in total: thirty-six (36) markers.
Find the value of x for which m||n
A:38 B:62 C:103 D:150
Answer:
I think the answer is B= 62
Step-by-step explanation:
Please mark brainliest and have a great day!
Which property was used to write the equation in step 2?
Answer:
Distributive property.
For this case we have that by definition, the distributive property establishes that:
[tex]a (b + c) = ab + ac[/tex]
So, if we have:
[tex]5 (x-7) = 55[/tex]
When applying distributive property to the terms within the parenthesis we have:
[tex]5x-35 = 55[/tex]
The distributive property was used to write the second step.
Answer:
Distributive property
Kite ABCD is rotated 180° clockwise about the origin and then reflected over the Y axis followed by reflection over the X axis. What is the location of point a after the transformations are complete? (5,-1), (-5,1), (-5,-1), (5,1)
Answer:
(-5, 1)
Step-by-step explanation:
We are given a kite on the graph which is rotated 180° clockwise about the origin and then reflected over the Y axis followed by reflection over the X axis.
We are to find the coordinates of point A after the complete transformation.
A (-5, 1)
When a point is rotated 180° clockwise about the origin, the signs of its coordinates change.
A (-5, 1) ---> A' (5, -1) - after clockwise rotation of 180 degrees about origin
Then this point A' is reflected over the Y axis where the y coordinate remains the same but x coordinate changes its sign.
A' (5, -1) ---> A'' (-5, -1) - after reflection through y axis
Now this point A'' is reflected over the X axis where the x coordinate remains the same while y coordinates changes its sign.
A'' (-5, -1) ---> A''' (-5, 1) - after complete transformation
Answer:(-5, 1)
Step-by-step explanation:
The lenghts of two sides of a right triangle are 5 inches and 8 inches. What are the difference between the two possible lenghts of the third side of the triangle? Round your answer to the nearest tenth
See the attached picture:
X Y
2 6
5 15
8 24
What is the ratio of x to y? (Write it in simplest form)
Answer:
⅓
Step-by-step explanation:
Whether you divide by ⅓ [X ÷ ⅓] or multiply by ⅓ [Y × ⅓], the ratio is similar. It never varies.
1/3
Divide the 2 lowest values by each other.
6/2=1/3
Hope this helps!
5.Find the roots of the parabola given by the following equation.
2x2+ 5x - 9 = 2x
6.Solve the inequality and graph the solution on a number line.
–3(5y – 4) ≥ 17
Answer:
Part 5) The roots are x=-3 and x=1.5
Part 6) The solution on a number line is the shading area below of the line y=-1/3 (close circle)
Step-by-step explanation:
Part 5) Find the roots of the parabola given by the following equation
[tex]2x^{2} +5x-9=2x[/tex]
we know that
The formula to solve a quadratic equation of the form [tex]ax^{2} +bx+c=0[/tex] is equal to
[tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]
in this problem we have
[tex]2x^{2}+5x-2x-9=0[/tex]
[tex]2x^{2}+3x-9=0[/tex]
so
[tex]a=2\\b=3\\c=-9[/tex]
substitute in the formula
[tex]x=\frac{-3(+/-)\sqrt{3^{2}-4(2)(-9)}} {2(2)}[/tex]
[tex]x=\frac{-3(+/-)\sqrt{81}} {4}[/tex]
[tex]x=\frac{-3(+/-)9} {4}[/tex]
[tex]x=\frac{-3(+)9} {4}=1.5[/tex]
[tex]x=\frac{-3(-)9} {4}=-3[/tex]
therefore
The roots are x=-3 and x=1.5
Part 6) Solve the inequality and graph the solution on a number line.
[tex]-3(5y-4)\geq 17[/tex]
Solve for y
[tex]-15y+12\geq 17[/tex]
Subtract 12 both sides
[tex]-15y\geq 17-12[/tex]
[tex]-15y\geq 5[/tex]
Multiply by -1 both sides
[tex]15y\leq -5[/tex]
Divide by 15 both sides
[tex]y\leq -1/3[/tex]
The solution is the interval -----> (-∞, -1/3]
All real numbers less than or equal to negative one third
The solution on a number line is the shading area below of the line y=-1/3 (close circle)
The graph in the attached figure
If 75 is 25% of a value, what is the value?
Since 25% of something is also 1/4 of something, multiply 25% by 4 to get the full value.
Since 75 is 25 percent, multiply 75 by 4.
75*4=300
The value is 300.
Hope this helps!
Part of the population of 7000 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 8 of them are infected. How many elk are likely to be infected
Answer:
1120
Step-by-step explanation:
8/50=x/7000
50x=56000
Divide 50 on both sides
1120
Answer:
1120
Step-by-step explanation:
8/50=x/7000
50x=56000
Divide 50 on both sides
1120
Solve (x-3)^2 = 49. Select the values of x
Answer:
x = -4, 10
Step-by-step explanation:
We take the square root and use the fact of "plus-minus" and find two values of x. The process of solving this equation is shown below:
[tex](x-3)^2 = 49\\\sqrt{(x-3)^2}=\sqrt{49}\\ x-3=+-7\\x=3+7=10\\x=3-7=-4[/tex]
Hence the two values of x are -4 and 10
Note: both (-7)^2 and (7)^2 are 49 . So we took "plus-minus" values of [tex]\sqrt{49}[/tex]
Answer: -4 and 10
Step-by-step explanation:
b and c
the second and and the third option
the middle two
Find the distance between the points (-2, 4) and (4, -6).
0 212
2/(10)
O2V(34)
Answer:
2[tex]\sqrt{34}[/tex]
Step-by-step explanation:
Calculate the distance (d) using the distance formula
d = √(x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (4, - 6)
d = [tex]\sqrt{(4+2)^2+(-6-4)^2}[/tex]
= [tex]\sqrt{6^2+(-10)^2}[/tex]
= [tex]\sqrt{36+100}[/tex]
= [tex]\sqrt{136}[/tex] = [tex]\sqrt{4(34)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{34}[/tex] = 2[tex]\sqrt{34}[/tex]
A computer manufacturer had net sales of $380 million with returns equal to 1/80 of gross sales . Find gross sales rounded to the nearest million given that net sales equals gross sales less returns .
Answer:
4.75 is the answer
Step-by-step explanation:
The Gross sales were 393 million.
It is required to find the gross sales rounded to the nearest million
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
Let gross sales = x millions
Returns = 1/80xmillions
x-1/80x=380
29x/30=380
x=380*30/29
x=393.10≈393
Therefore, the Gross sales were 393 million.
Learn more about arithmetic here:
brainly.com/question/12855869
#SPJ2
The perimeter of an equilateral triangle is 18y-6. What is the length of one side of the triangle
Answer:
An equilateral triangle has all sides equal.
If perimeter = 18y -6 then one side = (18y -6) / 3 =
6y -2
Step-by-step explanation:
Answer:
54
Step-by-step explanation:
18y-6
y=18/6
y=3
18*3=54
Barbie is analyzing a circle, y2 + x2 = 16, and a linear function g(x). Will they intersect?
Answer:
Yes,they will intersect at (0.686,3.941) and (2.914,-2.741)
Step-by-step explanation:
Given the values that represent the function g(x) you can plot them directly on a graph tool and plot the function y²+x²=16 then visualize
You can also determine the equation of the linear function as then graph both equations on the graph tool
Finding gradient m
Given (0,6) and (1,3)
m=change in value of y/change in value of x
[tex]m=\frac{3-6}{1-0} =\frac{-3}{1} =-3[/tex]
Finding the equation of the linear function
Taking points (2,0) and (x,y)
[tex]m=\frac{y-0}{x-2} \\\\-3=\frac{y-0}{x-2} \\\\\\-3(x-2)=y-0\\\\\\-3x+6=y-0\\\\\\y=-3x+6[/tex]
From the graph,they intersect at
(0.686,3.941) and (2.914,-2.741)
Answer:
Yes, at positive x coordinates
(x-1)(x+20)
May I know the work to this
[tex](x-1)(x+20)=x^2+20x-x-20=x^2+19x-20[/tex]
25 points? last one..Lol
Answer:
38
Step-by-step explanation:
The 38-deg angle and and angle 6 are vertical angles, so they are congruent.
m<6 = 38 deg
Angles 6 and 4 are corresponding angles of parallel lines cut by a transversal, so they are congruent.
m<4 = m<6 = 38 deg
Answer:
38
Step-by-step explanation:
< 6 = 38 vertical angles
< 6 = <2 alternate interior angles
<2 = <4 vertical angles
<4 = 38
Write the equation of the graph
Convert the radian measure to degree measure. Use the value of π found on a calculator, and round answers to two decimal places.
eleven pi divided by four
Answer: 495 degrees
Step-by-step explanation:
[tex]\frac{11\pi }{4}[/tex] · [tex]\frac{180}{\pi }[/tex]
[tex]\frac{1980}{4}[/tex]
495 degrees
The length of a rectangle is 8 1/2
inches and the width
3 1/4
inches. What is the ratio, using whole numbers, of the length to the width?
13:34
34:13
17:13
1311
Answer:
34/13
Step-by-step explanation:
The length-to-width ratio here is:
8.5 / 3.25
which can be reduced by dividing numerator and denominator both by 0.25:
8.5/0.25
--------------- = 34/13
3.25/0.25
Find 12% less than 60
Answer:
52.8
Step-by-step explanation:
First we need to find 12% of 60
12% * 60
.12 * 60
7.2
We want less than which means subtract
60-7.2
52.8
What are the coordinates of the center and length of the radius of the circle whose equation is X^2+6x+4y=23?
The center of the circle is (-3, -9/2) and the radius is sqrt(41)/2.
Explanation:To find the coordinates of the center and length of the radius of the circle, we need to rewrite the equation of the circle in the standard form (x-h)^2 + (y-k)^2 = r^2. First, complete the square for the x and y terms by adding and subtracting the necessary constants:
x^2 + 6x + 4y = 23
x^2 + 6x + 9 + 4y + 9 = 23 + 9 + 9
(x + 3)^2 + (y + 9/2) = 41/4
Therefore, the center of the circle is (-3, -9/2) and the radius is sqrt(41/4), which simplifies to sqrt(41)/2.
Is (0,0) a solution to this system?
ys x2 - 4
y> 2x-1
Answer:
C
Step-by-step explanation:
Ok, so to do this, we are just going to plug in (0,0) and see it it checks out.
Let's take the first question. y[tex]y\geq x^{2} -4[/tex]
When we plug (0,0) into this, we get the following
[tex]0\leq 0^{2} -4[/tex]
[tex]0\leq 0-4[/tex]
[tex]0\leq -4[/tex]
This is false.
Let's check the other equation:
[tex]0>2(0)-1\\0>0-1\\0>-1[/tex]
This is true.
So the correct answer is C
The students at Midtown Middle school sold flowers as a fundraiser in September and October. In October, they charged $1.50 for each flower. The October price was a 20% increase of the September price.
Part A
What was the price of the flowers in September?
Enter your answer in the box.
$
Part B
The seventh-grade class earned 40% of the selling price of each flower.
In September, they sold 900 flowers.
In October, they sold 700 flowers.
Select a choice from each drop-down menu to make a true statement.
The seventh-grade class earned more money in by
Save
Answer:
[tex]\boxed{\text{A. \$1.25; B. September by 4.7 \%}}[/tex]
Step-by-step explanation:
Part A. Price of flowers in September
Let x = price of flowers in September.
Then 1.2x = price of flowers in October
1.2x = $1.50
[tex]x = \dfrac{\$1.50 }{1.20} = \$1.25\\\\\text{The price of flowers in September was }\boxed{\textbf{\$1.25}}[/tex]
Part B. Seventh-grade class
40 % of September price = 0.40 × $1.25 = $0.50
40 % of October price = 0.40 × $1.50 = $0.60
In September
[tex]\text{Earnings} = \text{900 flowers} \times \dfrac{\$0.50}{\text{1 flower} } = \$450[/tex]
In October,
[tex]\text{Earnings} = \text{700 flowers} \times \dfrac{\$0.60}{\text{1 flower} } = \$430\\\\\text{Difference} = \$450 - \$430 = \$20[/tex]
The class earned $20 more in September.
Compared with October earnings,
[tex]\text{\% Difference} = \dfrac{\text{Difference}}{\text{October earnings}} \times 100\%\\\\\text{\% Difference} = \dfrac{\$20}{\$430} \times 100\% = 4.7 \%\\\\\text{The class made more money in } \boxed{\textbf{September}} \text{ by } {\boxed{\mathbf{4.7 \%}}[/tex]
The answer above me deserves brainliest !! They did so well!!!
The sum of the exterior angles of a polygon is always 180 degrees. True False
Answer:True
Step-by-step explanation:
Answer:
The sum of the exterior angles of a polygon is always 180 degrees.
Step-by-step explanation:
Please mark brainliest and have a great day!
15p!!what is the percent of change from 134 to 106? round to the nearest percent!
Answer:
The answer is 21%.
Step-by-step explanation:
1) divide 134 by 106
106/134 is about 0.79
2) Multiply by 100 to find the percentage
0.79(100)= 79%
3) Subtract 79% from 100% to find the percentage difference
100%-79%= 21%
Therefore, the percent of change between 134 and 106 is 21%.
Hope this helps!
Which shows how to solve the equation 3/4x=6 for x in one step?
Well going off what I know (you don't have the equations up)
You have to isolate x
3/4x = 6
(4) 3/4x = 6 *multiplying by 4 cancels the fraction.
3x = 24
Divide by 3
X = 6
Answer:
[tex]x = 8[/tex]
Step-by-step explanation:
Let multiply each side by 4/3:
[tex]\frac{4}{3}\cdot \frac{3}{4} \cdot x = 6\cdot \frac{4}{3}[/tex]
[tex]x = 8[/tex]
F (- 12) = 2/3(-12)+7
F (- 12) = 2/3(-12)+7
F (- 12) = 2(-4) + 7
F(-12) = -8 + 7
F(-12) = -1
In △ABC, a=26, b=19, and c=17.2. Identify m∠C rounded to the nearest degree.
The figure shows triangle A B C. The length of segment A B is c units. The length of segment A C is b units. The length of segment B C is a units.
Answer:
41°
Step-by-step explanation:
∠C is opposite of side c.
Using law of cosines:
c² = a² + b² − 2ab cos C
17.2² = 26² + 19² − 2(26)(19) cos C
cos C = 0.750
C ≈ 41°
Answer:
The answer is 41 degrees
What is the value of y in the equation 3 (3y - 9) = 0
Answer:
y=3
Step-by-step explanation:
3 (3y - 9) = 0
Divide each side by 3
3/3 (3y - 9) = 0/3
3y -9 = 0
Add 9 to each side
3y -9+9 = 0+9
3y =9
Divide by 3
3y/3 = 9/3
y =3
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A rectangular swimming pool is 15 meters long, 13 1 2 meters wide, and 1 1 2 meters deep. What is its volume?
Answer: 1439
Step-by-step explanation:
Volume= Length* breadth* height
= 15*1312*112
= 1439
The perimeter of a rectangle is greater than or equal to 74 meters.
If the length is 25 meters, the minimum width of the rectangle is ______ meters.
Answer:
12
Step-by-step explanation:
First, multiply the length by two then, subtract the total by the sum, last divide by two.
(25 * 2)
(74 - 50)
(24/2)
Answer = 12
Answer:
w>/=12
Step-by-step explanation:
2(25)+2w>/= 74
50+2w>/=74
-50 -50
2w>/=24/2
w>/=12