Question 1:
For this case we must solve the following system of equations by the method of elimination:
[tex]8x-6y=-20\\-16x+17y=30[/tex]
We multiply the first equation by 2:
[tex]16x-12y = -40[/tex]
We have the equivalent system:
[tex]16x-12y = -40\\-16x + 17y = 30[/tex]
We add the equations:
[tex]5y = -10[/tex]
We divide between 5 on both sides of the equation:
[tex]y = - \frac {10} {5}\\y = -2[/tex]
We find the value of the variable "x":
[tex]8x-6 (-2) = - 20\\8x + 12 = -20\\8x = -20-12\\8x = -32[/tex]
We divide by 8 on both sides of the equation:
[tex]x = - \frac {32} {8}\\x = -4[/tex]
Thus, the solution of the system is:
[tex](x, y): (- 4, -2)[/tex]
Answer:
[tex](x, y): (- 4, -2)[/tex]
Question 2:
For this case we must solve the following system of equations by the method of elimination:
[tex]-4y-11x = 36\\20 = -10x-10y[/tex]
We multiply the first equation by 10:
[tex]-40y-110x = 360[/tex]
We multiply the second equation by -4:
[tex]40y + 40x = -80[/tex]
We have the equivalent system:
[tex]-40y-110x = 360\\40y + 40x = -80[/tex]
We add the equations:[tex]-70x = 280[/tex]
We divide by -70 on both sides of the equation:
[tex]x = \frac {280} {- 70}\\x = -4[/tex]
We find the value of the variable "y":
[tex]-4y-11 (-4) = 36\\-4y + 44 = 36\\-4y = 36-44\\-4y = -8[/tex]
We divide between -4 on both sides of the equation:
[tex]y = - \frac {8} {- 4}\\y = 2[/tex]
Thus, the solution of the system is:
[tex](x, y): (- 4,2)[/tex]
Answer:
[tex](x, y): (- 4,2)[/tex]
answer asap i will make you brainliest!!!
ers as the elements in the rows near the bottom.
C.
have higher atomic numbers than the elements in the rows near the bottom.
D.
have lower atomic numbers than the elements in the rows near the bottom.
Answer:
Step-by-step explanation:
An angle measures 37.2° more than the measure of its complementary angle. What is the measure of each angle?
To find the measure of each angle, we can set up an equation and solve it for x, which represents one of the angles. The other angle can be calculated by subtracting x from 90. The answers are x = 63.6° and 90 - 63.6 = 26.4°.
Explanation:To solve this problem, we need to set up an equation based on the given information. Let x be the measure of one angle, and since the angles are complementary, the other angle will be 90 - x. According to the problem, x is 37.2° more than 90 - x. This can be written as the equation x = 90 - x + 37.2. Solving this equation, we find that x = 63.6°. Therefore, one angle measures 63.6° and the other angle measures 90 - 63.6 = 26.4°.
Learn more about Complementary angleshttps://brainly.com/question/1309590
#SPJ2
help.. Mike has a recipe that feeds one person that calls for 3/8 teaspoon of salt. How much salt is needed to make the recipe if he needs to cook the recipe for 8 people? a. 3/64 teaspoon c. 24/64 teaspoon b. 1 3/8 teaspoons d. 3 teaspoons
Answer:
3 teaspoons of salt is needed to cook the recipe for 8 people.
So, the correct option is d. 3 teaspoons.
Step-by-step explanation:
Given:
Mike has a recipe that feeds one person that calls for 3/8 teaspoon of salt.
Now, to find the quantity of salt is needed to cook the recipe for 8 people.
As, given the recipe feeds:
[tex]\frac{3}{8}[/tex] teaspoon salt per person.
Now, to get the salt needed to cook the recipe for 8 people we multiply [tex]\frac{3}{8}[/tex] by 8:
[tex]\frac{3}{8}\times 8[/tex]
[tex]=\frac{24}{8}[/tex]
[tex]=3.[/tex]
Thus, 3 teaspoons of salt is needed to cook the recipe for 8 people.
So, the correct option is d. 3 teaspoons.
evaluate 1/2a^-4b^2 for a =-2 and b=4
Answer:
1/2
Step-by-step explanation:
Put the numbers where the corresponding variables are and do the arithmetic.
1/2(-2)^(-4)·(4)^2 = 1/2(4^2/(-2)^4) = 1/2(16/16) = 1/2
__
We used the rule of exponents ...
a^-b = 1/(a^b)
10 gallons * 22 miles\
gallons
Answer:
2.2
Step-by-step explanation:
22 divide by 10 = 22 miles/2.2 gallons
hope it helps
Please help ASAP URGENT
The scatter plot below shows the number of pizzas sold during weeks when different numbers of coupons were issued. The equation represents the linear model for this data.
y = 3.4x + 43
According to the model, how many more pizzas are sold for each additional coupon issued?
A. 1 pizzas
B. 3.4 pizzas
C. 4.3 pizzas
D. 43 pizzas
E. 46 pizza
The question simply means how many pizzas are sold per coupon. The equation gives us 3.4x where x is the number of coupons issued. With each coupon issued 3.4 pizzas are sold.
For each additional coupon issued, 3.4 more pizzas are sold according to the linear model y = 3.4x + 43.
Explanation:The student's question pertains to the interpretation of a linear equation as it relates to a scatter plot of data on pizzas sold versus coupons issued.
The given equation is y = 3.4x + 43, which is a linear model describing this relationship.
In such a linear model, the coefficient of x (which is 3.4 in this case) represents the slope of the line and indicates the rate of change.
In other words, it tells us how many more pizzas are sold for each additional coupon issued.
Therefore, for each additional coupon issued, 3.4 more pizzas are sold according to this model.
Option B is the correct answer.
2/3 x 3/5 (multiply using Greatest Common Factor)
Answer:
.4
Step-by-step explanation:
Use a caluculator
Answer:
.4
Step-by-step explanation:
The measure of one angle of a right angle is 50 more then the measure of the smallest angle
Answer:
70° and 20°
Step-by-step explanation:
let x be the measure of one angle then x + 50 is the measure of the other angle, thus
x + 50 + x = 90
2x + 50 = 90 ( subtract 50 from both sides )
2x = 40 ( divide both sides by 2 )
x = 20
The smallest angle is 20° and the other angle is 20 + 50 = 70°
What is 15/16 - 1/4 in fractions
Answer:
11/16
Step-by-step explanation:
First get common denominators
1/4*4/4=4/16
15/16-4/16=11/16
11/16 is the answer
Final answer:
The difference between 15/16 and 1/4 is 11/16.
Explanation:
To find the difference between two fractions, we need to have a common denominator. In this case, the common denominator is 16.
Converting 1/4 into a fraction with a denominator of 16, we get 4/16.
Now we can subtract the two fractions: 15/16 - 4/16 = 11/16.
Therefore, the difference between 15/16 and 1/4 is 11/16.
Order 1,2,4,5,3,6 from least to greatest
Answer:1,2,3,4,5,6
Step-by-step explanation:
Count
Which describes a method for solving systems of equations in which you
plug in an expression for one variable written in the terms of the other?
Substitution method is used for solving systems of equations in which you plug in an expression for one variable written in the terms of the other
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The method described is called substitution method.
In the substitution method, we start by solving one equation for one of the variables in terms of the other variable.
Then, we substitute the expression we found for that variable into the other equation.
This allows us to solve for the other variable.
Finally, we substitute the value we found for that variable back into one of the original equations to solve for the first variable.
Hence, substitution method is used for solving systems of equations in which you plug in an expression for one variable written in the terms of the other
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ5
Evaluate the expression when n=5.
n^2-5n+3
Choose the equation that represents this situation. Use n to represent the
number of lawns mowed and tto represent total earnings.
Carson earns $15 for each lawn he mows. What are his total earnings?
Answer:
Step-by-step explanation:
He earns $15n
When Alyssa runs the 400 meter dash, her finishing times are normally distributed
with a mean of 60 seconds and a standard deviation of 2 seconds. Using the empirical
rule, what percentage of races will her finishing time be between 54 and 66 seconds?
Answer:
need more details
Step-by-step explanation:
Answer:
44
Step-by-step explanation:
What is the zero of the function below?
f(x) =
[tex] 3\sqrt{x + 3} - 6[/tex]
Answer:
Step-by-step explanation:
[tex]3\sqrt{x+3}-6=0\\\\3\sqrt{x+3}=6\\\\\sqrt{x+3}=\frac{6}{3}\\\\\sqrt{x+3}=2\\\\Takesquarebothsides,\\\\x+3=2^{2}\\\\x+3=4\\\\x=4-3\\\\x=1[/tex]
who is our president
Answer:
trump
Step-by-step explanation:
You have 7 folders and you want to put the same number of pages in each folder if you have a total of pages how many pages will it be in each folder.
Answer:
7 in each folder for a total of 49 pages. 7x7=49
Step-by-step explanation:
You may put a number that is a multiple of 7 which divides in to seven folders pages evenly.
Final answer:
To determine the number of pages per folder, divide the total number of pages, which is 292,992, by the number of folders, which is seven. Each folder contains 41,856 pages.
Explanation:
The student has a total of 44,800mm shelf width, which converts to 292,992 pages at a rate of 6.54 pages/mm. To find out how many pages need to go into each of the seven folders, one would simply divide the total number of pages by the number of folders.
The calculation goes as follows:
Total pages / Number of folders = Pages per folder
292,992 pages / 7 folders = 41,856 pages per folder.
Each folder would therefore contain 41,856 pages.
Determine any data values that are missing from the table, assuming that the data represent a linear function.
x
y
1
2
2
4
3
a.
7
c.
2
b.
6
d.
8
Please select the best answer from the choices provided
A
B
C
D
Final answer:
The missing data values 'a' and 'c' are determined by recognizing the linear pattern in the table, giving an 'a' value of 6 and a 'c' value of 14, which corresponds to answer choice B.
Explanation:
To determine the missing data values for a linear function, we need to identify the pattern in the given data points. We are given the data points (1, 2), (2, 4), and told that the function is linear. The change in the y-values as x increases by 1, is a consistent +2 (from 2 to 4 as x goes from 1 to 2).
To find the value of 'a' when x = 3, we add 2 to the previous y-value of 4 (at x = 2), resulting in an 'a' value of 6. To find the value of 'c' when x = 7, we add 2 repeatedly for each increase in x, which is 4 steps away from x = 3, resulting in a 'c' value of 6 + 2*4 = 14.
The missing data values 'a' and 'c' are 6 and 14, respectively, which corresponds to choice B.
(m+3n)8 plz help me now
Answer:
(8m+24n) is our final answer.
Step-by-step explanation:
Given:
(m+3n)8 ...
We have to simplify this.
Applying distributive property of multiplication:
Distributive property:
When a number is multiplied by a sum of two numbers then we will multiply 'the number' first with the number inside the parentheses then add it and again multiply 'the number' with the next number.
[tex]a(b+c)=ab+ac[/tex]
So,
⇒[tex](m+3n)8[/tex]
⇒[tex]m\times 8 + 3n\times 8[/tex]
⇒[tex]8m+24n[/tex]
Our final answer is (8m+24n).
Which steps will generate an expression equivalent to 14(x + 8)?
Answer:
Step-by-step explanation:
14(x + 8)....distribute thru the parentheses by multiplying the number directly to the left of the parenthesis, by everything in the parenthesis.
14(x + 8) = 14(x) + 14(8) = 14x + 112 <== equivalent
this is called the distributive property
Answer:
Step-by-step explanation:
Multiply each term in the parentheses by 14 and then add the products.
According to the histogram, how many people took the test?
Answer:
23
Step-by-step explanation:
you add all the numbers
As part of a statistical investigation why do statisticians gather a sample from the population?
draw 5 angles so that ∟2 and ∟3 are acute vertical angles,∟ 1 and ∟2 are supplementary , ∟2 and ∟5 are complementary and∟ 4 and ∟5 are adjacent.
Answer:
Figure is attached:
Acute angles are angles whose measures are less than 90°, so it needs to be less than a right angle.
Vertical angles are angles formed by two intersecting lines. When these lines intersect they form 4 angles in the middle. They are called vertical when they are opposite of each other like the figure attached.
Supplementary angles are two angles that sum up to 180° or they make up a straight line.
Complementary angles are two angles that sum up to 90°.
Adjacent angles are angles that are next to each other.
Find the area of the trapezoid 36mm by 15mm by 14mm.
Answer:
i think it is 357 hope this helps
Step-by-step explanation:
Answer:
1428mm
Step-by-step explanation:
Area = 0.5 (a + b) h
Area= 0.5 (36 + 15) 14
Area = 0.5 ( 51) 14
Area = 1428 mm or 1.428m
What is equivalent to 5x - 45
Answer:
Step-by-step explanation:
5x - 45 = 5(x - 9) <==
The mass of Venus is 4.87 × 10 24 kg. The mass of Earth is 5.97 × 10 24 kg. What is the difference in mass between these two planets? 1.1 kg 1.1 × 10 24 kg 1.22 × 10 24 kg 0.81 kg
The difference in mass between Earth and Venus is 1.10 times 10²⁴ kg.
The question asks for the difference in mass between Venus and Earth. To find this, we subtract the mass of Venus from the mass of Earth. The calculation goes as follows:
Mass of Earth = 5.97 times 10²⁴ kg
Mass of Venus = 4.87 times 10²⁴ kg
Difference = Mass of Earth - Mass of Venus
Difference = (5.97 times 10²⁴) - (4.87 times 10²⁴) = 1.10 times 10²⁴ kg
So, the difference in mass between Earth and Venus is 1.10 times 10²⁴ kg.
An airplane travels 1800 miles from Los Angeles to Chicago in 3.6 hours going with the wind the return trip takes 4 hours and is against the wind find the rate of the airplane with no wind find the rate of the wind
PLEASE HELP
Answer:
The speed of the airplane is 475 miles/hour and the wind is 25 miles/hour.Step-by-step explanation:
Let, the speed of the airplane is x miles/hour and the wind is w miles/hour.
With the wind, the speed will be (x + w) miles/hour and against the wind, the speed will be (x - w) miles/hour.
As per the given question, [tex]3.6(x + w) = 1800\\4(x - w) = 1800\\(x - w) = 450[/tex]or, w = x - 450.
Now, [tex]3.6(x + w) = 1800\\2x -450 = 500\\2x = 950\\x = 475[/tex].
Thus, w = 475 - 450 = 25.
Answers quick!
Real-world problem as in write a question using the variables 0.75x-18.50=0.65x.
Answer:
0.75x-18.50=0.65x
0.65x-0.75x=-18.50
-0.10x=-18.50
x=0.0054054054
Step-by-step explanation:
Answer:
185
Step-by-step explanation:
A candy cost x dollars. It is known that a bottle of water costs 0.75 times more and a hamburger costs 0.65 times more than a candy. It is also known that a water bottle costs more than a hamburger for 18.75 dollars. Whats the price of a candy.
0.75x-18.5=0.65x
0.1x=18.5
x=185
Omg! A candy costs 185 dollars xD
A force that pushes or pulls is known as
A.
a reaction force.
B. an expected force.
C. a positive force.
D. an applied force.
Answer:
D. an applied force.
Step-by-step explanation:just did it
Answer:
an applied force.
Step-by-step explanation:
An applied force is a force that occurs by pushing or pulling.
An applied force is a contact force because it requires contact between the person or object pushing or pulling and the object being pushed or pulled.
The bar graph shows changes in price of regular gasoline each year from 1996-2010. For example, at the end of 1996, the price per gallon for regular gasoline was $0.15 more than the price per gallon at the end of 1995. The price at the end of 1997 was $0.12 less than the price at the end of 1996, and so on.
Answer:
5 times
Step-by-step explanation:
First, we need to read the change in price in 2000 and 2007, from the graph.
So, the change in price in 2000 was $0.14 and in 2007 it was $0.71.
Now, we do the same thing we always do when comparing two values - we divide them. So:
0.71 / 0.14 = 5.07
Of course, we could multiply these values with 100, in order to avoid decimal numbers. Then we would get:
71 / 14 = 5.07
We could also divide this in the form of fractions:
71/100 / 14/100 = 5.07
There are several ways we could divide rational numbers, but the result will always be the same.
Change in price in 2007 was around 5 times greater than the change in 2000.