Answer:
x=2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable :)
The value of x in the equation is 2.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that;
2.5(6x - 4) = 10 + 4(1.5 +0.5x)
Now,
To solve for x, we need to simplify the equation and isolate x on one side. Here are the steps:
Distribute 2.5 and 4 on the left and right sides respectively:
15x−10=10+6+2x
Combine like terms on both sides:
15x−10=16+2x
Subtract 2x from both sides:
13x−10=16
Add 10 to both sides:
13x=26
Divide both sides by 13:
x=1326
Simplify the fraction:
x=2
Therefore, by the equation the answer will be 2.
Learn more about equations here;
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Work out the following.
33 + 8 x 9 =
(31 - 20) x 3 =
102 - 6 = (8-5) =
120 = (12 + 4 x 7) - 2 =
8 × 9 = 72
33 + 72 = 105
The answer is 105
2nd Equation:31 - 20 = 11
11 × 3 = 33
The answer is 33
3rd Equation:102 - 6 = 8 - 5
102 - 6 = 96
96 = 8 - 5
8 - 5 = 3
96 = 3
93 = 3 is false so therefor, this equation has no solution.
4th Equation:
102 = 12 + 4 × 7 - 2
4 × 7 = 28
102 = 12 + 28 - 2
12 + 28 = 40
102 = 40 - 2
40 - 2 = 38
102 = 38
102 = 38 is false so, it means that this equation has no solution.
i have $2 in my pocket what might be in my pocket (number puzzle)
Answer:
$2
Step-by-step explanation:
the slide at the playground has a height of 6 feet. the base of the slide measured on the ground is 8 feet. what is the length of the slide?
Answer: 10 feet
Step-by-step explanation:
Andrea runs 4 miles every day, but she wants to increase her distance in order to run a 26 mile marathon. She decides to add 2 miles each day to her distance until she achieves her goal. If she starts with 6 miles today, how many miles will she have run in total, by the time she achieves her 26 mile goal? The correct answer is 176 miles.
Answer:
By the time she achieves her 26 mile goal Andrea will have run 176 miles.
Step-by-step explanation:
Since Andrea runs 4 miles every day, but she wants to increase her distance in order to run a 26 mile marathon and she decides to add 2 miles each day to her distance until she achieves her goal, to determine, if she starts with 6 miles today, how many miles will she have run in total, by the time she achieves her 26 mile goal the following calculation should be performed:
6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22 + 24 + 26 = X
14 + 22 + 30 + 38 + 46 + 26 = X
36 + 68 + 72 = X
36 + 140 = X
176 = X
So, by the time she achieves her 26 mile goal Andrea will have run 176 miles.
Mark multiplied a number by itself. He found a
product of 30. What is the number, rounded to the
nearest tenth?
A. 4.5
B. 5.4
C.5.5
D. 15.0
Answer:
5.5×5.5=30.5
we rounded 30.25 in nearest tenth it becomes 30
Answer:
C.] 5.5
Step-by-step explanation:
It is mentioned that the number was multiplied by the number itself.
Let's take 'x' as the number. It was multiplied by itself and the product is 30. So the equation will be:
x × x = 30
[tex]x^{2}[/tex] = 30
x = [tex]\sqrt{30}[/tex]
x = 5.47 = 5.5 (to the nearest tenth)
A ladder is standing on horizontal ground and rests against a vertical
wall. The ladder is 4.5 m long and its foot is 1.6 m from the wall.
Calculate how far up the wall the ladder will reach. Round your
answer to three decimal places. (Show your working)
Answer:
I don't know how to tell you the answer on this one because you need to know how tall the wall is for this one
Step-by-step explanation:
2 cups is to 8 cans as 14 cups is to ___ cans?
Answer:
56
Step-by-step explanation:
The ratio is 1:4
14 * 4 = 56
Answer: 56
Step-by-step explanation:
8 ÷ 2 = 4 (cans) - it is 1 cup.
14 × 4 = 56 (cans) - it is 14 cups.
