Answers
Answer:
The correct answer is not shown in your picture. You must get a = 60.
Step-by-step explanation:
(1/2)a + (2/3)b = 50
b = 30
(1/2)a + (2/3)(30) = 50
(1/2)a + 20 = 50
(1/2)a + 20 - 20 = 50 - 20
(1/2)a = 30
2 * (1/2)a = 2 * 30
a = 60
The correct answer is not shown in your picture. You must get a = 60.
Related Questions
x = 4y + 3, 2x + y = -3
System of Equations
Answers
Answer:
(- 1, - 1 )
Step-by-step explanation:
Given the 2 equations
x = 4y + 3 → (1)
2x + y = - 3 → (2)
Substitute x = 4y + 3 into (2)
2(4y + 3) + y = - 3 ← distribute parenthesis and simplify left side
8y + 6 + y = - 3
9y + 6 = - 3 ( subtract 6 from both sides )
9y = - 9 ( divide both sides by 9 )
y = - 1
Substitute y = - 1 into (1) for corresponding value of x
x = 4(- 1) + 3 = - 4 + 3 = - 1
solution is (- 1, - 1 )
can someone answer plssss gives 100 pints i think bc I picked 100
Answers
[tex]1. \frac{20}{100} [/tex]
[tex]2. \frac{1}{5} [/tex]
Explanation:
There are a few ways to do this. One way is to notice that the jump from 5 to 100 is "times 20" (go from right to left across the bottom denominators).
So we must do the same "times 20" type of jump when going across the numerators. If x is the numerator for the right hand side, then we go from x to 20. That must mean x = 1
Put another way, we could have these steps
20/100 = x/5
20*5 = 100*x ... cross multiplication
100 = 100x
100x = 100
x = 100/100 .... dividing both sides by 100
x = 1
We see that the fraction 20/100 reduces fully to 1/5
To go from 1/5 to 20/100, we multiply both parts by 20 (divide both parts by 20 to go in reverse).
Because psychologists generally use college students as research participants, the research does NOT involve Group of answer choices random sampling. convenience sampling. confounds. random assignment.
Answers
Answer: random sampling
Step-by-step explanation:
Because psychologists generally use college students as research participants, the research does not involve random sampling.
Random sampling is when each sample has an equal chance of being selected. Since the psychologists are targeting a particular set of students, the random sampling might not be applicable in this case.
The price of a radio is marked as rs 7500 if shopkeeper allows 20 % Discount and adds 13 % VAT . how much customer pay for radio
Answers
Answer:
a) A shopkeeper marked the price of an article a certain percentage above the cost price and he allowed 16% discount to make 5% profit. If a customer paid Rs 9.492 with 13% VAT to buy the article, by what percent is the marked price above the cost of the price article? (I hope this helps)
The owner of a house worth $72,000 pays $2,000 in taxes. At this rate, how much will
the taxes be on a house worth $54,000
Answers
Answer:
I think 1500 but u may need some else to be sure
find the length of the line segment whose endpoints are (-5,6) and (6,6)
Answers
Answer: 11 units
Step-by-step explanation:
Use the distance formula: [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }[/tex]
[tex](x_{1}, y_{1})=(-5, 6)\\(x_{2}, y_{2})=(6, 6)\\\\\sqrt{(6-(-5)^{2}+(6-6)^{2}} =\sqrt{(11)^{2}+(0)^{2}} =\sqrt{121+0}=\sqrt{121}=11[/tex]
The length of the line is 11 units.
What is distance?The distance between two points is the length of the line joining the two points.
Formula: distance= √(x_2-x_1)²+(y_2-y_1)²
Given that, endpoints are (-5,6) and (6,6) of the line segment.
The length= √(6+5)²-(6-6)²
=11 units
To learn more on Distance click:
https://brainly.com/question/15172156
#SPJ2
Which choice is equivalent to the product below for acceptable values of X?
Vx+2 • Vx-2
Answers
Answer:
The answer is D.
Step-by-step explanation:
using quadratic equation:
help me solve it
[tex]10x - \frac{1}{x } = 3[/tex]
Answers
Answer:
[tex]10x - \frac{1}{x} = 3 \\ 10x = 3 + \frac{1}{x} \\ 10x = \frac{3x + 1}{x} \\ 10x \times x = 3x + 1 \\ 10 {x}^{2} = 3x + 1 \\ 10 {x}^{2} - 3x - 1 = 0 \\ 10 {x}^{2} - 5x + 2x - 1 = 0 \\ 5x(2x - 1) + 1(2x - 1) = 0 \\ (5x + 1)(2x - 1) = 0 \\ \\ 5x + 1 = 0 \\ 5x = - 1 \\ x = \frac{ - 1}{5} \\ \\ 2x - 1 = 0 \\ 2x = 1 \\ x = \frac{1}{2} [/tex]
hope this helps you.
Have a nice day!
What is the value of the following function when x = 0?
у = -5
y = -2
y = -1
y = 0
Answers
Answer:
y = - 2
Step-by-step explanation:
x = 0 lies on the y- axis
The only point on the y- axis where the function crosses is y = - 2
Then when x = 0, y = - 2
Find the midpoint of the line segment with end coordinates of:
(
−
2
,
−
4
)
and
(
−
1
,
−
5
)
Give coordinates as decimals where appropriate
Answers
Answer:
Step-by-step explanation:
The Midpoint formula is
[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex] where the x's and y's come from the coordinates of the endpoints. Filling in:
[tex]M=(\frac{-2+(-1)}{2},\frac{-4+(-5)}{2})=(\frac{-3}{2},\frac{-9}{2})=(-1.5,-4.5)[/tex]
The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius r?
options are on the picture:)
Answers
Answer:-
The option B is the right answer.
Solution:-
[tex] \sf h = 2d = 2 \: • \: 2r = 4r[/tex]
[tex] \sf = \frac{1}{3} \pi {r}^{2} h[/tex]
[tex] \sf = \frac{1}{3} \pi {r}^{2} \: • \: 4r[/tex]
[tex] \sf = \frac{4}{3} \pi {r}^{3} \: \green✓ [/tex]
Apparently I'm supposed to do one at a time so here we go again
Answers
B) 209.7 miles
C) 2 hours and 45 minutes
is 4393 is divisible by which number
Answers
Answer:
4393 is divisible by 1 ,23 and 191
Answer:
the answer is 23
Step-by-step explanation:
Write an equation for a quadratic function in vertex form with
Vertex (-1, 6) that passes through the point (-3,4).
Answers
Answer:
[tex]\displaystyle f(x)=-\frac{1}{2}(x+1)^2+6[/tex]
Step-by-step explanation:
We want to write the equation for a quadratic function in vertex form with vertex at (-1, 6) that passes through the point (-3, 4).
Vertex form is given by:
[tex]\displaystyle f(x)=a(x-h)^2+k[/tex]
Where (h, k) is the vertex and a is the leading coefficient.
Since our vertex is at (-1, 6), h = -1 and k = 6. Substitute:
[tex]f(x)=a(x-(-1))^2+(6)[/tex]
Simplify:
[tex]f(x)=a(x+1)^2+6[/tex]
Next, since the quadratic passes through the point (-3, 4), f(x) = 4 when x = -3. Substitute:
[tex](4)=a(-3+1)^2+6[/tex]
Solve for a. Simplify:
[tex]-2=a(-2)^2[/tex]
Hence:
[tex]\displaystyle -2=4a\Rightarrow a=-\frac{1}{2}[/tex]
Therefore, our function in vertex form is:
[tex]\displaystyle f(x)=-\frac{1}{2}(x+1)^2+6[/tex]
On the last math test in Kenzie’s class, 17 out of 25 students scored an 80 or higher. Which percent is closest to the experimental probability that a student selected at random will score an 80 or higher on the next test?
Answers
Answer
There is a 68 percent that a student selected a random will score an 80 or higher on the next test.
Explanation
You just need to find the percentage of 17 out of 25, or 17/25.
You can do this by dividing 17 by 25.
17/25 equals 0.68, or 68 percent.
The rate (In mg carbon/m3/h) at which photosynthesis takes place for a species of phytoplankton is modeled by the function 110I 12 +1+ 9 where I is the light intensity (measured in thousands of foot-candles). For what light intensity is P a maximum?
Answers
Answer:
P is maximum at I = 2
Step-by-step explanation:
Here is the complete question
The rate (in mg carbon/m³/h) at which photosynthesis takes place for a species of phytoplankton is modeled by the function P = 100I/(I² + I + 4) where I is the light intensity (measured in thousands of foot candles). For what light intensity P is a maximum?
To find the value of I at which P is maximum, we differentiate P with respect to I and equate it to zero.
