32$ per bundle of shingles
20$ per roll of roofing paper
256÷8 = 32 (price of per bundle of shingles)
32×30 = 960 ( price of 30 bundles of shingles)
1040-960 = 80( price of 4 rolls of roofing paper)
80÷4 = 20 ( price of per roll of roofing paper).
Rowanda jogged 2.13 kilometers farther than Terrance.
Select the values that could represent how far each student jogged.
Select all that apply.
A Rowanda: 6.9 km, Terrance: 4.77 km
B Rowanda: 4.7 km, Terrance: 2.67 km
C Rowanda: 7.27 km, Terrance: 5.14 km
D Rowanda: 3.52 km, Terrance: 1.49 km
Answer:
A and C
Step-by-step explanation:
Please help me thanks! :)
Answer:
eyjdnfbhs
Step-by-step explanation:
Prove that if triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides, their associated Saccheri quadrilaterals are congruent. (HINT: Recall that the angle sum for a triangle is equal to the sum of the measures of the summit angles of its associated Saccheri quadrilateral and that the two summit angles of a Saccheri quadrilateral are congruent.)
Answer:
According to theorem 7.5
Π ABB'A' ≅ Π DEE'D'
therefore by transitivity of equivalence it is proven that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides
Step-by-step explanation:
To prove that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides :
Assume: б(Δ ABC ) = б(Δ DEF ) and also AB ≅ DE
let Π ABB'A' and DEE'D' be taken as the saccheri quadrilaterals that corresponds to Δ ABC and Δ DEF respectively
Following the Lemma above; б(Π ABB'A' ) = б( Π DEE'D' ) given that
AB = summit of ABB'A' and DE = summit of DEE'D' also AB ≅ DE
According to theorem 7.5
Π ABB'A' ≅ Π DEE'D'
therefore by transitivity of equivalence it is proven that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides
( EXTRA POINTS PLEASE HELP ) you have a square that measures 5 cm as you have a triangle that has a base of 5 cm and a height of 8cm what is the total area of the square and the triangle
Step-by-step explanation:
[tex] {5}^{2} + \frac{5 \times 8}{2} = \\ = 25 + 20 = \\ = 45[/tex]
s – 34% Americano, 21% Cappuccino, 14% Espresso, 11% Latte, 10% Macchiato, 10% Other. In a random sample of 450 customers, he finds that 115 ordered Americanos, 88 ordered Cappuccinos, 69 ordered Espressos, 59 ordered Lattes, 44 ordered Macchiatos, and the rest ordered something in the Other category. Run a Goodness of Fit test to determine whether or not drink preferences have changed at his coffee shop. Use a 0.05 level of significance. Americanos Capp. Espresso Lattes Macchiatos Other Observed Counts 115 88 69 59 44 75 Expected Counts 153 94.5 63 49.5 45 45 Enter the p-value - round to 5 decimal places. Make sure you put a 0 in front of the decimal. P-value =___
Answer:
0.000005178
Step-by-step explanation:
we test for the goodness of fit
h0; drink preferences not changed
h1: drink preferences changed
alpha = 0.05
we solve for the test statistics
the chsquare test was performed in the attachment
Chi square = (O-E)²/E
chisquare = 32.30188
degree of freedom = n -1 = 6-1 = 5
using the chi distribution function on excel i calculated the p value
CHIDIST(32.30188, 5) =
P-value = 0.000005178
pvalue is less than 0.05 so we reject null hypothesis and conclude that there is sufficient evidence that drink preferences are changed.
the chisquare calculation is in the attachment. Thank you!
Write a quadratic equation with the given vertex.
Answer:
See below
Step-by-step explanation:
[tex]14. \: vertex \: ( - 4, \: - 3) \\ require \: quadratic \: equation \\ {x}^{2} - ( - 4 - 3)x + ( - 4)( - 3) = 0 \\ {x}^{2} + 7x + 12 = 0 \\ \\ 15. \: vertex \: ( - 2, \: 1) \\ require \: quadratic \: equation \\ {x}^{2} - ( - 2 + 1)x + ( - 2)( 1) = 0 \\ {x}^{2} + x - 2 = 0\\ \\ 16. \: vertex \: ( 3, \: 8) \\ require \: quadratic \: equation \\ {x}^{2} - ( 3 + 8)x + (3)( 8) = 0 \\ {x}^{2} + 11x - 24 = 0[/tex]
Please help with work!! Thank you!! Answers with random words will be reported!
Answer:
1) 75 2) 77.5
Step-by-step explanation:
The function is a quadratic function and its graph is a parabola. the term that multiplies q^2 is negative, so the vertex of the parabola is the max value.
1) V(x) = -3/-0.04 = 75
2) sobstitute q with 75 and solve
-112,5 + 225 - 35 = 77,5
If A denotes some event, what does Ā denote? If P(A) = 0.006, what is the value of PĀ)?
What does A denote?
[tex]A[/tex] denotes some event, [tex]\overline{A}[/tex] denotes the complement of [tex]A[/tex] that is [tex]\overline{A}[/tex]contains all the events that do not occur in A.
And, the value of [tex]P(\overline{A})[/tex] is, [tex]P(\overline{A}) = 0.994[/tex]
Used the concept of probability which states that,
[tex]P (A) + P(\overline{A}) = 1[/tex]
Where, [tex]A[/tex] and [tex]\overline{A}[/tex] are events.
When [tex]A[/tex] denotes some event, [tex]\overline{A}[/tex] denotes the complement of [tex]A[/tex] that is [tex]\overline{A}[/tex]contains all the events that do not occur in A.
Given that:
P(A) = 0.006
We used the formula of probability which stated that,
[tex]P (A) + P(\overline{A}) = 1[/tex]
Where, [tex]A[/tex] and [tex]\overline{A}[/tex] are events.
Substitute [tex]P (A) = 0.006[/tex] into the above formula,
[tex]0.006 + P(\overline{A}) = 1[/tex]
Subtract 0.006 on both sides,
[tex]P(\overline{A}) = 1 - 0.006[/tex]
Therefore, the value of [tex]P(\overline{A})[/tex] is,
[tex]P(\overline{A}) = 0.994[/tex]
So, If [tex]A[/tex] denotes some event, [tex]\overline{A}[/tex] denotes the complement of [tex]A[/tex].
And, [tex]P(\overline{A}) = 0.994[/tex]
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What is the correct factorization of 3x2 + 14x + 8?
a. (3x + 4) (x + 2)
b. (3x + 2)(x + 4)
c. (3x + 8) (x + 1)
d. (3x + 1)(X + 8)
Answer: hope it is helpful to you
Answer:
b.(3x+2)(x+4)
Step-by-step explanation:
3x²+14x+83x²+12x+2x+83x(x+4)+2(x+4)(3x+2)(x+4)hope it helps.
Use the shell method to compute the volume (CALCULUS HELP!!!)
Use the shell method. The volume is
V = 2π ∫₅⁸ (x - 5) x ² dx
V = 2π ∫₅⁸ (x ³ - 5x ²) dx
V = 2π (1/4 x ⁴ - 5/3 x ³) |₅⁸
V = π/6 (3x ⁴ - 20x ³) |₅⁸
V = π/6 ((3 × 8⁴ - 20 × 8³) - (3 × 5⁴ - 20 × 5³))
V = 891π/2
PLSSS HELP ME ASAPPPPPPP
what is the square unit of 5,469
Answer:
29909961
................
Hi I have a question pls DON’T give a link
Answer:
5. x=11
6.x=9
Step-by-step explanation:
5. 8 x 3=24
264/24=11
6. 4.5 x 4= 18
162/18=9
A school is arranging a field trip to the zoo. The school spends 541.31 dollars on passes for 34 students and 3 teachers. The school also spends 299.54 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?
Find the surface area of the prism below.
SA= square meters
Answer:
The surface area is 98 square feet.
Step-by-step explanation:
7 x 4 = 28
28 x 3 = 84
4 x 3.5 = 14
14 / 2 = 7
7 x 2 = 14
84 + 14 = 98
what a hypothesis in science
Suppose that you have $13,000 in a rather risky investment recommended by your financial advisor. During the first
year, your investment decreases by 40% of its original value. During the second year, your investment at the end of year
one increases by 50%. Your advisor tells you that there must have been a 10% overall increase of your original $13,000
investment. Is your financial advisor using percentages properly? If not, what is your actual percent gain or loss of your
original $13,000 investment?
Answer:
There is loss of 10%
Step-by-step explanation:
The total sum of money invested [tex]= 13000[/tex] dollars
In the first year, the Investment values decreases by 40%. The final investment value after one year
[tex]\frac{(100-40)}{100} * 13000\\7800[/tex]
Now in the second year the investment increases by 50%. The final investment value after second year
[tex]\frac{100+50}{100} *7800\\1.5 * 7800\\11700[/tex]
The investment value after second year is less than that of total sum invested
% loss
[tex]\frac{13000-11700}{13000} * 100\\10[/tex]percent
There is loss of 10%
The rule in this pattern is add 3. Write the next 4 terms of the pattern. What do you observe about the terms in the pattern? Explain why you think this pattern will continue to be this way.
An image of a pattern. Term one has five dots, term two has eight dots, term three has eleven dots. (4 points)
Mario found 12 rocks for his rock collection. His sister found five times as many rocks as Mario. How many rocks did Mario’s sister find? *
Pls help asap will gibe brainlist
Answer:
✧ First , I splited the given figure into three parts namely ABCD , EFGH & lastly IJKL ( See the attached picture). Now , We're gonna find out the area of these rectangles :
Area of ▭ ABCD = Length × Breadth = 12 × 8 = 96 in²Area of ▭ EFGH = Length × Breadth = 13 × 4 = 52 in²Area of ▭ IJKL = Length × Breadth = 12 × 6 = 72 in²♨ Now , Adding the area of ▭ ABCD , ▭ EFGH & ▭ IJKL :
☂ Total Area of the figure : 96 in² + 52 in² + 72 in² = [tex] \boxed{ \large{ \underline{ \tt{220 \: {in}^{2} }}}}[/tex]
☄ Hope I helped! ♡
♪ Have a wonderful day / night ! ♕
✎ [tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \:Learning}}}[/tex] ☃
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Ella and 3 friends are going ice skating. They hire 4 pairs of ice skates for 3 hours. The formula below is for working out the cost of hiring the stakes including a deposit.
C=s(3h+5)
C
= total cost
s
= number of pairs of ice skates
h
= number of hours
How much will it cost to hire 4 pairs of ice skates?
s = 4
h = 3
C = ?
C = s(3h + 5)
C = 4(3·3 + 5)
C = 4(9 + 5)
C = 4(14)
C = ?
ANSWER: It costs 56 dollars
Jenny is x years old. Thomas is 3 times as old as her. Jenny is 5 years older than Alexis.
A) Find Alexis's age in terms of x
B) Find Thomas's age in terms of x.
C) If x=12, how much older is Thomas than Jenny?..
Answer:
A) Alexis is x-5 years old
B) Thomas is 3x years old
C) Thomas is 24 years older than Jenny (3×12=36 ; 36-12)
Alexis's age is x - 5.
Thomas's age is 3x.
Thomas is 24 years older than Jenny.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
A)
Jenny = x years old
Alexis = 5 years younger than Jenny.
So,
Alexis's age in terms of x.
Alexis's age
= Jenny's age - 5
= x - 5
B)
Thomas = 3 times as old as Jenny.
Thomas's age in terms of x.
Thomas's age = 3x
C)
x = 12,
Jenny = 12 years old.
Alexis = 5 years younger than Jenny,
So,
Alexis's age
= Jenny's age - 5
= 12 - 5
= 7
Now,
Thomas = 3 times as old as Jenny.
And,
Jenny = 12 years old.
Thomas's age
= 3x
= 3 x 12
= 36
Now,
Thomas's age - Jenny's age
= 36 - 12
= 24
Therefore,
Alexis's age = x - 5.
Thomas's age = 3x
Thomas is 24 years older than Jenny.
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write the standard equation of the circle with the given Center and radius:
i would love help on this
9514 1404 393
Answer:
B. (x +4)² +(y +5)² = 64
Step-by-step explanation:
The equation for a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
Filling in your given values, you have ...
(x -(-4))² +(y -(-5))² = 8²
Simplifying, you get ...
(x +4)² +(y +5)² = 64 . . . . . . . matches choice B
_____
Additional comment
As you learn more different "standard form" equations, it may be helpful to keep a list, along with reminders of what the variables stand for and how the equation is used.
please help me with this question
find the volume of the following square pyramid. geometry
Answer:
Volume of a pyramid = lwh /3 ==12/3==4
Complete the square
to find the vertex
of this parabola.
72-82+2y+17=0
(2, [?])
Answer:
-1
Step-by-step explanation:
Complete the square to find the vertex of this parabola y^2-8x+2y+17=0 {The second answer is -1; so 2,-1 }
Find the area of each figure.Round to the nearest tenth if necessary square 17.6mm
Answer:
309.8 mm² (nearest tenth)
Step-by-step explanation:
[tex]\boxed{area \: of \: square = side \times side}[/tex]
Given that the side of the square is 17.6mm,
area of square
= 17.6 ×17.6
= 309.76
= 309.8 mm² (nearest tenth)
Which could be the function graphed below?
9514 1404 393
Answer:
(a) f(x) = √x -2
Step-by-step explanation:
The square root function has no horizontal shift, so the expression under the radical is simply x with no added terms. There is only one such answer choice, which also shows the necessary translation downward by an added negative constant.
[tex]f(x)=\sqrt{x}-2[/tex]
Answer:
the answer is A.
Step-by-step explanation:
:))))))
A company wants to design a cylindrical object that has a height of 10 cm and a volume of at least 2000 cm but not more than 2500 cm
Answer:
1750
Step-by-step explanation:
2000-10-240
Is 5/3 and 7/9 a similar fraction?
Answer:
No
Step-by-step explanation: