Answer: It would be 4b+44
Step-by-step explanation:
This is the distributive property! so a(b+c)=ab+ac
In this case–4b+44!
Answer:
A. 4b + 44
Step-by-step explanation:
To simplify the expression, we can distribute the 4 to each term in the parenthesis, which means to multiply 4 be each term.
4(b) + 4(11) = 4b + 44
Therefore, the correct option is A.
hope this helps!
math please help me
Answer:
1, 3
Step-by-step explanation:
1. 2.3 - 2.3 = 0
2. -3.7 + -4.1 = -7.8
3. -2.6 - (-12/4) = 0.4 = 4/10 = 2/5
4. 5/2 + (-2.5) = 0
5. 72- (-100)
72+100 = 172
Johnson can tile a 100 square foot floor in 7 hours. Nathan can tile the same area in 9 hours. Enter an equation that can be used to find the time in hours,t it would take Johnson and Nathan to tile a 100 square foot area together.
The equation that can be used to find the time t, in hours, it would take Johnson and Nathan to tile a 100 square foot area together is 3.9375 hours, which approximates to 4 hours.
How are number of people to time needed to complete a task related?More people to do a task means less time it will take.
Less people to do a task means more time it will take.
Thus, they are inversely related.
If x men take y time for a work,(assume all men have same strength)
We can define a constant as "Manpower" needed for doing that specific work.
Let we define:
Manpower needed for a work = y + y + y + .. + y = Time per man × count of men
Manpower needed for a work = xy
For this case, we're specified that:
Work in consideration = Tiling 100 sq. foot floorTime it takes by Johnson to do this work = 7 hoursTime it takes by Nathan to do this work = 9 hoursSo, we see that strength of Johnson and Nathan are different.
Let the general manpower (from some frame of a general public or any third frame) needed by this work be M.
Then, Johnson delivers M manpower in 7 hours or M/7 manpower in one hour.
In the similar way, Nathan delivers M/9 manpower per hour.
Thus, if Nathan and Johnson work together, they can deliver: [tex]\dfrac{M}{9} + \dfrac{M}{7} = M\dfrac{9+7}{63} = \dfrac{16M}{63}[/tex] manpower per hour.
Let it takes them together h hours to complete the work.
That means, in 'h' hours, their together work power will accumulate to M manpower.
Or, we can say:
[tex]h \times \dfrac{16M}{63} = M\\\\h = \dfrac{63M}{16M} = \dfrac{63}{16} = 3.9375[/tex]
Thus, the equation that can be used to find the time t, in hours, it would take Johnson and Nathan to tile a 100 square foot area together is 3.9375 hours, which approximates to 4 hours.
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PLEASE HELP ME! For a geometric sequence, if a1 = 2 and a5 = 1250, what is the value of r?
Answer: r = 5
Steps:
[tex]a_n=ar^{n-1}[/tex]
1. add Values to formula
[tex]1250=2r^{5-1}[/tex]
2. get r alone
[tex]\frac{1250}{2}=\frac{2r^{4}}{2}[/tex] ➜ [tex]625= r^4[/tex]
3. get rid of the exponents
[tex]\sqrt[4]{625}= \sqrt[4]{r^4}[/tex] ➜ [tex]\sqrt[4]{625}= r=5[/tex]
r = 5
Which matrix multiplication is possible?
[0 3]*[1 -4]
[3 -2]*[-1 0 0 3]
[1 0 1 1]*[3 0]
[1 -1]*[0 4]
Answer:
matrix multiplication is possible in this matrix
Step-by-step explanation:
[tex] ( \frac{1}{ - 1} ) \times (0 \: \: 4)[/tex]
Answer:
D
really sorry if wrong
but I am positive that is the answer
2 is greater than or equal to −11
Answer:
The statement is true
Step-by-step explanation:
Positive numbers are always greater than negative numbers, so the statement would be true
s A bag contains 9 red marbles, 6 white marbles, and 7 blue marbles. Randomly choose two marbles, one at a time, and without replacement. Find the following. The probability that the first marble is white and the second is blue
What is the volume of this shape?
Each of these labelled bags contains two apples.
One bag contains two green apples, another two red apples and the third one green and one red apple.
All three bags are mislabelled. You may look at only one apple from any one of the bags.
Which bag should you select from to be sure you can determine the content of all three bags?
- Bag 1 ?
-Bag 2 ?
-Bag 3 ?
Step-by-step explanation:
all bags are mislabeled. that means, whatever is written on either of the 3 bags, is wrong.
so, the bag labeled "green" is NOT the one with 2 green apples. the one labeled "red" is NOT the one with 2 red apples.
and - my favorite - the one labeled "red/green" is NOT the one with the mixture.
so, we pick one apple from the bag that is currently (mis-)labeled as "red/green".
as it cannot be the mixed bag, it must be one of the pure color bags.
whatever color shows up, we know this is the bag with 2 apples of that color.
then the bag that was labeled with that color must be the other pure color (if it were the mixed bag, it would mean that the third bag was labeled correctly, which is not the case). and then the third bag is the mixed one.
for example :
we get a red apple in our first pick.
so, the bag, that was originally (but wrongly) labeled as "red/green" gets the label "red".
then the bag with the original (but again wrong) label "green" gets now the label "red".
and the third bag with the original (but wrong) label "red" gets the "red/green" label.
if the first apple is green, then the same principle just with reversed colors applies.
Julie earns $14 per hour at her job. Last week she earned $336. Which equation can be used to determine the number of hours, h, that Julie worked last week.
Health-Related Fitness is
A. The ability of a muscle group to exert a force against a resistance for an extended period of time.
B. The components of physical fitness that is associated with some aspect of overall good health.
C. The ability of the body to supply oxygen and energy during prolonged physical activity.
D. The ability to carry out skilled actions that require coordination between the nervous system and the muscular system.
Answer:
It's A. The ability of a muscle group to exert a force against a resistance for an extended period of time.
There are 11 runners in a race. Medals are awarded for 1st, 2nd, and 3rd place. In how many different ways can the medals be awarded?
a.330
b.990
c.110
d.165
Then the number of the ways that the medals can be awarded will be 165. Then the correct option is D.
What are permutation and combination?A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.
There are 11 runners in a race. Medals are awarded for 1st, 2nd, and 3rd place.
Then the number of the ways that the medals can be awarded.
[tex]\rightarrow ^{11}C_3\\\\\\\rightarrow \dfrac{11!}{(11-3)! 3!}\\\\\\\rightarrow \dfrac{11 \times 10 \times 9 \times 8!}{8! \times 3 \times 2 }\\\\\\\rightarrow \dfrac{11 \times 10 \times 9}{3 \times 2}\\\\\\\rightarrow 11 \times 5 \times 3\\\\\\\rightarrow 165[/tex]
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what expression is equivelent to 4x-10/2
Answer:
4x-5
Step-by-step explanation:
The radar beam sent out by an aeroplane reaches a distance of 120 kilometres and covers an angle of 150 degrees calculate the area covered by the beam
I WILL GIVE BRAINLIEST
help please and explain too if you can
Answer:
x = 10
y = 17.321
Step-by-step explanation:
feel free to ask questions !!
I have also attached the trig rules I was using just in case you wanted a general idea
Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted:
5. What is the difference between each term to the next of this number sequence: 14, 11, 8, 5? A. 3 B. 5 C. 7 D. 10
A: 3
if you subtract 11 from 14 you get three, and the pattern is repeated and works with the other consecutive numbers
In the expression 30x? - 35x + 54x - 63 when the first two terms are grouped, and the last two terms are grouped, what is the common binomial factor?
When the first two terms and the last two terms are grouped, the common binomial factor is 6x – 7
Data obtained from the question 30x² – 35x + 54x – 63Common factor =.?How to determine the common factor
30x² – 35x + 54x – 63
Group the first two and the last two terms
(30x² – 35x) + (54x – 63)
Factorise
5x(6x – 7) + 9(6x – 7)
Common factor => 6x – 7
Therefore, we can conclude that the common binomial factor in the expression is 6x – 7
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calculate the number of subsets and the number of proper subsets for the set.
{1/6, 1/7,1/8,1/9 }
A. 16;15
B.15;16
c.14;15
D.15;14
A set of n elements has 2ⁿ subsets. One of these subsets is the set itself, so this set would have 2ⁿ - 1 proper subsets.
The given set has 4 elements, so it has 2⁴ = 16 subsets and 2⁴ - 1 = 15 proper subsets.
Just to illustrate the claim, we have
• subsets of size 0 (1 of these):
{ } (empty set)
• subsets of size 1 (4 of these):
{1/6}, {1/7}, {1/8}, {1/9}
• subsets of size 2 (6 of these):
{1/6, 1/7}, {1/6, 1/8}, {1/6, 1/9}, {1/7, 1/8}, {1/7, 1/9}, {1/8, 1/9}
• subsets of size 3 (4 of these):
{1/6, 1/7, 1/8}, {1/6, 1/7, 1/9}, {1/6, 1/8, 1/9}, {1/7, 1/8, 1/9}
• subsets of size 4 (1 of these):
{1/6, 1/7, 1/8, 1/9}
and the last one is the only subset that is not a proper subset, because that subset = the set.
The number of subsets are 16 and number of proper subsets for the set are 15. So, correct option is A.
The set {1/6, 1/7, 1/8, 1/9} has 4 elements.
To calculate the number of subsets, including both the proper and improper subsets, you can use the formula 2ⁿ, where n is the number of elements in the set.
So, for this set, there are 2⁴ = 16 subsets.
To calculate the number of proper subsets, you subtract 1 from the total number of subsets (to exclude the empty set).
So, the number of proper subsets is 16 - 1 = 15.
Hence, option A is correct, the number of subsets are 16 and number of proper subsets for the set are 15.
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I NEED HELP URGENTLY
Answer:
30 square millimeters
Step-by-step explanation:
3 x 3 = 9
3 x 1 = 3
there are two sides with the area 9 therefore...
9 x 2 = 18
There are four sides with the area 3 therefore...
3 x 4 = 12
Therefore the suface area is
12 + 18 = 30
Find the area of the trapezoid.
9 cm
9 cm
5 cm
Answer:
480
Step-by-step explanation:
9x9= 81x5= 480
What number has the factors 1, 2, 3, 4, 6, 8, 12, 24?
In two or more complete sentences, describe the transformation(s) that take place on the parent function, f(x) = log(x), to achieve the graph of g(x) = log(-2x-4) + 5
Please solve this for me!!!!
Step-by-step explanation:
Howdy there :)
To describe the transformation of the parent logarithmic function, you just need to follow these rules
1. A + on the outside of the parentheses will mean a vertical shift upwards. As such, the transformation is moved 5 units up. If it was -, it would move 5 units down.
2. The inside of the parentheses will result in a horizontal shift right 4 units. The rule to remember is that these kinds of functions follow x(a - b) rules, meaning that when the 4 is subtracted, we are really talking about a positive four, unlike in standard arithmetic. Vice versa, a + 4 will mean a -4 four, since a - -4 is the same as a + 4. As such, we will move in the positive direction (right) on the y axis.
3. Since x is now -2x, we are reflecting about the y axis, meaning the function will switch from left to right or right to left.
4. The 2 in front of it represents a vertical dilation by a factor of 2. This is because our constant, 2, is greater than 1. If the number were in between 0 and 1, it would represent a vertical compression by the constant number.
In Rebecca's neighborhood, 80% of the houses have garages and 46% have a garage and a pool. What is the probability that a house in her neighborhood has a pool, given that it has a garage? A. 58% B. 79% C. 34% D. 17%
The probability that a house in her neighborhood has a pool, given that it has a garage is; A. 58%
How to work with Venn diagrams?By Venn diagram, all houses that have garage have a pool. Thus, since given that households that have garage is 80% and households that garage and a pool is 46%.
Then probability that a house in her neighborhood has a pool is;
P = 46%/80%
P = 57.5% = 58%
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Solve for x, then find the missing side of the lengths.
Answer:
Here are the examples!
Step-by-step explanation:
15 45 X +3 5x + 1 15 = 45 5x + 1 = 3x + 9 x+3 5x + 1 5x - 3x = 9-1 1 … 5( 5x + 1) = 45(x+3) 2x = 8 5x + 1 = 3( x + 3) x :) ...
Find the unit rate.
1/4 gallon for every 3/10 miles
The unit rate is:
Answer:
1.2 miles/gal
Step-by-step explanation:
I assume you want miles per gallon
3/10 mile / 1/4 gallon = 3/10 * 4/1 = 12/10 = 1.2 miles per gallon
if you want gallons/mile
1/4 gallon / 3/10 mile = .8333 gallon/mile
What are the coordinates of A' and B' when AB is reflected in the y-axis? Show your work or explain how you got your answer.
Answer:
Step-by-step explanation:
What is the rule for a reflection across the Y axis? The rule for reflecting over the Y axis is to negate the value of the x-coordinate of each point, but leave the -value the same
Answer:
A'(-2, 5)
B'(-6, 3)
Step-by-step explanation:
When a point is reflected in the y-axis, the image is as far from the y-axis on the other side as the original point is on this side. That is, the y-axis is halfway between the original point and its image. The x-coordinate of a point measures how far from the y-axis it is, so reflection in the y-axis changes the sign of the x-coordinate:
(x, y) ⇒ (-x, y) . . . . . reflection in the y-axis
__
A(2, 5) ⇒ A'(-2, 5)
B(6, 3) ⇒ B'(-6, 3)
Assume the spinner wedges are the same size. Find the probability of the spinner landing on a section that contains he number - 16
Answer:
find the probability of rolling a 4, take the number of possible ways of rolling a 4 and divide it by the total number of possible outcomes.
The volume of a box is 9cm³ and its base area is 20cm². What is the height of the whole box
Answer:
0.45 cm
Explanation:
In order to find the height of any shape given the volume and base area.
Simply divide the volume by the base area.
Here given:
Volume: 9 cm³Base area: 20 cm²Height:
volume ÷ base area = 9 ÷ 20 = 0.45 cmRectangle ABCD is rotated by 90 degrees clockwise about the origin and
then translated 3 units left and 2 units down to form A'B'C'D'.
What is the length in units of line segment A’B’ in the resulting figure
The length in units of the line segment A'B' in the resulting figure is the same as the length of line segment AB in the previous rectangle.
Translation of shapes in the Cartesian planeForm the task content;
It follows that the initial rectangle A is only translated and hence, the size of each of its sides remains constant.The translation which occurs on the rectangle only shifts the whole rectangle leftward and downward and hence, each line segment in the rectangle still retains its length.
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slope for y=2x+3 and y intercept
Answer:
slope = 2, y-intercept = 3
Step-by-step explanation:
» Concepts
All straight lines can follow the slope-intercept form, y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept. The slope is the constant rate of change, and the y-intercept is where the line intersects at the y-axis.
» Application
We are asked to find the slope and y-intercept of the equation, y = 2x +3, given the form y = mx + b. As you can see, in the place of m (the slope), there is the number 2, making the slope 2. Then, in the place of b (the y-intercept), there is the number 3, making the y-intercept 3.
