5 belong to whole number. b I don't know
A rope is 9 1/2 meters long. How many pieces can be cut from the rope if
each piece is to be 1/4 meter?
Use an algebraic approach to solve the problem.
Aura took three biology exams and has an average score of 87. Her second exam score was 11 points better than her first, and her third exam score was 5 points better than her second exam. What were her three exam scores?
Answer:
Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.
Step-by-step explanation:
Use the formula for the mean: sum of elements / number of elements
Let x represent her first exam score.
Her second exam score can be represented by x + 11, since it was 11 points better than her first.
Her third exam score can be represented by (x + 11) + 5, since it was 5 points better than her second.
Plug in all of these expressions into the mean formula. Plug in 87 as the mean, and plug in 3 as the number of elements (since there are 3 scores):
mean = sum of elements / number of elements
87 = ( (x) + (x + 11) + (x + 11) + 5 ) / 3
Add like terms and solve for x:
87 = (3x + 27) / 3
261 = 3x + 27
234 = 3x
78 = x
So, her first score was a 78.
Find her second score by adding 11 to this:
78 + 11 = 89
Find her third score by adding 5 to the second score:
89 + 5 = 94
Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.
There are 2 vending
machines in an office
building.
The drink machine is
restocked by Derek every
24 days.
The snack machine is
restocked by Emily every
16 days.
If Derek and Emily met
today, in how many days
will they meet again?
Answer:
32 days
Step-by-step explanation:
Derek
24 then 48 then 72
Emily
16 then 32 then 48
16 + 16 =32
Answer:
48 days
Step-by-step explanation:
answer is in photo above
find the lowest common multiple of 24 and 16
Which of the equations below represents a line perpendicular to the x-axis?
A. X=3
B. X=3y
C. X=y
D. X=-3y
Answer: A. x = 3
This is a vertical line that goes through 3 on the x axis. Two points on this line are (3,0) and (3,1). Any vertical line is perpendicular to the x axis.
Go step by step to reduce the radical.
V216
Answer:
[tex]6\sqrt{6}[/tex]
Step-by-step explanation:
[tex]\sqrt{216}[/tex]
factorise 216
[tex]\sqrt{2*2*2*3*3*3}[/tex]
since it is square root (meaning it has index to) pair up the number
[tex]2*3\sqrt{2*3[/tex]
[tex]6\sqrt{6}[/tex]
which ratio is equivalent to the ratio 2:52
Answer:
1:26
Step-by-step explanation:
You can divide both sides by 2.
The picture is above I’ll mark as brainliest.
Answer:
A. 42 [tex]u^{2}[/tex]
Step-by-step explanation:
The area of the figure is length × width. The length of the figure is 7 units, and the width is 6 units.
Finding the area:
length × width
= 7 × 6
= 42 [tex]u^{2}[/tex]
2(x-7)<-12
Help!! I need this for my math
Answer:
x < 1
Step-by-step explanation:
2(x-7)<-12
Divide by 2
2(x-7)/2<-12/2
x-7 < -6
Add 7 to each side
x-7+7 < -6+7
x < 1
round to the nearest ten i dont get it
Answer:
130
Step-by-step explanation:
instead of 132 round to the nearest 10 so its 130
Answer:
130
Step-by-step explanation:
Find the surface area of a cylinder that has the following information:
Height = 30 cm
Diameter = 10 cm
Answer:
[tex]A=1099.56cm^{2}[/tex]
Step-by-step explanation:
Formula to ind surface area of cylinder:
[tex]A=2\pi \frac{d}{2} h+2\pi (\frac{d}{2} )^{2}[/tex]
[tex]A=2\pi \frac{10}{2} (30)+2\pi (\frac{10}{2} )^{2}[/tex]
[tex]A=1099.557443cm^{2}[/tex]
Therefore, area will be:
[tex]A=1099.56cm^{2}[/tex]
hope this helps :)
The Chang family is on their way home from a cross-country road trip. During the trip, the function D(t)=3260−55t can be used to model their distance, in miles, from home after t hours of driving. find D(12) and interpret the meaning in the context of the problem.
Answer:
D(12) = 2,600 miles
It means a distance of 2,600 miles is already traveled from home after 12 hours
Step-by-step explanation:
To find D(12); all we have to do is to substitute the value of 12 for D
We have this as;
D(12) = 3260-55(12)
D(12) = 2,600
In the context of this problem, what this mean is that the distance away from home is 2,600 miles after traveling 12 hours
Factor the expression. b2 + 7b − 18
A landscaper is selecting two trees to plant. He has five to choose from. Three of the five are deciduous and two are evergreen.
What is the probability that he chooses trees of two different types? Express your answer as a percent.
30%
40%
50%
60%
Answer:
The probability that he chooses trees of two different types is 30%.
Step-by-step explanation:
Given that a landscaper is selecting two trees to plant, and he has five to choose from, of which three of the five are deciduous and two are evergreen, to determine what is the probability that he chooses trees of two different types must be performed the following calculation:
3/5 x 2/4 = 0.3
2/5 x 3/4 = 0.3
Therefore, the probability that he chooses trees of two different types is 30%.
Answer:
Actually the right answer is 60%! Not 30 %! (つД｀)･ﾟ･
Step-by-step explanation:
Help pleaseeeeeeeeeeeeeeeeeeeeee
Answer:
-8 X 3 = -24 + 9 = -15 or you could do -24+9=-15
Step-by-step explanation:
m to the power of 5 ×m to the power of 6 × n to the power of 11 over m to the power of 3 × n to the power of 5 × n
Step-by-step explanation:
[tex] \frac{( {m}^{5} \times {m}^{6} \times {n}^{11})}{ {m}^{3} \times {n}^{5} \times n} \\ = \frac{ {m}^{11} \times {n}^{11} }{ {m}^{3} \times {n}^{6} } \\ = {m}^{8} \times {n}^{5} \\ = {m}^{8} {n}^{5} [/tex]
Answer:
[tex]\frac{m^5 \times m^6 \times n^{11}}{m^3 \times n^5 \times n^1}[/tex]
Step-by-step explanation:
m to the power of 5 = m⁵
m to the power of 6 = m ⁶
n to the power of 3 = n³
n to the power of 11 = n¹¹
[tex]m^5 \times m^6 \times n^{11}[/tex] over [tex]m^3 \times n^5 \times n^1[/tex] = [tex]\frac{m^5 \times m^6 \times n^{11}}{m^3 \times n^5 \times n^1}[/tex]
Simplified form:
[tex]m^{(5+6-3)} \times n^{(11 - 5- 1)} = m^8 \times n^{6}[/tex]
Which input value produces the same output value for the two functions on the graph?
x = −1
x = 0
x = 3
x = 4
Find the slope that passes through 9,7 and 2,4
Answer:
slope is 3/7
Step-by-step explanation:
use the formula y2 - y1 / x2 - x1
Can someone help me? It's urgent and thank you!
Please help please explain it step by step please
Answer:
1. 10 root 3
2.
A=30
B = 60
Step-by-step explanation:
In picture
The Chang family is on their way home from a cross-country road trip. During the trip, the function D (t) = 3260 - 55t can be used to model
their distance, in miles, from home after t hours of driving.
part a:find D(12) and interpret the meaning in the context of the problem. part b: if D(t) =2490, find the value of t and interpret its meaning in the context of the problem
Answer:
See below.
Step-by-step explanation:
D(t) = 3260 - 55t
The function that shows their distance from home as a function of time shows that they started 3260 miles from home and are driving at 55 miles per hour.
part a:
D(12) = 3260 55(12)
D(12) = 3260 - 660
D(12) = 2600
Interpretation: After 12 hours of driving home, they are 2600 miles from home.
part b:
D(t) = 2490
3260 - 55t = 2490
-55t = -770
t = 14
Interpretation: When they are 2490 miles from home, they have driven for 14 hours.
How many solutions does the system of equations have? Pls help :(
Given the system of equations below:
[tex] \large{ \begin{cases} y = 2x + 1 \\ - 4x + 2y = 2 \end{cases}}[/tex]
The first equation is y-isolated so we can substitute in the second equation.
[tex] \large{ - 4x + 2(2x + 1) = 2}[/tex]
Use the distribution property to expand in and simplify.
[tex] \large{ - 4x + 4x + 2 = 2} \\ \large{0 + 2 = 2 \longrightarrow 2 = 2}[/tex]
The another method is to divide the second equation by 2.
[tex] \large{ \frac{ - 4x}{2} + \frac{2y}{2} = \frac{2}{2} } \\ \large{ - 2x + y = 1}[/tex]
Arrange in the form of y = mx+b.
[tex] \large{y = 1 + 2x \longrightarrow y = 2x + 1}[/tex]
When we finally arrange, compare the equation to the first equation. Both equations are the same which mean that both graphs are also same and intersect each others infinitely.
For more information, when the both sides are equal for equation - the answer would be infinitely many. If both sides aren't equal (0 = 4 for example) - the answer would be none. If the equation can be solved for a variable then it'd be one solution.
Answer
Infinitely ManyHope this helps. Let me know if you have any doubts!
The difference between 32.6 and a number is 10.2. Which equation can be used to solve this problem?
32.6 minus y = 10.2
y minus 36.2 = 10.2
10.2 minus y = 32.6
y + 32.6 = 10.2
Answer:
The answer is 10.2-y=32.6 D. y+32.6=10.2
Step-by-step explanation:
Given : The difference between 32.6 and a number is 10.2
Let the number be : y
⇒ 32.6 - y = 10.2
⇒ 32.6 minus y = 10.2
(5x-23)
(7x-1)*
Help me please
Answer:
(5x-23)° + (7x-1)° = 180°
5x-23 + 7x-1 = 180
12x - 24 = 180
12x = 204
x = 17
.°. (5x-23)° = 62°
& (7x-1)° = 118°
Which is a better estimate for the length of an almond?
a. 3 meters b. 3 centimeters
Answer:
3 centimeters
Step-by-step explanation:
nope
Answer:
[tex]B[/tex]
Step-by-step explanation:
Eugene has to buy cupcakes for a picnic. He needs to make sure that there are more than 8 cupcakes so each of his friends gets at least one cupcake. If Eugene buys y boxes that each contain 4 cupcakes, which inequality represents this situation?
A.
y < 8
B.
y > 8
C.
4y > 8
D.
4y < 8
Answer:
C
Step-by-step explanation:
4xy=4y
since each friend must get at least a cupcake, 4y must be larger than 8
35 points. Brainliest gets double the points.
Please Help!!!!!!!!!
Answer:
The answer is D. 3
A rectangle measures 8/3 inches by 9/4 inches. What is its area?
Answer:
To find the area, you have to multiply the length times the width
Step-by-step explanation:
Answer:
The area of this rectangle is 6 square units.
Step-by-step explanation:
Multiply the width (8/3 inches) by the height (9/4 inches) to get the rectangle area:
8 9
----- * -----
3 4
8 * 9
This results in ---------- which itself reduces to 6.
4 * 3
The area of this rectangle is 6.
Jeremy is conducting a survey about his coworkers’ in-office water consumption to encourage management to install more water dispensers at their location. He found that the population mean is 112.5 ounces with a standard deviation of 37.5. Jeremy has a sample size of 96. Complete the equation that Jeremy can use to find the interval in which he can be 99.7% sure that the sample mean will lie. 37.5 112.5 75 96 150 9.8
Using the z-distribution, as we have the standard deviation for the population, it is found that the 99.7% confidence interval is given by:
[tex]112.5 \pm 3\frac{37.5}{\sqrt{96}}[/tex]
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.99.7% confidence level, hence[tex]\alpha = 0.997[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.997}{2} = 0.9985[/tex], so [tex]z = 3[/tex].
The other parameters are:
[tex]\mu = 112.5, \sigma = 37.5, n = 96[/tex]
Hence, the interval is:
[tex]112.5 \pm 3\frac{37.5}{\sqrt{96}}[/tex]
To learn more about the z-distribution, you can check https://brainly.com/question/25890103
Using the box method solve (x-4)(5x+3
Answer:
= X(5x+3)-4(5x+3)
= 5x²+ 3x- 20x-12
= 5x²-17x-12
Answer:
5x(squared)-17x-20
Step-by-step explanation:
