50 + 21 is equal to d. 11+ 60.
What is simplificarion?Simplification or simplifying fractions means simplifying a complicated mathematical expression to get a single or direct solution.
the value of 50 + 21 = 71 is option C.
a. 20 + 21
b. 60 - 30
c. 20 - 61
d. 11+ 60
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Final answer:
None of the provided options (20 + 21, 60 - 30, 20 + 11, 60 - 61) are equal to the sum of 50 + 21, which is 71. Each option computes to a different number, all of which are not equal to 71.
Explanation:
The question asks which of the given options is equal to the sum of 50 + 21. To solve this, we can compute each of the options to see which one equals 71, since 50 + 21 equals 71. Let's calculate:
20 + 21 = 41, which is not equal to 71.60 - 30 = 30, which is also not equal to 71.20 + 11 = 31, again not equal to 71.60 - 61 equals -1, which is not equal to 71.None of the provided options are equal to the sum of 50 + 21. The correct answer should be a number that when calculated results in 71, but none of these options do.
The center of a circle is at (2, −5) and its radius is 12.
What is the equation of the circle?
(x−2)2+(y+5)2=144
(x+2)2+(y−5)2=144
(x+2)2+(y−5)2=24
(x−2)2+(y+5)2=24
The equation of the circle is given by (x-h)^2 + (y-k)^2 = r^2 where (h,k) represent the center of the circle and r represents the radius
From the question , we have been given (h,k) = (2,-5) and r =12
(x-2)^2 + (y-(-5))^2 = 12^2
The two minuses in the second term cancel out and give a plus. (-*- = +)
(x-2)^2 + (y+5)^2 = 144
So, the equation of the circle is:
(x-2)^2 + (y+5)^2 = 144 (Option A)
In parallelogram DEFG, DH = x + 5, HF = 2y, GH = 3x – 1, and HE = 5y + 4. Find the values of x and y.
The values of x and y in parallelogram DEFG are:
x = 35y = 20Given:
DH = HF and GH = HE
We have the following equations according to the given condition.
x + 5 = 2y ...(1)
3x - 1 = 5y + 4 ...(2)
From equation (1), we can express x in terms of y:
x = 2y - 5 ...(3)
Substitute this value of x in equation (2):
3(2y - 5) - 1 = 5y + 4
Simplify and solve for y:
6y - 15 - 1 = 5y + 4
6y - 16 = 5y + 4
y = 20
Now substitute y = 20 in equation (3) to find x:
x = 2(20) - 5
x = 40 - 5
x = 35
Therefore, the values of x and y in parallelogram DEFG are:
x = 35
y = 20
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The perimeter of a rectangle is 22 ft and the area is 24 ft what is the length and width
I am having a bit of a hard time solving this problem, it would be a pleasure if some one were to help me!
The cost of gasoline is expected to increase by 2.5% next year. If p represents the current cost of gasoline, which experession represents the expected gasoline price next year?
Write the equation for a parabola that has x− intercepts (−1.6,0) and (−3.2,0) and y−intercept (0,25.6).
The perimeter of a rectangle is 108 inches. the rectangle is 34 inches long. how wide is it?
1. Point B lies on line AC. AC = 127, AB is represented by the expression -12x + 11, and BC is represented by the expression -8x - 4. What is the length of AB?
2. Point E lies on line DF. DE is represented by the expression 2x - 8. EF is represented by the expression 2x - 4. If DF = 36 inches, what is the length of DE? What is the length of EF?
-2x+4y=-8 which graph models the equation
write the standard form of the line that passes through the given point. include your work in your final answer. (-8,0) and (1,5)
Use the following graph of the function f(x) = 2x3 + x2 − 3x + 1 to answer this question:
(graph of 2x cubed plus x squared minus 3x plus 1)
What is the average rate of change from x = −1 to x = 1?
−1
1
2
4
We have been given a polynomial [tex]f(x)=2x^{3} +x^{2}-3x+1[/tex] and we are asked to find average rate of change from x = −1 to x = 1.
First of all we will find f(-1) and f(1).
[tex]f(-1)=2\cdot (-1)^{3} +(-1)^{2}-3(-1)+1[/tex]
[tex]f(-1)=2\cdot (-1) +1+3+1[/tex]
[tex]f(-1)=-2 +5=3[/tex]
Let us find f(1),
[tex]f(1)=2\cdot (1)^{3} +(1)^{2}-3(1)+1[/tex]
[tex]f(1)=2\cdot 1 +1-3+1[/tex]
[tex]f(1)=2+1-3+1[/tex]
[tex]f(1)=4-3=1[/tex]
Now let us find slope for our values.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{f(1)-f(-1)}{1-(-1)}[/tex]
[tex]m=\frac{1-3}{1--1}[/tex]
[tex]m=\frac{-2}{1+1}[/tex]
[tex]m=\frac{-2}{2}=-1[/tex]
Therefore, average rate of change from our given x values will be -1.
Two jets leave Dallas at the same time and fly in opposite directions one is flying west 50 mph faster than the other another two hours the Jets are 2500 miles apart find the speed of the jet
Jason eats 10 ounces of candy in 5 days. a. How many pounds does he eat per day?
b. How long will it take Jason to eat 1 pound of candy?
Hadmids will start at 11:00A.M., but the players must arrive at the field three-quarters of an hour early to warm up. The game must end by 1:15 P.M. Hadmid say he has to be at the field at 9:45 A.M is hadmid correct? Explain your answer.
Two ships leave a harbor at the same time. one ship travels on a bearing upper s 12 degrees upper w at 18 miles per hour. the other ship travels on a bearing upper n 75 degrees upper e at 12 miles per hour. how far apart will the ships be after 2 hours?
Use the difference of squares theorem to find the solution of the following equation:
v^2 = 252
write this as an equation in point-slope form Please answer as quickly as possible. 50 pts!!!!!
m=-3, (-2,1)
Solve the polynomial equation. state the multiplicity of each root. 8x3 - 12x2 + 6x - 1 = 0
Mike is going to a ball game on saturday. he will pay $8.00 admission, plus $1.50 per item he buys at the concession stand. which of the equations represents this information?
The equation that represents this information will be y = 1.5x + 8.
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.
Mike is going to a ball game on Saturday.
He will pay $8.00 for admission, plus $1.50 per item he buys at the concession stand.
Let x be the number of items and y be the total cost.
Then we have
y = 1.5x + 8
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A researcher reports that mean ratings of liking for some food are m = 0.8, sd = 2.4. if the null hypothesis was that the mean equals 0, then what is the effect size for this test using estimated cohen's d?
the perimeter of a rectangular parking lot is 190 meters. the width is one fourth the length. write a system of equation for this scenario
Final answer:
To write a system of equations for the scenario, assign variables to the length and width of the rectangular parking lot. Use the information given to create two equations.
Explanation:
To write a system of equations for this scenario, let's start by assigning variables to the length and width of the rectangular parking lot. Let's say the length is represented by 'L' and the width is represented by 'W'. According to the given information, the width is one fourth the length, so we can write the equation:
W = (1/4)L
The perimeter of a rectangle is equal to the sum of all its sides. In this case, the perimeter is given as 190 meters, so we can write the equation:
2L + 2W = 190
Now we have a system of equations:
W = (1/4)L
2L + 2W = 190
These are the equations that represent the given scenario.
Could someone please help with this question!
L'shanda can choose between 3 sweaters and 4 skirts. if she selects 1 sweater and 1 skirt, how many possible outcomes are in the sample space answer
We have been given that L'shanda can choose between 3 sweaters and 4 skirts.
We need to figure out the number of ways in which L'shanda can pick 1 sweater and 1 skirt out of the available items.
We need to use combinations here. First of all, we will figure out the number of ways of choosing 1 sweater out of 3 available sweaters. And then we will determine the number of ways of choosing 1 skirt out of 4 available skirts.
Number of ways of choosing 1 sweater = [tex]_{1}^{3}\textrm{C}=\frac{3!}{2!1!}=\frac{3\cdot 2!}{2!} = 3[/tex]
Number of ways of choosing 1 skirt = [tex]_{1}^{4}\textrm{C}=\frac{4!}{3!1!}=\frac{4\cdot 3!}{3!} = 4[/tex]
Therefore, total number of ways to select 1 sweater and 1 skirt are [tex]3\cdot 4 = 12[/tex]
What is 5.1 x 10^-1 as an ordinary number?
Answer:
0.51
Step-by-step explanation:
10^1=divide by 10
5.1/10=0.51
please help but only answer if you're going to show work please!!!!
A circle with the equation (x + 4)2 + (y - 3)2 = 9 is reflected over the line y = -1. What is the equation of the image?
(x - 2)2 + (y - 3)2 = 9
(x + 4)2 + (y - 5)2 = 9
(x + 4)2 + (y + 5)2 = 9
(x - 2)2 + (y + 5)2 = 9
The equation of the image circle is,
(x + 4)² + (y + 5)² = 9.
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Since, We know that;
After reflect a point over the line y = -1, we need to use the formula ;
(x,y) → (x, -y - 2).
Hence, We can apply this formula to each point on the circle and simplify to get the equation of the image circle:
(x + 4)² + (y - 3)²= 9
(x + 4)² + (-y - 2 - 3)² = 9
(x + 4)² + (y + 5)² = 9
So, the equation of the image circle is,
(x + 4)² + (y + 5)² = 9.
Therefore, the correct option is,
(C) (x + 4)² + (y + 5)² = 9.
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The scatterplot shows a linear relationship between the distance traveled and the time elapsed. What is the rate of change of the linear relationship?
For every increase in time by 1 hour, the distance increases
36 miles.
54 miles.
72 miles.
90 miles.
Answer:
The answer is C. 72 miles.
Step-by-step explanation:
20 POINTS!
Find P(4).
I don't know or understand how to do this.
The calculated value of the probability of 4
How to determine the probability of 4From the question, we have the following parameters that can be used in our computation:
The spinner
Where, we have
Sections = 8
Also, we have
Sections that read 4 = 1
Using the above as a guide, we have the following:
P(4) = 1/8
Hence, the probability of 4 is 1/8
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Emily sold 147 candles for a fundraiser. If she sold 70% of the total number of candles sold for the fundraiser, what is the total number of candles sold for the fundraiser?
Emily sold 147 candles for a fundraiser. If she sold 70% of the total number of candles sold for the fundraiser, what is the total number of candles sold for the fundraiser?
Solution:
Candles Emily sold=70% of Total Number of Candles
Emily sold 147 candles.
So, We have,
147=70% of Total Number Of Candles
Let, Total Number Of Candles=x
147=70% of x
147=[tex] \frac{70}{100} [/tex] *x
147=[tex] \frac{70x}{100} [/tex]
Let us multiply by 100 on both sides
147*100=[tex] \frac{70x*100}{100} [/tex]
14700=[tex] \frac{70x*1}{1} [/tex]
14700=70x
To solve for x, Let us divide by 70 on both sides
[tex] \frac{70x}{70}=\frac{14700}{70} [/tex]
x=14700/70
x=210
Total Number of Candles=210
A , O and B lie on a straight line segment
Evaluate x the diagram is not drawn to scale
The value of x from the given diagram is; 36°
Sum of angles on a straight line.The sum of angles on a straight line is 180°.
In this scenario, the sum of angles on the straight line: AOB is 180°.
Therefore, we have
3x + x + x = 180°5x = 180x = 36°
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