An equation is formed of two equal expressions. The value of x for which the equation has a solution is 1.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution for 10x+16=6x+20 is,
10x + 16 = 6x + 20
10x - 6x = 20 - 16
4x = 4
x = 1
Hence, the value of x for which the equation has a solution is 1.
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Paula ran
3
1
4
kilometers. Omar ran
4,200
meters.
Part A
Who ran farther and by how much?
A.
Omar ran 950 meters farther than Paula.
B.
Paula ran 950 meters farther than Omar.
C.
Omar ran 3,875 meters farther than Paula.
D.
Paula ran 3,875 meters farther than Omar.
Part B
What is the total number of centimeters Omar and Paula ran?
A.
45,250 centimeters
B.
74,500 centimeters
C.
452,500 centimeters
D.
745,000 centimeters
HELP ME
Omar ran 950 meters farther than Paula. Option A is correct.
The total number of centimeters they both ran is 745000 centimeters. Option D is correct.
How do we determine the distance between two objects?The distance between two objects can be determined by finding their difference.
From the given information:
Paula ran 3 1/4 kilometersOmar ran 4200 metersThe way to solve this is by converting all the distances to meters.
Paula = 3250 metersOmar = 4200 metersDifference in their distance = (4200 - 3250) metersDifference in their distance = 950 meters.The total number of centimeters they both ran is:
= (420000+325000) centimeters
= 745,000 centimeters
Therefore, we can conclude that Omar ran 950 meters farther than Paula. The total number of centimeters they both ran is 745000 centimeters.
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Answer:
Omar ran 950 meters farther than Paula. Option A is correct.
The total number of centimeters they both ran is 745000 centimeters. Option D is correct.
How do we determine the distance between two objects?
The distance between two objects can be determined by finding their difference.
From the given information:
Paula ran 3 1/4 kilometers
Omar ran 4200 meters
The way to solve this is by converting all the distances to meters.
Paula = 3250 meters
Omar = 4200 meters
Difference in their distance = (4200 - 3250) meters
Difference in their distance = 950 meters.
The total number of centimeters they both ran is:
= (420000+325000) centimeters
= 745,000 centimeters
Therefore, we can conclude that Omar ran 950 meters farther than Paula. The total number of centimeters they both ran is 745000 centimeters.
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Step-by-step explanation:
If log 3 = x and log 5 = y, express log 45 in terms of x and y.
A. 2xy
B. 2y+x
C. 2x-y
D. 2x+y
Answer:
I believe that the answer is A
You have a glass paperweight that is shaped like a cone. The diameter of the paperweight is 7 centimeters. The slant height is 4 centimeters. Find the surface area of the cone. Use 3.14 to approximate pi.
Step-by-step explanation:
please mark me as brainlest
There are no solutions to the system of inequalities shown belo
y<-2x+7
y > 3x + 1
A. True
B. False
Answer:
False
Step-by-step explanation:
Here's a simple little trick to tell wether a system of inequalities has any solutions or not, just by looking at it:
If the slopes are the same but the y-intercepts are different, the system has no solutions. If the slopes are different, the system has only one solution. If the slopes are the same and the y-intercepts are the same, then the system has infinitely many solutions.By following this logic, since the system given has different slopes, it only has one solution. Therefore your answer is false.
Hope this helps you.
Gerald has a punch bowl in the shape of a hemisphere as shown below.
One cup is equivalent to approximately 15 cubic inches. Which of the following is closest to the maximum number of cups the punch bowl can hold?
A. 60 cups
B. 45 cups
C. 30 cups
D. 18 cups
The closest to the maximum number of cups the punch bowl can hold is 30
How to determine the number of cups?The given parameters are:
1 cup = 15 cubic inches
Diameter of bowl, d = 12 inches
The radius is the half of the diameter.