So, dP/dI = d[100I/(I² + I + 4)]/dI
= [(I² + I + 4)d(100I)/dI - 100Id(I² + I + 4)/dI]/(I² + I + 4)²
= [(I² + I + 4)100 - 100I(2I + 1)]/(I² + I + 4)²
= [100I² + 100I + 400 - 200I² - 100I]/(I² + I + 4)²
= [-100I² + 400]/(I² + I + 4)²
= -100[I² - 4]/(I² + I + 4)²
Since dP/dI = 0, -100[I² - 4]/(I² + I + 4)² = 0 ⇒ I² - 4 = 0 ⇒ I² = 4 ⇒ I = ±√4
I = ±2
Since I cannot be negative, we ignore the minus sign
To determine if this is a maximum point, we differentiate dP/dI. So,
d(dP/dI)/dI = d²P/dI² = d[-100[I² - 4]/(I² + I + 4)²]/dI
= [(I² + I + 4)²d(-100[I² - 4])/dI - (-100[I² - 4])d(I² + I + 4)²/dt]/[(I² + I + 4)²]²
= [(I² + I + 4)²(-200I) + 100[I² - 4]) × (2I + 1) × 2(I² + I + 4)]/(I² + I + 4)⁴
= [-200I(I² + I + 4)² + 200[I² - 4])(2I + 1)(I² + I + 4)]/(I² + I + 4)⁴
= [-200(I² + I + 4)[I(I² + I + 4) - [I² - 4])(2I + 1)]]/(I² + I + 4)⁴
= [-200(I² + I + 4)[I³ + I² + 4I - I² + 4])(2I + 1)]]/(I² + I + 4)⁴
= [-200(I² + I + 4)[I³ + 4I + 8])(2I + 1)]]/(I² + I + 4)⁴
Substituting I = 2 into d²P/dI², we have
= [-200(2² + 2 + 4)[2³ + 4(2) + 8])(2(2) + 1)]]/(2² + 2 + 4)⁴
= [-200(4 + 2 + 4)[8 + 8 + 8])(4 + 1)]]/(4 + 2 + 4)⁴
= [-200(10)[24](5)]]/(10)⁴
= -240000/10⁴
= -24
Since d²P/dI² = -24 < 0 at I = 2, this shows that it I = 2 is a maximum point.
So, P is maximum at I = 2
Tahmar knows the formula for simple interest is I = Prt, where I represents the simple interest on an amount of money, P, for t years at r rate. She transforms the equation to isolate P : P = P : P equals Start Fraction I Over r t End Fraction.. Using this formula, what is the amount of money, P, that will generate $20 at a 5% interest rate over 5 years?
Answers
Answer:
P = $80
Step-by-step explanation:
I = P*r*t
P = I/rt
Where,
simple interest, I = $20
Interest rate, r = 5%
Time, t = 5 years
P = I / rt
= 20 / 5% * 5
= 20 / 0.05 * 5
= 20 / 0.25
= 80
P = $80
need help w question in this pic thanks!!
Answers
Given:
A figure of a circle.
To find:
The value of x.
Solution:
First label the given figure as shown below.
In triangle ABO,
[tex]OA=OB[/tex] (Radii of same circle)
[tex]\Delta ABO[/tex] is an isosceles triangle. (By the definition of isosceles triangle)
[tex]\angle OAB\cong \angle OBA[/tex] (Base angles of an isosceles triangle)
[tex]m\angle OAB=m\angle OBA[/tex]
[tex]42^\circ=m\angle OBA[/tex]
In triangle ABO,
[tex]m\angle AOB+m\angle OAB+m\angle OBA=180^\circ[/tex] (Angle sum property)
[tex]m\angle AOB+42^\circ+42^\circ=180^\circ[/tex]
[tex]m\angle AOB=180^\circ-42^\circ-42^\circ[/tex]
[tex]m\angle AOB=96^\circ[/tex]
Now,
[tex]m\angle AOB+m\angle BOC=180^\circ[/tex] (Linear pair)
[tex]96^\circ+x=180^\circ[/tex]
[tex]x=180^\circ-96^\circ[/tex]
[tex]x=84^\circ[/tex]
Therefore, the value of x is 84 degrees.
HELP ME ASAP NO LINKS
Which student's expression results in a quotient of 12.5?
KWAN
VERA
16.25 : 1.3
- 11.25 = (-9)
Mark only one oval.
0000
a. Kwan's only
b. Vera's only
c. Both Kwan and Vera's
d. Neither Kwan nor Vera's
Answers
Answer:
I wanna say its B. Vera's only
im really behind in math what do i do im supposed to be in 8th going into 9th but in6th and still dont understand 6th
Answers
Answer:
Try harder at what you do. Talk to your teacher. Go to online study groups. Give me an example of a question and I will help you more.
A certain jet can reach an altitude of 8000 ft while flying 16000 ft through the air. what is the angle of the elevation that the plane is flying? Round to the nearest degree.
