On Monday, 350 students went on a trip to the zoo. All 9 buses were filled and 8 students had to travel in cars. Which equation can be used to determine, x, how many students were in each bus ?
Answer:
(350-8)/9
Step-by-step explanation:
If 8 students had to get on to a car then there would be the remainder of students on the buses. 342 students on 9 buses! Just Divide.
what is 91,007,500 in scientific notation?
Answer:
Step-by-step explanation:
the scientific notation of 91,007,500
9.10075 x 10^7
BC = 4x + 2 AB = 8x + 8 and AC = 22 Find BC
Answer:
BC = 6.8
Step-by-step explanation:
The distance from A to B, then from B to C, is the same distance as from A to C.
Thus,
AB + BC = AC
AB = 8x + 8
BC = 4x + 2
AC = 22
AB + BC = AC
(8x + 8) + (4x + 2) = 22
Expanding the parenthesis:
8x + 8 + 4x + 2 = 22
8x + 4x + 8 + 2 = 22
12x + 12 = 22
Subtracting 12 from both sides:
12x = 10
Dividing both sides by 12:
x = 10/12 = 1.2
x = 1.2
We're looking for BC. As we know,
BC = 4x + 2
Let's now put in x = 1.2 into this equation:
BC = 4x + 2
BC = 4 * 1.2 + 2
Since 4 * 1.2 is 4.8:
BC = 4.8 + 2
BC = 6.8
Answer: BC = 6.8
Larry has a gift card worth $400 for a local entertainment store. Movies cost $20 each and newly released video games cost $50 each. In order
to use the gift card, Larry must purchase at least nine items. Which is a combination of movies and newly released video games that Larry could
purchase using his gift card?
10 movies and 5 video games
6 movies and 2 video games
4 movie and 8 video games
7 movies and 5 video games
If a = 5 and b = -3, what is the value of 2b/b^2-a
Answer:
-4.33333
Step-by-step explanation:
I searched it up on google but here you go
Solve the equation 5x+3÷4=7. Explain and justify each step in your solution process.
Serena estimates that she can paint 60 square feet of wall space every half-hour. Write an equation for the relationship with time in hours as the independent variable x and the square footage she can paint as the dependent variable y. Can she paint 400 square feet in 3.5 hrs
Answer:
So, the relationship with i hours as the indecent variables would be
Serena can't paint 400 square feet of wall space of wall space in 3.5 hours.
Step-by-step explanation:
Since we have given that
Area that she can paint = 60 square feet
Time taken = half hour = 30 minutes = 0.5 hours
Using "Unitary method, we get that
In 0.5 hours, she can paint = 60 square feet
In 1 hour, she can paint =
In i hours, she can paint =
Let the total area she can paint be 'y'.
So, the relationship with i hours as the indecent variables would be
Now, Can Serena paint 400 square feet of wall space i. 3.5 hours
We put y = 400 and i = 3.5 hours to check whether it is equal or not.
Hence, Serena can't paint 400 square feet of wall space of wall space in 3.5 hours.
Answer:
0.5
Step-by-step explanation:
Makayla was given a box of assorted chocolates for her birthday. Each night, Makayla treated herself to some chocolates. There were originally 12 chocolates in the box and after 2 nights, there were 8 chocolates remaining in the box. Write an equation for C,C, in terms of t,t, representing the number of chocolates remaining in the box tt days after Makayla's birthday.
Answer: c = 12 - 2t
Step-by-step explanation:
Find the parabola through
(
−
7
,
−
39
)
(
-
7
,
-
39
)
with vertex
(
−
4
,
−
12
)
Answer:
y = - 3x² - 24x - 60
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 4, - 12 ), thus
y = a(x + 4)² - 12
To calculate a substitute (- 7, - 39) into the equation
- 39 = a(- 7 + 4)² - 12 ( add 12 to both sides )
- 27 = 9a ( divide both sides by 9 )
- 3 = a
y = - 3(x + 4)² - 12 ← in vertex form
Expand (x + 4)²
y = - 3(x² + 8x + 16) - 12
= - 3x² - 24x - 48 - 12
y = - 3x² - 24x - 60 ← in standard form
= - 3(x²
how does a dilation change a figure
f(x) = 3(x-4)2-2
Pls help me solve
Answer:
x = 13/3
Step-by-step explanation:
Solve for x:
3×2 (x - 4) - 2 = 0
Hint: | Multiply 3 and 2 together.