So, we have:
r = 6
The volume of the bowl is then calculated using:
[tex]V = \frac{2}{3}\pi r^3[/tex]
This gives
[tex]V = \frac{2}{3}\pi * 6^3[/tex]
Evaluate
V = 452.16
The maximum number of cups is then calculated using:
Cups = 452.16/15
Evaluate
Cups = 30.1444
Approximate
Cups = 30
Hence, the closest to the maximum number of cups the punch bowl can hold is 30
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If there are 300 houseflies in the study, how many of them will live longer than 21 days?
The 48 flies of them will live longer than 21 days if there are 300 houseflies in the study.
What is a normal distribution?It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.
We have mean u = 18 days
SD = 3 days
X = 21 days
From the formula:
Z = (X - u)/SD
Z = (21 - 18)/3 = 1
P(x<21) = 0.84134
P(x>21) = 1 - P(x<21) = 0.15866
Number of flies = 300×0.15866 = 47.59 ≈ 48 flies
Thus, the 48 flies of them will live longer than 21 days if there are 300 houseflies in the study.
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two chips are drawn at random and withoit replacement from a bag containing four blue chips and three red chips. find the probability of drawing two red chips.
The probability of getting two red chips is:
P = 1/21.
How to get the probability?
The probability of getting a red chip is equal to the quotient between the number of red chips and the total number of chips.
There are 4 blue chips and 3 red chips, for a total of 7 chips.
For the first draw, the probability of getting a red one is:
p = 3/7.
For the second draw, now there are 2 red chips and 6 chips in total, so now the probability is:
q = 2/6 = 1/3
Then the joint probability, given by the product between the two individual probabilities, is:
P = q*p = (3/7)*(1/3) = 1/21.
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Please help Anyone I'm seriously almost done
Answer:
[tex]\textsf{x = 45}[/tex]
Here, the given 2 angles are complementary angles. The sum is 90 degrees as indicated by the right angle symbol.
[tex]\textsf {Solving :}[/tex]
[tex]\implies \textsf{x - 2 + 47 = 90}[/tex]
[tex]\implies \textsf{x + 45 = 90}[/tex]
[tex]\implies \textsf{x = 45}[/tex]
The 7 in which number represents a value of 0.7
The 7 in which number represents a value of 0.7
*903038393JKLSi933003
9=28
when 834 nine=365 and 7The 7 in which number represents a value of 0.7
*903038393JKLSi933003
9=28
when 834 nine=365 and 7
Answer:
THE ANSWER IS C
Step-by-step explanation:
just add it it and find it 0.007
The financial analysis component of a business plan is to describe ______.
a. how your business will be organized and what type of management or department structure
your business will have
b. the ?big picture? behind your business, what your business has to offer the consumer, and
why your business will be successful
c. the size of the market, how your business will fit into the market, and how your business will
stand out from other businesses in the market
d.
where the funds to start and operate your business will come from, when you expect to see
profit, and how much profit you expect to see
Please select the best answer from the choices provided
A
B
C
D
Answer:
D where the funds to start and operate your business.........
estimate the percentage 66 2/3% of 2,600
The estimate of the percentage expression 66 2/3% of 2,600 is 1733.33
How to estimate the percentage expression?The expression is given as:
66 2/3% of 2,600
Rewrite as:
66 2/3% * 2,600
Express the fraction as an improper fraction
200/3% * 2,600
Remove the percentage sign
200/300 * 2,600
Evaluate the product
1733.33
Hence, the estimate of the percentage expression 66 2/3% of 2,600 is 1733.33
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Please help me with this im very confused
Answer:
Step-by-step explanation:
Angle sum property of triangle1) Let the unknown angle = x
x + 43 + 90 = 180
x + 133 = 180
x = 180 -133
[tex]\sf \boxed{\bf x = 47^\circ}[/tex]
2) x + 88 + 30 = 180
x + 118 =180
x = 180 - 118
[tex]\sf \boxed{\bf x = 62^\circ}[/tex]
3) x + 98 + 40 = 180
x + 138 = 180
x = 180 - 138
[tex]\sf \boxed{\bf x = 42^\circ}[/tex]
The equation of a line is given below. =−4x3y−3 Find the slope and the y-intercept. Then use them to graph the line.
The slope of the line is the negative 4/3 and y-intercept will be the negative 1.
The correct equation is given below.
−4x − 3y = 3
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The equation of the line will be
−4x − 3y = 3
Then the equation of a line can be written as
4x + 3y = −3
3y = −4x − 3
y = −(4/3)x − 1
Then the slope of the line is the negative 4/3 and y-intercept will be the negative 1.
The graph is given below.
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The price of a gallon of milk increased by 9 cents. This represented a price increase of 2%. What was the original price of the milk?
Answer:
$ 4.50
Step-by-step explanation:
2% of the price = 9 cents
.02 x = 9
x = 9 / .02 = 450 cents or $4.50
What is the graph of the system?
y> -x + 3
-2x+y<-1
Step-by-step explanation:
Hopefully this is helpful?
write 168 as the product of prime numbers
Answer:
2 × 2 × 2 × 3 × 7
Step-by-step explanation:
I need a little help here
Find the HCF of ax3y and bx4y3
Step-by-step explanation:
First expression ...
[tex] = {ax}^{3} y[/tex]
[tex] = a \times x \times x \times x \times y[/tex]
Second expression.....
[tex] = b {x}^{4} {y}^{3} [/tex]
[tex] = b \times x \times x \times x \times x \times y \times y \times y[/tex]
HCF = common factor...
[tex] = x \times x \times x \times y[/tex]
[tex] = {x}^{3} y[/tex]
[tex]hence \: {x}^{3} y \: is \: the \: answer....[/tex]
Answer: HCF =
x³y
Step-by-step explanation:
HCF of ax³y and bx⁴y³
ax³y = a . x . x . x . y
bx⁴y³ = b . x . x . x . x . y . y . y
Common Factors = x . x . x . y
HCF = x . x . x . y
HCF = x³y Answer
therefore, the HCF of ax³y and bx⁴y³ is x³y.
hope that helps...
note: the dot (.) represents multiplication.
Please answer this question
Answer:
Step-by-step explanation:
Triangle ABC is an isosceles triangle. Angles B and C are base angles, with measurements of (11x −10)° and (7x + 10)°, respectively. What is m∠A?
Group of answer choices
90°
85°
35°
5°
Answer:
m∠A = 90°
Step-by-step explanation:
In isosceles triangle base angles are congruent. That means we can equate measurments of angle B and angle C and solve for x!
m∠B = m∠C
11x - 10 = 7x + 10
4x - 10 = 10
4x = 20
x = 5
Now let's insert x back in the expressions for angles.
m∠B = (11x − 10)° = (11(5) − 10)° = 45°
m∠C = (7x + 10)° = (7(5) + 10)° = 45°
Sum of all angles in the triangle is 180°. Let's make an equation.
m∠A + m∠B + m∠C = 180°
m∠A + 45°+ 45° = 180°
m∠A = 90°
ƒ(1) = −6
f(2)= -4
f(n) = f(n-2) + f(n-1)
f(3) =
Please help!!!!!!
Answer:
f(3) = - 10
Step-by-step explanation:
given
f(n) = f(n - 2) + f(n - 1) , then
f(3) = f(3 - 2) + f(3 - 1) = f(1) + f(2) = - 6 + (- 4) = - 6 - 4 = - 10
[tex]f(3)=f(1)+f(2)=-6+(-4)=-10[/tex]
Find the perimeter of each of the regular polygons described below.
a. A square with sides measuring 6 centimeters
b. An equilateral triangle with sides measuring 7 inches
c. A regular heptagon with sides measuring 4 feet
d. A regular nonagon with sides measuring 9 inches.
find x
give your answer to 3 significant fingers
Answer:
1.64
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
6.6^2 + x^2 = 6.8^2
43.56+x^2=46.24
Subtract 43.56 from each side
x^2 = 46.24-43.56
x^2 =2.68
Take the square root of each side
sqrt(x^2) = sqrt(2.68)
x =1.637080554
To 3 significant digits
x = 1.64
Answer:
Step-by-step explanation:
x = 1.637 mm
Pythagorean theorem:We can use Pythagorean theorem, to find the unknown side for a right angled triangle.
The side opposite to 90 is the longest side and it is the hypotenuse.
Base² + altitude² = hypotenuse²
x² + 6.6² = 6.8²
x² + 43.56 = 46.24
x² = 46.24 - 43.56
x² = 2.68
x = √2.68
[tex]\sf \boxed{\bf x = 1.637 \ mm }[/tex]
The graph of a quadratic function intercepts the x-axis in two places and the y-axis in one place.
According to the fundamental theorem of algebra, which of the following statements is correct?
The true statement about the quadratic function is that it has two distinct real zeros
How to interpret the quadratic function?The given parameters are:
x-intercepts = 2 i.e. intercepts the x-axis in two placesy-intercept = 1 i.e. intercepts the y-axis in one placeThe first highlight above means that, the function can be represented as:
y = a(x - x1)(x -x2)
Where x1 and x2 are the x-intercepts
This also means that the quadratic function has two distinct real zeros
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x = 3 - 2y
y = -1/2x+3/2
Answer:
let numbers be=x -3=3-x × 4(3-x) x=8 hence 12 -4x=8 = 12-8
This season, the probability that the Yankees will win a game is 0.52 and the
probability that the Yankees will score 5 or more runs in a game is 0.53. The
probability that the Yankees lose and score fewer than 5 runs is 0.39. What is the
probability that the Yankees will lose when they score 5 or more runs?
Answer:
The probability of scoring fewer than 5 runs when they win is P = 0.19
How to find the probability?
We know that:
The probability of winning a game is p = 0.53
The probability of scoring 5 or more runs is q = 0.59
The probability of winning and scoring 5 or more runs is k = 0.43
Notice that the joint probability is different than the product of the individual probabilities, this means that the events are not independent.
So, we know that the probability of winning is 0.53
Now, given that they win, the probability of scoring 5 or more times will be q' such that:
0.53*q' = 0.43
q' = 0.811
This means that when they win, the probability of scoring more than 5 times is 0.81
Then the probability of scoring less than 5 times when they win is 1 minus the above probability:
P = 1 - 0.81 = 0.19
The probability of scoring fewer than 5 runs when they win is P = 0.19
The chart below lists the original and sale prices of items at a clothing store.
Which statement best describes why the sale price is a function of the original price?
A. As the original price increases, the sale price also increases.
B.The sale price is always less than the original price.
C.For every original price, there is exactly one sale price.
D. The sales price is never less than zero.
Answer:
I think Option C is the correct answer
I think it will help you.
If AD = 24, DB = 27 and EB = 18, find CE.
The length of side of triangle portion CE is 16.
What are similar triangles?When two triangles forms on the same base, has its other two sides in proportional with each other, the triangles are known as the similar triangles.
Given, the dimensions AD = 24, DB = 27 and EB = 18.
In the given diagram of two similar triangles, ABC and DBE
DB/AD = EB/CE
Substitute the values, we get
27/24 = 18/CE
CE= 16
Thus, the value of CE = 16
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The 7 in which number represents a value of 0.7
*903038393JKLSi933003
9=28
when 834 nine=365 and 7
Answer:
THE ANSWER IS C
Step-by-step explanation:
just add it it and find it 0.007
Answer:
THe answer Is C
Step-by-step explanation:
because 0.007 is the same as 365 its something were learning in class
I neeed help please help
Answer:
The data is spread out from 1 to 10 pounds of trash
Step-by-step explanation:
Because you see the X's on all the numbers through 1-10, there is none on 0. The other answer options are incorrect