Answers
Answer:
27 degrees
Step-by-step explanation:
First, we can draw this out. Since the altitude is 8000, we can make that the height, and it goes 16000 feet through the air, that can be the length. I have drawn this out, as shown in the image. Note that when drawing, because the airplane is going up and forward, that path should represent the hypotenuse. The angle of elevation is the angle connecting the length and the path, as shown by the angle x in the picture.
We know than tan(x) = opposite/adjacent, so tan(x) here = 8000/16000 = 1/2. Then, arctan(1/2) =x = 27 degrees
find k so that x+2 is a factor of x^3 - kx^2 + 2x + 7k
Answers
Answer:
k = 4
Step-by-step explanation:
If (x + 2) is a factor then f(- 2) = 0
f(x) = x³ - kx² + 2x + 7k , then
f(- 2) = (- 2)³ - k(- 2)² + 2(- 2) + 7k = 0
⇒ - 8 - k(4) - 4 + 7k = 0
⇒ - 8 - 4k - 4 + 7k = 0
⇒ 3k - 12 = 0 ( add 12 to both sides )
⇒ 3k = 12 (divide both sides by 3 )
⇒ k = 4
Answer:
k = 4
Step-by-step explanation:
If x + 2 is a factor of x³ - kx² + 2x + 7k then
the value of x = -2
Solve for k
f ( x ) = x³ - kx² + 2x + 7kplug -2 as x in the expression.
f ( -2) = ( -2)³ - k ( -2)² + 2 ( -2 ) + 7 k = 0expand the exponents
= -8 -4k -4 + 7k = 0combine like terms
= -8 -4 + -4k + 7k = 0= -12 + 3k = 0add 12 to both side
-12 + 12 + 3k = 123k = 12divide each side by 3
3k / 3 = 12/3k = 4Tell whether each probability of the event happening is likely or unlikely to happen. Write L if it is likely to happen and U if unlikely to happen on the space before each number.
__ 1. 2:3
__ 2. 4:15
__ 3. 3/10
__ 4. 13/21
__ 5. 6/16
__ 6. 8:11
__ 7. 9:20
__ 8. 11:25
__ 9. 5/16
__ 10. 7/12
__ 11. 6:13
__ 12. 4:9
__ 13. 2:5
__ 14. 19/45
__ 15. 12/25
Please make it quick
Answers
Answer:
1.likely. 11.likely
2. likely. 12.likely
3. likely. 13.likely
4. unlikely 14. unlikely
5. likely. 15. likely
6. likely
7. likely
8. likely
9. likely
10. likely
Step-by-step explanation:
im correct if I'm rwong
Una persona va a solicitar un prestamo en el banco de 35,000 pesos, con una tasa de interes del 3% va a pagar en 5 años cual sera el interes que pagara la persona?
Answers
Respuesta:
5250
Explicación paso a paso:
Dado que :
Importe del préstamo, principal, p = 35000
Tasa de interés, r = 3% = 0.03
Tiempo, t = 5 años
Usando la fórmula de interés simple:
Interés = principal * tasa * tiempo
Interés = 35000 * 0.03 * 5
Intereses = 5250 pesos
please answer asap and dont get it wrong T0T
Answers
Step-by-step explanation:
answer what ?
all we can see is a grid of coordinates with a functional graph drawn into it.
and we know this function is called y=h(x).
that is it.
what answer is needed ? there is no question visible.
1.Una granja tiene gallinas y vacas. En total hay 58 cabezas y 168 patas. ¿Cuántos gallinas y cuantas vacas hay?
Answers
Answer:
no c
Step-by-step explanation:
NEED HELPPPP RNNNNNNNN
Answers
x+12-5x=3 solve from there it easy
What should be done so that the expression will have a value of 20?
8 + 4 - 22 x 3
Answers
Answer:
34 should be added to it to make it 20
What is the answer 1/3 of 12 = 1/4
Answers
Step-by-step explanation:
1/3*12=1/4
1/4=1/4
=1/4÷1/4
=0 answer
Mr. Austin decided to make a healthy snack for the 20 students in his class. He gave each student a dish of yogurt and divided 6 cups of strawberries equally among the dishes.
How many cups of strawberries did each student get in their yogurt?
Write your answer as a proper fraction or mixed number.
Answers
Answer:
3/10 of a cup
Step-by-step explanation:
Find how many cups of strawberries each student got by dividing 6 by 20:
= 6/20
Simplify this by dividing each number by 2:
= 3/10
So, each student got 3/10 of a cup of strawberries
