Answer:
A=2
Step-by-step explanation:
3Ax - 24 = 5x - 9 + x (simplifying the right side)
3Ax - 24 = 6x - 9
Equating the term x,
It will have no solution when 3A = 6 ⇒ A = 2
To see why:
3(2)x - 24 = 6x - 24
and this can never equate to 6x - 9 and have no solutions for x.
If p || q, solve for x.
The value of x is 8.
Solution:
Given line p is parallel to line q.
If two parallel lines are cut by a transversal, then the corresponding angles are congruent.
(11x - 5)° = (7x + 27)°
11x° - 5° = 7x° + 27°
Add 5° on both sides.
11x° = 7x° + 32°
Subtract 7x° from both sides.
4x° = 32°
Divide by 4 on both sides.
x° = 8°
x = 8
The value of x is 8.
× + 20 + 2× = 10 - 2× - 15
Answer:
The answer is -5
Step-by-step explanation:
[tex]\mathrm{Group\:like\:terms}\\x+2x+20=10-2x-15[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:x+2x=3x\\3x+20=10-2x-15[/tex]
[tex]\mathrm{Group\:like\:terms}\\3x+20=-2x+10-15[/tex]
[tex]\mathrm{Add/Subtract\:the\:numbers:}\:10-15=-5\\3x+20=-2x-5[/tex]
[tex]\mathrm{Subtract\:}20\mathrm{\:from\:both\:sides}\\3x+20-20=-2x-5-20[/tex]
[tex]\mathrm{Simplify}\\3x=-2x-25[/tex]
[tex]\mathrm{Add\:}2x\mathrm{\:to\:both\:sides}\\3x+2x=-2x-25+2x[/tex]
[tex]\mathrm{Simplify}\\5x=-25[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}5\\\frac{5x}{5}=\frac{-25}{5}[/tex]
[tex]\mathrm{Simplify}\\x=-5[/tex]
Hope this helps you greatly!
Have a great afternoon!
Labyrinth Middle School is 363 ft long Tabitha makes a scale model of the skull and the drawing is 33 in Long. What is the scale factor used to create the model PLZZZ HELP ME HURRY THE ANSWERS CHOICES ARE IN THE PICTURE
1 inch on the drawing represents 11 feet in the labyrinth middle school.
Step-by-step explanation:
Step 1:
The labyrinth middle school is much larger than the drawing. For 33 inches on the drawing, it is 363 feet on the actual school.
So 33 inches on the drawing is equal to 363 feet in the labyrinth school.
Step 2:
To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling.
In this case, the drawing that Tabitha drew is after scaling and the labyrinth middle school is the measurement before scaling
The scale factor [tex]= \frac{33}{363} = \frac{1}{11}.[/tex]
So the scale factor is [tex]\frac{1}{11}[/tex]. This means that 1 inch on the drawing is 11 feet in the actual school.
the radius of a birthday cake is 5 inches.Icing will decorate the circumference of the cake.What procedure can be used to find the approximate circumference of the cake?
Answer:
Multiply 5 by 2 and the product by 3.
Step-by-step explanation:
Which expression represents five less than the square of one more than a number?
(x + 1)2 - 5
5 - (x + 1)2
(x²+ 1) - 5
5-(x²+1)
Answer:
(x+1)² - 5
Step-by-step explanation:
one more than a number: x+1
the square of that (x+1)²
five less than that (x+1)² - 5
what is the gradient of the graph shown
The gradient of the graph is 2.
Solution:
Let the points on the graph are (-2, 0) and (0, 4).
Here [tex]x_1=-2, y_1=0, x_2=0, y_2=4[/tex].
Gradient of the graph:
[tex]$\text{Gradient }= \frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]$= \frac{4-0}{0-(-2)}[/tex]
[tex]$= \frac{4-0}{0+2}[/tex]
[tex]$= \frac{4}{2}[/tex]
Cancel the common terms, we get
Gradient = 2
The gradient of the graph is 2.
Writing expressions. 3 times the sum of 4 and 8
Answer:
3(4+8)
Step-by-step explanation:
Answer:
3 * (4 + 8)
Step-by-step explanation:
Step 1: Convert words into an expression
3 times the sum of 4 and 8
3 times = 3 *
Sum of 4 and 8 = (4 + 8)
3 * (4 + 8)
Answer: 3 * (4 + 8)
A bag contains yellow marbles and red marbles, 55 in total the number of yellow marbles is 5 less than 2 times the number of red marbles how many yellow
Answer:
35 marbles
Step-by-step explanation:
5 x 2 x2 = 20
55-20 is 35
For -3+2y=11 would I add -3 to 11 to find Y, or would I subtract -3 from 11?
Using the double angle identities, find sin2x given sinx=4/5
Answer:
24/25
Step-by-step explanation:
The usual form of the double-angle identity is for sine is ...
sin(2x) = 2sin(x)cos(x)
The cosine can be found from the sine using the Pythagorean identity ...
sin(x)² + cos(x)² = 1
cos(x) = √(1 -sin(x)²)
__
Filling in the given value for sin(x), we can find the cosine to be ...
cos(x) = √(1 -(4/5)²) = √(9/25) = 3/5 . . . . . . . assuming a first-quadrant angle
Then the desired sine is ...
sin(2x) = 2sin(x)cos(x) = 2(4/5)(3/5)
sin(2x) = 24/25
A quiz has four multiple-choice questions; each question is either true or false. How many different solution keys are possible?
Answer: 2 solution keys
Step-by-step explanation:
Although question has True or False as solution, while the multiple questions are four, solution keys still equals 2, since True in an option in the four questions, false is another option in the four questions.
I hope this helps.
Marcus reads for 30 minutes each night. He wants to determine the total number of minutes he will read over the course of a month. He wrote the equation t=30 d to represent the total amount of the time that he has spent reading, where t represents the total number of minutes read and d represents the number of days that he read during the month. Determine which variable is independent and which is dependent. Then create a table to show how many minutes he read in the first seven days,
Answer:
The time is independent of the months we multiply these minutes as grouping with subject impression or importance. This way within the frequency you can see 263340 represents what score you are looking for importance ie) 20/20 for your book choice. This is 8 days which fits better for a monthly review 8,8,8 and 6. Which would easily be readable in the minute totals.
240= 8 nights 180 minutes = 6 nights. Having a frequency helps determine patterns for book interest and study.
Step-by-step explanation:
Subjects (imp) Minutes (M P/D) F(Frequency)
score 1-3 30 60
4-6 60 300
7-9 60 420
10-12 90 990
Total 26 + 240 ...266 x990 = 263340
A circle has a circumference of 12. It has an arc of length 8/5. what is the central angle of the arc, in degrees?
360⁰......12
x.............8/5=1.6
Thus:
x=1.6×360/12=1.6×30=48⁰
Answer: x=48⁰
Answer: The central angle of the arc is 48 degrees.
Step-by-step explanation: The question has provided the first clue, which is the circumference of the circle, given as 12 units. Also the length of an arc along the same circumference has been given as 8/5 units. The circumference of a circle is calculated as
Circumference = 2Pi x radius
Also the length of an arc is calculated as
Length of an arc = (X/360) x 2Pi x radius (where ‘X’ is the angle subtended by the arc).
Having known the answer to 2Pi x radius which is 12, and the length of the arc which is 8/5, we can now express the length of an arc as
Length of an arc = (X/360) x 2Pi x radius
8/5 = (X/360) x 12
By cross multiplication we now have
(8 x 360)/ (5 x 12) = X
2880/60 = X
48 = X
Therefore the central angle of the arc is 48 degrees.
indicate the standard form the equatin of the line passing through the given pints E(-2,2) F(5,1)
Answer:
y = -x/7 + 12/7
Step-by-step explanation:
We are requested to find the standard equation of a line
We are given two points
E and F
E ( -2 , 2)
F ( 5 ,1 )
Step 1: find the slope
m = y_2 - y_1 / x_2 - x_1
x_1 = -2
y_1 =2
x_2 = 5
y_2 = 1
Inserting the values
m = 1 - 2 / 5 - (-2)
m = 1 -2 / 5 + 2
= -1 / 7
Slope = -1/7
Step 2: using the point slope form
y - y_1 = m( x - x_1)
Using point ( 5, 1)
x_1 = 5
y_1 = 1
m = -1/7
Insert the values
y - 1 = -1/7(x - 5)
y - 1 = -1(x - 5)/7
Open the bracket with -1
y - 1 =( -x + 5) / 7
following the equation of a line
y = mx + C
y = (-x + 5)/7 + 1
LCM = 7
y = (-x + 5+ 7) / 7
y = (-x + 12)/7
We can still separate
y = -x/7 + 12/7
The standard equation of a line is
y = -x/7 + 12/7
Which expression is equivalent to 20c - 8d?
A. 2(10c + 4d)
B. 4(5c - 8d)
C. 4(5c - 2d)
D. c(20 -8d)
(explain please.)
The expression [tex]\rm 20c - 8d[/tex] is equivalent to the [tex]\rm 4(5c - 2d)[/tex] and it can be determined by using factorization.
Given that,
Expression; [tex]\rm 20c - 8d[/tex]
We have to determine
The equivalent expression to the given expression.
According to the question,
To determine the equivalent relation calculation must be done in a single unit following all the steps given below.
Expression; [tex]\rm 20c - 8d[/tex]
From the expression take out the common factor and rewrite the expression.
[tex]= \rm 20c-8d\\\\= 4 \times 5 \times c - 2\times 4 \times d\\\\= 4(5\times c - 2 \times d)\\\\= 4(5c-2d)[/tex]
Hence, The expression [tex]\rm 20c - 8d[/tex] is equivalent to the [tex]\rm 4(5c - 2d)[/tex].
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Xavier runs 21 miles in three hours what is his unit rate for the average distance he ran after one hour
Answer:
7 mph
Step-by-step explanation:
21/3 = 7 so Xavier runs 7 miles per hour
Match each word to the appropriate example using the expression 5a + 9b - 4.
is a coefficient
is a constant.
There are
terms in the expression.
Answer:
9 is the coefficient
-4 is the constant
There are 3 terms in the expression.
Step-by-step explanation:
The expression 5a + 9b - 4 consists of three terms: 5a, 9b, and -4. The coefficients are 5 and 9, while the constant is -4.
Explanation:The expression 5a + 9b - 4 consists of three terms. Each term represents a part of the expression that is separated by + or - signs.
In this expression, 5a, 9b, and -4 are the terms.
The coefficient is the number that multiplies the variable. In this expression, the coefficients are 5 and 9.
The constant is a term that does not have a variable attached to it. In this expression, the constant is -4.
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A store is having a sale on jelly beans and trail mix. For 6 pounds of jelly beans and 2 pounds of trail mix, the total cost is $20. For 3 pounds of jelly beans and 5 pounds of trail mix, the total cost is $23. Find the cost for each pound of jelly beans and each pound of trail mix.
Answer:
Jelly beans are $2.25/pound, trail mix $3,25/pound
Step-by-step explanation:
Let’s say that the cost of a pound of jelly beans is x, and that the cost of a pound of trail mix is y.
We can then say that 6 pounds of jelly beans + 2 pounds of trail mix, or 6x+2y, equals 20.
Next, 3x+5y=23, and we have
6x+2y=20
3x+5y=23
We can multiply the whole second equation by -2 and add it to the first one to get rid of the x, so -8y=-26. Divide both sides by -8, and a pound of trail mix, or y, is 26/8, or $3.25. Plugging this back into the first equation, we get that
6x+2(26/8)=20, so (20-2(26/8))/6=x=2.25, or the cost of one pound of jelly beans
To solve for the cost per pound of jelly beans and trail mix, create and solve a system of algebraic equations using the provided information. Multiply and subtract equations as needed to eliminate one variable and solve for the other, then back-substitute to find the second value.
Explanation:The question involves a system of two equations based on the prices of jelly beans and trail mix. We can use algebra to solve for the cost per pound of each. Let's denote the cost per pound of jelly beans as j and the cost per pound of trail mix as t.
The two equations based on the given information are:
6j + 2t = $203j + 5t = $23To solve these equations, we can use either substitution or elimination. Let's use the elimination method:
Multiply the first equation by 3 and the second by 2.This gives us 18j + 6t = $60 and 6j + 10t = $46.Subtracting the second equation from the first gives us 12j - 4t = $14.Multiply the second original equation by 2, yielding 6j + 10t = $46.Now take the modified first equation (12j - 4t = $14) and divide by 2 to simplify, getting 6j - 2t = $7.Adding this to the modified second equation results in 12j + 8t = $53.We can now solve for one variable. For instance, from 6j - 2t = $7, we can express t as (6j - $7)/2.Substitute this expression for t in one of the original equations to find j.Once j is found, use it to calculate t from either equation.After solving, we will find the costs per pound for jelly beans and trail mix.
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Which of the following sets shows all the numbers from the set {2, 3, 4, 5 that are part of the solution inequality 4n + 6> 22
Solution:
Given inequality is:
[tex]4n + 6 > 22[/tex]
Substitute n = 2
[tex]4(2) + 6 > 22\\\\8 + 6 > 22[/tex]
14 is not greater than 22
Thus, n = 2 does not satisfy the given equation
Substitute n = 3
4(3) + 6 > 22
12 + 6 > 22
18 is not greater than 22
Thus, n = 3 does not satisfy the given equation
Substitute n = 4
4(4) + 6 > 22
16 + 6 > 22
22 is equal to 22
Thus, n = 4 does not satisfy the given equation
Substitute n = 5
4(5) + 6 > 22
20 + 6 > 22
26 > 22
26 is greater than 22
Thus, n = 5 satisfies the given equation
The midpoint M of CD¯ has coordinates (−1, 3). Point C has coordinates (−5, 6). What are the coordinates of point D?
Answer:
The Co-ordinates of D are (3,0)
Step-by-step explanation:
x= x₁ +x₂ / 2 , y= y₁+y₂ /2
-1 = -5 + x₂ /2 , 3 = 6+y₂ /2
Solve them and u ll get the ans
what does a equal
5^9/5^3=5^a a=
1. Use the Quotient Rule: x^a/x^b = x^a - b
5^9 - 3 = 5a
2. Simplify 9 - 3 to 6
5^6 = 5^a
3. Simplify 5^6 to 15625
15625 = 5^a
4. Convert both sides to the same base
5^6 = 5^a
5. Cancel the base of 5 on both sides
6 = a
6. Switch sides
a = 6
The area of a playground is 266 yd. The width of the playground is 5 yd longer than its length. Find th
length and width of the playground.
a. length = 19 yd, width = 24 yd
C length = 14 yd, width = 19 yd
b. length = 19 yd, width = 14 yd
d. length = 24 yd, width = 19 yd
Answer:
C
Step-by-step explanation:
The width is 5 yds longer so we can mark out b and d if you multiply 19 and 24 is 456 so you are left with C
Peter is saving for a down payment of $50,000 for a new home. Yesterday, he created an equation that models his current savings plan to
determine how long it will take him reach his goal. In his model, y represents the total amount saved and x represents the number of months
since yesterday. Which statement is true?
Step 1:
Step 2:
30,000
Step 3:
y= 30,000 + 2,000x
y - 30,000 = 30,000 + 2,000x-
y - 30.000 = 2,000x
y - 90,000 2,000
2,000 = 2,000
Step 4:
y
- 30,000
Step 5:
2,000 = x
50,000 - 30,000
=x
2,000
Step 6:
Step 7:
10 = x
O A.
Peter used the division property of equality in step 4.
OB.
Peter used the substitution property in step 5.
C.
Peter used the subtraction property of equality in step 5.
OD. Peter used the associative property in step 6.
Answer:
Step-by-step explanation:
step 1 y = 30000 + 2000x
step 2 y - 30000 = 30000 + 2000x - 30000
step 3 y - 30000 = 2000x
step 4 y-30000/2000 = 2000x/2000
step 5 y - 30000/2000 = x
step 6 50000 - 30000/2000 = x
step 7 10 = x
therefore the correct option should be
Peter used the division property of equality in step 4.
Peter used the subtraction property of equality in Step 5 of his savings plan equation to determine how much more he needs to save. He subtracted his current savings from his goal to get the remaining amount that has to be saved.
Explanation:The statement that is true based on the steps provided is C. Peter used the subtraction property of equality in step 5. To explain, in step 5, Peter was using the subtraction property of equality when he subtracted $30,000 from his goal of $50,000. The subtraction property of equality states that if you subtract an equal amount from both sides of an equality, it still remains equal. In this case, he subtracted his current savings (i.e., $30,000) from his target amount (i.e., $50,000) to determine how much more money he has to save.
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Solve the equation:
x² + 3x² - 4x=0
Answer: x²= 0
Step-by-step explanation:
If x² + 3x² - 4x=0
4x²-4x=0
4x² =0/4×
4x² = 0
x² = 0/4
10. For the equation 3x – 4 = 8, which
number makes the equation true:
x = 2, x= 3, X= 4, or x = 5?
Answer:
x = 4
Step-by-step explanation:
We can find the answer to this by solving the equation:
3x - 4 = 8
3x - 4 + 4 = 8 + 4
3x = 12
x = 4
The converse of a conditional statement is "If the sum of the exterior angles of a figure is 360°, then the figure is a polygon.”
What is the inverse of the original conditional statement?
If a figure is a polygon, then the sum of the exterior angles is 360°.
If the sum of the exterior angles of a figure is not 360°, then the figure is not a polygon.
If the sum of the exterior angles of a figure is 360°, then the figure is not a polygon.
If a figure is not a polygon, then the sum of the exterior angles is not 360°.
Answer:
If a figure is not a polygon, then the sum of the exterior angles is not 360.
Step-by-step explanation:
The converse of the given statement is -
"If a figure is a polygon, then the sum of the exterior angles is 360°."
What is converse of a conditional statement?You can write the converse of a conditional statement by reversing the hypothesis and conclusion with each other.
Given is the statement as -
"If the sum of the exterior angles of a figure is 360°, then the figure is a polygon.”
Converse of conditional statement can be written as -"If A then B" → "If B then A"
So, we can write the converse as -If a figure is a polygon, then the sum of the exterior angles is 360°.
Therefore, the converse of the given statement is -
"If a figure is a polygon, then the sum of the exterior angles is 360°."
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Find the volume of a cone that has a radius of 3 meters and a height of 6 meters.
(Use 3.14 for pi and round the answer to the nearest hundredth.)
Answer:
56.55m^3
Step-by-step explanation:
v=[tex]\pi[/tex]*r^2*h/3
Point S is located at (9,-3). Point T is located at (4,-3). What is the distance from point SSS to point T?
Answer:
5
Step-by-step explanation:
I think this is your corrected question:
Point S is located at (9,-3). Point T is located at (4,-3). What is the distance from point S to point T?
Here is my answer:
S (9. -3) <=> x1 = 9, y1 = -3
T (4, -3) <=> x2= 4, y2 = -3
As we can see, the two coordinates are located in the same line y =-3 so the distance between two points: x1 -x2 = 9-4=5 horizontally.
Write seven hundred eighty-six thousandths as a decimal number
Answer:
0.7860
Step-by-step explanation:
Answer:
0.7860
Step-by-step explanation:
It is because there is no "and." If it were to say: seven hundred and eighty-six thousandths it would be 700.860.
Whenever it ads "ths" at the end it will be a decimal.
What is Six less than y
Answer:
y-6
Step-by-step explanation:
Y minus six
Step-by-step explanation: