The number represented in the statement is 7
How to determine the number?The statements in the question can be highlighted as:
A number is trebled10 is subtracted from the resultThe result is then multiplied by 5The final result is 55When represented as an equation, we have
5(3x - 10) = 55
Where x represents the number
Divide both sides by 5
3x - 10 = 11
Add 10 to both sides
3x = 21
Divide by 3
x = 7
Hence, the result is 7
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The lifetime of a certain type of battery is known to be normally distributed with standard deviation =σ17 hours. A sample of 50 batteries had a mean lifetime of 120.1 hours. It is desired to construct a 95% confidence interval for the mean lifetime for this type of battery.
The point estimate for the lifetime of a certain type of battery is 120.1 hours.
How to illustrate the information?Let X represent the battery's lifetime. X has a normal distribution with a standard deviation of 20 hours. The sample size is 50, and the average lifetime is 120.1 hours.
Calculating the mean of a sample drawn from the population yields a point estimate of the population's mean. The mean is calculated as the sum of all sample values divided by the number of values.
A single value estimate of a parameter is referred to as a point estimate. A sample mean, for example, is a point estimate of the population mean. An interval estimate provides a range of values within which the parameter is expected to fall. The population mean point estimate is sample mean and this is 120.1 hours.
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Complete question
The lifetime of a certain type of battery is known to be normally distributed with standard deviation =σ17 hours. A sample of 50 batteries had a mean lifetime of 120.1 hours. It is desired to construct a 95% confidence interval for the mean lifetime for this type of battery. What is the point estimated?
Determine which integer makes the inequality 6(n − 5) < 3(n + 4) true.
S:{11}
S:{14}
S:{30}
S:{42}
Answer:
S: {11}
Step-by-step explanation:
Hello!
Solve the inequality for n by isolating the variable.
Solve for n 6(n − 5) < 3(n + 4) 6n - 30 < 3n + 123n - 30 < 123n < 42n < 14The solution for n is all values less than 14, so 11 would work.
This is due tomorrow, please help!
Mr. Phone stayed in a hotel room for 2 nights that cost $210. The hotel room tax rate is 12% what is the total cost for the hotel room?
Answer:
$235.20
Step-by-step explanation:
the tax :
[tex] \frac{12}{100} \times 210 = 25.20[/tex]
total cost :
$210 + $25.20 = $235.20
Find the average rate of change of f(x) = -x² + 3x + 1 from x=2 to x = 5.
Simplify your answer as much as possible.
Answer:
The average rate of change is: -4
Step-by-step explanation:
So to solve this we just need to plug our numbers into the formula. We are using the formula f(b) - f(a)b - a where “a” and “b” are our numbers. So we are given the intervals x=2 and x=5. When we see that we can rewrite it as (2,0) and (5,0). This is because when it is telling us just “x” we know “y” (the second number in the parentheses) is 0. So just plugging in the numbers we get: (-(5)2+3(5)+1)-(-(2)2+3(2)+1)(5 - 2). Solving it we get -4.
A paper company needs to ship papre to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weight 35 ponds and each large box of paper wight 60 pounds. There were 7 more small boxes shipped than large boxes and the total wight of all boxes was 815 ponds. Write a system of equations that could be used to determine the number of small boxes shipped and the number boxes shipped.
Setting up a system of equation, the number of small boxes shipped is 13 and large box shipped is 6
System of EquationSystem of equations, or simultaneous equations, In algebra, two or more equations to be solved together (i.e., the solution must satisfy all the equations in the system). For a system to have a unique solution, the number of equations must equal the number of unknowns.
Let;
x = small boxy = large boxWe can represent this using equations;
35x + 60y = 815 ...eq(i)
x = 7 + y ... eq(ii)
Solving equation (i) and (ii)
x = 13, y = 6
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Calculate the eighth term in the sequence 512, 256,128, ...
Answer:
4
Step-by-step explanation:
You want the 8th term of the geometric sequence 512, 256, 128, ....
Explicit formulaThe formula for the n-th term of a geometric sequence is ...
an = a1×r^(n-1)
where a1 is the first term (512), and r is the common ratio (1/2).
Then the 8th term is ...
a8 = 512(1/2)^(8-1) = 512/128 = 4
The eighth term of the sequence is 4.
Can someone help please? Very much appreciated
Answer:
Coefficient is 7, variable is z
Step-by-step explanation:
At a particular restaurant, each pizza roll has 65 calories and each chicken wing has 50 calories. A combination meal with pizza rolls and chicken wings is shown to have 1015 total calories and 5 more pizza rolls than chicken wings. Determine the number of pizza rolls in the combination meal and the number of chicken wings in the combination meal
factorise 6x^2+11x+4
Answer:
(2x+1)(3x+4)
Step-by-step explanation:
6x² + 11x + 4
multiply the first and last term
i.e (6x²)(4) = 24x²
find two terms that multiplies to give 24x² and when added would give 11x
¶ 8x and 3x
Therefore; 6x² + 11x + 4
6x² + 8x + 3x + 4
2x(3x + 4) + 1(3x + 4)
Answer; (2x + 1)(3x + 4)
Simplify
15x²y³-10x²y² +5xy² divided by 5xy
Answer:
y(3xy-2x+1)
Step-by-step explanation:
I'm pretty sure it'd be y(3xy-2x+1).
Answer:
3xy²-2xy +y
Step-by-step explanation:
15x²y³-10x²y² +5xy² = 5xy(3xy²-2xy +y)
then
5xy(3xy²-2xy +y) / 5xy = 3xy²-2xy +y
Find the points on the graph for the function f (x) =x²-8x/7x+12 at the value f(x) = 3.
The points on the graph of the given function at the value f(x)=3 would be x=5.0971 and x=1.5695.
What is a graph of a function?
A function's graph is the set of all points in the plane of the form (x, f(x)). The graph of f could also be defined as the graph of the equation y = f(x).
The given function is
[tex]f(x)=\frac{8-x}{x^2-7x+12}\\\\\[/tex]
Now we put f(x) = 3, we get
[tex]3=\frac{8-x}{x^2-7x+12}\\\\\\\3x^2-21x+36=8-x\\3x^2-20x+24=0\\[/tex]
Solving we get
x=5.09717
x=1.5695
So the points on the graph of the given function at the value f(x)=3 would be x=5.0971 and x=1.5695.
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WHAT IS THE ANSWER PLEASE HELP ME
Answer:
option 4
Step-by-step explanation:
Use distributive property: a(b +c) = (a*b) + (a*c).
Multiply each term of (-x - 5) by (-3).
-3( -x - 5) = ( -3* -x) + (-3*-5)
= ( 3x ) + ( 15)
= 3x + 15
⇒Note I am going to solve them step by step for you to understand.
1.
[tex]3(x)+3(5)=3x+5\\3x+15=3x+5\\3x-3x=5-15\\no\\solution[/tex]
since 0≠-10
2.
[tex]-3(x)-3(-5)=-3x-15\\-3x+15=-3x-15\\-3x+3x=-15-15\\0\neq -30\\no\\solution[/tex]
3.
[tex]3(-x)+3(5)=8-x\\-3x+15=8-x\\\\-3x+x=8-15\\-2x=-7\\\frac{-2x}{-2} =\frac{-7}{-2} \\x=\frac{7}{2}[/tex]
4.
[tex]-3(-x)-3(-5)=3x+15\\3x+15=3x+15\\3x-3x=15-15\\0=0\\[/tex]
Note there is no certain value for x as any value you insert as x can make the whole equation true.
No solution is the answer for Q4
75°
64°
2
The measure of the exterior angle of the triangle is
Answer:
exterior angle = 139°
step-by-step explaination:(I'm using "X" instead of "2")
to find the exterior angle, find the interior angle first and then use the straight line.
interior angle = 180° therefore,
75° + 64° + X = 180
139° + X = 180°
X = 180° - 139°
X = 41° (not the answer)
a straight line = 180°
X = 41°
Y - the exterior angle
41° + Y = 180°
Y = 180° + 41°
Y = 139°
hope this is clear :)
What is the value of 4n+ 7 when n
-
2?
Answer:
Either 15 or -1 see below
Step-by-step explanation:
I am not sure if you menat n = 2 or n = -2
n= 2
4n + 7 Subtitute in 2 for n
4(2) + 7
8 + 7
15
n = -2
4n + 7y
4(-2) + 7
-8 + 7
-1
Answer the question in the picture
The area of the semicircle is A = 1187.9 cm².
What is the area of a circle?The area of a circle with a radius of r is A = πr².
Given that, the diameter of the semicircle is 55 cm.
The radius of the semicircle is,
r = 55/2
The area of a semicircle is given by,
A = (1/2)πr²
Substitute the values,
A = (1/2)π(55/2)²
A = 1187.9
Hence, the area of the semicircle is A = 1187.9 cm².
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John painted his most famous work, in his country, in 1930 on composition board with perimeter 104.09
in. If the rectangular painting is 5.72
in. taller than it is wide, find the dimensions of the painting.
Question content area bottom
Part 1
What is the width? enter your response here
▼
in. squared
in. cubedJohn painted his most famous work, in his country, in 1930 on composition board with perimeter 104.09
in. If the rectangular painting is 5.72
in. taller than it is wide, find the dimensions of the painting.
Question content area bottom
Part 1
What is the width? enter your response here
▼
in. squared
in. cubed
in.
(Simplify your answer. Type an integer or decimal rounded to two decimal places as needed.)John painted his most famous work, in his country, in 1930 on composition board with perimeter 104.09
in. If the rectangular painting is 5.72
in. taller than it is wide, find the dimensions of the painting.
Question content area bottom
Part 1
What is the width? enter your response here
▼
in. squared
in. cubed
in.
(Simplify your answer. Type an integer or decimal rounded to two decimal places as needed.)John painted his most famous work, in his country, in 1930 on composition board with perimeter 104.09
in. If the rectangular painting is 5.72
in. taller than it is wide, find the dimensions of the painting.
Question content area bottom
Part 1
What is the width? enter your response here
▼
in. squared
in. cubed
in.
(Simplify your answer. Type an integer or decimal rounded to two decimal places as needed.)John painted his most famous work, in his country, in 1930 on composition board with perimeter 104.09
in. If the rectangular painting is 5.72
in. taller than it is wide, find the dimensions of the painting.
Question content area bottom
Part 1
What is the width? enter your response here
▼
in. squared
in. cubed
in.
(Simplify your answer. Type an integer or decimal rounded to two decimal places as needed.)John painted his most famous work, in his country, in 1930 on composition board with perimeter 104.09
in. If the rectangular painting is 5.72
in. taller than it is wide, find the dimensions of the painting.
Question content area bottom
Part 1
What is the width? enter your response here
▼
in. squared
in. cubed
in.
(Simplify your answer. Type an integer or decimal rounded to two decimal places as needed.)John painted his most famous work, in his country, in 1930 on composition board with perimeter 104.09
in. If the rectangular painting is 5.72
in. taller than it is wide, find the dimensions of the painting.
Question content area bottom
Part 1
What is the width? enter your response here
▼
in. squared
in. cubed
in.
(Simplify your answer. Type an integer or decimal rounded to two decimal places as needed.)
in.
(Simplify your answer. Type an integer or decimal rounded to two decimal places as needed.)
The dimensions of the rectangular paint of perimeter 104.09 inches are given as follows:
Height: 28.88 inches.Width: 23.16 inches.How to obtain the perimeter of a rectangle?The perimeter of any polygon, including a rectangle, is given by the sum of all the lengths of the outer edges of the figure.
Hence, for a rectangle of height h and width w, the perimeter is given by twice the sum of these dimensions, hence it is given as follows:
P = 2(h + w).
In this problem, the perimeter has the value given as follows:
P = 104.09 inches.
Hence:
2(h + w) = 104.09
h + w = 104.09/2
h + w = 52.045 inches.
The painting is 5.72 inches taller than it is wide, hence:
h = 5.72 + w.
Then the height is obtained as follows:
5.72 + w + w = 52.045
2w = (52.045 - 5.72)
w = (52.045 - 5.72)/2
w = 23.16 inches.
Then the height of the rectangular painting is given as follows:
h = 5.72 + w = 5.72 + 23.16 = 28.88 inches.
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in a chocolate factory a machine takes a 1 kg block of chocolate. It then divides it into rectangles each weight 10g
The number of division that will take place when the chocolate factory a machine takes a 1 kg block of chocolate is 100.
How to calculate the value?From the information, in the chocolate factory a machine takes a 1 kg block of chocolate and then divides it into rectangles each weight 10g.
It is important to note that:
1000 grams = 1 kilograms
Therefore, since the chocolate is divided into 10g, this will be:
= Total grams / 10 gram
= 1000g / 10g
= 100
Therefore, there will be 100 division.
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Complete question
In a chocolate factory a machine takes a 1 kg block of chocolate. It then divides it into rectangles each weight 10g. How many division will take place?
what ticket price would maximize revenue?
As per the concept of system of linear equations, the maximum revenue of this basket ball match is $3.4
Linear equation:
Linear equation refers the one variable is an equation in which there is only one variable present. And it is of the form Ax + B = 0, where A and B are any two real numbers and x is an unknown variable that has only one solution.
Given,
A baseball team plays in a stadium that holds 66000 spectators. With the ticket price at $10 the average attendance has been 28000. When the price dropped to $7, the average attendance rose to 33000. Assume that attendance is linearly related to ticket price.
Here we need to find the ticket price would maximize revenue.
In order to find the ticket price for the maximum revenue,
We have to identify the details from the given question,
Total seating capacity = 66,000
When ticket price $10 then the attendance 28,000
When ticket price $7 then the attendance 33,000
Let us consider the x be the maximum revenue ticket price.
Now, to solve this we have to find the slope for the equation,
That is,
=> m = (33000 - 28000)/(7 - 10)
=> m = 5000/-3
=> m = -5000/3
=> m = 1666.6
Then the revenue equation is written as,
=> y = (10 - x) * (28,000 + 1666.6x)
=> y = 280000-11334x-1666.6x²
If we plot the this function into the graph, then we get the graph like the following.
Therefore, the solution of the graph is 3.4.
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In AGHI, h = 300 inches, ZG=30° and H=29°. Find the
length of i, to the nearest inch.
The length of i will be 531.3 inch when h is 300 inch and ∠G is 30° and ∠H is 29°.
What is angle?When two straight lines or rays intersect at a shared terminal, an angle is generated. An angle's vertex is the common point of contact. The difference in direction between two lines or surfaces is defined as an angle. Angles are expressed in degrees. From a same point, the two hands draw separate sets of lines. Angle refers to these groups of lines that originate from a common point. Every minute, the two hands create various angles. In real life, one example of an angle is a clock.
Here,
∠I=180-(30+29)
=180-59
∠I=121°
h/sin H=i/sin I
300/sin 29=i/sin 121
i=300*sin 121/sin 29
i=531.3 inch
When h is 300 inches, G is 30 degrees, and H is 29 degrees, the length of I is 531.3 inches.
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Rewrite
barrel
hour
о
as a unit rate.
O A. 2 barrels/hour
OB. barrel/hour
OC. 6 barrels/hour
D. barrel/hour
Please I need it asap
Unit rate of (1 /5 barrel) / (1/2hour) is equals to (2/5) barrels /hour.
What is unit rate?
"Unit rate is defined as the representation of the ratio of the two different units with value of the denominator equals to 1."
According to the question,
Given,
1/5 barrel/1/2 barrel
⇒ (1/2) hour = (1/5) barrel
⇒ 1 hour = (2/5) barallel
⇒ (2/5) barrel per one hour.
Therefore,
Unit rate of given value is rewritten as
2/5 barrel/hour
hence option b is correct.
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Your question is incomplete. Please find the missing content below.
Rewrite 1/5 barrel 1/2 hour as a unit rate.
A. 2 1/2 barrel/hour
B. 2/5 barrel/hour
C. 10 barrels/hour
D. 1/10 barre./hour
5. Mrs. Hans bought a house for $35,000 ten years ago. If she sells it this year for $119,000, what percent profit will she make?
Answer:
340%
Step-by-step explanation:
119000/35000
Mike staples 10 sheets of paper together to make a packet.
He makes fewer than 8 packets. He uses all of the paper. How
many sheets of paper could Mike have used? Explain how you
know.
Answer:
70
Step-by-step explanation:
8 - 1 = 7
7 x 10 = 70
He used 70 sheets.
Then has a recipe for a marinade recipe says to mix 3/8 cup olive oil 1/4 cup soy sauce and 1/8 cup lime juice how much olive oil does he need to make 9 cups of the marinade show your work
You have to multiply 3/8 by 9 and then you get your answer which is 3.375
A species of bacteria has a population of 80 at noon. It double every 8 hours. The function that models the growth of the population, P, at any hour, t, is
P(t) = 80(28) 8 a. Why is the exponent ?
b. Why is the base 2?
c. Why is the multiplier 80?
d. Determine the population at noon the next day.
e. Determine the time at which the population first exceeds 60 Thousand.
Answer:123
Step-by-step explanation:
31231231232131
Assume the $26,000 Treasury bill, 5% for 13 weeks. Calculate the effective rate of interest.
Note: Use calendar year. Round your answer to the nearest hundredth percent.
Effective rate of interest
Simple interest of $325 was accrued on a principal of $26,000.00 for a period of 0.25 years (13 weeks) at a rate of 5% per year, bringing the total amount due to $26,325.00 (principal plus interest).
What is simple interest?Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, so a creditor will only charge interest on the principal sum, and a borrower will never be required to pay additional interest on the interest that has already accrued.
Here,
A = $26,325.00
I = A - P = $325.00
A is equal to P(1 + rt).
The first step is to convert R percent to r a decimal, which is equal to R/100 = 5%/100 = 0.05 per year.
For ease, let's convert time to years: 13 weeks / 52 weeks / year = 0.25 years.
How to resolve our equation
A = 26000(1 + (0.05 × 0.25)) = $26,325.00
Simple interest accrued on a principal of $26,000.00 at a rate of 5% per year for 0.25 years (13 weeks) totaling $26,325.00 (principal plus interest).
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Give g(x)=4x-4 , solve for x when g (x) =0
Answer:
x = 1
Step-by-step explanation:
Given:
g(x) = 4x - 4
To Find:
x when g(x) = 0
[tex] \rm \implies 4x - 4 = 0 \\ \\ \rm \implies 4x - 4 + 4 = 0 + 4 \\ \\ \rm \implies 4x = 4 \\ \\ \rm \implies \cancel{\frac{4}{4}} x = \cancel{ \frac{4}{4} } \\ \\ \rm \implies x = 1[/tex]
The length of the longer side of a rectangle is 2 in. less than twice the length of
the shorter side. The area of the rectangle is 60 in2. What is the difference
between the lengths of the longer and shorter sides?
how do you know that 2 to the power of 3 x 3 is not a common multiple
Answer:
512
Step-by-step explanation:
A common multiple is defined as a whole number, a shared multiple of each set of numbers. The multiples common to two or more numbers are called the common multiples of those numbers.
OML I just gave u the answer do I need to put this in simple terms for you since u don't understand - 2 to the power of 3 x 3 is 512 and that is not a whole number a common multiple is defined as a whole number and for 512 to be an integer it has to be a whole number. UNDERSTAND NOW???
what the slopes and y intercepts for both of these?
Answer:
First graph: slope = [tex]\frac{2}{3}[/tex] & y-intercept = (0, -1). Second graph: slope = 2 & y-intercept = (0,2)Step-by-step explanation:
They're both linear graphs, so they both follow the formula y = mx + b.
The y-intercept is when the graph crosses the y-intercept, so when x = 0.
First graph:
(x, y₁) = (0, -1)(x₂, y₂) = (-3, -3)Slope(m): [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} } =\frac{-3-(-1)}{-3-0} =\frac{-2}{-3} =\frac{2}{3}[/tex]
y-intercept(b): (0, -1)
Second graph:
(x, y₁) = (0, 2)(x₂, y₂) = (-3, -4)Slope(m): [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} } =\frac{-4-2}{-3-0} =\frac{-6}{-3} =2\\[/tex]
y-intercept(b): (0, 2)
J. Lo’s Clothiers has forecast credit sales for the fourth quarter of the year: September (actual) $ 70,000 Fourth Quarter October $ 60,000 November 55,000 December 80,000 Experience has shown that 30 percent of sales are collected in the month of sale, 60 percent are collected in the following month, and 10 percent are never collected. Prepare a schedule of cash receipts for J. Lo’s Clothiers covering the fourth quarter (October through December)
The preparation of a schedule of cash receipts for J. Lo's Clothiers covering the fourth quarter from October through December is as follows:
Fourth Quarter Cash Receipts October November December
Month of sale (30%) $18,000 $16,500 $24,000
Following month (60%) 42,000 36,000 33,000
Total cash receipts $60,000 $52,500 $57,000
What is a schedule of cash receipts?A cash receipts schedule is a financial document that specifies how a business expects to collect cash from its credit sales customers based on the sales budget.
The cash collection formula can be established using the company's past collection patterns.
September
Credit Sales (actual) $ 70,000
Fourth Quarter October November December
Credit Sales $60,000 $55,000 $80,000
Cash Receipts:
Month of sale (30%) $18,000 $16,500 $24,000
Following month (60%) 42,000 36,000 33,000
Total cash receipts $60,000 $52,500 $57,000
Cash receipts in October = $60,000 ($60,000 x 30% + $70,000 x 60%)
Cash receipts in November = $52,500 ($55,000 x 30% + $60,000 x 60%)
Cash receipts in December = $57,000 ($80,000 x 30% + $55,000 x 60%)
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