The tank will be empty in 32 minutes.
What is the point-slope form of a line?If m is the slope of the line that passes through the point (x₁, y₁), then the equation of the line is y - y₁ = m (x - x₁).
(a)
The table of values is given.
Rewrite the table of values as ordered pairs:
(5,108), (10,88), (15,68)
Since the difference between any two consecutive y values and the difference between any two consecutive x values is constant, the data shows a linear relation.
The slope of the line that passes through (5,108) and (10,88) is:
m = (88-108)/(10-5)
m = -4
The equation of the line with slope m = -4 and passes through (5,108) is:
y - 108 = -4(x - 5)
y = -4x + 20 + 108
y = -4x + 128 (1)
(b)
Substitute x = 0into equation (1):
y = - 4(0) + 128
y = 128
The tank is 128 ounces cleaner at the beginning.
(c)
Substitute y = 0 into equation (1):
0 = -4x + 128
4x = 128
x = 32
Therefore, the tank will be empty in 32 minutes.
Learn more about the point-slope form of a line:
https://brainly.com/question/29503162
#SPJ2
1. Identify the slope of the line and explain how you found it.
Answer:
the slope is -2/3
Step-by-step explanation:
rise over run
How far along a motorway would you travel if you drove at 70 mph for 4 hours
Answer:
280 miles
Step-by-step explanation:
in one hour, you would travel 70 miles because you are going at the speed of 70mph
so to find out how far you go in 4 hours you would multiply 70(mph)×4(hrs) which would be?
280 miles
Step-by-step explanation:
Distance=speed x time
Speed=70mph
Time=4 hours
Distance=70 x 4
Distance=280m
ABCD is a quadrilateral.
B.
С
A
D
AB = CD
Angle ABC = angle BCD.
Prove that AC = BD
Answer:
AC and BD are vertically oposite
and both sides are equal (equilateral) so AC = BD
As i think
Whats the answer for 2x + 1 + 7x ?
Answer:
9x+1
Step-by-step explanation:
combine 2x+7x then add the 1
Answer:
Seria 2x + 1 + 7x entonces 2x + 7x = 9x + 1 = 10x
I’ve been confused on this problem for awhile :(
Answer:
D 7, -12 is the answer hope this helps✌
Answer:
7, -12
Step-by-step explanation:
x^2+5x-84=0
(x-7)(x+12)=0
u have to always place the opposite for the answers
x= 7
x= -12
If you add the digits in a two-digit number and multiply the sum by 7, you get the original number. If you reverse the digits in the two-digit
number, the new number is 18 more than the sum of its two digits. What is the original number?
A. 42
B. 24
C. 64
D. 46
Е. 36
The answer is A. 42
Solution:
Let x= ones digit, y=tens digit
1st condition (original number) : 7(x+y)=10y + x
2nd condition (new number by reversing the digits): 18+x+y=10x+y
simplifying:
1st condition: 6x=3y
2nd condition: x=2
substituting x=2 to 6x=3y
y=4
Answer:
42
Step-by-step explanation:
The perimeter of a regular hexagon is 6x + 30. What is the length
of each side of the hexagon?
Answer:
x + 5
Step-by-step explanation:
This is actually rather simple to figure out. Simply divide 6x + 30 by 6. That should get x + 5 for the length of one side.
the figure shown consists of a triangle resting on a square of side 5 cm. the triangle has a height of 4 cm. what is the total area of the figure ?
Diego is building a patio deck. The length of the deck is (x + 8) feet. The width of the deck is (x + 3) feet. What is the simplest form expression for the perimeter of the deck?
Answer:
(4x + 22) feet
Step-by-step explanation:
Diego is building a patio deck. The length of the deck is (x + 8) feet. The width of the deck is (x + 3) feet. What is the simplest form expression for the perimeter of the deck?
A patio deck = Rectangular in shape
Hence:
The formula for the Perimeter of a rectangle = 2L + 2W
Where
L = Length
W = Width
The length of the deck is (x + 8) feet. The width of the deck is (x + 3) feet.
The perimeter of the deck =
2(x + 8)feet + 2(x + 3)feet
= (2x + 16) feet +( 2x + 6)feet
= (2x + 2x + 16 + 6) feet
= (4x + 22) feet
Therefore, the perimeter of the deck = (4x + 22) feet
9x³y – 6x²y² + 3xy⁵ factorize
Answer:
3xy (3x-2xy+y^4)
Step-by-step explanation:
Factor out 3xy from the expression
measure 1 and measure 2 are supplementary. if measure 1 equals (3x - 17) degrees in measure angle two equals (5x + 21) degrees find the value of x
Answer:
x = 23 degrees
Step-by-step explanation:
Supplementary angles add up to 180 degrees. Thus, 3x - 17 degrees plus al 5x + 21 deg must equal 180 degrees.
Combining like terms, we get 8x - 4 = 180, or 8x = 184.
Dividing both sides by 8 yields x = 184/8 = 23 = x (measured in degrees)
Frankie performed the following steps to solve the equation 2m^2-24m=-54 .
Answer:
2(m−9)(m−3)=0
Step-by-step explanation:
uhm idek if thats what youre asking
Convert 8 kilograms into ounces. Round your answer to the nearest whole number.
282 ounces
But the real answer without rounding it is 282.192 ounces
How would you write y = 2x - 3 in function notation? *
Answer:
f(x)=2x-3
Step-by-step explanation:
To write an equation in function notation change the y to an f(x). Then, if you plug something in for x also replace it in f(x). For example, if x=3 then the equation would be f(3)=2(3)-3.
solve this and show work
Answer:
1.71
Step-by-step explanation:
x/4 = 3/7
4 * 3 = 12
12/7 = 1.714285714285714
Rounded to the nearest hundreths, the answer is 1.71
PLEASEE help
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter. To the nearest inch, how many inches are in 5 meters? Enter the answer in the box. inches
The number of inches in 5 m is 196.85 inches
Conversion scale 2.54 cm = 1 inch100 cm = 1 mHow to convert 5 m to cm1 m = 100 cm
Therefore,
5 m = 5 × 100
5 m = 500 cm
How to convert 500 cm to inches2.54 cm = 1 inche
Therefore,
500 cm = 500 / 2.54
500 cm = 196.85 inches
Thus, there are 196.85 inches in 5 m
Learn more about conversion:
https://brainly.com/question/2139943
11b.) A sign in a bakery gives the following options. Find each unit price to the nearest cent, and show your reasoning. You can get 54 cupcakes for $137. What is the cost of ONE cupcake?
O $2.57
O $2.52
O $ 2.53
O $2.54
Answer:
Step-by-step explanation:
137/54=c/1
c=$2.537
c=$2.54 (to nearest cent)
Find the slope of the line
-2/1
1/2
-1/2
2/1
Answer:
1/2
Step-by-step explanation:
you the x and the y intercepts!
the X intercept is (4,0) and the Y intercept is (0,-2)
and in having those two intercepts, it made solving for the slope a whole lot easier!!!
heres what you do:
-2 - 0 = -2
0 - 4 = -4
and that can be simplified down to 1/2 :D
i wasn't quite sure what the numbers you put in the question were, so i just looked at the picture :D hope this helps!!!
Simplify.
(-4t^2+6t-2)+(t²+7t+3)
Answer:
(-4t^2+6t-2)+(t²+7t+3)
-4t²+6t-2+t²+7t+3
-4t²+t²+6t+7t-2+3
-3t²+13t+1
6*2/7[tex]6*2/7[/tex]
Answer:
[tex]\frac{12}{7}[/tex] or [tex]1 \frac{5}{7}[/tex]
Step-by-step explanation:
If your question was [tex]6[/tex] times [tex]\frac{2}{7}[/tex], you just turn the 6 into [tex]\frac{6}{1}[/tex], leave the [tex]\frac{2}{7}[/tex] as it is. Multiply: [tex]\frac{6}{1} *\frac{2}{7}[/tex] to get: [tex]\frac{12}{7}[/tex]. This can simplify to: [tex]1 \frac{5}{7}[/tex].
Hope it helps!
Answer:
[tex] \frac{6}{133} [/tex]
Step-by-step explanation:
[tex] \frac{6 \times 2}{76} \times \frac{2}{7} \\ = \frac{12} {76} \times \frac{2}{7} \\ = \frac{6}{19} \times \frac{1}{7} \\ = \frac{6}{133} [/tex]
find what x is 17+7x=x+5
Step-by-step explanation:
17+7x=x+5
6x=-12
x=-2
Hope it helps you
Answer:
x= -2
Step-by-step explanation:
6x= -12 (subract x on each side then 17 on each side)
x=-2 (divide each side by 6)
L
60°
2
70°
N
M
What is the measure of ZKPN?
O A 350
OB. 50°
C. 60°
O D. 65°
E. 70°
Answer:
ZKPN=LPN
60+70+?=180
60+70+50=180
Given:
f(x)=x²-5
s(x) = x² +5
5/4 = _____ ÷ _____ please help me
Answer:
1.25
Step-by-step explanation:
5 / 4 = 1.25
I hope this helps u! :D
Answer:
5 divided by 4
Step-by-step explanation:
Jasmine can type 675 words in 18 minutes. At the same speed, how many words can she type in 40 minutes?
Answer:
675/18=37.5
37.5×40=1500
Step-by-step explanation:
ANSWER 1500 HOPE THIS HELP:)
Answer:
1500 words
Step-by-step explanation:
675 divided by 18 will give you the speed which is 37.5
40 x 37.5 = 1500
What would happen if you subtracted the equation for x from the equation for 10x?
Answer:
9x
Step-by-step explanation:
If you have 10 x and you subtract one, you get left with 9 x.
Think of it as objects. You have 10 apples and someone takes an apple, what do you have left? 9.
Answer:
9x
Step-by-step explanation:
If you have 10 x and you subtract one, you get left with 9 x.
Think of it as objects. You have 10 apples and someone takes an apple, what do you have left? 9x = 3
a plane drives at a constant. speed it take 4 hours to travel 2,240 miles. what is the planes speed in miles per hour?
Answer: 560 mph
Step-by-step explanation:
Distance = rate*time
2,240 = rate*(4)
rate = 560mph
Tyrone spends $2 on ingredients for every $7 of revenue he collects selling
sandwiches at his shop. Tyrone collects $2100 selling sandwiches in a day. What
is Tyrone's PROFIT for the day?*
Cost ($)
Revenue ($)
2
7
2100
2+7+2100 it would be = $2,109
Identify the transformation that was applied to this letter
A. Rotation about the origin
B. Reflection over the x-axis
C. Translation
D. Reflection over the y-axis
Ariana found an awesome deal on a new backpack when she went back to school shopping bag bag originally cost be dollars but it was on sale for 75% off
1 - 0.75b
75b
0.25b
B - 0.75b
Answer:
try b-0.75b
Step-by-step explanation:
Cost of the bag after the discount is given by the equation A = B - 0.75B
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the cost of the bag be represented as B
Now , the equation will be
The discount percentage of the bag is = 75 %
So , the cost of the bag after discount = cost of the bag - ( cost of the bag x discount percentage )
Substituting the values in the equation , we get
The cost of the bag after discount = B - ( 75/100 ) B
On simplifying the equation , we get
The cost of the bag after discount = B - 0.75B
Hence , the equation is B - 0.75B
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2