Answer:
450 minutes
Step-by-step explanation:
First, let's calculate the volume of the pool when filled. Volume will be: (length x width x height).
Volume = 6' x 5' x 2 ' = 60 ft^3
1 ft^3 of water occupies 7.5 gallons. That's a conversion factor for water: (7.5 gal)/(1 ft^3).
The total gallons of water in a filled pool would be:\
(60 ft^3)*((7.5 gal)/(1 ft^3)) = 4500 gallons
At a rate of 10 gallons/min, it would take:
(4500 gallons)/(10 gallons/min) = 450 minutes, or 450/60 = 7.5 hours
2(r+7)
———— < r+3
-6
Answer:
3 +7> 9-^2 = 47
Step-by-step explanation: i did this
2) Find the maturity value of a loan of $2500 at simple interest that is to be repaid in 8 months. The interest rate is 4. 3%
Answer:
The answer is 71.67
Step-by-step explanation:
I=PRT
P=2500
r=4.3%
t=8months which is two thirds of a year
2500×4.3%×2/3
I=71.67
Barbara used the distributive property to write an expression that is equivalent to 7 d 63. Her work is shown below. The greatest common factor is 7 so 7 d 63 = 7 (d 63) What was Barbara’s error? Barbara wrote (d 63) instead of 63 d). Barbara wrote (d 63) instead of (d 9). Barbara wrote (d 63) instead of (d 56). Barbara wrote (d 63) instead of (10 d).
The error that Barbara's made is that Barbara wrote (d+63) instead of (d+9).
What is Distributive property?The distributive property of multiplication is that when two numbers are added such as (a+b) and multiplied by a third number such as x, then the result will be the sum of multiplication of the third number with the first number (xa) and the third number with the second number (xb).
x(a+b) = xa + xb,
The expression which is equal to the expression 7d+63 can be written as,
[tex]7d+63\\\\=7(d+9)[/tex]
Hence, the error that Barbara's made is that Barbara wrote (d+63) instead of (d+9).
Learn more about Distributive property:
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Answer:
Step-by-step explanation:
wrote (d 63) instead of (d 9). Barbara
Write the recursive rule for the given sequence: 58, 65, 72, 79, 86
Hello!
58, 65, 72, 79, 86
86+7 = 93
93+7 =100
100+7 =107
Which expression correctly shows the difference between the product of 2 and 10 and the sum of 7 and 3?
Answer:
(2*10)-(7+3)
Parentheses are used to avoid unwanted results.
Evaluate a + (-b) where a = 4 and b = 2
27.)A candy bar sale totals to $5.50. What is the total cost with tax?
28.) Your Uncle Joe purchased three candy bars at $1.50 a piece. What is the total with
tax?
Answer:
27.) the candy bar sells for $5.90 with tax
28.) the candy bars sell for $4.80 with tax
Step-by-step explanation:
For amounts between $1.00 and $2.00, the tax is $0.10
For amounts greater than $2.00 and less than or equal to $4.00, the tax is $0.20.
For amounts greater than $4.00 and less than or equal to $6.00, the tax is $0.30.
For amounts greater than $6.00 and less than or equal to $8.00, the tax is $0.40.
For amounts greater than $8.00 and less than or equal to $10.00, the tax is $0.50
Suppose you buy a 6 percent corporate bond. The face value of the bond is $5,000, but you buy the bond at 92. What is the yield on this bond? (Calculate to one decimal place.)
Based on the coupon rate on this corporate bond and the face value, the yield on the bond is 15.2%.
What is the yield on this bond?The number of periods is missing so we shall assume a maturity period of one year.
The rate can be found using an Excel worksheet or a financial calculator.
Using an Excel worksheet, the relevant function is the RATE function and the following details will be needed:
Nper = 1 year
Pmt = 6% x 5,000
= $300
Pv = (5,000 * 0.92)
= $4,600
Pv = -4600 because it should be negative.
Fv = $5,000
The yield you will get is 15.2% as shown in the attached image.
Find out more on bond yields at https://brainly.com/question/7967102.
If <2 and <3 are supplementary angles, and measure of <3 = 170°; find the measure of <2.
Answer:
<2=10
Step-by-step explanation:
because if they are supplementary, they are on the same line, and a line is 180-degrees so 180-170=10-degrees which is angle 2.
HELP, URGENT!!!!!!!!!!!
Question: Quadrilateral GABE is a square. Assume that point A is the centre of the circle. If the circumference (perimeter of a circle) is 201 ft., find AE.
Solution:
πd = C
πd = 201
3.14(d) = 201
diameter = 64.01
radius is half of the diameter.
radius = 64.01/2
radius = 32
GA = 32
As its sqaure, all sides are equal
GA = AB = GE = EB = 32
using Pythagoras theorem:
32² + 32² = AE²
AE = √2048.8
AE = 45.3 ft
Answer:
Step-by-step explanation:
C = πd = 2πr
201 = 2*3.14*AB
AB = 201 / (2*3.14) = 32
AE is the diagonal of square ABEG
Using Pythagoras theorem,
AE^2 = AB^2 + BE^2 = 2*AB^2
AE^2 = 2*32^2
AE = sqrt(2*32^2)
= 45.255
= 45.3 ft
Ivy invested $150 000 in a savings account that offers to pay simple interest of 0.2% per year. How much interest will she receive at the end of one year?
Answer:
The answer is the CD was for 3 years.
Step-by-step explanation:
First, write the equation.
I=Prt
Next, substitute the given values.
$198=$1,200×5.5%×t
Next, write the percent as a decimal.
$198=$1,200×0.055×t
Next, simplify.
$198=$66×t
Then, solve for t.
3=t
Ivy will receive $300 in interest at the end of one year.
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.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To calculate the interest Ivy will receive at the end of one year, we need to multiply the amount she invested by the interest rate:
Interest = Principal x Rate
Here, the principal is $150,000 and the rate is 0.2% or 0.002 (as a decimal):
Interest = $150,000 x 0.002
Interest = $300
Thus,
Ivy will receive $300 in interest at the end of one year.
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In a basket of apples, 12% of them are rotten and 66 are in good condition. Find the total number of apples in the basket.
Let the total number of apples in the basket be m
12% of the apples are rotten, and apples in good condition are 66
Therefore, according to the question,
[tex]88\% \: of \: m= 66[/tex]
[tex]→ \frac{88}{100}× m = 66[/tex]
[tex]→ m = \frac{(66 \times 100)}{88} [/tex]
[tex]→ m = 3 \times 25[/tex]
[tex]→ m = 75[/tex]
Therefore, total number of apples in the basket is 75.
[tex]\red\bigstar \huge \color{blue}{ \tt{answer}}[/tex]
Let the total number of apples in the basket be x
• The apples are rotten = 12%
• The apples in good condition = 66
So ,
[tex]\bold{88\% \: of \: x = 66 }[/tex]
[tex] \bold{↪\frac{88}{100} × x = 66 }[/tex]
[tex]\bold{↪x = \frac{(66×100)}{88} }[/tex]
[tex]\bold{↪x = 3 × 25}[/tex]
[tex] \bold{↪x = 75}[/tex]
[tex]\bold{∴}[/tex]Total number of apples in the basket is 75
A money jar contains only quarters and dimes. The ratio of quarters to dimes in a money jar is 2:7. How many dimes are in the money jar if there are 63 total coins?
A 14
B 18
C 49
D 54
I need help on this ASAP
Answer:
B and D
Step-by-step explanation:
Distributive property on 3(c-3) is 3c-12=20. D is the same. Divide instead.
Answer:
the 2nd and 4th one
Step-by-step explanation:
4( c - 3 ) = 8
you can either distribute the 4 which means multiply whats inside of the parenthesis by 4 , 4 * c = 4c and 4 * -3 = -12 to get 4c - 12 = 8
or you can divide both sides by 4 which will get you c - 3 = 2
4(c-3)/4 = c - 3
8/4 = 2
c - 3 = 2
Identify a value of k that transforms f into g, where g(x) = f(x) + k.
Answer:
The transformation that maps f into g is a translation transformation,
involving the addition of k to the value of f(x).
The value of k that transforms f into g is; k = -5
Reasons:
Points on the graph of g(x) are; (0, -3) and (0, 1)
The equation of g(x) is; y - (-3) = 4·x, which gives;
y = 4·x - 3
The y-intercept = -3
Points on the graph of f(x) are; (-1 -2) and (0, 2)
The equation of f(x) is; y - (-2) = 4·(x - (-1)), which gives;
y = 4·x + 4 - 2 = 4·x + 2
The y-intercept = 2
The slopes of the graphs of f(x) and g(x) are equal, therefore, f(x) ║ g(x)
The difference or the transformation that takes the y-intercept of f(x) to the
y-intercept of g(x) is; k = y-intercept(g(x)) - y-intercept(f(x)) = -3 - 2 = -5
Therefore, k = -5
Which gives;
g(x) = f(x) - 5
The value of k that transforms f into g is; k = -5
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The owners of an eyeglass store claim that they fill customers' orders, on average, in 60 minutes with a standard deviation of 15. 9 minutes. Based on a random sample of 40 orders, a reporter determines a mean order time of 63 minutes. Let µ represent the average number of minutes to fill an order. Z = StartFraction x overbar minus mu Over (StartFraction sigma Over StartRoot n EndRoot EndFraction) EndFraction To the nearest hundredth, the z-statistic is z =.
By applying z-score formula we got that if a reporter determines a mean order time of 63 minutes then value o Z is 1.19
What is standard deviation?Standard deviation is a number used to tell how measurements for a group are spread out from the average (mean), or expected value
Here given that
The owners of an eyeglass store claim that they fill customers' orders, on average, in 60 minutes with a standard deviation of 15. 9 minutes. Based on a random sample of 40 orders, a reporter determines a mean order time of 63 minutes
mean=μ=60
standard deviation=σ=15.9
number of sample=n=40
[tex]\bar{x}=63 \\[/tex]
Now we can calculate z by z-score formula as
[tex]z=\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}} \\\\&=\frac{63-60}{\frac{15 \cdot 9}{40}} \\ \\=\frac{3}{2.5140} \\ \\=1.19\end{aligned}[/tex]
By applying z-score formula we got that if a reporter determines a mean order time of 63 minutes then value o Z is 1.19
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Answer:
1.19
Step-by-step explanation:
70 Points+Brainliest for a good answer! Need help to finish homework for 7th-grade math! Only helpful answers or I will delete and report! Thanks <3
Answer:
L = 2.25 feet.
Step-by-step explanation:
My work is shown in the attached image! Let me know if there are any errors or if you have any questions. Best wishes.
Distance 32 km; Time 20 minutes; Speed ? ___ kpm *
Answer:
56kmp
Step-by-step explanation:
That is all I know.
Answer:
1.6 kpm
Step-by-step explanation:
(32km)/(20min) = 1.6 km/min or kpm
Please answer fast! (100 points)
Answer:
x = 2.25
Step-by-step explanation:
X equals to 2.25. This is because the scale factor between 8 and 6 is 1 1/3.
Next, we take 3 and divide it with 1 1/3, ending up with 2.25.
Pencils: $3 Sale: 50% off What is the new cost of the pencils?
Answer:
$1.50
Step-by-step explanation:
50% is one half. and one half of $3 is $1.50.
please give brainliest!!
Rectangle J'K'L'M' shown on the grid is the image of rectangle JKLM after transformation. The same transformation will be applied on trapezoid STUV.
What will be the location of T' in the image trapezoid S'T'U'V'? (1 point)
(18, −2)
(18, 2)
(15, −2)
(15, 2)
Answer: (18,2)
Step-by-step explanation:
Cody used more than 5 times as many beads as his sister to make jewelry. His sister used 40 beads.
Which inequality represents all possible values of c, the number of beads Cody used to make jewelry?
A c < 200
B c > 45
C c < 45
D c > 200
Answer:
d is the answer to the question
what is the square root of 18.3
Answer:
The square root of 18.3 would be: 4.27784992724
Step-by-step explanation:
The measure of an angle is 11.3°. What is the measure of its supplementary angle?
Answer: 168.7 degrees
Step-by-step explanation:
Supplementary angles have measures that add to 180 deg, so 180-11.3=168.7
1/2(x+2y)+5/3(3x-2y)=-3/2; 5/4(x+2y)-3/5(3x-2y)=61/60. Find x and y?
Answer:
(x, y) = (-1/6, 1/4)
Step-by-step explanation:
This is a system of equations in expressions of two variables. You could solve it by expanding the expressions to the base variables, or you could solve it by first finding the values of the expressions.
Let's see what happens when we expand the equations all the way.
First equation:
[tex]\dfrac{1}{2}(x +2y)+\dfrac{5}{3}(3x-2y)=-\dfrac{3}{2}\\\\3(x+2y)+10(3x-2y)=-9\qquad\text{multiply by 6}\\\\3x+6y+30x-20y=-9\qquad\text{eliminate parentheses}\\\\\boxed{33x-14y+9=0}\qquad\text{collect terms, add $9$ to get general form}[/tex]
__
Second equation:
[tex]\dfrac{5}{4}(x+2y)-\dfrac{3}{5}(3x-2y)=\dfrac{61}{60}\\\\75(x+2y)-36(3x-2y)=61\qquad\text{multiply by 60}\\\\75x+150y-108x+72y=61\qquad\text{eliminate parentheses}\\\\-33x +222y = 61\qquad\text{collect terms}\\\\\boxed{33x-222y+61=0}\qquad\text{write in general form}[/tex]
__
The solution process looks like it might be messy for either substitution or elimination, so we choose to solve these equations using the cross-multiplication method.
Δ1 = (33)(-222) -(33)(-14) = -6864
Δ2 = (-14)(61) -(-222)(9) = 1144
Δ3 = (9)(33) -(61)(33) = -1716
x = Δ2/Δ1 = 1144/-6864 = -1/6
y = Δ3/Δ1 = -1716/-6864 = 1/4
The solution is (x, y) = (-1/6, 1/4).
_____
Additional comment
The weird numbers notwithstanding, the solution by elimination might be easily achieved by subtracting the second equation from the first. This would give ...
208y -52 = 0 ⇒ y = 52/208 = 1/4
Direct substitution of this into either equation will require arithmetic with fractions to obtain the solution for x.
This system can be directly solved by a graphing calculator using the equations as given.
__
You can read more about the cross multiplication method of solving a system of linear equations here:
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Step-by-step explanation:
Given equation are: [1/{2(x+2y)}] + [5/{3(3x-2y)}] = -3/2 →Eqn(1)
[5/{4(x+2y)}] - [3/{5(3x-2y)}] = 61/60 →Eqn(2)
Let {1/(x+2y)} = a ; {1/(3x-2y)} = b then
{1/(2a)} + {5/(3b)} = -3/2 →Eqn(3) * 5/2
{5/(4a)} - {3/(5b)} = 61/60 →Eqn(4) * 1
__________________________________
{5/(4a)} + {25/(6b)} = -15/4
{5/(4a)} - {3/(5b)} = 61/60
(-) (+) (-)
______________________
{23/(6b)} + {3/(5b)} = -(15/4) - (61/60)
⇛{(125b + 18b)/(30b²)} = {(-225 - 61)/60}
⇛{(143b)/(30b²)} = -286/60
⇛{143/(30b)} = -286/60
⇛1/b = -1
Therefore, b = -1
Substitute the value of b in equation (3) then we have
{1/(2a)} + (5/3) = -3/2
⇛{1/(2a)} = -(3/2) - (5/3)
= (-9-10)/6
⇛{1/(2a)} = -19/6
⇛1/a = -19/3
a = -3/19
Now, {1/(x+2y)} = a ⇛-3/19
⇛x+2y = -19/3. ⇛3x + 6y = -19 →Eqn(5)
{1/(3x-2y)} = 1⇛ 3x - 2y = 1 →Eqn(6)
(-) (+) (-)
______________
8y = -20
y = -20/8
Therefore, y = -5/2From equation (6)
3x - 2 * (-5/2) = 1
⇛3x - 5 = 1
⇛3x = 1+5
⇛3x = 6
⇛x = 6/3
Therefore, x = 2/1 = 2Answer: Hence, the required value of x and y with be -5/2 and 2 respectively.
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The figure below is an isosceles trapezoid. If m∠K=73, find the missing angle
Answer:
L 107°
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5. Julie has taken 5 tests in science this
semester. On the first three tests, her
mean score was 70%. On the last two
tests, her mean score was 90%. What
is the mean of all five scores?
Answer:
83.333333333
Step-by-step explanation:
add 70+90+90=250/3= 83.3333333
BA=5 AC=3 What is the length of side BD? If needed, write your answer as a simplified fraction using the form a/b. units
Answer:
4
Step-by-step explanation:
a²+b²=c²
|BD|²+|AC|²=|AB|²
|BD|²+3²=5²
|BD|²+9=25
|BD|²=25-9
|BD|²=16
then you root both sides
therefore |BD|=4
Triangle OPQ is similar to triangle RST. Find the measure of side ST. Round your answer to the nearest tenth if necessary
Given that triangles OPQ and RST are similar triangles, the measure of side ST is: 75.3.
What are Similar Triangles?The ratio of the corresponding sides of two similar triangles are always equal, meaning the sides are proportional to each other.
Given:
OP = 17ST = 31PQ = 7Since Triangle OPQ is similar to triangle RST, therefore:
RS/OP = ST/PQ
Substitute
RS/17 = 31/7
Cross multiply
RS = (31 × 17)/7
RS = 75.3
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In a group of 31 students, 7 study both Art and Biology.
14 study Biology but not Art.
7 study neither subject.
Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?
Answer:
7/10 or 0.7 or 70%
Step-by-step explanation:
I would use a venn diagram, and fill it in! Then there are 7 do A &B and 3 who just do A. That as a probaility, your answer!