3×2 = 6:
6 (x - 4) - 2 = 0
Hint: | Distribute 6 over x - 4.
6 (x - 4) = 6 x - 24:
6 x - 24 - 2 = 0
Hint: | Group like terms in 6 x - 24 - 2.
Grouping like terms, 6 x - 24 - 2 = 6 x + (-24 - 2):
6 x + (-24 - 2) = 0
Hint: | Evaluate -24 - 2.
-24 - 2 = -26:
6 x + -26 = 0
Hint: | Isolate terms with x to the left hand side.
Add 26 to both sides:
6 x + (26 - 26) = 26
Hint: | Look for the difference of two identical terms.
26 - 26 = 0:
6 x = 26
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 6 x = 26 by 6:
(6 x)/6 = 26/6
Hint: | Any nonzero number divided by itself is one.
6/6 = 1:
x = 26/6
Hint: | Reduce 26/6 to lowest terms. Start by finding the GCD of 26 and 6.
The gcd of 26 and 6 is 2, so 26/6 = (2×13)/(2×3) = 2/2×13/3 = 13/3:
Answer:x = 13/3
Solve:
3(x - 2) = 18
Answer:
Standard form:
3x − 24 = 0
Factorization:
3(x − 8) = 0
Solutions:
x = 24
3
= 8
Step-by-step explanation:
Hope this helps? :))
[tex]\large\tt Step-by-step~explanation:[/tex]
To solve for x, we have to isolate the variable.
[tex]\tt Step~1:[/tex]
First, we distribute 3 to (x - 2) because when there are parentheses with terms inside it next to another term, then we have to multiply them together.
[tex]\tt 3*x=3x\\3*-2=-6\\3x-6=18[/tex]
[tex]\tt Step~2:[/tex]
Next, we add six on the left side of the equation to cancel out - 6. We also add 6 to the right, because we have to do whatever we do on both sides of the equation.
[tex]\tt 3x-6(+6)=18(+6)\\3x=24[/tex]
[tex]\tt Step~3:[/tex]
Finally, we divide both sides by 3 to isolate x and get our answer.
[tex]\tt \frac{3x}{3}=x\\\frac{24}{3}=8\\x=8[/tex]
[tex]\large\boxed{\tt Our~final~answer: ~x=8}[/tex]
Willie makes $0.12 off of every shirt he sells. He sold 179 shirts this week, how much did he make in total?
Answer:
$21.48
Step-by-step explanation:
0.12*179=21.48
Blake is working to find the slope given 2 points.
(-1,5) and (3, 13)
ent
She used this formula:
If you're given two points
(x1, Y.) and (x2,Y2)
Y2-Y.
m =
X2-X,
Replacing the values, she gets:
13-5
3-(-1),
What is the slope?
Answer:
-1/2
Step-by-step explanation:
The slope is
If it takes a company 4 hours to build 1,300 cell phones, at the same rate it will
take the company n hours to build 39,000 cell phones.
Solve and graph the following compound inequality. (SHOW YOUR WORK) 3x + 4 ≤ −x − 5 ≤ 12
[tex]\frac{9}{4}[/tex]Answer:
[-17, -[tex]\frac{9}{4}[/tex]
graph would be closed circle, shaded to the left and the point placed a little over -2 bc -9/4 THEN another closed circle on -17 shaded to the right so they meet in the middle
Step-by-step explanation:
-x-5 greater than or equal to 3x+4
-x-5 ≤ 12
x ≤ -9/4
-z-5 ≤ 12 ===== x > -17 (make sure to put a line under the >)
Daniela sells handmade purses for $22. She
makes $15 after expenses for each purse she
sells. She has $71 in the bank. How many
purses will she need to sell in order to have a
total of $161 in the bank?
Answer:
6 purses
Step-by-step explanation
1. Subtract 71 from 161 as that's how much Daniela needs to make to have 161, which is 90
2. Divide 15 by 90 as 15 is the profit, so the answer would be the amount of purses she needs to sell, then you get 6
Check
6 times 15, 90
71 + 90 = 161
500g:3kg.Give answer in lowest term
Answer:
Step-by-step explanation:
First, you have to convert the units, since kilograms and grams aren't the same unit. 1000 grams=1 kilogram. Keep that in mind, and lets move on.
So, that means 3 kilograms=3,000 grams. Let's rewrite our ratio.
500g:3,000g
So now they're the same units, but it isn't simplified. This last parts easy. To simplify a ratio, find the number you can divided both number with. In this situation, that number is 500. 500 divided by 500= 1, and 3,000 divided by 500= 6.
Final Simplified Ratio: 1g:6g
Hope this helped :)
What is the midpoint of points (3.9) and (1.-7)?
Answer:
Answer is (2,1)
Step-by-step explanation:
The Midpoint formula is simply (x2+x1)/2, (y2+y1/2)
Just gotta plug in the points!
Hope this helps!
Can someone plz help with both of these
Answer:
Domain: (-5<x<-2) (1<x≤3]
Range: (-3<x<4) [-1≤x<2)
Step-by-step explanation:
(Explained another post by same asker)
(also this isnt interval notation, you would remove the <,≤, and x from it and keep the parenthesis and brackets were I put there were)
In which Quadrant is the point (4, -2) located?
Quadrant 3
Quadrant 1
Quadrant 4
0 Quadrant 2
Answer:
Quadrant 4
Step-by-step explanation:
We go to the x-axis first and put a point on number 4, second we move that point along the y-axis till number -2
which is located in the 4th quadrant
Answer: Quadrant 4
Step-by-step explanation: Since the rule for Quadrant 4 is (+, -) it will be located there because 4 is a positive number and -2 is a negative number.
Ming made a triangular picture frame out of cardboard. The sides of the frame are 6.75 in., 6.75 in., and 8.375 in. Ming uses the addition below to determine the amount of string she needs to decorate the edges of the frame.
675 + 675 + 8.375 = 9.725. The 675 values are lined up with the 375 portion of 8.375.
Which explains Ming’s error?
Answer:
She should have included the decimal in 6.75 and aligned the decimal points to add 6.750 + 6.750 + 8.375 = 21.875.
Step-by-step explanation:
6.750
6.750
+ 8.375
21.875
I hope this helps
Answer:
The answer is A
Step-by-step explanation:
I took the test
The temperature at 2:00 pm is 27 degrees at 2 :00 the temperature has fallen to -4 degrees what is the difference in temperature from 2:00 pm to 2:00 am ?
Answer:
31 degrees
Step-by-step explanation:
Difference in temperature from 2:00 pm to 2:00 am = 27 - (-4) = 27 + 4 = 31 degrees
Simplify the expression 4+ (-2)
0-12
O 12
0-2
Please help ASAP
Answer:
4 + (-2) = 2
Step-by-step explanation:
[tex]4+(-2)=\\\\4-2=\\\\2[/tex]
None of the given options are correct.
Hope this helps.
An article was sold for Rs 30
at a loss of 24%, what would
have been sale price, had it
been sold at 17% loss.
Answer:
Rs. 32.77
Step-by-step explanation:
At a loss of 24% sale price = Rs. 30At a loss of 17% sale price = ?----------
Finding cost price:
Sale price = cost - lossIf cost = x:
x - 24% = 300.76x = 30x = 30/0.76x ≈ 39.48SP at a loss of 17%:
39.48 - 17% = 39.48*0.83 ≈ 32.77Which equation represents the data: m = -3, b = 5
which is longer 5 miles or 5 kilometers?
Answer:
im pretty sure its kilometers
In the equation y=mx +b what si b
Answer:
B is the y-intercept. Where you start your slope.
Step-by-step explanation:
K ( -3, 7 ), and L ( 8, 7 what is the slope?
Neena is listening to a song. It has a consistent beat. She counts 11 beats in
1 seconds. What is the constant of proportionality for the relationship of beats
to minutes? Show your work.
Answer:
11beats / 1 second = 660 beats /1 minute