The third set(8, 12, 10, 13, 7) has a mean of 10.
Answer:
number three 8,12,10,13,7 is it
Step-by-step explanation:
you need to add everything on number 1
like this:
9+9+9+9+9=45
45÷5=9 that is not the mean of ten
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Evaluate the following: x= 4.1 and y= 2.3. A. 2x+3 b. 16-5y c. X+y
A. 2(4.1)+3=11.2
B.16-5(2.3)=4.5
c.(4.1)+(2.3)=6.4
Which calculation can be used to find value of p in the equation p^3=8
Well, the opposite of an exponent is a square root. However, in this case, it is to the power of 3. So in order to find p, you must do the cube root on both sides in order to get your answer:
[tex]p^3=3[/tex]
[tex]\sqrt[3]{p^3} =\sqrt[3]{8}[/tex]
[tex]p=2[/tex]
Please help!
Match the graph with its equation.
6x + 6y = 12
6x + 2y = 12
–6x – 2y = 12
–6x + 2y = 12
Answer:
Answer 3 (-6x-2y=12)
Step-by-step explanation: Turn to slope form to check
First- Add the 6x from both sides
-2y=6x+12
Second- Divide by two on both sides
y= -3x-6
Answer:
C.[tex]-6x-2y=12[/tex]
Step-by-step explanation:
We are given that a graph.
We have to find the equation of given graph.
The line passes through the point (-2,0) and (0,-6).
Slope:m[tex]=\frac{y_2-y_1}{x_2-x_1}[/tex]
By using the formula
[tex]m=\frac{-6-0}{0+2}=-3[/tex]
Slope-intercept form:[tex]y=mx+C[/tex]
Where m=Slope of line
C=y-intercept
y-intercept: It is that value of y for which x=0
We have y- intercept=-6
Using the formula
Equation of line
[tex]y=-3x-6[/tex]
[tex]3x+y=-6[/tex]
Multiply by -2 on both sides then we get
[tex]-6x-2y=12[/tex]
find the distance between the points (4,-6) and (4,7)
the distance is for it is 0
√(4−4)2+(7−−6)2
√4−4)2+(7+6)2
√0+(13)2
√169
√169≈13
Make sure it's fully reduced.
2 - x = 5/8
Isolate the x. Note the equal sign. What you do to one side, you do to the other.
First, subtract 2 from both sides
2 (-2) - x = (5/8) - 2
-x = 5/8 - 2
Make sure they have the same denominator. Remember that what you multiply to the denominator, you multiply the numerator:
-x = 5/8 - 16/8
-x = - 11/8
Isolate the x. Divide -1 from both sides
(-x)/-1 = (-11/8)/-1
x = 11/8
11/8 is your answer for x
~Rise Above the Ordinary
If f(x) is a linear function, what is the value of n?
m = (-10 + 25)/(-1 + 4) = 15/3 = 5
so
5 = (20 + 10)/(n + 1)
5(n+1) = 30
5n + 5 = 30
5n = 25
n = 5
Answer
n = 5
Answer:
value of n is 5
Third option is correct.
Step-by-step explanation:
Let the equation of the linear function is y = mx + b
From the given table, we have two points (-4,-25) and (-1,-10)
The slope of the line containing these two points is
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{-10+25}{-1+4}\\\\m=\frac{15}{3}\\\\m=5[/tex]
Now, put m = 5, x = -4 and y = -25 in the equation y = mx+b
[tex]-25=5\cdot(-4)+b\\\\-25=-20+b\\\\b = -5[/tex]
Therefore, equation of linear function is [tex]y=5x-5[/tex]
Now, put x = n and y =20
[tex]20=5n-5\\\\5n=25\\\\n=5[/tex]
Therefore, the value of n is 5
Maria is going school supply shopping. She currently needs 6 spiral notebooks at $4.99 each. She would also like to buy some 3-ring binders. Each binder cost $6.99. She knows her purchase will cost her at least $60; however, she does not want to spend any more than $80. Right and solve an inequality to determine the number of 3-ring binders Maria can buy remain within her budget.
Maria finds a local gym that advertises 71 training sessions for $811. Find the cost of 116 training sessions
Please give the for mula used
The cost of 116 training sessions is: $1325.01
This is because you can divide 811 by 71 to get the unit rate, then multiply it by 115 to get your approximate answer listed above.
what is the area of the square
52 feet.
