Answer:
Im not sure if this is correct
x=7
y=8/3
z=16/3
Step-by-step explanation:
The three equations are
x+y+z=15
x+3y=15
y+z=8
you can use substitution for the first and third equation so it would be
x+8=15
x=7
then use sub for the second equation
7+3y=15
3y=8
y=8/3
and you can finish by using sub for the third equation
8/3+z=8
3z=16
z=16/3
I hope this is correct
An astronaut is returning to Earth in a spacecraft. If the spacecraft is descending at a rate of 13.81 kilometers per minute, what will its change in height after 5 1/2 minutes?
Answer: -75.955
Step-by-step explanation:
the astronaut is descending 13.81km each minute, so multiply that by 5 and a half minutes you get 75.955. Since he is going down, his height will change by a negative 75.955 instead of a positive one.
what is 6 1/2 divided by 3/4
Answer:
4 = 0.541666667
Step-by-step explanation:
Answer:
Step-by-step explanation:
Use Keep Change Flip method
[tex]6\frac{1}{2}=\frac{6*2+1}{2}=\frac{13}{2}[/tex]
[tex]6\frac{1}{2}[/tex] ÷ [tex]\frac{3}{4}[/tex] = [tex]\frac{13}{2}[/tex] ÷ [tex]\frac{3}{4}[/tex]
[tex]=\frac{13}{2}*\frac{4}{3}\\\\=\frac{13}{1}*\frac{2}{3}\\\\=\frac{26}{3}\\\\=8\frac{2}{3}[/tex]
Given B is the midpoint of line segment AC. AB=4x and AC=24 Find x
Answer:
x=3
Step-by-step explanation:
Kelly's Shopping Spree
Kelly received two gift cards to her favorite store. One card
was worth $25 and the
other was
worth $40. She went
shopping and use the cards to buy 3 shirts for $9 each
and 2 skirts for $17 each.
• How much gift card money did she have left?
The plans for constructing a raised vegetable garden use corrugated
metal in a wooden frame. The finished garden is 4 feet long, 30 inches wide, and
32 inches tall.
The metal is only used on the lateral faces, so how many square feet of metal
should be purchased? Round to the nearest square foot
Answer:
35 square feet of metal should be purchased
Step-by-step explanation:
The rule of the lateral area is L.A = perimeter of the base × height1 foot = 12 inchesLet us use the fact above to solve the question
∵ The garden is 4 feet long
∵ Its wide is 30 inches
→ Change it to feet by divide it by 12
∴ Its wide = 30 ÷ 12
∴ Its wide = 2.5 feet
∵ It is 32 inches tall
→ Change it to feet by divide it by 12
∴ Its tall = 32 ÷ 12
∴ Its tall = 8/3 feet
∵ The perimeter of the rectangle = 2(length + width)
∵ Length = 4 feet and wedth = 2.5 feet
∴ The perimeter of the base = 2(4 + 2.5)
∴ The perimeter of the base = 13 feet
→ Substitute it in the rule above
∴ L.A = 13 × h
∵ The height = 8/3 feet
∴ L.A = 13 × 8/3
∴ L.A = 34.666667 feet²
→ Round it to the nearest square foot
∴ L.A = 35 feet²
∴ 35 square feet of metal should be purchased
What is the value of x?
75
28°
67°
F
Answer:
114 degrees
Step-by-step explanation:
The defect rate for your product has historically been about 1.00%. For a sample size of 400, the upper and lower 3-sigma control chart limits are: UCLp =
Answer: Lower limit = -0.05 and Upper limit = 0.025
Step-by-step explanation:
3-sigma , p chart control limits:
Lower limit = [tex]p-3\sqrt{\dfrac{p(1-p)}{n}}[/tex]
Upper limit = [tex]p+3\sqrt{\dfrac{p(1-p)}{n}}[/tex] , where n= sample size .
Given: p= 0.01 , n= 400
Lower limit = [tex]0.01-3\sqrt{\dfrac{0.01(1-0.01)}{400}}[/tex]
[tex]=0.01-3\sqrt{0.00002475}\\\\= 0.01-3(0.005)=-0.05[/tex]
Upper limit= [tex]0.01+3\sqrt{\dfrac{0.01(1-0.01)}{400}}[/tex]
[tex]=0.01+3\sqrt{0.00002475}\\\\= 0.01+3(0.005)=0.025[/tex]
hence, Lower limit = -0.05 and Upper limit = 0.025
What is the value of x ??
Answer:
56
Step-by-step explanation:
The angle on the top right is 90 degrees and the angle downwards is 34 degrees so subtract 90 and 34 to get 56.
4. Which of the following equations would 6.61 make true? 3.59 +__ = 10.2
___ - 2.19 = 4.58. ___ 12.56 +___ = 18.17 7.19 - = 0.58
Answer:
3.59+6.61=10.2
Step-by-step explanation:
3.59+6.61=10.2
6.77-2.19=4.58
12.56+5.61=18.17
7.19-7.77 =0.58
Brainliest please?!?!
brainliest will be awarded
How many barrels of Gasoline than diesel were produced last year?
Answer:
How many more barrels of gasoline then diesel was produced last year gasoline 34% diesel 29% total crude oil -60 million barrels Total.
Step-by-step explanation:
Mike owes his friend $4. Each day, Mike earns $2.
(1) Write an equation that describes the situation in slope-intercept form and explain what the x- and y-values represent.
(2) Graph the situation on a coordinate plane assuming the domain is all real numbers.
(3) What does the x-intercept mean? What does the y-intercept mean?
(4) Does the situation involve direct variation or not? If it does, justify your answer. If it does not, describe how the situation would need to change in order for y to directly vary with x. Then, write a direct variation equation based upon the changed situation.
Answer && Step-by-step explanation:
We know that an equation can be used, 2*x=4
slope int form : y=mx+b
b is not necessary here
1. 4=2x
2 represents the amount of dollars, x represents amount of days, y represents the required result
2. make y, 0: 2x=0
plug in values for x to represent y values
3. x means how much money he has and y is how many days
(x,y)
4. It does involve direct variation. y/x == k
4/2=2 which is exactly what we need to get 4
Answer:
1)
[tex]y=2x-4[/tex]
2)
Please see below for the graphs.
3)
The x-intercept means that Mike will pay off his debt after 2 days.
The y-intercept means that Mike initially owes his friend $4.
4)
No, it does not involve direct variation.
We can change it to direct variation if we remove the debt Mike owes.
The direct variation equation will then be:
[tex]y=2x[/tex]
Step-by-step explanation:
We know that Mike owes his friend $4. Each day, Mike earns $2.
Part 1)
Let y represent the amount of money Mike will have after x days.
Since Mike owes his friend $4, this means that the original amount he has is -4.
However, Mike earns $2 per day. So, our slope will be +2x.
Putting this all together, the equation that represents Mike’s situation is:
[tex]y=2x-4[/tex]
The y represents Mike’s total assets (money). The -4 represents what Mike started with, he $4 he owes. And the 2x represents the amount Mike will have after x days since he earns $2 per day.
Part 2)
Please see the graph below.
To graph by hand, first start by drawing a dot at the y-intercept, (0, -4).
Now, since our slope is 2, this is the same as saying 2/1.
So, draw a dot by going up 2 for every 1 right. Do this at least twice. This should yield three dots.
Finally, connect them with a graph.
I’ve also done it by hand to give you a visual.
Part 3)
So, from the graph, we can see that the x-intercept is (2, 0).
And the y-intercept is (0, -4).
The x-intercept tells us that when x is 2, y is 0.
Therefore, this means that after two days, Mike would’ve paid off his debt of $4.
Similarly, our y-intercept tells us that when x is 0, y is -4.
So, on Day 0, when Mike haven’t earned any money yet, he owes $4 as illustrated by -4.
