
no, because multiple x-values repeat
Step-by-step explanation:
You and your friend go to tacos Galore for lunch. You order 3 soft tacos and 4 burritos and your bill comes out to $18.00. Your friend's bill is $10.00 for two soft tacos and two burritos whats the cost of the soft tacos and the cost of a burrito
Answers
Answer:
Soft Tacos = 2
Burritos= 3
Step-by-step explanation:
You
3 x 2 = 6
18 - 6 = 12
12/4= 3
You spent 6$ on soft tacos and 12$ on burritos.
Your friend
2 x 2 = 4
10-4 = 6
6/2 = 3
Your friend spent 4$ on soft tacos and 6$ on burritos.
I hope I explained this well.
What’s 9 + 10 =
???????????????????????????????????
Answers
Answer:
19
Step-by-step explanation:
21 :)
1. Graham is hiking at an altitude of 14,040 feet
and is descending 50 feet each minute. Max is
hiking at an altitude of 12,500 feet and is
ascending 20 feet each minute. How many
minutes will it take Graham and Max to meet at
the same altitude ?
a. Equation:
1
2
. Solution:
2. At what altitude will Graham and Max meet?
3
Answers
Answer: Equation 1 to find the time: A₁ - r₁t = A₂ + r₂t Solve for t
14040 - 50t = 12500 + 20t t is the number of minutes
Equation 2 to find the altitude: A₁ - r₁t = A₂ + r₂t A₁ and r₁ are Grahams initial altitude and rate. Use given rates, calculated time and solve for A.
A₂ and r₂ are Max's initial altitude and rate.
They will meet in 22 minutes
They will meet at 12940 ft altitude
Step-by-step explanation: Their original heights plus/minus the altitude change per minute (rate) and the time will be equal when they meet.
14040 - 50t = 12500 + 20t subtract 12500 from both sides; add 50t to both sides.
14040-12500 = 20t + 50t
1540 = 70x
22 = t They will meet in 22 minutes.
To get the altitude where they meet, Multiply the time by the rate for each climber. Add or subtract per equation: A₁ - r₁t = A₂ + r₂t
14040 - 22(50) = 12500 + 22(20)
Graham: 22 min × 50ft/min = 1100 ft
Subtract from his starting altitude:
14040 - 1100 = 12940 ft
Max: 22 min ×20 ft/min = 440 ft
Add to his starting altitude
12500 + 440 = 12940 ft
Answer:
Answer:
M=22, hope this helps
Step-by-step explanation:
Set up Graham's altitude function A(m):
A(m) = 14040 - 50m <-- we subtract for descending
Set up Max's altitude function A(m):
A(m) = 12500 + 20m <-- we add for ascending
Set the altitudes equal to each other to solve for m:
14040 - 50m = 12500 + 20m
We type this equation into our search engine to solve for m and we get:
m = 22
Will mark as brainliest!!!!!!!!!!
Answers
Answer:
hi I just wanna talk ;)
Step-by-step explanation:
5+9(1)+2^2
due in 4 mins please show work
Answers
Answer:
The answer is 18
Step-by-step explanation:
5+9(1)+2^2
=5+9+4
=18
Answer:
18
Step-by-step explanation:
9*1=9
2^2=4
9+4+5=18
NEED HELP ASAP FUE TODAY
WILL GIVE BRAINLIEST FOR ANSWER
Answers
Answer:
there are 3/8 cups in 1/4 cups
Step-by-step explanation:
Which pair of angles must be supplementary?
O 1 and 6
O 2 and 5
O 5 and 4
O Z6 and2
Answers
Where’s the image? There has to be an image showing the angles to see which pairs of angles are supplementary.
what is 3231.07607315 rounded two decimal places
Answers
Answer:
3231.08
Step-by-step explanation:
6 rounds up
Answer:
3231.08
Step-by-step explanation:
Whenever you have a 90 degree rotation you need to switch your x and y values.
True
False
Answers
Answer:
true
Step-by-step explanation:
hope its help bro
ok
ldentify the type of function represented by f(x)= 3(1.5)x.
A. Linear
B. Quadratic
C. Exponential decay
D. Exponential growth
Answers
Answer:
the function is represented by linear because the units are the same
We need to solve for x
Answers
The formula s=√A4.828 can be used to approximate the side length s of a regular octagon with area A. A stop sign is shaped like a regular octagon with a side length of 12.4 inches. To the nearest square inch, what is the area of the stop sign?
inches²
Answers
Answer:742
Step-by-step explanation:
7. Which criteria for triangle congruence allows
you to immediately conclude that the triangles
are congruent with any extra steps?
a.
b.
SAS
AAS
HL
none
C.
Answers
Answer:
Option (B)
Step-by-step explanation:
From the figure attached,
Given:
AB ≅ CD
To prove :
ΔABC ≅ ΔCDA
Statements Reasons
1). AB ≅ CD 1). Given
2). AC ≅ AC 2). Given
3). ΔABC ≅ΔCDA 3). HL property of congruence
Therefore, Option (B) is the correct option.
Answer:
the answer is aas
Step-by-step explanation:
im sure u aint go read dis but the explanation is that the congruency of aas also know as angle-angle-side shows and appears many times due to the fact that if u were to split the two triangles apart there would be to angles and one side on each triangle
3/5 x 5/7 = ????????????????????????
Answers
Answer:
3/7
Step-by-step explanation:
already learn that