For this case we make a rule of three to find the cost of dairy products and vegetables.
$ 140 --------------> 1
x ------------------>[tex]\frac {1} {7}[/tex]
Where "x" represents the amount of money spent on dairy products.
[tex]x = \frac {\frac {1} {7} * 140} {1}\\x = 20[/tex]
So, I spend $ 20 on dairy products.
Now we have:
$ 140 --------------> 1
y ------------------> [tex]\frac {3} {20}[/tex]
Where "y" represents the amount of money spent on vegetables.
[tex]x = \frac {\frac {3} {20} * 140} {1}\\x = 21[/tex]
So, I spend $ 21 on vegetables.
Therefore, I spend $ 41 on vegetables and dairy products.
$ 140- $ 41 = $ 99
Spending $ 99 dollars on products other than vegetables and dairy products
Answer
$ 99
The data give the average number of days in May that are clear and cloudy in
two cities.
On a day in May, what is the probability that it is clear, given that you are in
San Antonio? Explain how you found the answer and round your answer to
two decimal places.
O
A. 0.57, because 17 of the 30 days were clear
O
B. 0.26, because 6 of the 23 days were clear
O
C. 0.10, because 6 of the 60 days were clear
O
D. 0.20, because 6 of the 30 days were clear
The probability that it will be a clear day in San Antonio in May is 0.57 or 57%, calculated by dividing the number of clear days (17) by the total number of days in May (30).
Explanation:In order to determine the probability of a clear day in San Antonio in May, we need to use the given data. From option OA, it is stated that there are 17 clear days out of 30. Probability is calculated by dividing the number of favorable outcomes (clear days) by the total number of outcomes (total days in May).
So, if we divide 17 (the number of clear days) by 30 (the total number of days in May), we get the probability as 0.57 after rounding to two decimal places which matches option OA.Therefore, the probability that it will be clear in San Antonio in May is 0.57 or 57%.
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Because 6 of the 30 days were Clear, The probability is 0.2
How to determine the probabilityThe probability of A given B is defined as ;
P(A|B) = P(AnB) / P(B)Hence, Probability of being clear given you're in San Antonio ;
P(Clear n SA) / P(SA)Now we have ;
P(Clear n SA) = 6 / 30 = 0.2
Hence, the correct option is D.
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Which time is faster 2/3, 11/12, 5/6 or 7/12
Answer:
Correct choice is 11/12.
Step-by-step explanation:
Given numbers are 2/3, 11/12, 5/6 and 7/12.
Now we need to find about which time is faster among 2/3, 11/12, 5/6 and 7/12.
To find that we need to make denominators equal.
2/3, 11/12, 5/6, 7/12
Common denominator is 12 so let's multiply by suitable numbers to get equal denominator.
8/12, 11/12, 10/12, 7/12
Now we see that largest numerator is 11.
Hence correct choice is 11/12.
Answer:
11/12 is the answer
Step-by-step explanation:
Combine the like terms to create an equivalent expression: −2x−x+8
Answer:
-3x+8
Step-by-step explanation:
−2x−x+8
-2x and -x both have the variable x in them so we can combine them
-2x-x = -3x
-3x+8
Answer:-3x+8
Step-by-step explanation:
Negative - a negative= negative so -2x-x= -3x and the 8 is just an 8 because it has nothing to combine
math help ! will reward uwu
Answer:
5) c. 6 pi cm
6) A. 81 pi mm^2
Step-by-step explanation:
5) Circumference of a circle = pi d
d = 6 cm
so
C = 6 pi cm
Answer
c. 6 pi cm
6)
A = pi r^2
r = d/2 = 18/2 = 9
so
A = pi 9^2
A = 81 pi mm^2
Answer
A. 81 pi mm^2
Answer:
Circumference: 6πcm
Area: 81π mm^2
Step-by-step explanation:
1. C = πd
C = 3.14159 * 6
C = 18.84cm OR C = 6πcm
2. A=πr^2
A = 3.14159 * (9^2)
A = 254.46mm OR 81π mm^2
What is the measure of the missing angle?
60°
80°
100
180°
Answer: 80
Step-by-step explanation:
A man walks due east for 4km, he then changes direction and walks on a bearing on a bearing of 197degrees until he is south west of his starting point. How far is he from the starting point?
