Answer:
The smaller dimension of the pool is 14 ft.
The larger dimension of the pool is 35 ft.
Step-by-step explanation:
We are told that:
The rectangular swimming pool is 6 ft deep. Thus, depth: h = 6 ft
One side of the pool is 2.5 times longer than the other.
Thus, length = 2.5(width)
l = 2.5w and width = w
Volume; V = lwh = (2.5w × w × 6) = 15w²
The amount of water needed to fill the swimming pool is 2940 cubic feet.
Thus;
15w² = 2940
w² = 2940/15
w² = 196
w = √196
w = 14 ft
Length: L = 2.5w = 2.5 × 14 = 35 ft
4.5÷6=
estimate the quotient
Answer:
0.75 - 0.8
Step-by-step explanation:
4.5/6 = 0.75
The closest number to round 0.75 to is 0.8
We are given the expression:
4.5 / 6
Simplifying the given expression:
We can rewrite 4.5 as 4/10:
[tex]\frac{45}{10}*\frac{1}{6}[/tex]
Since 45 and 6 have a common factor: 3
[tex]\frac{3*15}{10}*\frac{1}{3*2}[/tex]
The 3 in the numerator and the denominator will cancel out:
[tex]\frac{15}{10}* \frac{1}{2}[/tex]
We know that 15/2 is 7.5
[tex]\frac{7.5}{10}[/tex]
0.75
Hence, the quotient of the expression: 4.5/6 is 0.75
The ordered pair (1, -2) is a solution to the system of linear equations.
2x + y = 0
-x + 2y = 5
True
False
Answer:
False
Step-by-step explanation:
2x + y = 0
Try (1, -2)
2(1) + (-2) = 0
2 + (-2) = 0
0 = 0
The solution works on the first equation.
-x + 2y = 5
-(1) + 2(-2) = 5
-1 - 4 = 5
-5 = 5
The solution does not work in the second equation.
Answer: False
Wayne has a recipe on an index card with a length of 3 inches and a width of 5 inches. He wants to enlarge to 15 inches long. How wide will the enlargement be?
A 9 inches
B 13 inches
C 25 inches
D 45 inches
Answer:
a) 9 inches
is correct answer for you
Answer:
C, 25
Step-by-step explanation:
3 x 5 = 15
5 x 5 = 25
Consider the solution to the linear equation.
5 (x + 6) = 50. 5 x + 30 = 50. 5 x = 20. x = 4.
Which describes the inverse operations used after the distributive property?
addition then division
subtraction then division
multiplication then subtraction
division then addition
the answer is b
Answer:
the answer is b i think
Step-by-step explanation:
12345
El tripe de a edad de pedro mas 2 es igual a la edad actual de pedro mas 6. ¿Cuál es la edad actual de pedro?
Answer: Pedro tiene 2 años.
Step-by-step explanation:
Definamos la variable P como la edad de Pedro.
Sabemos que " El triple de la edad de pedro, más 2, es igual a la edad actual de pedro más 6"
Esto se escribe como:
3*P + 2 = P + 6.
Para encontrar la edad de Pedro, tenemos que resolver esa ecuación.
Para hacerlo, el primer paso es llevar todos los términos con "P" al lado izquierdo, y los términos sin "P" al lado derecho.
3*P - P = 6 - 2
2*P = 4
Ahora podemos dividir por 2 en ambos lados:
2*P/2 = 4/2
P = 2
Entonces podemos concluir que Pedro tiene 2 años.
Could someone please answer this I will give a brainless if answer correctly and explained
Answer:
SSS
Step-by-step explanation:
The SSS theorem is the side-side-side theorem. Basically, since all three sides from one triangle is congruent to the corresponding sides of the other triangle, then the triangles have to be congruent. There are other theorems such as the SAS theorem (side-angle-side), but since the question only give us the fact that the sides are congruent, its SSS. Sorry, I hope this is good enough. XD
The value of y varies directly with x, and y =-10 when x=40, identify the value of y when x =-5
Answer:
I think that answer is 5 or 35
A truck driver is able to move 48 kg in 20 weeks. Find the unit rate of how many kilograms the truck driver is able to move per week. Round to the nearest tenth.
Answer:
2.4 kg/week
Step-by-step explanation:
(48 kg)/(20 weeks) = 2.4 kg/week
CAN YALL PLEASE HELP ME ❗️❗️❗️PLEASEEE
Answer:
1) intersection of both lines is the solution: (-3, 1)
2) y = -1/6x + 1 will produce a perpendicular line and intersect at only one point (slopes of 6 and -1/6 are opposite and reciprocal, thereby producing perpendicular lines)
3) 'b' can be any value except 1
Step-by-step explanation:
A kite flying in the air has a 12-ft line attached to it. Its line is pulled taut and casts a 10-ft shadow. Find the height of the kite. If necessary, round your answer to the nearest tenth.
What is the sum of the first five terms of the geometric series 3 − 6 + 12 − . . . ?
Answer:
33Step-by-step explanation:
The nth term of a geometric sequence is expressed as;
Sn = a(r^n - 1)/r - 1
a is the first term of the sequence
r is the common ratio
n is the number of terms
From the sequence;
a = 3
r = -6/3 = 12/-6 = -2
n = 5 (since are looking for the sum of first five terms)
Substitute into the formula;
S5 = 3((-2)^5 - 1)/-2 - 1
S5 = 3(-32-1)/-3
S5 = 3(-33)/-3
S5 = -(-33)
S5 = 33
Hence the sum of the first five terms of the sequence is 33
which graph best represents y= -x^2*6x-1
Answer:
c is the correct answer
Step-by-step explanation:
Answer:
Correct Answer is B
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex: (−3,−10)
Focus: (−3,−[tex]\frac{39}{4}[/tex])
Axis of Symmetry: x = −3
Directrix: y = −[tex]\frac{41}{4}[/tex]
x y
-5 -6
-4 -9
-3 -10
-2 -9
-1 -6
Please help me thank you
Answer:
90
Step-by-step explanation:
90
If VY = 27, VZ = 18, and VW=8, find WX.
X
w
Z Y
Answer:
X is the answer
Step-by-step explanation:
Answer:
x is the answer because it is
What is the 21st term of the sequence with a1 = -6 and d = 4?
choices-
74
70
78
-40
Answer:
[tex]\boxed {\boxed {\sf 74}}[/tex]
Step-by-step explanation:
The nth term of an arithmetic sequence can be found using the following formula.
[tex]a_n=a_1+(n-1)d[/tex]
Where n is the term, a₁ is the first term, and d is the common difference.
We want to find the 21st term, we know the first term is -6, and the common difference is 4.
[tex]n= 21\\a_1= -6 \\d=4[/tex]
Substitute the values into the formula.
[tex]a_{21}=-6+(21-1)4[/tex]
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
Solve inside the parentheses.
[tex]a_{21}=-6+(20)4[/tex]
Multiply 20 and 4.
[tex]a_{21}= -6+80 \\[/tex]
Add -6 and 80.
[tex]a_{21}=74[/tex]
The 21st term of the sequence is 74
Answer:
SoluTion :-Here we will use the formula
[tex] \tt \: a_n \: = a_1 +( n - 1)\: \times d[/tex]
[tex] \tt\: a_{21} = −6+(21−1)4[/tex]
By using PEMDAS
[tex] \tt \: a_{21} = - 6 + (20)4[/tex]
[tex] \tt \: a_{21} \: = - 6 + 80 = 74[/tex]
[tex] \huge \tt \bigodot \: \: 74[/tex]
AJKL and ALMN are shown.
Answer:
mLNM=63
Step-by-step explanation:
triangle JKL is isocelese so mKJL and KLJ are the same
180-72=108
108/2=54
so both mKLJ and mMLN are equal
and since triangle LMN is an isoceles then mLNM and mLMN are equal to each other
so 180-54=126
126/2=63
mLNM=63
Plzz help me thank you
Answer:
A
Step-by-step explanation:
Please help me pleasee!
Answer:
3) (4, 2)
Step-by-step explanation:
The point of intersection of the lines is the solution. That point is (4, 2).
Answer: 3) (4, 2)
Answer:
the answer is the third one (4, 2)
Step-by-step explanation:
the solution to a system of equations is always where they intersect. in this case, the two lines intersect at (4, 2), which means that the solution is (4, 2).
hope this helped!! :D
Proportions! Please help quick!
Answer:
1. 3/195, 5/325, 9/585, 10/650
2. 2/15, 3/22.50, 5/37.50, 8/60
Step-by-step explanation:
Antonio completed the right column of the table to help him find the sum of 2/9 and 1/5. In which step did his first error occur?
Answer:
Step 1
Step-by-step explanation:
His first error occurred in step 1.
The common denominator of [tex] \frac{2}{9} [/tex] and [tex] \frac{1}{5} [/tex] is 45, and not 14.
Common denominator of both fractions, is a number of which both 9 and 5 are its factor. That is, it is a common multiple of 9 and 5.
45 can be divided by 9 without remainder. Also 45 can be divide by 5 without a remainder.
45 would make both fractions common not 14.
A bracelet costs $39.59. It is marked down 25%.
What is the final price of the bracelet after it is marked down?
$9.90
$29.69
$35.49
$49.49
Answer:
$29.69
Step-by-step explanation:
Marked down 25% means it is now worth 75% of original value.
0.75*39.59 = $29.69
please give thanks by clicking the heart buton :) happy holidays
Answer:
$29.70
Step-by-step explanation:
$39.59 / 4 = 9.8975. Round up to 9.90
$39.59 - $9.90 = $29.69
Mr.Johnson leaves on a trip planning to travel 24 mph
Which of the following is equivalent to the expression 1/2x+4x-1/2x+60?
Answer:
4(x + 15)
Step-by-step explanation:
1/2x - 1/2x = 0
You're then left with 4x + 60
Factor out the 4 and you get 4(x + 15)
Answer: ITS C.
Step-by-step explanation: It’s not B I took the test and put C and got it right
find the measure of the line segment TR
9514 1404 393
Answer:
24
Step-by-step explanation:
The product of lengths from the point where the secants meet to the near and far circle intersection points is the same for both secants.
RQ·RC = RS·RT
8(27) = (3x)(8x)
9 = x^2 . . . . . . . . . divide by 24
3 = x
Then the length of interest is ...
TR = 8x = 8·3
TR = 24
Help I’ll give brainliest I don’t know the answer it’s for a grade :/ help bruh
Answer:
D
Step-by-step explanation:
Hope this helps. :) :D
Answer:
the answer is d.) (1,9)
Step-by-step explanation:
Really hope this helps xx
A shareholders' group, in lodging a protest, claimed that the mean tenure for a chief executive office (CEO) was at least seven years. A survey of companies reported in the Wall Street Journal found a sample mean tenure of years for CEOs with a standard deviation of years. a. Formulate hypotheses that can be used to challenge the validity of the claim made by the shareholders' group. - Select your answer - - Select your answer - b. Assume companies were included in the sample. What is the -value for your hypothesis test
Complete question is;
A shareholders’ group, in lodging a protest, claimed that the mean tenure for a chief executive office (CEO) was at least seven years. A survey of companies reported in The Wall Street Journal found a sample mean tenure of x¯ = 7.27 years for CEOs with a standard deviation of s = 6.38 years (The Wall Street Journal, January 2, 2007).
a. Formulate hypotheses that can be used to challenge the validity of the claim made by
the shareholders’ group.
b. Assume 85 companies were included in the sample. What is the p-value for your hypothesis
test?
Answer:
A) Null hypothesis: H0: μ ≥ 7
Alternative hypothesis: μ < 7
B) p-value = 0.3488
Step-by-step explanation:
A) We are told that the shareholders group claimed that the mean tenure for a chief executive office (CEO) was at least seven years.
Thus, defining the hypothesis, we have;
Null hypothesis: H0: μ ≥ 7
Alternative hypothesis: μ < 7
B) Sample mean: x¯ = 7.27 years standard deviation: s = 6.38 years
Sample size = 85
Formula for the test static is;
t = (x¯ - μ)/(s/√n)
t = (7.27 - 7)/(6.38/√85)
t = 0.39
From online p-value from t score calculator attached using: t = 0.39, DF= 85 - 1 = 84, significance value = 0.05, one tail, we have;
p-value = 0.3488
what
is 20 times 50 divided by 9009 added by 10101010 and subtracted by 675098
...
Answer:
9425912.111
Step-by-step explanation:
Answer:
9425912.111
Step-by-step explanation:
A snail takes 24 min to travel 5 ft. At this rate, how many inches does the snail travel every hour?
Answer:
150 in
Step-by-step explanation:
18
Write an equation in POINT-SLOPE FORM for the line that has a slope of
1
5
and passes through (1,-2).
What’s the equation of “two more than a certain number is 15 less than the product of 7/8 and the number”
Answer:
2+x=15-7/8x
Step-by-step explanation:
Answer:
Step-by-step explanation: the answer is -136 because you have the follow the steps of pemdas