9514 1404 393
Answer:
x = 3/4 or 14
Step-by-step explanation:
Assuming your equation is ...
|5x -17| = |3x +11|
it can be rewritten as two equations:
5x -17 = -(3x +11)
5x -17 = 3x +11
__
The solution to the first of these is ...
5x -17 = -3x -11
8x = 6 . . . . . . . . add 3x+17
x = 6/8 = 3/4 . . . divide by 8
The solution to the second equation is ...
5x -17 = 3x +11
2x = 28 . . . . . . . . add 17-3x
x = 14 . . . . . . . . . . divide by 2
The solutions are x = 3/4 or x = 14.
The price of a gallon of unleaded gas has risen to $2.86 today. Yesterday's price was $2.81. Find the percentage increase. Round your answer to the nearest tenth of a percent.
Answer:
1.8%
Step-by-step explanation:
2.86-2.81 = .05 (find the difference between the two numbers)
2.81 / .05= .017 (divide the original number)
Multiply 100 to get a percentage
1.8% (rounding to the nearest tenth)
A package of 4 pairs of insulated socks costs $22.36 . What is the unit price of the pairs of socks ?
Answer:
5.59
Step-by-step explanation:
22.36/4 = 5.59
hope this helps!
A cookie contains 9 grams of fat. If you eat no fewer than 4 and no more than 7 cookies, how many grams of fat will you
consume?
compound inequality
Step-by-step explanation:
Since each cookie has 9 grams of fat, four cookies would contain 4*9 = 36 grams of fat.
Also nine cookies has 7*9 = 63 grams of fat.
So the number of grams consumed will be at least 36 and no more than 63.
The number of grams consumed will be; at least 36 and no more than 63.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We have been given that cookie contains 9 grams of fat and eat no fewer than 4 and no more than 7 cookies, then;
Since each cookie has 9 grams of fat, four cookies would be;
4 x 9 = 36 grams of fat.
Also, the nine cookies have 7 x 9 = 63 grams of fat.
Therefore, the number of grams consumed will be; at least 36 and no more than 63.
To learn more about the unitary method, please visit the link given below;
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Can someone please help me asap I’ll mark brainlist!!!!!
Answer:
No because the aren’t equalll
Step-by-step explanation:
Is this ggod
Answer:
No
Step-by-step explanation:
32/4 = 8
72/10 = 7.2
HELP AGLEBRA 2 LOTS OF POINTS
I need help on this Exponent rules maze, please show your work so I can understand what I did wrong
Step-by-step explanation:
In a video game, players form teams and work together to earn as many points as possible for their team. Each team can have between 2 and 4 players. Each player can score up to 20 points in each round of the game. Han and three of his friends decided to form a team and play a round. Match each expression or inequality to the quantity that it represents.
Answer:
20 times 4
Step-by-step explanation:
Han's team has 4 players.
A perfect score is the maximum possible score. Each player can score up to 20 points in each round, so 20 points is the maximum score.
If each of the 4 players scores 20 points, then the total score for the team is:
20 *4
That is the expression for the team's points.
Answer: 20*4
Based on the results of student voting shown here, which number completes this headline for the school newspaper?
Only_____ % of Students Voted for Hearts and Flowers Theme for Spring Dance
Answer:
5
Step-by-step explanation:
just took the box/ test
A tennis racket normally cots $70. The tennis racket is on sale for 40% off. What is the sale price of the tennis racket?
Answer:
$42
Step-by-step explanation:
Answer:
$42
Step-by-step explanation:
To find the sale price of the tennis racket, multiply the original price by 0.6:
70(0.6)
= 42
So, the sale price of the tennis racket is $42
Jack and Jill are saving for their first car. Jack saves $7 for
every $10 Jill saves. If Jill has $350 in her savings account,
then how much has Jack saved?
Answer:
Jack has saved $245.
Step-by-step explanation:
You divide $350 by $10, and you get 35. Then multiply Jack's $7 by 35 and you get $245!
