Answer:
-10ab
Step-by-step explanation:
(2a)(-5b)
Multiply the constants
2* -5 = -10
Multiply the variables
a*b = ab
Combine
-10ab
The expression -10ab represents the product of 2a and -5b
To simplify the expression (2a)(-5b), we can multiply the coefficients and combine the variables.
Multiplying the coefficients, 2 and -5, gives us -10.
For the variables, we multiply the like terms, which in this case are 'a' and 'b'. When we multiply 'a' and 'b', we simply write them side by side: ab.
Therefore, simplifying (2a)(-5b) results in -10ab.
The expression -10ab represents the product of 2a and -5b, combining the coefficients and variables into a single term. It is important to note that the order of the variables, 'a' and 'b', is maintained in the simplified form.
Learn more about expression here
https://brainly.com/question/11570526
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Expand and simplify 3(2x + 1) +2(x + 4)
Answer:
8+11
Step-by-step explanation:
Answer:
3(2x + 1) +2(x + 4)
6x + 3 + 2x + 8
8x + 11
Step-by-step explanation:
Correct 25.0457 to 2 significant figure
9514 1404 393
Answer:
25.
Step-by-step explanation:
The first two significant figures are 2 and 5. The next figure is 0, so we don't need to round up. The number to 2 significant figures is 25.
PLS HELP I WILL GIVE BRAINLIEST
Answer:
6x-2
Step-by-step explanation:
the side lengths are x+2, x+2, 2x-3 and 2x-3
(the other two are the same as the ones shown because it's a rectangle)
when you combine like terms you get 2x+4 and 4x-6
combine like terms again and you get 6x-2
hope this helps :)
CORRECT ANSWER= BRAINLIEST
A right triangle has legs that measure 7 meters and 16 meters. What is the length of its hypotenuse to the nearest whole
number?
14 meters
16 meters
17 meters
18 meters
Answer:
17 meters
Step-by-step explanation:
I did 16^2 and 7^2 to get, 256 + 49 = 305. 305 squared is 17.4... Once you round it you should get the answer 17 meters.
Hope this helps :)
Answer:
The answer is 17 meter
Step-by-step explanation:
So the formula for this is a^2 + b^2 = c^
The two legs are a and b
So plug those into the equation
It should look something like this 7^2 + 16^2 = c^2
Then solve the exponents and you get 49 + 256 = c^2
After that just add the two integers and you have 305
Finally take the square root of 305 and you get 17
pls mark brainliest because i didnt waste your time Lol
PLEASE HELP!! I’LL GIVE BRAINLIEST AND 10 POINTS !! FOR THE CORRECT ANSWER
Answer: -9
Step-by-step explanation:
You count down the distance from T to K
Answer:
-9
Step-by-step explanation:
you are counting from t to k but its going to the left of the number line to its negative.
Last one , will mark brainliest !!!!
Answer:
Step-by-step explanation:
Part 1:y=426x+4298
y=223x+6129
Part 2: x=9.020 (x is the number of months and y is the miles)
Part 3: y=8140.394, or 8,140 since it's rounding to the nearest mile
Answer:
See answers in explanation below
Step-by-step explanation:
1. 4298 + 426t = 6129 + 223t
2. Basically get into the graphing page and find "function" section then select "f(x) = mx + b", then graph f(x) = 426x + 4298 and f(x) = 223x + 6129
and find the answer at where these two lines intersect with each other, x=9.0197 (months)
3. sub x=9.0197 into any of the two equation and f(x) = 8140 (miles)
Classify the following triangle based on its shape.
Answer: a right triangle
Step-by-step explanation:
what is 2350 million in standard from
Answer:
2350000000
Step-by-step explanation:
In the diagram, ABC is a triangle in which AB = 4 cm, BC = 6 cm and angle ABC = 150°. The line CX is perpendicular to the line ABX.
(i) Find the exact length of BX and show that angle CAB = tan^-1 (3/4+3√3)
(ii)
Show that the exact length of AC is √52 + 24√3 cm.
Part (i)
Angle ABC is 150 degrees. The angle CBX is supplementary to this, so,
(angleABC)+(angleCBX) = 180
angle CBX = 180-(angleABC)
angle CBX = 180-150
angle CBX = 30 degrees
Because of the right angle marker at point X, we can find that triangle CBX is a 30-60-90 triangle. This special type of right triangle has its hypotenuse twice as long as the short leg, which we'll call y. The long leg is equal to y*sqrt(3) units.
The diagram shows BC = 6 is the hypotenuse, so the short leg is y = 6/2 = 3. The longer leg is y*sqrt(3) = 3*sqrt(3) which is the distance from B to X.
In summary so far,
CX = 3
BX = 3*sqrt(3)
We have enough information to find the tangent of angle CAB, and then find the actual angle itself.
tan(angle CAB) = opposite/adjacent
tan(angle CAB) = (CX)/(AX)
tan(angle CAB) = 3/(4+3*sqrt(3))
angle CAB = arctan( 3/(4+3*sqrt(3)) )
I'm using arctan in place of tan^(-1) which is the same basic function, just different notation.
========================================================
Part (ii)
Focus on triangle AXC. The legs we found were
AX = 4+3*sqrt(3)
CX = 3
Use the Pythagorean theorem to find the hypotenuse AC
a^2 + b^2 = c^2
(AX)^2 + (CX)^2 = (AC)^2
(AC)^2 = (AX)^2 + (CX)^2
(AC)^2 = (4+3*sqrt(3))^2 + (3)^2
(AC)^2 = (4+3*sqrt(3))(4+3*sqrt(3)) + 9
(AC)^2 = 4(4+3*sqrt(3))+3*sqrt(3)(4+3*sqrt(3)) + 9
(AC)^2 = 16+12*sqrt(3)+12*sqrt(3)+27 + 9
(AC)^2 = 52+24*sqrt(3)
AC = sqrt( 52+24*sqrt(3) )
Note that AC is a length so AC is positive. We don't have to worry about the plus minus.
This is known as a nested radical since one square root is buried in another.
We can write that as [tex]AC = \sqrt{52 + 24\sqrt{3}}[/tex] if you're curious as to how that looks on paper.
Using your calculator, you should find that,
[tex]\sqrt{52+24\sqrt{3}} \approx 9.673118[/tex]
2/3 of a number is 20 less than the original number. Find the original number
Answer:
60
Step-by-step explanation:
Let the original number be x.
According to the question we can write as (2/3)x+20x
On rearranging x−(2/3)x=20
Now taking the L.C.M od 1 and 3 is 3
(3x−2x)/3=20
x/3=20
Again by transposing x=60
So the original number is 60
Answer:
60
Step-by-step explanation:
Let the number be x
2/3 x = x -20
20 =x -2/3x
1/3 x =20
60 = x.
Logan weighed two buckets of sand for a geology project. The first bucket weighed 5.19 pounds. The other bucket weighed 9.01 pounds. How much do the two buckets of sand weigh all together?
Answer:
14.2
Step-by-step explanation:
you just have to add both of the numbers shown in the question
Solve for x:
3x+c=12
Please show work
Answer:
x=3 c=3
Step-by-step explanation:
How to solve for x is 12 divided by 3 equals 4 so x would equal 3 and C would give you an answer of 3 also if i am correct. 3×3 + 3 = 12
Terry increased the size of his rectangular garden this summer. He increased to length by 50% and the width by 20% by what percentage has his garden changed with these changes?
Given :
Terry increased the size of his rectangular garden this summer. He increased to length by 50% and the width by 20%.
To Find :
By what percentage has his garden changed with these changes.
Solution :
Let, initial length and breadth is x and y.
So, initial area = xy .
Size after increasing them :
y' = y + 0.50y
y' = 1.5y
x' = x + 0.2x
x' = 1.2x
Final area = (1.5y)(1.2x) = 1.8xy
So, percentage increase is :
[tex]= \dfrac{new-original}{original }\times 100\%\\\\= \dfrac{1.8xy -xy}{xy }\times 100\\\\=80 \%[/tex]
Therefore, percentage increase in are is 80%.
Hence, this is the required solution.
Translate the number equation into a written equation: 2p + 4 = 20
Answer:
p is 8
Step-by-step explanation:
4 - 20
then 2 divided by 16
then you get 8
Answer:11. g. 10. 3g. 12. 2p. 4q. 20 g plus 10 is the same as. Twice p plus 4 times q is 20. 3 times g. 13. 4(a b). 9a. 14. 8.
Step-by-step explanation:
i think thats the answer
Given AXYZ = ARST.mZR=(6n+1). m _Y=108°, and m _Z=(91-4)', what is the value of n?
Answer:
A
Step-by-step explanation:
Given that the triangles are congruent then corresponding angles are congruent, thus
∠ S = ∠ Y = 108°
∠ T = ∠ Z = 9n - 4
Given ∠ R = 6n + 1
The sum of the 3 angles in Δ RST = 180°
Sum the 3 angles and equate to 180, that is
6n + 1 + 108 + 9n - 4 = 180 , simplify
15n + 105 = 180 ( subtract 105 from both sides )
15n = 75 ( divide both sides by 15 )
n = 5 → A
help please #16 already found x can’t figure out y
Answer:
x=26 y=137
Step-by-step explanation:
5x-17+3x-11=180
8x=208
x=26
2y+5+3x-11=180
2y+5+(3*26)-11=180
2y=274
y=137
David's bowling score is 6 less than 3 times Aaron's score. The sum of their scores is 214. Find the score of each student. Use the variable a for Aaron's score.
plz help
Step-by-step explanation:
Let aron's variable be = a
Let davids variable be( 6 less tan 3 times aron) = 3×a-6
Thier sum is =214
So,
3×a-6 + a = 214
3a -6 +a = 214
(transpose)
3a + a = 214 + 6
4a = 220
a = 220/4
a= 55
Thus,aron's score is = 55
And davids score is (3×a-6) = 3×55-6 = 159
Checking,
Aron score + david score = 214
55 + 159 = 214
SO, ITS CORRECT
HOPE IT HELPS :)
You had $1.65. After a friend returned the money you had loaned her, you
had $3.50. How much did she give you? _____
Answer:
$1.85
Step-by-step explanation:
Simple Subtraction!
$3.50 - $1.65 = $1.85
$1.85
The total U.S. apple production increased during the 1973-1988 period from 6.2 to 9.l billion pounds. To the nearest tenth of a percent, what was the percent of increase in apple production in the United States from 1973-1988? plzzzzz help
Subtract to find the difference in the amounts:
9.1 - 6.2 = 2.9
Divide the change by the starting amount:
2.9/6.2 = 0.46774
Multiply by 100 to get the percentage and round to the nearest tenth:
0.46774 x 100 = 46.8 %
Answer: 46.8%
What is the equation of the line through the origin and (3, 4)?
Answer:
y = 4/3x
Step-by-step explanation:
Hope that helps you
selena paid $15.00 for 6 gallons of gasoline what was the price per gallon
Answer:
$2.50
Step-by-step explanation:
Is Selena paid $15 for 6 gallons and you want to find the price for one gallon, all you need to do is divide the price of 6 gallons ($15) by the number of gallons (6).
15/6 = 2.5. Your answer is $2.50. Hope this helps ^-^
How many minutes of calling time do the plans cost the same amount ?
50% of 320 is equal to 80% of what number?
Answer:
128
Step-by-step explanation:
Doreen Schmidt is a chemist. She needs to prepare 28 ounces of a 8% hydrochloric acid solution. Find the amount of 14% solution and the amount of 7% solution she should mix to get this solution
Let, amount of 14% solution required is x ounces.
So, amount of 8% solution will be ( 28 - x ) ounces.
Now, mathematical equation is :
[tex]\dfrac{14x}{100}+\dfrac{7(28-x)}{100}= \dfrac{8\times 28}{100}\\\\14x + 196 - 7x = 224\\\\7x = 28\\\\x = 4\ ounces[/tex]
Therefore, amount of 14% solution and 8% solution required is 4 ounces and 24 ounces respectively.
Hence, this is the required solution.
Use substitution to solve the following system of equations. What is the value of y?
6x + 2y = 4
3x - 5y = 44
A. y = 7
B. y = -7
C. y = -4.5
D. y = 4.5
Answer:
B
Step-by-step explanation:
The chart shows number of minutes students spent studying for a test and their grade on the test. Draw a scatter plot of the data.
Which equation is closest to the line of best fit?
A) y=-1/3x-52
B) y= 1/3x + 52
C) y=-52x + 1/3
D) y=52x-1/3
Answer:
the answer is A). y=1/3×-52
plzzzzzz helpppppp plzzz
Answer:
D. 6
Step-by-step explanation:
Answer:
B, 6
I think! hope it helped
Kiera wants to increase her savings account to a balance of $1,350. Her current balance is $174 and she adds $84 a month to her savings.
How many months will it take for her to reach her goal of $1,350?
18 months
16 months
12 months
14 months
Answer:
Her goal : 1350
What she has now: 174
she earns 84$ a month
answer is 14 months because 84* 14 is 1176 and if u add 174 $ to that it will give u 1350.
Step-by-step explanation:
2x+2y=38
Y=x+3
Substitute to solve
Correct answer gets Brainliest
Answer:
x=8
y=11
Step-by-step explanation:
2(8) + 2(11) = 38
8 + 3 = 11
Sonia and Layla are both running for class president. The senior class has 220 students. After 60% of
the students have voted, Sonia has received 25% of the casted votes, and Layla has received 75%. How
many more votes does Sonia need to receive 50% of the total votes?
Answer: 33 votes
Step-by-step explanation:
First, we have to calculate 60% of 220 to Kno.the number of people who voted. This will be:
= 60% × 220
= 0.6 × 220
= 132 students
Sonia has received 25% of the casted votes. The number of votes Sonia got will be:
= 25% × 132
= 0.25 × 132
= 33 votes
Layla has received 75%. Her votes will be:
= 75% × 132
= 0.75 × 132
= 99 votes.
50% of the total votes will be:
= 50% × 132
= 0.5 × 132
= 66 votes
The number of votes needed by Sonia to receive 50% of the total votes will be:
= 66 - 33
= 33 votes