Answer:
y = 45 - 3x
Step-by-step explanation:
Given that:
Bathtub drains at a constant rate :
Amount of water in tub after 3 minutes = 36 gallons
Amount of water in tub after 7 minutes later (3 + 7) ;(after 10 minutes) = 15 gallons
Using the slope - intercept relation:
y = mx + c
y = gallons in tub after x minutes
m = slope (rate at which water drains per minute)
C = intercept
Hence,
Amount of water in tub after 3 minutes = 36 gallons ; x = 3,; y = 36
Since water is draining gradient m is negative
36 = c - 3m - - - (1)
Amount of water in tub after 7 minutes later (3 + 7) ;(after 10 minutes) = 15 gallons
15 = c - 10m - - - (2)
Subtract (2) from (1)
21 = - 3m + 10m
21 = 7m
m = 3
From (1)
36 = c - 3(3)
36 = c - 9
36+ 9 = c
45 = c
Hence, the equation becomes ;
y = 45 - 3x
Pls help
Solve for P
Help me solve this problem please
Answer:
a² + b² + c² - 2ab + 2bc - 2ac
Step-by-step explanation:
Answer:
[tex]b=\frac{c+2}{a}\:[/tex]
Step-by-step explanation:
[tex]ab-c=2\\\\\add(c)\\\\ab=2+c\\\\divide(a)\\[/tex]
[tex]\frac{c+2}{a}\:[/tex]
Consider each graph shown. Determine the slope of each line
and then use similar triangles to justify that the slope is the
same between any two points.
Answer:
18,1,18
Step-by-step explanation:
The slope of a line from the given graph is 4 units.
From the given graph, vertical line (rise) = 16 and horizontal line (run) = 4.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
Now, slope = Rise/Run
⇒ slope = 16/4
= 4 units
Therefore, the slope of a line from the given graph is 4 units.
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Given the quadratic function y = x2 - 11x - 26, what interval
is this function negative.
A triangle has vertices at A(–2, 4), B(–2, 8), and C(6, 4). If A prime has coordinates of (–0.25, 0.5) after the triangle has been dilated with a center of dilation about the origin, which statements are true? Check all that apply.
Answer:
The scale factor is One-eighth
The coordinates of C prime are (0.75, 0.5).
The coordinates of B prime are (–0.25, 1).
Step-by-step explanation:
A triangle has vertices at A(–2, 4), B(–2, 8), and C(6, 4). If A prime has coordinates of (–0.25, 0.5) after the triangle has been dilated with a center of dilation about the origin, which statements are true? Check all that apply. The coordinates of C prime are (0.75, 0.5). The coordinates of C prime are (1.5, 1). The scale factor is One-eighth. The scale factor is 8. The scale factor is One-fourth. The scale factor is 4. The coordinates of B prime are (–0.25, 1). The coordinates of B prime are (–0.5, 2).
Solution:
Transformation is the movement of a point from its initial location to a new location. If an object is transformed then all its points are also transformed. Types of transformation are reflection, dilation, rotation and translation.
Dilation is the enlargement or reduction in size of an object. If a point X(x, y) is dilated about the origin by a factor k, its new location is X'(kx, ky)
Triangle ABC with vertices at A(–2, 4), B(–2, 8), and C(6, 4) is dilated to give A'(-0.25, 0.5)
kA = A'
(-2k, 4k) = (-0.25, 0.5)
-2k = -0.25, hence k = 1/8
Therefore the scale factor is 1/8 (one- eight)
The new location of the vertices is B'(-0.25, 1), C'(0.75, 0.5)
Answer:
a, c, and g
Step-by-step explanation:
just took the test on edge. hope this helps :)))
10 m = blank cm
answers
A 100
B 1,000
c 10
d 50
Answer:
B. 1,000
There is 100 cm in 1 meter. So 10x100=1000 :)
Write a story starting with the following lines. ( no romance included)
The hospital is stuffy and the air has an undertone of bleach. the walls are magnolia and are scraped in places from the hundreds of trolleys. that have bumped into them. The picture in the wall are cheap benign prints of uplifting scenes and above the double doors are large blue plastic signs with the areas of hospital lie ahead.
Answer:
The hospital is stuffy and the air has an undertone of bleach. the walls are magnolia and are scraped in places from the hundreds of trolleys. that have bumped into them. The picture in the wall are cheap benign prints of uplifting scenes and above the double doors are large blue plastic signs with the areas of hospital lie ahead.I was comig through the two doors to see my grandpa and he was bareley alive then I walked with him back through the blue doors with the sam stuffy feeling after I walked through then as we approached the surgery room he miraculously recovered and walked away and no knows how it happened. Too this day the hospital employees wonder how this had happened
A 40-degree angle is translated 5 inches along a vector. What is the angle measurement l, in degrees, of the image?
Answer:
20
Step-by-step explanation:
Never same bed rn he drum he’s gym next D
please help me with this
f (x)= x + 2
f (10) =
write an equation in slope intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (-7,-5);y= -4x+5)
Answer:
y=-4x-33
Step-by-step explanation:
Since the equation is parallel it will have the same slope which is -4
Now just plug in the points into the equation y=-4x+n
Plug them in and you get -5=-4(-7)+n
Then solve which will get you n=-33
Therefore the equation is y=-4x-33
look at pic and answer thanks
Step-by-step explanation:
3y/4 = 36
3y = 36 × 4
3y = 144
y = 48
Hence,
The value of y = 48.
can i get help on this please
Answer: X=18
Step-by-step explanation:
4. During a book sale, Alex sold 1 book for 55.00,
2 books for $4.50 each, and 4 books for $2.50 each.
Dana sold 3 books for $1.50 each and 2 books for
$5.00 each. What was the most frequently occurring
sale price for these 12 books?
(A) $2.50
(B) $4.00
(C) $4.25
(D) $4.50
(E) $5.00
Answer: A.) 2.50
Step-by-step explanation:
4 books sold for $2.50, which is the most books for one set price.
Carlita saw 5 times as many robins as she did cardinals while bird watching. She saw a total of 36 birds. How many more robins did she see than cardinals?
Answer: Calita saw 30 Robins and 6 Cardinals
Step-by-step explanation:
Step 1
writing the mathemathecal expression becomes
Let robins be represented as R
and Cardinals be represented as C
so our first equation becomes
R+C = 36----- eqn 1
but she saw 5times as many robins as cardinals, with a total of 36 birds making us have
Therefore R= 5C
5C +C= 36------- eqn 2
STEP 2--- solving equation 2
5C+C = 36
6C= 36
C= 36/6=6
Puting the valueof C=6 in equation 1 becomes
R+C= 36
R+6=36
R=36-6= 30
R=30
Therefore Calita saw 30 Robins and 6 Cardinals
Choose the model that verifies the quotient
1
5
÷ 5.
An area model with 1 shaded part and 4 unshaded parts.
An area model with 5 shaded parts and 20 unshaded parts.
An area model with 5 separate shaded parts.
An area model with 5 shaded parts.
Answer:
An area model with 1 shaded part and 4 unshaded parts.
Step-by-step explanation:
15 ÷ 5 area model
____2_+__1___=3
5 | 10 5
Answer:
An area model with 5 shaded parts and 20 unshaded parts.
Step-by-step explanation:
alck helped me with this
An object is dropped off a cliff and falls freely. It speeds up as it falls toward the ground.
The graph below shows the velocity in meters per second (m/s) of the object (denoted by the vertical axis) as a function of time in seconds (denoted by the horizontal axis). Note that the relationship is linear.
This relationship is given by the equation, v = gt. In this equation, g is the acceleration due to gravity, t is the number of seconds, and v is the velocity of the falling object. Note that g is a constant.
Find and interpret the meaning of the initial value and the rate of change in this context.
Answer:
The initial value is 0. That means that object’s initial velocity 0 m/s. The rate of change is 9.8. That means the acceleration due to gravity is 9.8 m/s 2.
Hope this helps :)
Write a linear equation that is solved by both (-6,2) and (0,-4)
The linear equation that is solved by both (-6,2) and (0,-4) is y = -x - 4
Using the slope intercept formula for linear equation,
y = mx + bwhere
m = slope
b = y-intercept
Therefore, lets find m
(-6,2) and (0,-4)
m = -4 - 2 / 0 - (-6) = -6 / 6 = - 1
Lets find b using (0,-4)
y = mx + b
-4 = -1(0) + b
b = -4
There the linear equation in slope intercept form will be as follows
y = -x - 4read more: https://brainly.com/question/17545515?referrer=searchResults
Determine the unit rate
24 pencils in 8 jars =
pencils per jar
Answer:
3 pencils per jar
hope it helps you
The number of pencils in each jar will be 3.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that there are 24 pencils in 8 jars. The number of pencils in each jar will be calculated as,
Number = Number of pencils / Number of the jars
Number = 24 / 8
Number = 3 Pencils
Hence, there will be 3 pencils in each jar.
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what is the value of 4 in the number 546210 write your answer in numbers
Answer:
40000
Step-by-step explanation:
Answer:
The value of 4 is 40,000
Step-by-step explanation:
Can I have brainliest?
which expression is equivalent to f(x)=3x+2
Hurry pls I need to fine the difference of the equation
Answer:
i think it is 12-4i
Step-by-step explanation:
since the negative multiples if everything in the second brackets if i remeber
so it is
5+7
and
8-12
Answer:
C: 12 - 4i
Step-by-step explanation:
when you subtract two phrases its the same as when you add two mathematical phrases by combining like terms except you distribute the - sign into the parenthesis so the signs flip.
hope this helps :))
Someone please answer both part a and b i would appreciate is SO MUCH
Answer:
Look at explanation.
Step-by-step explanation:
a.
<ACD and <DCA
b.
90 = m<1 + m<2
90 = 2x + x
90 = 3x
x = 30
Plug back into angles:
m<1 = 2x
m<1 = 60 degrees
m<2 = x
m<2 = 30 degrees
Which of the following is the best example of vestigial structures?
O thick fur on a polar bear
sharp beaks on a bird
O wings of a dragonfly
O wisdom teeth in humans
Plsssss helppp!!!!!!
Answer:
it the last one
Step-by-step explanation:
You are buying a pair of sneakers for $ 120. You have a coupon to save 45 %. How much will the sneakers cost ?
Answer:
$66
Step-by-step explanation:
→ Work out 45% as a multiplier
100 - 45 = 55 ⇒ 55 ÷ 100 = 0.55
→ Multiply the multiplier by the price
0.55 × 120 = $66
Answer:
54
Step-by-step explanation:
120 times 45 equals 5400 divided by 100 equals $54
An inequality is solved as shown below. Between which two steps is an error made?
Answer:
a
Step-by-step explanation:
because youre supposed to multipy -3 by 2 and that gives you -6 not positive 6
Which price choice has the lowest unit price per ounce?
Choice A: 6 ounces of raisins for $2.98
Choice B: 13 ounces of raisins for $7.18
Answer: A
Step-by-step explanation:
1. Divide the price of the raisins by the ounce
__
2.98 / 6 = .496
7.18 / 13 = .5523
2. round to the nearest hundredth
.50
.55
3. The lowest unit cost is your answer
If t(1) = 11 and t(3) = 17, then which value below is NOT part of the arithmetic sequence? 23 96 56 74
Answer:
96
Step-by-step explanation:
It appears that the rate of change for this sequence is +3 because since t(1) = 11 and t(3) = 17, it would make sense that t(2) = 14.
From there you can use a calculator and start from 17 and keep adding 3 until you notice a number that doesn't belong in the sequence.
Hope this helps! I apologize if I'm incorrect
Please help me out with this
Answer:
the Fourth One
Step-by-step explanation:
anyone knows this cuz i need help!?
Answer:
I think its D
Step-by-step explanation:
im not sure correct me if im wrong thanks
Answer:
C
Step-By-Step explanation:
Yes, the square root of 12 is irrational.
