Step-by-step explanation:
Typical speed of Bernard= x km/hr
Bernard's speed while sick= 41.5 km/hr
the difference in the speed=13.5 km/hr
the equation representing the difference will be:
x-41.5=13.5 km/hr
12 percent of 9 or 9 percent of 12 should get the same answer
Combine the like terms to create an equivalent expression:
−3k−(−8)+2
What's the answer?
Answer:
-3k+10
Step-by-step explanation:
=> −3k−(−8)+2
=> -3k +8+2
=> -3k+10
Which expression represents the greatest common factor (GCF) of 54 and 153?
Answer:
9
Step-by-step explanation:
Factors are numbers we can multiply together to get another number.
A common factor is one that is a factor of two (or more) numbers.
The greatest common factor (GCF) is the largest of the common factors.
There are a few ways to find the GCF. One way is to find all the factors of both numbers, then find the ones that are common to both and choose the greatest:
The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54
The factors of 153 are: 1, 3, 9, 17, 51, 153
Therefore, the greatest common factor is 9.
The expression which represents the greatest common factor (GCF) of 54 and 153 is 3×3. Correct option is B.
The greatest common factor (GCF) of two numbers is the largest positive integer that divides both numbers evenly.
To find the GCF of 54 and 153, we need to determine the common prime factors of these two numbers and then multiply those factors together.
The prime factorization of 54:
= 2 × 3 × 3 × 3
= 2 × 3³.
The prime factorization of 153:
= 3 × 3 × 17
= 3² × 17.
The common prime factors of 54 and 153 are two factors of 3, so the GCF is 3 × 3, which can be written as 3².
Hence, 3 × 3 is the expression which represents the greatest common factor (GCF) of 54 and 153. Option B is correct.
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Complete question:
Which expression represents the greatest common factor (GCF) of 54 and 153?
(A) 2×2
(B) 3×3
(C) 2×2×2×3
(D) 2×2×2×3×1
Solve.
y = –4x + 10
y = –3x + 5
Answer:
(5, -10)
Step-by-step explanation:
Given system of equations:
[tex]\begin{cases}y=-4x+10&\\y=-3x+5\end{cases}[/tex]
Substitute the first equation into the second:
[tex]\implies -3x+5=-4x+10[/tex]
SOLVING FOR X.
Step 1: Add 4x to both sides.
[tex]\\\implies-3x+4x+5=-4x+4x+10\\\\\implies x+5=10[/tex]
Step 2: Subtract 5 from both sides.
[tex]\\\implies x+5-5=10-5\\\\\implies \boxed{x=5}[/tex]
SOLVING FOR Y.
Step 1: Substitute [tex]x=5[/tex] into any of the given equations.
[tex]\\\implies y=-4(5)+10[/tex]
Step 2: Simplify.
[tex]\\\implies y=-20+10\\\\\implies \boxed{y=-10}[/tex]
The solution to the system of equations is (5, -10).
What is the domain of the function on the graph?
5
A. all real numbers
4+
3
B. all real numbers greater than or equal to -2
C. all real numbers greater than or equal to -5
all real numbers greater than or equal to 0
2+
i
1
5 4 3 2 11
1
2.
3
4 5
x
-2
-3
ov
-4
You can solve it by yourself only as no graphs attached.Steps provided below
First locate the starting pair of co-ordinates on function.Mark that
.If a. pair be (x,y) x is domain and y is range.Do same and find end points.Now unite both using interval notation
Mins bought 4 1/2 pounds of cheddar cheese she used 1 1/3 pounds to make sandwiches how much cheese does she have left
diamond is playing a game in the game she has to spin a spinner that is divided into equal sections of orange, red, purple, and pink what is the probability that on her first spin she will land on pink and then red on her second spin?
Answer:
1 out 4
Step-by-step explanation:
The product of 8 and the difference of n and 3
A business assistant must leave more than $50 in the supply account. There is $200 in the account. The assistant needs to order x boxes of pens that cost $10. 50 each. What is the maximum number of boxes of pens the business assistant can buy? 10 boxes 14 boxes 15 boxes 23 boxes.
Answer:
14 Boxes Of Pens
Step-by-step explanation:
Hope This Helps :)
Darlene is making a quilt that has alternating stripes of regular quilting fabric and sateen fabric. She spends $76 on a total of 16 yards of the two fabrics at a fabric store. Sateen fabric costs $6 per yard and quilting fabric costs $4 per yard. Which system of equations can be used to find the amount x (in yards) of regular quilting fabric and the amount y (in yards) of sateen fabric she purchased?
Answer:
[tex]\left \{ {{6x+4y=76} \atop {x+y=16}} \right.[/tex]
Step-by-step explanation:
1) if (according to the condition) the amount of quilting is 'x' and the amount of sateen is 'y', then the price of the quilting fabric is 6*x and the price of then sateen fabric is 4*y;
2) the 76$ she spends can be written as 6x+4y=76;
3) total of 16 yards can be written as x+y=16;
4) finally, the required system is:
[tex]\left \{ {{6x+4y=76} \atop {x+y=16}} \right.[/tex]
A system of equations is a collection of two or more equations with a same set of unknowns. 4x+6y=76, x+y=16 are required system of equations.
What is system of Equations?A system of equations is a collection of two or more equations with a same set of unknowns.
According to the condition the amount of quilting is 'x' and the amount of sateen is 'y', then the price of the quilting fabric is 4x and the price of then sateen fabric is 6y;
the 76$ she spends can be written as 4x+6y=76;
Total of 16 yards can be written as x+y=16;
So the required system of Equations is:
4x+6y=76
x+y=16
Hence Option C is correct. 4x+6y=76, x+y=16.
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¿Cual es la diferencia entre ángulos suplementarios y ángulos complementarios?
Answer:
Los ángulos complementarios son dos ángulos que suman 90 grados, y los ángulos suplementarios son dos ángulos que suman 180 grados.
OR
Complementary angles are two angles that add up to be 90 degrees, and suplementary angles are two angles that add up to be 180 degrees.
what percent is 700 paise of 7 rupees
To find :-
What percent is 700 paise of 7 rupees .Solution :-
As we know that,
→ ₹1 = 100 p
So ,
→ 700p = ₹ 700/100
→ 700p = ₹ 7
Now let's calculate % , as ;
→ 700p / ₹7 * 100 %
→ ₹7/₹7 *100 %
→ 1 *100%
→ 100%
Hence 700p is 100% of ₹7 .
I hope this helps.
Step-by-step explanation:
We know that ,
1rupees = 100 paise
so , 7 rupees = 700 paise
We have to find the percentage of 700 paise of 7 rupees
Calculating Percentage ,
700paise/7rupees×100
7/7 × 100%
= 100%
Is this a proportion? show your work is please!
8/24 = 21/63
Answer:
1/3
Step-by-step explanation:
yes, this is a proportion ie 8 is equal to 21 then 24 is 24 ×21 ÷8 = 63.
A card was selected at random from a standard deck of cards. The suit of the card was recorded, and then the card was put back in the deck. The table shows the results after 40 trials. What is the relative frequency of selecting a diamond?.
The relative frequency of selecting a diamond from 40 trials of selecting a random card is 30%.
What is relative frequency?The relative frequency of an event is the ratio of total number of favorable or desired outcome to the total number of trails done.
Given information-
The card is selected random from the deck of cards.
Total number of trails is 40.
It is known that the total number of diamond card in a standard deck of card is 11. There is total 40 trials is done in which a random card is selected.
As the relative frequency is the ratio of total number of diamonds to the total number of trials done. Thus,
[tex]f_r=\dfrac{11}{40}\\f_r=0.3[/tex]
In the percentage from,
[tex]f_r={0.3}\times100\\f_r=30[/tex]
Thus the relative frequency of selecting a diamond from 40 trials of selecting a random card is 30%.
