Answer:
x = -5
Step-by-step explanation:
2x + 17 + 3x = 4 + 3x + 3
5x + 17 = 3x + 7
5x - 3x = 7 - 17
2x = -10
x = -5
Step-by-step explanation:
5x+17=3x+7
5x-3x=-17+7
2x=-10
x=-5
*can you help me back please
A recipe for fruit punch uses 4 ounces of fruit mix to
make 6 glasses of punch. How many glasses of this
punch can be made from 26 ounces of fruit mix?
A) 24 B) 32 C) 36
D) 48
Answer:
39 glasses
Step-by-step explanation:
use proportion:
g = # glasses punch
4/6 = g/26
cross-multiply
4g = 26(6)
4g = 156
g = 39
Which table of the values can be defined by the function,y=4x-3
Answer:
B
Step-by-step explanation:
help guys pls asap!!!
Answer:
(-3,-5) so yeeeeeeeeeeeeeeeeeeeee
Using complete sentences, explain the key features of the graph of the cosine function. (10 points)
Explanation is in a file
bit.[tex]^{}[/tex]ly/3a8Nt8n
PLEASE HELP (60)POINTS
The points (2, 1), (1, 0), (2, 1), (4, 2), and (8, 3) will be plotted on the graph accordingly. The x-coordinate represents the value from the domain, and the y-coordinate represents the corresponding value obtained by evaluating the equation
To plot the points on the graph for the equation y = log2x, we will substitute the given values from the domain (2, 1, 2, 4, 8) into the equation and calculate the corresponding y-values.
For x = 2, y = log2(2) = 1. The point (2, 1) represents this on the graph.
For x = 1, y = log2(1) = 0. The point (1, 0) represents this on the graph.
For x = 2, y = log2(2) = 1. The point (2, 1) represents this on the graph.
For x = 4, y = log2(4) = 2. The point (4, 2) represents this on the graph.
For x = 8, y = log2(8) = 3. The point (8, 3) represents this on the graph.
Now, we can plot these points on the graph. The x-axis will range from 0 to 10, and the y-axis will range from -1 to 4 to accommodate the points we have calculated.
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Matthew has saved a total of $14,800, of which $3700 is invested in the stock market. What percent of his total savings is invested in the stock market?
Answer:
$ 56 .0000
Step-by-step explanation:
.......... ....... ....... ........ .....
HELP ASAP!!! A padlock has a rotary dial of numbers from 0 to 59. The combination is a series of three numbers, each between 0 and 59. If you were to guess random numbers, what is the probability of guessing the combination correctly?
Answer
1/216000
Step-by-step explanation:
1/60 x 1/60 x 1/60
I hope this helps
The probability of guessing the combination correctly is extremely low, approximately 0.00046%.
What is probability?Probability is represented as the likelihood of an occurrence being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
There are 60 possible numbers on the rotary dial of the padlock, from 0 to 59. To calculate the total number of possible combinations, we can use the multiplication principle of counting.
Since the combination has three numbers, each of which may be any of the dial's 60 possible digit numbers, the total number of possible combinations is:
60 x 60 x 60 = 216,000
As a result, the padlock has 216,000 probable combinations.
If you were to predict random numbers, your chances of getting the proper combination are as follows:
1 / 216,000
This is due to the fact that there is only one accurate combination among the total of 216,000 conceivable combinations.
The likelihood of successfully guessing the combination is extremely low, around 0.00046%, implying that a human cannot open the padlock by randomly guessing the combination.
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Cora uses the following ingredients to make once more.
Answer:
10 if the other the numbers go up as well
Step-by-step explanation:
20/2= 10
Which would mean Kora could make 10 s'mores
Peyton needed to get her computer fixed. She took it to the repair store. The
technician at the store worked on the computer for 4 hours and charged her $77 for
parts. The total was $497. Write and solve an equation which can be used to
determine x, the cost of the labor per hour.
Answer:
The cost of labor per hour is $105.
The expression is 4x + 77 = 497
Step-by-step explanation:
The expression is 4x + 77 = 497, where 4x represents the cost of labor per hour, 77 is the cost of the parts, and 497 is the total.
4x + 77 = 497
4x + 77 - 77 = 497 -77
4x = 420
4x/4=420/4
x = 105
Is PS a vertical line, a horizontal line, or neither?
P (-1,0), S (-1,7)
Given:
The two points are P (-1,0) and S (-1,7).
To find:
Whether the line PS is vertical, horizontal or neither.
Solution:
We have, two points P (-1,0) and S (-1,7).
Slope of the line PS is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{7-0}{-1-(-1)}[/tex]
[tex]m=\dfrac{7}{0}[/tex]
[tex]m=\infty[/tex]
We know that the slope of a vertical line is [tex]\infty[/tex].
Since the slope of the line PS is [tex]\infty[/tex], therefore PS is a vertical line.
5) Is this dilation an enlargement or reduction
A) Englargement
B) Reduction
———————
6) What is the scale factor for this dilation? Hint: First identity if it’s an enlargement or reduction
A) 2
B) 1/2
C) 3
D) 1/3
if EB = 5 , find the value of CD
Chords and Arcs
Answer:
10Step-by-step explanation:
AB = 2EB
AB=CD
Due to that
Cd = 2EB therefore
CD = 10
A spherical water tank with diameter of 26 meters supplies water to a small town. The town uses about 400 cubic meters of water per day. To
the nearest day, how long would a full tank last if no water were replaced due to drought conditions.
Answer:
23 days
Step-by-step explanation:
We would first determine the volume of the tank. This gives information on the amount of water it can carry
WE divide the volume by the amount of water the town uses per day
Volume of a sphere = [tex]\frac{4}{3}[/tex]πr³
n = 3.14
r == radius
radius = 1/2 x diameter
radius = 26/2 = 13 meters
volume = (4/3) x (3.14) x (13^3) = 9198.106667 m^3
How long the tank would last = 9198.106667 / 400 = 23 days
What is the intercept of the equation
Answer:
-2
Step-by-step explanation:
Plug y=0 into the equation and solve the resulting equation 0=3x+6 for x
You and each of your 20 friends are each going to go out and randomly sample 50 people in Chicago and ask them how many Batman movies they have seen and will compute the average number for your sample of size 50. (a) Do you think that all 21 of you will have the exact same average number
Answer:
No
Step-by-step explanation:
No, absolutely not. I don't think we'd have the same sample average number. The randomising of values is quite high, very high, for one to think that we'd end up having the same average. Walking out there, talking to random people who don't even know each other at all means they will definitely give different numbers. Again, when you look at it, there are 21 of us, 21 is also a high number as well.
I believe with all these factors involved and actively militating, 21 people can't have the same sample average. No!
Point Q is located at (-9, 10).
Where is Q' after a translation
4 units right and 11 units down?
Answer:
(-5, -1)
Step-by-step explanation:
Moving towards the right makes a number more positive for x and moving down makes numbers more negative for y
a bowl contains 5 red chips, 7 blue chips, 6 yellow chips, and 10 green chips. One chip is randomly drawn. Write the answer as a fraction in simplest form. Find the probability of choosing a red OR yellow chip.
Answer:
The probability is 11/28 or 39%
Step-by-step explanation:
You add 5+6=11 and their are 28 total chips.
Find the value of x.
A. 10
B. 17
C. 14
D. 7
Answer:
x = 7
Step-by-step explanation:
By a certain theorem, Congruent chords are equidistant from the center of a circle. We know these chords are congruent because the top half of the left chord and bottom half of the right chord are congruent.
We also know that a radius perpendicular to a chord will bisect it, meaning the length of each chord is 20, but that's irrelevant, really.
So, now that we know the chords are equidistant from the center, we also know that x will be equal to 7.
Have a nice day, fam.
A polynomial function contains the factors x, x - 3 , and x + 1 Which graphs could represent the polynomial function? SELECT ALL THAT APPLY.
Answer:
Option B and F.
Step-by-step explanation:
Given that the terms x, x-3 and x+1, are the factors of the polynomial, therefore the roots are calculated by equating the factors to zero,
[tex]x = 0[/tex]
x - 3 = 0 ➡️ x = 3
x + 1 ➡️ x = -1
Plus, the polynomial has the zeroes -1, 0 and 3.
It means that the curve of the graph should intersect the x-axis at x = 0, x = 1, and x = 3.
Now select the graphs which pass through (-1, 0), (0, 0) and (3, 0).
It is observed that the graphs in options B and F follow this path.
So the correct choices are option B and F.
Can anyone know the answer?
Step-by-step explanation:
[tex]4x + 2 = 90 \\4x = 88 \\ x = 22[/tex]
what is the mean of this data set 8,2,5,12
Answer:
6.75
Step-by-step explanation:
Add up all the numbers in the data set :
8 + 2 + 5 + 12 = 27
Divide 27 by the total numbers in the data set :
27 ÷ 4 = 6.75
Therefore, the mean if the data set is 6.75
What causes a sequence to be arithmetic? Geometric?
Answer:
An arithmetic sequence has a constant difference between each term. ... A geometric sequence has a constant ratio (multiplier) between each term. An example is: 2,4,8,16,32,… So to find the next term in the sequence we would multiply the previous term by 2.
Step-by-step explanation:
What is the formula for finding the area of a triangle, parallelogram and trapezoid?
If you answer, thank you! <3
Help pls this is my first question on here and I need help with this pls. I will give you the brainliest and a thanks!! :)) Can you do 1 and 4 thanks!! :)))
Calculate the area of the shape below.
Answer:
6 1/2 in^2
Step-by-step explanation:
(4(3 1/4)) / 2 = 6 1/2 in^2
Answer:
6 1/2 or 6.5 in2
Step-by-step explanation:
A= Bxh/2
4x 3.25/2= 6.5
A=6.5 of 6 1/2
The blue segment below is a radius of oo. What is the length of the diameterof the circle?
Answer:
Diameter = 18.6 unitsStep-by-step explanation:
radius = 9.3 units
Diameter = 2 × radius
= 2 × 9.3
= 18.6 units
Determine the equation of a straight line that is parallel to the line 2x + 4y =1 and which passes through the point (1, 1).
The equation of the line parallel to 2x + 4y = 1 and passing through the point (1, 1) is y = (-1/2)x + 3/2.
For finding the equation of a line parallel to the given line and passing through the point (1, 1), we need to determine the slope of the given line and use it to construct the equation.
The given line has the equation 2x + 4y = 1. To determine its slope, we can rewrite the equation in slope-intercept form (y = mx + b), where m represents the slope. Rearranging the equation, we have:
4y = -2x + 1
y = (-2/4)x + (1/4)
y = (-1/2)x + 1/4
Comparing this equation to the slope-intercept form (y = mx + b), we can see that the slope of the given line is -1/2.
The line we're trying to find is parallel to this line, it will also have a slope of -1/2. We can now use the point-slope form of a line to construct the equation. The point-slope form is given by:
y - y₁ = m(x - x₁)where (x₁, y₁) represents the coordinates of the point through which the line passes, and m is the slope.
Substituting the values of (x₁, y₁) = (1, 1) and m = -1/2 into the point-slope form, we get:
y - 1 = (-1/2)(x - 1)
Expanding and simplifying the equation:
y - 1 = (-1/2)x + 1/2
y = (-1/2)x + 1/2 + 1
y = (-1/2)x + 3/2
The equation of the line parallel to 2x + 4y = 1 and passing through the point (1, 1) is y = (-1/2)x + 3/2.
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Simplify the expression $(x-4)(x-7) + (3-x)(2+x).$
Help please!
The equation -10x + 34 is the simplification for the given expression.
Addition Sign RulesHere it is important to remember the rules for the addition of integers numbers:
+ + Add Final result (+)
- - Add Final result (-)
+ - Subtract Final result (the sign of the integer having a greater value )
- + Subtract Final result (the sign of the integer having a greater value )
Multiplication Sign RulesThe rules for multiplication of numbers are:
+ + or - -The result presents a positive sign (+) because the signs are same.
+ - or - +The result presents a negative sign (-) because the signs are different.
First, you should apply the distributive property and the multiplication sign rules.
(x-4)(x-7) + (3-x)(2+x)
x²-7x-4x+28+6+3x-2x-x²
After that, you should simplify the previous result from addition or subtraction sign rules.
x²-11x+34+x-x²
-10x + 34
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Solve for the value of r.
Answer:
14
Step-by-step explanation:
The two given angles are opposite angles and opposite angles always have the same measure. Knowing this, we can construct the following equation:
7r+6=8r-8
Subtract both sides by 6
7r+6-6=8r-8-6
7r=8r-14
Subtract both sides by 8r
7r-8r=8r-14-8r
-r=-14
Divide both sides by -1
r=14
I hope this helps!
Triangle LMN, shown below, is a right triangle.
L
13
5
N
M
12
Which of the following is equivalent to sin L?
PLEASE ANSWER I NEED HELP!!
9514 1404 393
Answer:
D cos(N)
Step-by-step explanation:
In case you haven't remembered the fact that the sine of an angle is equal to the cosine of its complement (the other acute angle in a right triangle), you can always go back to the definitions.
Sin = Opposite/Hypotenuse
sin(L) = NM/NL
and
Cos = Adjacent/Hypotenuse
cos(N) = NM/NL = sin(L)
The equivalent of sin(L) is cos(N).