Holy will take 13/5 or 2.6 hours to finish the bookcase.
What is relation between time and work?The relation between time and work is
Work Done = Time Taken × Rate of Work ·
or, Rate of Work = 1 / Time Taken ·
or, Time Taken = 1 / Rate of Work ·
Now it is given that,
Time taken by Fritz to build a bookcase = 8 hours
So, Bookcase build by Fritz in 1 hour = 1/8
Similarly,
Time taken by Holly to build a bookcase = 10 hours
So, Bookcase build by Holly in 1 hour = 1/10
So, bookcase build in 3 hours
Fritz = 3/8
Holly = 3/10
Total bookcase build in 3 hours = 3/8 + 3/10 = 27/40
So. remaining work = 1 - 27/40 = 13/40
Thus, Time taken by Fritz to complete the bookcase = 8 * (13/40) hours
= 13/5 or 2.6 hours
Thus, Holy will take 13/5 or 2.6 hours to finish the bookcase.
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When Betty painted her house, she used 3 gallons of white paint and 2 gallons of brown paint. How many gallons of paint did Betty use in all?
Answer:
5 gallons
Step-by-step explanation:
You just add 2 gallons and 3 gallons and you get
An ordinary deck of 52 cards is shuffled. what is the probability that the top four cards have (a) different denominations? (b) different suits?
The different denomination is 0.6761
The different suits are 0.1055
What are deck of cards consist of?A standard deck of cards has four suites: hearts, clubs, spades, diamonds. Each suite has thirteen cards: ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen and king. Thus the entire deck has 52 cards total.
Given:
Deck of cards= 52
Now,
There are 4 denomination in each cards
and there are 4 suits in deck of cards
a) different denominations
=52*48*44*40/(52*51*50*49)
= 0.6761
b) different suits
=52*39*26*13/ /(52*51*50*49)
= 0.1055
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Identify the property that justifies the statement. ∠LMN ≅ ∠LMN
Please Hurry!!
The property which justifies the statement, ∠LMN ≅ ∠LMN is: C. reflexive property of ≅.
Corresponding parts of two congruent figures.In Mathematics, two geometric figures are considered to be congruent only when their corresponding side lengths are congruent and the magnitude of their angles are congruent.
What is the reflexive property of congruence?The reflexive property of congruence states that a line segment, an angle, or geometric shape (geometric figure) is always congruent to itself.
This ultimately implies that, for all angles M , ∠M ≅ ∠M. In this context, we can reasonably infer and logically deduce that the property which justifies the statement, ∠LMN ≅ ∠LMN is reflexive property of ≅.
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Graph: y < 1/3x + 1/2
Answer: See attached.
Step-by-step explanation:
Since this inequality uses < and not ≤, we will be using a dashed line.
Next, we will shade "below" the line since this inequality uses the < aka less than.
Lastly, our y-intercept is [tex]\frac{1}{2}[/tex].
simplify 3a x 5b x 5b x 6c
19.6 is 24.5% of what number?
- For 11 points
Answer:
80
Step-by-step explanation:
[tex]\frac{24.5}{100} *x = 19.6\\x = 19.6 *\frac{100}{24.5} \\x = 80[/tex]
19.6 is 24.5% of 80
Answer:
24.5% of 80= 19.6
Step-by-step explanation:
24.5% of what number is equal to 19.6
24.5
____ x = 19.6
100 100
x = 19.6 x ____
24.5
= x =80
HOPE IT HELPS
latoya plots the integers -8, -5, and 2 on a number line. which of the following is the distance between one pair of integers that she plotted?
distance between one pair of integers that she plotted: 10 unit, 7 unit, 3 unit.
Number line :
the line is a horizontal line that has equally spread number increments. The numbers included on the line will determine how the number on the line can be answered. The question that goes with the number determines how it will be used, for example, in plotting a point.
The numbers on the left are smaller than the numbers on the right of the number line. A number line can also be used to carry out addition, subtraction, and multiplication. We always move right to add, move left to subtract, and skip count to multiply.
Distance formula :
D= right side integer of horizontal line - left side integer of the horizontal line
Distance between the points -8 and 2
d = 2-(-8)
d=10 unit
Distance between the points -5 and 2
d= 2-(-5)
d=2+5
d=7 unit
Distance between the points -5 and -8
d= -5-(-8)
d=-5+8
d=3
distance between one pair of integers that she plotted: 10 unit, 7 unit, 3 unit.
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Question 2(Multiple Choice Worth 1 points)
(01.01 LC)
Evaluate the expression 5(7-4)2 = 3 + 11.
03
14
026
33
26 is the right answer .
Given expression 5(7 - 4)² ÷ 3 + 11.
BODMAS rule is an acronym that is used to remember the order of operations to be followed while solving expressions in mathematics. It stands for B - Brackets, O - Order of powers or roots, D - Division, M - Multiplication, A - Addition, and S - Subtraction. It means that expressions having multiple operators need to be simplified from left to right in this order only. First, we solve brackets, then powers or roots, then division or multiplication (whichever comes first from the left side of the expression), and then finally, subtraction or addition, whichever comes on the left side.
Using the BODMAS rule, we solve bracket first,
5(3)² ÷ 3 + 11
45 ÷ 3 + 11
= 15 + 11
= 26
after evaluate the expression we get 26 as answer.
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At the beginning of the day, the temperature is -15oF. As the sun comes out, it warms to a high of 8oF. What is the difference in temperature throughout the day?
PLEASE ANSWER FAST IM TIMEDDDD!!!!
Answer:23
Step-by-step explanation: take -15 and negate it which will set you at 15 then add 8 will put you at 23degrees
Given f(-3) = -30 for some polynomial, what factor can f(x) be divided by that will result in a remainder of -30?
Answer:If you can spot a factor of
f(x)
then you can use synthetic division to divide by that factor to give a simpler polynomial to factor.
Step-by-step explanation:
Javid makes a large container of fruit juice by mixing orange juice and mango juice in the ratio 3:7 Orange juice costs £6 per 4 litres. Mango juice costs £5 per 10 litres.Javid sells his fruit juice in 2-litre bottles for £2 per bottle. Calculate how much profit he makes for each bottle he sells.
Javid will make a profit of £ 0.40 for each bottle sold.
How much profit does Javid makes for each bottle he sells?
The orange juice capacity to mango juice capacity ratio, the unit cost for each juice and the end product price. First, determine the amount of orange juice and mango juice to produce a 2-litre bottle:
Orange juice capacity
x = (3 / 10) × 2 L
x = 0.6 L
Mango juice
y = (7 / 10) × 2 L
y = 1.4 L
Second, calculate the cost of each juice by simple rule of three:
Orange juice
x' = (0.6 L / 4 L) × 6 GBP
x' = 0.90 GBP
Mango juice
y' = (1.4 L / 10 L) × 5 GBP
y' = 0.70 GBP
Third, add the two results found in the previous step and find the production cost for a 2-litre bottle:
z = x' + y'
z = 0.90 GBP + 0.70 GBP
z = 1.60 GBP
Fourth, calculate the profit by subtracting the result found in the previous step to the end product price:
z' = 2 GBP - 1.60 GBP
z' = 0.40 GBP
Javid will make a profit of £ 0.40 for each bottle sold.
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What is the slope of this graph? On a coordinate plane, a line goes through points A (1, 4) and B (3, 2).
Answer:
yes hdhdhzbw Ziad uebs U ue susna
A jet left the airport flying north one hour
before an Air Force plane. The Air Force
plane flew in the opposite direction going
55 mph slower than the jet for ten hours
after which time the planes were 9845 mi.
apart. What was the jet's speed?
Answer:I think the answer would be 179 mi.
Step-by-step explanation:9845 divided by 55 is equal to 179
I need help w this asap
Answer: 6.8*10⁻⁴=0.00068
Step-by-step explanation:
[tex]6.8*10^{-4}=0.00068[/tex]
Your revenue (in dollars) for selling x bracelets is given by f(x) = 5x and your profit is $50 less than 80% of the revenue. What is your profit for 77 sales?
From the calculation carried out below, it can be observed that the profit for 77 sales is $258.
How do we calculate profit for sales?Given revenue as:
f(x) = 5x ............................ (1)
Where:
x = Number of bracelets sold or sales = 77
Total obtain the revenue, substitute x = 77 into equation (1), we have:
Revenue = f(77) = 5 * 77
Revenue = $385
Since profit is $50 less than 80% of the revenue, we have:
Profit = (Revenue * 80%) - 50
Profit = (385 * 80%) - 50
Profit = 308 - 50
Profit = $258
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Please help with photo below
Answer:
No
Step-by-step explanation:
like terms are terms which have the same variable , that is
10x and - 5x are like terms, they both have the same variable x
A student and teacher are racing to finish a book. It takes the teacher 14.4 hours to complete the book. It takes the student 1.75 times as long to finish. Based on this information, which statement is true?
Answer:
I don't know about that and I don't understand
These numbers form an addition and subtraction fact family.
4, 2, 6
Choose the fact family formed by these numbers.
OA 2+6=8
8-6=2
2+2=4
4-2=2
OB. 2+4= 6
6-4=2
OC 4+2=6
6-2=4
OD. 4+2=6
6-2=4
2+4=6
6-4=2
The correct family is option D.
To understand this problem we must be aware of the concept of addition and subtraction and also BODMAS rules which applies in an linear equation.
The numbers given here are 4,2 and 6.
We can see here that on adding 4 and 2 we get 6;
4+2=6
And on subtracting 2 from 6 we get 4;
6-2=4
Also we can see here that on subtracting 4 from 6 we get 2;
6-4=2.
These three relations are true for the given numbers.
And we can see that option D clearly fits the answer.
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What is the equation of the line that is perpendicular to and has the same y-intercept as the given line? y = one-fifthx 1 y = one-fifthx 5 y = 5x 1 y = 5x 5
For the following equation of the line: y = (1/5)x + 1, y = (1/5)x + 5, y = 5x + 1, and y = 5x + 5, the line that is perpendicular to it and has the same y - intercept is: y = -5x + 1, y = -5x + 5, y = (-1/5)x + 1, and y = (-1/5)x + 5, respectively.
If two equations of the line are perpendicular with each other, then their slopes are negative reciprocal of one another.
To generate the equation of the line perpendicular to the given lines, with the same y-intercept,
1. Get the slope of each line and determine its y-intercept
2. Take the negative reciprocal of the slope and use it and the same y-intercept to get the equation.
y = (1/5)x + 1
slope = 1/5
y-intercept = 1
perpendicular line :
slope = -5
y-intercept = 1
equation : y = -5x + 1
y = (1/5)x + 5
slope = 1/5
y-intercept = 5
perpendicular line :
slope = -5
y-intercept = 5
equation : y = -5x + 5
y = 5x + 1
slope = 5
y-intercept = 1
perpendicular line :
slope = -1/5
y-intercept = 1
equation : y = (-1/5)x + 1
y = 5x + 5
slope = 5
y-intercept = 5
perpendicular line :
slope = -1/5
y-intercept = 5
equation : y = (-1/5)x + 5
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Answer:
C y = 5x + 1
Step-by-step explanation:
Took the test on edu
Find the value of
(8/125) -2/-3
The value of the exponent equation [tex]\frac{8}{125} ^{-2/3}[/tex] is 25/4 or 6.25.
According to the question the exponent equation that we have been given is :
[tex]\frac{8}{125} ^{-2/3}[/tex]
First, we will change the negative sign of the exponent and to change the negative sign of the exponent we will reciprocal the fraction that is
= [tex]\frac{125}{8} ^{2/3}[/tex]
Which is also equal to
= [tex]{125} ^{-2/3}/8^{2/3}[/tex]
Now we know that 5³ =125 and 2³ = 8. Thus replacing the numerator and denominator by it we get,
= [tex](5^{3}) ^{2/3}/(2^{3}) ^{2/3}[/tex]
= 5²/2²
= 25/4
= 6.25
Hence the value of the exponent equation is 25/4 or 6.25
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is y=10^2 linear or no linear
Answer: it is linear
Step-by-step explanation:
y = 10^2
y = 100
horizontal line going through y = 100
140%of 138.6 is what
Hello, the answer is 194.04.
First, you would convert 140% to a decimal which is 1.4. Next, you would multiply 1.4 x 138.6 = 194.04.
So the steps to a percentage multiplied to a number are:
1. Convert the percentage to a decimal.
2. Multiply the decimal by the number.
3. You get the answer.
An instructor gives a short quiz involving 10 true-false questions. To test the hypothesis that the student is guessing the following decision rule is adopted :
176/2^10 = 0.171875.
n=10, p=1/2, q=1/2
probability of student passes the quiz only if he answers 7 or more than 7 questions correctly and let it be x
P(x)=10C7(0.5)^7(0.5)^3 + 10C8(0.5)^8(0.5)^2 + 10C9(0.5)^9(0.5)^1
+ 10C10(0.5)^10(0.5)^0
=120 /1024 + 45/1024 + 10/1024 + 1/1024
P(x)=176 / 1024
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Does each box at the fruit stand contain a different fruit? set all_different to true if each box contains a different fruit or to false if multiple boxes contain the same fruit.
No, multiple boxes contain the same fruit.
3 boxes contains the same fruit : strawberry
all different = False
From the given table,
box ID | fruit name | count
53686 | kiwi | 45
57181 | strawberry | 123
25274 | apple | 20
48800 | orange | 35
26187 | strawberry | 255
57930 | grape | 517
52357 | strawberry | 102
43566 | peach | 40
=> You can see that, each box have a unique box ID, and a fruit name for each box.
=> These 57181, 26187, 52357 boxes contains strawberry.
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if X over 3 equals to 4 over 6. What is X?
Answer:2 beacuse if u divide 4 by 2 and 6 by 2 u get 2/3
Step-by-step explanation:
what is divide 3/2 and 9/4
Answer:
Step-by-step explanation:
1.5 and 2.25
HELP PLS will mark brainliest
[tex](1-\frac{9x^2+4}{12x} )/(\frac{1}{3x}-\frac{1}{2} )+1[/tex]
Answer:
[tex] \frac{3x}{2} [/tex]
A random sample of 10 subjects have weights with a standard deviation of kg. What is the variance of their weights? be sure to include the appropriate units with the result.
The variance of their weights is 128.87270 kg².
It is required to find the variance of their weights.
What is standard deviation ?A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
Given:
Let n=sample size=10 subjects
Standard deviation=11.352211.3522 kg
Using this formula
Variance=(Standard deviation)²
By the formula we get,
Variance=(11.352211.3522 kg)²
Variance=128.87270 kg²
Therefore, the variance of their weights is 128.87270 kg².
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What is the equation of the line that is perpendicular to the line y =1/2x+5 and passes through the point (-2, 3)?
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]y=\stackrel{\stackrel{ m}{\downarrow }}{\cfrac{1}{2}}x+5\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{1}{2}} ~\hfill \stackrel{reciprocal}{\cfrac{2}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{2}{1}\implies -2}}[/tex]
so, we're really looking for the equation of a line with a slope of -2 and that passes through (-2 , 3)
[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{3})\hspace{10em} \stackrel{slope}{m} ~=~ - 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{- 2}(x-\stackrel{x_1}{(-2)})\implies y-3=-2(x+2) \\\\\\ y-3=-2x-4\implies y=-2x-1[/tex]
Given x = 1, y = 1, w = 1, and z = 1 and this expression: what is the evaluation of the logical expression?
The evaluation of the expression is 2, if the expression is x - y + z(x + w).
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
Given that x = 1, y = 1, w = 1, and z = 1
We have been given expression
⇒ x - y + z(x + w)
Substitute the values of x = 1, y = 1, w = 1, and z = 1 in the above expression,
⇒ 1 - 1 + 1(1 + 1)
⇒ 0 + 1(2)
⇒ 2
Hence, the evaluation of the expression is 2.
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Your question is incomplete, probably the missing part is:
Given x = 1, y = 1, w = 1, and z = 1 and this expression x - y + z(x + w): what is the evaluation of the logical expression?