13 x 4 because its all the same length.
Write to explain how you can break apart 16 x 34 into four simpler multiplication problems
Think of the tens and the units separately:
16 x 34
= (10 + 6)(30 + 4)
Then we can distribute and get:
10(30 + 4) + 6(30 + 4)
And then further to get:
(10 x 30) + (10 x 4) + (6 x 30) + (6 x 4)
Each of these multiplications is easy enough to do in your head:
300 + 40 + 180 + 24
Add up the results:
300
180
16×34 can be rewritten as (10+6)×(30+4) for simpler multiplication.
The given numerical expression is 16×34.
What is multiplication?Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.
Here, 16×34 can be written as
Method 1:
(10+6)×(30+4)
Using distributive property we get
10(30+4)+6(30+4)
= 300+40+180+24
= 544
Method 2:
16×(30+4)
Method 3:
(10+6)×34
Therefore, 16×34 can be rewritten as (10+6)×(30+4) for simpler multiplication.
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Matthew’s mother asked him to go to the store for her.To get to the store,he walked seven city blocks.He caught the bus and rode 13 blocks.He got off and walked one and a half blocks to the store.He purchased the ítems his mother wanted and returned home the same way.How Many total blocks did he travel?
Matthew traveled a total of 43 blocks.
Explanation:To calculate the total blocks traveled by Matthew, we need to add up the distances he walked and the distances he rode on the bus. He walked 7 city blocks, rode 13 blocks on the bus, and then walked 1 and a half blocks to the store. To return home, he traveled the same route, so we can double the distance. Adding all these distances together, Matthew traveled a total of 7 + 13 + 1.5 + 7 + 13 + 1.5 = 43 blocks.
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A boat travels 26 miles up a river in the same amount of time it takes to travel 38 miles down the same river. If the current is 3 mph, what is the speed of the boat in till water?
Let the speed of the boat in still water = X
The current is 3 mph, so the speed of the boat going upstream would be x-3
Speed of the boat going down stream would be x +3
The trip upstream is 26 / x-3
The trip downstream is 38 / x+3
Set them to equal and solve for x:
26/x-3 = 38/x+3
Multiply both sides by (x+3)(x-3):
38(x-3) = 26(x+3)
Simplify:
38x - 114 = 26x+78
Subtract 26x from each side:
12x -114 = 78
Add 114 to each side:
12x = 192
Divide both sides by 12:
x = 192 / 12
x = 16
The speed is 16 miles per hour.
To determine the boat's speed in still water, an equation is set up that relates the upstream and downstream times, given that the current influences the boat's effective speed by 3 mph. Solving this equation yields a speed of 16 mph for the boat in still water.
Explanation:To find the speed of the boat in still water, we need to account for the effect of the current on the boat's speed when going up and down the river. Let the speed of the boat in still water be v mph.
When the boat is going upstream (against the current), its effective speed is (v - 3) mph because the current slows the boat down by 3 mph. When the boat is going downstream (with the current), its effective speed is (v + 3) mph because the current speeds the boat up by 3 mph.
Since the boat covers 26 miles upstream and 38 miles downstream in the same time, we can set the time equal for both scenarios:
Time = Distance / Speed
Time upstream = 26 / (v - 3)Time downstream = 38 / (v + 3)By equating the two times, we get:
26 / (v - 3) = 38 / (v + 3)
To solve for v, cross-multiply and simplify:
26(v + 3) = 38(v - 3)
26v + 78 = 38v - 114
12v = 192
v = 192 / 12
v = 16 mph
Therefore, the speed of the boat in still water is 16 mph.
which is the correct simplified version of the expression -7(2x-3)
A.-14x+21
B.-14x-21
C.-5x-10
D.-14x-10
A. -14x+21
because -7 times 2x is -14x and -7 times -3 is 21
Calculate the perimeter of the figure
Perimeter is distance all around the side of the figure, so you would do:
8 + 7 + 19 + 3 + y + x
Plug in y and x that you solved before: 8 + 7 + 19 + 3 + 11 + 4
Add them!: 52
The perimeter is 52 meters.
:)
If t varies as v, and t = 2 4/7 when v =13/14 , find v when t = 2 1/4
a) 2106/392
b) 13/16
c) 324/52
Answer : b) 13/16
Given : t varies as v
So t = k v where k is the constant of proportionality.
t = 2 4/7 when v =13/14. Using these values we find out k
[tex]t = 2\frac{4}{7} =\frac{18}{7}[/tex]
[tex]v =\frac{13}{14}[/tex]
t = k * v
[tex]\frac{18}{7}= k *\frac{13}{14}[/tex]
Multiply by 14/13 on both sides
[tex]\frac{18}{7} *\frac{14}{13} = k *\frac{13}{14}*\frac{14}{13}[/tex]
So [tex]k =\frac{36}{13}[/tex]
We got the value of k. Now we find v when t = 2 1/4
[tex]t = 2\frac{1}{4} =\frac{9}{4}[/tex]
t = k * v
We know the value of t and k
[tex]\frac{9}{4}= \frac{36}{13}* v[/tex]
Multiply by 13/36 on both sides
[tex]\frac{9}{4} *\frac{13}{36} =\frac{36}{13}*\frac{13}{36}* v[/tex]
So [tex] \frac{13}{16}= v[/tex]
Option B is correct
1.) 4u - 2 = -6u +28
2.) -2 (p - 1) = 15
3.) 0.3 (r + 2) = -0.1 (-2r - 4)
4.) Charis and Lisa went shopping and spent a total of $25.50. Lisa spent $13.50 more than what Chris spent. How much did Lisa spend?
a plane traveled 580 miles to chicago and back. the trip there was with the wind. it took 5 hours. the trip back was into the wind. the trip back took 10 hours. find the speed of the plane in still air and the speed of the wind.
If the speed in still air is s, and the wind speed is w,
580/(s+w) = 5
580/(s-w) = 10
s=87
w=29
Final answer:
To determine the speed of the plane in still air and the speed of the wind, we use the distances and times provided to create two equations. Solving this system reveals that the speed of the plane in still air is 87 mph and the speed of the wind is 29 mph.
Explanation:
To find the speed of the plane in still air and the speed of the wind, we can set up a system of equations based on the given information. We'll let p represent the speed of the plane in still air and w represent the speed of the wind.
When the plane travels with the wind, its effective speed is p + w, and the time taken for the trip is 5 hours, covering 580 miles. So, our first equation is:
1) (p + w) * 5 = 580
When the plane returns against the wind, its effective speed is p - w, and the time taken for this trip is 10 hours, again covering 580 miles. Thus, our second equation is:
2) (p - w) * 10 = 580
Solving this system of equations, we'll start by simplifying both:
p + w = 116 (By dividing the first equation by 5)
p - w = 58 (By dividing the second equation by 10)
Now we can add both equations to eliminate w:
2p = 174
Divide by 2 to get the speed of the plane in still air:
p = 87 mph
To find the speed of the wind, substitute the value of p in one of the equations:
87 + w = 116
So, the speed of the wind is:
w = 116 - 87
w = 29 mph
The speed of the plane in still air is 87 mph, and the speed of the wind is 29 mph.
Share £420 in the ratio 2:5
Answer:
120:300 is in the same ratio as 2:5. Can you add the pound sign? My keyboard does not have it.
Step-by-step explanation:
Add the two parts of the ratio together
2 + 5 = 7
Find 5:7
5:7 = x:420
5/7 = x/420 Cross multiply
7x = 5 * 420 Combine the right
7x = 2100 Divide by 7
x = 2100/7
x = 300
Find the second number
420 - 300 = 120
120 : 300 is the answer
Divide top and bottom by 60
120/60 = 2
300 / 60 = 5
a banana plantation is located next to a desert. George, the plantation owner must transport the bananas to market by camel across a 1000 mile stretch of desert. Gorge has only one camel. The camel carries a maximum of 1000 bananas at any one time, and it eats one banana for every mile it travels. The plantation produced 3000. What is the greatest number of bananas that can be delivered to market, and how can it be done?
Answer:
500
Step-by-step explanation:
Assume camel stays at the market after complete delivery.
Idea is to drop off some bananas between the plantation and the market. Refrigeration is required to avoid bananas going bad!
Status (planatation, 250 mile point, 500 mile point, market)
First trip with 1000 bananas, stop at 250 miles, drop off 500 bananas, and come back to plantation. (status: 2000, 500, 0, 0) camel ate 500 bananas.
Second trip with 1000 bananas, stop at 250 miles, pick up 250 (to make 1000), drop off 250 at 500 mile point, come back to plantation. (Status: 1000, 250,250,0) Camel ate 1500 bananas.
Last trip with 1000 bananas, stop at 250 miles, fill-up 250 (total 1000), stop at 500 miles, fill-up to make total 1000. Travel all the way to market with 500 left.
(Status: 0,0,0,500) Camel ate 500+1000+1000.
Net delivery: 500 bananas to market.
Using the camel to transport bananas across the desert, George loses all bananas to the camel's consumption before reaching the market, resulting in 0 bananas delivered.
Explanation:The question asks how many bananas can George, the plantation owner, transport to the market across a 1000 mile stretch of desert using a camel that can carry 1000 bananas and eats one per mile. George has 3000 bananas to start with.
To maximize the number of bananas delivered, George must use a strategy that conserves bananas while accounting for the camel's consumption. For the first trip, George loads the camel with 1000 bananas, travels 333 miles (eating one banana per mile), deposits 667 bananas, and returns with 0. He repeats this until all bananas are 333 miles into the desert. This requires three round trips for the first third of the journey, resulting in the loss of 2000 bananas and leaving 1000 bananas 333 miles into the desert.
Next, he takes 1000 bananas, goes another 500 miles (leaving 500 bananas), and returns for the last batch of 500. This leaves him with 500 bananas 500 miles into the desert. Finally, he carries the last 500 bananas the remaining distance of 500 miles to the market, arriving with 0 bananas. Therefore, the greatest number of bananas George can deliver to the market is 0. This proves that it is impossible to deliver any bananas to the market under the given conditions.
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Mario and Luigi are brothers.marios age is three times the difference between Luigis age and the number 9.if Mario is 18 years old,how old is Luigi.show your work.
To solve this, write an equation to model the situation and solve the equation.
The equation can be: [tex]3(x-9)=27[/tex]
Then solve the equation.
[tex]3x-27=18[/tex]
[tex]3x=45[/tex]
[tex]x=15[/tex]
Luigi is 15 years old.
we determine that Luigi is 15 years old.
The question involves solving for Luigi's age based on the given relationship between Mario and Luigi's ages. We are told that Mario's age is three times the difference between Luigi's age and the number 9, and that Mario is currently 18 years old. We need to create an equation and solve for Luigi's age.
Let's let L represent Luigi's age. The problem statement tells us:
Mario's age = 3 * (L - 9)
Given that Mario's age is 18, we substitute this value into the equation:
18 = 3 * (L - 9)
To find L, we start by dividing both sides of the equation by 3:
6 = L - 9
Then, we add 9 to both sides to solve for L:
15 = L
Therefore, Luigi is 15 years old.
The sum of 3 consecutive odd numbers is 69
69 divided by 3 is 23
so it would be 21, 23, 25
If the area of a square is 29 square inches , estimate the length of each side of the square to the nearest whole number
The length of each side of a square with an area of 29 square inches, estimated to the nearest whole number, is approximately 5 inches.
Explanation:The area of a square is calculated by squaring the length of one side. So, if the area of a square is 29 square inches, you need to find the square root of 29 to determine the length of each side. The square root of 29 is approximately 5.385. However, you're asked to estimate to the nearest whole number, so the answer would be 5 inches as the closest whole number.
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The ratio of the prices of Emma's phone to Sophie's phone is 7:8. If Sophie's phone costs $640, how much should the prices of their phones decrease in order to have a ratio of 9:11 ?
Let cost of Emma's phone = x
Given that cost of Sophie's phone = 640
Then ratio of their phones cost will be x:640 or x/640
Given that ratio of their phones cost is 7:8 or 7/8
So both ratios will be equal.
[tex]\frac{x}{640}=\frac{7}{8}[/tex]
[tex]x=\frac{7}{8}*640[/tex]
x=560
So the new ratio of the cost of their phones will be 560:640
Now we have to find about how much should the prices of their phones decrease in order to have a ratio of 9:11.
So let that decreased amount is k then we will get equation :
[tex]\frac{560-k}{640-k}=\frac{9}{11}[/tex]
11(560-k)=9(640-k)
6160-11k=5760-9k
6160-5760=11k-9k
400=2k
200=k
Hence final answer is prices of their phones should decrease by 200 in order to have a ratio of 9:11.
The sum of two integers is - 5. The product of the same two integers is - 36. What are the two integers?
Hey there!!
Given :
Sum of two integers = -5 and the product is -36.
Hence,
... x + y = -5
... xy = -36
x + y = -5
... y = -x - 5
xy = -36
...x ( -x - 5 ) = -36
... -x² - 5x = -36
... x² + 5x - 36 = 0
This can't be factored so solve using quadratic equation
x = [-b ±√(b2-4ac)]/2a a=1, b=5, c = -36
x = [-5±√(52-4(-36))]/2
x = [-5 ±√169]/2
x = (-5 ± 13)/2
x = (-5+13)/2= 8/2 = 4 OR
x = (-5-13)/2 = -18/2 = -9
x = 4, -9
Note here that since x+y=-5
For x=4, y=-9
for x = -9, y = 4
The two numbers are 4, -9
Hope my answer helps!!
The two integers are 4 and -9.
Explanation:To find the two integers, let's assume that one integer is x and the other integer is y. Since the sum of the two integers is -5, we can write the equation x + y = -5. Similarly, the product of the two integers is -36, so we can write the equation xy = -36.
Now, we can solve these equations simultaneously to find the values of x and y.
From the first equation, we can express x in terms of y as x = -5 - y. Substituting this value into the second equation, we get (-5 - y)y = -36.
Simplifying this equation gives us y^2 + 5y - 36 = 0. Factoring or using the quadratic formula, we find that y = -9 and y = 4.
Substituting these values back into the equation x = -5 - y, we find that x = 4 and x = -9.
Therefore, the two integers are 4 and -9.
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25. Find three consecutive integers such that twice the smaller is 12 more than the largest.
The smallest would be 14 and then 15 and then 16.
Use the equation 2n=12+n+2. solve for n. Since it's consecutive, the equation would be n+n+1+n+2
James is earning money to buy a $100 bicycle. For each dollar James earns, his mother has agreed to give him $1. So far, he has earned $14 mowing the lawns and $7 washing cars. How much more money must James earn in order to buy the bicycle?
he has to earn $78 more.
Answer:
he has to try to earn $78 to get his bicycle that he wants
Question: Explain why the researchers used data from ten trails and averaged them, rather than data from a single trail. PLEASE ANSWER THIS !!!!
Answer : Because in all experiments there are several factors that can affect the result. Repeating the experiment several times can vary the factors and compensate the measurement errors. Therefore, the average of the results is calculated to find the result that is closest to the set of all the results, being more reliable than a single result of an individual experiment.
Hope this helps!
[tex]\textit{\textbf{Spymore}}[/tex]
every month ben spends $350 on groceries, $150 on gas, and $250 on clothes. write abd evaluate ab expression to predict how much money he will spend on these items over the next 12 months
The Sugar Sweet Company is going to transport its sugar to market. It will cost $6300 to rent trucks, and it will cost an additional $225 for each ton of sugar transported.
Let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S, and then graph your equation using the axes below.
C=225S+6300
This is because the total cost would be equal to all of the stuff combined. Since it takes 225 to transport 1 ton of sugar, it would be multiplied with s
Half of a number n is at most 5 units from 14
(Write the absolute value inequality)
Answer: 18≤n≤38 is absolute value inequality for the problem.
Step-by-step explanation:
Given situation:- Half of a number n is at most 5 units from 14
that means the difference between 14 and half times n is less than 5
[tex]\Rightarrow |14-\frac{1}{2} \times n|\leq 5\\\Rightarrow|2( 14-\frac{1}{2} \times n)|\leq2(5)\\\Rightarrow|2(14)-2(\frac{1}{2} \times n)|\leq2(5)\ \text{(Multiplying 5 on the both sides)}\\\Rightarrow|\ 28-n|\leq10\\\Rightarrow\ 28-n\leq10\ or\ -(28-n)\leq10\\\Rightarrow\ n=28-10=18\ or\ n=28+10=38\\(i.e.)\ 18\leq\ n\leq \ 38[/tex]
⇒18≤n≤38 is absolute value inequality for the problem.