Latrell wants to fill his water bottle between classes, but the water fountain next to his classroom is frustratingly slow. It takes Latrell 5 seconds to get each ounce of water in his bottle. There is a proportional relationship between the amount of water (in ounces) Latrell puts in his water bottle, x, and how long in seconds) it takes to get that amount, y. Graph this relationship. Select two points to draw a line.
what is the slope of the line? _____
Answers
Answer:
Step-by-step explanation:
Slope = rise/ run, or y∨2 - y∨1/ x∨2 - x∨1
5-10/ 1-2 =
-5/-1 = 5
The slope of the line drawn from the given data is 5.
What is the slope?A line's steepness can be determined by looking at its slope. The slope is calculated mathematically as "rise over run" (change in y divided by change in x).
Given this, Latrell fills his bottle with one ounce of water in five seconds. The amount of water Latrell puts in his water bottle (in ounces), x, and the time (in seconds) it takes to get that amount, y, are proportionate. This connection can be graphed. Since, the line will pass from the origin(0, 0).
Since given y is the directly proportional equation of the line will be;
y = mx
where m is the slope of the line
Also given, filling the bottle at every ounce requires 5 seconds of time. hence, the line will go from (1, 5)
Thus, the value of the m will be;
5 = m *1
m =5
Therefore, the slope of the line is 5.
Learn more about the slope here:
https://brainly.com/question/14548961
#SPJ2
Related Questions
the cost of cereal is 35rand for 1 kg , calculate the cost of 25g
Answers
Answer:
7.14*10^-4rand
Step-by-step explanation:
If the cost of cereal is 35rand for 1 kg, this can be expressed as;
35 and = 1kg
To get the cost of 25grams, we can write
25g = x
0.025 kg = x
Divide both expressions
35/0.025 = 1/x
35x = 0.025
x = 0.025/35
x = 7.14*10^-4rand
Hence the cost of 25g is 7.14*10^-4rand
20 minutes left I need help
Answers
Answer:
131.6
Step-by-step explanation:
Factor completely.
x^4-11x^2+28
Answers
Answer:
x⁴ - 11x² + 28
= x⁴ - 4x² - 7x² + 28
= x²(x² - 4) - 7(x² - 4)
= (x² - 7)(x² - 4)
[tex] = (x - \sqrt{7} )(x + \sqrt{7} )(x - 2)(x + 2)[/tex]
x^4 - 11x^2 + 28
Write - 11x^2 as a difference
x^4 - 4x^2 - 7x^2 + 28
Factor out x^2 from the expression
x^2 x (x^2 - 4) - 7x^2 + 28
Factor out - 7 from the expression
x^2 x (x^2 - 4) - 7 (x^2 - 4)
Factor out x^2 - 4 from the expression
(x^2 - 4) x (x^2 - 7)
Use a^2 - b^2= (a-b)(a+b) to factor the expression
(x-2) x (x + 2) x (x^2 - 7)
And that’s how it’s (x-2) x (x + 2) x (x^2 - 7) ..... yea and .-.
please help me!! i don’t have much time
Answers
Answer:
your answer will be 14
Step-by-step explanation:
hope it helps ^_^
The points (6,6) and (8,h) fall on a line with a slope of
–
3. What is the value of h?
Answers
Answer:
h=3
Step-by-step explanation:
(12-6)/(h--5)=3/4 ~ basic slope equation
6/(h+5)=3/4 ~ simplification
24=3(h+5) ~ multiply both sides by (h+5) and 4 to clear the fractions
24=3h+15 ~ distribute the 3
9=3h ~ subtract 15
h=3 ~ divide by 3
Answer:
Step-by-step explanation:
slope = -3
slope = (h-6)/(8-6) = (h-6)/2 = -3
h-6 = -6
h = 0
Can somebody please help??
Answers
Answer:
-31104
Step-by-step explanation:
They are each Multiplying by 6 so 5184 which also multiply and add the negative sign so you get -31104
Find the area of the future. Round to the nearest tenth if necessary.
use the formulas
for a circle
[tex]a = \pi r ^{2} [/tex]
for a semi circle
[tex]a = \frac{1}{2} \pi r ^{2} [/tex]
for a triangle
[tex]a = \frac{1} {2} bh[/tex]
for a trapezoid
[tex]a = \frac{1}{2} (b _{1} + b_ {2})h[/tex]
for a parallelogram
[tex]a = bh[/tex]
Answers
Which triangle was constructed congruent to the given triangle?
Triangle 1
Triangle 2
Triangle 3
Triangle 4
Answers
Answer:
Triangle 2
Step-by-step explanation:
This is because it has exactly the same cuts on both the sides and having a common base which makes it congruent to the given triangle.
Triangle 2 (option B, for me)
Step-by-step explanation:
WILL GIVE BRAINLIEST!
True or False.
A plumber who earns $12 per hour and works 13½ hours has a total earnings of $162.
True
False
Answers
Answer:
True
Step-by-step explanation:
12*13=156
12*0.5=6
156+6=162
Then we put a money sign in front and a . point after the 2 and two 0's and we get $162.00
Determine if each expression is equivalent to
6 3
7 / 7
Choose Yes or No for each expression.
a. (7)(7 9
[Yes [No
b. 75 + 711
Yes No
c. (75)(7) 74
[Yes No
d. 7 " X 7
Yes No
Yes No
Answers
Answer:
The factor calculator will get all the factors of any positive ... that dividing the product by its factor leaves no remainder. ... Want to check if 7 is a factor of our number.
Solve for x in the diagram below.
35°
5x°
Answers
Answer:
11
Step-by-step explanation:
5x° + 35° = 90°
(complementary angles)
5x° = 90° - 35°
5x° = 55°
x = 55/5
x = 11
Answer:
11
Step-by-step explanation:
35+5x = 90
5x = 90- 35
5x = 55
x = 55/5 = 11
I hope im right!!
Need help will give you the brainliest
Answers
Answer:
The answer is 3v + 5w
Step-by-step explanation:
simple add how many v's there are which are 3 so its 3v and count how many w's there are which is 5 so 5w all together is 3v+ 5w
hope this helps!
Maggie made 3kg of fudge. She and her friends ate some and now there are 1 3/4 kg left. How many kg of fudge did maggie and her friends eat?
Answers
Answer:
1 1/4 kg
Step-by-step explanation:
Maggie made 3kg of fudge. She and her friends ate some and now there are 1 3/4 kg left. How many kg of fudge did maggie and her friends eat?
The kg of fudge thay maggie and her friends ate is calculated as:
Initial kg of fudge - kg of fudge left
= 3 kg - 1 3/4 kg
3/1 kg - 7/4 kg
Lowest common denominator = 4
= 12 - 7/4 kg
= 5/4 kg
= 1 1/4 kg
is -5(x+8) equal to -5x-40 pleaseeee i need helppp
Answers
You get this by using the distributive property.
Answer:
yes
Step-by-step explanation:
The distributive property of multiplication over additions is:
a(b + c) = ab + ac
You multiply the number outside the parentheses, the a, by each of the numbers inside the parentheses, the b and the c. Then you add the products.
Now we can do it with your example.
-5(x + 8)
We multiply -5 by x and multiply -5 by 8. Then we add the products and simplify.
-5(x + 8) = -5 * x + (-5) * 8 = -5x + (-40) = -5x - 40
Answer: yes
Do you think colonialism /slavery indenturship was a
good or a bad thing for
the islands ?
Answers
y = x + 2
y = -5/2x-5
Answers
{ y = -5/2x - 5
x + 2 = -5/2x-5
x = -2
y = -2 + 2
y = 0
(x,y) = (-2,0)
——
Check for solution
{ 0 = -2 + 2
{ 0 = -5/2 (-2) - 5
{ 0=0
{ 0=0
Sarah bought a shirt for $24.00, before tax. Tax was 6% what was the tax Sarah paid
Answers
Write 6% as a decimal : 6% = 0.06
Multiply the price of the shirts by 0.06:
Tax = 24.00 x 0.06 = $1.44
Find the area of a circle whose area equals the half of the sum of the areas of two circles with radil 2 and 3.
13
5
6.5
Answers
Step-by-step explanation:
step 1. a circle with r = 2 has area of (pi)r^2 = (pi)(4) = 4pi
step 2. a circle with r = 3 has area of (pi)r^2 = (pi)(9) = 9pi
step 3. the area, A, of a circle is half the sum of the area of the circles with r = 2 and r = 3
step 4. A = (4pi + 9pi)/2 = 13pi/2 = 6.5(pi).
step 5. the answer is not 6.5 but is 6.5(pi) or 6.5 times pi.
2. Find the Surface Area
3 in
4 in
10 in
Answers
Answer:
164 in squared
Step-by-step explanation:
Find area of faces and multiply by 2 because there is another one.
10 x 3 x 2=60
3 x 4 x 2=24
10 x 4 x 2=80
Answer:
164 in^2
Step-by-step explanation:
3*4=12*2=24 in^2
4*10=40*2=80 in^2
3*10=30*2=60 in ^2
24+80+60=164 in^2
Can someone help me with this please? I would also like to know how you solved it so I can understand. Thank you.
The question is in the picture below
Answers
9514 1404 393
Answer:
30 units
Step-by-step explanation:
Make use of the formula for the volume of a sphere. Solve for the radius. (You can solve for the radius before or after you put the numbers in the formula.)
V = (4/3)πr³
36000π = 4/3πr³ . . . . put the numbers in the formula
27000 = r³ . . . . . . . . . multiply both sides by 3/(4π)
30 = r . . . . . . . . . . . . . .take the cube root
The radius of the sphere is 30 units.
Answer:
radius = 30 units
Step-by-step explanation:
The radius of the sphere is 30 units.
Answer pls. question in photo
Answers
Lydia is playing Galaxy 8RX. After three misses, the game is over. Last week, Lydia kept track of how long her games lasted. Hse msde a line plot of her data. Lydia said,"My best time is 2 3/4 minutes longer than my worst time because 4 1/4-1 1/2=2 3/4. Is subtraction the correct operation to compare Lydia's best and worst times?Explain. Are Lydia's calculations accurate?Show how you know. In the line plot, what do the numbers Lydia subtracted represent? Does Lydia's conclusion make sense? How did you decide? If not, what can you do to improve her reasoning?
Answers
Answer:
Yes ; Yes ; Yes it makes sense
Step-by-step explanation:
1.) Lydia used subtraction operator to define and establish a relationship between her best and worst game times ; Hence we could conclude that Lydia is correct as this gives the range between both times.
From the numbers given in the question as their is no graph attached :
4 1/4 - 1 1/2
17/4 - 3/2
(17 - 6) / 4
11 /4
= 2 3/4
The subtracted numbers represent the duration of each of the three times game was played ; Hence the numbers represents the game times.
Yes ; Her conclusion makes sense ; as she was able to deduce the range between her best and worst game time
A local boys club sold 156 bags of mulch and made a total of $596. It sold two types of mulch: hardwood for $4.00 a bag and pine bark for $3.75 a bag. How many bags of each kind of mulch did it sell?
Answers
we have two equations. I’ll call hardwood h, and pine bark p.
The number of bags: h + p = 156
The cost of the bags: 4h + 3.75p = 596
Start by solving the first equation for h in terms of p
h = 156 - p
Then substitute that in the other equation for h, and solve for a numerical value of p
4(156-p) + 3.75p = 596
624 -4p + 3.75p = 596
28 = 0.25p
p = 112
Now plug that in to the first equation to get the numerical value of h
h + p = 156
h + 112 = 156
h = 44
Check the math:
4(44) + 3.75(112)
176 + 420 = 596
Kayla's recipe needs 4 cups of milk and 6 cups of grated cheese. What is the ratio of the number of cups of milk to the number of cups of grated cheese in the recipe?
Answers
Answer:
4:6 or 2:3
Step-by-step explanation:
Let me know if this is correct!
A house cost $87,000 in 2008. By the year 2015, the home's value was $110,000. What was the growth rate for that 7-year period?
a)3.30%
b)3.40%
Answers
Answer:
3.30%
Step-by-step explanation:
HELP, i’m struggling
Answers
Answer:
x = 14
Step-by-step explanation:
(3x + 8) = (4x - 6)
3x + 8 = 4x - 6
+6 +6
3x + 14 = 4x
-3x -3x
14 = 1x
x = 14
plug 14 into the x, then solve it urself
Prism A is similar to Prism B. The volume of Prism A is 2790 cm3. What is the volume of Prism B?
21, 760 cm3
1360 cm3
680 cm3
340 cm4
Answers
Answer:
D
Step-by-step explanation:
pick the number that will make the following expression true.
Answers
Answer:
78 i believe
Step-by-step explanation:
Answer:
78
Step-by-step explanation:
Divide 27 by 100 and you will see it equals 0.27
knowing this made me realize that the unknown number must be the fraction form of 0.78
1/3 ( x - 10) = -4 ???
Answers
Answer:
[tex]x = - 2[/tex]
Step-by-step explanation:
1) Simplify 1/3 ( x - 10) to x-10/3.
[tex] \frac{x - 10}{3} = - 4[/tex]
2) Multiply both sides by 3.
[tex]x - 10 = - 4 \times 3[/tex]
Simplify 4 × 3 to 12.
[tex]x - 10 = - 12[/tex]
4) Add 10 to both sides.
[tex]x = - 12 + 10[/tex]
5) Simplify -12 + 10 to -2.
[tex]x = - 2[/tex]
So, therefor, the answer is, x = -2.
Um I’m so confused , help ?
