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
Jackson is at colletibles fair. He has exactly $8 and will purchase a collectibles card from a vendor for $5. What percentage will jackson spend on the purchase?
A. 0.625%
B. 3%
C. 40%
D. 62.5%
Please help me out or explain how do i do it, but if you give me the answer ill give you brainliest!
Answers
Use the given information to solve for x.
x+3
2x-9
What is x?
Answers
Answer:9
Step-by-step explanation:
If g(x) = 4x-7 then g(1) = ?
Answers
Answer:
g(1) = -3
Step-by-step explanation:
g(x) = 4x-7
Let x=1
g(1) = 4*1 -7
= 4 -7
= -3
Answer:
-3
Step-by-step explanation:
A popular resort hotel has 300 rooms and is usually fully booked about 7% of the time a reservation is cancelled before the 6:00 pm deadline with no penalty. What is the probability that at least 285 rooms will be occipied? Use the binomial distribution to find the exact value and the normal approximation to the binomial and compare your answers.
Answers
Answer:
Binomial distribution = 0.1026
Normal approximation = 0.1066
Step-by-step explanation:
Given that :
p = 100% - 7% = 0.93
n = 300
1 - p = 0.07
Probability of atleast 285 rooms getting booked :
P(x = x) = nCx * p^x * (1-p)^(n-x)
To obtain P(x ≥ 285) ; we use a binomial probability calculator to save time :
P(x ≥ 285) = 0.1026
Using Normal approximation :
Mean (m) = np = 300 * 0.93 = 279
Standard deviation (s) = sqrt(np(1-p) = sqrt(285*0.07) = 4.419 = 4.42
Using :
Z = (x - m) / s
P(x ≥ 285) ; for normal approximation :P(x ≥ x) x = 285 - 0. 5 = 284.5
Z = (284.5 - 279) / 4.42
= 1.2443
P(Z ≥ 1.2443) = 0.1066 (Z probability calculator)
The area of the triangle is
square inches.
fill in the blanks
Answers
Answer:
48sq^2
Step-by-step explanation:
(12*8)/2
96/2
48
The value of a new car decreases by about 15% in the first year. How much will a car be worth after one year if its initial value was $1,500? If you get stuck, consider using diagrams or a table to organize your work.
Answers
Answer:
$12,750
Step-by-step explanation: when you do the math you get it your welcome my G
PLEASE HELP ME!! I WILL MARK BRAINLIEST!! :<
Write a LETTER addressed to your friend as a reply to his/her request. In your letter, discuss/explain to him/her using your own words how to add and subtract
polynomials. Use examples to show them the step by step process of adding and subtracting polynomials.
Answers
Answer:
You're welcome
Step-by-step explanation:
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
plz help me with mathhthhtht
Answers
Answer:
ok
Step-by-step explanation:
Answer:
1. 17
2. 4
3. 3
4. 9
Step-by-step explanation:
Help me answer b. c. I need help:(
Answers
Answer:I dont knwo the answer
Step-by-step explanation:tell em
Answer:
C
Step-by-step explanation:
I got it right
The diameter of the solar system is about 300,000,000,000,000 kilometers,
which can be written as 3 x 100 kilometers. What is n?
Answers
Answer:
D. 14.
Step-by-step explanation:
As we know, 10 to the second power is 100, to the third power is 1000, and so on. These powers add a zero to the number. Since PEMDAS tells us to do exponents before multiplication, we need to find what power of 10 gives us 100,000,000,000,000. Let's count all the zeros. There are 14 zeroes. This means our answer is D. 14. Let's check, though. 10 to the 14th power is 100,000,000,000,000, and that times 3 is 300,000,000,000,000. That means our answer is correct, it is in fact, D. I hope this helps!
Edit: I changed the answer from 13 to 14 because I realized that 13 is incorrect.
A cinema sold 1000 tickets on a Saturday evening. Adult tickets cost £9, children's tickets cost £5, and a total of £6680 was collected
If there are a Adult tickets and cChildren tickets, write down two simultaneous
equations connecting a and c.
Solve your equations to find how many tickets of each kind were sold.
A=
C=
Answers
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.......•.¸.•´
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☻/
/▌♥♥
/ \ ♥♥ PEANUT WINGS Just in time for holiday cookie season, we’ve discovered that the vanilla flavoring in your baked goods and candy could come from the butt hole excretions of beavers.
Maria made 252 calls in 36 days. What is the average number of calls he made in a day?
Answers
Answer:
7 calls in a day
Step-by-step explanation:
You divide 252 by 36 which equals 7
Answer:7 calls in a day
Step-by-step explanation:
What is the equation of the line whose y-Intercept is 3 and slope is 1?
Answers
y = x + 3
as x increases by 1, y increases by 1 (Slope)
when x equals 0, y equals 3 (y-intercept)
Kevyn is visiting France where they use the Euro instead of the dollar to pay for things. His grandparents give him $200 to spend on his trip. How many Euros is that? ($1.00 = 0.85 Euros)
Answers
Answer:
200$ equals 170 euros so he will have 170 euros
Find the value of x and the measure
Answers
Answer:
39°
Step-by-step explanation:
Complementary angles sum up to 90°
< JKL + < RST = 90
36 + x + 15 =90
51 + x = 90
x = 39°
Use the expression to complete the statements. (0.5)10 (0.5)10 is the . (0.5) is the of (0.5)10. 10 is the of (0.5)10. A power is another way to write .
Answers
Question:
Use the expression to complete the statements.
[tex](0.5)^{10\\[/tex]
________ is the power .
(0.5) is the ________
A ______ is another way to write
Answer:
0.5 is the base
10 is the power
[tex](0.5)^{10\\ = (\frac{1}{2})^{10}[/tex] -- another way to write
Step-by-step explanation:
Given
[tex](0.5)^{10\\[/tex]
Required
Fill ion the gaps
[tex](0.5)^{10\\[/tex] is pronounced as; 0.5 raise to the power of 10
From the above statement, we can deduce the following:
0.5 is the base
10 is the power
Lastly, another way to write [tex](0.5)^{10\\[/tex]
Express 0.5 as a fraction
[tex](\frac{5}{10})^{10}[/tex]
Simplify the fraction
[tex](\frac{5/5}{10/5})^{10}[/tex]
[tex](\frac{1}{2})^{10}[/tex]
Hence:
[tex](0.5)^{10\\ = (\frac{1}{2})^{10}[/tex]
The isosceles triangle has two sides with the same length. The base is one-half the length of a side. The expression which represents the perimeter, the distance around the triangle, is s + s + one-half s. What is the value of this expression if s = 8?
A triangle with 2 sides with length s.
Answers
Answer:
20 units
Step-by-step explanation:
s = 8
Perimeter = s + s + [tex]\frac{1}{2}*s[/tex]
[tex]= 8 + 8 + \frac{1}{2}*8[/tex]
= 8 + 8 + 4
= 20 units
S=8
1/2s=4
8+8+4=20
Answer is 20
x + 4 = -14 im frustraded i need an answer haha hewpppp
Answers
all u have to do is subtract 4! you do this because u want to isolate x so u subtract 4 from both sides. then you’ll have x= -18 !
A marching band is practicing. The band director sees the drum major hit a drum. How far away is the director if he hears the drumbeat in 0.40 seconds? The speed of sound is 330 m/s.
12 m
132 m
264 m
825 m
Answers
Answer:
132 m
Step-by-step explanation:
distance= speed*time
d=0.4*330
=132
The distance between the director and the drum will be; 132 m.
What is speed?Speed can be calculated as the ratio of distance traveled to the time taken.
Sound is a vibrate that move through a medium that can be solid, liquid or gas in the form of mechanical wave. In short, sound is an energy made by vibration.
Noted that the intensity of the sound is decrease by the length of the travel it pass or we can say, the far the sound source from the listener, the minor the sound they can hear.
The formula of the sound in correlation with time of hear and distance is ;
time of hear = speed of sound : distance.
As per data given, time of hear = 0.40s;
speed of sound = 330 m/s.
The distance will be:
Distance= speed x time
d = 0.4 x 330
d = 132
Learn more about speed here;
https://brainly.com/question/7359669
#SPJ6
What fraction is equivalent to 1/6
A. 3/8
B. 2/8
C. 3/24
D. 4/24
Answers
Answer:
C
Step-by-step explanation:
Because 24 divided by 3 = 8 and 3/8 has a denominator of 8 and you divide it by 3
could i have branliest and a heart please
Have a good day :)
find the simple interest for having $2600 in the bank for 4 years the rate is 5%
Answers
Answer:
130 a year, so it would be $520 interest for 4 years in the bank.
4.1 & 4.2 Review
1. Write an equation of the line with a slope of and a y-intercept of -8.
Answers
will give brainiest for this
Answers
Answer:
lol, u can still ask the question
Step-by-step explanation:
If pens cost 15 cents, how many can you buy with $3.00?
Answers
You can buy 20 pens
Plz help I’m getting timed
Answers
Answer:
$38,465
Step-by-step explanation:
35 x 1,099 = 38,465
Write the unit fraction depicted in the model as a percent.
One-fourth
Answers
Answer:
As
1/4×100 = 0.25×100
= 25%
Thus,
1/4 = 25%
Step-by-step explanation:
Given the fraction
1/4
In order to write the fraction 1/4 as a percent, all we need is to multiply 1/4 by 100.i.e.
1/4×100 = 0.25×100
= 25%
Therefore, we conclude that:
1/4 = 25%
elias is training for a marathon. The table shows the total number of miles he has run each 0 I
1 I 9 sorry i could not make a line so i use this > I for a line Please what is the rate.
2 I
3 I 21
4 I
5 I 33
Answers
Answer:
rate of 6
Step-by-step explanation:
i dont get 4 digit by 1 digit multiplcation
Answers
Answer:
we know
Step-by-step explanation:
An object with a motional kinetic energy of 96J. Its velocity is 4m/s. What is its mass?
Answers
96 = 1/2m(16)
96 = 8m
m = 12 kg