Answer:
The quadratic equation is
3x^2+ 27x + 60
Step-by-step explanation:
Here, we have the roots -5 and -4 and the leading coefficient of 3
Mathematically, we simply have this done to the roots;
x = -5 implies x+ 5
x = -4 implies x + 4
The product of this two will be;
(x + 5)(x + 4)
= x^2 + 5x + 4x + 20
= x^2 + 9x + 20
we add the leading coefficient
that would be;
3(x^2 + 9x + 20)
= 3x^2 + 27x + 60
what would x equal? (x=___)
Answer:
56mm
Step-by-step explanation:
they are parallelograms so the opposite sides are equal.
in the bottom parallelogram the top side length is 4x the side side length so in the top one the top side length must be 4x the side side length to be similar, so 14*4=56mm
Working together, two ants named Aran and Beatrice can build an ant hill in 10 hours. Aran and Charlie can build the ant hill in 12 hours. Beatrice and Charlie can build the ant hill in 15 hours. How long, in hours, will it take to build the ant hill if Aran, Beatrice, and Charlie work together?
Here we have a problem of rates of work, we want to know how long will take the 3 ants to build an ant hill if they work together.
We will find that working together, they need to work for 8 hours.
----------------------------------
Let's start by defining the variables that we will use:
A = rate at which Aran worksB = rate at which Beatrice works.C = rate at which Charlie works.Now let's see the given information:
"Aran and Beatrice can build an ant hill in 10 hours"
This can be written as:
(A + B)*10 h = 1 ant hill
"Aran and Charlie can build the ant hill in 12 hours"
This can be written as:
(A + C)*12 h = 1 ant hill
"Beatrice and Charlie can build the ant hill in 15 hours"
This can be written as:
(B + C)*15 h = 1 ant hill.
Then we have 3 equations:
[tex](A + B)*10 h = 1[/tex]
[tex](A + C)*12 h = 1[/tex]
[tex](B + C)*15 h = 1[/tex]
Where for commodity, I removed the "ant hill" unit.
Now we need to solve this system of equations, to do it, we need to isolate one variable in one of the equations and then replace it on another equation.
I will isolate A in the first equation:
[tex]A = \frac{1}{10h} - B[/tex]
Now we can replace it in the second equation to get:
[tex](\frac{1}{10h} - B + C)*12h = 1[/tex]
Now we can isolate C in the last equation to get:
[tex]C = \frac{1}{15h} - B[/tex]
Replacing that in the above equation we get:
[tex](\frac{1}{10h} - B + \frac{1}{15h} - B)*12h = 1\\\\\frac{1}{6h} - \frac{1}{12h}= 2*B\\\\\frac{1}{2}*\frac{1}{12h} = \frac{1}{24h} = B[/tex]
This means that Beatrice alone would construct the hill in 24 hours.
Now that we know the value of B, we can use:
[tex]C = \frac{1}{15h} - B = \frac{1}{15h} - \frac{1}{24h} = \frac{1}{40h}[/tex]
This means that Charlie needs 40 hours to finish the hill alone.
Finally, we can use [tex]A = \frac{1}{10h} - B[/tex] to find the value of A:
[tex]A = \frac{1}{10h} - B = \frac{1}{10h} - \frac{1}{24h} = \frac{7}{120h}[/tex]
Now if the 3 ants work together, the total rate at which they work is:
[tex](A + B + C) = (\frac{7}{120h} + \frac{1}{40h} + \frac{1}{24h} ) = 0.125 h^{-1}[/tex]
This means that they need to work for the inverse of that rate
[tex]\frac{1}{0.125h^{-1}} = 8h[/tex]
Working together, they need to work for 8 hours to complete an ant hill
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the measure of AOC is 90 find the value of x, A 30 B 10 C 11
10
Step-by-step explanation:
3x° + 46° +14°
3*10° + 46 + 14° =90
therefore the value of x is 10
The value of x on the given figure is 10.
Option D is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
From the figure,
3x + 46 + 14 = 90
Now,
Simplifying.
3x + 60 = 90
Subtracting 60 on both sides.
3x = 90 - 60
3x = 30
Dividing 3 into both sides.
x = 10
Thus,
The value of x on the given figure is 10.
Learn more about expressions here:
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The complete question is given on the attach image.
HELP ME PLEASE !!!
Answer:
A realistic budget is hard to come by. All budgets tell you what you should include in your monthly plan, but what about unexpected expenses? Here are some ideas for making a realistic budget, and sticking to it.
daid1784 avatar
Well, the dozens of apps, spreadsheets, and other methods just don’t account for real life and all the expenses we don’t think of. There are plenty of expenses we have that aren’t monthly that take up more of our money than we planned.
Paul won 37 super bouncy balls playing hoops at county fair. At school he gave two to every student in his math class. He only had 3 remaining. How many students are in his class?
Answer:
17 students
Step-by-step explanation:
If he started with 37 and ended with 3 we have to subtract those three first so that we know how many we are actually working with so, 37-3=34. 34 balls is the amount distributed among the class. 34/2 is 17.
Use the Law of Cosines to solve for the side BC. Round your answer to the point
nearest whole number. Write the value only *
Answer:
BC = 50
Step-by-step explanation:
Law of Cosines:
c^2 = a^2 + b^2 - 2ab*cosy (c is BC)
c^2 = 30^2 + 21^2 - 2(30)(21)cos123
c^2 = 900 + 441 - 1260*(-0.888)
c^2 = 1341 - (-1118.841)
c^2 = 2459.841
c = 49.597
c = 50
Evaluate the following when a = 4 and b = 7 (a+b)^2 - (a^2 + b^2)
Answer:
56
Step-by-step explanation:
(4+7)²-(4²+7²)=121-65
=56
Answer:
56
Step-by-step explanation:
(4 + 7)² - (4² + 7²) = 11² - (16 + 49) = 121 - 65 = 56
2.) Add unlike fractions using the butterfly method.
1 point
c) of the teacups in Lily's Tea Shop, 1/5 are teal and another 1/10 are yellow. What fraction
of the teacups are either teal or yellow?
3/10
5/10
7/10
O 1/10
Answer:
3/10
Step-by-step explanation:
1/5=2/10
2/10+1/10=3/10
Answer:
ITS 3/10 AND CAN SOMEONE PLS ANSWER MY MOST RECENT QUESTION.
At 6 a.m., the temperature is 19.4°C. Between 6 a.m. and noon, the temperature rises 3.8°C. Between noon and 6 p.m., the temperature falls 2.5°C.
What is the temperature at 6 p.m.?
1.3°C
6.3°C
13.1°C
20.7°C
Answer:
20.7°C
Step-by-step explanation:
What was the price for one notebook?
Answer:
A notebook at the dollar store costs between 1-2 dollars
What is the area of this triangle?
1. 10 x ____ = 180
2. 37 x 10 = ____
3. ____ tens = 650
Answer:
1. 18
2. 370
3. 65
Step-by-step explanation:
1. 180/10=18
2. 370 add a zero
3. tens means ·10 so 650/10=65
Answer:
1.)18
2.)370
3.)65 tens yw(:
Andy played with Buzz 65% of the time. How many times did andy play with Buzz if her played with his toys 20 times?
Answer:
13
Step-by-step explanation:
yes.
Step-by-step explanation:
65/100×29
13
plz make me brainlest
please answer the questions.
Answer:
1. 9 numbers (27, 36, 45, 54, 63, 72, 81, 90, 99)
2. 122 square cm
Step-by-step explanation:
break the shape into 2, find area of each, add those areas together
What is the value of
2021
−
2223
+
2425
?
?
Answer:
2223
Step-by-step explanation:
We need to find the value of 2021-2223+2425.
Firstly subtract 2223 from 2021.
2021-2223 = -202
Now add -202 and 2425. So,
2425 +(-202) = 2223
So, the value of 2021-2223+2425 is 2223. Hence, this is the required solution.
In an effort to save money, you placed $20 in a jar each month for 2 years. You spent 60% on presents for your family. How much do you have left?
Please help!!
Will mark brainliest
Jonathan is building an outdoor staircase for his deck. He uses 8 screws for every 2 steps. If there are 14 steps, how many screws does Jonathan need?
Answer:
56 screws
Step-by-step explanation:
So, first we can find how many screws he needs.
So, if he uses 2 steps for 8 screws, and has 14 steps, that means he puts screws in 7 steps ( 14÷2)
then, if he uses 8 screws, each with 8 steps, we can do 8 times 7, which is 56 screws
The screws does Jonathan need is 56 screws.
It is required to find how many screws does Jonathan need.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
Jonathan uses 8 screws for every 2 steps. If there are 14 steps.
So, first we can find how many screws he needs.
According to given question we have
So, if he uses 2 steps for 8 screws, and has 14 steps, that means he puts screws in 7 steps ( 14÷2)
then, if he uses 8 screws, each with 8 steps, we can do 8 times 7, which is 56 screws.
Therefore, the screws does Jonathan need is 56 screws.
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Need help!!
(2x + 1/2) + (8x - 6 1/2)=
Answer:
10x - 6
Step-by-step explanation:
Answer:
I am not sure if you want it to be a simplified answer but the simplified answer is 10 x - 6
Enter the value of n for the equation 26 * 2n = 213
Answer:
4.09
Step-by-step explanation:
HELP ASAP!!!! PLEASE HELP!!!!
Step-by-step explanation:
[tex] \sin(c) = \frac{36}{45} = 0.8 \\ \cos(c) = \frac{27}{45} = 0.6\\ \tan(c) = \frac{36}{27} = 1.333[/tex]
in the equation x+12=30 does x=16 explain your answer
You brought a magazine for $3 and some candy bars for $2 each. You spent a total of $19. How many candy bars did you buy?
Answer:
8
Step-by-step explanation:
Answer:
Candy bars: $13
Step-by-step explanation:
$3 magazine + $13 total of candy bars = $19
Help asap will give brainliest
Answer:
Graph A is increasing more rapidly, so Dan is correct
Please help due ASAP
Hxhdbdidhdbbr
4 dogs have weights of 5.2 kg, 3.5 kg, 7 kg, and 9.74 kg. What is the total weight of the dogs? What is the average weight of the 4 dogs?
Answer:
25.14kg is the total weight
Step-by-step explanation:
Answer:
The total weight of the dogs is 25.44 kg
The average weight of the dogs are 25 kg
Step-by-step explanation:
It is right on Egenuity comment if you want another answer and have a good day :)
(SAT Prep) Find the value of x.
Answer: x=40°
Step-by-step explanation:
The two triangles are congruent (I think it’s called the interior angle proof) so the bottom right angle is also 65°. All angles in a Triangle equal 180°, so 180-(75+65)=40
Answer:
huh
Step-by-step explanation:
just multi ply its not hard
Write the equation of a line through (-1,-5) parallel to 3x-y=5, and in slope intercept form
Answer:
y = 3x -2
Step-by-step explanation:
The general equation form is;
y = mx + b
where m is the slope and b is the y-intercept
For the equation given;
y = 3x -5
the slope from here is 3
If two lines are parallel, they have equal slopes
This mean that the slope of the line we want to calculate too is 3
Now we can use the point slope format to get the correct equation
y-y1 = m(x-x1)
y+ 5. = 3(x+ 1)
y = 3x + 3 -5
y = 3x -2
A. A cylinder just fits into a cube of side length 36 m Calculate the percentage
of empty space in the box.
Answer:
21.5%
Step-by-step explanation:
volume of cube: 36x36x36
volume of cylinder: πx18²x36
Cylinder percentage: (πx18²x36) / 36x36x36 = π / 4 = 0.785
percentage of empty space: 1 - 0.785 = 0.215 (21.5%)
Does (5, 6) satisfy the inequality 2x - 3y> 6?
Answer:
yes
Step-by-step explanation:
Answer:
Nope, it does not satisfy the equation.
Step-by-step explanation:
2x - 3y > 6
2(5) - 3(6) > 6
10 - 18 > 6
-8 > 6
Hope this helps and I hope u have an Amazing day!
