Answer:
The length is 5cm.
Step-by-step explanation:
(x)(x+7) = 60
x^2 +7x = 60
x^2 +7x - 60 = 0
x^2 + 12x - 5x = 0
Answer:
\(lenght = 12cm \\ width = 5cm\)
Step-by-step explanation:
\(area \: = lenght \times width \\ area = 60cm { }^{2} \\ let \: width = xcm \\ let \: lenght = (x + 7)cm \\ 60 = \: (x)(x + 7) \\ 60 = x ^{2} + 7x \\ x {}^{2} + 7x = 60 \\ x {}^{2} + 12x - 5x - 60 = 0\\ x(x + 12) - 5(x + 12) \\ (x + 5)(x + 12) \\ x = 5 \: or \: x =- 12 \\ since \: width \: cant \: be \: negative \\ width = 5cm \\ lenht = 5 + 7 = 12cm\)
Calcular los 3/5 de los 2/3 de las 3/4 de 560
For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.
How to solve fractions?To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:
Step 1: Calculate 3/4 of 560:
3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420
Step 2: Calculate 2/3 of the result from Step 1:
2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280
Step 3: Calculate 3/5 of the result from Step 2:
3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168
Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.
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Question /
State the quadrant in which the terminal side of the given angle lies.
0 =
77
4.
А
II
B.
I
IV
Ос
Oo
III
Answer:
9y - 19 = 62
Step-by-step explanation:
thats not that answer i dont know what the answer is
solve the inequality-2+4x<14
Answer: x<4
Step-by-step explanation:
If we break this down as
-2+4x<14 and we add 2 to both sides
4x+<16 and divide by 4
and you get x<4
4 ounces for every 16 ounces. Rate or ratio and in simplest form
4 for 16 would be written as 4/16.
Dividing both numbers by 4 it is simplified to 1/4
4 ounces for every 16 ounces can be written as:
\(\displaystyle \frac{4}{16} =\frac{1}{4}\)
As a ratio, it can be expressed as:
\(1:4\)
9, 14, 12,17,15, 20,18
what is the rule for the following pattern?
need help asapppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
A package weighs 80 ounces. What is the weight of the package in pounds?
Answer:
5
Step-by-step explanation:
1 ounce = 0.0625
0.0625 x 80 = 5
what is the correct order of the numbers from least to greatest. 1/2, 0.6, 6%, 6/5
Answer:
6%, 1/2, 0.6, 6/5
Step-by-step explanation:
Answer:
6%, 1/2, 0.6, 6/5
Step-by-step explanation:
you can convert all of these to fractions over a 100 to compare them. 6 percent is 6/100, 1/2 is 50/100, .6 is 60/100, and 6/5 is 125/100
Only a very small (<5) percentage of measurements can be more than 2 standard deviations from the mean of the normal distribution.
A. True
B. False
Answer:
A. True
Step-by-step explanation:
The empirical rule in statistics states that:
68% of the data will be within 1 standard deviation95% of the data will be within 2 standard deviations99.7% of the data will be within 3 standard deviationsSo yes, we can state that 5% or less of the data will be more than 2 standard deviations away from the mean. Of course, statistics is not 100% certain, so this rule is not 100% right all the time. Some exceptions might result, but generally speaking, the results should follow the empirical rule.
Answer:
The answer is true
Step-by-step explanation:
True
Two partners buy a monster truck. One of them pays 3/5 of the price which is $7,800. What is the total cost of the monster truck?
Answer:
$13,000
Step-by-step explanation:
3/5 x T = 7800
T = 7800 x 5/3
= 2600 x 5
= $13,000
BRAINLIEST.
DUH.
Answer:
13000
Step-by-step explanation:
let the total cost of the truck = x
so, 3/5 of x = $7800
3x/5 = $7800
3x = $7800 × 5
3x = $39000
x = $39000/3
x = $13,000
Translate 2 3 y − 9 < y + 1 into a sentence. Nine than two-thirds of number is less than the number .
The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."
To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:
"2/3y" represents two-thirds of a number.
"9" represents the number nine.
"y + 1" represents the number increased by one.
Now let's construct the sentence:
"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.
"is less than" - This is the comparison symbol in the inequality.
"the number" - This refers to the expression "y + 1," representing the number increased by one.
Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."
Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."
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18) Solve for side AC.
A) 1.10
B) 8.24
C) 9.50
70
C
3
B
Step-by-step explanation:
tan0=opp/adj
where opposite =3,adjacent =x,=70
tan 70=3/x
2.7474=3/x
2.7474x=3
divide both sides by 2.7474
x=3/2.7474
x=1.0919
x=1.10 to 1 d.p
HELP ASAP! (VERY EASY)
Which of the following is the fourth vertex needed to create a rectangle with vertices located at (5, 6), (9, 6), and (5, 3)?
(5, –6)
(5, –3)
(9, –6)
(9, 3)
The fourth vertex such that it forms a right angle with two adjacent vertices the correct answer is \((9, 3)\) . Thus, option D is correct.
What is the adjacent vertices?To create a rectangle, we need to find the fourth vertex such that it forms a right angle with two adjacent vertices. We can use the distance formula to determine the length of each side of the triangle formed by the three given vertices:
The distance between \((5, 6)\) and \((9, 6)\) is \(4\) units.
The distance between \((5, 6)\) and \((5, 3)\) is \(3\) units.
The distance between \((9, 6)\) and \((5, 3)\) is \(5\) units.
Since the two sides with length 4 units are adjacent and form a right angle, we know that the fourth vertex must be located 3 units below (9, 6) or 3 units above (5, 3). Therefore, the fourth vertex can be either (9, 3) or (5, 9).
However, only \((9, 3)\) forms a rectangle with the three given vertices, as it is also 5 units away from \((5, 6)\) and \(4\) units away from (9, 6), forming a right angle with both.
Therefore, the correct answer is \((9, 3)\).
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Caitlyn is saving for vacation. She already has $38 and plans to save $18 per week until she reaches her goal of $524. Caitlyn’s total savings, s, can be determined using this equation, where w represents the number of weeks she saves.
s=18w+38
How many weeks will Caitlyn need to save to reach her goal of $524?
Answer:
27.88 can be rounded to whatever the question wants you to, coz it needs to be a whole no.---> so I would say 28 weeks, but it depends on what the question asks
Step-by-step explanation:
18w+38= should equal to $540
rephrasing this in a mathematical way would be-
18w+38=$540
18w=$540-38
18w=502
w=502/18
w=27.88
Answer:
The answer is 27. 88 but if this is like a test and not a open end question than the answer is 27 ;)
Help pls show work if needed!!!
Answer:
Step-by-step explanation:
y = 85x+90
1 ) 85*1 = 85 + 90 = 175
2) 85*2= 170+90= 260
Just keep multiplying 85 times each number and add 90
(I would do it all for more points)
Find the volume of a box that will hold the pizza and the cup of marinara sauce?
Answer: 65.085, unacceptable!!! -
Step-by-step explanation:
seb buys 1 gallon of paint that covers 400 square feet
The least amount of paint that is needed to paint the walls of a room with a rectangular prism shape is 1. 8 gallons.
How to find the amount of paint ?There would be two walls with 10 x 16 dimensions so the area is :
= 2 x 10 x 16
= 320 square feet
Two walls with 20 x 10 dimensions :
= 2 x 20 x 10
= 400 square feet
The total area is :
= 400 + 320
= 720 square feet
One gallon of paint can cover 400 square feet so the number of gallons needed is:
= 720 / 400
= 1. 8 gallons
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Full question is:
One gallon of paint covers 400 square feet. What is the least amount of paint needed to paint the walls of a room in the shape of a rectangular prism with a length of 20 feet, a width of 16 feet, and a height of 10 feet? Write your answer as a decimal.
Find the height of the flagpole to the nearest meter.
40
33
20
27
Answer:
40Step-by-step explanation:
I think 40 because it's to long line. Write the equation of a line with a slope of 4 passing through the point (3, 1). Write the
equation in slope-intercept form.
Answer:
y = 4x - 11
Step-by-step explanation:
The general equation of the slope-intercept form of a line is given by:
y = mx + b, where
(x, y) are any point on the line,m is the slope,and b is the y-intercept.We can find b, the y-intercept of the line, by plugging in 4 for m and (3, 1) for (x, y) in the slope-intercept form:
1 = 4(3) + b
1 = 12 + b
-11 = b
Thus, the y-intercept is -11.
Thus, the equation of the line with a slope of 4 passing through the point (3, 1) in slope-intercept form is y = 4x - 11
The answer is:
y = 4x - 11Work/explanation:
First, we will write the equation in point slope:
\(\sf{y-y_1=m(x-x_1)}\)
where m = slope;
(x₁,y₁) is a point on the line.
Plug in the data:
\(\sf{y-1=4(x-3)}\)
Simplify
\(\sf{y-1=4x-12}\)
Add 1 on each side
\(\sf{y=4x-12+1}\)
\(\sf{y=4x-11}\)
Hence, the equation is y = 4x - 11.A regular polygon is shown.
12 sided regular polygon
Determine the measure of one of its angles.
2,160°
1,800°
165°
150°
The measure of one of its angles is 150°. The correct option is D.
How to calculate the angle?The value of angles in a polygon is calculated by using the formula:
= (n - 2) × 180°
where n *+ number of sides
This will be illustrated as:
= (n - 2) × 180°
= (12 - 2) × 180°
= 10 × 180°
= 1800°
Since it has 12 sides, the value of each angle will be:
= Total angle / Total sides
= 1800° / 12
= 150°
The angle is 150°.
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Given that log3(z - 1) - logz z = 1+ 3 log3 y, express z in terms of y.
Answer:
z = 1 + 9y³
Step-by-step explanation:
It looks like you have ...
\(\log_3{(z-1)}-\log_z{(z)}=1+3\log_3{(y)}\\\\\log_3{(z-1)}-1=1+\log_3{(y^3)}\\\\\log_3{(z-1)}=2+\log_3{(y^3)}\qquad\text{add 1}\\\\z-1=(3^2)(y^3)\qquad\text{take antilog}\\\\\boxed{z=1+9y^3}\qquad\text{add 1}\)
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Part a
Setting \(x=6\), \(y=7.9(1.02)^6 \approx \boxed{8.9}\)
Part b
Setting \(x=14\), \(y=7.9(1.02)^{14} \approx \boxed{10.4}\)
The box plot represents the weekly salaries (in dollars) of 80 randomly selected employees of a company. The five-number summary that was used to construct this box plot is also below. Approximately how many employees are in each quartile?
Minimum = 475 Q1 = 650 Median = 845 Q3 = 975 Maximum = 2600
The approximate number of employees in each quartile can be found to be 20 employees.
How much of a dataset is in a quartile ?A quartile is a statistical term that refers to the values that divide a dataset into four equal parts, or quarters. Specifically, there are three quartiles that divide a dataset into four equal parts, each containing 25% of the data.
Given that there were 80 randomly selected employees, the number of employees per quartile would be :
= Number of employees x 25 %
= 80 x 25 %
= 80 x 1 / 4
= 80 / 4
= 20 employees
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please help Im in class
Answer:
sorry cant help
Step-by-step explanation:
Answer:
8/10=2nd 3rd =2 4th=3/5
CAN SOMEONE HELP WITH THIS QUESTION?✨
The value of \(sin^{-1}\)(- \(\frac{\sqrt{2} }{2}\)) in radians is \(-\frac{\pi }{4}\)
The value of \(sin^{-1}\)(1) in radians is \(\frac{\pi }{2}\)
The value of \(sin^{-1}\)(- 1/2) is \(-\frac{\pi }{6}\)
What are trigonometric ratios?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.
\(sin^{-1}\)(- \(\frac{\sqrt{2} }{2}\)) is -45 in degress
but \(\pi\) rad = 180°
so that - 45° in rad is \(\pi\) x - 45/180 which is - \(\frac{\pi }{4}\)
\(sin^{-1}\)(1) = 90°
but \(\pi\) rad = 180°
so that -90° in rad is \(\pi\) x 90/180 which is \(\frac{\pi }{2}\)
\(sin^{-1}\)(- 1/2) = -30°
but \(\pi\) rad = 180°
so that - 30° in rad is \(\pi\) x - 30/180 which is - \(\frac{\pi }{6}\)
In conclusion then values of the sine inverse of the functions are - \(\frac{\pi }{4}\), \(\frac{\pi }{2}\), and - \(\frac{\pi }{6}\)
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Solve the equation −96=3(8x)^(5/3).
Answer:
x= - 1
Step-by-step explanation:
is getting a pear of d rose 772 a bad choice because I'm white
Answer:
no, what you wear does not define you.
Step-by-step explanation:
8^6 divided by 8 simplified?? :)
Given: 8^6/8
Answer:32768
Step by step explanation:
To find we must use, PEMDAS, order of operations. (Parenthesis, exponents, multiplication, division, addition, and subtraction.Since we have no parenthesis we do exponents firstSince we are dividing we do 8^6-1 divided by 8The value of 8^6 is 262144Now we divide 252144 by 8 which gives us 32768Therefore, our answer is 32768#LearningIsFun
A model chair has been designed using a scale 1 inch : 5 inches. The height of the
model chair is 4 inches in length. What would be the actual height of the chair?
Answer:
20 Inches is the actual height
Step-by-step explanation:
Okay so it means 1 inch = 5 inches. There are 4 inches. 4 x 5 = 20.
Solve:
Picture Below
Answer: 8/3 or 2 2/3