Part 4)
Remember that direct variation equations must always go through the origin point.
Since our equation does not go through the origin, our equation is not direct variation.
Remember that for a graph to be direct variation, the y-intercept must be 0.
In other words, if Mike doesn’t owe any money at the start, we will have direct variation.
Thus, if the situation changed such that Mike doesn’t owe his friend any money, then we will have a direct variation equation.
Since he doesn’t owe any money, our y-intercept is 0. He will still earn $2 per day. Therefore, our equation will be:
[tex]y=2x[/tex]
Here, our constant of variation is 2, illustrating that Mike earns $2 per day.
And we are done!
7th grade math help I don't get this :(
Answer:
No solution
Step-by-step explanation:
Solve the system of equations with elimination or substitution.
Add the equations together:
A + (-B) + (-A) + B = -1 + 0
0 = -1
There is no solution.
what is the slope of the line described by the equation below
Answer:
5
Step-by-step explanation:
the slope is the one conecter to the x
A farmer's market sells pecans, walnuts, and cashews. They each have a
different cost and are priced per pound. Alyssa buys three pounds of walnuts
and four pounds of cashews and spends $32. Landon buys seven pounds of
pecans and five pounds of walnuts and spends $65. Tina buys 3 pounds of
pecans and 2 pounds of cashews and spends $22. Find the missing quantity
below.
D
Price per pound for Pecans = $
Answer:
Price per pound for Pecans = $5
Step-by-step explanation:
Let price per pound of walnut be x, price per pound of pecans be y and price per pound of cashew be z.
Thus;
For alyssa;
3x + 4z = 32 - - - (eq 1)
For Landon:
5x + 7y = 65 - - - (eq 2)
For Tina;
3y + 2z = 22 - - -(eq 3)
From eq 3, let's make z the subject;
z = (22 - 3y)/2
Putting this for z in eq 1 gives;
3x + 4((22 - 3y)/2) = 32
3x + 2(22 - 3y) = 32
3x + 44 - 6y = 32
3x - 6y = -12
Divide through by 3 to get;
x - 2y = -4 - - - eq(4)
Multiply through by -5 to give;
-5x + 10y = 20
Add this to eq 2 to get:
5x - 5x + 7y + 10y = 65 + 20
17y = 85
y = 85/17
y = 5
Thus, Price per pound for Pecans = $5
how do you round 97500 to the nearest 100
Answer: 98000
Step-by-step explanation:
round 500 up to 1000 and add that to 97000 to get 98000
A disconnected graph is a graph where it is not possible to reach all other vertices from any one vertex.
True
False
Use the constant of proportionality to write an equation
that represents the amount of money earned, y, for
mowing x lawns.
Answer:
x=y
Step-by-step explanation:
mowing the lown x times will give you y money
A 4-quart container of window cleaner costs $10.08. What is the price per cup?
Answer:
2.54
Step-by-step explanation:
10.08/4 = 2.54
One of the two points Seamus used to determine the slope of his trendline was (0.00286,4.27). If the slope of his trendline is 8,749 K, what is the y-intercept of his trendline
Answer:
c = -25017.87
Step-by-step explanation:
The slope of his trendline is 8,749 K
The two points that are used to find the slope of his trendline was (0.00286,4.27).
We need to find the y-intercept of his trendline. Slope of equation is given by :
y = mx +c
We need to find c.
Put y = 4.27, m = 8,749000 and x = 0.00286
c = y-mx
c = 4.27- 8,749000 (0.00286)
c = -25017.87
So, the y -intercept of his trendline is 25017.87
Round 38.7165 to the nearest thousandth
Answer:
38.717
Step-by-step explanation
I need help with homework
Answer:
there is no question, try to post the question next time:)
Step-by-step explanation:
Answer:
ok
whats ur homework abt
The value of y varies directly with x. When y = 5.5, x = ¼ . What is the value of y when x is 3? *
Answer:
The answer is 66
Step-by-step explanation
Answer:
66
Step-by-step explanation:
5.5 in fraction form is 11/2
Divide 11/4 and 1/4
This will get you 22
Then, multiply 3 by 22
This will equal, your final answer, 66!
A normal die (numbered 1-6) is fair if each outcome is equally likely. Therefore a 1 should come up of the time. If a fair die is rolled 360 times we would expect a 1 to come up 60 times (since 1 over 6 times 360 equals 60 ). If x represents the number of times a "1" is rolled then open vertical bar fraction numerator x minus 60 over denominator square root of 50 end fraction close vertical bar less than 1.96 gives the reasonable range for the number of times a "1" will come up in 360 rolls. If we roll the die 360 times and get a "1" 30 times, is our die a fair die? Show your work using the equation editor.
Answer:
Yes the die is fair as the calculated z= -0.224 is less than the Z∝= 1.96
Step-by-step explanation:
x`- u / s/√n< Z∝
x`- 60 /√50/√360 < 1.96
From the above we find that u = 60 and the sample size n= 360 S= √ 50
Z∝= 1.96
Here p = 1/6 ( the probability of getting a 1 out of 6)
q= 5/6
Since it is normal Standard deviation = √npq = √360 * 1/6*5/6= √50
If x`= 30
then
30 - 60 /√50/√360 < 1.96
-30/7.07*18.973 < 1.96
- 0.224 < 1.96
Yes the die is fair as the calculated z= -0.224 is less than the Z∝= 1.96 the null hypothesis that die rolled is fair is accepted.
a number x is less than 5 and greater than or equal to -2
Answer:
It could be any number from a range of -2 to 4.
Step-by-step explanation:
Solve for m. The radical is equation below.
m = 15√3
Step-by-step explanation:Hi there !
m/√3 - 11 = 4
m√3/√3·√3 - 11 = 4
m√3/3 - ³11 = ³4
m√3 - 33 = 12
m√3 = 12 + 33
m√3 = 45
m = 45/√3
m = 45√3/3
m = 15√3
Good luck !
Shares in stock of a new company are selling for $3.75 per share. An investor has $800. Which inequality can be solved to show the number of shares s he can buy?
Given:
Price of each share = $3.75
Total amount invertor has = $800
To find:
The inequality that can be solved to show the number of shares s he can buy.
Solution:
Let x be the number of shares he can buy.
Price of 1 share = $3.75
Price of x shares = $3.75x
An investor has $800.
The price of x shares must be less than or equal to the amount he has. So,
[tex]3.75x\leq 800[/tex]
Divide both sides by 3.75.
[tex]x\leq \dfrac{800}{3.75}[/tex]
[tex]x\leq 213.33...[/tex]
So, the maximum possible integer value of x is 213.
Therefore, the equation inequality is [tex]3.75x\leq 800[/tex] and he can buy 213 shares.
The mass of a hummingbird is
4,000 milligrams. Use a
proportion to convert 4,000
milligrams to grams
PLEASE HELPPPPP
Answer:
4 grams
Step-by-step explanation:
There are 1000 milligrams in a gram, so the proportion is 1g/1000mg=xg/4000mg
when you cross multiply, you get 1000xg=4000mg/ divide both sides by 1000 and you get xg=4, meaning x=4 grams
Let f (x comma y )equals 4 x squared minus 9 x y plus 6 y cubed. Find f subscript x (x comma y ).
Answer:
Fx(x,y) = 8x -9y
Step-by-step explanation:
Given f(x,y) = 4x²-9xy+6y³, we are to find the derivative of the function with respect to x keeping y as constant.
Fx(x,y)
This is known as partial derivative of the function.
Fx(x,y) = 2(4)x^(2-1) - 9y + 0
Fx(x,y) = 8x -9y
Note that the differential of a constant is zero, hence the reason why 6y³ tends to zero since there are no x variable attached.
a video game is $38.00 plus 8% sales tax. What is the sales tax on this video game in dollars and cents?