Answer:
Step-by-step explanation:
Depends on how many problems his quiz contains and how many problems he answered correctly.
47/14 in decimal rounded to the nearest hundredth
47 / 14 ≈ 3.36
Firstly, let's covert the fraction 47 / 14 to a decimal. The decimal format of 47 / 14 will be
47 / 14 = 3.35714285714Finally, let's approximate the decimal to the nearest hundredth
3.35714285714 ≈ 3.36Always remember to use the approximate symbol when you approximate an answer.
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Final answer:
To round 47/14 to the nearest hundredth as a decimal, divide 47 by 14 to get 3.3571..., and then round this to 3.36 since the third decimal place is 7.
Explanation:
To convert the fraction 47/14 to a decimal rounded to the nearest hundredth, you first divide 47 by 14. This gives you the decimal form. After obtaining the decimal, you look at the third decimal place. If it's 5 or more, you round the second decimal place up. If it's less than 5, you leave the second decimal place as is.
Dividing 47 by 14 gives us 3.3571... To round it to the nearest hundredth, we look at the third decimal place, which is a 7, so we round up the second decimal place from 5 to 6, thus the answer is 3.36.
How many ways can we choose a 5 digit code out of 10 digits (includes ) if no numbers can be repeated?
y = -1/4x + 2 and 2y = 1/2x - 4
how do these lines compare?
Answer:
the line 1 has negative slope of -1/4 and line 2 has positive slope of 1/4.
Step-by-step explanation:
let the line 1 be y = -1/4x + 2 and line 2 be 2y = 1/2x - 4
these lines are in the form of y = mx + c
where m is the slope of the line and c is the intercept made with y axis.
dividing the line 2 by 2 we get [tex]y = \frac{1}{4}x -2[/tex]
line 1 meets x axis when y = 0 applying y = 0 in equation 1 we get x = 8
line 2 meets x axis when y=0 applying y = 0 in equation 2 we get x = 8
line 1 meets y axis when x = 0 applying x= 0in equation 1 we get y = 2
line 2 meets y axis when x = 0 applying x= 0in equation 2 we get y = -2
therefore line 1 passes through (8,0)and (0,2) with negative slope of -1/4
and line 2 passes through (8,0) and (0,-2) with positive slope of 1/4.
Katie Made a scale drawing of a restaurant in real life the restaurant kitchen is 12 m wide it is 36 mm wide in the drawing what scale katie use for the drawing?
Answer:
Scale : 1 mm = [tex]\frac{1}{3}\ m[/tex]
Or
Scale : 3 mm = 1 m
Step-by-step explanation:
Let the scale used be 1 mm = 'x' m
Given:
Actual width of kitchen is 12 m.
Length used by Kate in drawing is 36 mm.
So, 36 mm in drawing is equivalent to 12 m in actual.
Therefore, 1 mm in drawing is equivalent to 'x' m in actual.
Taking proportions and solving by cross multiplication, we get
[tex]\frac{36}{12}=\frac{1}{x}\\36x=12\\x=\frac{12}{36}\\x=\frac{1}{3}\ m[/tex]
Therefore, 1 mm in drawing is equal to [tex]\frac{1}{3}\ m[/tex] in actual.
Scale : 1 mm = [tex]\frac{1}{3}\ m[/tex]
Or
Scale : 3 mm = 1 m
1 What is the length of carpet for carpeting the
floor of 45 m long square room with 9 m width carpet?if
cost of the carpet per meter is Rs. 225, find the total cost
of carpeting the room
Answer:
The length of the carpet = l = 5 meter
The cost of carpeting the room is Rs 6300 .
Step-by-step explanation:
Given as :
The area of the room = 45 m²
The width of the carpet = w = 9 m
Let The length of the carpet = l meter
The cost of the carpet per meter = Rs 225
Let The cost of carpeting the room = Rs x
Now, According to question
The Area of room = length × breadth
Or, 45 m² = l m × b m
Or, 45 m² = l m × 9 m
∴ l = [tex]\dfrac{45}{9}[/tex]
i.e l = 5 m
So, The length of the carpet = l = 5 meter
Again
Perimeter of carpet = 2 × length + 2 × width
Or, Perimeter of carpet = 2 × 5 m + 2 × 9 m
Or, Perimeter of carpet = 28 meters
∵ The cost of carpet per meter = Rs 225
∴ The cost of carpeting the room = Rs 225 × 28
i.e The cost of carpeting the room = Rs 6300
Hence, The length of the carpet = l = 5 meter and The cost of carpeting the room is Rs 6300 . Answer
Triangles and angle bisectors? Can somebody please help me find x & y ?
Answer:
x = 12
y = 5
Step-by-step explanation:
a triangle's side is divided by an angle bisector that bisects the opposite angle. Their relative lengths equals to the relative lengths of the other two sides of the triangle
x / 8 = 9 / 6
x = 9/6 * 8 = 12
(y-3) / 3 = 4 / 6
y - 3 = 4/6 * 3 = 2
y = 5
One angle of a right triangle measures 20°. What is the measure of the other acute angle?
Answer:
Step-by-step explanation:
Sum all the angles of triangle = 180
One angle is 90 as it is a right angle.Take the unknown angle as X.
90 + 20 + x = 180
110 + x = 180
x = 180 - 110
x = 70
Please help, giving brainliest!
Continue the sequence:
1, 3, 7, 15, 31, 63, __
Answer:
127, 255 are the next 2 terms.
Step-by-step explanation:
The difference in terms are 2,4,8,16,32 and so on.
William runs at a constant speed of 8 miles per hour. Running at this constant speed, it takes William 75 seconds to run from his house to school. How many miles did William run?
The number of miles William run from his house to school is 0.167 miles
How to find distance?Number of miles run per hour = 8 mileslet
x = number of miles run in 75 seconds
Ratio of miles to time
8 miles : 3600 seconds = x miles : 75 seconds
8/3600 = x/75
8 × 75 = 3600 × x
600 = 3600x
x = 600/3600
x = 0.167 milesLearn more about distance:
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Rita is hiking along a trail that is 13.8 miles long. So far she has hiked along one-tenth of the trail.
How far has Rita hiked?
Rita has hiked
miles.
Rita has hiked 1.38 miles so far.
Step-by-step explanation:
Given,
Total length of the hiking trail = 13.8 miles
Distance covered by Rita so far = [tex]\frac{1}{10}\ of\ the\ trail[/tex]
Distance covered in miles = [tex]\frac{1}{10}*13.8[/tex]
Distance covered in miles = 1.38 miles
Rita has hiked 1.38 miles so far.
Keywords: fraction, division
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How do you solve 1/3x20
Answer:
20/3
Step-by-step explanation:
2
2
+
0
.
5
0
x
=
3
7
+
0
.
3
5
x
2
2
+
0
.
5
0
x
=
3
7
+
0
.
3
5
x
Solving for x...
22+0.50x=37+0.35x
22+0.15x=37
0.15x=15
x=100
A radio dealer makes a radio with the price 20% above the cost price and allows 10% discount on it. Find his gain percent
Answer:
10%
Step-by-step explanation:
Good morning,
Answer:
8%Step-by-step explanation:
Let x be the cost price and
y the final sell price
p gain percent
the gain precent p = (20/100)-(10/100)-[(20×10)/(100×100)]
= (20-10)/100 - 2/100
= 10/100 - 2/100
= 8/100
example : x=20
x(1+20/100)(1-10/100) = 20(1+20/100)(1-10/100) = 20(120/100×90/100)
= 20(10 800÷10 000)
= 21.6
20+20p% =21.6 then 20p%=1.6 then p%=1.6/20=16/200=8/100 then p=8.
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Selena is standing on a rock cliff that is 52 feet high. She tosses a pebble upward over the edge, where it hits the top of a 12 foot high boulder. The quadratic equation that models the path of the pebble is given below. How long did it take for the pebble to hit the top of the boulder? p(t)=-16t^2+12t+52
Answer: At [tex]t=\dfrac{3}{8}[/tex], the pebble hit the top of the boulder.
Step-by-step explanation:
Since we have given that
Distance at which Selena is standing on a rock cliff = 52 feet
Height of boulder above a rock cliff = 12 foot
So, the given quadratic equation would be
[tex]p(t)=-16t^2+12t+52[/tex]
First we derivative it w.r.t t,
[tex]p'(t)=-32t+12[/tex]
Now, we will find the critical value,
[tex]-32t+12=0\\\\-32t=-12\\\\t=\dfrac{12}{32}=\dfrac{6}{16}=\dfrac{3}{8}[/tex]
Now, we will check whether it is maximum or not.
[tex]p''(t)=-32<0[/tex]
So, we get that it is maximum.
Hence, at [tex]t=\dfrac{3}{8}[/tex], the pebble hit the top of the boulder.
Answer:
The answer is t=3/8
whats the odd number?
Answer:
An odd number is an integer which is not a multiple of two; A number that when divided by two, leaves a remainder. If it is divided by two the result is a fraction. One is the first odd positive number. ... Some sequential odd numbers are: {1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35}, and so on.
Step-by-step explanation:
Answer:
I cant see the numbers, but I will tell you the definiton of an odd number:
An odd number is a number that leaves a remainder or a fraction when divided by 2.
2x=(360÷4) solve for x.