Hope this has helped you! :)
Happy Halloween!~
show your work
7(x-8)=2x-31
Answer:
x=5
Step-by-step explanation:
7 (x-8)=2x-31
Distribute the 7 to the x and -8 (basically multiple 7 with the x and -8)
7x-56=2x -31
Drag the 2x over to the other subtracting it from 7x.
7x-2x-56=-31
5x-56=-31
Drag the 56 to the other side and add it to -31
5x= -31+56 (or 56-31)
5x= 25
Divide 5x from 25 to get your X
x=25/5
x=5
Hope this helps!!
Solve the equation: 9 - 4x = 17
A.X = 4
b.X=-4
C.X = 2
D.X = -2
Answer:
x= -2
Step-by-step explanation:
so D is the answer
Answer:
[tex]\boxed {x = -2}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]9 - 4x = 17[/tex]
-Subtract both sides by [tex]9[/tex]:
[tex]9 - 9 - 4x = 17 - 9[/tex]
[tex]-4x = 8[/tex]
-Divide both sides by [tex]4[/tex]:
[tex]\frac{-4x}{-4} = \frac{8}{-4}[/tex]
[tex]\boxed {x = -2}[/tex]
Therefore, value of [tex]x[/tex] is [tex]-2[/tex].
What is the equation of the line through the origin and (2,5)?
A. y = 5/2x
B. y = 2/5x
C. y= 2x
D. y = 5x
Answer:A
Step-by-step explanation:
Rise over run is whats needed in the answer. Since you have a point running through the origin, the slope (5/2) is provided
What is the equation for this line?
Answer:
The equation of the line is y = 2x - 3
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slope of the line, [tex]m=\frac{y2-y1}{x2-x1}[/tex] b is the y-intercept (value y at x = 0)Let us take two points on the line to find its equation
∵ Points (3, 3) and (0, -3) lie on the line
∴ x1 = 3 and y1 = 3
∴ x2 = 0 and y2 = -3
→ Use the rule of the slope above to find m
∵ [tex]m=\frac{-3-3}{0-3}=\frac{-6}{-3}=2[/tex]
∴ m = 2
→ Substitute its value in the form of the equation above
∴ y = 2x + b
∵ b is the value of y at x = 0
∵ y = -3 at x = 0
∴ b = -3
→ Substitute it in the equation above
∴ y = 2x + -3
→ Remember (+)(-) = (-)
∴ y = 2x - 3
∴ The equation of the line is y = 2x - 3
Write and equation for a line perpendicular to 3y+15x=-12 and passing through the point (5,6)
Step-by-step explanation:
I am not sure sorry for doing it Innist need points
what is the sum of zeros of the equation (m-10)(6m-1)=0. Ancwer your question as a fraction
PLSSS SOMEONE ANCWEE THISS BEGGINGG.
Answer:
The sum of zeros is [tex]\frac{61}{6}[/tex]
Step-by-step explanation:
The Rule of Zero Product
The rule of zero product states that the product of two nonzero elements is nonzero. It can be written as the following assertion:
If a.b=0, then a=0 or b=0
The equation
(m-10)(6m-1)=0
can be solved by applying the mentioned rule:
[tex]m-10=0 \ \ \Rightarrow m=10[/tex]
[tex]6m-1=0 \ \ \Rightarrow m=1/6[/tex]
The sum of both solutions is:
[tex]\displaystyle 10+\frac{1}{6}=\frac{61}{6}[/tex]
The sum of zeros is [tex]\mathbf{\frac{61}{6}}[/tex]
Select the correct answer. Given: ∆ABC Prove: A midsegment of ∆ABC is parallel to a side of ∆ABC. Statement Reason 1. Define the vertices of ∆ABC to have unique points A(x1, y1), B(x2, y2), and C(x3, y3). given 2. Let D be the midpoint of and E be the midpoint of . defining midpoints 3. definition of midpoints 4. slope of slope of definition of slope 5. slope of = slope of Transitive Property of Equality 6. definition of parallel lines 7. Let F be the midpoint of . defining a midpoint 8. definition of midpoint 9. slope of slope of definition of slope 10. 11. definition of parallel lines 12. Similarly, is parallel to . steps similar to steps 1−11 What is the missing step in this proof? A. Statement: slope of = slope of Reason: definition of slope B. Statement: slope of = slope of Reason: Transitive Property of Equality C. Statement: DF = BC Reason: Corresponding sides of congruent triangles are congruent. D. Statement: ∆ADF ≅ ∆ABC Reason: ASA
Answer:
B) Statement: slope of df = slope of bc
Reason: Transitive Property of Equality
Step-by-step explanation: i just took the test.
