Answer:
-3x
Step-by-step explanation:
Combine like terms (terms with the same amount of variables). Note that + x = + 1x. First add, then subtract:
2x + x = 3x
3x - 6x = -3x
-3x is your answer.
~
Answer:
6x
Step-by-step explanation:
find the solution of the following system of equations by graphing y=-2x-1 y=-x-1
Answer:
(0,-1)
Step-by-step explanation:
The solution to the system of linear equation is (0, -1)
What is the solution to the system of equations?To solve for the system of linear equations, we can use substitution method;
y = -2x - 1 ...eq(i)
y = -x - 1 ...eq(ii)
Equate both equations
-x - 1 = -2x - 1
-x = -2x
This shows it can not be solved by any other means except graphically.
To solve this equation graphically, we can plug in the equations and then find the point of intersection;
Kindly find the attached graph below
The solution to the system of equation is (0,-1)
Learn more on system of linear equations here;
https://brainly.com/question/28866068
#SPJ2
There are 100 calories in 8 fluid ounces of orange juice and
140 calories in 8 fluid ounces of pineapple juice. Tia mixed 4 fluid ounce
of each juice. Write and solve an equation to find the number of calories
in each fluid ounce of Tia's juice mixture.
Number of calories in 8 ounces of orange juice = 100
Number of calories in 1 ounce of juice = [tex]\frac{100}{8}[/tex]
Number of calories in 4 ounces of juice = [tex]\frac{100}{8}*4=50[/tex] calories
Number of calories in 8 ounces of pineapple juice = 140
Number of calories in 1 ounce of juice = [tex]\frac{140}{8}[/tex]
Number of calories in 4 ounces of pineapple juice =
[tex]\frac{140}{8}*4=70[/tex] calories
Now the mixture has 50+70 = 120 calories in 8 ounce.
So, 1 ounce of mixture has = [tex]\frac{120}{8}= 15[/tex] calories.
To find the number of calories in Tia's juice mixture, we set up an equation based on the given information. Solving the equation, we find that there are 4 calories in each fluid ounce of Tia's juice mixture.
Explanation:To find the number of calories in Tia's juice mixture, we can set up an equation based on the information provided. Let's say x represents the number of calories in each fluid ounce of orange juice, and y represents the number of calories in each fluid ounce of pineapple juice. Since Tia mixed 4 fluid ounces of each juice, the total number of calories in the mixture would be 4x + 4y. We know that there are 100 calories in 8 fluid ounces of orange juice and 140 calories in 8 fluid ounces of pineapple juice. We can set up the equation:
100 calories = (8/4)x
140 calories = (8/4)y
Simplifying the equations, we have:
25x = 100
35y = 140
Solving for x and y, we find:
x = 4
y = 4
Therefore, there are 4 calories in each fluid ounce of Tia's juice mixture.
https://brainly.com/question/12386274
#SPJ3
Add. Simplify the answer and write as a mixed number if appropriate 4/5+ 3/10+ 1/2 =
Answer: 1 and 3/5
Step-by-step explanation: The common denominator is 10. So, in order for everything to have a denominator of 10, we need to multiply a few things.
4 x 2 = 8
5 x 2 = 10
1 x 5 = 5
2 x 5 = 10
With that out of the way, we can finally move on to figure out the answer.
8/10 + 3/10 + 5/10 = 16/10. The question asks to write as a mixed number, if necessary. And it is. So:
10 goes into 16 once, with 6 left over, so 1 and 6/10. the fraction can be reduced, so we do that. Because 2 goes into 6 (3 times), and 2 goes into 10 (5 times), that leaves us with a final answer of 1 and 3/5.
Final answer:
To add 4/5, 3/10, and 1/2, first find a common denominator, which is 10. Convert the fractions to 8/10, 3/10, and 5/10, add them to get 16/10, which simplifies to 1 6/10, and then further simplify to the mixed number 1 3/5.
Explanation:
To add the fractions 4/5, 3/10, and 1/2, we need a common denominator. The least common multiple of the denominators 5, 10, and 2 is 10. Thus, we convert each fraction to an equivalent fraction with a denominator of 10. The converted fractions are 8/10, 3/10, and 5/10.
Next, we add the numerators: 8 + 3 + 5 = 16. The sum of the fractions is 16/10, which simplifies to 1 6/10 by dividing 16 by 10. Finally, we can simplify the fraction 6/10 to 3/5 because both the numerator and the denominator can be divided by 2. Therefore, our final answer is 1 3/5.
The employees of a company have different hobbies.
14 men who like playing golf
6 women who like playing golf
2 men who like running
18 women who like running
Which of the following statements is correct?
A.
For every woman who likes running, 9 women like playing golf.
B.
For every woman who likes running, 7 women like playing golf.
C.
For every man who likes running, 3 men like playing golf.
D.
For every man who likes running, 7 men like playing golf.
Among the given options, statement D, which says 'For every man who likes running, 7 men like playing golf,' is the correct statement based on the numbers provided.
Explanation:In order to determine which statement is correct, we would need to relate the numbers given in the question. So let's take a look.
We have 14 men who like playing golf and 2 men who like running. So for each man that likes running, there are 14/2 = 7 men who like playing golf.We have 6 women who like playing golf and 18 women who like running. So for each woman that likes running, there are 6/18 = 1/3 women who like playing golf. This does not match either statement A or B. So we can rule them out.With this comparison, we can conclude that the correct statement is D. For every man who likes running, 7 men like playing golf.
Learn more about Ratio and Comparison here:https://brainly.com/question/31815139
#SPJ12
The correct statement is option B: for every woman who likes running, 3 women like playing golf.
Explanation:In order to determine which statement is correct, we would need to relate the numbers given in the question. To determine which statement is correct, we need to compare the ratio of women who like running to women who like playing golf.
There are 18 women who like running and 6 women who like playing golf.
Therefore, the correct statement is option B, which states that for every woman who likes running, 3 women like playing golf.
Learn more about Ratio of women who like running to women who like playing golf here:https://brainly.com/question/19298845
#SPJ12
Catherine has $400 in her checking account. She writes a check for $600. What is the balance in her account?
–$1,000
–$200
$1,000
$200
Answer:
-200
Step-by-step explanation:
400 - 600 = -200
Answer:
-200
Step-by-step explanation:
600-400=-200
Keira goes shopping at a supermarket
Keira spends approximately $119.12 on food.
To find the fraction of Keira's total spending on petrol, we need to determine the total amount she spent on all items and then calculate the fraction spent on petrol.
Total amount spent on all items (T): We'll use algebra to find the total amount Keira spent.
Fraction spent on other items and clothes: Given Keira spends 1/9 of the money on other items and 1/5 of the money on clothes, we'll find the combined fraction spent on other items and clothes.
Fraction spent on petrol: Subtract the fraction spent on other items and clothes from 1 to find the fraction spent on petrol.
Amount spent on food: Subtract the amounts spent on petrol, other items, and clothes from the total amount to find the amount spent on food.
Total amount spent on all items (T): Let T represent the total amount spent.
Fraction spent on other items and clothes:
[tex]\[ \frac{1}{9} + \frac{1}{5} = \frac{5}{45} + \frac{9}{45} = \frac{14}{45} \][/tex]
Fraction spent on petrol:
[tex]\[ 1 - \frac{14}{45} = \frac{31}{45} \][/tex]
Amount spent on food:
[tex]\[ \text{Amount spent on food} = T - (45 + \frac{1}{9} \times T + \frac{1}{5} \times T) \] \[ \text{Amount spent on food} = T - (45 + \frac{14}{45} \times T) \] \[ \text{Amount spent on food} = \frac{31}{45} \times T \][/tex]
Now, to find the value of T, we solve the equation:
[tex]\[ \frac{31}{45} \times T = 45 + \frac{14}{45} \times T \]\[ \frac{31}{45} \times T - \frac{14}{45} \times T = 45 \]\[ \frac{17}{45} \times T = 45 \]\[ T = \frac{45 \times 45}{17} \]\[ T \approx 119.12 \][/tex]
So, Keira spends approximately $119.12 on food.
The complete question is:
Keira goes shopping at a supermarket. the pie chart below shows information about the money she spends on petrol, clothes, food and other items. what fraction does she spend on petrol? if keira spends $45 on petrol, 1 9 of the money on other items and 1 5 of the money on clothes. how much money does she spend on food? $
I don't understand what im supposed to find? Isnt the math correct?
Answer:
Step-by-step explanation:
Yes the math is correct. But the A part asks for the interest. The interest is 795.96 and that is what her account is worth. She thinks the interest is 3795.96, but it's not. She's added the bare principle in a second time.
Account amount = 3795.96
Interest = 795.96
Help anyone on these 3 problems
Answer:
5) a) complementary
6) b) supplementary
7) c) vertical angles
Step-by-step explanation:
5)
The sum of the complementary angles = 90 degrees
According to the graph, both angles add up to 90 degrees
Answer: a) complementary
6)
Straight angle is equal 180 degrees
The sum of the supplementary angles = 180 degrees
Answer: b) supplementary
7)
Vertical Angles are the angles opposite each other when two lines cross. The vertical angles are congruent.
Answer: c) vertical angles
Answer:
5. a) complementary; 6. b) supplementary; 7. c) vertical angles
Step-by-step explanation:
Question 5
The sum of the two angles is 90°.
The angles are complementary.
Question 6
x° + 62° = 180°
The angles are supplementary angles.
Question 7
The angles are opposite each other where the two lines cross.
∴ They are vertical angles.
Note: "Vertical" in this context doesn't mean "up-and-down." It means the angles share the same vertex (corner point).
Can someone please solve this problems? Please!
1. Answer: [tex]\bold{\dfrac{188}{3}}[/tex]
Step-by-step explanation:
[tex]\dfrac{y_4-y_1}{x_4-x_1}=\dfrac{128-316}{4-1}=\large \boxed{-\dfrac{188}{3}}\\\\\\\text{The negative sign represents "decrease".}[/tex]
2. The parent graph is y = | x |
a) Shifted down 3 units
b) vertex = (0, -3)
c) Equation: y = | x | - 3
3. The parent graph is y = x²
a) Shifted right 1 and down 1 unit
b) vertex = (1, -1)
c) Equation: y = (x - 1)² - 1
The graph shown represents the rule y =x + 1.5
Answer:
Step-by-step explanation:
find the total area of this object
There are 2 triangles.
Area of a triangle is 1/2 x base x height = 1/2 x 4 x 3 = 6 square units each.
6 x 2 = 12 square units.
There is 1 rectangle 3 x 10 = 30 square units.
There is 1 rectangle 5 x 10 = 50 square units.
5 is the hypotenuse of the triangle found by using the Pythagorean theorem.
There is 1 rectangle 4 x 10 = 40 square units.
Total surface area = 12 + 30 + 50 + 40 = 132 square units.
The price of a toy usually costing £50 is increased to £65
Work out the percentage increase.
Percentage increase is 30% increase.
The value of the percentage increase would be 30 percent.
Used the concept of the percentage that states,
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating the hundredth part of any quantity is called a percentage.
Given that,
The price of a toy usually costing £50 is increased to £65.
Hence, the increased price is,
£65 - £50 = £15
So, the percentage increase would be,
[tex]P = \dfrac{\£15}{\£50} \times 100\%[/tex]
[tex]P = \dfrac{1500}{50}\%[/tex]
[tex]P = 30\%[/tex]
Therefore, the percentage increase is 30%.
To learn more about percentage visit:
https://brainly.com/question/24877689
#SPJ7
−2x = 4y + 6 2(2y + 3) = 3x − 5 What is the solution (x, y) to the system of equations above
Answer:
(1;-2)
Step-by-step explanation:
x=-2y-3
2(2y+3)=-6y-9-5
10y=-20
y=-2
x=4-3=1
Please help me
A wooden fruit crate will hold 62 pounds of fruit. The crate already has 18 pounds of fruit inside of it. Which inequality represents the solution set that shows the pounds of fruit, p, that can be added to the crate?
A) p ≥ 44
B) p ≤ 44
C) p ≤ 80
D) p ≥ 80
Answer:
b
Step-by-step explanation: 62-18 is 44 and 44 is greater than 18
Answer:
B) p ≤ 44 is your ANSWER
Step-by-step explanation:
what is one point that lies in the solution set of the system of inequalities graphed?
(0,4) because its the coordinates where the lines intersect
Answer:
C) (-3,3)
Step-by-step explanation:
The solution set is the region of intersection of the blue shaded region and the red shaded region.
We plot the given points, and the only one that falls within the solution set is (-3,3).
The formula for the circumference of a circle C equals two pi R where are is the radius and see is the circumference equation solve for our is our equals C over two pi find the radius of the circle that has a circumference of 16 pi
Answer:
8
Step-by-step explanation:
The question is basically "Find the radius of the circle that has a circumference of 16π"
The formula for circumference of a circle is given as [tex]C=2\pi r[/tex]
Where
C is the circumference
r is the radius
Plugging in 16π into C and solving for r gives us the radius. Shown below:
[tex]C=2\pi r\\16\pi = 2\pi r\\r=\frac{16\pi}{2\pi}\\r=8[/tex]
the radius is 8
what is the volume of a sphere with the radius of 3 cm round to the nearest cubic centimeter
Answer:
Step-by-step explanation:
(4/3)*[tex]\pi[/tex]*r^3
V = 113,04
Best regards
Which expression is equivalent to 30m2+12m+18?? Please help ASAP !
Answer:
c) 6(5m2+2m+3)
Step-by-step explanation:
Given expression = 30m2 + 12m + 18
The simplified form can be calculated by taking GCF
The GCF of 30m2, 12m and 18 is = 6
Therefore, the expression becomes
(6*5m2 + 6*2m + 6*3)
=> 6(5m2+2m+3) so option c is correct
What is the measure of the angle RUS?
Answer:
the answer is 90 degrees
Step-by-step explanation:
angle PT=18
180-39-23-28=90
Answer:
Step-by-step explanation:
90
need help, what’s the answer?
Step-by-step explanation:
This is a simple angle problem, and what we need to do is subtract 73-44. This is because if we subtract the angles we already have, we will get the angle that we are trying to solve. The answer would be 29.
What is the value of the y coordinate of the solution to the systems of equations x+2y=9 and x-y=3
Answer:
y = 2
Step-by-step explanation:
(1) x + 2y = 9
(2) x - y = 3
Subtract (2) from (1)
3y = 6
y = 2
The y-coordinate is y = 2.
The graphs of the two equations intersect at (5, 2).
Answer:
6
Step-by-step explanation:
Minus both from each other;
x=2y=9
x-y=3
x cancels, 2y-y= y; 9-3=6
Therefore; y=6
what is the value of the expression?
2 1/4 divided by 1 2/5
Answer:
45/28
Step-by-step explanation:
Convert them to mixed fractions
(2 * 4 + 1) / 4 ÷ (1 * 5 + 2) / 5
8 + 1 / 4 ÷ 5 + 2 / 5
9/4 ÷ 7/5
Flip the second fraction and flip the sign - to multiply.
9/4 × 5/7
9 × 5 = 45
4 × 7 = 28
45/28
This could be left as a fraction or converted to a number:
1.60714285714
Answer:
The Answer is 1 17/28
Step-by-step explanation:
1) turn the mixed fraction into a regular fraction
2 1/4 divided by 1 2/5 = 9/4 divided by 7/5
2) Then Multiply
9/4 X 7/5= 45/28 (Straight across)
3) Simplify 45/28
Give you 1 17/28
Hopes this helps!
Find the solution of the equation from the given numbers.
x + 14 = 23; 9, 55, 37, or 30
55
9
37
30
x+14=23/-14
x=9
9+14=23
9 because 14+9 equals 23
write 2 over 8 in simplest form
Answer:
1/4
Step-by-step explanation:
Divide the top and the bottom by 2 to get the simplest form.
2 / 2 = 1
8 / 2 = 4
2/8 = 1/4
If one paperclip has the mass of 1 gram and 1,000 paperclips have a mass of 1 kilogram, how many kilograms are 8,000 paperclips?
A. 8 kg.
B. 80 kg.
C. 800 kg.
D. 8,000 kg.
Answer:
A. 8kg
Step-by-step explanation:
You don't really need any solution but if
1000 paperclips = 1 kg, then
8000 paperclips = 8kg
Final answer:
To determine the mass of 8,000 paperclips in kilograms, divide 8,000 by 1,000, since 1,000 paperclips weigh 1 kilogram. The result is 8 kilograms, making option A the correct answer.
Explanation:
The question concerns the mass of paperclips in grams and kilograms, which are units of mass in the metric system. To find out how many kilograms 8,000 paperclips would weigh, we need to use the given conversion that 1,000 paperclips have a mass of 1 kilogram. Here's the step-by-step calculation:
Since 1,000 paperclips weigh 1 kilogram, we can find out how many groups of 1,000 paperclips there are in 8,000 paperclips by dividing 8,000 by 1,000.
8,000 paperclips ÷ 1,000 paperclips/kg = 8 kg
Therefore, 8,000 paperclips have a mass of 8 kilograms.
The correct answer to the question is A. 8 kg.
fill in the table the coordinates of B with the information missing about the different transformations of ABC which of the following represents the correct sequence of coordinates to fill in the table above?
Answer: C. (3,-2) (-6,-9) (-6,9) (-9,6) (9,6)
The coordinates of B with the information missing about the different transformations of ABC will be (3,-2) (-6,-9) (-6,9) (-9,6) (9,6).
What are coordinates?It should be noted that coordinates simply mean a set of values that simply show an exact position.
In this case, the coordinates of B with the information missing about the different transformations of ABC will be (3,-2) (-6,-9) (-6,9) (-9,6) (9,6). This is important to determine the position of the points.
Learn more about coordinates on:
https://brainly.com/question/17206319
#SPJ2
Selena makes one million dollars annually and gets paid biweekly. What is her biweekly paycheck?
Her biweekly paycheck is 38358.26
Step-by-step explanation:As we know that there are 52.14 weeks in a year
So weekly paycheck will be 1000000 / 52.14 = 19179.13
Since she gets biweekly check so we multiply it with 2
19179.13 * 2 = 38358.26
Her biweekly paycheck is 38358.26
Use the data to answer the Question below.
Size of shoe:8,7,8.5,6.5,5,11,15,8,8,7.5,6.5,8,14,12
Answer:
Step-by-step explanation:
Mean: 8 + 7 + 8.5 + 6.5 + 5 + 11 + 15 + 8 + 8 + 7 + 7.5 + 6.5 + 8 + 14 + 12 = 132 / 15 = 8.8
Median: You have to arrange the numbers first in ascending order.
5, 6.5, 6.5, 7, 7, 7.5, 8, 8, 8, 8, 8.5, 11, 12, 14, 15
The median is 8 because that is the middle value/number.
Mean Absolute Deviation:
Get the average/mean (1), find the deviation (2) to get MAD (3).
Step #1 Mean = 8.8
Step #2 To get the deviation, you subtract the mean from the values given.
8 - 8.8 = -0.8
7 - 8.8 = -1.8
8.5 - 8.8 = -0.3
6.5 - 8.8 = -2.3
5 - 8.8 = -3.8
11 - 8.8 = 2.2
15 - 8.8 = 6.2
8 - 8.8 = -0.8
8 - 8.8 = -0.8
7 - 8.8 = -1.8
7.5 - 8.8 = -1.3
6.5 - 8.8 = -2.3
8 - 8.8 = -0.8
14 - 8.8 = 5.2
12 - 8.8 = 3.2
Step #3 Get the summation from step #2, and get its average. Disregard the negative signs.
0.8 + 1.8 + 0.3 + 2.3 + 3.8 + 2.2 + 6.2 + 0.8 + 0.8 + 1.8 + 1.3 + 2.3 + 0.8 + 5.2 + 3.2 = 33.6 / 15 = 2.24 is the Mean Asolute Deviation
Median Absolute Deviation:
Get the median (1) and subtract it from the values (2). Get the median of the new values (3)
Step #1 Median = 8
Step #2
8 - 8 = 0
7 - 8 = -1
8.5 - 8 = 0.5
6.5 - 8 = -1.5
5 - 8 = -3
11 - 8 = 3
15 - 8 = 7
8 - 8 = 0
8 - 8 = 0
7 - 8 = -1
7.5 - 8 = -0.5
6.5 - 8 = -1.5
8 - 8 = 0
14 - 8 = 6
12 - 8 = 4
Step #3 Arrange the numbers in ascending order.
-3, -1.5, -1.5, -1, -1, -0.5, 0, 0, 0, 0, 0.5, 3, 4, 6, 7
The Median Absolute Deviation is 0 since it is the middle value/number.
It is important that you calculate this by yourself in case I did some careless mistakes.
the fraction 7/9 produces a repeating decimal. True or false
Answer:
True
Step-by-step explanation:
anything over 9 that is not 9 is a repeating decimal
Answer:
True
Step-by-step explanation:
7/9 = 0.777777777778
Find the surface area of a cylinder with a height of 9 inches and base radius of 4 inches.
The surface area of the cylinder is 326.56 square inches.
For the surface area (SA) of a cylinder, you can use the formula:
SA = 2π[tex]r^2[/tex]+ 2πrh
where:
r is the radius of the baseh is the heightπ is a mathematical constant approximately equal to 3.14Given that the height (h) is 9 inches and the base radius (r) is 4 inches, you can substitute these values into the formula:
SA = 2 × 3.14 × [tex](4)^2[/tex]+ 2 × 3.14 × 4 × 9
SA = 2 × 3.14 × 16 + 2 × 3.14 × 36
SA = 100.48 + 226.08
SA = 326.56
Therefore, the surface area of the cylinder is
326.56 square inches.