2 hours and 40 minutes
Step-by-step explanation:
Let a be Mrs Santos
Let b be Mr. Salonga
Mrs. Santos can cook the menu for a party in 4 hours
a = 4 hours
Mr. Salonga can work twice as fast as she can.
b = 2 ( 4) = 8 hours
The word time formula is
1/a +1 /b = 1/t
Where t is the total time
Substitute the values
1/4 + 1/8 = 1/t
1/4 + 1/8 = 2/8 + 1/8 = 3/8
Therefore
3/8 = 1/t
Doing cross multiplication
3*t = 1 * 8
3t = 8
Dividing both sides by 3
3t/3 = 8/3
t = 8/3 hours
t =2 \frac{2}{3}t=2
3
2
hours or 2 hours and 40 minutes
When Louisa arranges her pennies into a rectangle with two equal rows, three equal rows, four equal rows, or six equal rows, she has one leftover penny. When she arranges her pennies into a rectangle with five equal rows, she has two leftover pennies. How many pennies could Louisa have? Remember he has between 10 and 40 pennies total.
Answer:
37
Step-by-step explanation:
All those can have equal rows with leaving the one out and with five equal groups it would leave 2
what does it mean by "determine the equation of a line that passes through the given point. First find the slope" someone please help and give answer ASAP
Answer:
y=-3x-1
Step-by-step explanation:
The mistake that was made was in the denominator of the work. The second 2 should be the -1. This is what you should get:
[tex]\frac{-7-2}{2-(-1)}[/tex]
[tex]\frac{-9}{3} =-3[/tex]
Hope that clear things up.
What is the length of the hypotenuse of the triangle?
Answer:
In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle. The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides. For example, if one of the other sides has a length of 3 (when squared, 9) and the other has a length of 4 (when squared, 16), then their squares add up to 25. The length of the hypotenuse is the square root of 25, that is, 5.
Step-by-step explanation:
Hope this helps! <3
Solve by using the quadratic formula: x^2 - 6x + 7 = 0 Please enter any square root values using "sqrt" or the decimal answer rounded to the nearest hundredth (i.e. V2 = sqrt(2) or 1.41).
Given parameters:
Quadratic expression:
x² - 6x + 7 = 0
Solve using quadratic formula;
x = [tex]\frac{-b +/- \sqrt{b^{2 } - 4ac} }{2a}[/tex]
From the equation;
a = 1, b = -6 and c = 7
Input the parameters and solve;
x = [tex]\frac{-(-6) +/- \sqrt{-6^{2 } + 4 x 1 x 7 } }{2 x 1}[/tex]
x = [tex]\frac{6 +/- \sqrt{36} +28 }{2}[/tex]
x = [tex]\frac{6 +/- \sqrt{64} }{2}[/tex]
x = [tex]\frac{6 + 8}{2 }[/tex] or [tex]\frac{6-8}{2}[/tex]
x = 7 or -1
Answer:x is 7 or -1
Step-by-step explanation: based on the quadratic expression
A selective college would like to have an entering class of 1200. Because not all students who are offered admission accept, the college admits more than 1200 students. Past experience shows that about 70% of the students will accept. The college decides to admit 1500 students. Assuming that students make their decision independently, the number who accept, X, has the Bin(1500, 0.70) distribution. If this number is lower than 1200, the college will admit students from its waiting list.What is the mean of the distribution of X - that is, the expected number of students who will accept admission
Answer:
The value is [tex]\mu = 1050 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 1500
The probability of a student accepting the admission is p = 0.70
Generally the mean off the distribution of X is mathematically represented as
[tex]\mu = np[/tex]
=> [tex]\mu = 1500 * 0.70 [/tex]
=> [tex]\mu = 1050 [/tex]
Write the
slope-intercept form
of the equation of the
line described:
Perpendicular to y=x+4 and passes through the point (2,2)
Answer:
y=-1x+4
Step-by-step explanation:
plz plz pls help pls
Answer:
The second choice.
Step-by-step explanation:
Answer:
52 + 4 = 4 + 52Step-by-step explanation:
Hope that will help youCan someone help on the whole page please... really need help
Answer:
See attached
Step-by-step explanation:
The answer filled in the paper, refer to attachment
Factor 5x^2? + 10x + 2x + 4.
Answer:
x 2 + 6 x +9
Step-by-step explanation:
What is 1/6 in a Percent
Answer:
16.67%
Step-by-step explanation:
1. Take 1 divided by six : 1/6 = 0.16666 . . .
2. Multiply by 100 to get a percent: 16.67%
4/3+1/6=p what two numbers does p fall between
solve the proportion just type in the answer do not include the variables 14/8 equals x over 20
[tex] \frac{14}{8} = \frac{x}{20} [/tex]
[tex]14 \times 20 = 8 \times x[/tex]
[tex]280 = 8x[/tex]
[tex]8x = 280[/tex]
[tex]x = \frac{280}{8} [/tex]
[tex]x = 35[/tex]
Using this let us find the proportional fractions :-[tex] \frac{14}{8} = \frac{x}{2 0 } [/tex]
[tex] \frac{14}{8} = \frac{35}{20} [/tex]
[tex]∴the \: proportional \: fractions \:are :[/tex]
[tex] \frac{14}{8} :: \frac{35}{20} [/tex]
in general how does perimeter "a" affect y=a(b x-c)?
A affects the slope of the graph.
When a is less than 1, the amplitude of the graph decreases which causes the slope of the graph to appear more flat.
When a is greater than 1, the amplitude of the graph increases which causes the slope of the graph to appear more steep.
What is a possible first step when multiplying 4/5 by 3
add the following conceptually and using the standard algorithm 79-26
Answer: 53
Step-by-step explanation:
79
-26
53
What's the number of people left to play at 10 of
15 have played
Answer:
5 people will be left to play
Answer: Out of 10 to 15 people played, 5 people are left to play
is 9.90 biger or less or equal 9.9
Answer:
Equal
Step-by-step explanation:
9.90 = 9.9
The difference is just decimal places
Evaluating the two values, both numbers 9.90 and 9.9 are equal.
The value 9.90 is written to 2 decimal places as the value of 0 in the hundredth place adds no value in terms of size to the number. The other value 9.9 is written to 1 decimal place. Hence, both values are of equal size.Hence, the values 9.90 and 9.9 are equal.
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Which expression is equivalent to 1/4 -3/4 x?
Answer:
factor out 1/4 from the expression
1/4x(1-3x)
What is the completely factored form of 3x5 – 7x4 + 6x2 – 14x?
(x Superscript 4 Baseline + 2 x) (3 x minus 7)
x Superscript 4 Baseline (3 x minus 7) (2 x minus 1)
x (x cubed + 2) (3 x minus 7)
x (3 x Superscript 4 Baseline minus 7 x cubed + 6 x minus 14)
Answer:
x(x³ + 2)(3x - 7)
Step-by-step explanation:
I got it right
The solution is Option D.
The equation is simplified as A = x ( 3x⁴ - 7x³ + 6x - 14 )
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = 3x⁵ - 7x⁴ + 6x² - 14x be equation (1)
Now , on factorizing the equation , we get
Taking the common factor as x in the equation , we get
A = x ( 3x⁴ - 7x³ + 6x - 14 )
Therefore , the value of A is x ( 3x⁴ - 7x³ + 6x - 14 )
Hence , the equation is A = x ( 3x⁴ - 7x³ + 6x - 14 )
To learn more about equations click :
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The Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurants across the United States. For restaurants located in Boston, the average price of a dinner, including one drink and tip, was . You are leaving on a business trip to Boston and will eat dinner at three of these restaurants. Your company will reimburse you for a maximum of per dinner. Business associates familiar with these restaurants have told you that the meal cost at one-third of these restaurants will exceed . Suppose that you randomly select three of these restaurants for dinner. a. What is the probability that none of the meals will exceed the cost covered by your company (to 4 decimals)
Answer:
Hello your question has some missing part below is the missing part
The Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurants across the United States. For 15 restaurants located in Boston, the average price of a dinner, including one drink and tip, was $48.60. You are leaving for a business trip to Boston and will eat dinner at three of these restaurants. Your company will reimburse you for a maximum of $50 per dinner. Business associates familiar with these restaurants have told you that the meal cost at one-third of these restaurants will exceed $50. Suppose that you randomly select three of these restaurants for dinner.
Answer : 0.2637
Step-by-step explanation:
Average price of dinner including one drink and a tip in Boston = $48.60
Number of restaurants = 15
number of restaurants whose meal cost more than $50 = 1/3 * 15 = 5
Probability that None of the meals will exceed the cost covered by your company
ATTACHED BELOW is the solution
P( none ) = 0.2637
What is the y-intercept of the function f(x) =-2/9x + 1/3?
-2/9
-1/3
1/3
2/9
Answer:
1/3 is the y-intercept of the function
The transformation function rule (x, y) --> (x - 1, y) is an example of which type of transformation?
Answer:
translation
Step-by-step explanation:
because it's only being moved left by one unit
R
(x + 1)
(3x - 5)
S
Р
What is mzPQR ?
Answer:
x+ 1= 3
Step-by-step explanation:
^^
Which of the following completes the statement?
In the number 45,569, the 5 in the hundreds place is ______ the 5 to its left.
A. the same value as
B. 1/10 the value of
C. 10 times the value of
D. 100 times the value of
Answer:
B
Step-by-step explanation:
Because the 5 in the hundreds place multiplied by 10 will result in the product of 5,000.
which property of equality is 4x-3=x+9
Answer:
Two equations that have the same solution are called equivalent equations e.g. 5 +3 = 2 + 6. And this as we learned in a previous section is shown by the equality sign =. An inverse operation are two operations that undo each other e.g. addition and subtraction or multiplication and division. You can perform the same inverse operation on each side of an equivalent equation without changing the equality.
5+3−2=6+2−2
This gives us a couple of properties that hold true for all equations.
The addition property of equality tells us that adding the same number to each side of an equation gives us an equivalent equation
ifa−b=c,thena−b+b=c+b,ora=c+b
The same goes with the subtraction property of equality.
ifa+b=c,thena+b−b=c−b,ora=c−b
As well as it goes for the multiplication property of equality. If you multiply each side of an equation with the same nonzero number you produce an equivalent equation.
ifab=c,andb≠0,thenab⋅b=c⋅b,ora=cb
And naturally this goes for the division property of equality as well. You can divide each side of an equation with the same nonzero number to produce an equivalent equation
ifa⋅b=c,andb≠0,thena⋅bb=cb,ora=cb
This gives us a way to change an equation to our own liking. Anything is acceptable as long as you do the same thing on both sides.
so pretty much what I'm tryna say it x=4
sorry for being so extra-
Someone, please help me out here.
P.S if you don't know the answer to this question don't comment at all because it's not very useful to me or anyone who needs help. Plus it just adds a warning to your account which may or may not get you banned.
Answer:
Smallest to largest
Step-by-step explanation
4/3, square root of 2, 1.423..., pie, 1.666...., square root of 4
please help me with functions
Answer:
1.) Domain: [-2, 1] Range: [1, 2] 2.) Domain: [-1, 2] Range: [-2, 2]
Step-by-step explanation:
A menagerie consists of seven brown dogs, two black dogs, six gray cats, ten black cats, five blue birds, six yellow birds, and one black bird. Deter- mine which of the following statements are true and which are false.
a. There is an animal in the menagerie that is red.
b. Every animal in the menagerie is a bird or a mammal.
c. Every animal in the menagerie is brown or gray or black.
d. There is an animal in the menagerie that is neither a cat nor a dog.
e. No animal in the menagerie is blue.
f. There are in the menagerie a dog, a cat, and a bird that all have the same color.
Answer:
(a) False
(b) True
(c) False
(d) True
(e) False
(d) True
Step-by-step explanation:
(a) There is an animal in the menagerie that is red (false, the colors of the animals are brown, black, gray, blue, yellow)
(b) Every animal in the menagerie is a bird or a mammal (True, dogs and cats are mammal)
(c) Every animal in the menagerie is brown or gray or black. (false, there are five different colors of animals in the menagerie)
(d) There is an animal in the menagerie that is neither a cat nor a dog (True, the animal is bird)
(e) No animal in the menagerie is blue ( False, there are five blue birds)
(f) There are in the menagerie a dog, a cat, and a bird that all have the same color. (True, the color is black)
6 eggs weigh 3/4 of a pound. How much does each egg weigh?
9514 1404 393
Answer:
1/8 lb or 2 oz
Step-by-step explanation:
You find the weight per egg by dividing the weight by the number of eggs:
(3/4 lb)/(6 eggs) = 3/24 lb/egg = 1/8 lb/egg
A pound is 16 ounces, so 1/8 lb is 2 oz.
Each egg weighs 1/8 lb or 2 oz.
The length of the window is 2m longer than its width and the are is 32m²