Check the picture below.
Which triangle always has 1 right angle and 2 sides the same length?
a. acute isosceles
B. right isosceles
c. right equilateral
D. acute scalene
Answer:
The Answer is B
Step-by-step explanation:
Answer:
Step-by-step explanation:
Isosceles tells you that two sides of a triangle (in this case) are equal. The two non hypotenuse sides are both the same size. Each of the angles opposite the equal sides are equal and are 45o.
A right angle takes up the other 90o.
Elvaluate b^-3 for b=3
A. 27
B. 1/9
C. 1/27
D. -27
Answer:
C
Step-by-step explanation:
Using the rule of exponents
• [tex]b^{-m}[/tex] ⇔ [tex]\frac{1}{b^{m} }[/tex], thus
[tex]3^{-3}[/tex] = [tex]\frac{1}{3^{3} }[/tex] = [tex]\frac{1}{27}[/tex] → C
Answer: C 1/27
b^-3 and b=3
So we have 1/b^3= 1/3^3= 1/27
What can be 5 questions using this two table and the answers to them?? HELP due tomorrow please!
Answer:
1.) What percent of girls don't wear makeup? [30%]
2.) What percent of the people surveyed were girls? [50%]
3.) What percent of people don't have an opinion? [23.3%]
4.) What percent of boys boys prefer girls who don't wear make up? [33.3%]
5.) What percent of boy have no opinon? [10%]
I hope this helps!!!
Which table represents a function with a greater rate of change than y = 3x?
x f(x)
–3 –12
–1 –4
4 16
x f(x)
–2 6
–1 3
1 –3
x f(x)
1 0.25
8 2
16 4
x f(x)
–9 3
–3 1
21 –7
Answer:
x f(x)
–3 –12
–1 –4
4 16
Step-by-step explanation:
Let us find the each function by evaluating them one by one
1.
x f(x)
–3 –12 = -3 x 4
–1 –4 = -1 x 4
4 16 = 4 x 4
By observing the data we can see that
f(x) = 4x
2.
x f(x)
–2 6 = -2 x -3
–1 3 = -1 x -3
1 –3= 1 x -3
f(x) = -3x
3.
x f(x)
1 0.25 = 1/4
8 2 = 8/4
16 4 = 16/4
f(x)= x/4
4.
x f(x)
–9 3 = -9/-3
–3 1 = -3/-3
21 –7 = 21/-3
f(x) = x/-3
Hence comparing all the four function with our given function f(x)=3x , we see that f(x) =4x has a greater rate of change that f(x)=3x
Answer:
The Correct Answer is A.
Step-by-step explanation:
Find the volume of the cylinder.
Either enter an exact answer in terms π or use 3.14 for π
Answer:
160π units³
Step-by-step explanation:
The volume (V) of a cylinder is calculated using the formula
V = πr²h ( r is the base radius and h the height )
here r = 4 and h = 10, thus
V = π × 4² × 10 = 160π units³ ← exact value
2 times the square root of 18
Answer:
8.48 I believe that is the correct answer
Step-by-step explanation:
Answer:
8.48
Step-by-step explanation:
Can you help me please
The answer to this question is 10. The working out is shown in the image attached.
*** Sorry instead of writing 170 I wrote 270 for the big angle.. other than that it's correct
or another way to solve this is....
we know that a straight line is 180 degrees and the angle APD is 170 all we need to do is subtract 170 from 180 to get the answer of DPB
Hope this helped
How much ice cream can fit in a chocolate cone with a height of 7 inches and a diameter of 4 inches?
87.92in^3 or 29.3in^3
Answer:
29.3 in³
Step-by-step explanation:
1. Volume of cone: V = ¹/₃ * πr²h
2. Find r: r = d/2 = 4/2 = 2 in
3. Plug in: V = ¹/₃ * π(2)²*7
4. Powers: V = ¹/₃ * π * 4 * 7
5. Multiply: V = ²⁸/₃π in³ ≈ 29.3 in³ (excluding outside of the cone)
Final answer:
Approximately 29.3 cubic inches of ice cream can fit in the chocolate cone.
Explanation:
To find the amount of ice cream that can fit in a chocolate cone, we need to calculate the volume of the cone. The volume of a cone is given by the formula V = (1/3)πr^2h, where r is the radius (half the diameter) of the base of the cone and h is the height of the cone. In this case, the diameter is 4 inches, so the radius is 2 inches. The height of the cone is 7 inches. Plugging these values into the formula, we get V = (1/3)π(2^2)(7) = (4/3)π(7) = 28/3π ≈ 29.3 cubic inches. Therefore, approximately 29.3 cubic inches of ice cream can fit in the chocolate cone.
Scores on the GRE (Graduate Record Examination) are normally distributed with a mean of 600 and a standard deviation of 120. Use the 68 dash 95 dash 99.7 Rule to find the percentage of people taking the test who score between 240 and 960.
Answer:
99.7%
Step-by-step explanation:
The 68-95-99.7 rule refers to what percentage of data is contained within ranges a certain distance from the mean.
68% of the data lies within one standard deviation of the mean
95% lies within two standard deviations, and
99.7% lies within three standard deviations.
Our mean here is 600, and our standard deviation is 120, so those ranges would be:
480-720 for 1 standard deviation
360-840 for 2 standard deviations, and
240-960 for 3.
Our given range is 240 to 960, three standard deviations from the mean, so the 68-95-99.7 rule tells us that this range contains 99.7% of the people.
According to the empirical rule, approximately 99.7% of people taking the GRE score between 240 and 960.
The student is asking for the percentage of people taking the GRE who score between 240 and 960 using the 68-95-99.7 Rule (also known as the empirical rule). This rule applies to normally distributed data and indicates that approximately 68% of data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.
For the GRE, with a mean score of 600 and standard deviation of 120, one standard deviation range is from 480 to 720, two standard deviations is from 360 to 840, and three standard deviations is from 240 to 960. Using this rule:
68% of the scores fall between 480 (600-120) and 720 (600+120).
95% of the scores fall between 360 (600-2*120) and 840 (600+2*120).
99.7% of the scores fall between 240 (600-3*120) and 960 (600+3*120).
Hence, according to the empirical rule, approximately 99.7% of people taking the GRE score between 240 and 960.
PLEASE HELP GIVE AS MANY POINTS AS I CAN
Answer:
The correct numbers to fill the table going down are:
2
5
7
Answer:multiply y times 2 the answers would be 2,5,7
Step-by-step explanation:
if A = -3 + 5i, B = 4 - 2i, and C = 1 +6i, where i is the imaginary unit, then A - BC equals
1) 5 - 17i
2) 5 + 27i
3) -19 - 17i
4) -19 + 27i
Answer:
3) -19 - 17i is our answer
Step-by-step explanation:
to solve A - BC we plug in the values given
A= -3 + 5i
B = 4 - 2i
C = 1 + 6i
-3 + 51i - (4 - 2i)(1 + 6i) is our expression. we can FOIL (4 - 2i)(1 + 6i) this expression out. FOIL stands for:
First
Outside
Inside
Last
i will highlight the terms i am using in the current step in bold and put the result next of those two terms next to the expression
F: (4 - 2i)(1 + 6i) = 4
O: (4 - 2i)(1 + 6i) = 24i
I: (4 - 2i)(1 + 6i) = -2i
L: (4 - 2i)(1 + 6i) = 12 < --- the reason why its 12 and not -12i or 12i is because i = √-1 and i² = -1
when we multiply -2i * 6i, we would have gotten a -12i², and i² = -1, so we are multiplying -12 by -1, which gives us 12 as the result
combining all these terms together and we have:
4 + 24i - 2i + 12
in the expression this is:
-3 + 5i - (4 + 24i - 2i + 12) < we need to distribute the negative sign into (4 + 24i - 2i + 12) and we now get:
-3 + 5i -4 - 24i + 2i - 12 < combine like terms (ex: i terms together)
-3 - 4 - 12 = -19
5i - 24i + 2i = -17i
the result of the expression is:
-19 - 17i
we cannot simplify this any further so this is our answer. the answer choice that matches this is 3, so 3) -19 - 17i is our answer
The result of the expression where i is the imaginary unit is -19-17i. Option 3 is correct
Given the following complex numbers A = -3 + 5i, B = 4 - 2i, and C = 1 +6i
We need to solve for A - BC
BC = (4 - 2i)(1 + 6i)
BC = 4(1) + 4(6i) - 2i(1) - 2i(6i)
BC = 4 + 24i -2i - 12(-1)
BC = 16+22i
Evaluate A - BC
A - BC = (-3 + 5i) - (16 + 22i)
A - BC = -3-16 + 5i - 22i
A - BC = -19 - 17i
Hence the result of the expression where i is the imaginary unit is -19-17i
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23. How many solutions are there to the system of equations below?
y = x2 + 3x – 7
y – 5x + 8 = 0
A. There are exactly 4 solutions
B. There are exactly 2 solutions
C. There is exactly 1 solution
D. There are no solutions.
D
When you add 2+3 which equals 5 so it’ll be y=5x-7. And plug in y into the other equation. 5x-7-5x+8=0. -7-8=0, -7-8 =-1 therefore there is no solution because-7-8= -1 not 0.
Answer:
There are exactly 4 solutions
Step-by-step explanation
Given the two equation
y = x² + 3x – 7 ... (1)
y – 5x + 8 = 0 ...(2)
From equation 2,
y - 5x = -8
y = -8+5x ...(3)
Substituting equation 3 into 1
-8+5x = x²+3x-7
Moving -8+5x to the other side of the equation, we have:
x²+3x-7+8-5x = 0
x²+3x-8x-7+8= 0
x²-5x+1 = 0
Since the resulting equation is quadratic, we will get two solutions as our x and substituting both value of x in equation 2 to get y will give us two solutions for our y variable making a total of 4 solutions.
Therefore in the system of equation given, there are exactly 4 solutions
what is the unit rate for the cost of a salad at the salad bar?
Answer:
C.) $2.00 per pound
Hope This Helps! Have A Nice Day!
$2.00 per pound, the answer would be letter C
Find the area of the rectangle below.
(3x+4)feet (x+3)feet
Answer:
3x^2+13x+12 square feet.
Step-by-step explanation:
Since the formula for area is lxw so we Multiply the given using the foil method: (3x+4)(x+3)
3x^2+9x+4x+12, combine like terms
3x^2+13x+12, since we no longer have other like terms then the area is 3x^2+13x+12 square feet.
Answer:
Area of rectangle = [tex]3x^2+13x+12[/tex] square feet
Step-by-step explanation:
We are given the following dimensions of a rectangle and we are to find its area:
[tex] ( 3 x + 4 ) feet [/tex]
[tex] ( x + 3 ) feet [/tex]
We know that the formula of area of a rectangle is given by: [tex]l \times w[/tex].
Substituting the given dimensions in the above formula.
Area of rectangle = [tex](3x+4) \times (x+3)[/tex] = [tex]3x^2+9x+4x+12[/tex] = [tex]3x^2+13x+12[/tex] square feet
what is the midpoint between 2+8i and 2-i
Answer:
2 + 3.5i
Step-by-step explanation:
Real: (2 + 2)/2 = 4/2 = 2
Complex: (8i - i)/2 = 7i/2 = 3.5i
Answer: (2 + 3.5i)
11/33 in lowest terms
Answer:
1/3
Step-by-step explanation:
Both 11 and 33 are divisible by 11
11/11 =1
33/11 =3
11/33 = 1/3
The answer is 1/3. I hope this helps!
Please help!!! Is this correct????
Answer:
yes
Step-by-step explanation:
Weight appears to be the independent variable, so will be graphed on the horizontal axis. Cost is the dependent variable, so will be graphed on the vertical axis.
Plsssss helpppp teacher won’t helppp
Answer:
A. The graphs of two of the functions have a minimum point.
Step-by-step explanation:
Option A is false, because the only function that has a minimum point is
[tex]h(x)=\frac{1}{4}x^2+1[/tex]
Option B is true because all the functions are of the form;
[tex]y=ax^2+c[/tex]
The equation of axis of symmetry of equations in this form is x=0.
Option C is also true because, [tex]h(x)=\frac{1}{4}x^2+1[/tex] is a minimum graph and its y-intercept is 1. This graph will hang above the x-axis.
[tex]g(x)=-2x^2-5[/tex] is a maximum graph whose y-intercept is -5.
This graph also hangs below the x-axis.
Option D is also true. The y-intercepts are 6,-5, and 1
What is the relationship between two congruent chords and their distance to the center of a circle?
Answer:
Congruent chords are equidistant from the center of the circle
Step-by-step explanation:
Chords are lines touching two points on the circumference of a circle. A diameter of a circle is a chord that passes through the center of the circle.If two chords are equal in length or magnitude they are congruent and they are equidistant from the center of the circle. This means the distance from each chord to the center of the circle is equal. 8) Solve 4^(x - 2)= 8^6
A)5
B)8
C)10
D)11
For this case we have the following equation:
[tex]4 ^ {(x-2)} = 8 ^ 6[/tex]
We must create equivalent expressions in the equation, so that they have equal bases:
[tex]2 ^ {2 * (x-2)} = 2 ^ {3 * 6}[/tex]
If the bases are the same, then the two expressions are only equal if the exponents are equal:
[tex]2 (x-2) = 3 * 6\\2 (x-2) = 18\\2x-4 = 18\\2x = 18 + 4\\2x = 22\\x = \frac {22} {2}\\x = 11[/tex]
Answer:
[tex]x = 11[/tex]
Option D
Answer: OPTION D
Step-by-step explanation:
You need to remember the following:
[tex]a^x=a^y\\x=y[/tex]
Then, you must descompose 4 and 8 into their prime factors:
[tex]4=2*2=2^2\\8=2*2*2=2^3[/tex]
Rewriting the expression:
[tex]2^{2(x-2)}=2^{3(6)}[/tex]
Now you get:
[tex]2(x-2)=3(6)[/tex]
Finally, you must solve for the variable "x".
Therefore, you get the following result:
[tex]2x-4=18\\2x=22\\x=11[/tex]
Which is the equation in slope intercept form for the line that passes through (-3,3) and is parallel to 3x + y= 7?
A y= 3x + 12
B y= 1/3x y = 4
C y= -3x -6
D y= -1/3x + 3
The equation of the line parallel to 3x + y = 7 and passing through (-3,3) is y = -3x + 12 (Option A) because parallel lines have identical slopes and using the point-slope formula provides us with the y-intercept.
To find the equation of a line parallel to 3x + y = 7 and passing through the point (-3,3), we need two pieces of information:
The slope of the parallel line
The coordinates of a point it passes through
First, let's rewrite the given equation in slope-intercept form to find the slope. Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
y = -3x + 7
So, the slope m is -3. Because parallel lines have the same slope, our new line will also have a slope of -3.
Using the slope (-3) and the given point (-3,3), we apply the point-slope formula:
y - y1 = m(x - x1)
y - 3 = -3(x - (-3))
y - 3 = -3x - 9
y = -3x + 12
Thus, the equation in slope-intercept form for the line that passes through (-3,3) and is parallel to 3x + y= 7 is y = -3x + 12 which corresponds to Option A.
Finish this simile. Use your imagination to complete the description.
The horse ran like . . . . .
Answer: Usain Bolt
Step-by-step explanation:
Answer:
The horse ran like a jaguar trying to feed.
Step-by-step explanation:
express 0.009238 to 3 significant figures
The number 0.009238 is expressed correctly to 3 significant figures as 0.00924
To express 0.009238 to 3 significant figures, we need to consider the first three non-zero digits from the left.
Identify the first three non-zero digits from the left: 9, 2, and 3.
Since the digit after the third significant figure (8) is greater than or equal to 5, we round up the last significant figure.
Therefore, the number rounded to 3 significant figures is 0.00924.
The complete question is : express 0.009238 to 3 significant figures
a 7cm × 5cm rectangle sits inside a circle with radius 6cm. what is the area of the shaded region
Answer:
The area of the shaded region is [tex](36\pi-35)\ cm^{2}[/tex]
Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of the circle minus the area of the rectangle
so
[tex]A=\pi r^{2}-a*b[/tex]
we have
[tex]a=7\ cm[/tex]
[tex]b=5\ cm[/tex]
[tex]r=6\ cm[/tex]
substitute the values
[tex]A=\pi (6)^{2}-(7)*(5)[/tex]
[tex]A=(36\pi-35)\ cm^{2}[/tex]
Answer:
78.1
Step-by-step explanation: