Answer: 87
Step-by-step explanation:
The range is the largest data value minus the smallest data value.
95 - 8 = 87
Oscar buys his lunch in the school cafeteria. The cost of 15 school lunches is $33.75.
Part 1: If you had to find a graph to represent this rate, would slope would you be looking for?
Part 2: Using the rate you determined, complete this ordered pair: (5, ________)
Answer:
Part 1: 2.25
Part 2: (5, 11.25)
Step-by-step explanation:
Part 1: 33.75/15= 2.25
Part 2: 5*2.25= 11.25
What is the slope of the given line? (Use only whole numbers or fractions to answer)
What is the y-intercept of the given line? (Put your answer as the y-intercept point with no spaces)
Answer:
Slope m= -12/5
Step-by-step explanation:
Slope Solution
m=riserun=ΔyΔx
m=y2−y1x2−x1
m=−9−37−2
m=−125
m=−125
In decimals:
m = -2.4
Point Slope Form
y−y1=m(x−x1)
y−3=−125(x−2)
In decimals:
y−3=−2.4(x−2)
Slope Intercept Form
Find the Equation of the Line:
y=mx+b
by solving for y using the Point Slope Equation.
y−y1=m(x−x1)
y−3=−125(x−2)
y−3=−125x−(−125×2)
y−3=−125x−−245
y−3=−125x+245
y=−125x+245+3
y=−125x+395
m=−125
b=395
In decimals:
y=−2.4x+7.8
Standard Form of a Linear Equation
Ax+By=C
Starting with y = mx + b
y=−125x+395
Multiply through by the common denominator, 5, to eliminate the fractions:
5y=−12x+39
Then rearrange to the Standard Form Equation:
12x+5y=39
A=12
B=5
C=39
y-Intercept, when x = 0
y=mx+b
y=−125x+395
When x = 0
y=−125×0+395
y=395
y-intercept=395
(x,y)=(0,395)
In decimals:
(x,y)=(0,7.8)
x-Intercept, when y = 0
y=mx+b
y=−125x+395
When y = 0
0=−125x+395
125x=395
x=395×512
x=3912
x=134
x-intercept=134
(x,y)=(134,0)
In decimals:
(x,y)=(3.25,0)
What is the value of a?
Answer:
what exactly is the equation?
Step-by-step explanation:
Please i need the answer to this asap!!!
Answer:
They do not pay the same amount. Manuel's family pays more than Amelia's.
Step-by-step explanation:
General:
Child: c
Adult: 4 + c
Senior: 3 + c
Amelia's Family:
Total cost = 3(c) + 2(4 + c)
= 3c + 8 + 2c
= 5c + 8
Manuel's Family:
Total cost: 2(c) + 4 + c + 2(3 + c)
= 2c + 4 + c + 6 + 2c
= 5c + 10
Help me please like plase
Answer:
Adjacent angles.
Step-by-step explanation:
a and b are next to each other on a straight line.
If tu = 6 units, what must be true? su ut = rt rt tu = rs rs su = ru tu us = rs
In the provided figure of line segment RS, the statement which is true is su + ut = rt. Option A is correct.
What is the length of line segment?Length of a line segment is the distance of both the ends of it.
The length of the line segment TU is 6 units.
[tex]TU=6\rm\; units[/tex]
In the figure attached below, the length of line segment RT is 12 and RS is 24. Thus, the value of RS is double than the value of RT.
[tex]RT=2RS\\RS=\dfrac{RT}{2}[/tex]
RS is the total length of the segment, which is equal to the length of RT and ST.
[tex]RT+ST=24\\12+(SU+UT)=24\\(SU+UT)=24-12\\SU+UT=12[/tex]
12 is the length of RT. Thus,
[tex]SU+UT=RT[/tex]
Hence, in the provided figure of line segment RS, the statement which is true is su + ut = rt. Option A is correct.
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Min draws an isosceles triangle.
Which attributes describe his triangle?
Choose each correct answer.
not a polygon
no angles the same measure
three sides
two obtuse angles
at least two sides of the same length
closed figure
Answer:
three sides
at least two sides of the same length
closed figure
Step-by-step explanation:
1) A triangle is a polygon.
2) Isoceles triangles have 2 equal angles.
3) A triangle has 3 sides
4) An isoceles triangle has 2 acute and 1 obtuse angle
5) An isoceles triangle means to have 2 sides of equal length.
6) A triangle is a closed figure.
Write the equation of a circle whose diameter is 8 and whose center is (-8, -5)?
if the diameter is 8, then its radius is half that or 4.
[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{-8}{ h},\stackrel{-5}{ k})\qquad \qquad radius=\stackrel{4}{ r} \\\\[-0.35em] ~\dotfill\\\\\ [x-(-8)]^2~~ + ~~[y-(-5)]^2~~ = ~~4^2\implies (x+8)^2+(y+5)^2=16[/tex]
Question
Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.
Answer:
88 m²
Step-by-step explanation:
Formula
Lateral Surface Area (LSA) = 2πrhGiven :
Diameter = 14 m ⇒ Radius = 7 mHeight = 2 mSolving :
LSA = 2πrhLSA = 2 x 22/7 x 7 x 2LSA = 22 x 4LSA = 88 m²[tex]4x^{3} + x8x^{2}[/tex]
Evaluate
Answer:
12x^3
Step-by-step explanation:
they're trying to confuse you on purpose, but x*8x^2 is the same thing as 8x^3
just add them and you're set
What do you think Thomas Edison meant by the word perspiration? How do those words apply to what you've learned about businesses in this lesson?
1. Thomas Edison used "perspiration" to refer to the physical and mental efforts needed to achieve a meaningful purpose in any human endeavor.
2. As it applies to businesses, it is not enough to develop a business idea or plan, as the business person must be prepared to execute and carry the business idea or plan to fruition.
What does Thomas Edison's reference mean?
According to Thomas Edison, the superior intellect or creativity we associate with great minds comes from inspiration (the idea) and perspiration (hard work).
Perspiration literarily refers to the sweat that emanates as someone works hard.
Without a strong working ethic, it will be impossible to achieve great results from only the proposition of great ideas or business plans.
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Algebra 1 (100 points) Look at screen shot
Answer:
Lin has provided the correct answer.Step-by-step explanation:
The equation has two roots as a quadratic equation.
Elena's solution ends up with loss of one of the roots when cancelling the variable.
Lin gets two roots, so she is correct.
Answer:
Lin gave Correct answer
Step-by-step explanation:
Let's solve by ourselves once
x²=7xx²-7x=0x(x-7)=0x=0,7[/tex]verified
(30 points! pls help) Determine the length of AB. Write your answer in simplest form. 5, 2, 10, x
Answer:
Try the a2 +b2=c2
Step-by-step explanation:
Try putting attention next time
There are 9 slips of paper in a hat, each with a number from 1 to 9. The numbers correspond to a group of students who must answer a question when the number of their group is drawn. Each time a number is drawn, the number is put back in the hat. What is the probability that the first five numbers drawn will be 1,2,3,4,5 in that order?
Answer:
Step-by-step explanation:
Remark
There is only 1 way that you can get 1 2 3 4 5 in that order.
There are many possibilities of drawing 5 numbers from a total of 9 possible ones.
Total number of drawing 5 numbers.
Total = 9 * 9 * 9 * 9 * 9
Total = 59049
So putting the two facts together you get
Chance of getting (1 2 3 4 5) = 1/59049
Answer: .000016935
PLEASE PLEASE HELP ME
Go through second method
Area of one traingle'-
1/2(1.5)42(1.5)3cm²Area of two triangles=6cm²
Area of rectangle
(15-4)(3)11(3)33cm²Total:-
33+639cm²Answer:
Method 1
Find the area of the rectangle, 45 cm². Subtract the area of the cut-out triangle from the rectangle, 45 - 6 = 39 cm²
Method 2
Separate the ribbon into two triangles and a rectangle.
33 + 3 + 3 = 39 cm²
Step-by-step explanation:
Formulae
Area of a rectangle = width × lengthArea of a triangle = 1/2 × base × heightMethod 1
Area of the rectangle:
= 3 × 15
= 45 cm²
Area of the cut-out triangle:
= 1/2 × 3 × 4
= 6 cm²
Find the area of the rectangle, 45 cm². Subtract the area of the cut-out triangle from the rectangle, 45 - 6 = 39 cm²
Method 2
Area of the rectangle:
= 3 × (15 - 4)
= 3 × 11
= 33 cm²
Area of one triangle:
= 1/2 × (3 ÷ 2) × 4
= 3 cm²
Separate the ribbon into two triangles and a rectangle.
33 + 3 + 3 = 39 cm²
Determine the value of the angle.
