Answer:
A. $ 46
B. 12 people.
Step-by-step explanation:
From the question given above, we obtained the following:
C(x) = 6.5x + 20
Where:
C => total cost of bowling
x => number of people
A. Determination of the of bowling for 4 people.
Number of people (x) = 4
Total cost (C) of bowling =?
C(x) = 6.5x + 20
C(4) = 6.5(4) + 20
C(4) = 26 + 20
C(4) = $ 46
Thus, it will cost $ 46 for 4 people to bowl
B. Determination of the number of people that can bowl for $ 98.
Total cost (C) of bowling = $ 98
Number of people (x) =?
C(x) = 6.5x + 20
98 = 6.5x + 20
Collect like terms
98 – 20 = 6.5x
78 = 6.5x
Divide both side by 6.5
x = 78 / 6.5
x = 12
Thus, 12 people can bowl for $ 98.
3. The two lines graphed on the coordinate grid each represent an equation.
y
O
(-2, 6)
(3,5)
(-6, 2)
X
O
O
9-8-7-6 -5 -3 2 -1
12
4 5 6
7 8 9
K-6, -6)
CLEAR
Which ordered pair represents a solution to both equations?
Answer:
Step-by-step explanation:
(-4,0)
can someone plz solve this 3.2/9 = x/36
Answer:
The answer is 12.8
Step-by-step explanation:
I looked it up
An angle measures 130° more than the measure of its supplementary angle. What is the measure of each angle?
Answer:
An angle measures 130° more than the measure of its supplementary angle.
Therefore the required angle is (180°-130°)°=50°
50° is the right answer.The measure of the angle is A = 50° and the supplementary angles are given by 130° and 50°
What are Supplementary and Complementary Angles?Supplementary angles are two angles that have a sum of 180°.
Complementary angles are two angles that have a sum of 90°.
Given data ,
Let the first angle be represented as A
Now , the value of A is
Let the second angle be represented as B
And , the value of B is B = 130°
The angles A and B are supplementary
So , A + B = 180°
On simplifying , we get
The measure of A + 130° = 180°
Subtracting 130° on both sides , we get
The measure of angle A = 180° - 130°
The measure of angle A = 50°
Hence , the measure of angle is 50°
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explain why 15 + 1/2n is an algebraic expression
The expression 15 + 1/2n is an algebraic expression because, the expression contains a variable and this variable is Variable n.
Discussion:
A determining factor for concluding which expression is algebraic or not is the presence or absence of a variable.
However, in this case, the expression, 15 + 1/2n is an algebraic expression due to the fact that it contains a variable, n.
Read more on algebraic expressions;
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There were 26 students in the classroom. 14 of the students went to the cafeteria and the rest went to the gym. What percentage of students went to the cafeteria?
Answer:
About 53% percent of the students went to the cafeteria.
Step-by-step explanation:
there are 26 students and 14 left that can be put into the fraction 14/26.
To find the percentage you then divide 14 by 26 and turn it into a percent and you get something like 53.846... but you can simplify it to 53%
Answer
54
Step-by-step explanation:
The weight of an object on the moon is 1/6 its weight on earth. If a bowling ball weighs 12 and 1/2 pounds on earth, how much does it weigh on the moon?
Please help me with these math problems! I have had so much going on lately and haven't had time to do them
Will give lots of points and make brainliest please help
tan A = 3/4
tan B = 4/3
tan S = 12/5
tan Q = 5/12
Select all of the ratios that are equivalent to 6:16. 2:8 3:8 1218 3080 18 to 48
Answer:
c and d
Step-by-step explanation:
The equivalent ratios to 6 : 16 are, 3 : 8, 30/80 and 18 to 48.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, A ratio 6 : 16 = 3 : 8.
So, One equivalent ratio is 3 : 8.
Now, Going through options,
10×3 : 10×8.
= 30 : 80.
= 30/80.
6×3 : 6×8.
= 18 : 48.
= 18 to 48.
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i need some help pls :'(
Answer:
a
Step-by-step explanation:
The graph of a linear function is shown on the grid . What is the slope of the line
A) -10
B) -3/2
C) -2/3
D) 2
The slope of the equation is 2. Then the correct option is D.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
The graph of a linear function is shown on the grid.
From the graph, the points are (-2.5, 0) and (0, 5) and the y-intercept is 5. The slope of the line is given as,
m = (5 - 0) / (0 + 2.5)
m = 5 / 2.5
m = 2
The slope of the equation is 2. Then the correct option is D.
More about the linear equation link is given below.
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The missing graph is attached below.
8. Put these numbers into least to greatest order: 8/10, 0.08, 81%, 0.7
ANSWER
0.08 then 0.7 then 8/10 then 81%
Explanation
im going to put everything into fraction because i think it would be easier for u to understand
8/10 > 80/100
0.08> as a fraction is > 8/100
81% as a fraction is 81/100
and last but not least, 0.7 as a fraction is 70/100
so order these from least to greatest
8/100 then 70/100 then 80/100 and then 81/100.
so it would be
0.08 then 0.7 then 8/10 then 81%
^is ur answer
hope this helps.
:)
5 star and brainliest please?
Determine which choice best shows the distributive property of multiplication.
Question 2 options:
1 × 6 = 6
6 × 9 = 9 × 6
6 × (9 + 8) = (6 × 9) + (6 × 8)
6 × (9 × 8) = (6 × 9) × 8
Answer:
c) 6× (9+8) = (6 × 9) + (6× 8)
Step-by-step explanation:
Distributive property of multiplication
The distributive property of multiplication
a(b+c) = a b + a c
(a+b)c = ac + bc
6× (9+8) = (6× 9) + (6×8)
Solve the system of equations by substitution - 5x+8y= -86
y=6x-43
Answer:
(6 ,-7)
Step-by-step explanation:
[tex] - 5x + 8y = - 86 \\ y = 6x - 43 \\ - 5x = - 86 - 8y \\ x = 17.2 + 1.6y \\ y = 6(17.2 + 1.6y) - 43 \\ y = 103.2 + 9.6y - 43 \\ 8.6y = - 60.2 \\ y = - 7 \\ [/tex]
[tex]x = 17.2 + 1.6( - 7) \\ x = 17.2 - 11.2 \\ x = 6[/tex]
Fatoumata observes marble travel along a horizontal path at a constant rate. The marble travels 1/12 of the length of the path in 4 2/3 seconds. At that rate, how many seconds does it take the object to travel the full length?
Isaac was having cookies and milk with his
little brother. He got out a jug that held
16 cups of milk. Isaac drank 1 cups and
his brother drank 12 cups. How much
milk was left in the jug?
Answer:
There is now 3 cups of m ilk left in the jug.
Step-by-step explanation:
12+1=13 | 13-16=3
ANSWER: 3
imma look what dis is
Answer:
its loading but ill help!
Step-by-step explanation:
A popular soft drink is sold in 2-liter (2,000-milliliter) bottles. Because of variation in the filling process, bottles have a mean of 2,000 milliliters and a standard deviation of 20, normally distributed. a. If the process overfills the bottle by more than 50 milliliters, the overflow will cause a machine malfunction. What is the probability of this occurring
Answer:
0.0062 = 0.62% probability of this occurring
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 2000, \sigma = 20[/tex]
a. If the process overfills the bottle by more than 50 milliliters, the overflow will cause a machine malfunction. What is the probability of this occurring
Probability of filling the bottle with more than 2000 + 50 = 2050 milliliters, which is 1 subtracted by the pvalue of Z when X = 2050. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2050 - 2000}{20}[/tex]
[tex]Z = 2.5[/tex]
[tex]Z = 2.5[/tex] has a pvalue of 0.9938
1 - 0.9938 = 0.0062
0.0062 = 0.62% probability of this occurring
The ratio of two numbers is 7:5. The product of these numbers is 140. What is the smaller if these two numbers?
Step-by-step explanation:
7x×5x=140
35x²=140
x²= 4
x=2
Smaller number = 5x = 5×2=10
Hope this helps you.
GEOMETRY Find the perimeter of the regular polygon.
3(x - 1)
5x - 6
Answer:
7.5
Step-by-step explanation:
The perimeter of the regular pentagon will be 7.5 units.
What is the perimeter of the regular polygon?All the sides of the regular polygon are congruent to each other. The perimeter of the regular polygon of n sides will be the product of the number of the side and the side length of the regular polygon.
P = (Side length) x n
The sides of the regular polygon are 3(x - 1) and (5x - 6). Then the value of the variable x will be
3(x - 1) = 5x - 6
3x - 3 = 5x - 6
2x = 3
x = 1.5
Then the side length of the regular pentagon will be
Side = 3(1.5 - 3)
Side = 3 (0.5)
Side = 1.5
Then the perimeter of the regular pentagon will be
P = 5 x 1.5
P = 7.5 units
The perimeter of the regular pentagon will be 7.5 units.
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a. Miss Butler made a circle graph to show the grades on the term papers. There were 14 B's, 10 A's, and 8 C's.
PLEASE ANSWER ASAP !!!!!!!!!!!!!!!!!!! WILL GET BRAINLEST IF CORRECT!!!!!!!!!!!!!!!!!!!!!!
Answer:
55 degrees
Step-by-step explanation:
k ≥0
plz help
what is it?
[tex]\text{Hey there!}[/tex]
[tex]\bold{The\ result\ should\ be\ the\ same\ thing\ as\ the\ equation... You\ don’t}\\\bold{have\ enough\ information\ to\ solve\ for\ it!}[/tex]
[tex]\boxed{\bold{Answer: k\geq 0\boxed{\bold{It\ is\ a\ CLOSED\ circle\ SHADED\ to\ the\ RIGHT}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1048}[/tex]
Boxes of cereal are labeled as containing 14 ounces. Following are the weights, in ounces, of a sample of 12 boxes. Assume that the population is normally distributed. 14.02 13.97 14.11 14.12 14.1 14.02 14.15 13.97 14.05 14.04 14.11 15.08 Find the sample standard deviation s. Round the answer to three decimal places.
Answer:
There are multiple answers
Step-by-step explanation:
John estimates that there is 150 people at the party . After counting, there are actually 148 at the people . Fine the percent error
Answer:
Step-by-step explanation:
The estimate was off by 2 people. The error was thus -2/148, or about 1%.
A line that includes the points (-9,-5) and (-10, j) has a slope of -10. What is the value of J
Answer:
j = -15
Step-by-step explanation:
Given that,
A line that includes the points (-9,-5) and (-10, j) has a slope of -10.
The slope of a line for which two points are given is :
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\-10=\dfrac{j-(-5)}{-10-(-9)}\\\\10=\dfrac{j+5}{-10+9}\\\\10=\dfrac{j+5}{-1}\\\\-10=j+5\\\\j=-10-5\\\\j=-15[/tex]
So, the value of j is equal to -15.
I need help please.
Answer:
D 18 percent
Step-by-step explanation:
So a percent s out of a hundred and you have 50 so it is more easy to double everything and make it a hundred
the equation should be 18 is what percent of 100 which is the same thing as 18/100
18 divided by 100 is .18
Will the answer to the following expression be Positive or Negative?
(-3)(2)(15) =?
a
Positive
b
Negative
Answer:
Negative
Step-by-step explanation:
Bevause negative times positive is negative
Answer:
Negative
Step-by-step explanation:
(−3)(2))(15)
=(−6)(15)
= −90
so it's negative 90 hopefully this helps
What’s the answer pls
Answer:
Step-by-step explanation:
There is no bird on the spinner. therefore the answer is impossible because there is no bird.
Answer:
Impossible - There's no bird on the wheel.
Step-by-step explanation:
Distribute -2(c - 8)
Answer:
-2c + 16-Step-by-step explanation:
give me brainliest pleasegiven:
[tex]-2(c-8)[/tex]
[tex]-2(c) + -2(-8)[/tex]
[tex]-2c + (--16)[/tex]
[tex]-2c + (+16)[/tex]
[tex]-2c+16[/tex]
Answer:
Step-by-step explanation:
-2*c - (-2)*8 = -2c + 16
The circumference of a circle is 14 pi ft. Find its diameter, in feet
Answer:
14
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Answer:
The formula for area of a circle is:
A
=
π
r
2
, where
A
=
area,
π
=
22
7
, and
r
=
radius.
Since we know that the radius is half the diameter of a circle, we know that the radius of the given circle is
14
2
=
7
f
t
.
Hence:
A
=
π
r
2
A
=
22
7
×
7
2
A
=
22
7
×
7
×
7
A
=
22
7
×
7
×
7
A
=
22
×
7
A
=
154