Answer:
12=12
Step-by-step explanation:
2a = b
a -3b =12
To solve, set one of the equations equal to zero. The first equation is actually already set to 0.
b = 2a
Now you can plug this equation into the other one, by substituting the b in the equation with this.
a -3b = 12
a – 3(2a) = 12
Now all you have to do is distribute the 3 (multiply the number outside the parenthesis, 3 in this case, by everything inside).
a – 6a = 12
Combine like terms. Since we have 1 positive a and 6 negative ones, we subtract the two numbers without the signs
6-1 = 5
And take the sign of the larger number. Since 6 is large and 6 is negative, we are left with
-5a = 12
Now solve for a, which in this case means dividing both sides by -5
a = -12/5
Simplify
a = -2.4
Now that you have a, it’s easy to find b
b = 2a
b = 2(-2.4)
b= -4.8
Now you check your work by plugging your new a and b into either equation to see if it’s true.
-4.8 = 2(-2.4)
-4.8 = -4.8
And just for laughs let’s try the other equation
a -3b =12
-2.4 – 3(-4.8) = 12
Distribute the 3 again. Remember that when two negative numbers are multiplied they become positive.
-2.4 +14.4 = 12
12 = 12
3. Over the weekend, Jada made three times as much money babysitting than Han did mowing lawns. Jada made an additional $27 selling lemonade. From babysitting and selling lemonade, she has a total of $96. If the equation 3x + 27 = 96 represents this situation, what does the variable x represent?
Answer:
X is the amount Han made mowing lawns
because it said that she earned 3xs the amount he did. So you would take what he made times three plus the extra 27 she made from selling lemonade
An average batter hits a ball with a force of 380 N. If the bat contacts the ball for a distance of 50 m, how much work is done?
Answer:
...
Step-by-step explanation:
Help me, I will give brainliest to best answer. No work needs to be explained.
Write three hundreths as a decimal.
Use digits to write each decimal number:
a. one hundred two and three tenths
b. one hundred twenty-five ten-thousandths
c. three hundred and seventy-five thousandths
Answer:
3.00 I think or 30.0 I really don't know but that's what I think
A quadratic in factored form is given as (x + 5) (2x - 3) = 0, what are the solutions of this given equation?
X = and x =
Answer:
x = -5, x = 1.5
Step-by-step explanation:
If the two expressions multiplied together is 0, that means that one of the expressions would have to equal 0. This gives us two possible answers. Our two equations are now:
x + 5 = 0
2x - 3 = 0
We will first solve the first one!
To isolate x, we subtract 5 from both sides to get:
x = -5
Onto the second one!
We begin to isolate x by adding 3 to both sides.
2x = 3
Now we divide both sides by 2.
x = 3/2 or 1.5
Answer:
Step-by-step explanation:
help me plzz and thank u sm
Answer:
The equation of the axis of symmetry is x = 7
Step-by-step explanation:
Mathematically, we have the equation of the axis of symmetry as;
x = -b/2a
where a is the coefficient of x^2 = 1
b is the coefficient of x which is -14
So, the equation of the axis of symmetry will be;
x = -(-14)/2(1) = 14/2 = 7
So the equation of the axis of symmetry is x =7
The school has 978 pencils. They want to divide them equally among the 84 students. How many pencils will each student get?
Answer:
each student gets 11 pencils
Step-by-step explanation: I searched it up
Anne surveyed the 12 slowest runners in PE, class about their favorite sports,
Is this sample of the students in the PE, class likely to be biased?
If your grandmother had a cousin what would she be to you??
Answer:
Wouldn't he be like a second cousin or something?
Step-by-step explanation:
Answer:
I think she would be your second cousin.
Step-by-step explanation:
Hope this helps!!
Please mark this answer as Brainiest!!
Bill is a painter, who has been hired to paint a house.
• He receives an houry rate of $35 an hour.
• The materials Bill had to purchase cost $50 for the job.
• The amount of money Bill makes in profit, after working "x" hours, is modeled by the function:
f(x) = 352 – 50
Determine Bill's profit after working 10 hours.
Answer: 300
Step-by-step explanation: Math - 35X10-50
I may be wrong sorry!
Replace x with 10 in the given function.
We are seeking f(10).
f(10) = 35(10) - 50
f(10) = 350 - 50
f(10) = 300
After 10 hours, Bill's profit is $300.
(-8xy + 3x²-5y)+(4x²-2y+6xy)
Answer:
-2xy+7x^2-7y
i recommend m a t h w a y :)
Step-by-step explanation:
Answer:
7x^2−2xy−7y
Step-by-step explanation:
First Simplify
(−8x)(y)+3x2−5y+4x2−2y+6xy
=−8xy+3x2+−5y+4x2+−2y+6xy
Then Combine Like Terms:
=−8xy+3x2+−5y+4x2+−2y+6xy
=(3x2+4x2)+(−8xy+6xy)+(−5y+−2y)
=7x2+−2xy+−7y
A sheet of paper has a perimeter of 39 inches. If the width of the paper is 8.5
inches, what is the length of the sheet of paper?
Answer:
length of the sheet of paper is 11 in.
Step-by-step explanation:
Let "a" = short end of paper and let "b" = long end of paper.
Let "p" = perimeter
1st equation: p = 39"
2nd equation: 2a + 2b = p plug in "39" for diameter; result:
2nd equation: 2a + 2b = 39
3rd equation: b = 2a - 6
replace "b" in 2nd equation with "2a - 6" from 3rd equation, result:
2a + 2(2a - 6) = 39 simplified to:
2a + 4a - 12 = 39 simplified to:
6a - 12 = 39 simplified to:
6a = 51 simplified to:
a = 51/6 = 8.5
so, a = short end of paper = 8.5 inches
In 3rd equation (b = 2a - 6), substitute "a" with "8.5"
3rd equation becomes: b = 2(8.5) - 6 simplified to:
b = 17 - 6 = 11
so, b = long end of paper = 11 inches
answer to question is: dimensions of paper are ---
8.5 inches wide by 11 inches long
Answer:
The answer is 11
Step-by-step explanation:
So perimeter is base+ base+length+length. Therefore you take 8.5+8.5 which is 17 and subtract it from 39 to get 22. You take 22 and divide it by 2 which leaves you with 11.
A CD usually sells for $18.00. If the CD is 10% off, and sales tax is 7%, what is the total price of the CD, including tax?
A. $18.30
B. $17.33
C. $17.46
D. $17.50
Answer:
b
Step-by-step explanation:
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
?
Step-by-step explanation:
I can't see anything attached but I know all angles of a triangle add up to 180 degrees. It probably doesn't help tho.
Answer:
Since no figure is shown, i'll give you a hint.
Step-by-step explanation:
All angles inside a triangle equal 180 when combined.
i'll help more if you post the photo.
translations on a coordinate plane
Answer:
check in my page someone will answer it for me
Step-by-step explanation:
then you get your answer
A triangle is shown.
300
44 in.
What is the length, in inches (in.), of side a?
in.
Rashaad has a bag that contains apple chews, strawberry chews, and watermelon chews. He performs an experiment. Rashaad randomly removes a chew from the bag, records the result, and returns the chew to the bag. Rashaad performs the experiment 24 times. The results are shown below:
An apple chew was selected 11 times.
A strawberry chew was selected 5 times.
A watermelon chew was selected 8 times.
Based on these results, express the probability that the next chew Rashaad removes from the bag will be watermelon chew as a fraction in simplest form.
Answer:
1/3
Step-by-step explanation:
8 divided by 24 is .33
which in fraction form is 1/3
Answer:
1/3
Step-by-step explanation:
helppppppppppppppppppppp plzzzzzzzzzzz answer
Answer:
Maria randomly selects a number from the list of numbers below.
56, 90, 88, 76, 12
What is the probability that she selects an even number?
Step-by-step explanation:
so fd jwshydd +3 b4--
Answer:
3/2
Step-by-step explanation:
4x+17=23
-17 on both sides
4x=6
divided by 4
x=3/2
which sets of three lengths can be used to form a triangle?
A. 7ft, 5ft, 2ft
B. 6ft, 4ft, 8ft
C. 15cm, 18cm
D. 72 in, 10 in, 90 in
E. 6m, 2m, 12m
F. 6 yd, 21 yd, 25yd
please help im not good at this kind of math T-T 20 points :)
Answer:
Step-by-step explanation:
huh
Answer:
Step-by-step explanation:
y=13-3x
when x=0
y=13-3(0)
y=13
when x=1
y=13-3(1)
y=13-3
y=10
when x=2
y=13-3(2)
y=13-6
y=7
when x=3
y=13-3(3)
y=13-9
y=4
when x=4
y=13-3(4)
y=13-12
y=1
(8,1), (-2,-5) midepoint
Answer:
(3, -2)
Step-by-step explanation:
The x-coordinate of the midpoint of the line segment connecting (8, 1) and (-2, -5) is -2 plus half the horizontal distance from -2 to 8, which is 10, or 5. We add 5 to -2, obtaining 3 units.
The y-coordinate of the midpoint is found similarly. The vertical distance between the two given points is 1 - (-5), or 6 units. Half of that is 3 units. Adding 3 units to -5 yields -2.
The midpoint is (3, -2).
Thus, the coordinates of the midpoint at (-7, 6)
Do you know this??
I’m confused
Answer:
1: B
2: A
3: D
4: C
Step-by-step explanation:
In order to find the unit rate you have to divide the first number by the second number. You divide the first number because it is the gallons you are trying to find PER minute. In this case you are dealing with fractions which means you have to multiply the first number by the reciprocal of the second number.
Example 1:
3/4 ÷ 1/2
3/4 x 2/1
= 3/2
= 1 1/2
Example 2:
1 1/2 ÷ 1/2
3/2 ÷ 1/2
3/2 x 2/1
= 6/2
= 3
What’s 6 x 5 * divide* 10? I need answers plz
Answer:
It is 3
Step-by-step explanation:
6*5= 30
30/10= 3
Mark me Brainliest?
What exponential function represents the data in the table?
x f(x)
2 25
3 125
4 625
f(x) = x4 + 9
f(x) = 4x + 9
f(x) = x5
f(x) = 5x
Answer:
The Fourth one
[tex]f(x) = {5}^{x} [/tex]
Step-by-step explanation:
I hope that is useful for you :)
Can someone help me with this. Will Mark brainliest.
Answer:
False
Step-by-step explanation:
because all four sides of a rectangle don't have to be equal. However, the sets of rectangles and rhombuses do intersect, and their intersection is the set of squares—all squares are both a rectangle and a rhombus.
:))
Can someone please answer this
Answer:
It is true
Step-by-step explanation:
It is the same shape, it is just moved to a different spot on the graph because of translations.
Classify the polynomial by degree and number of terms.
-2x² + x4 +3
constant
linear
quadratic
cubic
quartic
monomial
binomial
trinomial
Answer:
linear
Step-by-step explanation:
Answer: its a trinomial
Step-by-step explanation:
The number of songs Oliver has downloaded this year, divided by 12, is equal to 24. What is an equation that represents this situation, and how many songs has Oliver downloaded?
A. 12d = 12: d = 1 song downloaded
B. 12d = 24: d = 2 songs downloaded
C. d12 = 24: d = 288 songs downloaded
D. b12 = 12: d = 144 songs downloaded
Answer:
c
Step-by-step explanation:
24×12=288 songs downloaded
this is because you have to do opposite operations according to one of the operations of math
An equation that represents the given situation is d/12 =24, and the number of songs Oliver has downloaded is 288. So, option C is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, the number of songs Oliver has downloaded this year, divided by 12, is equal to 24.
Let the number of songs downloaded be d.
So, the equation is d/12 =24
d=288
The equation to represent the scenario is d/12 =24. Therefore, option C is the correct answer.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
how much markup is $75 to $180
Answer:
105
Step-by-step explanation:
75+105 =180
I need help can someone help me pls
Answer:
D: 25 miles
Step-by-step explanation:
Pythagorean Theorem:
[tex]a^{2} + b^2 = c^2[/tex]
36^2 + b^2 = 39^2
1,296 + b^2 = 1,521
b^2 = 225
b = 25
Substitution
3x+y=-8, -8x-3y=21
PLEASE HELPP ME<3
