The time spent for reading is 31.3 minutes
Solution:
You read 9.75 pages in your science book and 24.5 pages of a play for English class
Therefore,
Number of pages read in science = 9.75
Number of pages read in play = 24.5
Also given that,
Time taken to read each page of science = 1.2 minutes
Time taken to read each page of play = 0.8 minute
To find: Time spent for reading
Time spent for reading = Number of pages read in science x Time taken to read each page of science + Number of pages read in play x Time taken to read each page of play
[tex]Time\ spent\ for\ reading = (9.75 \times 1.2) + (24.5 \times 0.8)\\\\Time\ spent\ for\ reading = 11.7 + 19.6\\\\Time\ spent\ for\ reading = 31.3[/tex]
Thus time spent for reading is 31.3 minutes
A man weight 245 pounds. He lost 40 pounds in 5 months. Then he gain 25 pounds 4 months later. What percent of his weight did he lose in the first 5 months
Step-by-step explanation:
100%=245
x%=40
Let's see what part 40 is of 245. 40/245=0.16. so 0.16×245=40. Therefore 0.16×100%=x=16% roughly.
The recommended angle for a wheelchair ramp is 5 degrees. If the rise of the ramp to go up the steps is 5 feet, find the horizontal run length that the ramp must start. (Round to one decimal place)
Answer:
[tex]57.2\ ft[/tex]
Step-by-step explanation:
we know that
The formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)
In this problem
The tangent of angle of 5 degrees is equal to the quotient of "rise over run"
Let
y ----> the rise of the ramp
x ----> the run of the ramp
[tex]tan(5^o)=\frac{y}{x}[/tex]
we have
[tex]y=5\ ft[/tex]
substitute and solve for x
[tex]tan(5^o)=\frac{5}{x}[/tex]
[tex]x=\frac{5}{tan(5^o)}[/tex]
[tex]x=57.2\ ft[/tex]
Please help me asap
What is the equation for the line?
Enter your answer in the box.
the graph is below
The equation of a line is y = mx + b [m is the slope, b is the y-intercept or the y value when x = 0 ----> (0, y) or the point where the line goes through the y-axis]
To find the slope, you use the slope formula (m):
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] and plug in 2 points
I will use the points (0, 0) and (1, 8)
(0, 0) ----> (x₁, y₁)
(1, 8) ----> (x₂, y₂)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{8-0}{1-0}[/tex]
m = 8
Since you know m, plug it into the equation.
y = 8x + b
The graph shows that the y-intercept is 0, so plug it into the equation
y = 8x
Which equation shows the correct use of the distributive property?
-4(3/2x-1/2)=-15
1a. 6x+4=-15
2b. 2x-1/2=-15
3c. -6x-2=-15
4d. -6x+2=-15
Answer: 4
Step-by-step explanation:
Multiply 4 by 2/3 and 1/2 (calculator) or you can put 4 like 4/1 than multiply 4/1 *3/2 and 4/1 * 1/2
Top times top and bottom times bottom
The equation which shows the correct use of the distributive property is - 6x + 2 = -15
The Distributive Property is an algebraic property which is used to multiply a single term and two or more terms inside a parenthesis.Given:
-4(3/2x - 1/2) = -15
multiply separately
-4(3/2x) -4(-1/2) = -15
-12/2x + 4/2 = -15
- 6x + 2 = -15
solve for x
-6x = -15 - 2
-6x = -17
x = -17/-6
x = 2.83
Therefore, the equation which shows the correct use of the distributive property is
- 6x + 2 = -15
Read more:
https://brainly.com/question/2807928
1/4x - 3/4x = 3 - 1/2x
Answer:
No solution.
Step-by-step explanation:
1/4x-3/4x=3-1/2x
-2/4x=3-1/2x
-1/2x+1/2x=3
0=3
no solution
Select the two figures that are similar to the 2 by 6 figure that shown.
Guys pls help this an imagine math problem here is the picture.
The value of two figures that are similar to the 2 by 6 figure are shown in figure 2 and figure 4.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The figure is type of 2 by 6.
