Answer:
5
Step-by-step explanation:
EB is the median so it is the average of the top and bottom lengths
(38 + 6x-6) /2 = 7x-4
Combine like terms
(32+6x)/2 = 7x-4
Multiply by 2
32+6x = 14x-8
Subtract 6x from each side
32+6x-6x = 14x-6x -8
32 = 8x-8
Add 8 to each side
32+8 = 8x-8
40 = 8x
Divide by 8
40/8 = 8x/8
5 =x
(03.04 MC)The youth group is going on a trip to the state fair. The trip costs $58. Included in that price is $12 for a concert ticket and the cost of 2 passes, one for the rides and one for the game booths. Each of the passes costs the same price. Write an equation representing the cost of the trip, and determine the price of one pass. Solve your equation by showing your work and steps.
Answer:
58= 2x +12
each pass is 23 dollars
Step-by-step explanation:
let x represent the cost of the passes
58= 2x + 12
solve for x
58-12 = 2x +12 -12
46 = 2x
46/2 =2x/2
23 = x
a donut shop every Friday makes a total of 420 donuts on Tuesday morning to sell. Of the 420, 105 of them are plain and the rest are chocolate. If the donut shop plans to sell a total 820 donuts on Saturday morning, how many of them will be chocolate?
What is the measure of <1?
What is the measure of <2?
Answer:
1) 98°
2) 65°
Step-by-step explanation:
Sum of the angles in any triangle = 180°
in first triangle the third inner angle = 180 - (18 + 80) = 82 then measure of (1) = 180 - 82 = 98°
The missing interior angle of the second triangle = 180 - 124 = 56° then measure of (2) = 180 - (59+56) = 65°
110 divided by 4 using area model.
The quotient of 110 divided by 4 is 27 with a remainder of 2.
To solve 110 divided by 4 using the area model, we can represent the division problem visually by creating an area model.
Draw a rectangle to represent 110.
Divide the rectangle into four equal parts to represent dividing by 4.
Distribute the value of 110 evenly across the four parts. Since 110 is not divisible evenly by 4, distribute as much as possible to each part.
Determine the quotient. Count the number of equal parts, which in this case is 27.
Therefore, the quotient of 110 divided by 4 is 27 with a remainder of 2.
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if a+b+c=0, prove that a^2 - b^2 - c^2 = 2bc
Step-by-step explanation:
a+b+c=0b+c=(-a) (SQUARING both the sides)(b+c)²=(-a)²(b²+c²+2bc)=a²2bc=a²-b²-c²HENCE PROVED
a²-b²-c²=2bc
Step-by-step explanation:
........ ............... .......
HELLPPPP PLEASEEEE IM GIVING 100 POINTS
which is the equation of the line in slope-intercept form
Enter your answer in the boxes
Y=__x+__
Answer:
Y= -5x + 6Y
Step-by-step explanation:
(-5, -2.5) to (1.5, 6)
Please help. 0=25x^2 + 80x + 68
At the pool, three out of every seven kids are not wearing goggles. Which of the following is the fraction of kids who are not wearing goggles?
A : 4/7
B : 3/7
C : 3/4
D : 4/3
Answer:
B.3/7
Step-by-step explanation:
The graph represents the fees in thousands of dollars, y, depending on the amount invested in millions, x, with one financial investment firm.
Over what interval is the change constant?
[0, 5)
[1, 5)
[0, 20)
[1, 20)
100-80 divided by 4+(6-3) using pemdas
Answer:88.57
Step-by-step explanation: If your doing PEMDAS you do () Wich is 6-3 and gives 3tyen you do Addition which is 4+3=7 Then do Subtraction which is 100-80 so the equation is 100-80/7=88.57 etc.
A person jogs 780 meters south and
then 360 meters west.
What is the magnitude of the
person's resultant vector?
Answer: Approximately 859.06926 meters
Explanation:
Draw a right triangle. The vertical leg is 780 meters and the horizontal leg is 360 meters. The hypotenuse represents the magnitude of the resultant vector. Use the pythagorean theorem to find it.
a^2+b^2 = c^2
c = sqrt(a^2 + b^2)
c = sqrt( 780^2 + 360^2 )
c = 859.06926
The distance from the original starting point to the finish line is roughly 859.06926 meters.
The diameter of a circle is 14 in. Find its area in terms of
π
π.
Answer:
49π in²
Step-by-step explanation:
Step 1: Find the radius.
To find radius given diameter, just divide the diameter by 2: [tex]\frac{14}{2}[/tex] 14/2 = 7, so the radius is 7.Step 2: Apply area of circle formula.
The formula to find the area of a circle is πr², where r = radius.Now, plug in the value of r: π(11)².Step 3: Simplify.
π(11)²π(121)121πSince we're finding the area in terms of pi, we don't have to multiply 121 by pi, so the answer is 49π in².
Hehhhhhhhhhhhhhheh eh
write the slope intercept form of equation of line throug the given point a)parallel to b)perpendicular to given line
1) 4x-2y:3. (point 2,1)
2)x+y:7 point(-3,2)
This might not be right
one is y= 2x-3 and number two is y=-x-1
1) first you convert 4x-2y=3 into slope intercept form
y= 2x+ 3/2
then you change 3/2 to b
y=2x + b
then you plug in the point 2,1
(1)=2(2) + b
1=4+b
-3=b
after that you change the b in y=2x+b to -3
y=2x-3
2) after you convert it into slope intercept form (y=1x+b)
you have to change the x to a negative x because the line is perpendicular
y= -1x + b
then you plug in the point -3,2
2= -1(-3) + b
2= 3 + b
-1 = b
If a cube has a volume of 1 cubic unit, how long is one of its edges?
Answer:
Step-by-step explanation:
If the volume of a cube is 64 cubic inches, Possible Answers: 2 in. 4 in. 9 in. 6 in. 8 in.
work out m and c for the line: 5x-3y+4=0
Answer:
[tex]m = \frac{5}{3}[/tex]
[tex]b = \frac{4}{3}[/tex]
Step-by-step explanation:
The question requires you to rearrange the equation into the form:
y = mx + c
Which is the straight line equation, meaning rearrange for y:
Add 3y to both sides of the equation:
5x - 3y + 4 = 0
5x - 3y + 4 + 3y = 0 + 3y
5x + 4 = 3y
Divide both sides of the equation to isolate y:
[tex]\frac{5x}{3} + \frac{4}{3} = \frac{3y}{3}[/tex]
[tex]y = \frac{5}{3}x + \frac{4}{3}[/tex]
This means that [tex]m = \frac{5}{3}[/tex] and [tex]b = \frac{4}{3}[/tex].
Hope this helps!
Answer:
m = 5/3 and c = 4/3.
Step-by-step explanation:
5x - 3y + 4 = 0
-3y = -5x - 4
y = (-5/-3)x - 4/-3
y = 5/3 x + 4/3
y = mx + c
So m = 5/3 and c = 4/3
n a class of 40 students, 15% of the students were absent on a particular day.
How many students were absent on that day?
Answer:
6
Step-by-step explanation:
15% of 40 is 6.
So 6 was absent.
Out of 40 students total 6 students were absent on the particular day.
What is percentage?Percentage is a measurement to find value of given number out of hundred.
Given that,
Total number of students in a class = 40.
Also, 15% of the total students were absent on a fixed day.
To find the number of students who were absent,
Use percentage property,
Absent students = 40 x 15%
= 40 x 15/ 100
= 600 / 100
= 6
Total number of 6 students were absent on that day.
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Salena is making bracelets. She has 95 inches of string. Each bracelet uses 4 inches of string.
Answer:
23 bracelets
Step-by-step explanation:
I am assuming that we need to find how many bracelets she can make.
Each bracelet uses 4 in of string, so we would have to divide 95 by 4.
95/4 = 23.75
Salena should have enough to make 23 bracelets.
Hope this helps.
The number of bracelets will be equal to 23 bracelets.
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 Salena is making bracelets. She has 95 inches of string. Each bracelet uses 4 inches of string.
The number of bracelets will be calculated as
Number = 95/4
Divide the number 95 by 4,
Number = 23.75
The required number of bracelets is 23.
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During her vacation, Leslie traveled 578.78 miles in 3 days.
On the first day, she traveled 197.07 miles, and on the second day, she traveled 187.11 miles. how many did she travel the 3rd day?
Answer:
I think the answer is 194.6 miles on the third day
Step-by-step explanation:
Help!!! 100 points! for correct
Answer:
D)
Step-by-step explanation:
100 - 32 + 24/4 * 2
100 - 32 + 6 * 2
100 - 32 + 12
100 - 32 + 12 = 80
Answer:
your answer would be C.
Step-by-step explanation:
even though it looks like you would do 24/4 you would actually multiply first. you would multiply 4 by 2 and then you would divide and then add and then subtract. You could use PEMDAS here again. since there's no parentheses and no exponents then you multiply and then divide and then go on to add and then subtract.
also sorry for the late response my data didn't want to work because I currently in school
Use the graph below to answer the question.
The statements that are true are:
a. The rate of change of segment T is decreasing
b. Difference between the rate of change of segments S and R is 3½
How to Find Rate of ChangeRate of change (slope) = change in y / change in x = rise/runRate of change for horizontal line/graph are always zero.To determine which statements are true, find the rate of change of each segment in the graph.
Rate of change for Segment R:
Segment R is horizontal, therefore the rate of change = 0.
Rate of change for Segment S:
Rate of change = rise/run = 7/2 = 3½.
Rate of change for Segment T:
Rate of change = rise/run = 8/-8 = -1.
Rate of change for Segment U:
Rate of change = rise/run = 5/3 = 2⅔.
The rate of change of segment T is negative, therefore, it is decreasing. (Option 1 is true).
Difference between Rate of change of segment S and R = 3½ - 0 = 3½. (Option 2 is also true).
Rate of change for segment T, -1, is less than rate of change for segment S, 3½. (Option 3 is not true).
Option 4 is false. Rate of change for segment U is rather 2⅔.
Option 5 is also not true. Segment R has a rate of change of 0.
Therefore, the statements that are true are:
a. The rate of change of segment T is decreasing
b. Difference between the rate of change of segments S and R is 3½
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Find the slope of the following graph and write ur results in the empty box.
Line Segment LM is the midsegment of the isosceles trapezoid ABCD. Find
Answer:
115
Step-by-step explanation:
They are opposite angles. You can tell because they are on the same line, and one is smaller than the other. So together they equal 180.
180 - 65 = 115
I hope this helps!!
Find the area of the figure.
triangle with base 18 in. and height 13 in.
The area of this triangle is
is
Answer:
117 square inches
Step-by-step explanation:
234/2
Answer:
A = 117 in²
Step-by-step explanation:
The area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = 18 and h = 13 , then
A = [tex]\frac{1}{2}[/tex] × 18 × 13 = 9 × 13 = 117 in²
what 550 divided by 12 and then divide the answer by 4
Answer:
550 / 12 = 45.84
45.84 / 4 = approximately 11.46
Answer: 11 11/24
Step-by-step explanation: 550/12 275/6/4/1
(275/6)(1/4)
275/24
11 11/24
25 Points!! :D
Complete the interphase part of the data from your data table.
Answer: you should have gotten a pic that shows all the cells phases just count the interphase ones however in the interphase cells spend 90% of its life cycle in this phase
Solve: 4|x| = 32
–8 or 8
8
24
no solution
Answer:
-8 or 8
Step-by-step explanation:
We are given the absolute equation:
[tex]\displaystyle \large{4|x|=32}[/tex]
First, divide both sides by 4 which leaves [tex]\displaystyle \large{|x|=8}[/tex]
Absolute Value Definition
[tex]\displaystyle \large{|x|=\begin{cases} x \ \ \ (x\geq 0)\\ -x \ \ \ (x<0) \end{cases}}[/tex]
So from |x| = 8, break into two intervals/conditions.
(1) when x ≥ 0
x = 8
(2) when x < 0
-x = 8
x = -8
From (1) and (2), the solution to 4|x| = 32 is 8 or -8
May I please receive help?
Answer:
9.2 ft
Step-by-step explanation:
The shape is a triangle, the 11 ft is your hypotenuse
You need to use the Pythagorean Theorem!
a^2 + b^2 = c^2 (solve for a, the missing length that they ask for)
so --->
a^2 + (6^2) = 11^2
a^2 + 36 = 121
~subtract 36 to the right side~
a^2 = 85
now find the square root of 85:
a = 9.21954
round it to the nearest tenth:
a = 9.2
final answer: 9.2 ft
hope this helpsss
Step-by-step explanation:
Apply Pythagoren Theorem.
[tex] {x}^{2} + {y}^{2} = {c}^{2} [/tex]
where x and y is the legs (the sides that form a right triangle) and c is the hypotenuse.
the legs are 6 and our unknown. so let x represent the unknown
[tex] {6}^{2} + {x}^{2} = {11}^{2} [/tex]
[tex]36 + {x}^{2} = 121[/tex]
[tex] {x}^{2} = 85[/tex]
[tex]x = \sqrt{85} [/tex]
x=9.2
David hikes 2 1/4 miles in 1/2 an hour. At his rate, how long will it take him to walk 18 miles
Jayden purchases a television when his local electronics store had a sale. The television was 40% off its original price of $672. What was the sale price that jayden paid?
Answer:
The sale price he paid for the TV was $403.20
Step-by-step explanation:
You multiply the original price by .4 (40%). Then, you subtract that number from $672 to find the price Jayden paid! :)