Answer:
x = 11Step-by-step explanation:
The equation represents as:
285 − 5x = 340 − 10x
combine similar terms:
285 - 340 = 5x - 10x
simplify:
-55 = -5x
divide -5 on both sides:
x = 11
The graph shows the amount of water that remains in a barrel after it begins to leak. The variable x represents the number of days that have passed since the barrel was filled, and y represents the number of gallons of water that remain in the barrel.
What is the slope of the line?
A. -2
B. -1/2
C. 7/16
D. 39/30
A = ( 15 , 15 )
B = ( 6 , 33 )
[tex]slope = \frac{y(b) - y(a)}{x(b) - x(a)} \\ [/tex]
[tex]slope = \frac{33 - 15}{ 6 - 15} \\ [/tex]
[tex]slope = \frac{18}{ - 9} \\ [/tex]
[tex]slope = - 2[/tex]
Thanks for watching buddy good luck.
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Answer:
A. -2
Step-by-step explanation:
took the test :))
9 increased by the quantity of b added to 10
Answer:
19b + 10
Step-by-step explanation:
Here, we want to increase 9 by the quantity of b added to 10.
We proceed as follows;
9 increased by quantity of b is 9 + b
This added to 10 would be 9 + b + 10 = 19b + 10
A line passes through the points (-2, 9) and (1, 3).
provide work for calculating the slope and y-intercept. Then, write the equation for the line in slope-intercept form.
Finding slope: y2-y1/x2-x1
3-9/1+2
=-6/2
Divide 2 from both
=-3/1 or -3
Slope= -3
Finding y-intercept= y=mx+b
Choose any point on the line to plug in the x and the y then plug in the slope.
I choose (1,3)
3=-3×1+b
3=-3+b
Add 3 to both sides
6=b
Y-intercept=6
Equation: y=-3x+6
5. What is the total cost of 4.3 pounds of flour at $1.10 per pound and 0.5 pounds of baking soda at $0.82 per pound?
Answer:
$4.73 for the flour and $0.41 for the baking soda $5.14 together
Step-by-step explanation:
Answer: .....
Step-by-step explanation:
Hurry Please!
A recipe uses 3 eggs for every 8 cups of fiour What is the ratio of eggs to fiour in the recipe? 8 to 3 3/8 3 to 11 8:3
Answer:
3:8
Step-by-step explanation:
how do you find the range for a continuous graph
Answer:
The independent quantity is normally plotted on the horizontal (x) axis - which means that the points in the x coordinate are the domain. Since the dependent quantity is normally plotted on the vertical (y) axis, the y-coordinates make up the range.
i hope this helped
Step-by-step explanation:
50 POINTS
What is the smallest value of x that makes this inequality true?
2/3(4x-1)-6 is greater than or equal to, 7-(2x+9)
Answer:
it may be helpful for youAnswer:
x = 1 is trueStep-by-step explanation:
2/3(4x - 1) - 6 ≥ 7 - (2x + 9)
remove parenthesis:
2/3*4x - 2/3*1 - 6 ≥ 7 - 2x + 9
simplify:
8x/3 - 2/3 - 6 ≥ 2x - 2
combine similar terms:
8x/3 + 2x ≥ -2 + 2/3 + 6
simplify 14/3x ≥ 14/3
finally x = 1 is true
An electronics superstore normally sells a new smartphone for $200, but it is currently offering a 50% discount off the price. The same phone is available online for $200; the website is offering 25% off the phone, plus another 25% discount off all purchases. Where should you buy the phone to get the better deal? Why?
Answer: They are equal, but if you are buying something else with it,, say a case, the website
Step-by-step explanation:
Website:
1/4 +1/4 = 1/2
Store:
1/2
Answer:
the 50% off is the better deal
Step-by-step explanation:
200 x .50= 100 so on the first phone you save $100
the website you get 25% off so .25 x 200=50 so 200 - 50 =150 then you get another 25% off .25 x 150 =37.50 so 150 - 37.50 = 112.50.
