Answer:
[tex]x^{2}+y^{2}-x[/tex]
Step-by-step explanation:
combine like terms:
(3x²+2y²-3x) ₋ (2x²+y²- 2x)
3x² - 2x² = 1x² = x²
2y² - y² = 1y² = y²
(-3x) - (-2x) = -1x = -x
x² + y² -x
A language arts test is worth 100 points. There is a total of 26 questions. There are spelling word questions thatare worth 2 points each and vocabulary word questions worth 5 points each. How many of each type of questionare there?
Answer:
Spelling word questions = 10
vocabulary word questions = 16
Step-by-step explanation:
Let
Spelling word questions = x
vocabulary word questions = y
Total points = 100
Total questions = 26
x + y = 26 (1)
2x + 5y = 100 (2)
From (1)
x = 26 - y
Substitute x = 26 - y into
2x + 5y = 100
2(26 - y) + 5y = 100
52 - 2y + 5y = 100
- 2y + 5y = 100 - 52
3y = 48
y = 48 / 3
= 16
y = 16
Substitute y = 16 into
x + y = 26
x + 16 = 26
x = 26 - 16
= 10
x = 10
Spelling word questions = 10
vocabulary word questions = 16
B and c are supplementary. The measure of b is 83 more than the measure of c. Find the measure of each angle
Answer:
C = 48.5° ; B = 131.5°
Step-by-step explanation:
When any two angles are supplementary , it means that their sum is equal to 180°.
It's given in the question that B is 83 more than C . So,
[tex]B = C + 83[/tex]
Also it's given in the question that B & C are supplementary angles.
[tex]=> B + C = 180[/tex]
[tex]=> C + 83 + C = 180[/tex]
[tex]=> 2C = 180 - 83 = 97[/tex]
[tex]=> C = \frac{97}{2} = 48.5[/tex]
Hence,
[tex]B = 83 + 48.5 = 131.5[/tex]
∴ C = 48.5° ; B = 131.5°
What are the two variations of the Pythagorean theorem to use? (short and long side)
Step-by-step explanation:
the Pythagorean Theorem only works with right triangles. You can use the Pythagorean Theorem to find the length of the hypotenuse of a right triangle if you know the length of the triangle's other two sides, called the legs.
Please help asap!! I will mark you as brainliest :)
Answer:
She will need to pay $320 for 24 appetizers.
Step-by-step explanation:
If there are 3 appetizers offered at around $40 and she is paying $320 for it, then she can pay up to 8 times in which she will have 24 appetizers at her wedding as a result.
If f(x)=1/3x+7 and g(x)=-2x-5, find f(g(-7))
Please help.
Answer:
[tex]f(g(-7))=10[/tex]
Step-by-step explanation:
We have the two functions:
[tex]\displaystyle f(x)=\frac{1}{3}x+7\text{ and } g(x)=-2x-5[/tex]
And we want to find:
[tex]f(g(-7))[/tex]
So, we will first find g(-7). We know that:
[tex]g(x)=-2x-5[/tex]
Then by substitution:
[tex]g(-7)=-2(-7)-5[/tex]
Evaluate. Multiply:
[tex]g(-7)=14-5=9[/tex]
Therefore, we can rewrite our expression as:
[tex]f(g(-7))=f(9)[/tex]
Since we know that:
[tex]\displaystyle f(x)=\frac{1}{3}x+7[/tex]
By substitution:
[tex]\displaystyle f(9)=\frac{1}{3}(9)+7[/tex]
Evaluate:
[tex]f(9)=3+7=10[/tex]
Therefore:
[tex]f(g(-7))=10[/tex]
Answer:
[tex]\boxed {\boxed {\sf f(g(-7))= 10}}[/tex]
Step-by-step explanation:
We are asked to find f(g(-7)) given these 2 functions:
[tex]f(x)=\frac{1}{3}x+7[/tex][tex]g(x)= -2x-5[/tex]We must work from the inside out, so first find g(-7).
1. g(-7)
The function for g is:
[tex]g(x)= -2x-5[/tex]
Since we want to find g(-7), plug -7 in for x.
[tex]g(-7)= -2(-7)-5[/tex]
Solve according the PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
Multiply -2 and -7.
[tex]g(-7)=14-5[/tex]
Subtract 5 from 14.
[tex]g(-7)=9[/tex]
2. f(9)
Refer back to the original problem: f(g(-7))
Since we found that g(-7) is 9, we can substitute 9 in: f(9)
The function for f is:
[tex]f(x)= \frac{1}{3} x+7[/tex]
Plug 9 in for x.
[tex]f(9)=\frac{1}{3}(9)+7[/tex]
Solve according to PEMDAS and multiply 1/3 and 9.
[tex]f(9)=3+7[/tex]
Add 3 and 7.