Answer:
C. Transitive Property of Equality
Step-by-step explanation:
Rewrite in simplest terms: -7(2u-6v)-7v-3(10v+u)
Answer:
11v+35v-30
Step-by-step explanation:
Point A has coordinates (3,4). After a translation 4 units left, a reflection across the x-axis, and a translation 2 units down, what are the coordinates of the image?
Answer:
The coordinates of the image of point A are (-1, -6)
Step-by-step explanation:
Let us revise the rule of translation to the left, down, and reflection across the x-axis
If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)If the point (x, y) reflected across the x-axis, then its image is (x, -y), the rule of reflection is rx-axis (x, y) → (x, -y)∵ The coordinates of point A are (3, 4)
∵ It is translated 4 units left
∴ h = 4
→ By using the 1st rule above
∴ Its image is (3 - 4, 4)
∴ Its image is (-1, 4)
∵ Its is reflected across the x-axis
→ By using the 3rd rule above change the sign of its y-coordinate
∴ The new image is (-1, -4)
∵ It is translated 2 units down
∴ k = 2
→ By using the 2nd rule above
∴ The final image is (-1, -4 - 2)
∴ The final image is (-1, -6)
∴ The coordinates of the image of point A are (-1, -6).
Sketch the graphs:y =1/3x + 2
Answer:y
=
1
3
x
+
2
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
1
3
y-intercept:
2
Any line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
Tap for more steps...
x
y
0
2
3
3
Graph the line using the slope and the y-intercept, or the points.
Slope:
1
3
y-intercept:
2xy0233
Rebekah lives on a large, rectangular-shaped property that has a length 500 m and a width of 200 m. If it takes Rebekah 420 s to run the entire perimeter of her property, what is her average speed in meters per second rounded to the nearest hundredth?
Answer:
3.33m/s
Step-by-step explanation:
The perimeter of a rectangle is
= 2(L + W)
L = 500m
W = 200m
= 2(500 + 200)
= 2(700)
= 1400m
If it takes Rebekah 420 s to run the entire perimeter of her property.
Her average speed in meters per second rounded to the nearest hundredth is = Distance/Time
= 1400m/420s
= 3.3333333333 m/s
Approximately = 3.33m/s
Which expression is equivalent to x−2y ?
Answer:
-2y+x
Step-by-step explanation:
x-2y
-2y+x
Answer:
x+2y+x+2
=2x+2y+2
=2(x+y+1)
Step-by-step explanation:
i hope its right
is so eassy 2 puls 2
Answer:
4
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
evaluate 24−8x when x=−2
Answer:
8
Step-by-step explanation:
8
Is the expression 42 undefined? If not, find
the quotient.
-7
Answer:
-6*-7=42 wdym as in undefined
Step-by-step explanation:
A food store makes a 10-pound mixture of peanuts, cashews, and raisins. The mixture has twice as many peanuts as cashews. Peanuts cost $1 per pound, cashews cost $2 per pound, and raisins cost $2 per pound. The total cost of the mixture is $16. How much of each ingredient did the store use to make the mixture?
I know the equations are likely
X = Peanuts
Y = Cashews
Z = Raisins
X + 2Y + 2Z = 16
2Y = X
X + Y + Z = 10
Answer:
The number of pounds peanuts = x = 4 pounds
The number of pounds cashews = y = 2 pounds
The number of pounds raisins be equal to z = 4 pounds
Step-by-step explanation:
The number pounds of the mixture = 10
Let the number of pounds peanuts = x
Let the number of pounds cashews = y
Let the number of pounds raisins be equal to z
Hence,
x + y + z = 10
The mixture has twice as many peanuts as cashews.
2y= x
= 2y + y + z = 10
= 3y + z = 10
z = 10 - 3y
Peanuts cost $1 per pound, cashews cost $2 per pound, and raisins cost $2 per pound. The total cost of the mixture is $16.
x × $1 + y × $2 × z × $2 = $16
x + 2y + 2z = 16......Equation 2
We Substitute.(2y = x), (z = 10 - 3y)
2y + 2y + 2(10 - 3y) = 16
4y + 20 - 6y = 16
20 - 16 = 6y - 4y
4 = 2y
y = 4/2
y = 2 pounds
z = 10 - 3y
z = 10 - 3(2)
z = 10 - 6
z = 4 pounds
2y= x
2(2) = x
x = 4 pounds
How much of each ingredient did the store use to make the mixture?
The number of pounds peanuts = x = 4 pounds
The number of pounds cashews = y = 2 pounds
The number of pounds raisins be equal to z = 4 pounds
Please someone help me with this! Math
Answer:
4,1
Step-by-step explanation: Due to the segment only needing a length of 4 units, if you add 4 units to your y, it will get you y=1
The slope between (250,120) and (300,90)
m = − 3/ 5 your welcome
Answer:I think it's -3/5
Step-by-step explanation:mhm
EXPLAIN HOW YOU GOT 3 AND 4 WITH STEPS PLS ITS URGENT
Answer:
2. x=25°
3. x=15°
4. x=26°
Step-by-step explanation:
For problem 2, we know the sum of the angles of a triangle is 180°. Also, supplementary angles are 180°.
30+20+x=180 [combine like terms]
50+x=180 [subtract both sides by 50]
x=130
Now that we have the missing angle, we can use that to solve for x.
2x+130=180 [subtract both sides by 130]
2x=50 [divide both sides by 2]
x=25°
Now, we know that x=25°.
For problem 3, we know the sum of the angles of a triangle is 180°. This means, we add all the angles together and get 180°.
8x+25+2x+5=180 [combine like terms]
10x+30=180 [subtract both sides by 30]
10x=150 [divide both sides by 10]
x=15°
Now, we know that x=15°.
For problem 4, we know the sum of the angles of a triangle is 180°. This means, we add all the angles together and get 180°.
x+12+52+90=180 [combine like terms]
x+154=180 [subtract both sides by 154]
x=26°
Now, we know that x=26°.
Answer:
3. x = 5 4. x = 26
Step-by-step explanation:
3.
(2x + 5) + 8x + 25 = 180
10x +30 = 180
10x = 150
x = 15
4.
52 + 90 + x+12 = 180
52 + 90 + 12 = 142
x + 142 = 180
x = 180 - 154
x = 26
Which matrix represents the solution to the system of equations below?
2a+b+c=2
-a+b-C=-4
a-2b+2c= 6
Answer:
A!
Step-by-step explanation:
Edge 2021 :)
The solution to the system of equations is a=2, b=-2 and c=0
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equations are
2a+b+c=2 ...(1)
-a+b-C=-4 ...(2)
a-2b+2c= 6 ...(3)
Isolate a for 2a+b+c=2
a=2-b-c/2
substitute a in equation 2 and 3
-2+b+c/2 -b-c=-4
2-b-c/2-2b+2c=6
(3b-c-2)/2=-4
5b+3c+2/2=6
Isolate b for (3b-c-2)/2=-4
b=c-6/3
By simplification we get a=2, b=-2 and c=0
Hence, the solution to the system of equations is a=2, b=-2 and c=0
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3) Amani spent half of her weekly allowance on the movies. She made an extra 30 dollars
babysitting. At the end of the week, Amani had a total of 45 dollars left. How much is
Amani's weekly allowance?
Answer:
23
Step-by-step explanation: