Answer:
3x+12Solution,
[tex]3(x + 4) \\ = 3 \times x + 3 \times 4 \\ = 3x + 12[/tex]
hope this helps ..
Good luck on your assignment...
Answer:
3x+12
Step-by-step explanation:
=> 3(x+4)
Using distributive property of multiplication
=> (3*x)+(3*4)
=> 3x+12
Which ordered pairs are in the solution set of system of linear inequalities?
A:(5,-2),(3,1),(-4,2)
B:(5,-2),(3,-1),(4,-3)
C:(5,-2),(3,1),(4,2)
D:(5,-2),(-3,1),(4,2)
Answer:
Option (3)
Step-by-step explanation:
There are two inequalities graphed in the figure attached.
1). Solid line having shaded above the solid line (passing through origin) will be represented by the equation,
[tex]y\geq -\frac{1}{2}x[/tex]
2). Another dotted line having shaded area below the line will be represented by the inequality,
[tex]y<\frac{1}{2}x+1[/tex]
Common shaded area of these inequalities will be the solution area.
All the ordered pairs lying in this area will be the answer.
In the given options,
Ordered pairs given in Option (3) lie in the common shaded area.
Answer:
C
Step-by-step explanation:
got it right
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
Can somebody help me with this please ?? :)
Answer: QR
Step-by-step explanation:
The simplest way to explain this is that the letters are in the same order.
B C D E
O P Q R
BC ≡ OP
CD ≡ PQ
DE ≡ QR
BE ≡ OR
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.
2x + 5y = 12
-2x + 3y = 4
In elimination method
someone please help :rewrite 2.267 repeating 67 as a simplifed answer
Answer:
2⁵³/₁₉₈
Step-by-step explanation:
2.2676767 = 2.7676767 − 0.5
2.2676767 = 2⁷⁶/₉₉ − ½
2.2676767 = 2¹⁵²/₁₉₈ − ⁹⁹/₁₉₈
2.2676767 = 2⁵³/₁₉₈
Answer:
449/198 or 2 53/198
Step-by-step explanation:
2. 267676767 = x
10x= 22. 67676767
1000x= 2267. 676767
1000x-10x= 2267.676767- 22.676767
990x= 2245x= 2245/990x= 449*5/5*198x= 449/198 x= 2 53/198HELP PLZZZZZZ!!!!!!!!!!
Answer:
<1 = <3 = 141
<4 = <2 = 39
Step-by-step explanation:
Angle 2 and angle 4 are vertical angles and vertical angles are equal
<4 = <2 = 39
<4 + <1 = 180 since they form a straight line
39+ <1 = 180
<1 = 141
<1 and <3 are vertical angles so they measure the same
<1 = <3 = 141
Answer:
this is answer
you are welcome
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
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:
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
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]
solve for n n + 1 equals 4(n - 8)
Answer:
n = 11
Step-by-step explanation:
Step 1: Distribute
n + 1 = 4n - 32
Step 2: Isolate n
1 = 3n - 32
3n = 33
n = 11
And we have our final answer!
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 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
The product (k-9 )^2 can also be written as?
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]
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!
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
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
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
URGENT!!!!
An ocicat eats 3/5 of a pound of food daily. How many ocicats can a 19 1/2 -pound bag of food feed for one week? Explain your solution.
Answer:
13 ocicats
Step-by-step explanation:
Here, we are told that an Ocicat eats 3/5 pounds of food per day.
Now, we have a bag of 19 1/2 pound of food and we want to know the number of ocicats this will feed
What we just need to do is to divide the weight of the bag by the amount in pounds that can feed a single ocicat
Thus, we have;
19 1/2 divided by 3/5
= 39/5 divided by 3/5
= 39/5 * 5/3
= 13 Ocicats
Given △ABC, AB=15, BD=9, AD ⊥ BC , m∠C=30° Find: The perimeter of △ABC.
Answer:
48 + 12√3 units
Step-by-step explanation:
ALL LENGTHS MUST BE POSITIVE (I did this to avoid writing ± and showing that only + works)
1. Find AD (you'll find why later): 15² = 9² + AD² --> AD² = 144 --> AD = 12
2. 30-60-90: 12-DC-AC --> AC = 24, DC = 12√3 (side opposite of 90 is double side opposite of 30, side opposite of 60 is √3 times the opposite of 30)
P = AB + BD + DC + AC = 15 + 9 + 12√3 + 24 = 48 + 12√3 units
The perimeter of the given triangle ABC will be 59 units.
What is a triangle?The space covered by the triangle in the two-dimensional plane will be the area of the triangle. The sum of all the sides of the triangle is called the perimeter of the triangle.
The perimeter of the triangle will be calculated as:-
First, we will calculate the perpendicular AD by using the Pythagorean theorem:-
AD = √( 15² - 9² )
AD = √144
AD = 12 units
Now we will calculate the Side AC by angle property:-
Sin 30 = 12 / AC
AC = 12 / Sin 30
AC = 12 / 0.5 = 26
The perimeter will be the sum of the all the sides of the triangle:-
P = AB + BC + AC
P = 15 + 18 + 26
P = 59 units.
Therefore the perimeter of the given triangle ABC will be 59 units.
To know more about the perimeter of a triangle follow
https://brainly.com/question/17335144
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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
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]
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.
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.
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!
Find the equation of the circle whose center and radius are given.
center (7.-3), radius = 7
Answer:
(x - 7)² + (y + 3)² = 7
Step-by-step explanation:
The equation of a circle is denoted by: [tex](x -x_1)^2+(y-y_1)^2=r^2[/tex], where [tex](x_1,y_1)[/tex] is the centre and r is the radius.
Here, the centre is (7, -3), which means [tex]x_1=7[/tex] and [tex]y_1=-3[/tex]. The radius is r = √7. Plug these values into the formula:
[tex](x -x_1)^2+(y-y_1)^2=r^2[/tex]
[tex](x -7)^2+(y-(-3))^2=(\sqrt{7}) ^2[/tex]
[tex](x -7)^2+(y+3)^2=7[/tex]
Thus, the answer is (x - 7)² + (y + 3)² = 7.
~ an aesthetics lover
When you are making a circle graph by hand, how do you convert a number for a part into its corresponding angle measure in the circle graph?
Answer:
Multiply the quotient of the number and the total by 360 degrees.
Step-by-step explanation:
If there are three parts that you want to convert to a circle graph (say 12, 9 and 15)
Step 1: Add all the numbers together.
12+9+15 =36
Step 2: Multiply the quotient of each number and the total by 360 degrees.
These are:
[tex]\dfrac{12}{36}\times 360^\circ = 120^\circ\\\dfrac{9}{36}\times 360^\circ = 90^\circ\\\dfrac{15}{36}\times 360^\circ = 150^\circ[/tex]
This is how you convert a number for a part into its corresponding angle measure.
Which of the following is the solution to (x-13)<18
Answer:
The solution to the equation (x-13)<18 is that x can be equal to the numbers 0-17 (NOT including negative numbers)