Answer: 30 degrees
Step-by-step explanation:
1 hour = 60 min = 360 degree
1 min = 360/60 degree
1 min = 6 degree
and the gap of hour hand and minute hand at 1pm, is of 5 min
therefore acute angle formed is 5 X 6 = 30 degrees.
:-)
Answer:
30 degrees
Step-by-step explanation:
1 hour = 60 min = 360 degree
1 min = 360/60 degree
1 min = 6 degree
and the gap of hour hand and minute hand at 1pm, is of 5 min
therefore acute angle formed is 5 X 6 = 30 degrees.
Select the correct answer.
Solve – 93-(-103)
OA.
-13
11
OB.
Oc. 1917
D. 19 /
Answer:
1 1/7.
Step-by-step explanation:
-9 2/7 - (-10 3/7)
= -9 2/7 + 10 3/7
= - 9 + 10 - 2/7 + 3/7
= 1 + 1/7
= 1 1/7.
Answer:
[tex] \huge \boxed{ \bold{ \purple{1 \frac{1}{7} }}}[/tex]Option B is the correct option
Step-by-step explanation:
[tex] \mathsf{ - 9 \frac{2}{7} - ( - 10 \frac{3}{7}) }[/tex]
First thing we have to do is that convert the mixed number into improper fraction .
[tex] \blue{ \mathsf{how \: to \: convert \: \: the \: improper \: fraction \: to \: mixed \: number}}[/tex]
Follow the steps:
Multiply denominator by the whole number.Add the answer from step 1 to the numerator.Put step 2 answer over the denominatorNow, let's do it!
[tex] \mathsf{ - \frac{ 9 \times7 + 2 }{7} - ( - 10 \frac{3}{7} )}[/tex]
⇒[tex] \mathsf{ - \frac{65}{7} - ( - 10 \frac{3}{7} )}[/tex]
When there is a ( - ) in front of an expression in the
parentheses , change the sign of each term in the expression
⇒[tex] \mathsf{ - \frac{65}{7} + 10 \frac{3}{7} }[/tex]
Convert mixed number into improper fraction
⇒[tex] \mathsf{ - \frac{65}{7} + \frac{73}{7} }[/tex]
While performing the addition and subtraction of like fractions , you just have to add or subtract the numbers for respectively in which the denominator is retained same
⇒[tex] \mathsf{ \frac{ - 65 + 73}{7} }[/tex]
Calculate
⇒[tex] \mathsf{ \frac{8}{7} }[/tex]
Convert the improper fraction into mixed fraction.
( Since 8 is being divided by 7 , I am gonna use long division )
( See attached picture )
⇒[tex] \mathsf{1 \frac{1}{7} }[/tex]
Hope I helped!
Best regards!!
Which number line represents the solution to the inequality 125x + 200 > 1,200?
9
A Att
-10
-8 -6
-4
--2
0
2
4
6
8
10
B
-10
-8
-6
-4
-2
0
2
4
+ ++
6 8 10
с
AHHH
-10 -8 -6
-4
-2
o
2
4
6
8
10
D
-10
-8
-6
-4
-2 0
2
4
6
8
10
Answer:
see below
Step-by-step explanation:
25x + 200 > 1,200
Subtract 200 from each side
25x + 200-200 > 1,200-200
25x> 1000
Divide by 25
25x/25 >1000/25
x>40
Suppose that four students, Stephanie, Charles, Tim, and Rachel, are all preparing to take standardized exam that contains three subjects, math, reading, and science. Four tutors are available to help the students prepare for the exam. Each tutor is able to help in any of the three subjects. How many different ways can the students, tutors, and subjects be uniquely combined?
Answer:
48 different ways
Step-by-step explanation:
To solve this question, we use the Fundamental Counting Principle technique.
Fundamental Counting Principle can be defined as the way by which we determine the possibility or the number of possible outcomes for an event.
If we have event X and event Y and event Z, then the number of possible outcomes = X × Y × Z
For the above question, we have 3 events
Event 1 : 4 students ( Stephanie, Charles, Tim, and Rachel)
Event 2: 3 subjects ( Math, Reading, And Science)
Event 3 : 4 tutors.
Therefore,the many different ways can the students, tutors, and subjects can be be uniquely combined is:
= 4 × 3 × 4
= 48 different ways
Find the values of x and y if (-x + 5, 1) = (-y, 2x - 5y).
Answer:
x = 8, y = 3
Step-by-step explanation:
Equating corresponding x and y coordinates , then
- y = - x + 5 ( multiply through by - 1 )
y = x - 5 → (1)
2x - 5y = 1 → (2)
Substitute y = x - 5 into (2)
2x - 5(x - 5) = 1 ← distribute and simplify left side
2x - 5x + 25 = 1
- 3x + 25 = 1 ( subtract 25 from both sides )
- 3x = - 24 ( divide both sides by - 3 )
x = 8
Substitute x = 8 into (1) for corresponding value of y
y = 8 - 5 = 3
...................................................
Answer:
11.21157846 =x
Step-by-step explanation:
We know log b (a) = c can be written as b^c =a
log 3 (x) = 2.2
3^2.2 = x
11.21157846 =x
Answer:
[tex]\large \boxed{\sf \bold{A.} \ x=11.21}[/tex]
Step-by-step explanation:
[tex]\large \sf log_3 (x)=2.2[/tex]
Solve this by converting the logarithmic statement into its equivalent exponential form, using the relationship:
[tex]\large \sf log_b(y)=x[/tex]
[tex]\large{\sf y=b^x}[/tex]
Apply the relationship.
[tex]\large \sf log_3 (x)=2.2[/tex]
[tex]\large \sf x=3^{2.2}[/tex]
[tex]\large \sf x=11.21157845...[/tex]
[tex]\large \sf x \approx 11.21[/tex]
Is this correct??? Will give Brainlyist
how many cars the baseball team needs to wash before it starts making a profit. The team spent $75 setting up the car wash, and they are charging $5 per car for a wa The first step in modeling this situation is to track how much money the baseball team will take in. Write an equation to represent the amount of money collected in dollars, y, in terms of the number of cars washed, x. Ignore the setup cost.
Answer:
y = 5x
Step-by-step explanation:
The revenue (y) is 5 dollars for each car washed. The number of cars washed is x, so the revenue equation is ...
y = 5x
_____
Additional comment
At the end of the exercise of writing revenue and cost and profit equations, you will find that the break-even number of cars is the ratio of fixed cost (start-up cost in this case) to the profit contribution of each car (per-car charge in this case). That is, it will take 75/5 = 15 cars to break even. Each additional car will contribute a positive profit.
Answer:
Equation INCLUDING the setup cost: y = 5x - 75
Equation EXCLUDING the setup cost: y = 5x
Step-by-step explanation:
It spent a total of $75 to set up the car wash.
It is charging $5 per car.
y = amount collected in $
x = number of cars washed
=> We can make an equation INCLUDING the setup cost and EXCLUDING the setup cost.
=> INCLUDING the setup cost.
=> y = 5x - 75
=> I subtracted 75 from 5x because they spent a total of $75 to set up the car wash.
=> I wrote 5x because they get $5 for each car so if they wash 10 cars they get 5 * 10 = $50.
An EXAMPLE from the above equation:
y = 5x -75
=> y = 5*14 - 75
=> y = 70 - 75
=> y = -5
=> This means that if they wash 14 cars, they still have a debt of 5 dollars.
An equation EXCLUDING the setup cost will look like:
=> y = 5x
I wrote this because, they didn't spend any money so they will get 5 dollars per car. How many cars they wash, the answer will be 'number of cars x 5'.
An EXAMPLE from the above equation is:
=> y = 5x
=> y = 5 * 14
=> y = $70
=> This means that if they wash 14 cars, they get $70.
Two families go to a shake shack. The Johnsons order four fires and six cheeseburgers for $52. The Liauttads order three fries and two cheeseburgers and pay $24. How much is a cheeseburger?
Show work please! :)
4 fries + 6 cheeseburgers = $52
3 fries + 2 cheeseburgers = $24
9 fries + 6 cheeseburgers = $24×3
= $72
$72-$52=$20
5 fries = $20
1 fries = $20÷5
= $4
1 cheeseburger = [$24 - (3×$4)]÷2
= $6
The sum of two numbers is 52. One number is 3 times as large as the other. What are the numbers?