Answer:
Step-by-step explanation:
2x=(360÷4)
2x = 90
Dividing by 2
x = 90/2
x = 45
By following the steps of simplifying, isolating, and solving for x, we find that x = 45 is the value that satisfies the given equation.
To solve the equation 2x = (360 ÷ 4) for x, we need to isolate x on one side of the equation. Follow these steps to find the value of x:
Step 1: Simplify the expression on the right side of the equation.
360 ÷ 4 = 90
Step 2: Replace the right side of the equation with its simplified value.
2x = 90
Step 3: To isolate x, divide both sides of the equation by 2.
(2x) ÷ 2 = 90 ÷ 2
This simplifies to:
x = 45
The solution to the equation is x = 45. To verify, you can substitute x = 45 back into the original equation:
2(45) = 90
90 = 90
Since both sides of the equation are equal, x = 45 is indeed the correct solution.
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Let f(x) = 5x3 + 3x2 – 3 and g(x) = x2 + X - 5, fin
4) f(x) + g(x)
Answer:
[tex]f(x)+g(x)=5x^{3} +4x^{2}+x-8[/tex]
Step-by-step explanation:
Given:
Two functions are given:
[tex]f(x)=5x^{3} +3x^{2} -3[/tex]
[tex]g(x)=x^{2} +x-5[/tex]
Find [tex]f(x)+g(x)[/tex]
Solution:
[tex]f(x)+g(x)=(5x^{3} +3x^{2} -3)+(x^{2} +x-5)[/tex]
[tex]f(x)+g(x)=5x^{3} +3x^{2} -3+x^{2} +x-5[/tex]
[tex]f(x)+g(x)=5x^{3} +(3x^{2} +x^{2})+x-3-5[/tex]
[tex]f(x)+g(x)=5x^{3} +4x^{2}+x-8[/tex]
Therefore, the function of [tex]f(x)+g(x)=5x^{3} +4x^{2}+x-8[/tex]
(f-g)(x)
f(x)= 1/x+2
g(x)= 3x
Answer:
f(x) - g(x) = (1/x) + 2 - 3x or (f - g)(x)
Step-by-step explanation:
f(x) = 1/x+2
-g(x) = 3x
can be summarized on line line as:
f(x) - g(x) = (1/x) + 2 - 3x or (f - g)(x)
how to use the rational root theorem
Here are the steps:
1. Arrange the polynomial in descending order.
2. Write down all the factors of the constant term. These are all the possible values of p.
3. Write down all the factors of the leading coefficient. ...
4. Write down all the possible values of . ...
5. Use synthetic division to determine the values of for which P( ) = 0.
Answer:
Step-by-step explanation:
Arrange the polynomial in descending order.
Write down all the factors of the constant term. These are all the possible values of p.
Write down all the factors of the leading coefficient.
Sofia's parents gave her an allowance for summer camp of $125.if she is going to be at camp for 6 weeks,what is the most she can spend each week while she is at camp? Inequality
Sofia can spend at most $20.83 each week.
Step-by-step explanation:
Given,
Amount of given by Sofia's parent = $125
Number of weeks = 6
Let,
x represent the amount that Sofia can spend each week.
As Sofia has $125, therefore, she can spend maximum $125 or less than that.
[tex]6x\leq 125[/tex]
Dividing both sides by 6
[tex]\frac{6x}{6}\leq \frac{125}{6}\\x\leq 20.83[/tex]
Sofia can spend at most $20.83 each week.
Keywords: inequality, division
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Mr Logan needs to buy snacks for his daughter soccer team. He decides to buy crackers and granola bars at a local store. The price of the crackers is $9 for 3 boxes, and the price of the granola bars is $6 for 3 boxes. Mr Logan ends up buying $20 worth of crackers and granola bars. Which equation represents the relationship between the number of boxes of crackers, x, and the number of boxes of granola bars, y, that Mr Logan bought at the grocery store.
Answer:
20 = 3x+2y
Step-by-step explanation:
one box of crackers is $3 (3x)
one box of granola bars is $2 (2y)
A researcher conducted a study investigating the effect of computer screen time on a person’s amount of REM sleep. The researcher randomly assigned 100 people into four groups. The first group was given 2 hours of computer screen time each day, the second group was given 4 hours each day, the third group was given 6 hours each day, and the fourth group was given 8 hours each day. The study was conducted for one week, and the amount of REM sleep for each person was measured. What is the explanatory variable in the study?
Answer:
Amount of screen time
Step-by-step explanation:
Explanatory variables are those variables that are not totally independent and are used to predict or explain differences in the response variable.
Having pointed what an explanatory variable is, we'll list the explanatory variable(s) in the question, using the definition above.
The Variable used to predict results here is the amount of screen time.
In that case, it is the explanatory variable.
And it's of numerical type.
In the described study, the explanatory or independent variable is the amount of computer screen time each day, as it is the variable that is being manipulated by the researcher in order to examine its effect on REM sleep.
Explanation:In this particular research study, the explanatory variable, or the independent variable, is the amount of computer screen time each day. This is because the explanatory variable is the factor manipulated by the researcher to observe any potential effects on the outcome variable, which in this case, is the amount of REM sleep.
The participants were divided into four different groups, each exposed to a different amount of screen time: 2 hours, 4 hours, 6 hours, and 8 hours. These varying hours of exposure were purposely manipulated by the researcher to observe and measure any differences in the REM sleep duration. Therefore, the computer screen time is the explanatory variable or cause, and the observed alterations to the REM sleep will be the response, or the dependent variable.
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Find the vertex of the graph of the function.
f(x) = 2x2 - 8x + 9
Answer:
(2, 1).
Step-by-step explanation:
f(x)=2x^2-8x+9
Find -b/2a first, it's -(-8)/2(2)=8/4=2.
Then find the y-coordinate of the vertex.
2(2)^2-8(2)+9=2(4)-16+9=8-16+9=-8+9=1
Find the zero(s) of the following functions algebraically: f(x)=3x-21
Answer:
x=7
Step-by-step explanation:
The function is:
f(x)=3x-21.
The zero(s) is/are any value(s) that make(s) the function equal(s) to zero.
This implies that, to find the zero(s), we equate the function to 0 and solve for x
This implies that:
3x-21=0
3x=21
Dividing through by 3, we obtain
x=7
Express the ratio below in its simplest form.
1/3:1/4
how do you sinplify fractions in ratios
Answer:
4/3
Step-by-step explanation:
(1/3)/(1/4)
(1/3)(4/1)
4/3
The ratio 1/3:1/4 is simplified to 4:3 by finding a common denominator. In the given proportion with a scale factor, cross-multiplication is used to find the actual dimension which results in x=8 when the scale dimension is 4.
To express the ratio 1/3:1/4 in its simplest form, find a common denominator for the two fractions, which in this case is 12. The fraction 1/3 is equivalent to 4/12, and 1/4 is equivalent to 3/12. Therefore, the ratio 1/3:1/4 becomes 4/12:3/12. Since both denominators are the same, they can be canceled out, leaving us with the simplified ratio 4:3.
Now, let's apply this to a problem with a scale factor. For the proportion 1:2=4:x, to find the value of x, you can cross-multiply. This gives us 1*x = 2*4 which simplifies to x=8. Therefore, if the scale dimension is 4, the actual dimension is 8.
What is the equation of the following graph
Answer:I believe it's y=log(x-3)
Step-by-step explanation:
the Strauss family is deciding between two lawn care services Green Lawn start charges a $49 startup fee plus $29 per month grass team charges a $25 startup fee plus that $37 per month and how many months will both line care services cost the same what will be the cost
Final answer:
Both lawn care services, Green Lawn and Grass Team, will cost the same after 3 months, with each service costing a total of $136 at that point.
Explanation:
The student asked at how many months will both lawn care services, Green Lawn and Grass Team, cost the same and what will be that cost. To solve this, we set up an equation with Green Lawn's cost model: $49 (startup fee) + $29 per month (monthly fee) and Grass Team's cost model: $25 (startup fee) + $37 per month (monthly fee). Let m represent the number of months.
The equation will look like this:
49 + 29m = 25 + 37m
To find the number of months where the costs are the same, we will solve for m:
Subtract 29m from both sides: 49 = 25 + 8mSubtract 25 from both sides: 24 = 8mDivide both sides by 8: m = 3Therefore, both services will cost the same after 3 months. The total cost at this point will be calculated by substituting m back into either cost model (we will use Green Lawn's model):
Total Cost = 49 (startup fee) + (29 × 3) (3 months of service)Total Cost = 49 + 87Total Cost = $136
Jacob deposited $4,010 in his bank account at an interest rate of 7%. The following function represents his balance after t years.
if x+3/3 = y+2/2, then x/3 = ?
A. Y + 1
B. Y / 3
C. Y / 2
D. Y - 1
Answer:
C
Step-by-step explanation:
(x+3)/3 =(y+2)/2
x/3 +3/3 = y/2 +2/2
x/3 +1 = y/2 +1
x/3 = y/2
what is .41 as a fraction
Answer: 41/100
Step-by-step explanation: First, we can change .41 to 0.41 by putting a zero in front of the decimal point.
Using the place value chart, we can see that 0.41 means 0 units, 4 tenths a 1 hundreth. Think of 4 tenths and 1 hundredth as 41/100 so we have 41/100.
Since the fraction 41/100 is in lowest terms, this is our final answer.