convert 8x-10y=20 into slope intercept form
Answer:
y=⅘x-2
Step-by-step explanation:
8x-10y=20
-10y=-8x+20
y=⅘x-2
Challenge The numbers of home runs a baseball player hits during spring training and during the regular season for four years are shown. Decide if the relationship between home runs hit in spring training and during the regular season is proportional. If the table represents a proportional relationship, find how many home runs are hit during the regular season if the player hit 3 during spring training
Answer:
12
Step-by-step explanation:
Key word: Most likely
First try to find the constant of proportionality
8/2= 4
4/4= 1
20/5=4
24/6=4
Since it says most likely we would say the constant of proportionality is 4.
Since they are asking for 3 homes runs we will do 3 times 4
[tex]3[/tex]×[tex]4=12[/tex]
The player will hit 12 home runs are hit during the regular season if the player hit 3 during spring training.
What is constant of proportionality?The constant of proportionality is the ratio between two directly proportional quantities.
Two quantities are directly proportional when they increase and decrease at the same rate.
The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.
Finding the constant of proportionality :-
8/2= 4
4/16= 4
20/5=4
24/6=4
Since, the constant of proportionality is 4.
And, they are asking for 3 homes runs we will do 3 times 4
Therefore, 3 x 4 = 12
Hence, the player will hit 12 home runs are hit during the regular season if the player hit 3 during spring training.
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Which expression is equivalent to - 2/3 (6x + 15) ?
A.
4x + 10
B.
4x – 10
C.
-4x - 10
D.
- 4x + 10
Answer:
-4x - 10
Step-by-step explanation:
Given the expression -2/3(6x+ 15)
Open the bracket
-2/3(6x+ 15)
= -2/3 (6x) -2/3(15)
= -2(2x) - 2(5)
= -4x - 10
hence the equivalent expression is -4x - 10
Marcus is building a fence around his rectangular backyard. The length of his backyard is
75
3/4
ft, and the width is
81
1/4
ft. If the fence is
3/4
finished, how much fencing is left to complete?
Answer:
4,923.75ft²
Step-by-step explanation:
The area of the backyard = Length * width \
Area of the backyard = 75 3/4 * 81 1/4
Area of the backyard = 303/4 * 325/4
Area of the backyard = 6,154.6875ft²
If 3/4 of the fence is finished, the area of the finished part is expressed as;
Finished part = 1/5 * 6,154.6875
Finished part = 1,230.9375ft²
Part left unfinished = 6,154.6875-1,230.9375
Part left unfinished = 4,923.75ft²
Answer:235.5
Step-by-step explanation:
75 3/4= 75.75 (L). 81 1/4= 81.25 (W)
Perimeter= 314 3/4 of 314 is 235.5
need help FAST not sure
9514 1404 393
Answer:
7. obtuse
8. right
9. acute
Step-by-step explanation:
You can look at the difference ...
a^2 + b^2 -c^2
where c is the longest side. You can classify the triangle based on the result:
> 0 -- acute
= 0 -- right
< 0 -- obtuse
__
7. 7^2 +9^2 -15^2 = 49 +81 -225 = -95 ⇒ obtuse
8. 3^2 +4^2 -5^2 = 9 +16 -25 = 0 ⇒ right
9. 4^2 +5^2 -6^2 = 16 +25 -36 = 5 ⇒ acute
_____
There are several triangle solver apps and web sites available. Your graphing calculator may also solve triangles for you.
I need this answer ASAP
Answer:
i think the area is 60 i added it up
Geometry
I’ll mark brainiest crown thing only for the correct answer tho
Answer: i think it is ASA
Step-by-step explanation:
Please help me!! I really need some help ASAP please
Answer: put a dot at the place you think 7 over 2 would be then put one at -2 on the x axis then drawn a line
Step-by-step explanation:
60% of what number is 880?
Answer:
1466.666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666
Step-by-step explanation:
A hiker stands on a small hill and tosses a stone. The stone then follows a path with height h above the ground at time t. The function
h(t) = - 16t2 + 16x + 32 models the stone's path. How long does it take the stone to reach its maximum height?
Answer:
At time t=0.5, the stone reaches a maximum height of h= 35.
Step-by-step explanation:
A quadratic function or function of the second degree is a polynomial function defined by:
f(x)=a*x² + b*x +c
The maximums and minimums of a function are the largest (maximum) or smallest (minimum) values of a function.