Simplify the expression
Answer:
[tex]2[/tex]
Step-by-step explanation:
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition SubtractionStep 1: Write expression
[tex]\frac{12/2(3)}{3(3)}[/tex]
Step 2: Evaluate
Divide: [tex]\frac{6(3)}{3(3)}[/tex]Multiply: [tex]\frac{18}{3(3)}[/tex]Multiply: [tex]\frac{18}{9}[/tex]Divide: [tex]2[/tex]Write the equation of the line that passes through the points (-6,-4) (6,-9) Put your answer in fully reduce points out form unless it is a vertical or horizontal line
Answer:
[tex] 5x + 12y = -78 [/tex]
or
[tex] y = -\dfrac{5}{12}x - \dfrac{13}{2} [/tex]
Step-by-step explanation:
[tex] y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1) [/tex]
[tex] y - (-4) = \dfrac{-9 - (-4)}{6 - (-6)}(x - (-6)) [/tex]
[tex] y + 4 = \dfrac{-9 + 4}{6 + 6}(x + 6) [/tex]
[tex] y + 4 = \dfrac{-5}{12}(x + 6) [/tex]
[tex] 12y + 48 = -5x - 30 [/tex]
[tex] 5x + 12y = -78 [/tex]
[tex] 12y = -5x - 78 [/tex]
[tex] y = -\dfrac{5}{12}x - \dfrac{13}{2} [/tex]
Answer:
[tex] 5x + 12y = -78 [/tex]
or
[tex] y = -\dfrac{5}{12}x - \dfrac{13}{2} [/tex]
A coyote population has decreased by 168 over the past 3 years. The same number of coyotes were lost each year. Which division expression gives the change in the coyote population each year? A) 168 3 B) 168 −3 C) −168 3 D) −168 −3
Answer:
C, [tex]\frac{-168}{3}[/tex]
Step-by-step explanation:
The number of coyotes is decreasing, which makes it negative, but you can't have a negative year, so the answer must be [tex]\frac{-168}{3}[/tex]
For what value(s) of k will the given relation not be a function?
M = { (15k+9, 4), (3·(4k−1), 6) }
Enter all possible values of k
Given:
The relation is
[tex]M = \{ (15k+9, 4), (3\cdot (4k-1), 6) \}[/tex]
To find:
The value of k for which the relation is not a function.
Solution:
A relation is a function if their exist a unique output or y value for each input or x values.
A relation is not a function if it has two y-values for single x value.
So, the given relation is not a function if x-coordinates of both ordered pairs are equal.
[tex]15k+9=3\cdot (4k-1)[/tex]
[tex]15k+9=12k-3[/tex]
Isolate variable terms.
[tex]15k-12k=-9-3[/tex]
[tex]3k=-12[/tex]
Divide both sides by 3.
[tex]k=-4[/tex]
Therefore, the given relation is not a function for k=-4.
An image of a book shown on a website is 3 inches wide and 4.5 inches tall on a computer monitor. The actual book is 9 inches wide. what is the scale
thank you if you answer im dumb
Answer:
It Depends
Step-by-step explanation:
If the image is the scale, the answer is 1/3, since its width of 3 is 1/3 the width of the actual book.
If the book is the scale, the answer is 3, since its width of 9 is 3 times the width of the image.
Find the value of a and b need help ASAP
Answer:
Step-by-step explanation:
<a = 85° ( Vertically Opposite Angles )
<b = 180 - 85 = 95° ( Adjacent Angles )
Hope this helps
Plz mark as brainliest!!!!!!!!
Answer:
<a=85
<b=95
Step-by-step explanation:
<a is going to be the same as the other angle is across from it. So <a equals 85 degrees. So now since we know that two parts are 85 degrees we add 85 + 85 and we get 170 degrees. Since the whole thing is 360 degrees we need to subtract the 170 degrees that we already have. So 360-170 is equal to 190 degrees. Now since <b is the same as the angle across from it is we just need to divide the remaining degrees in half. So we take the 190 degrees and divide that in half. When you divide that in half you get 95 degrees. So <b is 95 degrees.
What will be the equation of a line that is
parallel to y=-X+6 and passes through the
point (-3,1)
Answer:
y=x+4
Step-by-step explanation:
Solve with the point-slope formula: y-y1=m(x-x1). The line is parallel; both slopes are equivalent. Plug in the coordinates we have into the formula, along with the slope from the original equation (-1). To check, we can plug the coordinates back into the equation.
y-(1)=-1(x+3)
y-1=x+3
y=x+4
Check:
(1)=(-3)+4
1=1
Simplify . Explain your steps.
Answer:
x^2
Step-by-step explanation:
=(x^3/x^2)^2
=(x^3/x^2)*(x^3/x^2)
=x^3*x^3/x^2*x^2
3/9+2/9=?/9
Help a brother out
Answer:
5/9
Step-by-step explanation:
Answer:
okay this is easy its 5/9
A box contains 21 green marbles. Green
marbles make up 15% of all the marbles
in the box. How many total marbles are in
the box?
8
HELP ASAP! PLZZ
Answer:
pts
Step-by-step explanation:
5 fre pts :))))
Please someone help me solve this!! <33
Answer:
Jedi light saber: 6 ftDarth light saber: 5 ftStep-by-step explanation:
Given
a = 37b = 63c = 16Find
The length of each light saber, rounded up to the nearest foot.
Solution
The attached scale drawing shows the triangles with the angles and sides filled in.
The angle at the Jedi's hand is 2a = 2(37°) = 74°. If L represents the Jedi's light saber length, then the cosine relation is useful:
Cos = Adjacent/Hypotenuse
cos(74°) = (1.4 ft)/L
L = (1.4 ft)/cos(74°) ≈ 5.08 ft
Rounded up to the nearest foot, the Jedi's light saber is 6 ft long.
