Answer:
x = 36
Step-by-step explanation:
The total angles of a triangle is 180 degrees
(2x - 17) + (x + 53) + x = 180
2x - 17 + x + 53 + x = 180
4x + 36 = 180
Subtract 36 from both sides;
4x = 144
Divide both sides by 4;
x = 36
A carpenter can build 1 doghouse in 1 day. How many doghouses can 12 carpenters build in 20 days?
Answer:
240
Step-by-step explanation:
12x20=240
Find the solution mentally.
d. 24 = -12
Answer:
was this question written correctly
Step-by-step explanation:
this question can't be solved
Washington College has many students enrolled in their engineering program. Engineering students at Washington College last year received an average of $9,600 in scholarships and grants. This year, the average is $5,184. What is the percent of change in the average amount received? Was this an increase or decrease?
Answer:
The percent of change in the average amount received was 46% and this was a decrease.
Step-by-step explanation:
You can use the following formula to calculate the percentage of change:
% of change = ((New number-Original number) / Original Number) x 100
New number= 5,184
Original number= 9,600
Now, you can replace the values in the formula:
% of change = ((5,184-9,600) / 9,600) x 100
% of change = (-4,416 / 9,600) x 100
% of change = (-0.46) x 100
% of change = -46%
According to this, the answer is that the percent of change in the average amount received was 46% and this was a decrease.
x square + 2 x - 5 equals to 0
Answer:
x = -1 ± √6
Step-by-step explanation:
[tex]x^{2} +2x - 5 = 0[/tex]
Lets use the quadratic formula → [tex]x = \frac{-b + \sqrt{b^{2} - 4ac} }{2a} \:or \frac{-b - \sqrt{b^{2}- 4ac } }{2a}[/tex]
So ,
[tex]x = \frac{(-2) + \sqrt{(2)^{2} - (4\times1\times-5) } }{2\times1} \:or \frac{(-2) - \sqrt{(2)^{2} - (4\times1\times-5) }}{2\times1}[/tex]
[tex]=> x = \frac{-2 + \sqrt{24} }{2} \:or \frac{-2-\sqrt{24} }{2}[/tex]
[tex]=> x = \frac{-2 + 2\sqrt{6} }{2} \:or \frac{-2 - 2\sqrt{6} }{2}[/tex]
Lets take 2 common from numerator.
[tex]=> x = \frac{2(-1 + \sqrt{6}) }{2} \:or \frac{2(-1-\sqrt{6}) }{2}[/tex]
Cancelling 2 from numerator & denominator gives
[tex]x = (-1+\sqrt{6} ) \: or (-1 - \sqrt{6} )[/tex]
Javier had $305 in his bank account. His bank charges a fee of $7.50 each month that a balance is below $500. If he makes no other deposits or withdrawals, how much money is in Javier’s account at the end of three months? Write an equation and solve.
Answer:
$282.5
Step-by-step explanation:
$7.50 * 3= $22.5
$22.5 is the total money that is charged from Javier's bank account.
Subtracting that from his $305, we get:
$305 - $22.5 = $282.5
Therefore, Javier has $282.5 in his bank account at the end of three months.
Hello 928747!
So Javier has $305 to begin with but his bank charges him $7.50 if he has less than $500 in his account.
305 < 500
So, since he has less than $500 he will lose $7.50
305 - 7.50 = 297.50
So after they take $7.50, he will have $297.50
but he had less than $500 for 3 months so they would take x 3 more than $7.50
7.50 x 3 = 22.50
305 - 22.50 = 282.50
After three months, Javier will have $282.50
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What is the definition of voyage
Answer:
The definition of voyage is
Step-by-step explanation:
Voyage- A long journey involving travel by see or in space
can you write an expression that will simplify to 6x - 4y?
PLS HELP
20 points
do girls actually pöø'p?
lm'a' o
Answer:
what kind of question is this? i-
Step-by-step explanation:
yes girls p o o p
Answer:
Yes they do
Step-by-step explanation:
I just needed more points.
HELP!!!! 10 points marked brainliest
Answer:
y = 65°
Step-by-step explanation:
equal sides correlate to equal angles
if sides opposite angles 'y' and 65° are the same then their angles are also
A liquid changing to a gas Is an example of
please please help, :)
Answer:
4
Step-by-step explanation:
The LCM
The LCM of 12,18,2412,18,24 is 2⋅2⋅2⋅3⋅3=722⋅2⋅2⋅3⋅3=72.
the HCF
The prime factorization of 36 is
2 x 2 x 3 x 3
The prime factorization of 54 is
2 x 3 x 3 x 3
2 x 3 x 3 = 18
72÷18=4
5 bags of dog food and 2 bags of cat food weigh 45 pounds. 6 pounds of dog weighs 45 pounds. All 6 of dog food weighs 45 pounds. All 6 bags of dog food weigh the same and app bags of cat food weigh the same. What is the ratio of dog food to cat food?
Answer:
k = y/x
k = 30/2
k = 15 <=== constant of proportionality
Step-by-step explanation:
which equation is true
Answer:
A
Step-by-step explanation:
Well, this isn't too hard.
Since the left is the negative side (R) and the right is the positive side (S), a positive and a negative with the same number will equal zero if only one of them are negative.
You ALWAYS subtract when there's two different signs.
Write the rule for the linear function. Remember a function rule is written using f(x)
Answer:
The rule for the linear function will be:
[tex]f(x) = -2x+5[/tex]
Step-by-step explanation:
We know that linear function can be represented using the slope-intercept formula
y = mx+b
where m is the slope and b is the y-intercept
Given the function is linear
Taking two points from the table to determine the slope
(1, 3)(2, 1)[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(1,\:3\right),\:\left(x_2,\:y_2\right)=\left(2,\:1\right)[/tex]
[tex]m=\frac{1-3}{2-1}[/tex]
[tex]m=-2[/tex]
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = -2 and the point (1, 3)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - 3 = -2 (x-1)[/tex]
[tex]y-3 = -2x+2[/tex]
adding 3 to both sides
[tex]y-3+3 = -2x+2+3[/tex]
[tex]y = -2x+5[/tex]
or
[tex]f(x) = -2x+5[/tex]
Therefore, the rule for the linear function will be:
[tex]f(x) = -2x+5[/tex]
Find the equation of the line passing through point (4,2) and perpendicular to AB
Step-by-step explanation:
The gradient of the perpendicular line is 3.
We have y = 3x + c.
When x = 4, y = 2.
=> (2) = 3(4) + c, c = -10.
Hence the line equation is y = 3x - 10.
hi i need help in math, this is a big grade, :(
Answer:
oop q-q
Step-by-step explanation:
(Ignore this) I mean you can get the points if u want lol
Answer:
yuhhhh thanks brah hehehejejejne
In a bakery that sells cookies, there are 4 oatmeal cookies for every 11 chocolate cookies. If there are 285 cookies altogether, how many oatmeal cookies are there? Pls explain how u solved
There are 76 oatmeal cookies:
4 + 11 = 15
285/15 = 19
19 × 4 = 76
What is the approximate volume of the cone? Use 3.14 for it.help please
Answer:
157.08, so it is the first opition
Step-by-step explanation
Volume of a cone is pie x the radius squared by 2 x the hieght divided by 3
pie x 5^2 x 6/3
pie x 25 x 2
157.08
MUSIC Thirty-six percent of the songs on your MP3 player are pop songs.
Write this percent as a decimal.
Answer:
.36
Step-by-step explanation:
36% -> 36/100 -> .36
In the diagram, AGEF and AHEF are congruent. What is the value of x? A. 60 B. 41 C. 28 D. 30
Answer: C) 28
Explanation:
The triangles are congruent, so the corresponding pieces are congruent. Specifically the angles on the right side are congruent, as shown by the tickmarks they have in common.
Set those two expressions equal to one another. Solve for x.
2(x+2) = 60
2x+4 = 60
2x = 60-4
2x = 56
x = 56/2
x = 28
The correct value of the variable x is,
⇒ x = 28
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In the diagram,
ΔGEF and ΔHEF are congruent.
Hence, We can formulate;
⇒ 2 (x + 2) = 60°
⇒ 2x + 4 = 60
⇒ 2x = 60 - 4
⇒ 2x = 56
⇒ x = 28
Thus, The correct value of the variable x is,
⇒ x = 28
Learn more about the triangle visit;
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1/5 of the time table of a class given to English while 1/8 is given to mathematics. What fraction is left for the other subjects
1. Write a congruence statement for the pair of triangles shown.
AUTS = ARST
AUTS = ASTR
AUTS = ARTS
Answer: ΔUTS ≅ ΔRST
Step-by-step explanation:
ΔTSU is congruent to ΔSTR, not ΔUTS
ΔUTS is congruent ΔRST not ΔRTS
ΔUTS ≅ ΔRST
Hope I helped!
MATH HELP ASAP! MARKING BRAINLIEST
Answer:
y=5x
Step-by-step explanation:
Help with this please. I’d appreciate if you showed the steps and the answer. Thanks!
Answer:
Diagonal=11.3m
Area of square (A) =1/2*d^2
=1/2*(11.3)^2
=63.845m^2
We know,
Area of square A= l^2
63.845=l^2
L=
[tex] \sqrt{63.845 } [/tex]
L=7.99m
Now,
Perimeter of square =4l
=4*7.99
=31.96m
classify this triangle by its angle
Answer: acute
Step-by-step explanation:
Any angle less then 90 degrees is acute
Answer:Idek
Step-by-step explanation:
PLEASE ANSWER THE QUESTION I ASKED PREVIOUSLY IT'S REALLY IMPORTANT AND TIME SENSITIVE - IT'S MATH
Answer:
answered
Step-by-step explanation:
Sarah earns $20 a day working after school. She spent 30% of her daily earnings on Monday. How much money did she spend on Monday?
Answer:
$6.0
Step-by-step explanation:
If she only worked 1 day and had $20, then the answer is
20 * 3% = 20 * .3 = $6.0
Answer:
Hi! I believe the answer is 6$
Step-by-step explanation:
If you are trying to get 30% of 20, you divide 20 by 30. You would then get .6666666 or 6. I double-checked my answer online!
Hope this helps, good luck! :)
HELP! BRAINLIEST!
A piece of Styrofoam has a charge of -0.004 C and is placed 3.0 m from a piece of salt with a charge of -0.003 C. How much electrostatic force produced?
And please show work of how you got the answer pls :)
Given that,
Charge q₁ = -0.004 C
Charge q₂ = -0.003 C
Distance between charges, d = 3 m
To find,
The electrostatic force between charges.
Solution,
The formula for the electrostatic force is given by :
[tex]F=\dfrac{kq_1q_2}{d^2}\\\\F=\dfrac{9\times 10^9\times 0.004 \times 0.003 }{(3)^2}\\\\=12000\ N[/tex]
So, 12000 N of electrostatic force is produced.
This question is based on the concept of electrostatic.Therefore, the electrostatic force produced is 12000 N.
Given:
Charge q₁ = -0.004 C
Charge q₂ = -0.003 C
Distance between charges, d = 3 m
We need to determined the how much electrostatic force produced.
According to the question,
By using the formula for the electrostatic force is given by :
[tex]F = k \dfrac{q_1 \; q_2}{d^2} \\\\F = \dfrac{9 \times 10^9 \times 0.004 \times 0.003 }{3^2} \\\\\bold{F= 12000 \; N} \\[/tex]
Therefore, the electrostatic force produced is 12000 N.
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https://brainly.com/question/9774180
You are the manager at an amusement park. The park's maximum capacity is 4500 people. You have also worked out that there needs to be 2800 people in the park to make a profit after all the overhead costs and employee pay. If people are entering the park at a rate of 12 people a minute and there are 850 people in the park currently, between how many minutes should the door stay open to let guests in?
Answer:
if you need the compound equality it is 2800 ≤ 850 + 12m ≤ 4500
Step-by-step explanation:
m= minutes 2800 is the minimum 4500 is the maximum 850 is from the people already in the park and 12m came from the people coming in per minute so i multiplied the 12 by m