Answer:
-23/12 or -1.91666666667
Unit Test Review
Active
1
leto
A triangle has side lengths measuring 2x + 2 ft, x + 3 ft,
and n ft.
COS
Which expression represents the possible values of n,
in feet? Express your answer in simplest terms.
x-1
n = 3x + 5
O n = 1 - 1
O 3x + 5
Answer:
x - 1 < n < 3x + 5
Step-by-step explanation:
If you have two sides of a triangle, the length of the third side is at least the difference between the other two sides, and at most the sum of the other two sides.
Janet has 17 quarters and $13 in bills. How much total money does she have? *
Answer: 17.25
Step-by-step explanation:
17 x 25= 425. Obviously we can’t leave it like that. So 100 cents is one dollor right?
That means there are four dollars. Made up just by the quarters alone. Now we have to add the 13 dollars 13+4 =17.Now add back the 25 cents to make $17.25
Janet has $17.25
=)
Part A: Marguerite rented a truck at $125 for 2 days. If she rents the same truck for 5 days, she has to pay a total rent of $275.
Write an equation in the standard form to represent the total rent (y) that Marguerite has to pay for renting the truck for x days. (4 points)
Part B: Write the equation obtained in Part A using function notation. (2 points)
Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)
(10 points)
Answer:
y = 50x+25
f(x) = 50x+25
Step-by-step explanation:
Using the slope intercept form of the equation, y = mx+b
where x is the amount per day and b is the flat fee
2 days
125 = 2x+b
5 days
275 = 5x+b
Subtract
275 = 4x+b
125 = 2x+b
---------------------
150 = 3x
Divide by 3
150/3 = 3x/3
50 =x
The cost per day is 50 dollars
y = 50x +b
Using the data for 2 days
125 = 50*2 +b
125 = 100 +b
125-100 = b
b = 25
The equation is y = 50x+25
f(x) = 50x+25
To graph, The x axis is number of days and the y axis is total cost
The number of days starts with 0, which is the y intercept
Let x = 0, y =25
Using the slope, we go 50 up and 1 to the right ( 50 dollars per day)
The next point plotted ins ( 1,50)
Draw a straight line
Answer:
y = 50x+25
f(x) = 50x+25
It costs Danny $5 to park his car at a parking meter for 2 hours. What is the
price to park for 1 hour?
Answer:
$2.50
Step-by-step explanation:
Answer:
$2.5
Step-by-step explanation:
Graph f(x) = 3[x] + 9
helpppppp pllzzzzzzzzz
Answer:
The length of side of largest square is 15 inches
Step-by-step explanation:
The given suares are when joined in the way as shown in picture their sides form a right agnled triangle.
Area of square 1 and perimeter of square 2 will be used to calculate the sides of the triangle.
So,
Area of square 1: 81 square inches
[tex]s^2 = A\\s^2 = 81\\\sqrt{s^2} = \sqrt{81}\\s = 9[/tex]
Perimeter of square 2: 48 inches
[tex]4*side = P\\4* side = 48\\side = \frac{48}{4}\\side = 12\ inches[/tex]
We can see that a right angled triangle is formed.
Here
Base = 12 inches
Perpendicular = 9 inches
And the side of largest square will be hypotenuse.
Pythagoras theorem can be used to find the length.
[tex](H)^2 = (P)^2+(B)^2\\H^2 = (9)^2+(12)^2\\H^2 = 81+144\\H^2 = 225\\\sqrt{H^2} = \sqrt{225}\\H = 15[/tex]
Hence,
The length of side of largest square is 15 inches
Can someone help me with these two problems?
Answer:
1. In first question I guess the answer will be: last point
There are no mistakes. Answer is correct.
The first 3 figures in a pattern are shown. image Which of the following functions represents f(n), the number of small squares in figure n? A. f(n) = n2 – 1 B. f(n) = 2n2 + 1 C. f(n) = (n + 1)2 + 1 D. f(n) = (n + 1)2 – 1
Answer:
A
Step-by-step explanation:
A is n= n2 -1 so thats the answer
PLEASE HELP ASAP!! I AM PRETYY SURE THE ANSWER IS 10 BUT I NEED THE STEPS
An office space is for rent downtown. The rate is $17 per square foot per
month. The space measures 20 ft x 19 ft. How much will it cost to rent this
space for a year?
A. $6460
B. $73,644
O C. $91,200
D. $77,520
Answer:
$77,520
Step-by-step explanation:
The table below shows pairs of value that satisfy a linear function.
What is the y-intercept of the graph of this function?
Answer:
-27
Step-by-step explanation:
OMG PLEASE HELP!!! NEED WITHIN FEW HOURS!! The diagram shows three circles with radii r=10 cm. The centers also form the vertices of an equilateral triangle.
Answer: 16.205 cm²
It takes some time, but it's not impossible!
Step-by-step explanation:
Find the area of the triangle, then subtract the area of the three sectors.
The three sectors are each 60° so they add to 180° which is equivalent to half the area of one circle.
The area of the triangle is one half base times height. To find the height of the triangle, use the Pythagorean Theorem to get the length of the perpendicular bisector.
a² + b² = c² .
C is the side length, 20cm. (the length of two radii) B is half the side length 10cm. A is the "altitude" or height we need to find.
a² + 10² = 20²
a² + 100 = 400 . a² = 400-100
a² = 300
a = √300 a ≈ 17.3205
Area of triangle: A= bh/2
A = (20 × 173.205)/2
Triangle Total Area ≈ 173.205
To the area of the circle, use the equation A = πr²
A = 3.14 × 10²
A = 3.14 × 100
Circle Total Area = 314 cm².
You could take 1/6 of that, and then multiply by 3, or just take half
Area of sectors= 157 cm²
Triangle Area - Sectors Area = Blue shape Area
173.205 - 157 ≈ 16.205 cm²
Hi, are you still active?
Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
Answer:
X = 57*
Step-by-step explanation:
Answer:57 degrees
Step-by-step explanation:
x is congruent to the given angle 57 degrees because of its opposite side positioning on the parallel angles
Which of the following is the quotient of the rational expressions shown below? Make sure your answer is in reduced form.
Answer:
The answer is B.
Step-by-step explanation:
First, you have to convert division into multiplication and cross out the common term :
[tex] \frac{3x - 6}{ {x}^{3} } \div \frac{x - 2}{2x - 1} [/tex]
[tex] \frac{3(x - 2)}{ {x}^{3} } \times \frac{2x - 1}{x - 2} [/tex]
[tex] \frac{3}{ {x}^{3} } \times (2x - 1)[/tex]
[tex] \frac{3(2x - 1)}{ {x}^{3} } [/tex]
[tex] \frac{6x - 3}{ {x}^{3} } [/tex]
The quotient of the rational expressions is [tex]\frac{6x - 3}{x^2}[/tex]
calculation:[tex]= \frac{3x - 6}{x^3}\div \frac{x-2}{2x - 1} \\\\= \frac{3(x - 2)}{x^3} \times \frac{2x-1}{x-2}\\\\ = \frac{3}{x^3} \times (2x - 1)\\\\= \frac{3(2x - 1)}{x^2}\\\\ = \frac{6x - 3}{x^2}[/tex]
Find out more information about the equation here:
https://brainly.com/question/2263981?referrer=searchResults
Which equations match the graph?
5 STARS AND BRAINLYEST
Answer:4
Step-by-step explanation:
An isosceles triangle has base angles that each measure 23 degrees. Which equation can be used to find x, the measure of third angle of this isosceles triangle in degrees?
Answer:
since a triangle measures up to 180 degrees getting the value of x will be all angles added together equals to 180.
(base angles) + x = 180°
46° + x = 180°
this is what I think good luck
The measure of third angle of this isosceles triangle is 134 degrees.
What is Angle Sum Property?According to the triangle's "angle sum property," a triangle's interior angles add up to 180°.
S = (n-2)*180° is the angle sum property formula for any polygon, where 'n' represents the number of sides in the polygon.
Given:
Two Base angles is 23 degree.
and third angle is x.
Using Angle Sum property
x + 23+ 23 =180
x +46 =180
x= 180- 46
x= 134
Hence, the third angle is 134 degree.
Learn more about Angle Sum Property here:
https://brainly.com/question/4316040
#SPJ2
ANSWER CORRECTLY
-2.5 - 5.5=
MUST SHOW YOUR WORK
good luck
Answer:
the answer is -7.7
Step-by-step explanation:
−2.2−5.5
−2.2+ −5.5
= --7.7
hope it helps :)
Answer:
The answer is -8
Step-by-step explanation:
-(2.5+5.5)
-8
A jacket was on sale for 20% off its original price of $60. Now, it is on sale for an additional 10% off its previous sale price. Determine whether each statement is true or false.
Step-by-step explanation:
The question is incomplete, here is the complete one
A jacket was on sale for 20% off its original price of $60. Now, it is on sale for an additional 10% off its previous sale price. Determine whether each statement is true or false. The jacket is now 40% off its original price. True or false The jacket now costs $48.00. True or false The jacket is now 72% of its original price. True or false The jacket now costs $43.20. True or false
Step one:
given
original price= $60
discount =20% of 60
discount = 20/100*60
discount = 0.2*60
discount = $12
selling price= 60-12= $48
Added price= 10% off $48
Added price= 10/100 *48
Added price= 0.1 *48
Added price= $4.8
new price= 4.8-48=$43.2
the new price of the jacket is $43.2
1. The jacket is now 40% off its original price
40/100*60=$24-----False
2. The jacket now costs $48.00-----False
3. The jacket is now 72% of its original price= 72/100*60=$43.2----True
4. The jacket now costs $43.20------True
Titus is asked to prove hexagon FEDCBA is congruent to hexagon
F'E'D'C'B'A' in the graph below. Titus thinks that if he transforms hexagon
FEDCBA by (x,y) - (x + 16. y - 10) he can show the two figures are
congruent. Is he correct? Explain why or why not. If Titus is incorrect, what
series of transformations will correctly prove FEDCBA F'E'D'C'B'A'S
у
6
В.
>E
4
2
с
D
-14 -12 -10 -8
x
-6
4
2
4
6
8
10 12
-20
-2
in
A'
4
E!
-6
В"
-8
lo
c
-10
Is Titus correct? YES NO
Explain why or why not (required)
Answer:
correct
Step-by-step explanation:
he is correct because the transformation is a translation and under the translation the image and preimage are congruent.
the measure of the sides are preserved, and the peasure of the angles are preserved so if all the corsponding sides and angles are congruent the hexagons are congruent too
Answer:
(x, y) -----> ( - x , y - 10 )
Step-by-step explanation:
Titus is not correct.
There are two transformations will correctly prove FEDCBA ≅ F'E'D'C'B'A'
First transformation is Reflection over y-axis , then translation 10 units down.
The final formula is ( - x , y - 10 )
Ok I need help ASAP because my homework is due In 20 minutes and my question is what is 34x(6+12)5x16 please someone answer!!!!
Answer: 3060x17
Step-by-step explanation: because you have to multiply the numbers all of them
-5(8) will give brainlyest
Answer:
-5 x 8 = -40
Step-by-step explanation:
Answer:
-14
Step-by-step explanation:
-5x8 = 14
Write and evaluate the expression.Check all that apply. Write the expression as 11 +t2 -6 Write the expression as 11 +2t -6 Write the expression as 11 +StartFraction t Over 2 EndFraction -6 The value when t = 5 is 16. The value when t = 5 is 30. The value when t = 5 is 7.5.
Answer:
7.5Step-by-step explanation:
Given the expression 11 + t/2 - 6, we are the find the output value when t = 5. To do that, we will simply substitute t = 5 into the given expression as shown;
f(t) = 11 + t/2 - 6
f(5) = 11 + 5/2 - 6
f(5) = 11 + 2.5 - 6
f(5) = 13.5 - 6
f(5) = 7.5
Hence the value of the function when t = 5 is 7.5
Answer:
A,E
Step-by-step explanation:
thx person in the comments
got it right btw to
The heights, in inches, of five players on a basketball
team are 68, 70, 76, 71, and 70. What is the mean
height, in inches, of these players?
A race follows a triangular course. The three legs of the race are, in order, 0.80 km, 2.05 km, and 2.15 km. Find the angle
between the starting leg and the last leg of the race.
Answer:
2.15 km
Step-by-step explanation:
Given that the points
(16, -5) and (-40, 16) lie on a line, what is the slope of the line?
A. -3/8
B. -8/3
C. 3/8
D. 8/3
Answer:
The answer is A.
Step-by-step explanation:
y²-y¹/x²-x¹
16-(-5)/(-40)-16
21/-56
= -3/8
Can someone help me and show steps I’ll mark you brainliest
Answer:
y = 2x + 21
Explanation:
The slope is 2 so it would go for mx
The y-inter. for the graph is 21
your equation is y = 2x + 21
Peter says, "If you subtract 13 from my number and multiply the difference by - 4, the result is -100." What is Peter's number?
Peter's number is
Answer:
-38
Step-by-step explanation:
-25 + 13 = -38
-38 - 13 = -25
-25 x 4 = -100
formula: x - 13 = -25
Factor 5n^2 - 4n - 12 by grouping. Please show the steps.
Answer:
(n - 2)(5n + 6)
Step-by-step explanation:
Given
5n² - 4n - 12
Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term
product = 5 × - 12 = - 60 and sum = - 4
The factors are - 10 and + 6
Use these factors to split the n- term
5n² - 10n + 6n - 12 ( factor the first/second and third/fourth terms )
= 5n(n - 2) + 6(n - 2) ← factor out (n - 2) from each term
= (n - 2)(5n + 6) ← in factored form
Taira used 3/4 of her flour to make 2/5 of a batch of bannock. How much of her flour would she need to make a whole batch?
Answer:
15/8 or 1.875
Step-by-step explanation:
Let x represent a whole batch of bannock. Taira used 3/4 of her flour to make 2/5 of a whole batch so we can write the equation like this.
3/4=2/5x
Isolate x by multiplying the left side by the reciprocal of 2/5.
15/8=x
Triangle A B C with centroid G is shown on an x and y-axis. Lines are drawn from each point through the centroid to the opposite side to form line segments A F, B D, and C E. Point A is at (0, 0), point D is at (c, 0), point C is at (2 c, 0), point B is at (2 a, 2 b), point F is at (a + c, b),and point E is at (a, b).
The equation of line Line A Gis y = (StartFraction b Over a + c EndFraction)x. The midpoint of BC is (a + c, b). Does the midpoint of BC lie on Line A G? Why or why not?
no, because (StartFraction b Over a + c EndFraction)b does not equal a + c
no, because (StartFraction b Over a + c EndFraction)(a + c) does not equal b
yes, because (StartFraction b Over a + c EndFraction)b = a + c
yes, because (StartFraction b Over a + c EndFraction)(a + c) = b
Answer:
Its D my friend
Step-by-step explanation:
Answer:
(D) yes, because (StartFraction b Over a + c EndFraction)(a + c) = b
Step-by-step explanation:
Triangle A B C with centroid G is shown on an x and y-axis. Lines are drawn from each point through the centroid to the opposite side to form line segments A F, B D, and C E. Point A is at (0, 0), point D is at (c, 0), point C is at (2 c, 0), point B is at (2 a, 2 b), point F is at (a + c, b),and point E is at (a, b).The equation of line Line A Gis y = (StartFraction b Over a + c EndFraction)x. The midpoint of BC is (a + c, b). Does the midpoint of BC lie on Line A G? Why or why not?
(A) no, because (StartFraction b Over a + c EndFraction)b does not equal a + c
(B) no, because (StartFraction b Over a + c EndFraction)(a + c) does not equal b
(C) yes, because (StartFraction b Over a + c EndFraction)b = a + c
(D) yes, because (StartFraction b Over a + c EndFraction)(a + c) = b
