Students need at least 75 hours of volunteer service to meet their graduation requirements. Sally has already completed 48 hours. Write and solve an inequality to determine how many more hours Sally needs to complete.
Answer:
48+x=75
Step-by-step explanation:
Subtract 48 from both sides. 75-48 is equal to 27. x=27
Answer:
x [tex]\geq[/tex] 27
Sally has to complete at least 27 more hours
Step-by-step explanation:
Let x represent the number of hours she will complete next
Since students need at least 75 hours, use a greater than or equal to sign.
The total number of hours that Sally will complete can be represented by
x + 48, since she has already done 48 hours.
Use the greater than or equal to sign, and put 75 on the other side:
x + 48 [tex]\geq[/tex] 75
Next, solve the inequality:
x + 48 [tex]\geq[/tex] 75
x [tex]\geq[/tex] 27
So, Sally has to complete at least 27 more hours.
One spring, a group of students measured rainfall totals at their school. chart shows how many inches of rain the students measured each month. How many more inchés did it rain in May than in April? MONTH RAINFALL March April May 1.7 2.6 3.8
Answer:
1.2
Step-by-step explanation:
apex leaning and I don't know why they want me to write 20 characters long or something like that before posting this
3 mi
4 mi
What is the length of the hypotenuse?
miles
Submit
Mia pays $178 every 4 months for her piano lessons. At this rate, how much will Mia pay for 3 years of piano lessons?
Answer:
I think the answer is 734.
Step-by-step explanation:
You do $178 x 4 months = 716
716 x 4 years is 734
Can someone help me out plz?! You can get 50 points?!
Try using the pythagorean theorem i think?
Answer:
The Base is Greater than the height
Step-by-step explanation:
So the answer has to be greater than eight.
what is the equation of the line in slope intercept form
Answer:
y=x-70
Step-by-step explanation:
Problem 1:
The owner of the store bought the
computers for $299.99 each and
wants to mark-up 40%. How much
will the computers cost after the
mark-up?
Answer:
It will cost $120.00
Step-by-step explanation:
Patti ran the race in 8.4 minutes. Maisha ran it in 8.04 minutes. How does the value of 4 in Maisha's time compare with the value of 4 in Patti's time?
Answer:
Maisha ran the race in .36 seconds faster than Patti.
8.4 - 8.04 = .36
The point P(x,y) lies in the terminal side of an angle theta= -60° in standard position. What are the signs of the values of x and y?
Answer:
Step-by-step explanation:
x is positive and y is negative
Answer:
(x,-y)
Step-by-step explanation:
What is the reason for step 3 of this proof?
Answer:
Vertical Angles Theorem
Step-by-step explanation:
Please help me
Mariah earns $32.75 per week working as a pet sitter. She worked as a pet sitter for 2 weeks. She previously saved $70.99 in allowance money. She spent $12.25 of her total earning to buy video games. Mariah put 1 over 4 of the remaining money in her savings account. Mariah used the following steps to find the total money she put in her savings account:
Step 1: [($32.75 ⋅ 2) + $70.99 − $12.25] ⋅ 1 over 4
Step 2: [$65.5 + $70.99 − $12.25] ⋅ 1 over 4
Step 3: $136.49 − $3.0625 = $133.4275
In which step did Mariah first make an error? Explain, using words, how Mariah can correct her error.
Answer:
1) Step 3: S = $136.49 - $3.0625 × 1/4
2) By completing the operations within the parenthesis in Step 2, before multiplying the result by 1/4
Step-by-step explanation:
1) From the given information, we have;
The amount amount Maria earns as a pet sitter = $32.75
The number of weeks Maria worked as a pet sitter = 2 weeks
The amount Mariah previously saved = $70.99
The amount Maria spent = $12.25
The amount Mariah put in her savings account = 1/4 of the remaining (balance) money
Therefore, we have;
The amount placed in Mariah's savings account, S, is given as follows;
Step 1: S = [($32.75 × 2) + $70.99 - $12.25] × 1/4
Step 2: S = [($65.5 × 2) + $70.99 - $12.25] × 1/4
Step 3: S = [($136.49) - $12.25] × 1/4
Step 4: S = $124.24 × 1/4
Step 5: S = $31.06
The amount Mariah puts in her saving's account = $31.06 and the step Mariah first makes an error is Step 3 where what she put down was as follows;
Step 3: S = $136.49 - $3.0625 × 1/4
2) She can correct the error by completing the calculation of the operation within the parenthesis in Step 2, before multiplying by the factor 1/4.
Write a quadratic equation in standard form with the given roots. Show your work to find the equation. -6, 5/2
Answer:
x^2 + 7/2 + 15 is the answer.
Step-by-step explanation:
Make the number that is equal to x be on the side of the x, then multiply those to values.
x = -6
x= 5/2
(x + 6)*(x - 5/2)
Now, distribute the x to the x and the negative 5/2, and add that to 6 distributed to x and negative 5/2. Simplify.
[tex]x^{2} + -\frac{5}{2}x + 6x + 15\\\\x^{2} + \frac{7}{2} + 15[/tex]
#teamtrees #WAP (Water And Plant)
Can you explain to me how to solve this problem?
Answer:
110
Step-by-step explanation:
Ok so you will do 22 times 5 first
Which will be 110!
You can double check
110 divided by 5 is.. 22!
The number 2200 is first increased by 30%. The value obtained is next decreased by 50%. Find the final number.
please help and thank you!
Answer:
Its d i took the class
Step-by-step explanation:
Please tell me the answer
Answer:Right
Step-by-step explanation:
Positive on the graph is right have a great day hope this helps!!
On a coordinate plane, a curved line labeled f of x with a minimum value of (1.9, negative 5.7) and a maximum value of (0, 2), crosses the x-axis at (negative 0.7, 0), (0.76, 0), and (2.5, 0), and crosses the y-axis at (0, 2).
Which statement is true about the graphed function?
F(x) 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) 0 over the intervals (-0.7, 0.76) and (0.76, ∞).
Answer:
The answer is D
Step-by-step explanation:
EDGE2020
The answer is:
A) F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5)
F(x) is the output, or y values, and the y values on this coordinate plane from (negative infinity, -0.7) to (0.76, 2.5) do not have values above 0. Hence, F(x) is less than 0 over the given intervals.
What is the solution to this equation
-4x + 2 = 26
Answer:
x=-6
Step-by-step explanation:
Move all terms that don't contain x to the right and solve using the elimination process.
Please Help?!
A lab technician needs to determine whether cells in a test tube are prokaryotic or eukaryotic. The technician has several dyes she could use to stain the cells. Four of the dyes are described below. Which dye should she use to determine if the cells are prokaryotic or eukaryotic?
Answer:
nile blue should be the correct answer
Step-by-step explanation:
Which statement is true regarding the functions on the
graph?
f(2) = g(2)
f(0) = g(0)
f(2) = g(0)
f(0) = g(2)
Answer:
Im pretty sure its f(0) = g(0)
Step-by-step explanation:
Fie A(-1,2) B(3,-1) C(4,-1)
a)Determinati ecuatia carteziana a dreptei AB
b)lungimea medianei din punctul C a triunghiului ABC
c) Sa se afle coordonatele vectorului AB
Helpp plssss
do you mind rephrasing it in english
will
A belt and a wallet cost $42.7 belts and 4 wallets cost $213 find the cost of each item
Answer:
A belt costs $15 and a wallet costs $27.
Step-by-step explanation:
Let's mark price of a belt with x and price of the wallet with y. That leaves is with a system of equations:
x + y = $42
7x + 4y = $213
The goal when solving this system is to get rid of one of the variables. We can do that by multiplying first equation with -4:
-4x - 4y = -168
7x + 4y = 213
Now, we simply add these two equations up:
-4x - 4y + 7x + 4y = -168 + 213
3x = 45
x = $15
Now, we plug in x into any of the two starting equations to find y:
x+y=42
15 + y = 42
y = $27
The parabola opens upward has x = 2 as an axis of symmetry and contains the non -vertex points (1, 9) and (4, 27) write the equation in vertex form for this parabola .
Answer:
f(x) = 6(x - 2)² + 3Step-by-step explanation:
f(x) = a(x - h)² + k - vertex form of the equation of the parabola with vertex (h, k)
"the parabola opens upward" means: a>0
"the parabola has x = 2 as an axis of symmetry" means: h = 2
so f(x) = a(x - 2)² + k
"the parabola contains the point (1, 9)" means:
9 = a(1 - 2)² + k
9 = a(-1)² + k
9 = a + k
k = 9 - a
"the parabola contains the point (4, 27)" means:
27 = a(4 - 2)² + k
so:
27 = a(2)² + 9 - a
27 = 4a + 9 - a
3a = 18
a = 6
and k = 9 - 6 = 3
Therefore the vertex form for this parabola is:
f(x) = 6(x - 2)² + 3
should i use dy\dx (normal differentiation) or d²y\dx² (differentiation of the differentiation)?
Use both!
You want to minimize P, so differentiate P with respect to x and set the derivative equal to 0 and solve for any critical points.
P = 8/x + 2x
dP/dx = -8/x² + 2 = 0
8/x² = 2
x² = 8/2 = 4
x = ± √4 = ± 2
You can then use the second derivative to determine the concavity of P, and its sign at a given critical point decides whether it is a minimum or a maximum.
We have
d²P/dx² = 16/x³
When x = -2, the second derivative is negative, which means there's a relative maximum here.
When x = 2, the second derivative is positive, which means there's a relative minimum here.
So, P has a relative maximum value of 8/(-2) + 2(-2) = -8 when x = -2.
Which is the value of this expression when a = 5 and k=-2?
*
32a-2
75
9
* 25
25
9
75
Answer: it’s A
Step-by-step explanation: I got it right, hope it helps ✨
The value of the expression [tex](\frac{3^{2}a^{-2} }{3a^{-1} } )^{k}[/tex] when a = 5 and k = -2 is [tex]\frac{25}{9}[/tex]
How to substitute and get the value of an expression?The expression is as follows:
[tex](\frac{3^{2}a^{-2} }{3a^{-1} } )^{k}[/tex]
using law of indices
Hence,
when a = 5, k = -2
[tex](\frac{3^{2}a^{-2} }{3a^{-1} } )^{k} = (\frac{9(5^{-2} )}{3(5^{-1} )})^{-2}[/tex]
Then,
[tex](\frac{9(5^{-2} )}{3(5^{-1} )})^{-2}=(\frac{\frac{9}{25} }{\frac{3}{5} } )^{-2}[/tex]
[tex](\frac{\frac{9}{25} }{\frac{3}{5} } )^{-2}=(\frac{9}{25} (\frac{5}{3}))^{-2}[/tex]
[tex](\frac{9}{25} (\frac{5}{3}))^{-2}=(\frac{3}{5})^{-2}[/tex]
[tex](\frac{3}{5})^{-2}=\frac{25}{9}[/tex]
Therefore, the value of the expression is 25 / 9
learn more on expression here:https://brainly.com/question/12879207
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From the information given, can you prove that the triangles congruent using SAS congruent postulate? If not, what do you need to know to make the triangle congruent using the SAS congruence postulate?
Answer:
D.
Step-by-step explanation:
to prove congruency of two triangles, you need two congruent sides and one congruent angle
in this case we are given exactly that, 2 sides and one angle that is congruent
we would also need to make sure that the given sides and angles are actually congruent, and not mismatched
we can do this by looking at the positions of the letters in each congruency statement
for example, the letters LO and MA are the first two letters in each triangle's name, this means that they are congruent and properly matched
if you do this with every statement that you are give, you can see that the triangles can be proven by SAS
which of the following is NOT a root of x (x+3)(x-1)(2x+1)= 0
i. 0
ii. -3
iii. -1
iv. 1/2
A. i only B. iv only
C. i and ii only
D. iii and iv only
Answer:
The answer is A only i. (0)
Answer:
D
Step-by-step explanation:
Given
x(x + 3)(x - 1)(2x + 1) = 0
Equate each factor to zero and solve for x
x = 0
x + 3 = 0 ⇒ x = - 3
x - 1 = 0 ⇒ x = 1
2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - [tex]\frac{1}{2}[/tex]
Thus
x = 0, x = - 3, x = 1, x = - [tex]\frac{1}{2}[/tex] are the roots
Hence
111 x = - 1 and iv x = [tex]\frac{1}{2}[/tex] are NOT roots → D
The Sony 55 inch flat screen TV was 45% off at Best Buy. If the TV originally cost $1350.00, how much
was the discount?
Answer: 742.5
Step-by-step explanation: 45% off of 1350= 742.5
Answer:
$607.50
Step-by-step explanation:
if you take 1350.00and multiply by 45% you will get $607.50
There are 2 girls for every 5 boys at baseball game. If there are 56 total in attendance. How many girls and boys are there?
Answer:
girls: 16
boys: 40
Step-by-step explanation:
girls : boys
2 : 5
let the total number of people be (2+5)x.
2x + 5x = 56
7x = 56
x = 8
therefore, no. of girls = 2 x 8 = 16
no. of boys = 5 x 8 = 40
This is a question on ratio and proportions + forming and solving equations. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
Given that polygon ABCD≅ polygon EFGH, identify the congruent corresponding part for CD¯¯¯¯¯.
Answer:
Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not have a solution.
Create a single variable linear equation that has one solution. Solve the equation algebraically to prove that there is one distinct solution for the equation.
Create a single variable linear equation that has infinitely many solutions. Solve the equation algebraically to prove that there is an infinite number of solutions for the equation
Step-by-step explanation: