a bit confusing to understand exactly. not so much on the math part, to get exactly what to compare.
Answers
77/125
Explanation:Probability of ordering sandwich that is either without cheese or is on sourdough bread = Probability of ordering a sandwich without cheese + probability of ordering a sourdough sandwich - probability of a sourdough sand wich without cheese
Sandwich without cheese = 425 + 700 = 1125
Sandwich with cheese = 800+ 1200 = 2000
Total of sandwich with or without cheese = 1125 + 2000 = 3125
Probability of ordering a sandwich without cheese = 1125/3125
Probability of ordering a sandwich without cheese = 9/25
ordering a sourdough sandwich = 800 + 425 = 1225
probability of ordering a sourdough sandwich = 1225/3125
probability of ordering a sourdough sandwich = 49/125
sourdough sandwich without cheese = 425
probability of a sourdough sandwich without cheese = 425/3125
probability of a sourdough sandwich without cheese = 17/125
Probability of ordering sandwich that is either without cheese or is on sourdough bread:
[tex]\begin{gathered} =\frac{9}{25}+\frac{49}{125}-\frac{17}{125} \\ =\text{ }\frac{5(9)+49-17}{125}=\frac{45+49-17}{125} \\ =\frac{77}{125} \end{gathered}[/tex]Related Questions
on Monday a local hamburger shop sold a combined total of 375 hamburgers and cheese burgers. the number of cheeseburgers sold was two times the number of hamburgers sold.how many hamburgers were sold?
Answers
Answer =
Equations:
Quantity Eq. : h + c = 375
Quantity Eq. : c = 3h
----------------------------
Substitute to solve for "h":
h + 2h = 375
3h = 375
h = 125 (# of hamburgers)
----------
Substitute to solve for "c":
125 + c = 375
c = 250 (# of cheeseburgers)
Solve the equation using the quadratic formula. 2y^2 + 4y + 1 = 0
Answers
Answer:
The solution to the quadratic equation is;
[tex]\begin{gathered} y=-1+\frac{\sqrt[]{2}}{2} \\ \text{and} \\ y=-1-\frac{\sqrt[]{2}}{2} \\ y=-1+\frac{\sqrt[]{2}}{2},-1-\frac{\sqrt[]{2}}{2} \end{gathered}[/tex]Explanation:
Given the quadratic equation;
[tex]2y^2+4y+1=0[/tex]Applying quadratic formula;
[tex]x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}[/tex]Substituting the coefficients of the quadratic equation;
[tex]\begin{gathered} y=\frac{-4\pm\sqrt[]{4^2-4(2)(1)}}{2(2)} \\ y=\frac{-4\pm\sqrt[]{16^{}-8}}{4} \\ y=\frac{-4\pm\sqrt[]{8}}{4} \\ y=\frac{-4\pm2\sqrt[]{2}}{4} \\ y=\frac{-2\pm\sqrt[]{2}}{2} \end{gathered}[/tex]Therefore, the solution to the quadratic equation is;
[tex]\begin{gathered} y=-1+\frac{\sqrt[]{2}}{2} \\ \text{and} \\ y=-1-\frac{\sqrt[]{2}}{2} \\ y=-1+\frac{\sqrt[]{2}}{2},-1-\frac{\sqrt[]{2}}{2} \end{gathered}[/tex]Please answer question 11, 12, And 13 there different word problems.
Answers
radius= 12 meters
Explanation
11)the area of the sector is given by:
[tex]A=\frac{5}{18}\pi r^2[/tex]
where r is the radius ( in meters)
then
Step 1
Let
[tex]\begin{gathered} \text{radius}=r \\ \text{Area}=\text{ A=}40\pi(m^2) \end{gathered}[/tex]
now replace and solve for r
[tex]\begin{gathered} A=\frac{5}{18}\pi r^2 \\ 40\pi=\frac{5}{18}\pi r^2 \\ \text{the }\pi\in\text{ both sides is eliminated,so} \\ 40=\frac{5}{18}r^2 \\ \text{now,multiply both sides by 18/5} \\ 40\cdot\frac{18}{5}=\frac{5}{18}r^2\cdot\frac{18}{5} \\ 144=r^2 \\ \text{square root in both sides} \\ \sqrt{144}=\sqrt{r^2} \\ 12=r \end{gathered}[/tex]therefore, the answer is
radius= 12 meters
I hope this helps you
graphing problem need help with it
Answers
Answer:
(2,-3)
Step-by-step explanation:
I used desmos to graph and find point of interception
y=5x+50 in standard form
Answers
Answer:
-5x + y = 50
Step-by-step explanation:
to formula for standard form is Ax + By = C
the formula (y=5x+50) is in slope-intercept form, which is y=mx+b
to write (y=5x+50) in standard form, move the 'mx' (which in this case is 5x) to the other side of the '=' or also known as the equation:
y = 5x + 50
y - 5x = 5x - 5x + 50
y - 5x = 50
(here, we subtracted 5x on both sides of the equation to 'move it')
Ax = -5x
By = 1y = y
C = 50
so, to write it in the standard form:
-5x + y = 50
Share 12 sweets between ife and jumai in ratio 3:1. How many sweets will Jumai get?
Answers
5(2x − 4)= 10x − 20Solve for x
Answers
5(2x − 4)= 10x − 20
5*2x - 5*4 = 10x - 20
10x - 20 = 10x - 20
10x = 10x
Any real value attributed to x satisfies this equation. Therefore, there are infinite solutions to this equation.
Answer: X= (-∞,∞)
Step-by-step explanation:
Simplifying
5(2x + -4) = 10x + 20
Reorder the terms:
5(-4 + 2x) = 10x + 20
(-4 * 5 + 2x * 5) = 10x + 20
(-20 + 10x) = 10x + 20
Reorder the terms:
-20 + 10x = 20 + 10x
Add '-10x' to each side of the equation.
-20 + 10x + -10x = 20 + 10x + -10x
Combine like terms: 10x + -10x = 0
-20 + 0 = 20 + 10x + -10x
-20 = 20 + 10x + -10x
Combine like terms: 10x + -10x = 0
-20 = 20 + 0
-20 = 20
Solving
-20 = 20
In the diagram below, lines k and intersect lines
m and n at points A, B, C, and D
Which statement is sufficient to prove ABCD is a
parallelogram?
1) Angles 1 and 3
2)angles 4 and 7
3)angles 2 and 5, angles 5 and 7
4) angles 1 and 3, angles 3 and 4
Answers
Answer:
actually c is the right answer
Angles 2 = angle 5, and angles 5 = angle 7. Option 3 is correct.
What is quadrilateral?A quadrilateral is a four-sided shape as given in the picture in question.
What is the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
here,
In the diagram,
Lines k and intersect lines m and n at points A, B, C, and D,
So,
For ABCD, proved to be a parallel gram, ,
Angles 2 = angle 5, and angles 5 = angle 7
Thus, Angles 2 = angle 5, and angles 5 = angle 7. Option 3 is correct.
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What’s the correct answer answer asap for brainlist
Answers
Answer: its protein channels
Step-by-step explanation:
sketch one cycle of y= -3 sin θ
Answers
Answer:
Explanation:
One cycle of the function runs from 0 to 2 pi.
To sketch one cycle one -3 sin θ, we first plot find some points that lie on it and then plot them to sketch the graph.
We evaluate the function at 0, pi/2, and 2pi.
[tex]\begin{gathered} y(0)=-3\sin 0=0 \\ y(\frac{\pi}{2})=-3\sin \frac{\pi}{2}=-3 \\ y(2\pi)=-3\sin 2\pi=0 \end{gathered}[/tex]We now sketch the three points we found above.