The vertex of the function is a point that is part of the parabola or quadratic function that coincides with the maximum or minimum. When a> 0, the vertex of the parabola is at the bottom of it, being a minimum (that is, the parabola opens "upward"), and when a <0 the vertex is at the top , being a maximum (that is, the parable opens "downward").
h represents the value of its abscissa (value of x).
k represents the value of its ordinate (value of f (x)).
The value of h can be calculated with the formula [tex]h=-\frac{b}{2*a}[/tex]
The value of k must be obtained by substituting the value of h in the function f(x)=a*x² + b*x +c
In this case: a=-16, b=16 and c=32. As a <0 the vertex is at the top , being a maximum. So:
[tex]h=-\frac{16}{2*(-16)}=0.5[/tex]
Substituting the value of h in the function f(x)=-16*x² + 16*x +32 you get:
f(0.5)=-16*0.5² + 16*0.5 +32
f(0.5)= 35
At time t=0.5, the stone reaches a maximum height of h= 35.
Please I need help with this 3.1 (p-2.7)
Answer: 3.1p - 8.37
Step-by-step explanation:
To find the solution, you need to distribute 3.1 to each of the values within the parenthesis (p and -2.7, respectively).
3.1 x p = 3.1p
3.1 x -2.7 = -8.37
Combine components
3.1p - 8.37
Find ,giving your answer correct to 3 significant fig where necessary a. 60%of 850
Answer:
60%of 850
60×850÷100
=510
MOON The expression gives the weight of an object on the Moon in pounds with a weight of w pounds on Earth. What is the weight of a space suit on the Moon if the space suit weighs 178.2 pounds on Earth?
Answer: 29.7 pounds
Step-by-step explanation:
The expression in question is w/6.
If the weight of an object on earth is w, the weight of the object on the moon is w/2.
The weight of the space suit is therefore:
= 178.2/6
= 29.7 pounds
Pls help
Simplify the logarithmic expression
9514 1404 393
Answer:
log₁₂(4)
Step-by-step explanation:
The applicable rule of logarithms (to the same base) is ...
log(a^b) = b·log(a)
__
Then the expression simplifies as follows:
[tex]3\log_{12}(2)+\dfrac{1}{3}\log_{12}(2^3)-\log_{12}(2^2)\\\\=3\log_{12}(2)+\dfrac{3}{3}\log_{12}(2)-2\log_{12}(2)=(3+1-2)\log_{12}(2)\\\\=2\log_{12}(2)=\log_{12}(2^2)=\boxed{\log_{12}(4)}[/tex]
share 1200kg in the ratio 3:37
Answer:
3+37=40
3/40×1200=90kg
37÷40×1200=1110kg
Step-by-step explanation:
''.''
Answer:
[tex]3x+37x=40x\\40x=1200kg\\x=\frac{1200}{40} \\x=30kg\\[/tex]
[tex]3x=30kg*3=90kg\\37x=30kg*37=1110kg[/tex]
What is the origin of algebraic expresions plz
I need help please! Thank you
Answer:
2/5
Step-by-step explanation:
First, we substract the y variables.
y - 2 - y - 3 = 1
2(1) = 2
Then we subtract the bottom numbers.
5-2 = 3
The answer is 2/5
Answer:
y = 4
Step-by-step explanation:
Find the value of x in rectangle BCDE.
Find Value of x.
Answer:
34
Step-by-step explanation:
Answer:
x=34
Step-by-step explanation:
2x=x+34
-x -x
x=34
TADA! :D
HELP HELP PLEASE!! SUPER CONFUSED!
Answer:
A. 0
B. 7
C. 3
D. 9
E.9
F.3
G.1
H.5
J.7
K.5
L.1
It's just a lot of reversing operations and seeing what fits, but if you have more you want to try, just make sure you remember borrowing and carrying numbers because they make a big difference.
Can someone tell me what the slope is ?
Answer:
-5/4
Step-by-step explanation:
rise/run = -5/4
hope this helps <3
Answer:
-5/4
calculator lol (and rise over one)
Question is in picture
Answer:
[tex] \frac{y - 3}{x - 0} = \frac{3 - 1}{0 - 1} = \frac{2}{ - 1} \\ \frac{y - 3}{x} = - 2 \\ y - 3 = - 2x\\ 2x + y - 3 = 0 \\y = - 2x + 3 \\ \boxed{f(x) = - 2x + 3}[/tex]
B. is the right answer.hope this helps.
The cost of renting a canoe to use on River Y costs $. The cost of renting a canoe to use on River Z costs $ per hour plus a $ deposit. The total cost, c, of renting a canoe on either river for n hours can be represented by an equation. Write and graph a system to find how many hours you have to rent a canoe for the cost to be the same on both rivers.
You have to rent a canoe for___hours for the cost to be the same.
Answer:
7 hours
Step-by-step explanation:
Help due at 11:59 please help
Answer:
Step-by-step explanation:
the last choice looks good
Answer: Its the bottom one i believe
Step-by-step explanation:
Domain slope stuff you don't want to hear have a good night :)
what is the ratio 5/7 to 2/7
Answer: What is the ratio of 7 to 2?
Students learn that a ratio is a comparison of two numbers or quantities. For example, if there are 2 shaded parts of a picture and 7 unshaded parts, the ratio of shaded parts to unshaded parts is 2 to 7. Note that the ratio 2 to 7 can also be written as 2:7 or 2/7
What is the ratio of 7 to 5?
20 : 28
5 : 7 = 20 : 28. And 7 is a fourth of 28.
Step-by-step explanation:
Fred buys 6 pizzas. Each pizza is cut into 3 than z slices. How many total slices are there?
Answer:
I think it's 18z slices, please tell me if i'm wrong!
Step-by-step explanation:
6*3 = 18
18*z = 18z
I think it's 18z slices, please tell me if i'm wrong!
A family buys 6 tickets to a show. They also pay a $3 parking fee. They spend $27 to see the show and park. A. Find the solution to the equation you chose for the story above. B. Explain what the solution means in the context of the story.
If there are 1.61 kilometers in a mile and also 5,280 feet in a mile, then how many feet are there in 3 kilometers?
Answer:
There are 9838.5 feet in 3 kilometers.
Step-by-step explanation:
Given that:
There are 1.61 kilometer in a mile.
1 mile = 1.61 km
Also,
1 mile = 5280 feet
Comparing,
1.61 km = 5280 feet
1 km = [tex]\frac{5280}{1.61}[/tex] feet
1 km = 3279.50
3 km = 3279.50 * 3
3 kilometers = 9838.5 feet
Hence,
There are 9838.5 feet in 3 kilometers.
A distance of 3 kilometers is equal to 9,838.5 feet.
Given to us:
1 miles = 1.61 kilometers,
1 miles = 5,280 feet,
from the above to equations we can conclude,
[tex]1\ miles = 1.61\ kilometers = 5,280\ feet\\ 1.6\;kilometers = 5,280\ feet\\\\1\ kilometers =\dfrac{ 5,280\ feet}{1.61} \\\\1\ kilometers = 3,279.5\ feet[/tex]
So, now for 3 kilometers we can conclude that,
[tex]1\ kilometers = 3,279.5\ feet\\3\ kilometers = (3,279.5\times3)\ feet\\3\ kilometers = 9,838.5\ feet[/tex]
Hence, A distance of 3 kilometers is equal to 9,838.5 feet.
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A cylinder has a volume of 198 cm3, and its base has an area of 22 cm2. What is the height of the cylinder? V= πr²h
Answer:
The height of cylinder is 9 cm
Step-by-step explanation:
Volume of cylinder = 198 cm³
Base Area = 22 cm²
We need to find height of the cylinder
The formula used is: [tex]Volume\:of\:cylinder=\pi r^2h[/tex]
Where [tex]Base\: Area = \pi r^2[/tex]
First we need to find radius r
[tex]Base\: Area = \pi r^2\\22=3.14\: r^2\\r^2=\frac{22}{3.14}\\r^2=7\\Taking\: square\: root\: on\: both\: sides\\\sqrt{r^2}=\sqrt{7}\\r=2.656[/tex]
So, we get radius r = 2.656
Putting values of volume and radius are to find height
[tex]Volume\:of\:cylinder=\pi r^2h\\198=3.14(2.656)^2h\\h=\frac{198}{22}\\h=9[/tex]
So, the height of cylinder is 9 cm
It costs $3.45 to buy ¾ lb of chopped walnuts. How much would it cost to purchase 7.5 lbs of walnuts? Explain or show your reasoning.
Answer:
It would cost $ 34.5
Step-by-step explanation:
Given,
The cost of 3/4 lb of chopped walnut = $ 3.45,
So, the cost of 1 lb of chopped walnut = 4/3*3.45
=4*1.15
= $ 4.6,
Thus, the cost of 7.5 lbs of walnuts = 7.5 × cost of 1 b of walnut
= 7.5 × 4.6
= $ 34.5
Help please thank you !
Answer:
3
Step-by-step explanation:
2/36=x/54
Cross multiply and find x
Answer:
it is 3 cups!
Step-by-step explanation:
36+18=54
2 cups were used for 36, 3 cups were used for 54 :)