X=2: 16+5-10=11 21-10=11=11=11
Combine Like Terms: 11 = 8x + 5 - 5x
First combine the ones with variables:
11 = 3x +5
Then combine ("move") 5 to 11.
6=3x
Divide.
Final Answer
2=x
Hope that helps :)
-edited-
If a strip is 10 times as big as the unit and the mat is 100 times as big as the strip, how many times is the mat bigger as the unit?
A strip is x10 of the unit
A mat is x100 of the strip.
Multiply 10 with 100
100 x 10 = 1000
The mat is x1000 of the unit.
hope this helps
Given that the strip is 10 times as big as the unit and the mat is 100 times as big as the strip, the mat is 1000 times bigger than the unit. This illustrates the concept of multiplication with powers of ten in real measurements.
Explanation:The question asks how many times the mat is bigger than the unit, given that the strip is 10 times as big as the unit and the mat is 100 times as big as the strip.
This maths problem involves the multiplication of sizes. Here's the step-by-step solution:
Each strip is 10 times as big as the unit, so if we assign U as the unit, the strip would be 10U. The mat is 100 times as big as the strip, which has been defined as 10U, so the mat would be 100 * 10U = 1000U.
Therefore, the mat is 1000 times bigger than the unit. This exhibits how we deal with real measurements and the use of powers of ten in multiplication.
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Ella swims four times a week at her club's pool. She swims the same number of laps on Monday, Wednesday, and Friday, and 15 laps on Saturday. She swims a total of 51 laps each week. How many laps does she swim on Monday?
If a+b=−2a + b = -2a+b=−2a+b= -2 and x+y =−2 what is 4x+5a+4y+5b?
[tex]a + b = -2\ and\ x + y = -2\\\\4x + 5a + 4y + 5b = (4x + 4y) + (5a + 5b) = 4(\underbrace{x + y}_{=-2}) + 5(\underbrace{a + b}_{=-2})\\\\=4(-2)+5(-2)=-8+(-10)=-18[/tex]
a wheel has 16 spokes. How many spaces are there between the spokes?
One warehouse had 185 tons of coal, another one had 237 tons. The first warehouse delivered 15 tons of coal to its clients daily, the second one delivered 18 tons of coal to its clients daily. In how many days will the second warehouse have 1.5 times more coal than the first one? I NEED THIS IN 5 MINS
Given
One warehouse had 185 tons of coal, another one had 237 tons
The first warehouse delivered 15 tons of coal to its clients daily, the second one delivered 18 tons of coal to its clients daily.
Find out in how many days will the second warehouse have 1.5 times more coal than the first one.
To proof
Let us assume that the number of days of delivered the coal = x
Take two cases
First case
As given in the question
One warehouse had coal = 185 tons
The first warehouse delivered 15 tons of coal to its clients daily
(As first warehouse delivered 15 tons of coal to its clients daily than the total amount of coal decrease daily as days increase)
Than the equation becomes for first warehouse
= ( 185 - 15x)
( this equation represent the amount of coal left after x days)
Second case
second warehouse had coal = 237 tons
the second one delivered 18 tons of coal to its clients daily.
(As first warehouse delivered 18 tons of coal to its clients daily than the total amount of coal decrease daily as days increase)
Than the equation becomes for the second warehouse
= ( 237 - 18x)
( this equation represent the amount of coal left after x days)
As given in the question
the second warehouse have 1.5 times more coal than the first one
Thus
( 237 -18x ) = 1.5× ( 185 - 15x)
237 - 18x = 277.5 - 22.5x
22.5x - 18x = 277.5 - 237
4.5x = 40.5
x = 9
Therefore the second warehouse have 1.5 times more coal than the first one in 9 days.
Hence proved
What's 5/6 of a gallon?
5x-x/y when x=4 and y=2
5x-x/y when x=4 and y=2
5(4)-4/2
20-2
18
what is the contrapositive of the following statement
The Contrapositive of the statement 'If two triangles are congruent, then their corresponding angles are congruent' is: If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.
The contrapositive of the statement 'If two triangles are congruent, then their corresponding angles are congruent' is:
If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.
The contrapositive of a conditional statement exchanges the hypothesis and conclusion, and negates both.
In this case, we negate the hypothesis 'two triangles are congruent' and the conclusion 'their corresponding angles are congruent.'
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Need some help on this
The easiest way to do this is to choose one point from image A. (I am going to choose (-5, -2). Now, where did that point move to in image A'? (1, 7)
How did the coordinates change?
The x-coordinator changed from -5 to 1 so it moved 6 units to the right.
The y-coordinates changed from -2 to 7 so it moved 9 units up.
When doing this with a graph, you can just count the units. I only provided the coordinates to help you follow my explanation.
Answer: B
The density of gold is 19.3 g/cm3. What is the density in kilograms per cubic meter? A. 1.93 x 102 kg/m3 B. 1.93 x 104 kg/m3 C. 1.93 x 108 kg/m3 D. 1.93 x 10–1 kg/m3
The density of gold in kilograms per cubic meter is 1.93 x 10³ kg/m³.
Explanation:The density of gold is 19.3 g/cm³. To find the density in kilograms per cubic meter (kg/m³), we need to convert grams to kilograms and cubic centimeters to cubic meters.
1 g/cm³ = 1000 kg/m³.
Therefore, the density of gold in kg/m³ is 19.3 x 1000 = 1.93 x 10³ kg/m³.
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Patrick has just finished building a pen for his new dog. The pen is 3 feet wider than it is long. He also built a doghouse to put in the pen which has a perimeter that is equal to the area of its base. After putting the doghouse in the pen, he calculates that the dog will have 178 square feet of space to run around inside the pen. He also finds that the perimeter of the pen is 3 times greater than the perimeter of the doghouse.
If x represents the length of the pen and y represents the area of the doghouse, then which of the following systems of equations can be used to determine the length and width of the pen and the area of the doghouse?
What is the decimal expansion for 1/9
The decimal expansion of 1/9 is 0.1111..., which continues indefinitely. This is achieved by dividing the numerator (1) by the denominator (9). The decimal expansion of a fraction is the expression of that fraction in base 10 notation.
Explanation:The decimal expansion of the fraction 1/9 is 0.1111.... This is achieved by dividing the numerator (1) by the denominator (9). The process of long division would show you that 9 doesn't go into 1, so you add a decimal point and a zero, making the dividend 10. 9 goes into 10 once, so you put a 1 in the quotient above the line. This process repeats itself due to the nature of the divisor 9 and the decimal 0.1111... continues indefinitely.
It's important to note that the decimal expansion of a fraction is an expression of that fraction in base 10 notation. In other words, it is the fraction expressed as a decimal.
For some numbers, this can be a finite number of digits long, and for others, like 1/9, it can be infinitely repeating.
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Evaluate
4
E (2n-1)
n=1
16
the simplest way to evaluate is to substitute n = 1, 2, 3, 4 into the expression and sum the terms
= [(2 × 1) - 1 ] + [(2 × 2) - 1 ] + [(2 × 3) - 1] + [(2 × 4) - 1]
= 1 + 3 + 5 + 7 = 16
Members of a junior high basketball team want to brag about how tall they are. First, they measured each player’s height in inches. Now they have to decide whether the mean or the median is better. Which measure of center should the team use? Basketball team’s height (in inches) 64, 67, 83, 65, 66, 62, 69
First to find the median we need to put the numbers in order from least to greatest.
62, 64, 65, 66, 67, 69, 83
Now take a number from each side
64, 65, 66, 67, 69
Once again.
65, 66, 67
On last time
66
So the median is 66.
Now to find the mean we must add all the numbers up
64+67+83+65+66+62+69
which equals 476
Now divide 476 by the total number of heights which is 7
476/7=68
So the mean is 68
Answers: Mean; 68 Median; 66
Answer:
it's 68,66, and mean
Step-by-step explanation:
i did it on edge mu hehehehehehe
How many solutions are there to the equation below |x|=77?
[tex]Solution, \left|x\right|=77\quad :\quad x=-77\quad \mathrm{or}\quad \:x=77[/tex]
Steps:
[tex]\left|x\right|=77[/tex]
[tex]|f\left(x\right)|=a\quad \Rightarrow \:f\left(x\right)=-a\quad \mathrm{or}\quad \:f\left(x\right)=a, |f\left(x\right)|=a\quad \Rightarrow \:f\left(x\right)=-a\quad \mathrm{or}\quad \:f\left(x\right)=a[/tex]
The correct answer is C. 2
Hope this helps!!!
<3 -austint1414
The equation |x| = 77 has two solutions: x = 77 and x = -77. This is because the absolute value of a number reflects its distance from zero, regardless of the direction.
Explanation:The equation |x| = 77 has two solutions. This is because the absolute value of a number is its distance from zero on a number line, regardless of the direction. Therefore, both 77 and -77 have an absolute value of 77.
To solve for x, you would set up two equations based on the definition of absolute value:
x = 77-x = 77, which simplifies to x = -77So, the two solutions to the equation |x| = 77 are x = 77 and x = -77.
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y=8-2x when x=8 the value of y
Answer:
-8
Step-by-step explanation:
Given that x and y are two variables. they are related by the function
y =8-2x
Since x and y are related, given one value we can find the other using this equation.
In our question, given that x =8
Substitute x value in the equation
y = 8-2x
y =8-2(8) = -8
Hence answer is -8:
Verify: We verify by putting -8 for y and check whether x =8
-8=8-2x
Or 2x = 16
x =8
Verified
which soil can not be rolled up into balls or clumps
Sand
Because as you may be able to see it just goes through your fingers.
For example if you go to the beach and pick up a handful of sand, then let go. It will most likely fall out of your hands.
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A principal of $1,000 is invested in an account paying an annual interest rate of 6%.
A(t) = P(1+(r/n))^(nt)
A(5) = 1000(1+0.12/2)^(2*5)
A(5) = 1000(1.06)^(10)
A(5) = $1790.85
1000 x 6%= 1000 x .06
1000 x .06 = 60
The principal is getting $60 every year for their annual interest rate.
Hope I helped!
Good Luck!
If 2 rectangles have the same perimeter do they have to he congruent
Hey there!
Your answer is no.
I'll give an example to prove this wrong for you.
We have one rectangle with the dimensions of 2 x 6 units and another rectangle with dimentions of 4 x 4 units.
The perimiter of the first one is 16 because the four sides added up is 16: 2 + 2 + 6 + 6 = 16
The perimiter of the second is also 16. 4 + 4 + 4 + 4 = 16
So, they both have the same perimeter, but they are not congruent because their sides are different lengths.
Hope this helps!
if five times a number is subtracted from 39 the result is the same as eight times the number what is the number
39 - 5x = 8x
Add 5x to both sides.
39 = 13x
Divide both sides by 13.
x = 3
What is the perimeter of the park?
We are given a triangle with dimensions of the three sides as :
first side: 10x+3x²-8 feet
second side: 12x feet
third side: (15x+4) feet
Now perimeter of triangle is given by:
Perimeter = sum of three sides
So adding the three sides:
Perimeter = 10x+3x²-8 + 12x +15x+4
combining like terms and simplifying:
Perimeter = 3x²+37x-4
Answer: The perimeter of park will be (3x²+37x-4) feet.
kind of struggling, can anyone help?
A triangle has an angle that measures 90°. What type of triangle could it be? (Choose all that apply)
scalene
acute
isosceles
right
Right and scalene. A right triangle has an angle that measures to be 90° and using the pythagorean theorem, we know that the triangle is scalene, meaning that all three sides have different side lengths. (:
3² + 4² = 5²
A triangle has an angle that measures 90° is a right angle triangle that is option D is correct.
What is a Triangle?Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
Types of the triangle are as follows:
Equilateral triangleIsosceles triangleRight-angle triangle1. Equilateral triangle
It is the triangle in which all three sides are equal. And each angle is 60°.
2. Isosceles triangle
It is a triangle in which two sides are equal.
3. Right angle triangle
It is a type of triangle in which one angle is 90° and it follows the Pythagoras theorem and we can use the trigonometry function.
More about the triangle link is given below.
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-1/4u+3/2=-6 solve for U
[tex]-\dfrac{1}{4}u+\dfrac{3}{2}=-6\qquad|\cdot4\\\\\not4^1\cdot\left(-\dfrac{1}{\not4_1u}\right)+\not4^2\cdot\dfrac{3}{\not2_1}=4\cdot(-6)\\\\-u+2\cdot3=-24\\\\-u+6=-24\qquad|-6\\\\-u=-30\qquad|\cdot(-1)\\\\\boxed{u=30}[/tex]
so There are 17 girls and 119 boys on a class field trip to the museum. The students need to be broken up into the largest possible groups so that each group contains the same number of students. Each group must be all girls or all boys. How many students should be in each group?
1 student in each group with 126 groups in total
Dmitry runs 3.1 miles on Saturday,shown by the model. He runs 2.45 on Sunday. How much farther does he run on Saturday
Answer:
0.65 miles.
Step-by-step explanation:
Dmitry runs 3.1 miles on Saturday.
He runs 2.45 miles on Sunday.
On Saturday he runs 3.1 - 2.45 = 0.65 miles farther.
Dimitry ran 0.65 miles farther on Saturday than that during Sunday.
Distance travelled in miles by Dmitry on Saturday, d₁ = 3.1 miles
Distance travelled in miles by Dmitry on Sunday, d₂ = 2.45
The difference in the distance travelled by Dimitry during Saturday and Sunday can be calculated by subtracting the distance travelled on Sunday from that during Saturday.
Subtraction is the activity or process of determining the difference between two amounts or numbers. The phrase taking away one number from another is also used to describe the act of subtracting one number from another.
So,
The difference between the distances, d = d₁ - d₂
d = 3.1 - 2.45
d = 0.65 miles
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Teresa says she stacks about 7 dishes by hand every minute.
What line represents Teresa’s statement?
Line a
Line b
Line c
Line d
What is the slope of the line and what does it mean in this situation?
What is the slope of the line and what does it mean in this situation?
The slope is –2000 . This means that the helicopter descends 2000 ft each minute.
The slope is –400 . This means that the helicopter descends 400 ft each minute.
The slope is 400. This means that the helicopter ascends 400 ft each minute.
The slope is 2000. This means that the helicopter ascends 2000 ft each minute.
Line D Represents Teresa's statement
I think the slope could be choice 4 The slope is 400ft This means that the Helicopter ascends 400ft a minute
[tex] \frac{4}{9}x = \frac{1}{6} [/tex]
5d-4=4-d
solve the equation
Answer: d = 0
Step-by-step explanation:
5d - 4 = 4 - d
+d +d
____________
6d - 4 = 4
-4 -4
__________
6d = 0
__ __
6 6
d = 0
[tex]5d-4=4-d\\\\6d=8\\\\d=\dfrac{8}{6}=\dfrac{4}{3}[/tex]
Write an equation for the relationship between time and distance for each horse
An equation for the relationship between time and distance for each horse include the following;
horse A; y = 1/4(x).
horse B; y = 5/2(x).
What is a proportional relationship?In Mathematics and Geometry, a proportional relationship is a type of relationship that passes through the origin (0, 0) and produces equivalent ratios as represented by the following mathematical equation:
y = kx
Where:
y represents the y-variable or distance.x represents the x-variable or time.k is the constant of proportionality.Next, we would determine the constant of proportionality (k) for each horse by using various data points as follows:
Constant of proportionality, k = y/x
Constant of proportionality, k of A = 1/4 = 8/2
Constant of proportionality, k of B = 5/2 = 10/4.
Therefore, the required linear equation for horse A is given by;
y = kx
y = 1/4(x)
Also, the required linear equation for horse A is given by;
y = kx
y = 5/2(x)
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