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Answer:
20%
Step-by-step explanation: I took the test
31/9 as a decimal. That is all I need
the answer is: 31/9=3.4444≈3.4
Can someone figure out how to do this I don't know how.
Answer:
Step-by-step explanation:
g(x) = -3x - 3
To complete the table, you have to substitute the x values into the equation.
g(-5) = -3(-5) - 3
g(-5) = 15 - 3
g(-5) = 12
g(-3) = -3(-3) - 3
g(-3) = 9 - 3
g(-3) = 6
g(0) = -3(0) - 3
g(0) = 0 - 3
g(0) = -3
g(1) = -3(1) - 3
g(1) = -3 - 3
g(1) = -6
g(3) = -3(3) - 3
g(3) = -9 - 3
g(3) = -12
What is the percent of change from 5 to 8?
Answer:
60%
Step-by-step explanation:
5-8/5 * 100%= 60%
The percentage change from 5 to 8 is given by A = 60 %
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Let the percentage change be represented as A
Now , the equation will be
Let the first number be p = 5
Let the second number be q = 8
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
On simplifying the equation , we get
Percentage change A = [ ( 8 - 5 ) / 5 ] x 100
Percentage change A = ( 3/5 ) x 100
Percentage change A = 60 %
Hence , the percentage change is 60 %
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Solve for x. I’ll give points!
Answer:
x = 5explanation:
solving similarities:
bigger triangle is double of the smaller triangle.
balancing them:
→ x + 9 = 2(2x - 3)
→ x + 9 = 4x - 6
→ 4x - x = 9 + 6
→ 3x = 15
→ x = 5
[tex]→x + 9 = 2(2x - 3)[/tex]
[tex]→x + 9 = 4x - 6[/tex]
[tex]→ 4x - x = 9 +6[/tex]
[tex]→ 3x = 15[/tex]
[tex]→ x = 5[/tex]
The cost of a sweatshirt is 175% the cost of a T-shirt. A T-shirt costs $13.
What is the cost of 3 sweatshirts?
Enter your answer in the box.
Answer:A standard blank t shirt will usually start at around $1 each and go up to $4. These are going to be cotton, good quality shirts. The price difference will vary on manufacturer, brand, color and cut. So a plain white t shirt might only be $1, where the same shirt in navy blue might be $2.
Step-by-step explanation:
If you want a profit of 50% off the retail price, the calculation is straightforward. Let's say the production cost of your t-shirt amount to ₹300. When you multiply it by two, you get ₹600. And that would be the retail price of each t-shirt piece
1) If 13cos theta =5 then tan theta =?
Answer:
here sin theta = 5/13, and cos theta = 12/13
Step-by-step explanation:
so here tan theta = 5/12 [ as given ] tan=opposite/adjacent so sin=opposite/hypo and cos = adjacent/hypo
Brainliest?!
what is 8x =72 please help me know tank you
Answer:
x = 9
Step-by-step explanation:
this is because 8 times 9 = 72
Benita buys 2 shirts for the same price s the taxe sale rate is 6.5%
Answer:
2s + 0.13s
2.13s
Step-by-step explanation:
One shirt costs s.
2 shirts cost 2s.
The tax rate is 6.5%, so the tax on 2s is 0.065 × 2s = 0.13s
The total cost with tax is 2s + 0.13s
You can also find the total cost by realizing that since the tax is 6.5%, the total price with tax is 1.065 times the cost, so you can write it as 1.065 × 2s = 2.13s
Answer:
2s + 0.13s
2.13s
Answer:
2.13s
and
2s+0.13s
Step-by-step explanation:
Because 2 shirts is s and 6.5 per cent would turn into 6.5 because of 2 times 1.065 is 0.13 which is the answer for part 2
Evaluate for M = 10, N = -5, and P = -2 .
Answer:
10/-5 =2/-1 = -2
Step-by-step explanation:
If this does not help, just ignore it honestly.
Sean and his sister, Betty, mow 8/9 of the total area of their lawn. If they divide the chore equally, what fraction of the total area does Sean mow?.
Answer:
[tex]\frac{4}{9}[/tex]
Step-by-step explanation:
There are two of them, so we will divide the lawn area mowed by 2.
[tex]\frac{8}{9}/\frac{2}{1}= \frac{8}{9}*\frac{1}{2}=\frac{8*1}{9*2} =\frac{8}{18} =\frac{4}{9}[/tex]
-> This also can be simplified with seeing that 8 / 2 = 4, so [tex]\frac{4}{9}[/tex], but I wanted to show the whole mathematical process.
An analogue clock is gaining three minutes every hour.If you set it to the correct time at 6 p.m. in Saturday,when will it show the correct time again?
Answer:
The correct time will be shown again at 6pm on Monday
A 2-column table with 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries 0, 3, 4, 3, 0. Evaluate the function for an input of 0.
The function for the 2-coulmn table with 5 rows for an input of 0, which satisfy all the input and output values of table is,
[tex]f(0)=|0^2-4|\\[/tex]
How to read the data from the table?Table is a way to represent the data of the two or more variable. To read the data from the table, look for the value of one variable, and get the resultant value of other variable from the corresponding block.
The linear or quadratic function, can be model with the data table.
Linear model-The the highest power of unknown variable in linear model is 1. To construct the linear model with the values given in the table, the slope of the two lines should be equal.Quadratic model-The the highest power of unknown variable in linear model is 2. To construct the quadratic model, the standard form of the quadratic equation must satisfy for all the of the data table.The 2-column table with 5 rows is given with the following data.
The first column is labeled x with entries -2, -1, 0, 1, 2.
The second column is labeled [tex]f(x)[/tex] with entries 0, 3, 4, 3, 0.
The function for the above table is,
[tex]f(x)=|x^2-4|[/tex]
For an input of 0.
[tex]f(0)=|0^2-4|\\[/tex]
Thus, the function for the 2-coulmn table with 5 rows for an input of 0, which satisfy all the input and output values of table is,
[tex]f(0)=|0^2-4|\\[/tex]
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Answer:
The answer is 4
Step-by-step explanation:
Says so on edge
You buy a bicycle helmet for $22.26, which includes 6% sales tax. The helmet is discounted 30% off the selling price. What is the original price?
Answer:
The original price of the helmet is 30$
Step-by-step explanation:
**i would appreciate it if someone helped! ** Here is a number pyramid puzzle.
Fill in each blank with a number so that every number
is the product of the two numbers directly below it.
Answer:
*
Step-by-step explanation:
- 96
-8 12
- 4 2 6
4 -1 -2 -3
16 .25 -4 .5 -6
Each circle along with the number to be filled in it is mentioned below.
What is a Number Sequence?Number sequence is a progression or an ordered list of numbers governed by a pattern or rule.
Given is a pyramid puzzle.
The rule to be followed in order to complete this pyramid is as follows "Every number is the product of the two numbers directly below it".
Fill Circle [1] with the number 72.
Fill Circle [2] with the number 6.
Fill Circle [3] with the number 3.
Fill Circle [4] with the number 6.
Fill Circle [5] with the number 0.75.
Fill Circle [6] with the number -2.
Fill Circle [7] with the number 16.
Fill Circle [8] with the number 3.
Fill Circle [9] with the number -6.
Therefore, each circle along with the number to be filled in it is mentioned above.
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what is 3 times 34 divided by 2 plus 8 times 5
Answer: 91
Step-by-step explanation: 3 times 34 is equal to 102... let us work out the problem together.
3 x 34 = 102
now we must divided 102 by 2 which will equal 51
Now the final step is to do 8 times 5
8 times 5 = 40
51 plus 40 = 91
this is the correct way to do the equation.
so our final answer is 91
Question shown in image. Worth 100 points
Answer:
75 degrees
Step-by-step explanation:
The corresponding angle is 75 degrees
Answer:
75 Degrees
Step-by-step explanation:
They are corresponding which would be 75 Degrees