Answer:
x>5
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
4x−15>−2x+15
Step 2: Add 2x to both sides.
4x−15+2x>−2x+15+2x
6x−15>15
Step 3: Add 15 to both sides.
6x−15+15>15+15
6x>30
Step 4: Divide both sides by 6.
Answer:
x>5 have a great day
Step-by-step explanation:
Kendra just bought a new house and needs to buy new sod for her backyard. If the dimensions of her yard are 24.6 feet by 14.8 feet, what is the area of her yard? Do not include units (ft2) in your answer.
Given:
Dimensions of Kendra's yard are 24.6 feet by 14.8 feet.
To find:
The area of her yard.
Solution:
Let as consider,
Length of yard = 24.6 ft
Width of yard = 14.8 ft
We know that,
Area of a rectangle = Length × Width
Using the above formula, we get the area of her yard.
[tex]Area=24.6\times 14.8[/tex]
[tex]Area=364.08[/tex]
Area of her yard is 364.08 ft² and without including the units ft², we get 364.08.
Therefore, the area of her yard is 364.08.
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:
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°
video Given: A B ‾ ⊥ A C ‾ , AB ⊥ AC , A D ‾ ≅ A E ‾ AD ≅ AE and B E ‾ ≅ C D ‾ . BE ≅ CD . Prove: D F ‾ ≅ E F ‾ DF ≅ EF .
Answer:
prove: DF-~EF- DF~EF ~~AD
work out the answer to 2.6882*14.71728 and give your answer correct to 2 decimal places
Answer:
the answer should be 39.56
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
How are the triangles similar? Triangle 1 sides 68,54 Triangle 2 sides 63,68
A. SSS
B. SAS
C. AA
D. Not similar
What is the difference between an RRSP and an RESP?
Answer:
RRSP is an acronym for “registered retirement savings plan” and, naturally is all about saving for when you're old. RESP stands for “registered education savings plan” and provides a great way to sock money away for your child's university education.
Step-by-step explanation:
The vertex of this parabola is at -5, -2. when the x-value is 4, the y-value is 2. What is the coefficient of the squared expression in the parabola's equation
Answer:
4/81 = a
Step-by-step explanation:
The vertex form of a parabola is
y = a (x-h)^2 +k where (h,k) is the is the vertex
y = a (x- -5)^2 -2
y = a (x+5)^2 -2
Substituting the point into the equation
2 = a( 4+5)^2 -2
2 = a( 9)^2 -2
2 = a (81) -2
Add 2 to each side
4 = 81 a
Divide each side by 81
4/81 = a
Answer:
a=4/81
Step-by-step explanation:
Hopefully this helps :)
-5x-4y=2a 4x-5y=2 which of the following choices of A will results in a system of linear equations with exactly one solution
Answer:
Any of them. a ∈ RStep-by-step explanation:
-5x - 4y = 2a 4x - 5y = 2
-4y = 5x + 2a -5y = -4x + 2
y = (5x + 2a):(-4) y = (-4x + 2):(-5)
y = -⁵/₄x - ¹/₂a y = ⁴/₅x - ²/₅
m₁ = -⁵/₄, b₁ = -¹/₂a m₂=⁴/₅, b₂= -²/₅
-⁵/₄ ≠ ⁴/₅
Different slopes means that two lines have one point of intercept (no mater what the b's are). That means that the system of linear equations has exactly one solution for any value of a.
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%
Work out 97.974436 divided 14 and give your answer to 2 decimal places.
Answer:
6.998 rounded to 7.00
Step-by-step explanation:
Part B
Enter the numerical coordinates of the vertices of quadrilateral ABCD in the table. (Point A has been done for you.) Then predict the numerical
coordinates of the vertices of quadrilateral A'B'C'D' as the figure translates four different ways: 7 units up, 1 unit down, 4 units to the right, and 3
units to the left.
9514 1404 393
Answer:
up: (-3, 5); down: (-3, -3); right: (1, -2); left: (-6, -2)
Step-by-step explanation:
As you know, the coordinates of a given point tell you the distance ...
(right, up)
So, a displacement 7 units up adds 7 to the second coordinate value:
A(-3, -2) ⇒ A'(-3, -2+7) = A'(-3, 5) . . . . 7 units up
Likewise, 1 unit down subtracts 1 unit from the second coordinate value:
A(-3, -2) ⇒ A'(-3, -3) . . . . 1 unit down
__
Similarly, left-right changes affect only the first coordinate. Displacements right are added; displacements left are subtracted.
A(-3, -2) ⇒ A'(-3+4, -2) = A'(1, -2) . . . . 4 units right
A(-3, -2) ⇒ A'(-6, -2) . . . . 3 units left
Express 8+11+14+17+20 using sigma notation?
Answer:
70
Step-by-step explanation:
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.
A triangle has sides with lengths of 13 yards, 34 yards, and 36 yards. Is it a right triangle?
Answer:
Yes, if you round up the decimals.
Step-by-step explanation:
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
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 isolate 1/2h -2 = -5
Answer:
Here is how to isolate the variable h.
Step-by-step explanation:
First, you have to isolate the variable which in this equation is "h." So you're going to add 2 to each side, which will give you
1/2h -2 + 2 = -5 + 2
1/2h = 3
now you've isolate the variable and you can solve for h.
(h = 6)
The i-Ready Answer:
h=14
The i-Ready Explanation:
1/2h-12= -5
+12 +12 ( Add 12 on both sides )
1/2h=7
2 x 1/2h=2 x 7 ( Multiply by 2 on both sides )
h=14
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:
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.
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
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
Find f(x) and g(x) so that the function can be described as y = f(g(x)). (5 points)
y = eight divided by x squared' + 2
(open the picture to understand better)
Step-by-step explanation:
f(x) = 8/x + 2
g(x) = x²
When y = f(g(x)),
y = f(x²) = 8/x² + 2.
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
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
Help WiTh tHis ThIng PleAsE *dies* lol
Answer:
see explanation
Step-by-step explanation:
Since it is a balance then both sides are the same, that is equal.
The 4 weights represented by circles can be written as 4w, then
4w = 25 ← equation representing the situation
Divide both sides by 4 to find w
w = 25 ÷ 4 = 6.25 ← the weight of 1 circle
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
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:
-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