The value of x is -6.5.
How to solveFirst, substitute the value of y into the equation:
2x - 3(-7) = 8
Now, solve for x:
2x + 21 = 8
Subtract 21 from both sides:
2x = -13
Divide by 2:
x = -13/2 or -6.5
So, the value of x is -6.5.
We started with the given equation and information:
Equation: 2x - 3y = 8
Given: y = -7
Our task is to find the value of 'x' using the given information which was solved above and of which we substituted the value of y into the equation, simplified, subtracted and divided and got the answer to the equation which is -6.5.
Read more about equations here:
https://brainly.com/question/2972832
#SPJ1
Given the equation 2x - 3y = 8 and y = -7, find the value of x.
ABCD is a trapizoid of bases [AB] and [DC], M and N are the midpoint of [AD] and [BC] if DC=11cm and MN=9cm then AB=
Answer:
\(AB = 7\)
Step-by-step explanation:
Given
\(DC = 11\)
\(MN = 9\)
Required
Find AB
Since MN is the midpoint, then:
\(MN = \frac{1}{2}(AB + DC)\)
\(9 = \frac{1}{2}(AB + 11)\)
Multiply by 2
\(2 * 9 = \frac{1}{2}(AB + 11)*2\)
\(18 = AB + 11\)
\(AB = 18 - 11\)
\(AB = 7\)
Carmenjello went to the secret panda company in Alabama to purchase pandas for his community. He bought 39
1/4 pandas on Monday, 17 1/5 pandas on Tuesday, and 52 ½ pandas on Wednesday. On Thursday 7 3/4 pandas ran away from his back to their home. There are 5 neighborhoods in his community that will evenly split the pandas
between one another. How many pandas will each neighborhood receive?
Each neighbourhood will receive 23.34 pands.
What are fractions?In mathematics, a fraction is defined as a portion of the whole. If a pizza is cut into four equal pieces, each piece is represented by ¼. Fractions make it easier to distribute and judge numbers and speed up calculations. There are three major types of fractions in mathematics. Proper fractions, improper fractions, and mixed fractions are the three types. Fractions are terms that have a numerator and a denominator.So, 39¼ + 17⅕ + 52½ + 7¾.
Now, solve the above mathematical operation as follows:
39¼ + 17⅕ + 52½ + 7¾157/4 + 86/5 + 105/2 + 31/4LCM of 4, 5, 2, and 4: 20
Now,
5(157) + 4(86) + 10(105) + 5(31)/20785 + 344 + 1050 + 155/202334/20116.7Now, divide 116.7 by 5:
116.7 ÷ 5 = 23.34Therefore, each neighbourhood will receive 23.34 pands.
Know more about fractions here:
https://brainly.com/question/17220365
#SPJ9
In the triangle below, with right angle ZA, suppose that m B = (2x)° and mC = (5x-8)°.
Find the degree measure of each angle in the triangle.
B
(2x)
A
A
-
(x – 8)=
mZA
=
mZB =
mZC =
X
Answer:
m angle B = 27.54 degree
m angle C = 60.85 degree
Step-by-step explanation:
angle A is 90º so the other two angles must sum to 90º
2x+5x-8=90
7x-6=90
7x=96
x=13.77
therefore,
m angle B = 27.54 degree
m angle C = 60.85 degree
i kinda understand it ... im just not sure i have the right answer :( this is soo stressful can anyone help ?
=======================================================
Explanation:
The angles shown are alternate exterior angles. They are exterior of the parallel lines (ie outside the parallel lines) and they alternate on either side of the diagonal transversal cut.
If those alternate exterior angles are congruent, then lines L and M are parallel.
2x-3 = x+4
2x-x = 4+3
x = 7
Answer:
x = 7
Step-by-step explanation:
2x - 3 and x + 4 are alternate exterior angles with same measure
2x - 3 = x + 4
2x - x = 4 + 3
x = 7
Martin thinks of two numbers. he says, "The HCF of my two numbers is 6. The LCM of my two numbers is 15" write down two possible answers Martin is thinking of.
Answer:
There is no possible answers
Step-by-step explanation:
We are told in the above question that:
"The HCF of my two numbers is 6.
This means the two numbers are factors of 6
"The LCM of my two numbers is 15"
LCM means the lowest common multiple.
This means the two numbers must be have 15 as one of its multiples.
From the above explanation above, there are no two numbers like that
karl filled up the tank of his truck with 400 liters of fuel and set out to deliver a shipment of bananas to alaska. the truck consumed 0.8 liters of fuel for each kilometer driven.
The graph of the relationship between the amount of fuel remaining in the trucks tank (in liters) and distance driven (in kilometers) is a linear equation given by, y = 400 - 0.8x
Given that Karl filled up the tank with 400 liters of fuel initially.
As time passes and more distance is covered, the amount of fuel will decrease. Thus the amount remaining is inversely proportional to the distance driven.
Let 'x' be the distance driven (in kilometers) by the truck and 'y' be the remaining fuel (in liters) in the tank.
It says that the truck consumes 0.8 liters of fuel for each kilometer driven.
Then the linear equation modelling this will be :
y = 400 - 0.8x
The graph can be drawn with values of 'x' on the x-axis and the values 'y' on the y-axis.
x y
1 399.2
2 398.4
3 397.6
4 396.8 and so on.
The question is incomplete. Find the complete question below:
Karl filled up the tank of his truck with 400 liters of fuel and set out to deliver a shipment of bananas to Alaska. The truck consumed 0.8 liters for each kilometer driven.
Graph the relationship between the amount of fuel remaining in the trucks tank (in liters) and distance driven (in kilometers).
Learn more about graphs at https://brainly.com/question/14323743
#SPJ4
Find the value of x. PLEASE HELP I NEED THIS ANSWER.
Answer:
Solution:
Hence the value of x=4
13.At the Finch School bake sale, donuts sell
for $2 each muffins sell for $3 each. A
combined total of 104 donuts and muffins
are sold, resulting in $243 in sales. Which
of the following statements must be true?
a. 69 more muffins were sold than donuts.
b. 34 more muffins were sold than donuts.
c. 34 more donuts were sold than muffins.
d. 69 more donuts were sold than muffins.
Answer:
c)
Step-by-step explanation:
create a system of equations:
d + m = 104
2d + 3m = 243
now use substitution method based on 'd = 104 - m'
2(104 - m) + 3m = 243
208 - 2m + 3m = 243
208 + m = 243
m = 35
So, 35 muffins and 69 donuts were sold.
This is 34 more donuts than muffins.
Divisibility by 10 of number 7236
7236 is NOT divisible by 10
Step-by-step explanation:
any number that ends with zero is divisible by 10 but 7236 dosent end with zero so 7236 isnt divisible by 10
the rectangle to the right is composed of squares that measure 2 1/4 inches on each side. What is the area in square inches ?It's a rectangle that is 4 squares across and 3 squares down.
Given:
The number of square boxes in the horizontal direction is 4.
The number of square boxes in the vertical direction is 3.
The side measure of each square box is,
\(2\frac{1}{4}inches\)To find: The area of the rectangle.
Explanation:
The formula of the area of the rectangle is,
\(A=l\times b\)Here,
\(\begin{gathered} l=4\times2\frac{1}{4} \\ l=4\times\frac{9}{4} \\ \Rightarrow l=9inches \\ b=3\times2\frac{1}{4} \\ b=3\times\frac{9}{4} \\ \Rightarrow b=\frac{27}{4}inches \end{gathered}\)The area of the rectangle is,
\(\begin{gathered} A=9\times\frac{27}{4} \\ =\frac{243}{4} \\ =60.75\text{ }square\text{ inches} \end{gathered}\)Final answer:
The area of the rectangle is 60.75 square inches.
Two vehicles are traveling at constant speeds. The distance traveled over a period of
time by the first vehicle is shown in the graph below. The distance traveled over a
period of time by the second vehicle is shown in the table below. Which vehicle is traveling
at a greater speed?
Vehicle 1
Vehicle 2
Distance (miles)
(3,120)
(2,80)
Time Distance
(hours) (miles)
5 150
8 240
Time (hours)
T
Answer:
Step-by-step explanation:
vehicle one is traveling at a greater speed. from the graphs we can see that in one hour the care would travel 40 miles.
the table shows the 2nd vehicle traveling 30 miles in one hour
So car 1 is going faster :)
Answer:
Vehicle 1 is Moving Faster.
Step-by-step explanation:
For vehicle 1.
(2,80) (3,120)
∆Distance= 120-80 = 40miles
∆time = 3-2=1hr
So V=Distance/time = 40miles/1hr
V1 = 40miles per hour.
For car 2.
∆Distance=240-150 =90miles
∆time=8-5 = 3hrs
V=90/3
V=30Miles per hour.
So Car1 is Moving faster and at a velocity of 40Miles per hour.
A quantitative variable x is a _ if the value that x takes on in a given experiment or observation is a chance or random outcome.
A quantitative variable x is a "Random Variable" if the value that x takes on in a given experiment or observation is a chance or random outcome.
What is Random Variable?A random variable is one with an unknown value or a function which assigns qualities to each of the outcomes of an experiment.
Some key features regarding the Random Variable are-
Random variables are frequently denoted by letters and may be categorized as discrete, which have specific values, and continuous, which can have any value within a considerable range.A random variable is one with an unknown value or a function that allocates values to each of the outcomes of an experiment.A random variable can be discrete (with fixed values) or continuous Random variables are most commonly used in probability and statistics to quantify the results of random occurrences.Risk analysts predict the likelihood that a negative event occurring using random variables.To know more about the Random Variable, here
https://brainly.com/question/14356285
#SPJ4
3.Find the surface area of the figures
(a) 5cm
C
12cm
Find a polynomial f(x) of degree 7 such that −2 and 2 are both zeros of multiplicity 2, 0 is a zero of multiplicity 3, and f(− 1) = 27. Sketch the graph of f.
the polynomial is: \(f(x) = (x + 2)^2(x - 2)^2x^3.\)
What is polynomial?
A polynomial is a mathematical expression consisting of variables and coefficients, involving only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.
Since -2 and 2 are zeros of multiplicity 2, we know that the factors \((x + 2)^2 and (x - 2)^2\) must be in the polynomial. Since 0 is a zero of multiplicity 3, we know that the factor \(x^3\) must also be in the polynomial. Therefore, we can write:
\(f(x) = k(x + 2)^2(x - 2)^2x^3\)
where k is some constant. To find k, we can use the fact that f(-1) = 27:
\(27 = k(-1 + 2)^2(-1 - 2)^2(-1)^3\)
27 = 27k
k = 1
So the polynomial is:
\(f(x) = (x + 2)^2(x - 2)^2x^3\)
To sketch the graph of f, we can start by plotting the zeros at x = -2, x = 2, and x = 0. Since the degree of the polynomial is 7, we know that the graph will behave like a cubic function as x approaches infinity or negative infinity. Therefore, we can sketch the graph as follows:
As x approaches negative infinity, the graph will go downward to the left.
As x approaches -2 from the left, the graph will touch and bounce off the x-axis.
As x approaches -2 from the right, the graph will touch and bounce off the x-axis.
Between -2 and 0, the graph will be shaped like a "W", with three local minima and two local maxima.
At x = 0, the graph will touch and bounce off the x-axis.
Between 0 and 2, the graph will be shaped like a "U", with one local minimum and one local maximum.
As x approaches 2 from the left, the graph will touch and bounce off the x-axis.
As x approaches 2 from the right, the graph will touch and bounce off the x-axis.
As x approaches infinity, the graph will go upward to the right.
To learn more about polynomial visit:
https://brainly.com/question/4142886
#SPJ4
what is the solution for X in the equation -4 + 5x - 7 equals 10 + 3 x - 2x
choices:
A- x= 4/21
B- x= 13/4
C- x= 4/13
D- x= 21/4
Answer:
x=21/4Step-by-step explanation:
Lashonda started to run on a treadmil, after setting it's timer for 64 minutes, The display states that she has finnished 68% of her run, how many minutes have gone by?
Step-by-step explanation:
It is 64*0.32=20.48 minutes or 20.5 minutes.
Answer:
43.52
Step-by-step explanation:
first you have to multiply the amount of time in all by the percent she has done. then after that you divide by 100.
PLEASE HELP, State the following key features of the quadratic function
The features of the quadratic function, y = (x - 4)² - 1 are;
a) Vertex = (4, -1)
b) Domain; -∞ < x < ∞
c) Range; -∞ < y ≤ -1
d) x-intercepts; (5, 0), (3, 0)
e) y-intercept; (0, 15)
f) Axis of symmetry; x = 4
g) Congruent equation; y + 1 = (x - 4)²
What is the vertex form of a quadratic function?The vertex form of a quadratic equation (the equation of a parabola) can be presented as follows;
y = a·(x - h)² + k
Where;
a = The leading coefficient
(h, k) = The coordinates of the vertex
The axis of symmetry is; x = h
The y-intercept is the point on the graph where x = 0
The x-intercept is the point on the graph where; y = 0
The specified quadratic function is; y = (x - 4)² - 1
Therefore;
a) The vertex, (h, k) = (4, -1)
b) The graph of the function is continuous, therefore the domain is the set of all real numbers, or the domain is; -∞ < x < ∞
c) The range is the set of possible y-values, therefore;
The range is; -∞ < y < -1
d) The x-intercept are; y = (x - 4)² - 1 = 0
(x - 4)² = 1
x - 4 = √1 = ±1
x = 1 + 4 = 5, and x = -1 + 4 = 3
The x-intercepts are; (5, 0), and (3, 0)
e) The y-intercept is; y = (0 - 4)² - 1 = 15
The coordinate of the y-intercept is; (0, 15)
f) The axis of symmetry, x = h is; x = 4
g) The congruent equation to y = (x - 4)² - 1 is; y + 1 = (x - 4)²
Learn more on the features of a quadratic function here: https://brainly.com/question/28707254
#SPJ1
What is the length of side AB?
Answer:
Step-by-step explanation:
4
What is a value in math
answer fast, please :)
Mammoth Muffler employs supervisors and helpers. According to the union contract,
a supervisor does 2 brake jobs and 3 mufflers per day, whereas a helper does 6 brake
jobs and 3 mufflers per day. The home office requires enough staff for at least 24 brake
jobs and at least 18 mufflers per day. If a supervisor makes $90 per day and a helper
makes $100 per day, how many of each should be employed to satisfy the constraints
and to minimize the daily labor cost?
What are you trying to maximize or minimize?
What is the function we will use to minimize?
Define the variables used in the problem.
What constraints do we have and what inequalities describe them?
Graph these inequalities on the graph below.
aion
I
Answer:
3 brakes and Mufflers each one
Step-by-step explanation:
Employes:
daily production
Supervisor = 2b and 3m
Helper = 6b and 3m
both make 8brakes and 6mufflers daily
3(8b+6m)=24brakes and 18muffles
than means you need 3 Supervisor and 3 Helpers to complete the order
S=3(2b+3m) = 6b + 9m
H=3(6b+3m) = 18m + 9m
3S=$270
3H=$300
Daily cost = $570
I know this is not enough of an answer but I hope this helps a little
Show \( P=(1,3) \) (1) \( x p \) (2) \( F_{*}\left(x_{p}\right) \)
Given the point P = (1, 3), (1) represents the x-coordinate of point P as xp = 1, and (2) represents the function F(xp)
From the given information, we have the point P = (1, 3). The x-coordinate of point P is represented as xp, which is xp = 1. This means that the x-coordinate of point P is 1.
F(xp),F could represent a function or transformation that operates on the x-coordinate of a point. Without knowing the specific definition or properties of F, it is not possible to provide a detailed explanation or calculation of F(xp) based on the given information.
If you can provide more context or information about the function F and its operation on the x-coordinate xp, I would be able to provide a more specific explanation or calculation based on that context.
Learn more about function here:
https://brainly.com/question/31062578
#SPJ11
please help asap!!!!
Answer:
y = 3 + the square root of 2.
Step-by-step explanation:
message me if you have any other math questions
The ratio 28:21 is equivalent to 4:x. What is the value of x?
Answer:
3
Step-by-step explanation:
28:21=
7(4):7(3)=
4:3
x=3
Hope this helps!
Please Please Please help me
Answer:
18 \(\sqrt{5\\}\)
Step-by-step explanation:
Answer:
Original: 40.249223595
Simplified: 40.2
Step-by-step explanation:
3√5 = 6.7 (simplified)
15√5 = 33.5 (simplified)
6.7 + 33.5 = 40.2
6x+4=11
you need to solve for x
Answer: x=1.6666666666
Step-by-step explanation: I think 11-4=7, and 7/6=1.666666666
Directions: Follow the instructions for the following inequalities. Will give brainlist!
1. 4<7 Multiply both sides by 7, then by 6, then by 3, then by 10
2. 11>-2 Add 5 to both sides, then add 3, then add (-4)
3. -4<-2 Subtract 6 from both sides, then 8, and then 2
4. -8<8 Divide both sides by -4, then by -2
5. Write a short explanation of the effects of the above operations. Did this affect the inequality sign? Was it still true? Why or why not?
1) 4<7
×7 ×7
28<49
×6 ×6
168<294
×3 ×3
504<882
×10 ×10
5040<8820
2) 11>-2
+5 +5
16> 3
+3 +3
19>6
+-4 +-4
15>2
3) -4<-2
-6 -6
-10<-8
-8 -8
-18<-16
-2 -2
-20<-18
4) -8<8
÷-4 ÷-4
2<-2
÷-2 ÷-2
-1< 1
5) ~The affect of the inequality sign didn't change. If you add or subtract the same positive or negative number to both sides of an inequality or an equation, the inequality stays the same. If you multiply or divide both sides of an inequality or an equation by the same positive number, the inequality stays the same. This is because when manipulating inequalities there are rules this if a < b then a + c < b + c so we get a new number that replaces a and b yet the inequality symbol stays the same so a still is smaller than b.
Hope this helped you- have a good day bro cya)
For all parts of this question, use the function 4x + 3y = 9
Part A: compeleré the x-y table. (Photo provided)
Part B: evaluate f(6)
Part C: what is the y-intercept of the equation?
The x-y table is completed as follows:
1) y = 11 where x = -6
y = 7 where x = -3
y = 3 where x = 0
y = -1 where x = 3
2) f(6) results in y = -5
3) the intercept of the equation 4x + 3y = 9 are (0,3). See the attached graph.
What is the rationale for the above response?To derive the y values given in (1) above, all that we need to do is plug in th value of x into the equation and solve. Here is an example:
Given 4x + 3y = 9, the value of y when x = -6 is:
4(-6) + 3y = 9
⇒ -24 + 3y = 9
Collect like terms over the equals sign and we have:
3y = 9+ 24
3y = 33 (divide both sides by 3)
3y/3 = 33/3
y = 11
The above steps can be repeated for all other cases of x to get y.
2) f(6) simply means to find y when x is set to 6. The steps above apply.
f(x) = 4x + 3y - 9
-3y = 4(6) -9
-3y = 24-9
-3y = 15 (divide both sides by -3)
-3y/-3 = 15/15
y = -5
3) Note that when a point crosses the y-axis, it is referred to as the y-intercept. The intercept of a line is the point at which it intersects the x-axis or the y-axis. If no axis is supplied, the y-axis is normally used. The letter 'b' is commonly used to represent it.
Learn more about intercept;
https://brainly.com/question/29113022
#SPJ1
Question Progress
BR
Bernie, Eddy and Gery share £450
Bernie gets twice as much as Eddy who gets three times as much as Gery.
Work out how much they each get.
?
Bernie gets 270, Eddy gets 135, and Gery gets 45.
What is linear equation?
A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation
Given,
Total amount of money = 450
Let B bernie's amoutn, E is eddy's And G is gery's
B = 2E
E = 3G
G = 3/E
B+E+G =450
2E+3G+G=450
2(3G)+3G+G = 450
10 G = 450
G = 45
E = 135
B = 270
To know more about linear equation, visit:
https://brainly.com/question/14495936
#SPJ9
a store makes a profit of $1000 in January. in February the sales are up 25%, but in March the profit is down 25%. The manager says the profit for the march is still $1000. What is his error? What is the actual profit for the march?
Answer:
The profit is 937.50$ The manager subtracted 25% from januarary's profit not march's.
Step-by-step explanation:
1000 times 25% is 1250 - 25% = 937.50
Answer:
Step-by-step explanation:
The profit is 937.50$ The manager subtracted 25% from januarary's profit, not march's.
Step-by-step explanation:
1000 times 25% is 1250 - 25% = 937.50