Answer:
[tex]\large\boxed{x=\dfrac{1}{2}=0.5}[/tex]
Step-by-step explanation:
[tex]15-0.5(4x-2)+4x=17\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\15+(-0.5)(4x)+(-0.5)(-2)+4x=17\\\\15-2x+1+4x=17\qquad\text{combine like terms}\\\\(-2x+4x)+(15+1)=17\\\\2x+16=17\qquad\text{subtract 16 from both sides}\\\\2x+16-16=17-16\\\\2x=1\qquad\text{divide both sides by 2}\\\\\dfrac{2x}{2}=\dfrac{1}{2}\\\\x=\dfrac{1}{2}[/tex]
How many times larger is the number 10 billion to the number 10 million?
Answer:
100 times bigger
Step-by-step explanation:
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.
which angle is supplementary to DFA?
Answer:
<AFB
Step-by-step explanation:
Supplementary angles are the angles that's sum up to 180° which is called a straight angle.
In this question we see AFB is supplementary to DFA for DFB is the straight angle.
Solve for f. -f+2+4f=8-3f
Hope it will help u..............
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
Ramon has 7/8 of a cup of cottage cheese. How many 1/4 cup servings can he make?
Answer:
Ramon can make 3 1/2 or 3.5 servings of 1/4 of a cup each one
Step-by-step explanation:
1. What information was given to us to answer the question correctly?
Amount of cottage cheese Ramon has = 7/8 of a cup
2. How many 1/4 cup servings can he make?
For answering this question, we make this calculation:
7/8 * 1/4
7/8 * 4/1 = 28/8 = 7/2 or 3 1/2 cup servings
This means that Ramon can make 3 1/2 or 3.5 servings of 1/4 of a cup each one:
1/4 + 1/4 + 1/4 + (1/2 * 1/4) = 7/8
3/4 + (1/2 * 1/4) = 7/8
3/4 + 1/8 = 7/8
6/8 + 1/8 = 7/8
7/8 = 7/8
(Compound inequalities)
Solve for x.
-8x + 3 ≥ 27 and -13x + 5 ≥ 57
Choose 1 answer:
A: x ≤ -4
B: x ≤ -3
C: -4 ≤ x ≤ -3
D: There are no solutions
E: All values of x are solutions
Answer:
C: -4 ≤ x ≤ -3
Step-by-step explanation:
-8x + 3 ≥ 27
x ≤ -3
-13x + 5 ≥ 57
x ≤-4
It’s A y’all mad goofy for choosing C
X < -4
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 :)
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.
PLEASE 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!
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
If 3/4 = x/8, then x is equal to __.
Answer:
6
Step-by-step explanation:
if 3/4 = x/8 then x = 6 because you have to multiply 4 by 2 to get 8. in the same way 3×2 = 6
plz give me brainliest, i just need 3 more until expert plz plz plz
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.
~
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
Are the ratios 8:16 and 1:2 equivalent?
Answer:
Yes! the ratio 8:16 is equivalent to 1:2
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:
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 CWhat 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 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.
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
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 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:
Use the Distributive
Property to express
28 + 56
Answer:
Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor.
For example, express 36 + 8 as 4 (9 + 2).
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
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 ;)
A trapezoid was broken into a rectangle and a triangle. A trapezoid is broken into a rectangle and a triangle. The rectangle has a base of 8 centimeters and a height of 6 centimeters. The triangle has a base of 2 centimeters and a height of 6 centimeters. What is the length, b, of the base of the triangle?
Answer:
4 cm
Step-by-step explanation:
this is the answer on egde:)
Answer: 2
Step-by-step explanation:
I got it right on a unit test review
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).
If the butcher paper is 21 inches long,what is the area of one circle
Answer:
=[tex]12.25[/tex][tex]\pi[/tex]
Step-by-step explanation:
Given:
Length of butcher paper,(diameter of three congruent circle) = 21 inches
Means, diameter of a circle = [tex]\frac{21}{3}[/tex] = 7 inches
Questioned asked:
Area of one circle = ?
Solution:
Radius of a circle ,r = half of of one circle's diameter
r = [tex]\frac{7}{2}[/tex]
= [tex]3.5[/tex]
Area of circle = [tex]\pi[/tex][tex]r^{2}[/tex]
[tex]3.5\times3.5[/tex] [tex]\pi[/tex]
=[tex]12.25[/tex][tex]\pi[/tex]
Therefore, Area of one circle ==[tex]12.25[/tex][tex]\pi[/tex]