Now,
Since, The figure is type of 2 by 6.
Which is equal to 1 by 3.
Clearly, In figure 1;
The size is 2 by 4.
It is equal to 1 by 2.
In figure 2;
The size is 1 by 3.
It is equal to 1 by 3.
In figure 3;
The size is 1 by 6.
It is equal to 1 by 6.
In figure 4;
The size is 3 by 9.
It is equal to 1 by 3.
Thus, The figure 2 and figure 4 is equal to the figure 2 by 6.
Learn more about the divide visit:
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5. Divide
1) x4-3x2+4x+5 by x2+1-x 2) x3-3x2+5x-3 by x2-2
1) Quotient = [tex]x^2+x-3[/tex].
Reminder= 8.
2) Quotient = x-3.
Reminder = 7x-9.
Step-by-step explanation:
The Polynomial division is same as the regular division using long division method.
The quotient and reminder can be either polynomial or number.
1) For [tex]\frac{x^4-3x^2+4x+5}{x^2-x+1}[/tex] , the quotient is [tex]x^2+x-3[/tex] and the reminder is 8.
2) For [tex]\frac{x^3-3x^2+5x-3}{x^2-2}[/tex], the quotient is x-3 and the reminder is 7x-9.
( The steps are uploaded in the image).
Solve for k
4.5 + 1.5k = 18 - 3k
What is k?
Please help I need to hand my assignment in an hour. Thanks all :)
Answer:
When solving equations the goal is to get the variable by itself so
4.5+1.5k=18-3k (first step is to subtract 4.5 from each side)
1.5k=13.5-3k (4.5-4.5=0, 18-4.5=13.5) (Next is to add 3k to each side)
4.5k=13.5 (1.5k+3k=4.5k, -3k+3k=0) (Last you divide both sides by 4.5)
k=3 (4.5/4.5=1, 13.5/4.5=3)
k=3
Hope this helps ;)
what is the quadratic equation if the solutions are -9+ √65 /2, -9- √65 /2
Answer:
[tex]4x^2+72x+259=0[/tex]
Step-by-step explanation:
If [tex]x_1[/tex] and [tex]x_2[/tex] are the solutions to the quadratic equation, then this equation can be written as
[tex](x-x_1)(x-x_2)=0[/tex]
In your case,
[tex]x_1=-9+\dfrac{\sqrt{65}}{2}\\ \\x_1=-9-\dfrac{\sqrt{65}}{2}[/tex]
Then the equation is
[tex]\left(x-\left(-9+\dfrac{\sqrt{65}}{2}\right)\right) \left(x-\left(-9-\dfrac{\sqrt{65}}{2}\right)\right)=0\\ \\\left(x+9-\dfrac{\sqrt{65}}{2}\right)\left(x+9+\dfrac{\sqrt{65}}{2}\right)=0\\ \\x^2+9x+\dfrac{\sqrt{65}}{2}x+9x+81+\dfrac{9\sqrt{65}}{2}-\dfrac{\sqrt{65}}{2}x-\dfrac{9\sqrt{65}}{2}-\dfrac{65}{4}=0\\ \\x^2+18x+\dfrac{259}{4}=0\\ \\4x^2+72x+259=0[/tex]
Are the ratios 8:16 and 1:2 equivalent?
Answer:
Yes! the ratio 8:16 is equivalent to 1:2
What is the sale price of a toy rocket originally priced at $92?
Answer:
$69
Step-by-step explanation:
1 - 0.25 = 0.75
original price * (1 - markdown) = sale price
$92 * 0.75 = sale price = $69
A man drove x miles per hour for 3e hours and (2x-60) miles per hour for the next 4.75 hours. Express the total distance he traveled in terms of x
Answer:
A man drove x miles per hour for 3 hours and (2x-60) miles per hour for the next 4.75 hours.Express the total distance traveled in terms of x.
Total distance covered by the man in terms of 'x' = (12.5x-285)miles
Step-by-step explanation:
Given:
Speed of a man = 'x' miles/hour
Time taken = [tex]3[/tex] hour
So, distance = product of speed and time.
Distance covered in term of 'x' [tex]=(d_1=3x)[/tex]
Now,
Speed = [tex](2x-60)[/tex] miles/hour
Time taken= [tex]4.75[/tex] hours
Distance [tex](d_2)[/tex] = [tex](2x-60)\times 4.75[/tex]
= [tex](2x\times 4.75) -(60\times 4.75)[/tex]
= [tex](9.5x - 285)[/tex] miles
Total distance covered by the man = Summation of [tex]d_1[/tex] and [tex]d_2[/tex]
= [tex](9.5x-285+3x)[/tex]
= [tex](12.5x-285)[/tex] miles
So the total distance covered by the man in terms of 'x' = (12.5x-285) miles.
What is 9x-15+7x-7 in 2 numbers topic is Equivalent expressions
Write and solve a word problem to match the equation 6×?=48
Answer:
Jack has 48 rockets in all. He wants to split them equally into 6 groups. How much rockets do he put into each group?
Let "how much" = x. Set the equation:
x * 6 = 48
(x * 6)/6 = (48)/6
x = 48/6
x = 8
8 groups is your answer.
~
87 x (-22.57) ?????????
Answer:
1979.25
Step-by-step explanation:
the rational roots of a polynomial function f(x) can be written in the form p/q, where p is a factor of the leading coefficient of the polynomial and q is a factor of the constant term.
A true
B false
The statement is true. The rational roots of a polynomial can be written in the form p/q. The rational root theorem is used to determine these potential roots.
Explanation:The statement in the question is true.
The rational roots of a polynomial function can indeed be written in the form p/q, where p is a factor of the leading coefficient and q is a factor of the constant term. This is known as the Rational Root Theorem.
For example, if we have the polynomial function f(x) = 3x^3 - 7x^2 + 4x - 2, the leading coefficient is 3 and the constant term is -2. The potential rational roots would be of the form p/q, where p is a factor of -2 and q is a factor of 3. The factors of -2 are -1, 1, -2, and 2, while the factors of 3 are -1 and 3. Therefore, the potential rational roots would be:
p/q = -1/1 = -1p/q = 1/1 = 1p/q = -2/1 = -2p/q = 2/1 = 2p/q = -1/3 = -1/3p/q = 3/3 = 1Learn more about Rational Root Theorem here:https://brainly.com/question/31805524
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If f( n ) = - 5 n - 2, then f(3) is
Answer:
-17
Step-by-step explanation:
f(n)=-5n-2
f(3)=-5(3)-2
f(3)=-15-2
f(3)=-17
How many times larger is the number 10 billion to the number 10 million?
Answer:
100 times bigger
Step-by-step explanation:
3 1/10- 2 5/6 in simplest form
Answer:
[tex] \frac{4}{15} [/tex]
Step-by-step explanation:
[tex] 3 \frac{1}{10} - 2 \ \frac{5}{6} [/tex]
Convert the above mixed numbers to improper fractions through this simple approach: 3 × 10 + 1 /10 = 31/10. Similarly, 2 × 6 + 5 /6 = 17/6
[tex] \frac{31}{10} - \frac{17}{6} [/tex]
Take the LCM of the denominators and simplify. LCM = 60. Thus, 60/10 = 6; 6 × 31 = 186. Also, 60/6 =10; 10×17 =170 all divide by 60:
[tex] = \frac{186 - 170}{60} [/tex]
Common factors between the numerator and denominator is 4, therefore 16/4 = 4 and 60/4 = 15.
[tex] = \frac{16}{60} = \frac{4}{15} [/tex]
Therefore the answer is 4/15 in simplest form.
A wooden board is 3 yards and 1 foot long what is a equivalent length
Final answer:
To find an equivalent length for a wooden board that is 3 yards and 1 foot long, you convert yards to feet, using the fact that 1 yard equals 3 feet, and then add any remaining feet. The board is therefore 10 feet long in total.
Explanation:
Converting Yards to Feet:
A wooden board is 3 yards and 1 foot long. To find an equivalent length, we need to convert yards to feet because there are 3 feet in 1 yard. The calculation goes as follows:
First, we know that 1 yard equals 3 feet.
To convert 3 yards to feet, we multiply by 3: 3 yards × 3 feet/yard = 9 feet.
Next, we add the extra foot: 9 feet + 1 foot = 10 feet.
Therefore, the board is 10 feet long in total.
This process involves using equalities and conversion factors to change one unit of measurement to another while maintaining the same quantity.
Here’s another one thank u all for helping me. I really appreciate it!
C = circumference of circle with radius r
C = 2*pi*r
C = 2*3.14*3500
C = 21,980
C = 22,000 rounding to 2 significant figures (3500 is also 2 sig figs)
Answer is choice CPLEASE HELP!! BRAINLIEST AND 50 POINTS!
For each scenario below, identify the variables and which variable depends on the other. Identify and explain whether the two variables have a positive association, a negative association, or no association. Then choose which scatter plot could represent the data.
(a) Marcus records the amount of lemonade that he sells each day and compares it to the temperature. He notices that when the temperature is warmer, he sells more lemonade.
(b) Ms. Lee compares the time runners spend training each day to their race times and notices that runners who spend more time training have faster race times.
(c) Tomika surveys her friends to see whether their height affects the amount of time they spend watching television. She finds that some of her taller friends watch a lot of television and some of them watch very little television.
(d) Marley compares the number of hours a person is in a mall to the amount of money the person has left in his or her wallet. She finds that the more time people spend in the mall, the less money they usually have left.
(e) Johanna read a study that stated that people who exercise more are expected to live longer.
Answer:
For the first scatter plot, the variables have a negative association, which matches the option D. X is the amount of time in the mall and Y is the remaining money.
For the second scatter plot, it is a positive association. This plot could match A, B, or E.
The third scatter plot shows no correlation whatsoever, which represents C. Tomika's friends' heights did not associate with how much time they watched TV.
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Brainliest would be appreciated! I'd be Expert by now, but I never get brainliest. You don't have to though, but it would make me happy. Thanks!
4/5 ÷ 7/6 + 2/7 ∙2 1/5
Step-by-step explanation:
We have,
[tex]\dfrac{4}{5}[/tex] ÷ [tex]\dfrac{7}{6}[/tex] + [tex]\dfrac{2}{7}.2\dfrac{1}{5}[/tex]
To find, the value of [tex]\dfrac{4}{5}[/tex] ÷ [tex]\dfrac{7}{6}[/tex] + [tex]\dfrac{2}{7}.2\dfrac{1}{5}[/tex] = ?
∴ [tex]\dfrac{4}{5}[/tex] ÷ [tex]\dfrac{7}{6}[/tex] + [tex]\dfrac{2}{7}.2\dfrac{1}{5}[/tex]
[tex]=\dfrac{4}{5}\times \dfrac{6}{7} +\dfrac{2}{7}.\dfrac{8}{5}[/tex]
[tex]=\dfrac{24}{35} +\dfrac{16}{35}[/tex]
Taking LCM of denominator, we get
[tex]=\dfrac{24+16}{35}[/tex]
[tex]=\dfrac{40}{35}[/tex]
Dividing numerator and denominator by 5, we get
[tex]=\dfrac{8}{7}[/tex]
∴ The value of [tex]\dfrac{4}{5}[/tex] ÷ [tex]\dfrac{7}{6}[/tex] + [tex]\dfrac{2}{7}.2\dfrac{1}{5}[/tex] [tex]=\dfrac{8}{7}[/tex]
Hence, the value of [tex]\dfrac{4}{5}[/tex] ÷ [tex]\dfrac{7}{6}[/tex] + [tex]\dfrac{2}{7}.2\dfrac{1}{5}[/tex] is equal to [tex]\dfrac{8}{7} .[/tex]
The expression 3 1/2x+18 represents the perimeter of the rectangle shown. Write an expression that represents the length of the rectangle.
Answer:the answer is a
Step-by-step explanation:
Answer:
[tex]1\frac{1}{2}x + 4[/tex]
Step-by-step explanation:
We are given the Perimeter: P = Perimeter[tex]3\frac{1}{2}x + 18[/tex] in decimal 3.5x+18
we know that a Perimeter is equal to all sides added up: S1+S2+S3+S4=P
we know that this is a rectangle so that means that it has 4 sides and two sides are the same and the other 2 are the same.
We are given the the height on the image
Height: H = [tex]\frac{1}{4}x + 5[/tex] in decimal 0.25x + 5
That height is one side so we know another of the sides is the same.
Perimeter is equal to all sides added up. So we have to subtract the sides to find out each ones measurements.
(Height x 2) + (Width x 2) = Perimeter
Therefore we know the height which is given on the image is 0.25x+5 so that times 2 = 0.5x+10 (height x 2)
so now we can subtract the heights from the perimeter.
3.5x + 18
- 0.5x + 10
--------------------
3x + 8
So we got rid of both heights. Now we are left with our two lengths:
3x+8 = (length x 2)
To get the length of one side we divide that by 2 because there are 2 sides that have the same length and get 1.5x+4 in fractions that is:
[tex]1\frac{1}{2}x + 4[/tex]
I hope this helped you or anyone else that needs the answer :)
What is the factorization of the trinomial below? 2x^2 +11x+15
Answer:
(2x+5)(x+3)
Step-by-step explanation:
2x^2+11x+15
(2x+5)(x+3)
Answer:
(2x+5)(x+3)
Step-by-step explanation:
Solve for f. -f+2+4f=8-3f
Hope it will help u..............
I need help please and thank you
Answer:
122 degree
Step-by-step explanation:
As we know that
Sum of all angles of triangle = 180 degree
Angle A + Angle B + Angle C = 180
Angle A + 43 + 15 = 180
Angle A + 58 = 180
Angle A = 180-58
Angle A = 122
The length of a picture frame is 8 inches more than the width. For what values of x is the perimeter of the picture frame greater than 152 inches.
For, "x" greater than 34, the perimeter of the picture frame greater than 152 inches
Solution:
Let "x" be the width of the frame
Given that, The length of a picture frame is 8 inches more than the width
Therefore,
Length = width + 8
Length = x + 8
The perimeter of rectangle is given by formula:
Perimeter = 2(length + width)
Substituting the values we get,
Perimeter = 2(x + 8 + x)
Perimeter = 2(2x + 8)
Perimeter = 4x + 16
The perimeter of the picture frame greater than 152 inches
Perimeter > 152
[tex]4x + 16>152\\\\\text{Subtract 16 from both sides of inequality}\\\\4x + 16 - 16 > 152 - 16\\\\4x>136\\\\\text{Divide both sides by 4}\\\\x>34[/tex]
Therefore, for, "x" greater than 34, the perimeter of the picture frame greater than 152 inches
Answer:
x>35
Step-by-step explanation:
1/6x=2 how would you do that.
Answer:
Divide 2 by 1/6 and you should get the value of x.
Step-by-step explanation:
simple 2 step equation.
Answer: x = 12
Step-by-step explanation: In this equation, notice that x is being multiplied by a fraction. In this situation, in order to get x by itself, we must multiply both sides of the equation by the reciprocal of that fraction. The reciprocal of a fraction is just that fraction flipped so the reciprocal of 1/6 is just 6/1.
So here, in order to get x by itself, we multiply both sides of the equation by 6/1. On the left our 6's cancel and our 1's cancel and we're left with x. On the right we have 2 x 6 which simplifies to 12 so x = 12.
A kite has a string that is 400 feet long, if the kite makes a 42 degree angle with the ground, whats the horizontal distance between the kite and its flyer?
Answer:
297.26 feet to the nearest hundredth.
Step-by-step explanation:
We use the cosine ratio here because we know the hypotenuse and need the adjacent side.
cos 42 = adj / hyp
= x / 400
x = 400 cos 42
x = 297.26 feet.