Answer:
(C)[tex]-6x+8(-x+6) = 6[/tex]
Step-by-step explanation:
Given the system of equations
[tex]x+y=6 \\-6x+8y = 6[/tex]
From the first equation:
x+y=6
Making y the subject, we have:
y=-x+6
Substituting y=-x+6 into the second equation, we obtain:
[tex]-6x+8(-x+6) = 6[/tex]
The correct option is C.
NOTE: The goal of substitution is to reduce the number of unknown variables to 1. Therefore, after the substitution, if you still have the two unknown, you might have done something incorrect.
Solve this please! And if you can tell me how and why
Answer:
Theres no solution ._.
Step-by-step explanation: Bc you have the 2 lines
Answer: No solution
Step-by-step explanation:
There are no values of x that make the equation true
what is the other way to solve besides multiplying both sides by a common factor
Answer:
Here's one way
Step-by-step explanation:
13) multiply each term by 24
9x - 32x = 96
-23x = 96, divide both sides by -23
x = -4.17
what is the value of 3cubed
Answer:
27
Step-by-step explanation:
[tex]3^{3}[/tex] is basically just multiplying the number 3, three times. So 3x3x3. 3x3 is 9, and when you multiply 3 more, it is 27.
Answer:
Step-by-step explanation: 3, because when 3 is cubed you get 27.
OL ⊥ ON start overline, O, L, end overline, \perp, start overline, O, N, end overline \qquad m \angle LOM = 3x + 38^\circm∠LOM=3x+38 ∘ m, angle, L, O, M, equals, 3, x, plus, 38, degrees \qquad m \angle MON = 9x + 28^\circm∠MON=9x+28 ∘ m, angle, M, O, N, equals, 9, x, plus, 28, degrees Find m\angle LOMm∠LOMm, angle, L, O, M:
Answer:
44°Step-by-step explanation:
If side OL is perpendicular to ON i.e OL ⊥ ON, then angle ∠LON = 90°. If the is another line OM projecting from O with ∠LOM= (3x+38)° and ∠MON= (9x+28)°, then ∠MON + ∠LOM = ∠LON
Substituting the given angles int the expressions above to calculate the value of x;
(9x+28)° + (3x+38)° = 90°
12x+66 = 90°
12x = 90-66
12x = 24
x = 2°
Since ∠LOM= (3x+38)°, to get the value of the angle, we will substitute x = 2° into the expression as shown;
∠LOM= (3(2)+38)°
∠LOM= 6+38
∠LOM= 44°
Hence the measure of angle LOM is 44°
Answer: LOM = 44°
Step-by-step explanation: it’s right on khan academy (picture for proof)
Solve this one 0.2=x/5-1.4
Answer:
x = 8[tex]0.2 = \frac{x}{5} - 1.4[/tex]
Move 1.4 to the left side of the equation
That's
[tex]0.2 + 1.4 = \frac{x}{5} \\ \\ \frac{x}{5} = 1.6[/tex]
Convert the decimal to fraction
That's
1.6 = 8/5
[tex] \frac{x}{5} = \frac{8}{5} [/tex]
Multiply through by 5
We have
[tex] \frac{x}{5} \times 5 = \frac{8}{5} \times 5 \\ \\ \\ x = 8[/tex]
Hope this helps you
formula of minimmum pressure
what is the 46th term of the arithmetic sequence with this explicit formula
Answer:
A. -146
Step-by-step explanation
46th term = -11 + ( 46 -1) (-3)
= -11 + (45)(-3)
=-11 -135
= - 146
Solve for x. Enter your answer in the box. x =
Answer:
X =6
Step-by-step explanation:
24/12 : (5x+2)/16
Solve
Answer:
X=6
Step-by-step explanation:
Got right on test.
Find the volume of the cone shown below.T
15
12
A. 9727 units
B. 972 units
C. 3247 units
D. 324 units
The answer is- D. 324 pi units squared
The volume of the cone is 324π cubic units, option C is correct.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
We have to find the volume of cone whose height is 12 units, radius is 9 units
Volume = πr²h/3
Now let us plug in values of r and h which are radius and height respectively
Volume of cone = π × 9² ×12 /3
= π × 81×4
=324π cubic units
Hence, the volume of the cone is 324π cubic units, option C is correct.
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
#SPJ5
I don't know this question. Help.
Answer:
-60
Step-by-step explanation:
-3 · 2 = -6 and 10⁴ · 10⁻³ = 10⁽⁴⁺⁽⁻³⁾⁾ = 10¹ = 10 so the answer is -6 · 10 = -60.
Dora can plant 150 flowers in the same time it takes charlie to plant 120 flowers. Also Dora can plant 18 flowers more per day than charlie. How many flowers can Charlie plant per day?
Answer:
Number of flowers planted planted by Charlie per day = 72
Step-by-step explanation:
Given:
Dora can plant 150 flowers and Charlie plants 120 flowers in same time.
Dora can plant 18 flowers more per day than that of Charlie.
To find:
Flowers that can be planted by Charlie per day = ?
Solution:
Let the time taken by Dora to plant 150 flowers = T days
So, T will be the time taken by Charlie to plant 120 flowers.
Number of flowers planted by Dora per day = Total Number of flowers planted by Dora divided by number of days
Number of flowers planted by Dora per day = [tex]\frac{150}{T}[/tex]
Similarly, Number of flowers planted by Charlie per day = Total Number of flowers planted by Charlie divided by number of days
Number of flowers planted by Charlie per day = [tex]\frac{120}{T}[/tex]
As per condition given:
[tex]\dfrac{150}{T} = \dfrac{120}{T} +18[/tex]
Solving the above equation by taking LCM:
[tex]\Rightarrow \dfrac{150}{T} = \dfrac{120 +18T}{T}\\\Rightarrow 150=120+18T\\\Rightarrow 18T = 30\\\Rightarrow T = \dfrac{30}{18}\\\Rightarrow T = \dfrac{5}{3}\ days[/tex]
Number of flowers planted by Charlie per day = [tex]\frac{120}{T}[/tex] = [tex]\frac{120\times 3}{5} = 72[/tex]
So, answer is:
Number of flowers planted planted by Charlie per day = 72
26. A positive whole number is called stable if at least one of its digits has the same value
as its position in the number. For example, 78247 is stable because a
the 4th position. How many stable 3-digit numbers are there?
appears in
Answer:
OneStep-by-step explanation:
Given the value 78247 a s a stable number because at least one of its digits has the same value as its position in the number. The 4th number in the value is 4, this makes the number a stable number.
The following are the 3-digits stable numbers that appears in 78247
The first number is 824. This digits are stable numbers because 2 as a number is situated in the same place as the number (2nd position).
Hence, there are only 1 stable 3-digit numbers in the value 78247 since only a value exists as 2 in the value and there is no 1 and 3 in the value.
What is the equation of a line, in general form, that passes through points (-1, 2) and (5, 2)? A. y - 2 = 0 B. y - x - 2 = 0 C. x - 2 = 0
Answer:
y=2 or y-2=0
Step-by-step explanation:
to find the equation first find the slope m points (-1,2) and (5,2)
m=y2-y1/x2-x1 =2-2/5-(-1)=0/6=0
y=mx+b the slope is zero then y=b=2
Find the term that must be added to the equation x^2−6x=7 to make it into a perfect square.
Answer:
Step-by-step explanation:
x^2-6x=7 is our equation
x^2-2*3*x= 7
So the term we will be adding is 3^2 since 3 the second term is 2*3*x
x^2-6x+9=7-9
We added 9 and substract it to keep the equation
(x+3)^2 = -2
Wich is impossible since a squared number is always positive
The smaller the cookies the more I can fit in a container. Which graph models this situation?
A)А
B)B
C)C
D)D
Answer:
C: as the size increases the amount decreases. this means as the x-value increases, the y-value decreases, which is shown by graph C.
Answer:
your answer is c )c and where are you live
i need help please
Answer:
See below.
Step-by-step explanation:
In all triangles, the three interior angles will add up to 180°. Therefore:
[tex](9x+6)+(5x)+(90)=180[/tex]
Remember that the little square means a right angle.
Now, solve for x.
[tex]9x+6+5x+90=180\\14x+96=180\\14x=84\\x=6[/tex]
Now, plug x back into the equations to find each angle:
1)
[tex]\angle ABC = \angle B = 9(6)+6=60\textdegree[/tex]
2)
[tex]\angle BCA = \angle C = 90\textdegree[/tex]
3)
[tex]\angle CAB = \angle A=5(6)=30[/tex]
Answer:
1. angle ABC = 60
2. angle BCA = 90
3. angle CAB = 30
Step-by-step explanation:
Since we know the right angle =90 degrees, we just need to do simple algebra. (We also know the all three angles added together equals 180.)
5x+9x+6+90=180.
Now let's simplify. We can simplify by adding like terms:
14x+96=180
Now we just need to do simple algebra. First we'd subtract the 96 from both sides:
14x+96=180
-96 -96
14x = 84
Now we just need to divide 14 from both sides to separate the 14 from the x.
[tex]\frac{14x}{14}[/tex] = [tex]\frac{84}{14}[/tex]
x = 6
Now that we know what x equals, we just need to fill it into the equations which shouldn't be too hard. :)
Extra hint: to check your answer just add all three angles together and if you get 180 your answer is correct. :)
HOPE THIS HELPS!! <3 :D
El equipo de béisbol de los Gatos Salvajes de Ludlow, un equipo de las ligas menores de la organización de los Indios de Cleveland, juega 70% de sus partidos por la noche y 30% de día. El equipo gana 50% de los juegos nocturnos y 90% de los diurnos. De acuerdo con el periódico de hoy, ganaron el día de ayer. ¿Cuál es la probabilidad de que el partido se haya jugado de noche?
Answer:
0.5645
Step-by-step explanation:
De la pregunta anterior, se nos dan los siguientes valores para el equipo de Ludlow
Probabilidad de jugar de noche = 70% = 0.7
Probabilidad de ganar en la noche = 50% = 0.5
Probabilidad de jugar durante el día = 30% = 0.3
Probabilidad de ganar durante el día = 90% = 0.9
Probabilidad de que cuando ganaron ayer, el juego se jugó por la noche =
(Probabilidad de jugar de noche × Probabilidad de ganar de noche) ÷ [(Probabilidad de jugar de noche × Probabilidad de ganar de noche) + (Probabilidad de jugar de día × Probabilidad de ganar de día)]
Probabilidad de que cuando ganaron ayer, el juego se jugó de noche = (0.5 × 0.7) ÷ (0.5 × 0.7) + (0.9 × 0.3)
= 0.35 ÷ 0.35 + 0.27
= 0.35 ÷ 0.62
= 0.5645
La probabilidad de que el partido se haya jugado de noche = 0.5645
The table compares the daily average temperature in a park (in degrees Celsius) and the number of people who visited the park that day. Can the number of people who visited the park be represented as a function of the daily average temperature?
Answer:
YES, the number of people who visited the park can be represented as a function of the daily average temperature.
Step-by-step explanation:
From the table of values given which defines the number of visitors to the park as a function of daily temperature, the temperature is the domain values (independent variable), while the number of visitors is the range values (dependent variable).
For any relation to be considered a function, as a principle, any given domain value must have exactly one range value. In other words, there must not be two different range values assign to one domain value.
This means, for the relation between temperature and number of visitors to be considered a function, it must not have a domain value that is mapped to more than one range value.
Examining the table given, if we map each domain value to the range value, we will find out that there are only 1 exact range value for a domain value.
Therefore, we can say: YES, the number of people who visited the park can be represented as a function of the daily average temperature.
Answer:
yes
Step-by-step explanation:
PLS HELP ME !!! A community garden is divided into 10 equal parts. Carrots are planted in 5/10 of the garden and peas are planted in 1/10 of the garden. The rest of the garden is planted with corn. What fraction of the garden is corn? Show a model and solve.
Answer:
The fraction of corn is 4/10 of the garden.
Step-by-step explanation:
5/10 + 1/10 = 6/10
10/10 - 6/10 = 4/10 or 2/5
4) Solve the problem for the compound events.
A bank has a special vault for valuable items. It has 3 dials that operate the combination. The
first dial has the numbers from 1 to 100, the second and third each have the 26 letters of the al-
phabet. In order to open the vault, the bank manager must correctly set each dial. How many
possible combinations are there for this vault?
Answer:
i think its 67600
Step-by-step explanation:
100*26=2600
2600*26=67600
two regular polygons are such that the ratio of the measures of their interior angles is 4:3 and the ratio between their number of sides is 2:1 find the number of sides of each polygon
hey mate, here is ur answer in the attachment!
Triangle K M L is shown. Line L K extends through point J to form exterior angle J K M. Which angle is an adjacent interior angle to ∠JKM? ∠JKL ∠MKL ∠KLM ∠LMK
Answer:
The correct option is;
∠MKL
Step-by-step explanation:
From the construction of the line LKJ to form the exterior angle ∠JKM, we have that the segment MK of triangle KML forms two adjacent angles on JKL which are ∠JKM and ∠MKL, therefore, the adjacent interior angle to angle ∠JKM is angle ∠MKL
PLease find attach The drawing of triangle KML showing the extended point J
Answer:
B) ∠MKL
Step-by-step explanation:
Took the quiz on edge
of the CP of 15 articles equals to the SP of 12 articles, find the gain percent.
an
ple 4:
Question
If the CP of 15 articles equals to the SP of 12 articles, find the gain percent.
Answer:
gain percent = 25%
Step-by-step explanation:
To solve the question given, we will follow the steps below:
gain% = [tex]\frac{s.p - c.p}{c.p}[/tex] × 100%
But from the question;
"CP of 15 articles equals to the SP of 12 articles", this implies that
15 c.p = 12 s.p
s.p = 15c.p / 12
s.p = [tex]\frac{15 c.p}{12}[/tex] = [tex]\frac{5c.p}{4}[/tex]
s.p = [tex]\frac{5c.p}{4}[/tex]
substitute s.p = [tex]\frac{5c.p}{4}[/tex] into the formula
gain% = [tex]\frac{s.p - c.p}{c.p}[/tex] × 100%
=[tex]\frac{\frac{5c.p}{4} - c.p }{c.p}[/tex] × 100%
= [tex]\frac{\frac{5c.p - 4c.p}{4} }{c.p}[/tex] × 100%
= [tex]\frac{c.p}{4}[/tex] ÷ c.p × 100%
= [tex]\frac{c.p}{4}[/tex] × [tex]\frac{1}{c.p}[/tex] × 100%
= [tex]\frac{1}{4}[/tex] × 100%
= 25 %
What is the area of the trapezoid shown below?
Answer: 78 units²
Step-by-step explanation:
Use Pythagorean Theorem to find the base of the triangle:
x² + 12² = 15²
x² + 144 = 225
x² = 81
x = 9
Now, separate the figure into two shapes --> triangle and rectangle.
[tex]A_{\triangle}=\dfrac{base\times height}{2}=\dfrac{9\times 12}{2}=54\\\\A_{\square}=length \times width = 12 \times 2 =24\\\\A_{trapezoid}=A_{\triangle}+A_{\square}=54+24=\large\boxed{78}[/tex]
You can also use the trapezoid rule:
[tex]A=\dfrac{b_1+b_2}{2}\cdot h\\\\\\.\quad = \dfrac{(9+2)+(2)}{2}\cdot 12\\\\\\.\quad = \dfrac{13}{2}\cdot 12\\\\\\.\quad =13\cdot 6\\\\\\.\quad = \large\boxed{78}[/tex]
According to the graph, what is the value of the constant in the equation
below?
A. 10
B. 20
C. 100
D. 4
Answer:
C. 100
Step-by-step explanation:
You can rearrange the equation to say ...
(Height)(Width) = Constant
Multiply any of the coordinate values shown, and you will see the constant is 100.
4×25 = 5×20 = 10×10 = 20×5 = 100
The constant is 100.
WILL GIVE BRAINLEST ANSWER IF DONE IN 24 HOURS Find the fourth roots of 256(cos 240° + i sin 240°).
Answer:
Hello There!
`~~~~~~~~~~~~~~~~~~~~`
4th root of 256 is 4, and 240/4 = 60, and 360/4 = 90, so the 4 roots are
4(cos 60 + i sin 60)
4(cos 150 + i sin 150)
4(cos 240 + i sin 240)
4(cos 330 + i sin 330)
Hope this helped you. Brainliest would be nice!
What is the equation of the line that passes through the point (8,-8) and has a
slope of - 2?
Answer:
y = -2x + 8
Step-by-step explanation:
y = mx + b
-8 = -2(8) + b
-8 = -16 + b
8 = b
y = -2x + 8
oof i read the question and done goofed frick my add
What the correct answer now
Answer:
388.6 yd²
Step-by-step explanation:
the missing angle in triangle is 180 - 32 - 38 = 110
Law of sines: 31/sin 38 = VT/sin 32
VT = 26.68
area = 1/2ab sinC
A = 1/2 (31)(26.68) sin 110
388.6 yd²
Miguel can walk at a steady pace of 3 mph. What distance will he go if he walks for 2 hr.? A. 4 mi. B. 6 mi. C. 9 mi. D. 12 mi.
Answer:
6 miles.
Step-by-step explanation:
Since Miguel is walking 3 miles per hour, 3 times 2 is equal to 6.
Hope that Helped!
Answer:
6mi
Step-by-step explanation:
1hr = 3mph
So , 2hr = 2 × 3mph =6 mi
Hope this helps and pls make as brianliest :)
A rectangular piece of wood is 12 centimeters longer than it is wide. A strip 1 centimeter wide is cut off all around. This decreases the area by 120 square centimeters. What were the original dimensions?
Answer:
Length 37 cm, width 25 cm.
Step-by-step explanation:
Let the original dimensions be length x and width x - 12 cms.
The new dimensions will be length (x - 2) and width (x - 12 - 2) = x-14 cm.
So , from the areas, we have:
x(x - 12) - (x - 2)(x - 14) = 120
x^2 - 12x - (x^2 - 16x + 28) = 120
-12x + 16x - 28 = 120
4x = 148
x = 37 cms
So the length was 37 cm and the width was 37-12 = 25 cm.