[tex]3x=-36|:3\\x=-12[/tex]
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P.S. Hello from Russia :^)
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Answer:
-12
Step-by-step explanation: To put it simple you want to get the x by itself which means you'll have to multiply both sides by 3
3x/3 = x
-36/3 = -12
x = -12
What is the equation of the line that is perpendicular to and
has the same y-intercept as the given line?
y= 4x+1
(50)
y= 4x+5
tos -
32
2
3
4
5
6
y = 5x + 1
5x + 5
Answer:
y = (-¼)x + 1
Step-by-step explanation:
y = 4x + 1
Slope of the perpedicular:
m = -¼
Equation:
y = (-¼)x + 1
4y = -x + 4
Write this word sentence as an inequality. A number y is greater than 1 and is less than or equal to 8 .
Answer:
1<y≤8
Step-by-step explanation:
step 1
The number is y and it is greater than one.
The sign for greater than in mathematics is '>'
Therefore, we can write
y>1
And it means 1 is less than y
Less than = <
1<y
Step 2
y is less than or equal to 8. In mathematics, the 'less than or equal to' sign is '≤'
Therefore, we can write
y≤8
Step 3
We then combine these two inequalities
1<y≤8
Final answer:
The inequality 1 < y ≤ 8 represents a number y that is greater than 1 and less than or equal to 8.
Explanation:
An inequality representing the statement 'A number y is greater than 1 and is less than or equal to 8' can be expressed as:
1 < y ≤ 8
This inequality signifies that y is greater than 1 (1 < y) and at the same time, less than or equal to 8 (y ≤ 8), fulfilling both conditions simultaneously.
What is the value of (Negative three-fourths) Superscript negative 4?
The value of (-3/4[tex])^{-4[/tex] is 256/81.
What is Exponents and Power?Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner.
For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as [tex]3^4[/tex], where 4 is the exponent and 3 is the base. The whole expression 34 is said to be power.
We have to find the value of (-3/4[tex])^{-4[/tex]
First of all make the power positive by reciprocate the number
= (-3/4[tex])^{-4[/tex]
= (-4/ 3 [tex])^4[/tex]
Now, expanding the number we get
= (-4 x -4 x -4 x -4) / (3 x 3 x 3 x 3)
= 256 / 81
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Kevin and Jenny are making plaster. Kevin mixes 3 cups of water with 4 pounds of plaster powder. Complete the ratio table. How much water will Kevin need for 20 pounds of plaster?
Find the area of the figure. *
12 yd
12 yd
Answer:
144 yards
Step-by-step explanation:
Multiply 12 yd by 12 yd =
144 yards
Answer: The answer is 144yd squared
Step-by-step explanation:
Find the area of the triangle that has a base of 16 yd and a height of 9 yd.
72 yd2
144 yd2
25 yd2
50 yd2
solve the following equation for x: 6( 4x + 5) = 3(x + 8) + 3. round to the nearest hundredth.
Answer:
-0.14
Step-by-step explanation:
First eliminate the parenthesis:
6( 4x + 5) = 3(x + 8) + 3 =>
24x + 30 = 3x + 24 + 3
Then group x terms on the left and constants on the right
24x - 3x = 24 + 3 - 30
21x = -3
Divide by 21 and simplify:
x = -3/21 = -1/7 ≈ -0.14
Answer:
- 1/7
Step-by-step explanation:
6(4x + 5) = 3(x + 8) + 3
Expand the brackets
6 X 4x + 6 x 5 = 3 X x + 3 X 8 + 3
24x + 30 = 3x + 24 + 3
24x + 30 = 3x + 27
Subtract 30 from both sides to eliminate 30 on the left side
24x + 30 - 30 = 3x + 27 - 30
24x = 3x - 3
Subtract 3x from both sides to eliminate bring all variables to one side
24x - 3x = 3x - 3x - 3
21x = -3
Divide both sides by 21 to isolate x
21x/21 = -3/21
x = -1/7
x = - 1/7
Ángel won 84% of the skating competitions he entered last years. if Ángel entered 250 competitions ,how many did he win?
Answer:
210
Step-by-step explanation:
multipy the percent of the won skating competitions by the total amout of competions to get the result of how mant he won. 84% x 250 competitions= 210 competitions won!
What is the product of 2x-1 and 2x+6? Write your answer in standard form.
Show your work.
Is the product of 2x-1 and 2x+6 equal to the product of 1x-2 and 6+2x? Explain your answer.
Answers and Step-by-step explanations:
We need to use FOIL (first, outer, inner, last) to solve this.
The first terms of each of the two expressions (2x - 1) and (2x + 6) are 2x and 2x. Multiply these together: 2x * 2x = 4x².
The outer terms are 2x and 6, respectively, and their product is 2x * 6 = 12x.
The inner terms are -1 and 2x, respectively, and their product is -1 * 2x = -2x.
The last terms are -1 and 6, respectively, and their product is -1 * 6 = -6.
Add these together:
4x² + 12x + (-2x) + (-6) = 4x² + 10x - 6
Let's see if this is equal to (1x - 2) * (6 + 2x) by expanding this one using FOIL as well:
The first terms are 1x and 6, respectively, and their product is 1x * 6 = 6x.
The outer terms are 1x and 2x, respectively, and their product is 1x * 2x = 2x².
The inner terms are -2 and 6, respectively, and their product is -2 * 6 = -12.
The last terms are -2 and 2x, respectively, and their product is -2 * 2x = -4x.
Add all these up:
6x + 2x² + (-12) + (-4x) = 2x² + 2x - 12
Clearly, 2x² + 2x - 12 is NOT the same as 4x² + 10x - 6, so (2x - 1)(2x + 6) is not equal to (x - 2)(6 + 2x).
Hope this helps!
Answer:
4x² + 10x - 6
Not equal
Step-by-step explanation:
(2x - 1)(2x + 6)
4x² - 2x + 12x - 6
4x² + 10x - 6
(1x - 2)(6 + 2x)
6x - 12 + 2x² - 4x
2x² + 2x - 12
Not equal
if 8 people share a half pound of pasta how much would each get
Answer: 1/16
Do Keep Change Flip (KCF)
Keep: 1/2
Change: ÷ into ×
Flip: 8/1 into 1/8
Your New Problem Should Be: 1/2×1/8
Multiply
1/2 × 1/8 = 1/16
The amount of pasta each would get is 1/16
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
Do Keep Change Flip (KCF)
Keep: 1/2
Change: ÷ into ×
Flip:
8/1 into 1/8
= 1/2×1/8
Multiply,
1/2 × 1/8 = 1/16
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Use the diagram below to answer the following questions.
Name all segments parallel to XT.
Name all segments parallel to ZY.
Name all segments parallel to ZS.
Name a plane parallel to plane STU.
Name a plane parallel to plane UVZ.
Name all segments skew to SW.
Name all segments skew to UT.
HELPPPPPP PLEASE
Answer:
Segments parallel to XT: YU, ZV, WS
Segments parallel to ZY: VU, WX
Segments parallel to ZS: None
Plane parallel to plane STU: WXY
Plane parallel to plane UVZ: TSW
All segments skew to SW: WX, ST
All segments skew to UT: UY, TX
Step-by-step explanation:
Let's begin by explaining the following:
Two line segments are parallel only if their slopes are identical, allowing them to never intersect.
Hence, according to this definition we have:
Segments parallel to XT: YU, ZV, WS
Segments parallel to ZY: VU, WX
Segments parallel to ZS: None
Now, if we go to the three-dimensional space, two planes are parallel, when they do not share any line, which allows them to never cross in space.
Hence, according to this definition we have:
Plane parallel to plane STU: WXY
Plane parallel to plane UVZ: TSW
Two lines are skew if and only if they are not in the same plane (also known as not coplanar). So, if two lines are not coplanar, they are not parallel and cannot intersect, either.
Hence, according to this definition we have:
All segments skew to SW: WX, ST
WZ and SV do not match the condition, since they are in the same plane where SW is,
All segments skew to UT: UY, TX
UV and ST do not match the condition, since they are in the same plane where UT is.
The following answers can be given as the solution to the given questions:
a) All segments parallel to XT: YU, ZV, WS
b) All segments parallel to ZY: VU, WX
c) All segments parallel to ZS: YT
d) A plane parallel to plane STU: WXY
e) A plane parallel to plane UVZ: TSW
f) All segments skew to SW: ZY, VU, XY, UT
g) All segments skew to UT: SW, WX, VZ, ZY
To give the appropriate answers to the given questions, the following terms must be understood.
i. Parallel lines: Two or more lines are parallel if and only if they do not meet even when extended to infinity.
ii. Skew lines: Two or more skew lines are lines that are neither parallel nor intersecting.
iii. Plane: This is flat surface which can either be in x-axis, y-axis or z-axis.
Therefore, the answers to each of the questions are:
a) All segments parallel to XT: YU, ZV, WS
b) All segments parallel to ZY: VU, WX
c) All segments parallel to ZS: YT
d) A plane parallel to plane STU: WXY
e) A plane parallel to plane UVZ: TSW
f) All segments skew to SW: ZY, VU, XY, UT
g) All segments skew to UT: SW, WX, VZ, ZY
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Consider the data set:
20, 30, 39, 44, 52
How much does 52 deviate from the mean?
Answer:
15
Step-by-step explanation:
mean = 20 + 30 + 39 + 44 + 52 /5
mean = 185 ÷ 5
mean = 37
52 - 37 = 15
The mean of the data set is 37. The number 52 deviates from the mean by 15. Key concepts include mean, deviation, and data set.
Explanation:The first step in answering the question 'How much does 52 deviate from the mean?' is to calculate the mean (also called the average) of the data set. We do this by adding together each of the numbers in the data set and then dividing by the number of elements. The calculation looks like this: (20 + 30 + 39 + 44 + 52) / 5 = 37. Then, to determine how much 52 deviates from the mean, subtract the mean from 52. This gives us: 52 - 37 = 15. So, 52 deviates from the mean by 15. Mean, deviation, and data set are key mathematical concepts related to this question and answer.
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Leona saved $102.50 to buy a computer that is on sale. How much more money does she need to save before she can buy the computer?
1.Total cost of the computer: Let's represent the original price as $x. After an 80% sale, it's 0.8× x.
2. Amount Leona saved: $102.50.
3. Remaining amount needed: Total cost - Amount saved = 0.8 × x - $102.50.
So, Leona needs $102.50 more to afford the computer after her savings.
let's break it down step by step:
1. Find the total cost of the computer: Let's say the original price of the computer is $x, and it's currently on sale. Since Leona saved $102.50, this means the amount she has saved is a part of the total cost of the computer.
2.Calculate the remaining amount needed: We subtract the amount Leona saved from the total cost of the computer to find out how much more money she needs to save.
So, let's go through these steps:
1. Total cost of the computer: Let's represent the original price of the computer as $x. Since the computer is on sale, let's say it's now priced at 80% of its original price.
So, the total cost of the computer after the sale = 0.8 ×x.
2. Amount Leona saved = $102.50.
3. Remaining amount needed = Total cost of the computer - Amount Leona saved.
Let's perform the calculation
Total cost of the computer = 0.8 × x
Amount Leona saved = $102.50
Remaining amount needed = Total cost of the computer - Amount Leona = 0.8 × x - $102.50
So, Leona needs to save $102.50 more to buy the computer.
A frame maker is hired by an art museum to make a special frame for a large rectangle painting. The painting is 3 times as long as it is tall.The expression 2(x+3x) represents the perimeter of the painting, where x represents the length of the short side of the painting in feet. What is the total feet of framing needed if the short side of the painting measures 2.6 feet?
We have been given that the painting is 3 times as long as it is tall.The expression [tex]2(x+3x)[/tex] represents the perimeter of the painting, where x represents the length of the short side of the painting in feet.
To find the the amount of framing needed when short side of the painting measures 2.6 feet, we will substitute [tex]x=2.6[/tex] in our given expression.
We can simplify our expression as:
[tex]2(x+3x)=2(4x)[/tex]
[tex]2(4x)=2(4\times 2.6)[/tex]
[tex]2(4x)=2(10.4)[/tex]
[tex]2(4x)=20.8[/tex]
Therefore, a total of 20.8 feet of framing is needed.
By using the given expression 2(x+3x) and substituting the short side measurement of 2.6 feet, we find that the total framing needed is 20.8 feet for the large rectangle painting.
Explanation:To calculate the total framing needed for the painting, we start by using the expression 2(x+3x), which represents the perimeter of the painting. Given that the short side (x) of the painting measures 2.6 feet, we substitute x with 2.6 feet in the expression, resulting in 2(2.6 feet + 3(2.6 feet)), which simplifies to 2(2.6 feet + 7.8 feet). This gives us 2(10.4 feet), equaling 20.8 feet of framing that is needed.
The dimensions of the painting are based on the fact that the painting is three times as long as it is tall.
The short side is the height of the painting, and the long side, therefore, is 3 times the short side. Since the painting is a rectangle, we apply the formula for the perimeter of a rectangle, which is P = 2(length + width), to get the overall framing length.
please help PLEASE
Which equations are equal to this equation? 14(8x + 56) = 20
Answer:
x = - 191/28
Step-by-step explanation:
14 (8x + 56) = 20
112x + 784 = 20
112x = 20 - 784
112x = - 764
x = - 764/112
x = - 191/28
Answer:
Here are a few equivalent equations:
112x + 784 = 20
112x = -764
x = -6.82
Step-by-step explanation:
14(8x + 56) = 20
Multiply
112x + 784 = 20
Subtract 784 from both sides of the equation
112x = -764
x = -6.82
Hope this was useful to you!
Right △EFG has its right angle at F, EG=8 , and FG=2 .
What is the value of the trigonometric ratio of an angle of the triangle?
tan E
sin G
sec G
In triangle EFG, the right angle is at F. Using the Pythagorean theorem, we can find the length of the hypotenuse and use it to calculate the trigonometric ratios.
Explanation:In triangle EFG, the right angle is at F. Given that EG = 8 and FG = 2, we can use the Pythagorean theorem to find the length of EF. Using the formula a^2 + b^2 = c^2, where a and b are the lengths of the legs and c is the length of the hypotenuse, we can calculate that EF = sqrt((EG^2) + (FG^2)) = sqrt((8^2) + (2^2)) = sqrt(64 + 4) = sqrt(68).
To find tan E, we can use the ratio of the opposite side (FG) to the adjacent side (EG). tan E = FG/EG = 2/8 = 1/4.
To find sin G, we can use the ratio of the opposite side (FG) to the hypotenuse (EF). sin G = FG/EF = 2/sqrt(68).
To find sec G, we can use the ratio of the hypotenuse (EF) to the adjacent side (EG). sec G = EF/EG = sqrt(68)/8.
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2x + 5
Find the val
3x+15
Answer:
Step 1: Find the x
2x + 5: Solve
[tex]2x + 5 - 5 = 0 - 5[/tex]
[tex]2x / 2 = -5 / 2[/tex]
[tex]x = -5/2[/tex]
3x + 15: Solve
[tex]3x + 15 - 15 = 0 - 15[/tex]
[tex]3x / 3 = -15 / 3[/tex]
[tex]x = -5[/tex]
PLEASE ANSWER ASAP!!!
WHAT SHOULD 2.33 BE MULTIPLIED BY TO MAKE IT INTO A WHOLE NUMBRR??
Answer:
2.331 = (2.33 × 100)(1 × 100) = 233100. As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 233100 is also equal to 233100 when expressed as a mixed number.
Step-by-step explanation:
or mutilpy by 100
Answer:
2.33 * 100 because
2.33*100=233
Please help!
I really can't figure it out.
Answer:
x = 5 (pleaaaaaase give branliest)
Step-by-step explanation:
An equilateral triangle is a triangle that has all congruent sides
This means that 30 = 4x + 10
30 - 10 = 4x
20 = 4x
20/4 = x
x = 5
Hope this helps
Answer:
x=5
Step-by-step explanation:
All sides are equal length because it is an equilateral triangle.
30 = 4x+10
Subtract 10 from each side
30-10= 4x+10-10
20 =4x
Divide each side by 4
20/4 = 4x/4
5 =x
Help me!!!!!!.......
Answer:
D
Step-by-step explanation:
The highest point is the vertex, (-3,5), making all y-values less than or equal to 5.
What are the solutions to the equation x2 + 4x + 5 = 0?
Math math help very urgent please Q5 and Q6
Answer: 10
Step-by-step explanation:
Answer: the answer is 10
PLEASE HELPPP >>>>> There are twenty classes at Northwestern Middle School and twenty classes at Southeastern Middle School. The number of students in each class at each school is shown in the dot plots below.
Number of Students in Each Class at Northeastern Middle School
A dot plot. A number line going from 20 to 29 labeled Number of Students. There are 3 dots above 20, 5 above 21, 7 above 22, 4 above 23, 1 above 24, and 0 above 25, 26, 27, 28, and 29.
Number of Students in Each Class at Southeastern Middle School
A dot plot. A number line going from 20 to 29 labeled Number of Students. There is 1 dot above 20, 2 above 21, 2 above 22, 4 above 23, 3 above 24, 2 above 25, 2 above 26, 2 above 27, 1 above 28, and 1 above 29.
Michela says that the modes of the two data are the same so the median and mean must also be the same. What is Michela’s error?
A. The modes are not the same.
B. The means and medians are not the same.
C. Only the modes and the medians are the same.
D. Only the modes and the means are the same.
Answer:
the answer above is incorrect im sorry i dont know the answer i wish i could help more god bless have a wonderful day
Step-by-step explanation:
3. Use an inequality symbol (<, >, 2, =) to compare -26_54
OOOO
O A.<
O B. =
O c.
O D.>
It would be A or < since 54 is positive and -26 isn't, that makes 54 greater than -26.
the highest point in argentina is 6960 meters above sea level. the lowest point is 105 meters below sea level. What is the difference in meters between the highest and lowest elevation points?
Answer:
Step-by-step explanation:
It will be 6855 because it’s telling you the difference of them so you subtract to see
The difference in meters between the highest and lowest elevation points 7065 meters.
What are integers?Integers include all whole numbers and negative numbers. This means if we include negative numbers along with whole numbers, we form a set of integers.
An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero. A few examples of integers are: -5, 0, 1, 5, 8, 97, and 3,043. A set of integers, which is represented as Z, includes:
Positive Numbers: A number is positive if it is greater than zero. Example: 1, 2, 3 . . .
Negative Numbers: A number is negative if it is less than zero. Example: -1, -2, -3 . . .
Zero is defined as neither a negative number nor a positive number. It is a whole number.
Z = {... -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, ...}
Given:
highest point= 6960 meters above sea level.
lowest point = 105 meters below sea level.
Considering integers
highest points= +6960
lowest point= -105
So, difference in meters between the highest and lowest elevation points
= 6960 - (-105)
=6960+ 105
= 7065 meters
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Which is the equation of a line with a slope of -1/3 and a yintercept at (0, 1)?
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36
Answer:
x^2 + (y – 3)^2 = 36
Step-by-step explanation:
The standard equation of a circle with center at (h, k) and radius r is
(x - h)^2 + (y - k)^2 = r^2.
If the center lies on the y-axis, then h = 0: (x - 0)^2 + (y - k)^2 = r^2
If the circle diameter is 12, then the circle radius is 6, and so r^2 = 36
So, among the given equations, your
x^2 + (y – 3)^2 = 36 is correct (but only if you use " ^ " for exponentiation).
The equations that represent circles with a diameter of 12 units and a center on the y-axis are x² + (y - 6)² = 36 and x² + (y + 6)² = 36.
Explanation:The equations that represent circles with a diameter of 12 units and a center on the y-axis are:
x² + (y - 6)² = 36x² + (y + 6)² = 36To determine if an equation represents a circle, we need to check if the equation follows the standard form of a circle equation, which is (x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius. In this case, since the center lies on the y-axis, the x-coordinate of the center is 0, and we only need to consider the y-coordinate.
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Which is more, 2 pound or 22 ounces
Answer:
2 pounds. Two pounds is 32 oz. so if 22 oz. is less than 32 (which it obviously is), 2 pounds is more.
Answer:
2 pounds
Step-by-step explanation:
What is the value of the expression-7 3/4 + 3 1/2
Answer:
45/4 or 11.25 or 11 1/4
Step-by-step explanation:
Answer:
Step-by-step explanation:-15/4
-15/4
Joanne buys a rectangular rug with an area of 35/4 square meters. The length of the rug is 7/2 meters. What is the with, in meters, of the rug? Answer in fraction pls!!
Answer: 5/2 meters
Step-by-step explanation:
You can find the area of a rectangle using this equation:
A = bh, where b is the base (length) and h is the height.
So, your rectangle is:
[tex]\frac{35}{4} = \frac{7}{2}h[/tex]
You can then divide both sides by 7/2 to find h.
[tex]\frac{\frac{35}{4}}{\frac{7}{2}}[/tex]
To divide, you can flip the fraction in the denominator to multiply:
[tex]\frac{35}{4}*\frac{2}{7}[/tex]
So, your width is 70/28. You can divide both sides by 14 to get 5/2.