Answer:
13 and 39
Step-by-step explanation:
The sum of two numbers = 52
One number is 3 times as large as the other
Equation:
x + 3x = 52
4x = 52
52 / 4 = x
x = 13
13 * 3 = 39
The numbers are 13 and 39
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
HCF of algebraic expression x square minus y square and x y minus y square.
Answer:
(x-y+z)(x-y-z)
Given (x²-2xy+y²) - z²
= (x-y)² - z²
/* By algebraic identity
a²-2ab+b² = (a-b)² */
=[(x-y)+z][(x-y)-z]
/* a²-b² = (a+b)(a-b) */
= (x-y+z)(x-y-z)
Therefore,
(x²-2xy+y²)-z² =(x-y+z)(x-y-z)
Step-by-step explanation:
x
2
y
2
=x×x×y×y
xy
2
=x×y×y
h.c.f=xy
2
the 15 chihuahua puppies ate 63 cups of food last week if each puppy ate the same amount of food how many cups of puppy food did each puppy eat
Answer:4.2 cups
Step-by-step explanation:
Just do 63 cups, divided by the 15 puppies which equals 4.2 cups! pls mark brainliest
Answer:
4.2 cups
Step-by-step explanation:
I am in the assiment and i just got it right on the assiment
Solve the equation for all values of x.
- 2x(x − 8)(10x + 1) = 0
From deltamath.com
Answer:
x=0 x=8 x = -1/10
Step-by-step explanation:
- 2x(x − 8)(10x + 1) = 0
Using the zero product property
-2x =0 x-8 = 0 10x+1= 0
x= 0 x= 8 10x = -1
x=0 x=8 x = -1/10
Your skateboard ramp is 2 3/8 feet high. Your friend's skateboard is 2 2/5 feet high. which skateboard is higher?
Answer:
2-3/8 = 2.375
2-2/5 = 2.4
2.4 - 2.375 = 0.025
Your friend's skateboard ramp is 0.025 foot higher
than your skateboard ramp is.
That's about 1.1% higher . . . 0.3 inch, or about 7.62 milometers.
Pls answer this urgently
Answer:
The pic there has a step by step explanation
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]\frac{(3^-2)^2 * (5^2)^-3 * ( t ^-3)^2 }{( 3^-2) ^5 ( 5^3) ^-2 ( t ^-4)^3}[/tex]
[tex]= \frac{\frac{1}{1265625^t12} }{1}[/tex]
[tex]= \frac{\frac{1}{992640625^t6} }{1}[/tex]
[tex]= \frac{992640625^t6}{1265625}[/tex]
[tex]= \frac{922640625tttttt}{1265625}[/tex]
[tex]= 729t^6[/tex]
Answer : [tex]729t^6[/tex]
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●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
If this helped you, could you maybe give brainliest..?
❀*May*❀
Find the coordinates of the midpoint of the segment given its endpoints.
3. A (5, 8 ) and B(-1,-4)
Answer:
(2, 2 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ) , [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]
Here (x₁, y₁ ) = (A(5, 8) and (x₂, y₂ ) = B(- 1, - 4) , thus
midpoint = [ [tex]\frac{1}{2}[/tex] (5 - 1), [tex]\frac{1}{2}[/tex] (8 - 4 ) ] = (2, 2 )
Use the following prompt to answer the next 6 questions. Suppose we want to test the color distribution claim on the M&M’s website that a bag of plain M&M’s is made up of 10% blue, 10% orange, 10% green, 20% red, 20% yellow, and 30% brown. We select a sample of 400 plain M&M’s and found the following: Color Blue Orange Green Red Yellow Brown Frequency 30 48 55 66 70 131 Is there evidence to doubt the color distribution claimed by the website? Use ????=0.05
Answer:
The claim on the M&M’s website is not true.
Step-by-step explanation:
A Chi-square test for goodness of fit will be used in this case.
The hypothesis can be defined as:
H₀: The observed frequencies are same as the expected frequencies.
Hₐ: The observed frequencies are not same as the expected frequencies.
The test statistic is given as follows:
[tex]\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}[/tex]
Here,
[tex]O_{i}[/tex] = Observed frequencies
[tex]E_{i}=N\times p_{i}[/tex] = Expected frequency.
The chi-square test statistic value is, 14.433.
The degrees of freedom is:
df = k - 1 = 6 - 1 = 5
Compute the p-value as follows:
[tex]p-value=P(\chi^{2}_{k-1} >14.433) =P(\chi^{2}_{5} >14.433) =0.013[/tex]
*Use a Chi-square table.
The significance level is, α = 0.05.
p-value = 0.013 < α = 0.05.
So, the null hypothesis will be rejected at 5% significance level.
Thus, concluding that the claim on the M&M’s website is not true.
A rectangle has a length of 12 m and a width of 400 cm. What is the perimeter of the rectangle?
Answer:
Perimeter = 32 meters
Step-by-step explanation:
1 meter = 1m = 100 cm = 100 centimeters
400cm = 400/100 = 4 meters
Rectangle Perimeter = 2(legth + width)
= 2(12 + 4)
= 2*16
= 32 meters
Find the gradient, picture below
Answer:
[tex]\frac{dy}{dx} = \frac{13}{8} [/tex]
Step-by-step explanation:
[tex] y = 2x + 6 {x}^{ - \frac{1}{2} } \\ \frac{dy}{dx} = 2 + 6( - \frac{1}{2}) {x}^{ - \frac{1}{2} - 1 } \\ \frac{dy}{dx} = 2 - 3 {x}^{ - \frac{3}{2} } \\ \frac{dy}{dx} = 2 - \frac{3}{ \sqrt{ {x}^{3} } } [/tex]
When x = 4,
[tex]\frac{dy}{dx} = 2 - \frac{3}{ \sqrt{ {4}^{3} } } \\ = \frac{13}{8} [/tex]
Answer:
Hello,
Answer 13/8
Step-by-step explanation:
[tex]y=2x+\dfrac{3}{\sqrt{x} } \\\\y'=2+6*\dfrac{-1}{2} x^{\frac{-3}{2} }\\\\y'=3-\frac{3}{\sqrt{x^3}} \\\\\\For x=4, \\\\y'(4)=2-\dfrac{3}{8} =\dfrac{13}{8}[/tex]
Simplify.
Remove all perfect squares from inside the square root.
V63 =
I need the answer ASAP can anyone help?
3*sqrt(7)
3 times the square root of 7
====================================================
Explanation:
I'm assuming the V stands for square root. You can write sqrt(63).
[tex]\sqrt{63} = \sqrt{9*7}\\\\\sqrt{63} = \sqrt{9}*\sqrt{7}\\\\\sqrt{63} = 3\sqrt{7}[/tex]
The idea is to factor 63 in such a way that one factor is the largest perfect square possible, that way we can pull the root apart to simplify as shown above. The rule I used for the second step is [tex]\sqrt{x*y} = \sqrt{x}*\sqrt{y}[/tex]
3x^2+5x^2+3x+1=(3x-1)(x^2+A)+B
Answer: If the question is to solve for A: A= [tex]\frac{15x+1-B}{3x-1}[/tex]
If the question is to solve for B: B= 15x+1-3xA+A
Step-by-step explanation:
A: Move terms to the left.
B: Simplify both sides.
Answer:
a=8x^2+3x+1-b/3x-1 -x^2; xdoes not equal 1/3
Step-by-step explanation:
hope this helps
plz help asap i only have limited time i will give brainliest
Answer:
The answer is none.
Step-by-step explanation:
BecauseSide of the square is greater than breadth of rectangle. Answer: How can this be possible? Side of any square cannot be more than breadth of rectangle unless and until the square is bigger than the rectangle.Side of the square can be greater than length of triangle: Answer: Not at all possible. How can the length of a square be greater than the length of a rectangle? then the square would no longer have the same sides. And as i said before, squares cant be long unless and until they are bigger than the rectangle.Hope this helps....
Have a nice day!!!!
Hello if anyone is able to answer this please do I am not sure how to figure out the answer to this?????
Question-80% as a fraction
Answer:
[tex]\frac{80}{100}[/tex]
Step-by-step explanation:
All percentages are out of 100. Therefore, 80% is equal to [tex]\frac{80}{100}[/tex]. It can also be simplified to [tex]\frac{8}{10}[/tex] or [tex]\frac{4}{5}[/tex].
Question 12
What is the value of x in the following equation?
2/3x + 2 = 4
Which models show 60%? Check all that apply.
Answer:
OPTION A AND B.
AS OPTION A IS 3/5=6/10=60%
Option C=60/100=60%
Answer:
the first and the last option
Step-by-step explanation:
In the first option 3/5 of the rectangle are filled in. if you divide 3 by 5, you will get 0.6, which when converted in to percent is equal to 60%
3/5 = 0.6
0.6 = 60%
*to convert decimals into percent, you just have to move the decimal point 2 places to the right and add the present sign*
in the second option 5 out of the 10 rectangles inside the square are filled in. that means that 5/10 of the square are filled in, the model shows 50%
5/10 = 1/2 = 0.5 = 50%
in the third model 6 out of the 10 rows in the square are filled in. that means that 6/10 of the square are filled in which is equal to 60%
6/10 = 0.6 = 60%
hope this helps! if you have any questions, let me know!
Which statement describes the graph of x = 4
Answer:
The graph of x=4 is a vertical line parallel to y-axis and having a x-intecept:(4,0) and having no y-intercept
Step-by-step explanation:
So I think that the answer would be this, which means answer 1!! Hope this helps
The second on a watch is 14mm long. What area does it sweep through in 30 seconds
Exact Area = 98pi
Approximate Area = 307.8760800518 (use calculator stored version of pi)
Approximate Area = 307.72 (using pi = 3.14)
Units are in square millimeters
======================================================
Explanation:
In 60 seconds, the hand sweeps out a full circle of radius 14. The area of this circle is
A = pi*r^2 = pi*14^2 = 196pi
Half of this is what the hand sweeps out in 30 seconds, so A/2 = (196pi)/2 = 98pi is the exact area it sweeps out. Your calculator would then show 98pi = 307.8760800518 approximately
If instead you use pi = 3.14, then the approximate area is 98*3.14 = 307.72
Which regular polygon can be used to form a tessellation?
I need help
Answer:
The regular polygon that can be used to form a regular tessellation are the equilateral triangle a square and a regular hexagon
Rita bought 4 CDs that were each the same price. Including sales tax, she paid a total of $ 61.60. Of that total,$ 2.80 was tax. What was the price of each CD before tax
Answer:
The price of each CD is:
$14.70
Step-by-step explanation:
(61.6 - 2.8) /4
= 58.8/4
= $14.7
Answer:
$14.70
Step-by-step explanation:
We want to find the price of each CD before tax. Therefore, we must first subtract the tax from the total.
total -tax
The total cost was $61.60 and the tax was $2.80
$61.60 - $2.80
$58.80
The price for the 4 CDs (without tax) was $58.50.
We know that each CD costs the same price and Rita bought four CDs. Therefore, we can divide the cost without tax by 4.
cost without tax / 4
The cost without tax is $58.80
$58.80 /4
$14.70
Each CD before tax costs $14.70
which answer is right?
Answer:
i think A
Step-by-step explanation:
Ella bought a 2 bedroom unit 12 years ago for $95 000 and recently sold it for $280 000 (after deducting selling costs).
a) Find the profit.
b) Find the profit as a percentage of the buying price.
c) Find the profit as a percentage of the selling price.
d) Which percentage profit sounds better as far as Ella is concerned?
pls explain, thanks!!!!
C.P. = $95000
S.P. = $280000
a. Profit
= S.P. - C.P.
= $280000 - $95000
= $185000
b. Let the profit% of C.P. be x.
(x/100) × $95000 = $185000
=> x/100 = $185000/$95000
=> x/100 = 37/19
=> x = (37/19) × 100
=> x = 3700/19
=> x = 194 14/19
So, profit percent of buying price is 194 14/19%.
c. Let the profit% of S.P. be x.
(x/100) × $280000 = $185000
=> x/100 = $185000/$280000
=> x/100 = 37/56
=> x = (37/56) × 100
=> x = 3700/56
=> x = 925/14
=> x = 16 1/14
So, profit percent of selling price is 16 1/14%.
d. Buying price percentage profit sounds better as far as Ella is concerned.