9514 1404 393
Answer:
4.5
Step-by-step explanation:
It appears the 5 integers must be {3, 3, 4, 5, 7}.
For the mode to be unique, there must be more than one '3', and there cannot be any other repeated numbers. For 4 to be the median, it must be the 3rd-highest number. Then the remaining numbers must be integers greater than 4 with a sum of 12 for the mean to be 4.4.
When 8 is added to the collection, the median is now the average of 4 and 5, so is 4.5.
The new median is 4.5.
_____
Comment on vocabulary
mean: the sum of numbers divided by the number of numbers. 5 numbers with a mean of 4.4 will have a sum of 5×4.4 = 22.
median: the middle number of a collection of an odd number of numbers, when sorted from lowest to highest. It is the 3rd number of a group of 5 numbers. When there are an even number of numbers in the group, the median is the average of the middle two in the sorted list. Here, that means the 3rd number in the list of 5 is '4'. When 8 is added, 4 becomes one of the numbers contributing to the average that will be the new median.
mode: the member of the group that appears the most times. When the mode is unique, it means there are no other numbers repeated as often. Here, we know the 3rd number (of 5) is 4, so there can only be two numbers '3' in the collection. That 3 is the unique mode means no other numbers are repeated at all.
Are triangles ABC and ADC congruent?
B
с .
A
Yes, by SSS
Yes, by ASA
Yes, by SAS
Not enough information
Answer:
i need a graph to answer this
Step-by-step explanation:
Determine whether each number is rational or irrational
Answer:
B C E G J
Step-by-step explanation:
Marco earns $16 an hour plus $21 an hour for every hour of overtime. Overtime hours are any hours more than 35 hours for the week.
Part A: Create an equation that shows the amount of money earned, E, for working x hours in a week when there is no overtime. (3 points)
Part B: Create an equation that shows the amount of wages earned, T, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 35 hours. (3 points)
Part C: Marco earned $602 in 1 week. How many hours (regular plus overtime) did he work? Show your work. (4 points)
(10 points)
NEED HELP ASAP
Part A: Create an equation that shows the amount of money earned, E, for working x hours in a week when there is no overtime. (3 points)
x hours in a week and there is no overtime and x <= 35 so equation:
E(x) = 16x
Part B: Create an equation that shows the amount of wages earned, T, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 35 hours. (3 points)
Regular hours = E(x) = $16 x 35 = $560
T(y) = 21y + 560
Part C: Marco earned $602 in 1 week. How many hours (regular plus overtime) did he work? Show your work. (4 points)
21y + 560 = 602
21y = 42
y = 2
Marco worked 37 hours (35 regular plus 2 hours overtime)
Jane has 8 pencils and 10 erasers. What is the ratio of erasers to pencils?
Answer:
10:8 or 10 to 8
both the same thing worded differently.
Step-by-step explanation:
There are 10 erasers and 8 pencils so you say 10:8
Write the equation of a line in slope intercept form that has a slope of 7/4 and a point at (0,-3)
Answer:
y=7x/4-3
Step-by-step explanation:
We can use the formula y=mx+b. m=slope so y=7/4x+b. We know that the line intersects the point (0,-3) so we plug it in, x=0 and y=-3. -3=(7/4)*0+b. b=-3. Therefore, the equation is y=7x/4-3.
Did I get these right?
I turned it in and it says we got one wrong(out of those blanks). I've checked over it several times but I can't figure out which one. Could you guys help me figure out which one and what is the answer?
Answer:
Try as percentages so
7) 37.5%
8) 50%
9) 12.5%
10) 62.5%
11) 87.5%
12) 50%
13) 62.5%
14) 37.5%
15) 100%
Step-by-step explanation:
Consider the product P(x) = (3x2 - 6x + 2)(7x + 3).
What is the numerical coefficient of the x term in P(x)?
Enter only a number for your answer.
Answer:
-4
Step-by-step explanation:
Notice that the only way to multiply 2 numbers from each of the polynomials and get an x term is to multiply a constant and an x term.
The only ways to do that is to multiply -6x by 3 and 7x by 2.
After you're done multiplying, just combine the 2 like terms:
-18x+14x
=-4x
Therefore, the coefficient of the x term is -4.
A rectangular field measures 400m by 900m, what is the perimeter of the field:
(A) in meters
(B)kilometers
Answer:
a) 1790 b) 1.79
Step-by-step explanation:
a) you just add to get the perimiter 2(900) + 2(400) to get 1790
b) 1000 meters makes a kilometer so we divide by 1000 and get 1.79 for the kilometers
27 = -4x + 11
I need hello pronto
Answer:
x = -4
Step-by-step explanation:
27 = - 4x + 11
solve using inverse operations
27 = -4x + 11
-11 -11
16 = -4x
/-4 /-4
-4 = x
Coming in at lunch for extra math help has really paid off! You started out scoring
18 points on each quiz, but your number of points has been increasing 36% per
month for the last 5 months. How many points are you now earning per quiz?
Answer:
83 points.
Step-by-step explanation:
Line segment RS has endpoints R(5,7) and s(-1,-2).
What are the coordinates of the midpoint of RS?
Answer:
Midpoint = (2,2.5)
Step-by-step explanation:
Line segment RS has endpoints R(5,7) and S(-1,-2)Midpoint = [tex](\frac{5 + -1}{2} , \frac{7 + -2}{2} ) = (2,2.5)[/tex]
At the gym, Garson always completes 3 pull-ups for every 8 sit-ups he does. Last night, Garson completed 24 sit-ups. Which ratio represents the relationship between the number of pull-ups and the number of sit-ups Garson completed last night?
Answer:
9:24 simplifies to 3:8
Step-by-step explanation:
3:8
24/8=3
3*3=9
last night he did 9 pull ups and 24 situps
Solve the following compound inequality.
Answer:
C
Step-by-step explanation:
Given
5x + 7 ≤ - 3 or 3x - 4 ≥ 11
Solve the inequalities either side of the or
5x + 7 ≤ - 3 ( subtract 7 from both sides )
5x ≤ - 10 ( divide both sides by 5 )
x ≤ - 2
or
3x - 4 ≥ 11 ( add 4 to both sides )
3x ≥ 15 ( divide both sides by 3 )
x ≥ 5
Solution is x ≤ - 2 or x ≥ 5 → C
Answer:
c. x<_-2 OR x>_5
The ratio of basketballs to volleyball in the gym is 3 to 5. If there are 60 volleyball in the gym, how many basketballs are there?
All freshman are required to attend orientation. if-than
Answer:
yes
Step-by-step explanation:
you just need too
Geometry. Please help. I will mark you as brainliest.
Answer:
answer is P is wright answer
Evaluate
14/75
×
15/22
Give your answer as a fraction in its simplest form.
Answer:
[tex] \frac{14}{75 } \times \frac{15}{22} = \frac{7}{55} [/tex]
Step-by-step explanation:
[tex]75 \div 15 = 5 \: 14 \div 2 = 7 \: 22 \div 2 = 11[/tex]
The value of the fraction is given by the equation A = 7 / 55
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the first fraction be represented as p = 14/75
Let the second fraction be represented as q = 15/22
Now , A = p x q
Substituting the values in the equation , we get
A = ( 14/75 ) x ( 15/22 )
A = 210 / 1650
A = 42 / 330
A = 14 / 110
A = 7/55
Therefore , the value of A is 7/55
Hence , the fraction is A = 7/55
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ1
Gary recently went to the local grocery market to purchase some tomatoes. He bought 4 pounds of tomatoes for $5.96. How much is one pound of tomatoes?
Group of answer choices
$1.59
$1.49
$1.39
$1.69
1. If m28 = 23°, find the measure of each missing angle. Give your reasoning.
a. m21 =
b. m 2 =
c. mZ3 =
d. m24 =
e. m25 =
f. m26 =
g. m27 =
Answer/explanation:
Given:
m<8 = 23°
a. m<1 = 180° - m<8 (corresponding angles theorem and supplementary angles theorem)
m<1 = 180 - 23 = 157°
b. m<2 + m<1 = 180° (linear pair)
m<2 + 157° = 180°
m<2 = 180° - 153° = 23°
c. m<3 = m<1 (vertical angles are congruent)
m<3 = 157°
d. m<4 = m<2 (vertical angles are congruent)
m<4 = 23°
e. m<5 = m<1 (corresponding angles)
m<5 = 157°
f. m<6 = m<8 (vertical angles are congruent)
m<6 = 23°
g. m<7 = m<5 (vertical angles are congruent)
m<7 = 157°
Rewrite the following equation in standard form.
y + 4 = 5(x - 8)
Answer:
5x-y-36=0
Step-by-step explanation:
y+4=5x-40
5x-y=36
Which of the following best describes a point of symmetry?
Answer:
The point about which an image is rotated in rotational symmetry
Hope this helps :)
Answer:
Centre
Step-by-step explanation:
A point of symmetry is a line where a 2d or 3d drawing or object can be parted in halves leaving no excess
Please help fast
If you drew lines to model the verbal statement, the equation, and the table that you created in the three parts of question 1, would you get the
same line for all three? Explain
Answer:
The resulting line will be the same for all three because the verbal statement, the equation, and the table all represent the same situation. They just do it in different ways.
Answer:
The resulting line will be the same for all three because the verbal statement, the equation, and the table all represent the same situation. They just do it in different ways.
Step-by-step explanation:
-2x - y = -13
2x + 2y = 8
Answer:
the first one is (6.5,13)
the second one is (4,4)
Step-by-step explanation:
-2x-0=-13
-2x=-13 divide -2 by -13
x=6.5
-2(0)-1y=-13
0-1y=-13
-1y=-13
13
so that gives you (6.5,13)
2x+2(0)=8
2x+0=8
2x=8 divide two by eight
x=4
2(0)+2y=8
0+2y=8
2y=8 divide two by eight
y=8
a forth of all students im Mr.Flitch class of 24 got A on the last math test.How many kids scored below A on the test?
A forth can be represented as 25% or 0.25 as a decimal. (100/4 = 25)
To determine how many kids got an A, we figure out was 25% of 24 is.
0.25 x 24 = 6
Therefore, 6 kids in the class got an A.
What is the slope on this graph PLEASE HELP FAST!!!
Answer:
slope = 6
Step-by-step explanation:
slope = rise/run
rise = 12 run = 2
Solve the inequality -3/5 < r -3/5 how to solve
Answer:
Step-by-step explanations:
Answer:
r > 0 should be your answer
0 , and that infinity symbol (i cant find it :/)
3 5/12 + 1 3/8
I am to lazy i am needed for answer cause my eyes fell off
Answer:
4 19/24
......................................
◑﹏◐
i really really need help
Answer:
with what? i can help you more than likely if you tell me what you need help with.
Step-by-step explanation:
Solve the system of equations.
y = 6x + 13
y = 2x + 1
Answer:
x=-3. y=-5
Step-by-step explanation:
Equating both equations,
6x + 13 = 2x + 1
6x - 2x = 1 - 13
4x = -12
x = -3
Plug in the value of x in the given first equation,
y = 6* (-3) + 13 = -18 + 13 = -5
Answer:
{y,x} = {-5,-3}
Step-by-step explanation:
System of Linear Equations entered
y - 6x = 13
y - 2x = 1
Graphic Representation of the Equations
-6x + y = 13 -2x + y = 1 (attached)
Solve by Substitution
y = 2x + 1
(2x+1) - 6x = 13
- 4x = 12
4x = - 12
x = - 3
y = 2x+1
x = -3
y = 2(-3)+1 = -5 (final answer)
hope it helps you!
