Answer is 214
Step-by-step explanation:
because if you add them it equal that number
PLEASEEEE HELP ME WITH 1A. ITS EASY IF YOU KNOW HOW TO DO IT
I need help ASAP plz help I will mark brain list
Stella is sawing boards to make a deck. What is the area of the deck?
11
A. 112.5 square feet
B. 95 square feet
C. 120 square feet
D. 87.5 square feet
Kyle and Myles wanted to buy the soccer team food after the game.
Kyle bought 5 hotdogs and 3 French fries, which costs him $14.50. Myles bought 4 hotdogs and 2 French fries, which totaled as $11.00. How much does 1 hotdog cost?
Walkthrough your answer by showing your work
Set up 2 equations:
Kyle: 5h + 3f = 14.50
Myles: 4h + 2f = 11.00
Lets get the two h's to cancel out.
Multiply Kyle by 4 and Myles by -5:
Kyle: 20h + 12f = 58
Myles: -20h - 10f = -55
Now add the two equations together:
2f = 3
Divide both sides by 2:
f = 3/2
f = 1.50
1 french fry cost $1.50
Now solve for the price of a hot dog:
5h + 3(1.50) = 14.50
5h + 4.50 = 14.50
Subtract 4.50 from both sides:
5h = 10.00
Divide both sides by 5:
h = 2
One hot dog cost $2.00
Solve the following linear equation for x
5x−2+x=9+3x+10
Answer:
x = 7
Step-by-step explanation:
5x - 2 + x = 9 + 3x + 10
5x + x - 2 = 9 + 10 + 3x
5x + x - 3x - 2 = 9 + 10 + 3x - 3x (substracted 3x from both sides)
3x - 2 = 19
3x = 19 + 2
3x = 21
x = 21 : 3
x = 7
It is given that y varies inversely as x^2. If x is decreased by 50%, find the percentage change in y.
Answer:
300%
Step-by-step explanation:
Given
[tex]y\ \alpha\ \frac{1}{x^2}[/tex]
Required
Find the percentage change in y when x decreased by 50%
First, convert to equation
[tex]y\ = \ \frac{k}{x^2}[/tex]
Where k is the constant of proportionality
When x decreased by 50%
[tex]Y = \frac{k}{(x - 0.5x)^2}[/tex]
[tex]Y = \frac{k}{(0.5x)^2}[/tex]
[tex]Y = \frac{k}{0.25x^2}[/tex]
Expand
[tex]Y = \frac{1}{0.25} * \frac{k}{x^2}[/tex]
Substitute [tex]\frac{k}{x^2}[/tex] for y
[tex]Y = \frac{1}{0.25} * y[/tex]
[tex]Y = 4 * y[/tex]
[tex]Y = 4 y[/tex]
The percentage change is then calculated as:
[tex]\%Change = \frac{Y - y}{y} * 100\%[/tex]
[tex]\%Change = \frac{4y - y}{y} * 100\%[/tex]
[tex]\%Change = \frac{3y}{y} * 100\%[/tex]
[tex]\%Change = 3 * 100\%[/tex]
[tex]\%Change = 300\%[/tex]
The percentage in y is 300%
From the calculation, the percentage change in y is 300%.
From the statement of the question; y α 1/x^2 so introducing the constant of proportionality, we have; y =k/x^2 so k = x^2y.
We are then told that x is decreased by 50% hence;
Y = k/(x - 0.25x)^2
Y = k/(0.5x)^2
Y = 1/0.25 k/x^2
But k/x^2 = y so;
Y = 1/0.25 y
Y = 4y
Change = 4y -y/y * 100/1
= 300%
Learn more about percentage change: https://brainly.com/question/15308590
A map of a public park shows a circular pond. There is a bridge along a diameter of the pond that is 0.85 mi long. You walk across the bridge, while your friend walks halfway around the pond to meet you at the other side of the bridge. How much farther does your friend walk?
Answer: 0.49 mi
Step-by-step explanation:
First find the half circumference of the circular pond as this will show the total distance your friend has to walk:
= (π * diameter) / 2
= (22/7 * 0.85) / 2
= 1.34 mi
Your friend is going to walk 1.34 and you will walk 0.85.
Difference is:
= 1.34 - 0.85
= 0.49 mi
Find the values of x
when y = 1
Step-by-step explanation:
when y=1 then,
y=1+X
X=1-y .
I'm assuming the equations are o that you solve in your own:
x = y + 1 = 1+1 = 2
x = y -1 = 1-1 = 0
x = 1*y = 1*1 = 1
x = y*1 = 1*1 = 1
x = y/1 = 1/1 = 1
x = 1/y = 1/1 = 1
What is an Equation?
An equality relationship between two expressions written on both sides of the equal to sign.
How Equations are Used in Real Life?There are many situations in which equations can be used. Whenever an unknown quantity has to be found, an equation can be formed and solved.
Learn more about Equation here
https://brainly.com/question/13763238
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Fill in the missing terms of the arithmetic sequence.
-7, __, 1, 5, __, 13
1. -3, 9
2.-3, 10
3.-4, 9
4.-4, 10
Answer:
the missing terms are x, y
we have:
x + 7 = 4 => x = -3
13 - y = y - 5
<=> 2y = 18
<=> y = 9
so the missing terms are -3; 9
3х - у = -3
х+у= -1 using elimination
method
Answer:
Your solution is (-1, 0)
Step-by-step explanation:
3x - y = -3
x + y = -1
The elimination method eliminates one variable at a time to find the other variable.
Here we can see that the y variable will naturally be eliminated.
3x - y = -3
x + y = -1
--------------
4x = -4
Divide both sides by 4 to isolate x.
x = -1
Now plug this value back into one of the equations.
3(-1) - y = -3
Multiply.
-3 - y = -3
Add 3 to both sides.
-y = 0
Divide both sides by -1.
y = 0
Your solution is (-1, 0)
Check this solution by plugging these values into the second equation.
-1 + 0 = -1
-1 = -1
Your solution is correct.
Hope this helps!
Answer:
x = -1
y = 0
Step-by-step explanation:
3x - y = -3 -------------------(I)
x + y = -1 ------------------(II)
Add equation (I) & (II). Now, y will be eliminated and you can find the value of x
(I) 3x - y = -3
(I) x + y = -1
4x = -4
x = -4/4
x = -1
Plugin x = -1 in equation (II)
-1 + y = -1
y = -1 +1
y = 0
What's the equation of the line that passes through the points (-8,4) and (0,22)?
A) y= -9/4x+22
B) y=4/9x+22
C) y=9/4x
D) y=9/4x+22
Answer:
Step-by-step explanation:
y=mx+b where m=slope and b=y intercept
m=(y2-y1)/(x2-x1)=(22-4)/(0+8)=2.25
y=2.25x+b, using point (0,22) we can solve for b
22=2.25(0)+b
b=22
y=2.25x+22 or stating it fractionally
y=9x/4+22
Answer:
its d
Step-by-step explanation:
In ANOP, PN = OP and m20 = 32°. Find mZP.
Answer:
m<P = [tex]116^{0}[/tex]
Step-by-step explanation:
The given triangle is an isosceles triangle.
Since PN ≅ OP, then m<O ≅ m<N.
So that,
m<O + m<P + m<N = 180 (sum of angles in a triangle)
But,
m<O = 32 ≅ m<N = 32 (base angles of an isosceles triangle are equal)
32 + 32 + m<P = 180
64 + m<P = 180
m<P = 180 - 64
= 116
m<P = [tex]116^{0}[/tex]
Can you help? Thanks!
Answer:
(7, 2).
Step-by-step explanation:
The median from A intersects BC at it's midpoint.
To find the midpoint of BC:
This is (x1, y1) where x1 = (sum of the x_values of B and C) / 2) and where y1
= (sum of the y_values of B and C) / 2)
This is (2+12)/2, (1 + 3)/2
= (7, 2).
Please help worth 25 points
Answer:
The answer is (b-5)2
Step-by-step explanation:
Decreasing means you need to subtract.
Doubled mean you need multiple it by 2.
Answer:
a number b is decreased by 5 then doubled
(b -5) x 2
the sum of 20 and h is divided by f
h/f = 20
Marissa's hair was 10inches long and then she cut b inches
10 - b
the sum of twice c and 10
2 x c = 2 x 10
anna had a n piece of candy and ate 5. she split remaining amount with three friends
(n-5) = (X / 3)
I hope my answer are correct and helpful a little bit.
two towns are 324 miles apart. on a map they are 4 1/2 apart. the scale of the map is 1
I really need help with a thing for math if yall can help I would appreciate it. If yall know this comment down below and tell me the answer
Answer:
27
Step-by-step explanation:
3/5of 45 is basically what you are looking for and it in itself is the equation you have to solve
3/5 is 3 divided by and "of" is basically multiply by 45
3/5*45
.6*45
27
What is the total amount that will be repaid if the loan described is paid in 2 years?
$1,245 loan; 5% interest rate
Given:
Principal value of loan = $1,245
Rate of interest = 5%
To find:
The total amount that will be repaid if the loan described is paid in 2 years.
Solution:
The formula for amount is
[tex]A=P\left(1+\dfrac{r}{100}\right)^t[/tex]
Where, P is the principal, r is the rate of interest, t is the number of years.
Putting P=1245, r=5 and t=2, we get
[tex]A=1245\left(1+\dfrac{5}{100}\right)^2[/tex]
[tex]A=1245\left(1+0.05\right)^2[/tex]
[tex]A=1245\left(1.05\right)^2[/tex]
On further simplification, we get
[tex]A=1245(1.1025)[/tex]
[tex]A=1372.6125[/tex]
[tex]A\approx 1372.61[/tex]
Therefore, the total amount that will be repaid if the loan described is paid in 2 years is $1372.61.
A fully loaded truck weighed 10 3/5 tons. After unloading, the truck weighed 3 2/3 tons. What was the weight of the load?
Answer:
14
Step-by-step explanation:
A fully loaded truck weighs 10 3/5 tons
After unloading the truck weighed 3 2/3 tons
Therefore the weight of the load can be calculated as follows
= 10 3/5 - 3 2/3
= 53/5 - 11/3
= 265-55/15
= 210/15
= 14
Hence the weight of the load 14
Which is the graph of y= 2x-3?
Answer:
(A:
Step-by-step explanation:
EXAMPLE:
in Slope Intercept form, the letter x determines the slope of the line, where 0 makes the line horizontal and 1 makes the line at a 45 degree angle, in this case to go from x to x plus 1 you would climb y two times, so it takes two units to go one unit to the right, so x is multiplied by 2
the addition at the end of the formula resembles how high up or down the line crosses the y axis, if the number is positive, then the line crosses that amount higher then 0, if it were a negative number, it would cross that much lower
hope this makes sence, dont worry, once you understand how slope intercept form works, you will never forget it, good luck with ur studies :)
MEGA CREDITS to MisterZeng for double checking our work, thx m8 :D
Which sequences are geometric?
98, 49, 21, 9.75
1, 2, 4, 8
2, 8, 32, 128
100, 25, 6.25, 1.5625
Step-by-step explanation:
Just think of these as your building blocks for geometry success.
Diagram for success. ...
Know your properties and theorems.
Understand Euclid's postulates.
Learn the language of math.
Know your angles. ...
Know your triangles. ...
Figure out what you want and what you're given. ...
Now fill in the rest.
i dont know how to do this pls help
Answer:
1) 225
2) 2304
Step-by-step explanation:
1)
Use geometric mean of legs
[tex]x = \sqrt{(16+9)^2 * 9^2} = \sqrt{25^2 * 9^2} = 25 * 9 = 225[/tex]
2)
Use geometric mean of altitude
[tex]x = \sqrt{(100-36)^2 * 36^2} = \sqrt{64^2 * 36^2} = 64 * 36 = 2304[/tex]
A culture of bacteria has an initial population of 7100 bacteria and doubles every 2
hours. Using the formula P+ = Po · 2ả, where P is the population after t hours, Po
is the initial population, t is the time in hours and d is the doubling time, what is the
population of bacteria in the culture after 15 hours, to the nearest whole number?
Answer:
Pt=1285237.2855≈ 1285237
YOUR WELCOME :)
what is (6.648 x 10 to the power of 9) - (2.9 x 10 to the power of 7) in scientific notations
Answer:
6.651*10^9
Step-by-step explanation:
6.68*10^9-2.9*10^7
You can factor out 10^7 to get
(6.68*10^2-2.9)*10^7
(668-2.29)*10^7
665.71*10^7
Scientific notation would be 6.651*10^9
To create a pattern with Legos, Jerry uses 5 green Legos for every 3 blue Legos. If he used 35 green Legos in the pattern, what is the TOTAL amount of Legos he used?
A.43 legos in all
B.8 legos in all
C.56 legos in all
D.21 legos in all
Answer:
56 legos in all
Step-by-step explanation:
35/5=7
7*3=21
21+35=56
Answer:
well i have legos in rl so i think the answer is C. or 56 legos in all
Step-by-step explanation:
Let y = f(x) be a cubic polynomial with leading coefficient a = 2 and f(-2) = f(1) = f(2) = 0. find the factored form of f.
Answer:
I honestly do not know sorry
What is the value of x in reduced radical form? (us sqrt)
Answer:
sin theta= p/h
here, 40√3/x=x sin 60
40√3/x=x √3/2
40/x= x/2
x^2=80
=√80=4√5
In 4 minutes, a conveyor belt moves 800 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt moves the same quantity of cans the same distance in 6 minutes. If both belts are used, find how long it takes to move the cans to the storage area.
Answer:
It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.
Step-by-step explanation:
Given - In 4 minutes, a conveyor belt moves 800 pounds of recyclable
aluminum from the delivery truck to a storage area. A smaller belt
moves the same quantity of cans the same distance in 6 minutes.
To find - If both belts are used, find how long it takes to move the cans
to the storage area.
Proof -
Given that,
Larger belt take 4 minutes to transfer the aluminium from delivery truck to storage area.
⇒ Time taken by Larger belt = 4 min/ shifting
Also,
Smaller belt take 6 minutes to transfer the aluminium from delivery truck to storage area.
⇒ Time taken by Smaller belt = 6 min/ shifting
Now,
As we know that Time is inversely proportional to time, so
Rate of Larger Belt = [tex]\frac{1}{4}[/tex] shifting/min
Rate of Smaller Belt = [tex]\frac{1}{6}[/tex] shifting/min
Now,
Let us assume that , if both belts used then,
Total time taken = x min/shifting
Then, Rate = [tex]\frac{1}{x}[/tex] shifting/min
Now,
[tex]\frac{1}{4}[/tex] + [tex]\frac{1}{6}[/tex] = [tex]\frac{1}{x}[/tex]
⇒[tex]\frac{6 + 4}{24} = \frac{1}{x}[/tex]
⇒[tex]\frac{10}{24} = \frac{1}{x}[/tex]
⇒10x = 24
⇒x = [tex]\frac{24}{10}[/tex] = 2.4 minutes
∴ we get
It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.
Someone help me out please!! YOU WILL GET BRAINLIEST
nope they are not similar
as in order to say that triangles are similar their sides should be in proportion or angles to be equal but here
here only one angle is equal the other one is not
So they are not similar
Step-by-step explanation:
Yes the given two triangles are similar because all the corresponding angles are equal.
in the first figure let the remaining angle be x then
x + 37 + 110 = 180
x = 33
In the second figure let the remaining angle be y then
y + 33 + 110 = 180
y = 37
Here we come to the conclusion that all the corresponding angles are equal so they are similar triangles.
Hope it will help :)❤
Find the missing angle.
Answer:
90°
Step-by-step explanation:
40+50+x=180
x=90
Jenny is 9 years younger than Sammie. Five years ago, Sammie was four times older
than Jenny. How old is each now?
Answer:
Jenny's age = 8 yr
Sam's age = 17 yr
Step-by-step explanation:
Let x = Jenny's age now
then x + 9 = Sam's age now
x - 5 = Jenny's age 5 years ago
x + 9 - 5 = x + 4 = Sam's age 5 years ago
4(x - 5) = x + 4
4x - 20 = x + 4
3x = 24
x = 8 = Jenny's age now
x + 9 = 8 + 9 = 17 Sam's age now
Check: 5 yrs ago Jenny was 3 and Sam was 12
4(3) = 12, so the answer is correct.
Divide R300 000 between Leona and Janet in the ratio 3:2.
Answer:
let the ratio be in x
a/q. 3x + 2x = 300000
5x = 300000
x = 300000/5
x= 60000
Leona = 60000*3 = 180000
Janet = 60000*2 = 120000
hope it helps