[tex]f(9)=10[/tex]
f(g(-7) is equal to 10
Find the value of q such that qx^2 -5qx-3 divided by x +2 has a remainder of 4.
Answer:
Step-by-step explanation:
(qx^2-5qx-3)÷(x+2) gives remainder 14q-3
Equating remanders 14q-3=4
14q=7
q=1/2
Can I have help with this question? I need the answer with explanation
Answer:
44,39 in
Step-by-step explanation:
To find the space diagonal (whatever it's called in English) you begin looking at the bottom of the box. We want to know the diagonal since the diagonal is one of the sides of the other triangle.
To do this we can start by using trigonometry. (SOH-CAH-TOA)
We need to use Sin t. (Since we wanna know the hypothenuse and we have the opposite.)
So...
Sin(40) = 24 in ÷ h
Then we need to actually be able to calculate this, which we will be able to do if we multiply with h on both sides.
hSin(40) = 24 in
Like that. And now we can divide both sides with Sin(40). So we calculate 24 in devided by Sin(40).
h = 24 in ÷ Sin(40) = 37,34 in
Okay so now we now the diagonal, 37,34 in. Now we can use Pythagorean theorem. (2a+2b=2c and c = square root of (2a+2b))
37,34 in^(2) + 24 in^(2) = 1970,28
And now we take the square root of 1970,28.
Which is about 44,39 in.
If you're not familiar with these concepts I suggest you search them up.
How are the triangles similar? Triangle 1 sides 68,54 Triangle 2 sides 63,68
A. SSS
B. SAS
C. AA
D. Not similar
On the first visit to the veterinarians office chorus kitten weighed 550 g on the second visit the kitten had ganged 350 g on the third visit the kitten had gained 300 g what is the percent increase since the first visit in the kittens wait rounded to the nearest percent
Answer:
[tex]\%Increase = 118\%[/tex]
Step-by-step explanation:
Given
[tex]Initial\ Weight = 550g[/tex]
[tex]First\ Addition = 350g[/tex]
[tex]Second\ Addition = 300g[/tex]
Required
Determine the percentage increment
First, we have to calculate the new weight
[tex]New\ Weight = Initial\ Weight + First\ Addition + Second\ Addition[/tex]
[tex]New\ Weight = 550g + 350g + 300g[/tex]
[tex]New\ Weight = 1200[/tex]
The percentage increment is then calculated as:
[tex]\%Increase = \frac{New\ Weight - Initial\ Weight}{Initial\ Weight} * 100\%[/tex]
[tex]\%Increase = \frac{1200g - 550g}{550g} * 100\%[/tex]
[tex]\%Increase = \frac{650g}{550g} * 100\%[/tex]
[tex]\%Increase = \frac{650}{550} * 100\%[/tex]
[tex]\%Increase = 1.182* 100\%[/tex]
[tex]\%Increase = 118.2\%[/tex]
[tex]\%Increase = 118\%[/tex] -- Approximated
Hence, the percentage increment is approximately 118%
Eight more than three times a number is equal to the number.
What is the number
Answer:
-4
Step-by-step explanation:
-4(3) = -12
-12 + 8 = -4
After solving the algebraic equation, the unknown number is equal to -4.
Let the number be x.To write the word problem as an algebraic equation:
In this exercise, we are required to translate the given word problem into a mathematical (algebraic) expression and then solve for the unknown variable (number):
Translating the word problem into an algebraic expression, we have;
Eight more than three times a number:
[tex]3x + 8[/tex]
Equating the above to the number, we have:
[tex]3x + 8=x\\\\3x-x=-8\\\\2x=-8\\\\x=\frac{-8}{2}[/tex]
x = -4
Read more on word problems here: https://brainly.com/question/2515220
which is greater 9.018 or 9.108
Answer:
9.108
You only need to look at the 10nths place to determine which number is larger
Step-by-step explanation:
Alonzo works as a tutor for $7 an hour and as a waiter for $8 an hour this month he worked a combined total dollar total dollar amount he earned this month
Answer: -1t + 720
Step-by-step explanation:
He worked at both jobs for 90 hours for this month.
He worked t hours as a tutor which means that as a waiter he worked;
= 90 - t hours
The amount earned is therefore;
= 7t + (8 * (90 - t))
= 7t + 720 - 8t
= -1t + 720
Sam is 27 years old his age is 6 yeard greater than 3 times Brandons age whixh method can be used to determine brandons age
Answer:
Brandon is 7 years old
Step-by-step explanation:
(27 - 6) / 3 = 7
27 = Sam's age
6 = years greater compared to/than means subtraction
3 = times greater compared to/than means divion.
27 - 6 is in parentheses because it must be done first.
Please give brainlyest
Have a nice day
;)
how do you do the pythagorean theorem? im really confused.
Answer:
A^2+B^2= C^2 or A+B=C
Step-by-step explanation:
Hope this helps
will give points 10 points
Answer: sorry bro don't know
Step-by-step explanation I'm sorry I don't know
Answer:
(1/2) ( 5 - 7x) = 8 - 4x - 6
(1/2) (5 - 7x) = 2 - 4x multipy through by 2
5 - 7x = 4 - 8x add 8x to both sides.......subtract 5 from both sides
x = -1
Step-by-step explanation:
hope I helped more than him
Please help I need to get this done please help me
Answer:
4
Step-by-step explanation:
The y-intercept is where the line crosses the y-axis.
At (0,4), you can see the purple line cross the y-axis, therefore it is the y-intercept.
Answer:
3/4
Step-by-step explanation:
Write an equation in point-slope form of the line that passes through the given point and has the given slope. (3, –8); m = –5
Answer:
y+8=-5(x-3)
Step-by-step explanation:
The formula for point-slope form is y-y1=m(x-x1)
The points for (x1, y1) are (3, -8), meaning that 3 is x1 and -8 is y1.
So, start by writing your equation like this: y--8=m(x-3)
For the equation y--8=m(x-3), the y--8 will change to a + sign because two negatives make a positive, right? So, the equation should now look like this: y+8=m(x-3).
We know that the slope (m) is -5. Plug that into the equation to get this: y+8=-5(x-3)
And there you have it!! The equation is now in point-slope form!!
y+8=-5(x-3) is the final answer!!
Hope that helps you!! Please give me brainliest!!
9.75 divided by 5 equals
Answer:
1.95
Step-by-step explanation:
what is the answer to : 15/6 + 2 3/6
Answer:
5
if you wrote the second term in mixed fraction!
or,
7/2 , if you wrote it as a product.
Answer:
5
Step-by-step explanation:
HELPPPPPPPPPP!!!!!!!!
IF YOU GOOD AT MATH PLZ HELP!!! Algebra II
Answer:???
Answer:
sorry di ko alam
Step-by-step explanation:
Answer:
A , C , D
Step-by-step explanation:
Mark as Brainliest.
Because I am Indian and solving your question from India.
What is this word phrase as a math expression?
15 fewer than the product of 4 and a number.
4÷x−15
(4+x)−15
4x−15
15−4x
Answer:
Answer is 4x - 15......
Answer:
4x-15
Step-by-step explanation:
4x-15 is the answer
Pls answer need help asap!!
Joanna waited in line for less than 15 minutes to get a ticket to an amusement park. Which number line shows the amount of time Joanna waited in line?
Answer:
Step-by-step explanation:ifk
Answer:
the answer is a or b .
Step-by-step explanation:
had the same question on my test.
how do you figure this out? Fill in the missing amounts (do not use commas or decimal points).
July Aug. Sept. Oct. Nov. Dec.
Receipts $700 $650 $800 $960 $895 $925
Expenses $680 $650 $710 $795 A. $850
Net Cash Flow B. $0 C. $165 $105 D.
Cumulative Balance $20 E. $110 F. $380 $455
$
Answer:
A. 790 B. 20 C. 90 D. 75 E. 20 F. 275
Step-by-step explanation:
How can you get the variable alone in the
equation 25?
5
a
Answer:
5
Step-by-step explanation:
5x5=25
or
5xa=25
a=5
Answer:
a=5
Step-by-step explanation:
The basic technique to isolate a variable is to “do something to both sides” of the equation, such as add, subtract, multiply, or divide both sides of the equation by the same number.
[tex]\frac{5a}{5} =\frac{25}{5}[/tex]
a=5
-25/40+(64/40) as a fraction (simplest form)
Answer:
39/40
Step-by-step explanation:
-25/40 + 64/40 already has a common denominator so you just need to add the numerators. -25 +64 = 39 over the denominator of 40.
39/40
Step-by-step explanation:
-5/8 + 16/10 = -5/8 + 8/5 = -25+64/40 = 39/40
The regular price of a jacket is $62.00. If the discount rate is 15%, how much was the discount?
Answer:
$52.70
Step-by-step explanation:
HELP!!! 48 pts. Solve: 2|x - 3| - 4 ≥ 10 x ≥ -10 or x ≤ -4 x ≥ 10 or x ≤ 4 x ≥ 10 or x ≤ -4 x ≥ -10 and x ≤ 4
Answer:
8x^2 = 5
x^2 = 5/8
x = sqrt(5/8)
x = sqrt(40)/8
x = 4(sqrt 10)/8
x = + sqrt 10/2
Step-by-step explanation:
please help me please
Answer:
6 rides
Step-by-step explanation:
after the food (16 -4) he will have 12 tickets
and 2 tickets for each ride so 2x = 12 divide both sides by two and the number of rides will be 6