The weights of a certain brand of candies are normally distributed with a mean weight of 0.8544 g and a standard deviation of 0.0525 g. A sample of these candies came from a package containing 466 candies, and the package label stated that the net weight is 397.9 g. (If every package has 466 candies, the mean weight of the candies must exceed 397.9466
Required:
If 1 candy is randomly selected, find the probability that it weighs more than 0.8535 g. The probability is:_____
Answer:
The probability is 0.508 = 50.8%.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Normally distributed with a mean weight of 0.8544 g and a standard deviation of 0.0525 g.
This means that [tex]\mu = 0.8544, \sigma = 0.0525[/tex]
If 1 candy is randomly selected, find the probability that it weighs more than 0.8535 g.
This is 1 subtracted by the pvalue of Z when X = 0.8535. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0.8535 - 0.8544}{0.0525}[/tex]
[tex]Z = -0.02[/tex]
[tex]Z = -0.02[/tex] has a pvalue of 0.492
1 - 0.492 = 0.508
The probability is 0.508 = 50.8%.
The area of a rectangular folder is 63 square inches. The folder is 7 inches wide. How long is
it?
*........* inches
Answer:
9 inches long
Step-by-step explanation: So, this is an area problem. We know that this is a rectangle. This means we use the equasion lw or length times width. We are missing the length so we can divide the area by the width. This is common in problems where you must find a missing number.
What expression is equivalent to 3x - 7 - 6x + 13
Answer:
-3x + 6 and -3(x - 2)
Step-by-step explanation:
Given
[tex]3x - 7 - 6x + 13[/tex]
Required
An equivalent expression
[tex]3x - 7 - 6x + 13[/tex]
Collect Like Terms
[tex]3x - 7 - 6x + 13 = 3x - 6x - 7 + 13[/tex]
[tex]3x - 7 - 6x + 13 = -3x+6[/tex]
This can be simplified further as:
[tex]3x - 7 - 6x + 13 = -3(x-2)[/tex]
Your weight on Mars varies
directly with your weight on
Earth. A person weighing 125 lb on
Earth weighs 47.25 lb on Mars,
since Mars has less gravity. If
you weigh 155 lb on Earth, how
much will you weigh on Mars
rounded to the nearest pound?
Answer:
w=58.59
Step-by-step explanation:
47.25/125=w/155
155×47.25/125=155×w/155
7323.75/125=w
w=58.59
The radius of a circular rug is 4 feet. How much ribbing will you need to buy to go around the rug? Use 3 for i.
A)
12 feet
B)
24 feet
C)
36 feet
D)
48 feet
The graph of a function is a line that passes through the coordinates (2, 11) and (8, 14).
Which is an equation in terms of x and y for this function?
y = 12x + 10
y = 23x + 9
y = 32x + 8
y = 2x + 7
Answer:
y=12x+10
Step-by-step explanation:
hope this helps sorry if I'm wrong
A B C OR D SOMEONE HELP
Answer:
B
Step-by-step explanation:
Perpendicular lines have slopes that are negative reciprocals. For example. if the slope of a line is 2, the slope of a line perpendicular to it would be [tex]-\frac{1}{2}[/tex]. If the slope of a line [tex]-\frac{1}{3}[/tex], the slope of a line perpendicular to it would be 3.
Negative reciprocals always have a product of -1, since the numerators cancel out and one of the values is negative.
I hope this helps!
What number should go in the space?
Multiplying by 0.25 is the same as decreasing by
%.
Answer:
75% hope this helps, this can be proven by using 100 as a tester
Answer:
75%
Step-by-step explanation:
(number) x 0.25 = 0.25(number)
0.25(number) = 25% (number)
(number) - 75% = 25% (number)
6-4x is Less than or equal to 26
IPLEASE help me !!! Thanks
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9514 1404 393
Answer:
(b) ΔPQR ~ Δ STR, PR = 16, SR = 12
Step-by-step explanation:
The similar triangles are ...
ΔPQR ~ ΔSTR . . . . by AA similarity: S ≅ P; ∠SRT ≅ ∠PRQ
Corresponding sides are proportional, so we have ...
PR/PQ = SR/ST
(x +1)/8 = (x -3)/6
3(x +1) = 4(x -3) . . . . . . multiply by 24
3x +3 = 4x -12 . . . . . . . eliminate parentheses
15 = x . . . . . . . . . . . . . . add 12-3x
Then the side lengths are ...
PR = x+1 = 15 +1 = 16
SR = x -3 = 15 -3 = 12
The similarity statement and side lengths match the 2nd choice.
