Given :
On average, a refrigerator door is opened 99 times each day.
Len has two refrigerators in his house.
To Find :
How many times in a 8−week period are the refrigerator doors opened.
Solution :
Number of times door opened for 2 refrigerator , n = 99×2 = 198.
Number of days in 8 week , d = 8×7 = 56 days.
So, total number of times doors open in a period of 8-week is :
[tex]T=n\times d\\\\T=198\times 56\\\\T=11088\ times[/tex]
Therefore, refrigerator doors are opened about 11088 times.
Hence, this is the required solution.
Thang decided to borrow $7000 from his local bank to help pay for a car. His loan was for 3 years at a simple interest rate of 7%. How much interest will Thang pay? Thang will pay $ interest?
Answer:
2117
Step-by-step explanation:
Hoped It help UwU
hi guys pls help me out :)
The janitor at a school discovered a leak in a pipe. The janitor found that it was leaking at a rate of 12 fl oz per minute. How fast was the pipe leaking in gallons per hour?
Answer:
720 oz per hour
Step-by-step explanation:
hello whats 45(2+2)=55(2x4)
answer please if solution or no solution
Round 382.993 to the nearest hundredth
Answer:
383.000 is the answer, I think.
Step-by-step explanation:
Experiments are often repeated many times by the same or different scientists. What is the most important reason more than one scientist should conduct an investigation using the same methods? Group of answer choices Different scientists might perform the experiment differently. The competition makes the scientists work more carefully. More than one scientist is interested in the problem. If the results are the same, replication of the investigation helps to confirm the results.
Answer:
Different scientists might perform the experiment differently
Step-by-step explanation:
Answer: If the results are the same, replication of the investigation helps to confirm the results.
Step-by-step explanation:
which expression is equivalent to -14–6?
a.-14-6
b.14+(-6)
c.-14+(-6)
d.14+6
sorry i forgot about the answer last time.
Answer:
C) -14+(-6)
Step-by-step explanation:
14+6=20
-14-6=-20
-14+(-6)=-20
Multiply: 1/2 x 3/3
Answer: 3/6
Step-by-step explanation:
1/2 x 3/3
= 3 x 1 = 3
= 2 x 3 =6
HELP ASAP !!
What is the range of the function represented by the graph ?
Answer:
b.
Step-by-step explanation:
The range means the values of y and in this graph, the values of y are 1,2,3 and 4.
If x+y=12 and xy=15,find the value of (x^2+y^2)
Answer: [tex]x^2+y^2=\dfrac{105\pm 18\sqrt6}{2}[/tex]
Step-by-step explanation:
EQ1: x + y = 12 --> x = 12 - y
EQ2: xy = 15
Substitute x = 12-y into EQ2 to solve for y:
(12 - y)y = 15
12y - y² = 15
0 = y² - 12y + 15
↓ ↓ ↓
a=1 b= -12 c=15
[tex].\ y=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\.\quad =\dfrac{-(-12)\pm \sqrt{(-12)^2-4(1)(15)}}{2(1)}\\\\\\.\quad =\dfrac{12\pm \sqrt{144-120}}{2}\\\\\\.\quad =\dfrac{12\pm \sqrt{24}}{2}\\\\\\.\quad =\dfrac{12\pm 2\sqrt{6}}{2}\\\\\\.\quad =6\pm \sqrt{6}[/tex]
Now, let's solve for x:
[tex]xy=15\\\\x(6\pm\sqrt6)=15\\\\x=\dfrac{15}{6\pm\sqrt6}\\\\\\x=\dfrac{15}{6\pm\sqrt6}\bigg(\dfrac{6\pm\sqrt6}{6\pm\sqrt6}\bigg)=\dfrac{6\pm \sqrt6}{2}[/tex]
Lastly, find x² + y² :
[tex]y^2=(6\pm \sqrt6)^2\quad \rightarrow \quad y^2=36\pm 12\sqrt6 +6\quad \rightarrow \quad y^2=42\pm 12\sqrt6[/tex]
[tex]x^2=\bigg(\dfrac{6\pm \sqrt6}{2}\bigg)^2\quad \rightarrow \quad x^2=\dfrac{42\pm 12\sqrt6}{4}\quad \rightarrow \quad x^2=\dfrac{21\pm 6\sqrt6}{2}[/tex]
[tex]x^2+y^2=\dfrac{21\pm 6\sqrt6}{2}+42\pm 12\sqrt6\\\\\\.\qquad \quad = \dfrac{21\pm 6\sqrt6}{2}+\dfrac{84\pm 24\sqrt6}{2}\\\\\\. \qquad \quad = \dfrac{105\pm 18\sqrt6}{2}[/tex]
Simplify: :
10x — 7х+3
А. Зr
В. бг
С. Зr + 3
D. 10r – 4
Answer:
[tex]10x - 7x + 3 [/tex]
[tex] = 3x + 3[/tex]
The answer is C. 3x + 3
Explain how to find the 52nd term using the explicit rule f(n)= 15n+10, then solve.
Answer:
790Step-by-step explanation:
Given the explicit rule function F(n) = 15n +10, in order to get the 52nd term of the sequence, we will have to substitute n = 52 into the rule given as shown;
f(52) = 15(52) + 10
f(52) = 780+10
f(52) = 790
Hence the 52nd term of the explicit rule is 790
HELP ME PLZZ I NEED HELP WITH THIS !!
Convert 4.138138 to a fraction
Answer:
4.138138=469069/500000
Step-by-step explanation:
There are 48 people in a gym class what fraction represents the number of people running? 5/8 of the people were in spin class 1/3 of the people were lifting weights the remaining people were running
Answer: B.1/24
Step-by-step explanation:
Find out the number of people in spin class and those lifting weights, subtract them from the total number in the gym and then make this a fraction.
Step 1
Number of people in spin class ;
= 5/8 * 48
= 30 people
Number of people lifting weights;
= 1/3 * 48
= 16 people
Step 2
Number of people running
= 48 - 30 - 16
= 2 people
Step 3
Convert this to a fraction in its lowest form;
= 2/48
= 1/24
Answer:
B.
Step-by-step explanation:
Happy Holidays !!!!!! :)
how do I find ratio
Answer:
To find an equal ratio, you can either multiply or divide each term in the ratio by the same number (but not zero). For example, if we divide both terms in the ratio 3:6 by the number three, then we get the equal ratio, 1:2.
Step-by-step explanation:
Hope it helps :)
Brainliest pls? Have a good day/night
Given: Line segment N M is parallel to line segment P O. and Angle 1 is-congruent-to angle 3 Prove: Line segment N M is parallel to line segment N O. 4 lines are connected. Line segment L M connects to line segment M N to form angle 1. Line segment M N connects to line segment N O to form angle 2. Line segment N O connects to line segment O P to form angle 3. A 2-column table has 5 rows. Column 1 is labeled statements with the entries line segment N M is parallel to line segment P O, angle 2 is-congruent-to angle 3, angle 1 is-congruent-to angle 3, angle 1 is-congruent-to angle 2, line segment L M is parallel to line segment N O. What is the missing reason in the proof?
Answer:
C
Step-by-step explanation:
The proof would be the same as statement 2 as the conditions are the same.
Answer:
C
Step-by-step explanation:
this is correct on Edge 2020 :)
1. Express the product of 2x2 + 7x – 10 and x + 5 in standard form.
Answer:
Step-by-step explanation:
It will be easier if you bring that binomial in-front, imo. But the main thing you want to do here is actually really easy. You have to distribute that x to every single term in the trinomial, then do the same thing for the 5. Add up everything.
Distribute the x and 5 like this:
[tex]x(2x^2+7x-10) + 5(2x^2+7x-10)[/tex]
[tex]2x^3+7x^2-10x+10x^2+35x-50[/tex]
Now combine like terms:
[tex]2x^3+17x^2+25x-50[/tex]
There's your answer. Btw, standard form means the exponents are in order high to low and all variables before constants
The product of the expression is 2x³ + 17x² + 25x - 50.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
2x² + 7x - 10 and x + 5
Multiply both expressions.
(2x² + 7x - 10) x (x + 5)
2x³ + 10x² + 7x² + 35x - 10x - 50
Combine like terms.
2x³ + 17x² + 25x - 50
Thus,
The expression is 2x³ + 17x² + 25x - 50.
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Use a proportion to determine how many assistants are employed in an office if there are 32 executive and each executive has an average of 1.5 assistants.
Answer:
48
Step-by-step explanation:
I got it right
What is the equation of the line that passes through point (1, 1) and is
parallel to 2x - y = 3 ?
A.y=-1/2x+3/2
B.y=2x-1
C.y=2x+1
D.y=-1/2x-3/2
Answer:
Step-by-step explanation:
-y = -2x + 3
y = 2x - 3
y - 1 = 2(x - 1)
y - 1 = 2x - 2
y = 2x - 1
answer is B
The members of the drama club have 100 tickets to sell
to the school play. Students pay $5 per ticket, and
nonstudents pay $10 per ticket. The drama club needs
to collect at least $800 in total ticket sales. The system
of inequalities represents the number of student tickets,
s, and the number of nonstudent tickets, n, the members
must sell.
S + n < 100
5s + 10n > 800
Answer:40
Step-by-step explanation:
answer is 40
A
The number of tickets sold to the student is s = 40 (maximum) and to the nonstudent is n = 60(minimum) in order to collect at least $800 in total ticket sales.
The members of the drama club have 100 tickets to sell Students pay $5 per ticket, and nonstudents pay $10 per ticket. Inequalities given S + n < 100, 5s + 10n > 800. Maximum tickets for students and minimum tickets for nonstudents are to be determined.
Inequality can be defined as the relation of an equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
Let S + n = 100 -----(1)
5s + 10n = 800 ----(2)
Solving equations 1 and 2
S = 40 and n = 60
in order to hold the inequality s should be a maximum of 40 or n should be a minimum of 60.
Thus, the number of tickets sold to the student is s = 40 (maximum) and to the nonstudent is n = 60(minimum) in order to collect at least $800 in total ticket sales.
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Solve for m.
-9 - m = -4 – 2m
m =
Answer:
m = 5
Step-by-step explanation:
-9 - m = -4 -2m
-m = -4 +9 - 2m
-m = 5 -2m
2m - m = 5
m = 5
Which of the following expressions is equal to ? 5 · 5 · 5 · 5 5 · 5 · 5 3
Answer:5 with an exponent of 3•55• 53
Step-by-step explanation:
Just make the equation smaller looking by putting together numbers that can be turned into one like there was 4, 5’s so turn it into 5 with and exponent of 3
The value of the expression 5⁷ / 5² will be 5×5×5×5×5. which is the correct answer would be an option (C).
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
What is an exponential function?An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.
It is a relation of the form y = aˣ in mathematics, where x is the independent variable
The expression is given below.
⇒ 5⁷ / 5²
⇒ 5⁷⁻²
⇒ 5⁵
⇒ 5×5×5×5×5
Hence, the value of the expression 5⁷ / 5² will be 5×5×5×5×5. which is the correct answer would be an option (C).
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The question seems to be incomplete the correct question would be
Which of the following expressions is equal to 5⁷/ 5² ?
1.) 5×5×5
2.) 1/5×5×5×5
3.) 5×5×5×5×5
4.) 3
A farmer needs to enclose three sides of a meadow with a fence (the fourth side is a river). The farmer has 30 feet of fence and wants the meadow to have an area of 112 sq-feet. What should the dimensions of the meadow be? (For the purpose of this problem, the width will be the smaller dimension (needing two sides); the length with be the longer dimension (needing one side). Additionally, the length should be as long as possible.)
Answer:
Width = 7 feets ; length = 16 feets
Step-by-step explanation:
Given the following :
Area of meadow = 112 sq feet
Width = W (smaller dimension and 2 sides)
Length = L (longer dimension and 1 side)
Yards of fence = 30 feets ;
Hence,
L + W = 30
L + 2W = 30
L = 30 - 2W - - - (1)
Recall:
Area = L * W = 112
Substitute value of L
112 = (30 - 2W) * W
112 = 30W - 2W²
2W² - 30W + 112 = 0
W² - 15W + 56 = 0
W² - 8W - 7W + 56 = 0
W(W - 8) - 7(W - 8) = 0
(W - 8) = 0 or (W - 7) =0
W = 8 or W = 7
Since length should be as long as possible, we take the shorter width :
W = 7
L + 2W = 30
L = 30 - 14
L = 16 feets
dedildlICII
10
At Rocking Horse Ranch, admission is $45 and trail rides are $22.50 per hour. At Saddlecreek Ranch, admission is
$30 and trail rides are $35 per hour. Solve your system from the previous question. Interpret the meaning of the solution in
the context of the problem.
U
0 >Source
More
Answer:
Step-by-step explanation:
R.H.R. y = 22.50x + 45
S. R. : y = 35x + 30
35x + 30 = 22.50x + 45
12.50x + 30 = 45
12.5x = 15
x = 2.5 hours it have an same price total
The equation represents the cost after x hours.
At Rocking Horse Ranch:
y = 45 + 22.50x
At Saddlecreek Ranch:
y = 30 + 35x
The cost for both the Rocking Horse Ranch and Saddlecreek Ranch is the same after 1.2 hours.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 4 is an equation.
We have,
At Rocking Horse Ranch:
Admission = $45
Trail rides per hour = $22.50
At Saddlecreek Ranch:
Admission = $30.
Trail rides per hour = $35
We have to find out after how many hours the cost from both the Ranch is the same.
We can make two equations as,
y = 45 + 22.50x ____(1)
y = 30 + 35x _____(2)
Now,
From (1) and (2) we get,
45 + 22.50x = 30 + 35x
45 - 30 = 35x - 22.50x
15 = 12.50x
x = 15/12.50
x = 1.2
Thus,
The cost for both the Rocking Horse Ranch and Saddlecreek Ranch is the same after 1.2 hours.
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Determine the value of
b2 - 4ac
when:
a=0
b=4
C=100
Answer:
8
Step-by-step explanation:
b2 - 4ac
Replace letters with numbers
4(2) - 4(0)(100)
Multiply left to right
8 - 4(0)(100)
8 - 0(100)
8 - 0
Answer - 8
Find the approximate side length of a square game board with an area of 199 Inches Squared
The side length of a square game board with an area of 199 inches² is 14.11 inches.
What is the area?An object's area is how much space it takes up in two dimensions. It is the measurement of the number of unit squares that completely cover the surface of a closed figure.
Given:
The area of the square is 199 inches²
Calculate the length of the square as shown below,
Area of the square = The length of the square × The length of the square
199 = l² (Here l is the length of the square)
l = √199
l = 14.11 inches
Thus, the length of the board is 14.11 inches.
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27x^6-152x^3+125=0
HELP ME AND PLEASE EXPLAIN!
Answer:
[tex]x=5/3\text{ or } x=1[/tex]
Step-by-step explanation:
We have the equation:
[tex]27x^6-152x^3+125=0[/tex]
We can solve this using u-substitution. Let's let u=x³. Therefore:
[tex]27(x^3)^2-152(x^3)+125=0[/tex]
Substitute all x³s for u:
[tex]27u^2-152u+125=0[/tex]
This is now in quadratic form. So, we can use the quadratic formula:
[tex]u=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Our a is 27, b is -152, and c is 125. So:
[tex]u=\frac{-(-152)\pm \sqrt{(-152)^2-4(27)(125)}}{2(27)}[/tex]
Simplify:
[tex]u=\frac{152\pm\sqrt{9604}}{54}[/tex]
Simplify:
[tex]u=\frac{152\pm 98}{54}[/tex]
Reduce. Divide everything by 2:
[tex]u=\frac{76\pm49}{27}[/tex]
Split into two cases:
[tex]u=\frac{76+49}{27}\text{ or } u=\frac{76-49}{27}[/tex]
Solve for each case:
[tex]u=\frac{125}{27}\text{ or } u=\frac{27}{27}=1[/tex]
Substitute back x³ for our u:
[tex]x^3=\frac{125}{27}\text{ or } x^3=1[/tex]
Take the cube root of each equation:
[tex]x=\sqrt[3]{\frac{125}{27}}\text{ or } x=\sqrt[3]1[/tex]
Evaluate:
[tex]x=5/3\text{ or } x=1[/tex]
And that's our two solutions.
And we're done!
Identify the like terms in the following expression: 15m + 2n - 4m + n +12m
Compare 8 ⋅ 107 to 2 ⋅ 104.