__
The angle at Darth's hand is ...
5c = 5(16°) = 80°
and the length of the opposite side is ...
b/14 = 63/14 = 4.5 . . . feet
The sine relation is useful here. If L represents Darth's light saber length, then ...
Sin = Opposite/Hypotenuse
sin(80°) = (4.5 ft)/L
L = (4.5 ft)/sin(80°) ≈ 4.57 ft
Rounded up to the nearest foot, Darth's light saber is 5 ft long.
Complete the square to write 16t^2-96+48=0 as
Answer:
(T-3)2=6
Step-by-step explanation:
please help!!!!! I don't understand
Answer:
d=75° e=28° f=77°
Step-by-step explanation:
The angle of a straight line is 180°
If you subtract the 2 angles you know(which are equal to d and e), you're left with the missing angle measurement of 77°
find the zeros of the equation 4x²-3x+9=2x+1
Answer:
Step-by-step explanation:
Find the distance between the points 7,-1 and -2,4
Answer:
VVV
Step-by-step explanation:
The difference in x coordinates is 11, and the difference in y coordinates is 9. 11*11 + 9*9=202, so the answer is [tex]\sqrt{202}[/tex].
What percent of 80 is 8
Answer:
P = 10%
Step-by-step explanation:
Of means multiply and is means equals
P * 80 = 8
Divide each side by 80
P = 8/80
P = .1
Change to percent form
P = 10%
Answer:
Hi sorry
Step-by-step explanation:
sorry bhai plzzzzxxxxxxzzzzzzzzzzzzzzzztry ur best
in whichvpair of figures can Figure A be taken to Figure B by a rotation?
Pair 1 is the correct answer
what is 6.7 x 10 to the power of 1 in standard form
Answer: 6.7 x 10^1 = 67
Step-by-step explanation:
move the decimal point once, to the right.
Katie has a doll house that is a small model of a real Victorian house. The real house has a rectangular window that measures 65 centimeters long by 45 centimeters wide. The length of the window in Katie's house is 13 centimeters long. How wide is the window in Katie's house?
Answer:
9
Step-by-step explanation:
65/13=5
45/5=9 The answer is 9
help someone pls !!!
Answer:
its A
Step-by-step explanation:
Luca had a large container of yogurt with 1 and StartFraction 5 Over 8 EndFraction pounds of yogurt left in it. If a serving of yogurt is StartFraction 3 Over 8 EndFraction of a pound, to the nearest whole serving, how many servings of yogurt are in the container? 1 serving 2 servings 4 servings 5 servings
Answer:
4 servings
Step-by-step explanation:
Yogurt in the container = 1 5/8 pounds
A serving = 3/8 pounds
how many servings of yogurt are in the container?
Servings in the yogurt container = total yogurt in the container / yogurt per servings
= 1 5/8 ÷ 3/8
= 13/8 × 8/3
= 13/3
= 4.33
To the nearest whole serving
= 4 servings
Answer:
C
Step-by-step explanation:
Triangle ABC has vertices at A(-3, 1), B(2, -4), and C(1, 5). It is translated 2 units right and 3 units down to form triangle A’B’C’. A'B'C' is then reflected over the line y = x to form triangle A''B''C''. What are the vertices of triangle A’'B’'C’'? A. A''(2, 1), B''(7,-4), C''(-2, 3) B. A''(2, -1), B''(7,4), C''(-2, -3) C. A''(-1, -2), B''(4,-7), C''(-3, 2) D. A''(-2, -1), B''(-7,4), C''(2, 3)
The vertices of triangle A''B''C'' are A''(-2, -1), B''(-7, 4), and C''(2, 3).
Thus, option (D) is correct.
1. Translation: The original triangle ABC is translated 2 units to the right and 3 units down to form triangle A'B'C'.
To translate a point (x, y) by (a, b), the new coordinates become
(x + a, y + b).
The coordinates of A' would be:
A' = (-3 + 2, 1 - 3) = (-1, -2)
The coordinates of B' would be:
B' = (2 + 2, -4 - 3) = (4, -7)
The coordinates of C' would be:
C' = (1 + 2, 5 - 3) = (3, 2)
2. Reflection over y = x:
Triangle A'B'C' is reflected over the line y = x to form triangle A''B''C''.
To reflect a point (x, y) over the line y = x, the new coordinates become (y, x).
The coordinates of A'' would be:
A'' = (-2, -1)
The coordinates of B'' would be:
B'' = (-7, 4)
The coordinates of C'' would be:
C'' = (2, 3)
Therefore, the vertices are A''(-2, -1), B''(-7, 4), and C''(2, 3).
Thus, option (D) is correct.
Learn more about Translation here:
https://brainly.com/question/17052587
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