Dario buys applesauce cups for a family reunion. He needs
23 cups, and he buys them in packs of 6. How many packs does
Dario need?
Answer:
4
Step-by-step explanation:
he will have extra but its better then having nothing , and only extra by 1
Answer: 4 packs
Step-by-step explanation: Dario need to buy 4 packs and get
4 ·6=24 cups
In a bowl of fruit, there are green grapes and black grapes in the ratio 3: 4
If there are 24 green grapes, how many black grapes are there?
The system of equations y=- x +5 and y= x - 1 is graphed. What is the solution to the system of equations?
Answer:
2(x+1)=3(x-1). 2x+4 = $*-6. -*=-8 .... x=y x=17. 1. x x. X. = 8. X-9=-3x-5 f). 4x=4 x = 1 ... Graphing Linear Equations. Graph ... Solve the inequality and graph the solution on a number line.
what is the measure if two supplementary angles has a ratio of 3:7. fund the measure if both angles
Answer:
The two angles are 54 degrees and 126 degrees.
Step-by-step explanation:
Let the two angles be 3x and 7x. Supplementary angles add up to 180 degrees.
Use the distributive property to solve: 10(y-r) *
Your
answer
Ilse the distributive property to solve: 2(3+6) *
Answer:
The answers are 10y - 10r and 18
Step-by-step explanation:
10(y - r)
10y - 10r
___________________
2(3 + 6)
6 + 12
18
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
DA is tangent to the circle at A and DC is tangent to the circle at C. Find m
Answer:
D
Step-by-step explanation:
m angle b equals 77 now we have to find the arc of andle b.
so use the equation arc AC = 2(77)
arcAC = 154
360 - 154
=206
206/2
= 103
Hellllppppppppppppppp!!!!!
Provide on equivalent ratio. Show your work....
Write the ratio as a unit rate
per HELP PLEASE
Answer:
VHV
Step-by-step explanation:
wheres the question even?
What is an
equation of the line that passes through the points (-4,3) and
(-8,0)?
Answer:
y = 3/4x + 6
Step-by-step explanation:
(-4,3) and (-8,0)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(0 - 3) / (-8 - (-4))
Simplify the parentheses.
= (0 - 3) / (-8 + 4)
= (-3) / (-4)
Simplify the fraction.
= -3/-4
= 3/4
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 3/4x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (-8, 0). Plug in the x and y values into the x and y of the standard equation.
0 = 3/4(-8) + b
To find b, multiply the slope and the input of x(#)
0 = -6 + b
Now, add 6 to both sides to isolate b.
6 = b
Plug this into your standard equation.
y = 3/4x + 6
This is your equation.
Check this by plugging in the other point you have not checked yet (-4, 3).
y = 3/4x + 6
3 = 3/4(-4) + 6
3 = -3 + 6
3 = 3
Your equation is correct.
Hope this helps!
In a cafeteria, 3/10 of the students ate eating salads, and 3/5 are eating sandwiches. There are 30 students in the cafeteria. How many students are eating lunches other than salads or sandwiches?
Answer:
1/10 or 3kids
Step-by-step explanation:
First you want to take 3/5 into 10nths so you do 3/5 times two and you get 6/10 then you add up 6/10 and 3/10 and you get 9/10. 30÷ 9/10 is 27 so 3 kids are having other things
(Urgent) Worth 10 points 7.3
Answer:
[tex] 2228 \: {ft}^{2} [/tex]
Step-by-step explanation:
Required flooring cover
= Area of the school playground
= Area of square with side 40 ft + Area of semicircle with radius (40/2) i.e. 20 ft
[tex] = {(40)}^{2} + \frac{1}{2} \times 3.14 \times {(20)}^{2} \\ \\ = 1600 + \frac{1}{2} \times 3.14 \times 400 \\ \\ = 1600 + 3.14 \times 200 \\ \\ = 1600 + 628 \\ \\ = 2228 \: {ft}^{2} [/tex]
What is the value of pi to the hundred-thousands place. (Answer quickly going for 45 points)
Answer:
3.14159
Step-by-step explanation:
pi
giving BRAINLIEST for the correct answer !!
Answer:
x<4
Step-by-step explanation: