Answer:
Step 1. The perimeter P means adding up all four sides of a rectangle.
Step 2. Let w be the width
Step 3. Let 3w be the length since the width is one-third the length
Step 4. Then P=w+w+3w+3w=8w=20 since the perimeter P is 20 cm.
Step 5. Solving the equation in Step 4 leads to the following steps
Divide by 8 to both sides of the equation
8w%2F8=20%2F8
w=5%2F2 and 3w=15/2 and P=2(5/2+15/2)=20 which is a true statement.
Step 6. ANSWER: The width is 5/2 cm.
Step-by-step explanation:
I hope the above steps and explanation were helpful.
Which graph represents the solution set for the inequality 1xs18?
O
O
O
O
01 2 3 4 5
6
7 8 9 10
0 6 12 18 24 30 36 42 48 54 60
0 1 2
+ + +
+
3
4
4 5 6 7 8 9 10
+
0 6 12 18 24 30 36 42 48 54 60
2
k
Answer: Graph D
The inequality solves to [tex]\text{x} \le 36[/tex]
=====================================================
Explanation:
The goal is to solve for x.
Multiply both sides by 2 to go from
[tex]\frac{1}{2}\text{x} \le 18[/tex]
to
[tex]\text{x} \le 36[/tex]
The inequality sign does not flip. It would only do so if you multiplied or divided both sides by a negative number.
The graph will have a closed filled in circle at 36, with shading to the left. This is to visually show the set of all x values that are 36 or smaller. The endpoint 36 is included in the solution set (an open hole would be used if you wanted to exclude it from the solution).
This describes Graph D
all
S
ants
mber
4. FIELD TRIP The sixth-grade teachers
collected money from students during
three days for theater tickets to a
play. The ticket cost a whole number
of dollars. If every student paid the
same amount, what is the most the
tickets could cost per student?
Monday
Tuesday
Wednesday
$64
$36
$52
Answer:
Monday.
Step-by-step explanation:
total money = the cost of one day x the number of students
$64 > $52 > $36
$64 is the greatest, so the correct answer is monday.
seven and three eighths times negative one and two thirds.
Answer: -12 7/24
Step-by-step explanation:
Convert the mixed numbers to fractions (59/8 and -5/3) then multiply across to get -295/24. Simplify for -12 7/24.
Hope this helps :)
Answer: decimal -12.29 fraction -295/24
Step-by-step explanation:
!!!100 POINTS!!! Correct answer gets brainliest.
The total payroll for a baseball team is 2.37 x 109 dollars, and the total payroll for a football team is 2.8 x 1011 dollars. How many more dollars is the football team's total payroll than the baseball team's total payroll?
4.3 x 1011 dollars
2.7763 x 1011 dollars
2.7763 x 109 dollars
0.43 x 109 dollars
Based on the total payroll of the football team and the total payroll of the baseball team, the difference is 2.7763 x 10¹¹
What is the difference in payroll?The total payroll of the baseball team is:
= 2.37 x 10⁹
= $2,370,000,000
The total payroll of the football team is:
= 2.8 x 10¹¹
= $280,000,000,000
The difference is:
= 280,000,000,000 - 2,370,000,000
= $277,630,000,000
In scientific notation this is:
= 2.7763 x 10¹¹
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Answer:
b 2.7763 x 1011
Step-by-step explanation:
Simplify three eighths times the quantity 1 plus the square root of 49 end quantity squared minus the quantity four minus one end quantity cubed.
−3
−2
21
24
The value of the given expression is equivalent to -3
Simplifying linear equationsLinear equations are equation that has a linear degree of 1.
The statement three eighths times the quantity 1 plus the square root of 49 end quantity squared minus the quantity four minus one end quantity cubed is written mathematically as:
3/8(1+√49)² - (4-1)³
Expand to have:
3/8(1+7)² - 3³
3/8(8)² -27
3/8(64) - 27
3(8) - 27
24 - 27
-3
Hence the value of the given expression is equivalent to -3
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Write the number described by
I ten 16 ones.
Answer:
26
Step-by-step explanation:
10 + 26 = 26
Answer:
26
Step-by-step explanation:
1 × 10 + 16 × 1 = 10 + 16 = 26
Can somone help me with thisASAP
What is the turning point of the graph of f(x)=|x|+4 ?
(0, −4)
(0, 4)
(4, 0)
(−4, 0)
The turning point is the point where the function changes its slope for the given mode function f(x)=|x|+4 the turning point is at (0,4) so option (B) will be correct.
What is a graph?A graph is a diametrical representation of any function between the dependent and independent variables.
The graph is easy to understand behavior of the graph.
Given the mode function,
f(x)=|x|+4
For x < 0 the function f(x) will be
f(x) = -x + 4
For x > 0 the function f(x) will be
f(x) = x + 4
Now,
Slope at x < 0 → f'(x) = -1
Slope at x > 0 → f'(x) = +1
Since the slope is changing at x = 0 there fore x = 0 will be the turning point of the graph.
Hence "The turning point of the given mode function f(x)=|x|+4 will be at x = 0".
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How do you write 3 7/8 in a decimal form
Answer:
3.875
Step-by-step explanation:
The way you can do this is if you change 3 7/8 into a improper fraction.
3 7/8
To make improper fraction, you do 8x3+7 and that will be your numertor and 8 will be your denomintator. Then you will get 31/8. Now you do 31 dived by 8. That should igve you 3.875.
Let me know if this helps!! :)
The length of a rectangle is 4yd longer than its width.
If the perimeter of the rectangle is 68yd, find its length and width.
Answer:
Length= 19 yd
Width= 15 yd
Step-by-step explanation:
The perimeter of a rectangle is the sum of the lengths of all its sides.
Mathematically, it can be represented as below:
[tex]\boxed{\text{Perimeter of rectangle}=2\text{(length}+\text{width)}}[/tex]
Define variables used:
Let the length and width of the rectangle be L and W yards respectively.
Form an equation:
Given that the length of the rectangle is 4 yards longer that the width,
L= W +4 -----(1)
Next, form another equation using information on the perimeter.
68= 2(L +W) -----(2)
Substitute equation (1) into (2):
68= 2(W +4 +W)
68= 2(2W +4)
Divide both sides by 2:
34= 2W +4
Subtract both sides by 4:
2W= 34 -4
2W= 30
Divide both sides by 2:
W= 30 ÷2
W= 15
Substitute W= 15 into (1):
L= 15 +4
L= 19
Therefore, the length and width of the rectangle is 19 and 15 yards respectively.
Additional:
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Diane got a prepaid debit card with $25 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 12
cents per yard. If after that purchase there was $22.84 left on the card, how many yards of ribbon did Diane buy?
yards
X
5
Answer:
The number of yards of ribbon that Diane buy in total from the prepaid debit card with $25 on it is 0.18 yards.
Step-by-step explanation:
It is given that, Diane got a prepaid debit card with $25 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 12 cents per yard.
Now, if after that purchase there was $22.84 left on the card, let's calculate how many yards of ribbon did Diane buy in total and for that we need to;
Furthermore, based on the given conditions, we will be formulating the following;
=> (25-22.84) / 12
=> 2.16/12
=> 216/100 × 1/12
=> 9/25 × 1/2
=> 9 / (25×2)
=> 9/50
=> 0.18 yards
Therefore, the number of yards of ribbon that Diane buy in total from the prepaid debit card with $25 on it is 0.18 yards.
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Please help simplify
Answer: B. 24
Step-by-step explanation:
In a survey of 720 human resource professionals, each was asked about the importance of the education of a job applicant. The survey subjects were randomly selected by pollsters from a reputable market research firm.
It seems to be reasonable so because survey data is unbiased.
What is defined as the unbiased survey data?An unbiased sample is one in which every individual or element in the population does have an equal chance of being chosen.
A sample assessment of a population parameter for whom sampling distribution does have a mean equal to the parameter of been estimated is an unbiased statistic. Some traditional statistics provide unbiased estimates of their associated parameters, while others do not. The sample mean is the most basic example of an unbiased statistic. The sample mean is normally distributed with a mean equal to the population mean under the usual assumptions of population normality and simple random sampling with a mean equal to the population mean and a standard deviation equal to the population variance divided by the square root of the sample size.As, for the given question, the 720 human resource professionals survey is done considering each individual equal weight age for all.
A population proportion is also a unbiased estimate of a sample proportion.
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Ian drove home from college traveling an average speed of 61.5 mph and drove back to the college the following week at an average speed of 65.2 mph. If the total round trip took 11 hours, how much time did it take Ian to drive from home back to college? Express the time in hours and minutes. Round to the nearest minute.
(Blank) hours (Blank) minutes
Show your work!
Explain your answer!
Do not spam answers!
Thanks!
Time taken in hours from home to college is; 5 hours 20 minutes
How to calculate time from speed?We are given;
Going home DATA:
Speed rate = 61.5 mph
Distance = x miles
Time taken = distance/speed = x/61.5 hrs
Going to college DATA:
Speed rate = 65.2 mph
Distance = x miles
Time taken = x/65.2 hrs
Thus, the equation set up is:
x/61.5 + x/65.2 = 11
Multiply through by (61.5 * 65.2) to get;
65.2x + 61.5x = 11 * (61.5 * 65.2)
126.7x = 44107.8
x = 44107.8/126.7
x = 348.1279 miles
Thus;
Time in hours from home to college = 348.1279/65.2
Time in hours from home to college = 5.34 hours = 5 hours 20 minutes
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Sakura's house is at an elevation between 113 m and 120 m above sea level. Her friend Ted lives about 15 m below he Part A Choose the compound inequality that describes the elevation x of Ted's house.
A 113 < 15 - x<120
B. 113 < x + 15 <120
C. 113 < x < 120
D. 113 <x - 15 < 120
The compound inequality that describes the elevation x of Ted's house with respect to Sakura's house is: D. 113 < x - 15 < 120.
What is an inequality?An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:
Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).Based on the information provided, the minimum and maximum heights for Sakura's house can be represented by this compound inequality:
113 < x < 120
Since Ted lives about 15 meters below her, compound inequality would be rewritten as follows:
113 < x - 15 < 120.
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Last year, Abdul opened an investment account with $8600. At the end of the year, the amount in the account had decreased by 7.5%. How much is this decrease in dollars? How much money was in his account at the end of last year?
The amount that decreased in dollars is equal to $ 645 and the money left in the account at the end of the year is $ 7955.
The amount of investment that Abdul opened an account with = $ 8600
The amount decreased by 7.5 %.
So, the amount left will be calculated by first using the percentage to find the amount that decreased.
Amount decreased = 7.5 % of 8600
Amount decreased = 0.075 × 8600
Amount decreased = $ 645
Amount left at the end of the year = $ 8600 - $ 645
Amount left at the end of the year = $ 7955
Therefore, the amount that decreased in dollars is equal to $ 645 and the money left in the account at the end of the year is $ 7955.
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Which operation should you calculate first? 18÷3−7+2×5
Answer:
9 will be the answer.....
Shawn took the bus from Seattle to Portland, a distance of 175 miles. If the trip took 3.5 hours, what was the speed of the bus?
Answer:
50 miles or hour
Step-by-step explanation:
SPEED= DISTANCE/TIME
SPEED = 175/ 3.5
SPEED= 50
Expression for the quotient of twice a number, and the sum of the number and seven
In linear equation , 2n/7 is Expression for the quotient .
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.Let the number = n
A quotient is the result of a division.
the quotient of twice a number = 2n
= 2n/7
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Solve the formula for the specified variable.
V=BMK for B
The formula for the 'B' variable is V/MK
How to determine the expressionTo solve for the variable B is to make it the subject of formula.
Subject of formula is the variable that is expressed in terms of the other variables in a given formula, expression, function or equation.
Example;
In the equation, 2x + y = 4, let's make 'y' the subject of formula
y = 4 - 2x
Given the expression;
V=BMK
To make 'B' the subject, we need to divide both sides by the coefficients of B, we have;
V/MK = BMK/MK
B = V/MK
Thus, the formula for the 'B' variable is V/MK
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What’s 14/20 - 81/90
Answer: -1/5
Step-by-step explanation:
14/20 - 81/90=
7/10-9/10= ==> 10 is the GCF of 20 and 90
(7-9)/10=
-2/10=-1/5
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{14}{20} - \dfrac{81}{90}}[/tex]
[tex]\mathsf{= \dfrac{14\div2}{20\div2} - \dfrac{81\div 9}{90\div9}}[/tex]
[tex]\mathsf{= \dfrac{7}{10} - \dfrac{9}{10}}[/tex]
[tex]\mathsf{= \dfrac{7 - 9}{10 - 0}}[/tex]
[tex]\mathsf{= \dfrac{-2}{10}}[/tex]
[tex]\mathsf{= \dfrac{-2\div 2}{10\div2}}[/tex]
[tex]\mathsf{= \dfrac{-1}{5}}[/tex]
[tex]\huge\text{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{-\dfrac{1}{5}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
A town's employment statistics show that 855 of its residents were unemployed last month. This is a decrease of 25% from the previous month. How many residents were unemployed in the previous month?
Pls answer report if wrong
Answer:
III
Step-by-step explanation:
It is expanded by an uneven scale factor.
HELPPPPPPPPPPPPPPPPPPPPPP
let DF become y
y = x + 9
to find x let y = 0
0 = x + 9
transpose 9
-9 = x
therefore DF = -9 as an integer
The perimeter of the triangle shown is 89 meters. Find the length of each side.
Greetings from Brasil...
The perimeter is the sum of all sides of the triangle. In this case
P = (2X) + (X) + (4X - 9)
as P = 89
89 = (2X) + (X) + (4X - 9)
89 = 7X - 9
7X = 98
X = 98/7
X = 14X:
X meters = X = 14
---------------------------------------------
2X:
2X meters = 2 · X = 2 · 14 = 28
---------------------------------------------
(4X - 9):
(4X - 9) meters = (4 · X - 9) = (4 · 14 - 9) = (56 - 9) = 47
Jada cuts a strip of paper into 5 equal parts. Each part is 7/5 inches long. How long was the strip of paper?
The length of the strip of paper is 7 inches.
How to calculate the value?From the information, Jada cuts a strip of paper into 5 equal parts and each part is 7/5 inches long.
Therefore, the length of the strip will be:
= 7/5 × 5
= 7 inches.
The length is 7 inches.
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All of my sides are the
same length. I have 4
right angles which
quadrilateral am I?
Answer:square
Step-by-step explanation: all right angles, all 90 degrees
You want to buy a $193,000 home. You plan to pay 5% as a down payment, and take out a 30 year loan for the rest.
Answer:
Down Payment = 5% of 168,000. You finance 95% of 168,000 which is the PV of your payments.
Use the same annuity formula as in your student loan question with monthly rate = 7%/12 and t=12*30 =360 months. That will give you your payment amount.
you will make 360 payments so total Payments = 360*pmt. Total Payments less principal = total interest paid.
7+ [1 + (3×6+5)] ÷ 2
Answer: 25
Step-by-step explanation:
Multiplication and Division always come before Addition and Subtraction unless they are in brackets, which has top priority. In this case, the order would be ( ) [ ] ÷ +
( ) :
3 x 6 = 30 + 5 = 35
[ ] :
35 + 1 = 36
÷ :
36 ÷ 2 = 18
+ :
7 + 18 = 25
Answer: 25
The tank for a car holds 20 gallons . The gasoline gauge shows the tank is 2/3 full. How much gas is still in the tank? Give your answer as a whole number or as a mixed fraction reduced to lowest terms.
The amount of gas in the tank is 13 1/3 gallons
How to calculate the amount of gas in the tank ?The tank of the car holds 20 gallons of gas
The gasoline gauge shows 2/3 full
The amount of gas left in the tank can be calculated as follows
= 2/3 × 20
= 40/3
= 13 1/3
Hence there are 13 1/3 gallons of fuel left in the tank
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How many board feet of wood are there in 750-2 x 10-16'?
Answer:
Step-by-step explanation:
Newton’s law of cooling describes the rate at which an exposed body changes temperature through radiation which is approximately proportional to the difference between the object’s temperature and its surroundings, provided the difference is small.
Definition: According to Newton’s law of cooling, the rate of loss of heat from a body is directly proportional to the difference in the temperature of the body and its surroundings.
Answer:
Radioactivity is the phenomenon of the spontaneous disintegration of unstable atomic nuclei to atomic nuclei to form more energetically stable atomic nuclei. Radioactive decay is a highly exoergic, statistically random, first-order process that occurs with a small amount of mass being converted to energy. Since it is a first-order process, each radioactive species is characterized by its own half-life, the length of time in which an initially very large number of such nuclei will have decayed to only half the original number.
Step-by-step explanation: