Answer:
A)25
B) 14
Step-by-step explanation:
A) a/5 + 3 = 8
a/5 = 8 - 3
a = 5 x 5
a = 25
B) 3b/7 -1 =5
3b/7 = 5+1
3b = 6 x 7
b = 42/3
b = 14
Select Yes or No to state whether each data set is likely to be normally distributed.
number of tables in Honeycomb Cafe
number of patrons in Honeycomb Cafe at noon
number of minutes it takes to be served at Honeycomb Cafe
Answer:
number of tables in Honeycomb Cafe- No
number of patrons in Honeycomb Cafe at noon- No
number of minutes it takes to be served at Honeycomb Cafe- Yes
Step-by-step explanation:
Normal Distribution is for continuous data.
time is continuous but no. of tables and patrons is discrete
Segment Line segment X Y is dilated using a scale factor of Two-thirds through P. Which segment shows the correct result of the dilation?
Answer:
We need the segments but which ever one has the segment that is 2/3 times the length of segments xy
Step-by-step explanation:
Answer: line c
Step-by-step explanation: I got it correct
Given: 6|x/3| < 18
Part A: Show the step(s) to get the absolute value expression by itself.
Part B: Write the two equations used to solve the absolute value equation.
Part C: Solve the equations and check your equations.
Answer:
see below
Step-by-step explanation:
6|x/3| < 18
Divide by 6
6/6|x/3| < 18/6
|x/3| < 3
Now we get two equations, one positive and one negative, remembering to flip the inequality
x/3 < 3 x/3 > -3
Multiply by 3 to isolate x
x/3 *3 < 3*3 and x/3*3 > -3*3
x < 9 and x > -9
Rewriting
-9 < x<9
Check -12
6|-12/3| < 18
6|-4| <18
24<18 False good
Check 0
0<18 true
Check 12
6|12/3| < 18
6|4| <18
24<18 False good
Correct answers only!
To the nearest cent, how much will he have in 2 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer: $44.10
Step-by-step explanation:
We are given our p, r, t in the problem.
p=40 (starting amount)
r=0.05 (5%)
t=2 (years)
With the given information, we can plug this into our equation.
B=p(1+r)^t
B=40(1+0.05)^2
B=44.1
Find the distance between
(-1, - 3) and (8, – 3).
Answer: d (A,B) = 9
Step-by-step explanation: d(A,B) = √(xB - xA)^2 + (yB - yA)^2
d(A,B) = √(8-(-1))^2 + (-3 - (-3))^2
d(A,B) = √81 + 0
d(A,B) = 9
I need the work for this please
Answer:
(x^4/3)^3/2 = x^a
<=>
x^[(4/3)x(3/2)] = x^a
<=>
x^2 = x^a
<=>
a = 2
A shelf at a grocery store contains 500 packages of corn and flour tortillas. If 22% of the packages are flour tortillas how many packages are corn tortillas
Can someone Help me with this
Answer:
33.165
Step-by-step explanation:
Answer:
33.165
Step-by-step explanation:
4.95*6.7= 33.165
hope this helps
Write the standard form of the line that passes through the given points. (-3,5) and (-2,-6)
Answer:
Step-by-step explanation:
What you’ll do is subtract -3 and -2 and then subtract 5 and -6
Concert tickets were originally priced at $65. When you use your coupon to buy a ticket you receive a discount of 25%. There is a service free of 12% applied to the discounted price. How much do you have to pay for the ticket?
Answer: 56.55
Step-by-step explanation: im assuming there was a typo and instead of free its fee so 25%-12% is 13% and 100%-13% is 87% therefore 87%of 65 is equal to 56.55
A lot is 60m by 34 m. A house 25 m by 9 m on the lot. How much area is left over
Answer:
The left over area is 1,815 m.
Step-by-step explanation:
60x34= 2,040
25x9=225
2040-225= 1,815.
Ashley collects colored golf balls from a miniature golf course. She will randomly select one ball from her collection of 9 blue, 7 magenta, and 2 purple golf balls. Develop a probability model based on theoretical probability.
1. What is the total number of colored golf balls in Ashley’s collection?
2. What is the sample space?
S =
3. What is the theoretical probability that each event in the
sample space occurs?
Answer:
18 golf balls in all, 1/18 is the answer
Step-by-step explanation:
Answer:
1. 18
2. {blue, magenta, purple}
3. P(blue) = 1/2
P(magenta) = 7/18
P(purple) = 1/9
Step-by-step explanation:
Total balls:
9 + 7 + 2 = 18
Sample space: all possible outcomes
{blue, magenta, purple}
P(blue) = 9/18 = 1/2
P(magenta) = 7/18
P(purple) = 2/18 = 1/9
Solve for the value of x and y
The value of x is 35° and the value of y is 72.5°
Hope this helps! If you have any more questions or need any further explanation then please comment down below or message me! Good luck!
Can someone pls help me find the value of b and x??
Answer: b = 126,8
Step-by-step explanation:
c = 53,2
d = 90
90
b = 360 - 90 - 90 - 53,2 = 126,8
Kelly is going to shop with the $200.00 that she earned from doing chores. She wants to save 30% of her money to put into a savings account. She buys a sweater for $60.00 and a new coat for $75.00, with 6% sales tax on both items. Does Kelly still have the amount of money she planned to put into her savings account?
Answer:
No she won't
Step-by-step explanation:
200(0.30)=60
60(0.06)=3.6
60+3.6=63.6
75(0.06)=4.5
75+4.5=79.5
79.5+63.6=143.1
200-143.1=56.9
56.9<60
Solve the equation.
29= p x 20
p= __
Answer:
1.45
Step-by-step explanation:
1. divide both sides of the equation by 20 to get rid of the 2o on the right side
[tex]\frac{29}{20}[/tex]= p x [tex]\frac{20}{20}[/tex]
now u end up with 1.45=p
hope it helped
What is the mean and median of 73 45 88 90 90 81 83
Answer:
Mean = 78.5
Median = 83
Edith wants to make a paperweight at pottery class. She wants the paperweight to have a pyramid-like shape with a base area of 120 square centimeters, and she wants it to weigh 400 grams. The density of the clay she is using is 1.6, point, 6 grams per cubic centimeter.
What should be the height of the paperweight?
Answer: 6.25
Step-by-step explanation:
I took the quiz on Khan Academy and it’s right.
PLEASE HELP!!!!!The table below shows the data for a random sample of fish that were collected from and later released into a lake:
Type of Fish Catfish Grass Carp Bluegill
Number of Fish 52 61 87
How many bluegills are estimated to be present if a sample of 800 fish is collected from the lake? (5 points)
148
174
244
348
Answer:B
Step-by-step explanation:
All you have to do is multiply
3(x + 4)(x – 5)
Find the product
Answer:
I got 3x^2 -3x-60
but you might wanna check again.
What’s the value of x?
Answer:
19
Step-by-step explanation:
In any triangle, the sum of the measures of the angles is 180 degrees.
(5x + 5) + (x + 16) + (2x + 7) = 180
Combine like terms.
8x + 28 = 180
8x = 152
x = 19
Someone please help
Answer:
42
Step-by-step explanation:
The difference of each letter times 2 get you the next number in the sequence.
Find F(-2)
F(x)=5^x
A=1/25
B=1/10
C=-10
D=-25
If I take the shortest route do I take a new road ? Please explain. How far is the longer route than the shorter route and assume they are all straight. This is Pythagorean theorem.
Answer:
the new road is new so it will be a new way which makes it shorter if yuo think about it
The equation Ax - 4y + 2 = 0 represents a linear relation.
Determine the value of A if the point (6,5) belongs to the relation.
Answer:
The value of A is 3.
Step-by-step explanation:
In order to determine the value of A if the point (6,5) belongs to that linear relation, we need to apply the coordinates for that point on the equation and solve it for A. This is shown below:
A*x - 4*y + 2 = 0
A*(6) - 4*(5) + 2 = 0
6*A -20 + 2 = 0
6*A - 18 = 0
6*A = 18
A = 18 / 6
A = 3
The value of A is 3.
You have bag filled with 6 red marbles, 4 blue marbles, and 8 yellow marbles. What is the probability of pulling out a red marble?
Step-by-step explanation:
Simple
Total no of marbles = 6 + 4 + 8 = 18
Probability of red marble = 6 / 18 = 1/ 3
Select the correct answer. Maxine owns a food truck that sells cups of frozen yogurt. The revenue, y in dollars, Maxine makes from selling x number of frozen yogurts is recorded in the table below. x 38 44 55 62 76 y 68.42 76.38 83.61 80.27 74.75 If y = -0.03x2 + 3.52x - 21.86 is the equation for the curve of best fit for the given data, about how much revenue will Maxine make when she sells 90 cups of frozen yogurt? A. $41.79 B. $83.61 C. $67.74 D. $51.94
Answer:
$51.94
Step-by-step explanation:
Rewrite the equation by completing the square.
4x2 + 28x + 49 = 0
(x+) =
Answer: x = - 3.5
Step-by-step explanation:
Rewrite the equation by completing the square.
4x2 + 28x + 49 = 0
Completing the square method :
Divide through by the Coefficient of x^2
x^2 + 7x + (49/4) = 0
a = 1, b = 7, c = 49/4
Move c to the right side of the equation
x^2 + 7x = - 49/4
Complete the square on the left hand side by squaring its half of the x term
(7/2)^2 = (49/4)
Add the output to both sides of the equation
x^2 + 7x + (49/4) = - (49/4) + (49/4)
(x + 7/2)^2 = 0
Square root of both sides
x + 7/2 = 0
x = - 7/2
x = - 3.5
Answer:
x = - 3.5
Step-by-step explanation:
Translate the expression with rational exponents. Simplify if necessary
Answer: 27
Step-by-step explanation:
The expression given is inside a cube root. This is a simplified version of a fractional exponent, 1/3.
We can take the expression outside of the radical to get this:
3 ^ 9 ^ (1/3)
When an exponent is raised to another exponent, multiply the exponents and keep the base the same:
3 ^ (9 * 1/3)
3 ^ 3
The expression is equal to 27.
probability spinning a 6 and flipping tails
Answer:
Probability of spinning a six, and I'm guessing on a spinner with six numbers would be 1 and 6, 1:6, or 1/6. Flipping tails would be 1 and 2, 1:2, or 1/2
Step-by-step explanation:
