Answer:
No solution
Step-by-step explanation:
=> [tex]\frac{1}{4} (20-4a) = 6-a[/tex]
=> [tex]\frac{1}{4} *4(5-a) = 6-a[/tex]
=> [tex]5-a=6-a[/tex]
Adding a to both sides
=> [tex]5-a+a=6-a+a[/tex]
=> 5 ≠ 6
So, this equation has no solution.
2x + 5y = 12
-2x + 3y = 4
In elimination method
An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated.
(A) Draw the possibility diagram of the product of the two numbers appearing on the die in each throw
Answer:
The answer is "64".
Step-by-step explanation:
Given:
8-sided fair die
output of Die = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 }
if the Dice is thrown two times. so, the possible outputs are as follows:
[tex]\to 8 \times 8=64[/tex]
[tex]\texttt{ = (1,1),(1,2),(1,3),(1,4),(1,5),(1,6),}\\ \ \ \texttt{(1,7),( 1, 8),(2,1),(2,2),(2,3),(2,4),}[/tex]
[tex]\texttt{(2,5),(2,6),(2,7),(2,8),(3,1), (3,2),}\\ \texttt{(3,3),(3,4),(3,5),(3,6),(3,7),(3,8) ,}\\\texttt{(4,1),(4,2),(4,3), (4,4),(4,5),(4,6),} \\[/tex]
[tex]\texttt{(4,6),(4,7),(4,8),(5,1),(5,2),(5,3),}\\\texttt{(5,4),(5,5),(5,6),(5,7),(5,8),(6,1),}\\\texttt{(6,2),(6,3),(6,4),(6,5),(6,6),(6,7),}[/tex]
[tex]\texttt{(6,8),(7,1),(7,2),(7,3),(7,4),(7,5),} \\\texttt{(7,6),(7,7),(7,8),(8,1),(8,2),(8,3),}\\ \texttt{(8,4),(8,5),(8,6),(8,7),(8,8)}[/tex]
That's why the product is 64.
I’m stuck on this!?!!
Answer:
[tex]x=66^\circ[/tex]
Step-by-step explanation:
[tex]x=\frac{180^\circ - 48^\circ}{2}\\\\=\frac{132^\circ}{2}\\\\=66^\circ[/tex]
Best Regards!
Jamal traveled 80 miles in 1 1/4 hours. Which expression gives Jamal's speed in miles per hour?
Answer:
64 mph
Step-by-step explanation:
80 divided by 1.25 equals 64
1.25 is the decimal version of 1 and 1/4
Answer:
80/ 1 1/4
Step-by-step explanation:
Also CALM DOWN JAMAL DONT PULL OUT THE 9
40 meters in 16 seconds
Answer:
32 seconds
Step-by-step explanation:
Answer:
2.5 meters in a second.
Step-by-step explanation:
I'm assuming it's how many meters per second.
meters : seconds
40 : 16
10 : 4
2.5 : 1
Elizabhet debe preparar carapulcra para 32 personas si se basa en la receta que se muestra que cantidad necesitara de cada ingrediente carapulcra 8 porciones un medio de papa seca un medio kg de carne de chancho 1 cebolla grande 3 cucharadas de aji panca un entero un medio cucharadas de ajos molidos 1 cucharada de sal
Step-by-step explanation:
Para hacer las porciones para 32 personas, multiplique cada cantidad de ingrediente por 4 ya que la receta proporciona 8 porciones y 8 * 4 = 32
Papa seca = [tex]\frac{1}{2} *4[/tex]
= 2 papas secas
Cerdo = [tex]\frac{1}{2} *4[/tex]
= 2 kg de carne de cerdo
Cebollas = 1 * 4
= 4 cebollas grandes
Aji panca = 3 * 4
= 12 cucharadas de aji panca
Ajo molido = [tex]1\frac{1}{2} *4[/tex]
= [tex]\frac{3}{2} *4[/tex]
= 6 cucharadas de ajo molido
Sal = 1 * 4
= 4 cucharadas de sal
Is the following graph a linear function, a nonlinear function, and/or a relation
Answer: Option C.
Step-by-step explanation:
Ok, first, a linear function is something of the shape of:
y = a*x + b.
And the graph of those functions is a line, as the name implies, so we can discard that option.
So this must be a non-linear function, you can see that is a function because each value of x has only one value of y related to it.
Second, in a Venn diagram you will see that the set of functions is contained into the set of relationships, this means that all the functions are relationships, but not all the relationships are functions, and we know that this is a non-linear function, so this also must be a relationship.
Then the correct option is C, nonlinear, and a relationship.
help asap!!!!!! please
Answer:
Point B is 3/4
Step-by-step explanation:
the number line is split into fourths. Therefore, it is 3/4
In triangle ABC, the right angle is at vertex C, a = 714 cm and the measure of angle A is 78° . To the nearest cm, what is the length of side c?
Answer:
c = 730 cm
Step-by-step explanation:
To solve this question we just need to use the law of sines:
The ratio between a side in the triangle and its opposite angle is always the same.
So we have that:
[tex]a / sin(A) = c / sin(C)[/tex]
[tex]714 / sin(78) = c / sin(90)[/tex]
sin(78) is equal 0.9781 and sin(90) is equal 1, so we have:
[tex]714 / 0.9781 = c / 1[/tex]
[tex]c = 714 / 0.9781 = 730\ cm[/tex]
How many sides does a regular polygon have
if one of its exterior angles =45°?
Answer:
8 sides.
Step-by-step explanation:
Divide the exterior angle with 360.
360 ÷ 45 = 8
The regular polygon has 8 sides.
Answer:
Step-by-step explanation:
Sum of measures of all angles of a regular polygon = 360 degree
one exterior angle = 45 degree
∴ no of sides = 360/45 = 8 sides
hope this helps
plz mark it as brainliest!!!!!!
a store is having a sale on almonds and jelly beans. for 2 pounds of almonds and 3 jelly beans , the total cost is $14. for 4 pounds of almonds and 8 pounds of jelly beans, the total cost is $33. find the cost of each pound of almonds and each pound of jelly beans
Answer:
almonds cost $3.25 per pound and jelly beans $2.50
Step-by-step explanation:
system of linear equations
2a+3j=14
4a+8j=33
solution is (3.25, 2.5)
A company laid off one-sixth of its workforce because of falling sales. If the number of employees after the layoff is 690, how many employees were laid off?
Answer:
138
Step-by-step explanation:
Let the number of employees before the layoff be x.
1/6 of the company's workers were laid off and the remaining workers are 690. This means that:
1/6 * x = x - 690
=> x/6 = x - 690
=> 690 = x - x/6
690 = 5x/6
=> x = (690 * 6) / 5
x = 828
There were 828 workers before the layoff. Therefore, the number of employees that were laid off is:
828 - 690 = 138 employees
The company's laying off its workforce is an illustration of proportions.
A total of 138 employees were laid off
The proportion (p) laid off is given as:
[tex]p = \frac 16[/tex]
The proportion (q) remaining in the workforce would be
[tex]q = 1 - p[/tex]
This gives
[tex]q = 1 - \frac 16[/tex]
[tex]q =\frac 56[/tex]
The workforce after 1/6 were laid off is given as 690.
So, we have:
[tex]q \times n = 690[/tex]
Where n represents the original workforce
This gives
[tex]\frac 56 \times n = 690[/tex]
Multiply both sides by 6/5
[tex]n = 828[/tex]
The number of employees that were laid off is:
[tex]Employee = 828 - 690[/tex]
[tex]Employee = 138[/tex]
Hence, 138 employees were laid off
Read more about proportions at:
https://brainly.com/question/16981404
25 points !!! 3 1/3 x 52
Answer:
Irrational
Step-by-step explanation:
3 1/3 × √52
= 10/3 × √52
= 20/3√13
= 24.037009
Irrational, the product cannot be written in the form p/q as a fraction.
Answer:
irrational
Step-by-step explanation:
3 1/3 * sqrt(52)
Changing to an improper fraction
10/3 * sqrt(52)
10 /3 * sqrt( 4*13)
10/3 * sqrt(4) sqrt(13)
10/3 * 2 sqrt(13)
20/3 sqrt(13)
Since sqrt(13) is irrational the product is irrational
The slope, m, of a linear equation can be found using the formula m = StartFraction y 2 minus y a Over x 2 minus x 1 EndFraction., where the x- and y-values come from two ordered pairs, and (x1, y1) and (x2, y2).
What is an equivalent equation solved for y2?
Answer:
y2 = m(x2-x1)+y1
Step-by-step explanation:
Given the formula for finding the slope of a linear equation to be;
m = y2-y1/x2-x1 where x and y are from the ordered pairs (x1,y1) and (x2,y2)
To get the equivalent equation for y2, we will make y2 the subject of tbw formula from the equation as shown:
m = y2-y1/x2-x1
Cross multiplying
m(x2-x1) = y2-y1
mx2-mx1 = y2-y1
Adding y1 to both sides of the equation we have;
mx2-mx1 + y1= y2-y1+y1
y2 = mx2-mx1 + y1
y2 = m(x2-x1)+y1
This gives the resulting equation to solve for y2
Answer:
c
Step-by-step explanation:
edg
Which measurement is not equivalent to the others? 1 yard 3 feet 1/100 of a mile 36 inches
Answer: 1/100 of a mile
Step-by-step explanation:
36 inches is equal to 3 feet which is equal to 1 yard
1/100 of a mile = 633.6 inches
Answer:
1/100 of a mile
Step-by-step explanation:
Work out the range of these numbers : -8, 6, -5, 2.5 thanks!
Answer:
14
Step-by-step explanation:
The range of a given set of values is the lowest value deducted from the highest value.
Lowest value is -8 and highest value is 6.
Therefore,
[tex]Range = Highest value - Lowest value \\ = 6 - ( - 8) \\ = 6 + 8 \\ = 14[/tex]
Hope it helps!
According to Maria, it takes 240 cherries to make 3 perfect cherry pies. How many cherries would it take to make 9 perfect cherry pies?
Answer:
720 cherries
Step-by-step explanation:
Answer:
720
Step-by-step explanation:
Cherries Cherie pie
240 = 3
X = 9
The known number of cherries will be given as x then u cross multiply
3×X=240×9
3X=2,160
Divide both sides by 3
3/3X=2,160/3
X=2,160/3
X=720
This implies that the number of cherries needed to make 9 cherry pie is 720
I hope this help
The linear equation 3x – 11y = 10 has
a) Unique solution
b) two solution
c) infinitely many solutions
Answer:
Correct option: c) infinitely many solutions
Step-by-step explanation:
We have an equation with two variables, so as we have a system with less equations (just one) than variables (two), we have an infinite number of solutions.
To find some solutions, we can choose values for x and then just calculate the value of y:
x = 0:
-11y = 10 -> y = -10/11
x = 1:
3 - 11y = 10 -> y = -7/11
x = 2:
6 - 11y = 10 -> y = -4/11
And so on.
So the correct option is c): infinitely many solutions
A linear equation is something of the form:
y = a*x + b
Where the solutions are the pairs (x, y) such that the equality is true.
Here we will find that the correct option is c: infinitely many solutions.
In this case, we have the equation:
3x - 11y = 10
We can rewrite this as:
3x = 10 + 11*y
x = 10/3 + (11/3)*y
Ok, now we have one variable on each side, now let's see the number of solutions.
As you can see, we have one equation with two variables.
So if for example we take y = 0, we get:
x = 10/3 + (11/3)*0 = 10/3
So one solution is (10/3, 0)
If we take y = 1, we get:
x = 10/3 + (11/3)*1 = 22/3
Then another solution is (22/3, 1)
And as you can see, y can take any real value. So we have infinite values of y.
This also means that we have infinite values of x (as we have one value of x for each value of y). Then we will have infinite solutions for the linear equation.
The correct option is c.
If you want to learn more, you can read:
https://brainly.com/question/16843611
Multiply the reciprocals of -9/2 and 5/18 and add the additive inverse of -4/5 to the product. What is the result?
Answer:
0
Step-by-step explanation:
Reciprocal of -9/2 = -2/9
Reciprocal of 5/18 = 18/5
Multiplying both:
=> [tex]\frac{-2}{9}*\frac{18}{5}[/tex]
=> [tex]\frac{-2*2}{5}[/tex]
=> -4/5
Additive Inverse of -4/5 = 4/5
So, Adding both of them:
=> [tex]-\frac{4}{5} + \frac{4}{5}[/tex]
=> 0
Answer:
45
Step-by-step explanation:
-2/9 x 18/5 + 4/5 = 45
hope I'm right
2/7 - 3/2 for anyone that doesant know that’s a fraction am struggling on
Answer:
-17/14
Step-by-step explanation:
To subtract fractions, you must have a common denominator. If that is not given, you make it.
You do so buy finding the LCM of denominators:
LCM of 7 and 2 = 14
Now, here you have multiplied the denominators either by 7 or 2. You do the same for the respective numerators:
2x2/14 - 3x7/14 = 4/14 - 21/14.
Now that you have the same denominator, subtract the numerators:
4-21 = - 17
Put it back as a fraction : -17/14
hope this helps.
In this picture B,D, and F are midpoints. AC=50, CE=60, and BD=35
DF=[?]
please help !!
Answer:
DF = 25
Step-by-step explanation:
We know that the triangle midpoint theorem says that the line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.
So,
DF = [tex]\frac{1}{2} AC[/tex]
Where AC = 50
DF = 50/2
DF = 25
The area of a room is roughly 9∗10^4 square inches. If a person needs a minimum of 2.4∗10^3 square inches of space, what is the maximum number of people who could fit in this room
Answer:
37
The maximum number of people who could fit in this room is 37
Step-by-step explanation:
Given;
The area of a room A = 9 × 10^4 square inches
Minimum Area needed per person M = 2.4×10^4 square inches
The maximum number of people who could fit in this room is;
N = The area of a room A/Minimum Area needed per person M
N = A/M
Substituting the values;
N = 9×10^4 ÷ 2.4×10^3
N = 37.5
Since we can not have a 0.5 person, the number would be approximated down to nearest lower whole number.
N = 37
The maximum number of people who could fit in this room is 37
Suppose a triangle has two sides of length 3 and 4 and that the angle
between these two sides is 60°. What is the length of the third side of the
triangle?
A. 5
B. 113
C. 413
D. 3
SUBMIT
The graph of the function f(x)=x^2-4x+6 is shown here. What is it’s axis of symmetry
Answer:
x = 2
Step-by-step explanation:
Since you didn't attach an image of the graph I'll have to do this the long way and use a strategy called "completing the square" to find the vertex. The x-coordinate of the vertex is the axis of symmetry.
x² - 4x + 6
= (x - 2)² - 4 + 6
= (x - 2)² + 2, therefore the vertex is (2, 2) so the axis of symmetry is x = 2.
Miguel is playing a game in which a box contains four chips with numbers written on them. Two of the chips have the number 1, one chip has the number 3, and the other chip has the number 5. Miguel must choose two chips, and if both chips have the same number, he wins $2. If the two chips he chooses have different numbers, he loses $1 (–$1). Let X = the amount of money Miguel will receive or owe. Fill out the missing values in the table. (Hint: The total possible outcomes are six because there are four chips and you are choosing two of them.) Xi 2 –1 P(xi) What is Miguel’s expected value from playing the game?
Answer:
The answer is "[tex]\bold{-\frac{1}{2}}[/tex]"
Step-by-step explanation:
Miguel's choose the best way to win the 2 dollars by pulling the two chips with the number 1. In total, there are four balls, so his probability of winning is:
[tex]\to \frac{2}{4} \times \frac{1}{3}= \frac{1}{6}[/tex]
The chances of losing a dollar add up to that amount, so 5/6.
Price predicted = [tex]\frac{1}{6} \times (2) + \frac{5}{6} \times (-1)[/tex]
[tex]=\frac{1}{6} \times 2 + \frac{5}{6} \times -1\\\\=\frac{1}{3} - \frac{5}{6} \\\\=\frac{2-5}{6}\\\\=\frac{-3}{6}\\\\=- \frac{1}{2}\\[/tex]
The final answer is "[tex]-\frac{1}{2}[/tex]"
the diagonals PR and QS of a rhombus intersect each other at point O. prove that 2(PQ) + 2(QR) + 2(RS)+ 2(PS) = 4 (2(OP)+2(OQ))
Answer:
It is proved that 2PQ + 2SR + 2QR + 2 PS = 4(2(OP)+2(OQ))
Step-by-step explanation:
In a rhombus, all sides are equal.
Thus, in this question;
PQ = SR = QR = PS
By inspection, QS is the same dimension as the four sides. So, QS = PQ
Thus, OQ = PQ/2
For OP, we can find it using Pythagoreas theorem since the angle that divides the diagonals is 90°
Thus;
|OP|² + |OQ|² = |PQ|²
Earlier, we saw that;OQ = PQ/2
Thus;
|OP|² + |PQ/2|² = |PQ|²
|OP|² = |PQ|² - |PQ/2|²
|OP|² = |PQ/2|²
Taking square root of both sides, we have;
OP = PQ/2
So,going back to the question, on the right hand side, we have;
4(2(OP) + 2(OQ))
Let's put,
PQ/2 for OQ and OP as gotten earlier
So,
4(2(PQ/2) + 2(PQ/2)) = 4(PQ + PQ)
Since PQ = SR = QR = PS, we can rewrite as;
4PQ + 4PQ = (PQ + SR + QR + PS) + (PQ + SR + QR + PS) = 2PQ + 2SR + 2QR + 2 PS
This is equal to the left hand side, so the equation is proved correct.
Find the slope of the tangent to the curve below at (-1,10)
Answer:
- 8
Step-by-step explanation:
Note that [tex]\frac{dy}{dx}[/tex] is the slope of the tangent at x = a
Differentiate using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]
Given
y = 3x² - 2x + 5, then
[tex]\frac{dy}{dx}[/tex] = 6x - 2
x = - 1 : [tex]\frac{dy}{dx}[/tex] = 6(- 1) - 2 = - 6 - 2 = - 8
P What is the range of the exponential function f(x) = 2 ^ x + 6
Answer:
y ≥6
Step-by-step explanation:
Simplify (10–2) 4. A) 10^-8 B)10^-6 C)-10^-6 D)-10^8
Answer:
A
Step-by-step explanation:
[tex](10^{-2})^{4}[/tex]
Apply the law of exponents.
[tex]10^{-2 \times 4}[/tex]
[tex]=10^{-8}[/tex]
Answer:
[tex] = {10}^{ - 8} \\ [/tex]
Answer A is correct.
Step-by-step explanation:
[tex] {( {10}^{ - 2}) }^{4} \\ {10}^{ - 2 \times 4} \\ = {10}^{ - 8} [/tex]
A cone shaped container can hold 340.2 in cubed. If the radius of the opening is 5in what is the height of the cone? Round to the nearest in.
Answer:
about 128 inches
Step-by-step explanation:
Since it's talking about how much the container is holding, this means we have to use the formula for the volume of a cone, which is [tex]V=\pi r^{2} \frac{h}{3}[/tex]
Plug in the given values into the formula and solve for h:
[tex]340.2=\pi (5)^{2} \frac{h}{3}[/tex]
[tex]340.2=\pi (25)\frac{h}{3}[/tex]
[tex]\frac{340.2}{25\pi } = \frac{25\pi\frac{h}{3} }{25\pi }[/tex]
[tex]42.75=\frac{h}{3}[/tex]
[tex]42.75(3)=\frac{h}{3} (3)[/tex]
[tex]128=h[/tex]