Given:
The expression is
[tex]13ab+15ab[/tex]
To find:
The equivalent expressions in factored form.
Solution:
We have,
[tex]13ab+15ab[/tex]
In the given terms 13ab and 15ab, then common factors are only a and b because 13 is a prime number. So, the greatest common factor is ab.
Distributive property of multiplication over addition:
[tex]a(b+c)=ab+ac[/tex]
By using greatest common factor and the distributive property, we get
[tex]13ab+15ab=ab(13+15)[/tex]
[tex]13ab+15ab=ab(28)[/tex]
[tex]13ab+15ab=28ab[/tex]
Therefore, the required equivalent expression is [tex]28ab[/tex].
2(2x2 + 3) =
Example how you got the answer
Answer:
22
Step-by-step explanation:
4x4+6
16+6
=22
Answer:
14
Step-by-step explanation:
i used pemdas so fist i multiplied 2x2 then added 3 them multiplied 7 with 2 which gets us 14.
hey please help, in your own words, what is a radical expression?
What is the missing term?
-4.-12.x
12.-4 .
2x
?
2.2
3х
+1
Answer:
Step-by-step explanation:
The question is not displaying correctly.
4x·3x = 12x²
13. How can you use estimation to find
92 +92 +92 +92 +92?
Answer:
bye adding them in your head
this killing me pls help ♀️
Help plz with a math problem
Answer:
Profit 527
Profit percent 0.085
1897 rounded to the nearest 1000
Answer:
200
Step-by-step explanation:
2000 because 8 is big so you are able to round it to become 2 in the 1000
Can anyone explain polynomials in a way that makes sense lol?
Answer:
Answer:
well here's the def. maybe this can help you sum up answer
*polynomial
[ pol-uh-noh-mee-uhl ]SHOW IPA
adjective
consisting of or characterized by two or more names or terms.
noun
Algebra.
(in one variable) an expression consisting of the sum of two or more terms each of which is the product of a constant and a variable raised to an integral power: ax2 + bx + c is a polynomial, where a, b, and c are constants and x is a variable.
a similar expression in more than one variable, as 4x2y3 − 3xy + 5x + 7.
Now Rare.Also called multinomial. any expression consisting of the sum of two or more terms, as 4x3 + cos x.
a polynomial name or term.
Biology. a species name containing more than two terms.
:
Please and Thank You
Mary multiplied 425.32 by 981.21 and got an answer of 41,732,823.72.
Use estimation to see if her answer is reasonable.
A. No, the answer is about 400,000,000
B. No the answer is about 4,000,000
C. No, the answer is about 400,000
D. No, the answer is about 40,000
(Show your work here.)
Bruno is a manager at a factory that makes in-line skates. The equation 200x - y + 500 = 0 relates y, the number of pairs of skates the factory has in the warehouse and x, the number of hours after bruno starts his shift. Show that the equation is a linear equation by writing it in a slope-intercept form. Show your work
Answer:
Slope- intercept form y = 200 x + 500
Step-by-step explanation:
Explanation:-
Given that the equation
200x - y + 500 = 0
where y, the number of pairs of skates the factory has in the warehouse, and x be the number of hours
The slope-intercept form
y = m x +C
Given equation 200x - y + 500 = 0
200 x + 500 =y
y = 200 x + 500
Slope of the equation m = 200 and y-intercept 'C' = 500
Anyone know how to do 5c???? Please help!!!!!
Answer:
71° F
Step-by-step explanation:
Consider the rational part of f(t)
[tex]\frac{40t^3}{t^3+100}[/tex] ( divide numerator and denominator by t³
= [tex]\frac{40}{1+\frac{100}{t^3} }[/tex]
As t → infinity then [tex]\frac{100}{t^3}[/tex] → 0 , the expression simplifies to
[tex]\frac{40}{1+0}[/tex] = [tex]\frac{40}{1}[/tex] = 40
Thus after driving for a long time
f(t) = 31 + 40 = 71° F
A population of 55 foxes in a wildlife preserve quadruples in size every 11 years. The function y equals 55 times 4 Superscript x, where x is the number of 11-year periods, models the population growth. How many foxes will there be after 33 years?
Answer:
Step-by-step explanation:
55*4^(33/11) = 55*4^3 = 55*64 = 3520
What is the area of the figure below?
Answer:
104
Explanation:
1. Split the figure by the line the larger portion creates.
2. Calculate the area of the left-hand side... 7 · 8 = 56cm squared.
3. You know that the total length of the figure is 15cm. You've already "used" 7cm of that. So... 15 - 7 = 8.
4. Now, we simply do 6 · 8 = 48. Almost there!
5. Finally, add the values of the left side and the right side (48 + 56 = 104)
6. YOUR ANSWER IS 104 cm squared.
Two out of every 12 students in a class say history is their favourite subject. There are 24 students in the class. How many students like history best?
Determine if the following ratios form proportions.
1.) 1 to 3 and 7 to 21
2.) 3 to 4 and 24 to 18
3.)1:5 and 6:30
for brainiest:)
Answer:
1. Proportional
2. Not proportional
3. Proportional
Step-by-step explanation:
We have three questions with 2 ratios and are asked if they are proportional or not.
To define proportionality, basically its if the two ratios equal the same value when put in a certain way.
And that way is :
[tex]\frac{x}{y} =\frac{x}{y}[/tex]
You will substitute the numbers with the letters, in which you will cross multiply :
[tex]\frac{x * y}{x*y}[/tex]
So subtitute :
1.
[tex]\frac{1}{3} *\frac{7}{21}[/tex]
[tex]\frac{1*21}{7*3}[/tex]
[tex]21=21[/tex]
Therefore 1. is proportional.
2.
[tex]\frac{3}{4} *\frac{24}{18}[/tex]
[tex]\frac{4*24}{3*18}[/tex]
[tex]\frac{96}{54}[/tex]
96 = 54
Therefore 2. is not proportional.
3.
[tex]\frac{1}{5} *\frac{6}{30}[/tex]
[tex]\frac{1*30}{5*6}[/tex]
[tex]\frac{30}{30}[/tex]
30 = 30
Therefore 3. is proportional.
common denominator for 3/5 and 1/2
Answer: 10
Step-by-step explanation:
To find a common denominator, simply multiply the denominator and numerator of one fraction by the denominator and numerator of the other. Then repeat.
3*2/5*2 = 6/10
1*5/2*5=5/10
As you can see, the denominator of both fractions is 10.
Hope it helps and lmk if you need further explanation :)
which equation would be the easiest to solve first by using the substitution method? EXPLAIN WHY
equation 1: 3x+5y= -8
equation 2: x- 2y=1
Answer:
Equation 2: x - 2y = 1
Step-by-step explanation:
The equations easiest to use substitution are the ones that have the variable multiplied by one, as in the case of Eq. 2 where x is 1x, so if you substitute a zero for x, we know that y has to be -1/2 for the equation to be true. Furthermore, if you substitute a 0 for y you automatically know that x = 1.
If you try to substitute anything for x in equation 1, let's say x = 1, you still have to multipy by 3, then the rest of the problem would be more steps.
help pls i’m slow :(((((((
Answer:
10ft
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
there is a 5 ft difference
only correct answer ...
not for points .
with explaination !!!!.
the diameter of rectangular box are in the ratio 2:3:5 and difference between the cost of covering with sheet of paper at the rate of ₹4 and ₹4.50 per m² is 416 . Find the dimension of box .
Answer: 166.4/249.6/416
Step-by-step explanation:
-PLEASE HELP ASAP-
The first figure is dilated to form the second figure.
Which statement is true?
A)The scale factor is 0.25.
B)The scale factor is 4.
C)The scale factor is 4.35.
D)The scale factor is 7.25.
Answer:
C
Step-by-step explanation:
5.8 - 4.35= 1.45
solve for x and y 5x + 3y=35, 2x+4y=28
Answer:
Step-by-step explanation:
Let's solve your system by substitution.
5x+3y=35;2x+4y=28
Step: Solve 5x+3y=35 for x:
5x+3y=35
5x+3y+−3y=35+−3y(Add -3y to both sides)
5x=−3y+35
5x/ 5 = −3y+35/ 5 (Divide both sides by 5)
Step: Substitute −3/ 5 y+7 for x in 2x+4y=28:
2x+4y=28
2( −3/ 5 y+7)+4y=28
14/ 5 y+14=28 (Simplify both sides of the equation)
14/ 5 y+14+−14=28+−14 (Add -14 to both sides)
14/ 5 y=14
14/ 5 y/ 14/ 5 = 14/ 14/ 5
(Divide both sides by 14/5)
y=5
Step: Substitute 5 for y in x= −3/ 5 y+7:
x= −3/ 5 y+7
x= −3/ 5 (5)+7
x=4 (Simplify both sides of the equation)
Answer:
x=4 and y=5
A snail travels at an average speed of 0.1 feet per hour for 15 minutes. How many feet will the snail travel?
Answer:
1.5 Feet
Step-by-step explanation:
15 x .1 = 1.5
which number line represents the solution set for the inequality?
Answer:
b) x > 3
Step-by-step explanation:
24 - 12x < 6x - 30
54 - 12x < 6x
54 < 18x
3 < x or x > 3
can you help me on part D? dont use advanced math please
Answer:
A. the first quartile represents the median of the lower half of the data set
B. the third quartile represents the median of the upper half of the data set
Step-by-step explanation:
Given the sequence: 128, 32, 8, 2, ½, …
State the rule verbally. In other words, state how you would tell someone the sequence without just listing the numbers in the sequence.
Write the recursive rule for the sequence.
Write the explicit rule for the sequence.
please help me :')
8x=2 what is the value ofx
Answer:
0.25
Step-by-step explanation:
8x=2
[tex] = > x = \frac{2}{8} [/tex]
[tex] = > x = \frac{1}{4} or \: 0.25(ans)[/tex]
Step-by-step explanation:
8x=2
= > x = \frac{2}{8} =>x=
8
2
= > x = \frac{1}{4} or \: 0.25(ans)=>x=
4
1
or0.25(ans)
Could anyone help me with this question please?
construction = divide the figure into two parts.
now we have triangle abd and bdc.
first calculate the area of abd.
area of triangle= 1/2×base ×height
area of triangle= 1/2×18×7.5
area of triangle=67.5cm²
second calculate area of bdc
area of triangle=1/2×15.6×11.7
area of triangle=91.26cm²
area of the figure=area of abd + area of bdc
area of the figure=67.5cm²+ 91.26cm²
area of figure=158.76 cm².
In ΔJKL, the measure of ∠L=90°, KL = 11 feet, and JK = 32 feet. Find the measure of ∠J to the nearest tenth of a degree.
Answer: J = 20.1
Step-by-step explanation:
sin J = hypotenuse/opposite = 11/32
Sin J =11/32
J=sin-1(11/32)
J= 20.1055
what is the vlaue of (2/7)³ ?
Answer:
0
Step-by-step explanation: