It will take Fred 42 minutes to type and spell check 60 pages.
Let the first scenario be A.Let the second scenario be B.Let the unknown time be X.Given the following data;
Time taken A = 9 minutesNumber of pages A = 13 pagesNumber of pages B = 60 pagesTime taken B = X minutesTo find how long it takes him to type and spell check 60 pages;
We would use direct proportion to express the work described and solve for the unknown variable (time).
[tex]9 \;minutes : 13 \;pages\\\\X \;minutes : 60 \;pages[/tex]
Cross-multiplying, we have;
[tex]9[/tex] × [tex]60[/tex] [tex]= 13[/tex] × [tex]X[/tex]
[tex]540 = 13X\\\\X = \frac{540}{13}[/tex]
X = 41.54 ≈ 42 minutes
Therefore, it will take Fred 42 minutes to type and spell check 60 pages.
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plot the points (0, -2) (4, 1)
a store sells pencils pens and markers that sells two times as many markers as pencils and three times as many pens as pencils is the store sells a total of 1950 pencils and pens and markers in a week how many of each were sold
Answer:
Pencils = 325 ; Pens = 975 ; Markers = 650
Step-by-step explanation:
Let :
Number of Pencils = x
Number of pens = y
Number of markers = z
2 times as many markers as pencils
z = 2x
3 times as many pens as pencils
y = 3x
x + y + z = 1950
Write z and y in terms of x in the equation :
x + 3x + 2x = 1950
6x = 1950
Divide both sides by 6
6x / 6 = 1950 / 6
x = 325
Number of pencils = 325
Pens = 3 * 325 = 975
Markers = 2 * 325 = 650
Pencils = 325 ; Pens = 975 ; Markers = 650
Answer please answer!!
I need the answer asap
Answer:
35 cm
Step-by-step explanation:
is the correct answer
HELP!!
Consider the polynomial
Answer:
1. coefficient of 3rd term = 1
2. constant term= 0
The coefficient of the third term is 1 while the constant term is 0 for the given expression.
What is an expression?An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that all are constrained and create an equation.
For example 3x +5y
As per the given polynomial,
(1/2)a⁴ + 3a³ + a
Here a is a variable.
(1)
The third term is a and its coefficient is 1 as (1)a.
(2)
All terms have variable "a" thus none of the terms is constant so the constant term is 0.
Hence "For the following statement, the constant term has a coefficient of 0 and the third term has a coefficient of 1".
To learn more about expression,
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Find the length of the other two sides isosceles right triangle
Answer:
x=5 and h=5*sqrt(2)
Step-by-step explanation:
It's an isosceles right triangle, x=5. Use Pythagoras and compute h
Cho f là hàm chẵn, g là hàm lẻ. Tính giá trị của (g∘f)(−4,7), biết g(5,9)=7,9 và f(4,7)=5,9.
Step-by-step explanation:
yah language mujhe samajh mein nahin a rahi hai kya karu aapki is bataiye
If ABCD is a rectangle, and m_ADB = 55°, what is the value of x? A. 80 O B. 90 O C. 40 O D. 70 O E. 110
===========================================================
Explanation:
Label a new point E at the intersection of the diagonals. The goal is to find angle CEB. Notice how angle AED and angle CEB are vertical angles, so angle AED is also x.
Recall that any rectangle has each diagonal that is the same length, and each diagonal cuts each other in half (aka bisect). This must mean segments DE and AE are the same length, and furthermore, triangle AED is isosceles.
Triangle AED being isosceles then tells us that the base angles ADE and DAE are the same measure (both being 55 in this case).
---------------------
To briefly summarize so far, we have these interior angles of triangle ADE
A = 55D = 55E = xFor any triangle, the three angles always add to 180, so,
A+D+E = 180
55+55+x = 180
110+x = 180
x = 180-110
x = 70
I will give brainly.
How do you determine if a slope is positive or negative?
You have to find the slope .
How?
Take 2points
(x1,y1)(x2,y2)Slope formula[tex]\\ \rm\Rrightarrow \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Step-by-step explanation:
What the Slope Means A positive slope means that two variables are positively related—that is, when x increases, so does y, and when x decreases, y also decreases. Graphically, a positive slope means that as a line on the line graph moves from left to right, the line rises.
there are 3 blouse and 2 pieces cloths for sale in the market. how many possible sets are there?
Answer:
Each item could be included in a set or not included. That gives 2^5 = 32 ways to choose sets, including 1 set with no items, 5 sets of 1 item, 10 sets of 2 items, 10 sets of 3 items, 5 sets of 4 items, and 1 set of 5 items.
Enter the ratio as a fraction in lowest terms
6 minutes to 30 minutes.
6 minutes / 30 minutes
Divide the top and bottom by 6.
1 minute / 5 minutes
Fraction in lowest terms: 1/5
Hope this helps!
Which graph is a function?
Answer:
B
Step-by-step explanation:
A function is a relation in which each input, x, has only one output, y.
There are two ways to determine if a relation is a function:
1. If each x-input has only one, unique y-output, then it's a function. If some x-inputs share the same y-outputs, it's not a function.
2. Vertical Line Test on Graphs:
To determine whether y is a function of x, when given a graph of relation, use the following criterion: if every vertical line you can draw goes though only 1 point, the relation can be a function. If you can draw a vertical line that goes though more than 1 point, the relation cannot be a function.
Since we're given a graph relation, let's test both of the answers out.
If I were to draw a vertical line in a specific place on the first graph, I'd be hitting more than one point in the coordinate plane.
If I were to draw a vertical line in a specific place on the second graph, I'd only be hitting one point in the coordinate plane.
Therefore, choice B is a function.
Your boss asked you to prepare a company party for 20 employees with a budget of Rs. 50, 000.00. You have a choice of ordering a dinner at Rs. 3, 000.00 (Package 01) from “X-Hut Restaurant” per person or a dinner at Rs. 2,500.00 (Package 02) per person from the same place (Delivery charges also included in the price of the meal). i. How many numbers (From package 01 & 02) can you order for the party by using up the budget? ii. How many numbers (From package 01 & 02) can you order for the party if the budget increases to Rs. 55, 000.00?
Step-by-step explanation:
........... ................
Enter the degree of the polynomial below.
6x + 9x + 3x – 4410 - 9x5 – 5x6
A. 9
B. 10
c. 6.
OD. 4
Answer:
the answer is d
Step-by-step explanation:
A plumber charges $65 for a diagnostic check. After the check, it is $85 per hour for the work. With $320 in your wallet, how many hours of Work can you afford?
Answer:
3 hours
Step-by-step explanation:
first, you subtract 65 from 320 to cover the diagnostic check.
Then, you subtract 85 from the remaining cash three times and you'll get 0
solve for x please help (show work)
Answer:
x = -1
Step-by-step explanation:
1/3(6x-3)+2(x-1) = -7
Distribute
2x-1 +2x-2 = -7
Combine like terms
4x -3 = -7
Add 3 to each side
4x-3+3 = -7+3
4x = -4
Divide by 4
4x/4 = -4/4
x = -1
[tex] \frak{ \frac{1}{3}(6x - 3) + 2(x - 1) = - 7}[/tex]
[tex]\twoheadrightarrow \frak{2x - 1 + 2x - 2 = - 7}[/tex]
[tex]\twoheadrightarrow \frak{4x - 3 = - 7}[/tex]
[tex] \twoheadrightarrow \frak{4x = - 7 + 3}[/tex]
[tex]\twoheadrightarrow \frak{4x = - 4}[/tex]
[tex]\star \: \underline{ \boxed{ \frak \green{{x = - 1}}}}[/tex]
find the equation of Straight line which passes through the point A(-5,10) makes equal intercept on both axes.
Answer:
y = -x + 5
Step-by-step explanation:
The point is in quadrant 2, so the line must pass through points that look like (a, 0) and (0, a) where a is a positive number. The slope of such a line is -1.
If (x, y) is a point on the line, then the slope between points (x, y) and (-5, 10) is 1, and you can write
[tex]\frac{y-10}{x-(-5)}=-1\\y-10 = -1(x+5)\\y-10=-x-5\\y=-x+5[/tex]
Write the point-slope form of the line passing through (2, -12) and perpendicular to y = 3x.
Answer:
y+12 = -1/3(x-2)
Step-by-step explanation:
y = 3x
The slope is 3
Lines perpendicular have a slope that is the negative reciprocal
-1/3 is the slope of a line that is perpendicular
Point slope form is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is the point on the line
y --12 = -1/3(x-2)
y+12 = -1/3(x-2)
If a, b, c are in A.P. show that
a (b + c)/bc,b(c + a) /ca, c(a-b )/bc
are in A.P.
Answer:
Step-by-step explanation:
[tex]\frac{a(b+c)}{bc} ,\frac{b(c+a)}{ca} ,\frac{c(a+b)}{ab} ~are~in~A.P.\\if~\frac{ab+ca}{bc} ,\frac{bc+ab}{ca} ,\frac{ca+bc}{ab} ~are~in~A.P.\\add~1~to~each~term\\if~\frac{ab+ca}{bc} +1,\frac{bc+ab}{ca} +1,\frac{ca+bc}{ab} +1~are~in~A.P.\\if~\frac{ab+ca+bc}{bc} ,\frac{bc+ab+ca}{ca} ,\frac{ca+bc+ab\\}{ab} ~are~in~A.P.\\\\divide~each~by~ab+bc+ca\\if~\frac{1}{bc} ,\frac{1}{ca} ,\frac{1}{ab} ~are ~in~A.P.\\if~\frac{a}{abc} ,\frac{b}{abc} ,\frac{c}{abc} ~are~in~A.P.\\if~a,b,c~are~in~A.P.\\which~is~true.[/tex]
A sailor on a trans-Pacific solo voyage notices one day that if he puts 625.mL of fresh water into a plastic cup weighing 25.0g, the cup floats in the seawater around his boat with the fresh water inside the cup at exactly the same level as the seawater outside the cup (see sketch at right).
Calculate the amount of salt dissolved in each liter of seawater. Be sure your answer has a unit symbol, if needed, and round it to 2 significant digits.
You'll need to know that the density of fresh water at the temperature of the sea around the sailor is 0.999/gcm3. You'll also want to remember Archimedes' Principle, that objects float when they displace a mass of water equal to their own mass.
Answer:
can you say again please
Find x
Please help ASAP!!!!
Answer:
The answer for x = 30
Step-by-step explanation:
because as you see we got a 60 and you see that lil squares in the corners that squares represent 90 degrees now subtract 60-90 is 30 or you can do it other way just get a paper and graph it
9514 1404 393
Answer:
x = (3/2)√2
Step-by-step explanation:
The ratio of side lengths of the isosceles right triangle is ...
1 : 1 : √2
That means the short side of that triangle will be 6/√2 = 3√2.
__
The lengths of the sides of a 30°-60°-90° triangle have the ratios ...
1 : √3 : 2
The long side is the short side of the isosceles right triangle, 3√2, and the short side of the 60° triangle is half that.
x = (3/2)√2
Let f(x) = e ^3x/5x − 2. Find f'(0).
Answer:
Step-by-step explanation:
Our friend asking what the actual function is has a point. I completed this under the assumption that what we have is:
[tex]f(x)=\frac{e^{3x}}{5x-2}[/tex] and used the quotient rule to find the derivative, as follows:
[tex]f'(x)=\frac{e^{3x}(5)-[(5x-2)(3e^{3x})]}{(5x-2)^2}[/tex] and simplifying a bit:
[tex]f'(x)=\frac{5e^{3x}-[15xe^{3x}-6e^{3x}]}{(5x-2)^2}[/tex]and a bit more to:
[tex]f'(x)=\frac{5e^{3x}-15xe^{3x}+6e^{3x}}{(5x-2)^2}[/tex] and combining like terms:
[tex]f'(x)=\frac{11e^{3x}-15xe^{3x}}{(5x-2)^2}[/tex] and factor out the GFC in the numerator to get:
[tex]f'(x)=\frac{e^{3x}(11-15x)}{(5x-2)^2}[/tex] That's the derivative simplified. If we want f'(0), we sub in 0's for the x's in there and get the value of the derivative at x = 0:
[tex]f'(0)=\frac{e^0(11-15(0))}{(5(0)-2)^2}[/tex] which simplifies to
[tex]f'(0)=\frac{11}{4}[/tex] which translates to
The slope of the function is 11/4 at the point (0, -1/2)
A study was conducted to determine whether magnets were effective in treating pain. The values represent measurements of pain using the visual analog scale. Assume that both samples are independent simple random samples from populations having normal distributions. Use a 0.05 significance level to test the claim that those given a sham treatment have pain reductions that vary more than the pain reductions for those treated with magnets.
Sham n= 20 x=0.41 s=1.37
Magnet n= 20 x =0.46 s= 0.94
Identify the test statistic. F=
Identify P-Value=
What is the conclution for the hypothesis test?
A. Fail to reject the null hypothesis. There is insufficient evidence to to support the claim that those given a sham treatment have reductions that vary more than those treated with magnets
B. Reject the null hypothesis. There is insufficient evidence to to support the claim that those given a sham treatment have reductions that vary more than those treated with magnets
C.Fail to reject the null hypothesis. There is sufficient evidence to to support the claim that those given a sham treatment have reductions that vary more than those treated with magnets
D.Reject the null hypothesis. There is sufficient evidence to to support the claim that those given a sham treatment have reductions that vary more than those treated with magnets
Answer:
F statistic = 2.124
Pvalue = 0.0546
A. Fail to reject the null hypothesis. There is insufficient evidence to to support the claim that those given a sham treatment have reductions that vary more than those treated with magnets
Step-by-step explanation:
H0 : pain reduction is the same
H1 : pain reduction is varies more with sham.
Sham n= 20 x=0.41 s=1.37
Magnet n= 20 x =0.46 s= 0.94
α - level = 0.05
Using the Ftest statistic
Ftest = larger sample variance / smaller sample variance
Ftest = s1² / s2² = 1.37² / 0.94² = 1.8769 / 0.8836 = 2.124
The degree of freedom :
Numerator = n - 1 = 20 - 1 = 19
Denominator = n - 1 = 20 - 1 = 19
Pvalue(2.124, 19, 19) = 0.0546
Since ;
Pvalue > α ; WE fail to reject the Null ; Result is not significant
34 Proportions
Mathematics, Pre-Algebra
Question 2
A boat can travel 21 miles on 7 gallons of gasoline. How far can it travel on 17 gallons?
Answer:
51 miles
Step-by-step explanation:
hope it's clear and understandable
:)
Find the length of side
x to the nearest tenth.
PLZZZ HELP
This is due in 15 mins
I need 5
But I already have 4
So one more
Answer:
The hottest month for the northern hemisphere is August.
The hottest month for the southern hemisphere is January and February (these top two might be the opposite)
It's globally warmer during the months of June July and August
During april and november, the southern hemisphere and northern hemisphere are the same, or very close.
During July and August the southern and northern hemispheres have the largest difference in temperature
Convert 653 in base 7 to base 10
If a over 2 equals b over 3 then b over a equals what?
Will mark brainliest
Plz solve on a paper or draw on the picture thx in advance
9514 1404 393
Answer:
the red angle has no specific value
Step-by-step explanation:
There is sufficient information here to specify all of the angles except the two unknown angles in the 70° (dark blue) triangle. Those two angles must total 110°, but that measure cannot be allocated between them based on the information in the diagram.
The attachments show that all of the given angle constraints can be met while the red angle may vary considerably. It can range through the interval (0°, 110°), but cannot be either of those end values.
HELP NEEDED PLEASE!!!!
Answer:
A
Step-by-step explanation:
The period is stretched by 30 and divided by pi, meaning that the wheel rotates does a full rotation every 60 seconds. But the most important part is vertical stretch of 47 and shift up of 52. At the peak it would be 99 since the peak is 47 with the stretch but add 52 from the shift and it would be 99.
A right cylinder has a radius of 3 and a height of 12. What is its surface area?
O A. 9077 units2
B. 72 units2
O C. 10877 units
D. 457 units2
Answer:
Option A, [tex]90\pi[/tex] [tex]units^{2}[/tex], is correct.
Step-by-step explanation:
The formula for the surface area of a cylinder is as follows:
A= [tex]2\pi rh+2\pi r^{2}[/tex]
We know that the radius, r, is 3, and the height, h, is 12.
r=3
h=12
Pi will be rounded to 3.14.
Thus, applying the known values to the formula:
A=[tex]2(3.14)(3)(12)+2(3.14)(3)^{2}[/tex]
A=226.08+56.52
A=282.6 [tex]units^{2}[/tex]
In accord with the given options, we must determine which one has a product of around 282.6:
A. [tex]90\pi =282.7433388[/tex]
B.[tex]72\pi =226.1946711[/tex]
C.[tex]108\pi =339.2920066[/tex]
D.[tex]45\pi =141.3716694[/tex]
Therefore, option A, [tex]90\pi units^{2}[/tex], is correct.