Hence, we get the graph of the function for one cycle.
help me pleasee!!
thank you <3
Answers
And interval notation is [4.8, ♾)
The midpoint M of CD has coordinates (-2.5, 5.5). Point C has coordinates (4, 2). Find the
coordinates of point D.
Write the coordinates as decimals or integers.
D=(_____, _____)
Answers
could i have brainliest pls i'm trying to get to the next level?
Which tree diagram shows the possible outcomes of choosing either black or gray shorts and a blue,green,white, or red T-shirt
Answers
The second option is the correct answer
Outcome can be
x² + 8x + 17, x ≤ -5X+4,x>-52B) Does not exist.5) lim f(x), f(x) =x->-5
Answers
Evaluate each limit separately:
[tex]\begin{gathered} \lim_{x\to-5}x^2+8x+17 \\ \\ \lim_{x\to-5}(-5)^2+8(-5)+17=25-40+17=2 \\ \\ \end{gathered}[/tex][tex]\begin{gathered} \lim_{x\to-5}-\frac{x}{2}+4 \\ \\ \lim_{x\to-5}-\frac{-5}{2}+4=\frac{5}{2}+4=\frac{5+8}{2}=\frac{13}{2}=6.5 \end{gathered}[/tex]As the one-sides limits are different, the limit doesn't existAnswer: Does not exist.A 12-in.-long steel cable weighs 0.428 lb.How much does an 11.4-ft-long cableweigh?
Answers
4.8792 lb
1)Since a 12 inch weighs 0.428 lb
2) We need to convert a 11.4 ft to lb
1 ft -----12 inches
11.4 -----x
x=136.8 inches
3) If a 12 inches long steel weighs 0.428 lb, let's calculate the weight of 136.8 inches cable
12 inches -----------------0 .428 lb
136.8 inches ------- y
12y =0.428 x 136.8
12y =58.5504
y=4.8792 lb
Don't understand −52(6+24)=−12
Answers
The equation is given
[tex]-52(6x+24)=x-12[/tex]ExplanationTo determine the value of x ,
[tex]\begin{gathered} -52\times6x-52\times24=x-12 \\ -312x-1248=x-12 \\ -313x=1248-12 \\ -313x=1236 \\ x=-3.948 \end{gathered}[/tex]AnswerHence the answer is x= -3.95.
Find the area. I'll add picture
Answers
The area of a triangle is represented below
[tex]\text{area}=\frac{1}{2}bh[/tex]where
b = base = 14 mm
h = height = 8.2 mm
[tex]\begin{gathered} area=\frac{1}{2}\times14\times8.2 \\ \text{area}=\frac{114.8}{2} \\ area=57.4mm^2 \end{gathered}[/tex]he two-way table shows the number of students in a school who have rabbits and/or birds as pets:Have RabbitsDo Not Have RabbitsTotalHave Birds182240Do Not Have Birds253560Total4357100How many more students have rabbits than birds? (4 points)372225
Answers
The numbers we want to compare are ther number of students that have rabbits and the number of students that have birds.
The number of students that have rabbits is in the column "Have Rabbits" and, since we want all of them, we get the value from the row "Total", so the number is 43.
Similarly, the number of students that have birds is in the row "Have Birds" and, since we want all of them, we pick the number in column "Total", which is 40.
So, the number of students that have rabbits is 43 and the number of students that have birds is 40. Since 43 is 3 more than 40, there are 3 more students that have rabbits that students that have birds.
what percent of 51 is 127.5?20.67 is 42.5% of what?
Answers
a) We have to find what percent of 51 is 127.5.
As 127.5 is larger than 51, we expect a percentage larger than 100%.
We can find the percentage by dividing the part, 127.5, by the total, 51, and multiplying by 100%:
[tex]\frac{127.5}{51}\cdot100\%=2.5\cdot100\%=250\%[/tex]b) We have to find the value x of which 42.5% is equal to 20.67.
We can write this as:
[tex]\begin{gathered} x\cdot\frac{42.5}{100}=20.67 \\ x\cdot0.425=20.67 \\ x=\frac{20.67}{0.425} \\ x\approx48.63 \end{gathered}[/tex]Answer:
a) 127.5 is 250% of 51.
b) 20.67 is 42.5% of 48.63.
Consider the following inequality:2(3z - 4) > - 2z + 16Step 1 of 2: Solve the linear inequality for the given variable. Simplify and express your answer in algebraic notation.
Answers
Let's solve the inequality:
[tex]\begin{gathered} 2(3z-4)\ge-2z+16 \\ 6z-8\ge-2z+16 \\ 6z+2z\ge16+8 \\ 8z\ge24 \\ z\ge\frac{24}{8} \\ z\ge3 \end{gathered}[/tex]Therefore the solution of the inequality is:
[tex]z\ge3[/tex]A store has clearance items that have been marked down by 40%. They are having a sale, advertising an additional 60% off clearance items. What percent of the original price do you end up paying?
Answers
Answer:
24 percent
Step-by-step explanation:
Let's say that there is a 100-dollar item. Mark that by 40 and you get 60. Marking that by 60 again gives you 24 dollars. 24 dollars is 24 percent of 100, so you only pay 24 percent of the original price.
for each pair of equations decide whether the given value of x is a solution to one or both equations
Answers
Answers:
1. x = 2 is solution of both equations.
2. x = 3 is a solution of equation b.
3. x = -2 is solution of both equations.
4. x = -1 is solution of both equations.
5. x = -5 is solution of both equations.
Explanation:
To know if the value of x is a solution, we need to replace x with the given value. So:
1. Repalcing x by 2, we get:
a. x ( 2 + 3) = 10
2 ( 5) = 10
10 = 10
b. 2x + 3x = 10
2(2) + 3(2) = 10
4 + 6 = 10
10 = 10
The equality is true in both cases, so x = 2 is solution of both equations.
2. Replacing x by 3, we get:
a. x - 4 = 1
3 - 4 = 1
- 1 = 1
b. 4 - x = 1
4 - 3 = 1
1 = 1
Since -1 and 1 are distintc, x = 3 is a solution of equation b.
3. Replacing x by -2, we get:
a. 7x = -14
7(-2) = -14
- 14 = - 14
b. x(14) = - 28
(-2)(14) = - 28
- 28 = - 28
So, x = -2 is solution of both equations.
4. Replacing x by -1, we get:
a. x + 3 = 2
-1 + 3 = 2
2 = 2
b. 3 + x = 2
3 + (-1) = 2
2 = 2
So, x = -1 is solution of both equations.
5. Replacing x by -5, we get:
a. 3 - x = 8
3 - ( - 5) = 8
3 + 5 = 8
8 = 8
b. 5 - x = 10
5 - ( - 5) = 10
5 + 5 = 10
10 = 10
So, x = -5 is solution of both equations.
solve 8,961 ÷ 29 in standard algorithm.
500 points
Answers
The value of the quotient expression 8,961 ÷ 29 = 309
How to determine the quotient of the numbers?The numbers are given as
8961 and 29
So, we have
8,961 ÷ 29
By using the standard algorithm i.e. the partial quotient method, we have the following equation
8,961 ÷ 29 = (8700 + 261)/29
Open the bracket
So, we have the following equation
8,961 ÷ 29 = 8700/19 + 261/29
Evaluate the quotients
So, we have the following equation
8,961 ÷ 29 = 8700/19 + 261/29
Next, we evaluate
So, we have the following equation
8,961 ÷ 29 = 309
This means that the quotient is 309
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Answer:
Step-by-step explanation:
309
Solve (x – 3)2 = 49. Select the values of x. –46 -4 10 52
Answers
The value of x in the given quadratic equation (x - 3)² = 49 is; x = 10
How to solve Quadratic equations?
The general form of a quadratic equation is given as;
ax² + bx + c = 0
The quadratic formula that is used to solve this is given by;
x = [-b ± √(b² - 4ac)]/(2a)
Now, we are given the quadratic equation as;
(x - 3)² = 49
Taking the square root of both sides gives us;
x - 3 = √49
x - 3 = 7
Add 3 to both sides to get;
x - 3 + 3 = 7 + 3
x = 10
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Write an equation in slope-intercept form of the line that passes through the point (-6,-5) with slope 6.A. y = -5 + 6(2 + 6)B.y=6x + 31c. y - 5 = 6(x+6)D. 6x – y + 31 =0
Answers
Using the Point-Slope Formula :
[tex]y-y_1=m(x-x_1)[/tex]where m is the slope and (x1, y1) is the point on the line
From the given problem, m = 6 and the point is (-6, -5)
Subsitute the given to the formula :
[tex]\begin{gathered} y-(-5)=6\lbrack x-(-6)\rbrack \\ y+5=6(x+6) \\ y+5=6x+36 \\ y=6x+36-5 \\ y=6x+31 \end{gathered}[/tex]The answer is Choice B. y = 6x + 31
Solve each inequality.
1/2-2p>2/3
Answers
Answer:
our house and the only way I can see the only way I can see the only u new friends at the only way I can see the 77
Simplify: ✓- 72 O A - 6iva O B. 6iv 2 O c. 5i/3 OD. – 517 3
Answers
We want to simplify the following expression
[tex]\sqrt[]{\text{ -72}}[/tex]To do so we will use the following properties
[tex]\sqrt[]{a\cdot b}=\sqrt[]{a}\cdot\sqrt[]{b}[/tex]and
[tex]\sqrt[]{\text{ -1}}=i[/tex]So we have that
[tex]\sqrt[]{\text{ -72}}=\sqrt[]{\text{ -1}\cdot72}=\sqrt[]{\text{ -1}}\cdot\sqrt[]{72}=\sqrt[]{72}i=\sqrt[]{8\cdot9}i=\sqrt[]{8}\cdot\sqrt[]{9}i=\pm3\cdot\sqrt[]{8}i=\pm3\cdot\sqrt[]{4\cdot2}i=\pm3\sqrt[]{4}\sqrt[]{2}i[/tex]which is equal to
[tex]\pm3\cdot2\sqrt[]{2}i=\pm6\sqrt[]{2}i[/tex]so options A and B are correct
a cone has a radius of 4 cm and a height of 3 cm what is the volume of the cone to the nearest tenth of a cubic centimeter?A. 12.6 B. 25.1 C. 50.2 D. 150.7
Answers
(1 point)
Use the complete the square method to find the vertex of the following parabola:
y = x² + 16x +67
Step 1: Separate non-x-terms from x-terms
Manipulate the equation until all terms containing x are on one side of the equation, and all terms not containing x are
on the opposite side:
Step 2: Identify the value that completes the square
Step 3: Complete the Square
Step 4: Factor and solve for y
Step 5: Identify the vertex
= x² + 16x
Answers
Answer:
32
Step-by-step explanation:
Does the table show a proportional relationship? If so, what is the value of y when x is 3/5?
Answers
There is a directly proportional relationship between "x" and "y" which is y=5x i.e., for every "x", value of "y" is "5x" hence the value of "y" if value of x=3/5 will be y = 3.
As per the question statement, we are supposed to find out a proportional relationship between "x" and "y" and also find the value of "y" when x=3/5.
After observing the given data, we conclude that y = 5x i.e., for every value of "x", value of "y" is "5x".
So we derive a formula y = 5x and the proportionality constant is 5
Now when x = 3/5
Then by the formula, y = 5x,
y = 5*(3/5)
y = 3
Hence, there is a directly proportional relationship between "x" and "y" which is y=5x i.e., for every "x", value of "y" is "5x" hence the value of "y" if value of x=3/5 will be y = 3.
Direct Proportionality. When two values are directly proportional, it indicates that if one increases by a specific percentage, the other also increases by the same percentage.To learn more about direct and inverse proportionality, click on the link given below:
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