Angle FDE=
Answer:
angle fde = 37 degree
Step-by-step explanation:
we have,
angle bdc = angle fde
for angle bdc
adf = 90, adb = 53
let the value be x
=> 90+53+x = 180
=> 143+x = 180
=> x = 180 - 143
=> x = 37
bdc = 37
so, fde = 37
What is the resulting product of 4 × 8 and description of the product?
Answer:
32
Step-by-step explanation:
The answer is 32 because 8 x 3 is 24 so then just add 8
please help me classify which numbers are integers
Answer:
An integer is a WHOLE number. No fractions and no decimals. so it would be... no, yes, yes, no, yes
Step-by-step explanation:
To clarify because they try to be tricky here. 27/3 is actually equal to 9 when simplified. Same thing with 40/8... when simplified it equals 5. Both are whole numbers and therefore integers.
Answer:
-76 is an integer and 27/3 and 40/8 could also be as well
Step-by-step explanation:
27/3 is and integer because if you simplify it, it equals 9, an integer. Same for 40/8, it equals 5.
What is the measure of ZABC?
А
D
75
O A. 75°
45
B
E
m
B. 60°
с
O C. 45°
O D. 120°
Answer:
B
Step-by-step explanation:
The measure of the angle ABC in the given circle is 60°
What is circle?A circle is the set of all points in the plane that are a fixed distance (the radius) from a fixed point (the center). Any interval joining a point on the circle to the center is called a radius. By the definition of a circle, any two radii have the same length.
Given is a circle, with arcs DE and AC measuring 45° and 75° respectively,
We need to find the measure of the angle ABC,
So, using the property of a circle, we will have,
∠ ABC = 1/2 {arc DE + arc AC}
= 1/2 {45+75}
= 1/2 x 120
= 60
Hence, the measure of the angle ABC in the given circle is 60°
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PLEASE HELP ME IM TIMED
ONLY THE SECOND QUESTJON PLEQSE
Answer:
2.
A. GCF: 5x
B. GCF: 1
3.
A. 12x² + 38x - 14
B. 9x² - 6x + 1
C. 3x² + 4x - 5
Step-by-step explanation:
2.
a.
5x² - 30x
5x (x - 6)
GCF: 5x
b.
-12x² - 3xy - 4y²
GCF: 1
3.
a.
(2x + 7)(6x - 2)
2x(6x - 2) + 7(6x - 2)
12x² - 4x + 42x - 14
12x² + 38x - 14
b.
(3x - 1)²
(3x - 1)(3x - 1)
3x(3x - 1) - 1(3x - 1)
9x² - 3x - 3x + 1
9x² - 6x + 1
c.
(x + 3)(3x - 2) - (3x - 1)
3x(x + 3) - 2(x + 3)
3x² + 9x - 2x - 6
3x² + 7x - 6 - (3x - 1)
3x² + 7x - 6 - 3x + 1
3x² + 4x - 5
I hope this helps!
What is the perimeter of this quadrilateral?
(5,5)
(2, 4)
(4, 1)
(6, 1)
[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{5}~,~\stackrel{y_1}{5})\qquad B(\stackrel{x_2}{2}~,~\stackrel{y_2}{4}) ~\hfill AB=\sqrt{[ 2- 5]^2 + [ 4- 5]^2} \\\\\\ AB=\sqrt{(-3)^2+(-1)^2}\implies \boxed{AB=\sqrt{10}} \\\\[-0.35em] ~\dotfill\\\\ B(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad C(\stackrel{x_2}{4}~,~\stackrel{y_2}{1}) ~\hfill BC=\sqrt{[ 4- 2]^2 + [ 1- 4]^2}[/tex]
[tex]BC=\sqrt{2^2+(-3)^2}\implies \boxed{BC=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ C(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad D(\stackrel{x_2}{6}~,~\stackrel{y_2}{1}) ~\hfill CD=\sqrt{[ 6- 4]^2 + [ 1- 1]^2} \\\\\\ CD=\sqrt{2^2+0^2}\implies \boxed{CD=2} \\\\[-0.35em] ~\dotfill\\\\ D(\stackrel{x_1}{6}~,~\stackrel{y_1}{1})\qquad A(\stackrel{x_2}{5}~,~\stackrel{y_2}{5}) ~\hfill DA=\sqrt{[ 5- 6]^2 + [ 5- 1]^2}[/tex]
[tex]DA=\sqrt{(-1)^2+4^2}\implies \boxed{DA=\sqrt{17}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Perimeter}}{\sqrt{10}~~ + ~~\sqrt{13}~~ + ~~2~~ + ~~\sqrt{17}}~~ \approx ~~ 12.89[/tex]
1. Given the following rectangle and circle, at what approximate value of x are the two areas equal?
Answer:
x = 0.86
Step-by-step explanation:
(3x - 1)(x + 6) = 3.14159 × (x + 1)²
3x² + 17x - 6 = 3.14159 × (x² + 2x + 1)
-0.14159x² + 10.7168x - 9.14159 = 0
x² - 75.6875x + 64.5626 = 0
[tex] x = \dfrac{-(-75.6875) \pm \sqrt{(-75.6875)^2 - 4(1)(64.5626)}}{2(1)} [/tex]
x = 74.825 or x = 0.8628
Answer: x = 0.86
It is:
x = 0.86
i took the test and got it right, but we go to the same school lol, I just go to the Arizona version.
write the multipulcation equation you can also use to find 1/3 of 1/5
Answer:
0.33 × 0.2 = 0.066 or [tex]\frac{1}{3}[/tex] × [tex]\frac{1}{5}[/tex] = [tex]\frac{1}{15}[/tex]
The solution is, 1/3 of 1/5 is 0.667.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
given that,
we have to find 1/3 of 1/5
now, let,
x be the required number.
so, we get,
1/3 × 1/5 = x
or, x = 1/15
or, x = 0.667
Hence, The solution is, 1/3 of 1/5 is 0.667.
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Solve the following system by graphing. 5x+2y=10 4x−y=−18
Answer:
x = -2, y = 10
Step-by-step explanation:
express the following rational algebraic expression to its simple form.show your solution
4. ײ - 1 / ײ - 2×+1
Answer:
[tex]\dfrac{x+1}{x-1}[/tex]
Step-by-step explanation:
Given expression:
[tex]\dfrac{x^2-1}{x^2-2x+1}[/tex]
Factor the numerator and denominator
[tex]\implies \dfrac{(x+1)(x-1)}{(x-1)(x-1)}[/tex]
Factor out the common term [tex](x-1)[/tex]:
[tex]\implies \dfrac{x+1}{x-1}[/tex]
[tex]\rm{blue{ANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWER:}}[/tex]
[tex]\red{••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
[tex]\rm The\ answer\ is \rightarrow \red{\dfrac{x + 1}{x - 1}}[/tex][tex]\red{••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
[tex]blue{\boxed{ \red{\rm {CarryOnLearning!}}}}[/tex]
What is the distance in inches between the 8th fret and the 5th fret
Answer:
12 inchis
Step-by-step explanation:
Cora works as a plumber and earns $50 per house call, plus $18 for every hour of work. She billed a customer $104, but forgot how long she worked. To solve for the number of hours, she subtracted 50 from 104 and then divided by 18.
Answer:
Cora worked 3 hours
Step-by-step explanation:
104 = 18x + 50 ( x = # of hours worked)
54 = 18x ( subtracted 50 from both sides)
3 = x ( divided both sides by 18)
Albert has a rectangular print that is 1 foot in length and 8 inches in width. He wants to reduce the dimensions of the print proportionally so that the new print has a width of 3 inches. What should be the length of the new print?
Answer:
2.6 inches
Step-by-step explanation:
As shown in the title if length is x,
x * 1/x = 8/3 * x
8 * 1 = 3x
x = 8/3 in
= 2.6 in
The new length of the rectangular print will be 2.68 feet.
What is a rectangle?A rectangle is a geometrical figure in which opposite sides are equal.
The angle between any two consecutive sides will be 90 degrees.
Area of rectangle = length × width.
Perimeter of rectangle = 2( length + width).
Given a rectangular print with dimensions,
Length = 1 foot = 12 inches
Width = 8 inches.
Area = 12(8) = 96 square inches
Now,
The area of the new print should be the same
So,
96 = Length × 3
Length = 32 inches = 2.67 feet.
Hence "The new length of the rectangular print will be 2.68 feet".
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Square a root of 32761 by division method
Answer:
181..
Step-by-step explanation:
1 8 1 < answer
-----------
32761
1 1
227
28 224
361
361 361
Find the missing measurement using the given scale factor. B А scale factor from A to B = 1:7
Answer:
? = 49
Step-by-step explanation:
To solve this we just need to understand that when A=1, B=7. So when the side for a is 7 that is basically multiplying A by 7 so we have to do the same to the B side. So when the B side is multiplied by 7 it would be 7*7 =49 so the ? is equal to 49 when that similar side is equal to 7.
This is all based on the fact that the two triangles must be similar triangles.