Answer:
8
Step-by-step explanation:
12+4=16
16 divided by 2= 8
Ross has $750 in a bank account that earns 9% in annual interest. Select an equation that represents this scenario.
PLS HELP
What is the LCM of 4 and 18
Answer:
36
Explanation:
Multiples of 4 are:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64,...
Multiples of 18 are:
18, 36, 54, 72, 90, 108, 126, 144,...
The least common multiple of 4 and 18 is 36.
56. Thermometer A reads xº.
Thermometer B reads 2° below the
reading on thermometer A.
Thermometers C and D each read 4°
less than twice the reading on
thermometer B. What is the average
temperature, in degrees, of the 4
thermometers?
E. x - 4
2
F. x - 4
G. 3x 9
445
H. 3x - 9
What is the answer
All the options are incorrect. the required average is (3x-9)/2.
Thermometer A reads xº.
Thermometer B reads 2° below the reading on thermometer A = x-2
Thermometers C and D each read 4° less than twice the reading on thermometer = 2(x-2)-4
Average of the values is the ratio of total sum of values to the number of values.
As per question,
A=x
B = x-2
C.D = 2(x-2)-4= 2x-8
Average = A + B + C + D /4
= x+x-2+2x-8+2x-8/4
= 6x-18/4
= 3x-9/2
Thus, the required average of temperature = 3x-9/2.
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If 5(x-6y) = 50y,what is the value of x in terms of y? PLS EXPLAIn
E. 16y
F. 15y
G. 11 2/5y
H.11y
EXPLAIN CORRECT ANSWER AND EXPLANATION GETS BRAINIEST
Answer:
E. 16y
Step-by-step explanation:
Given equation:
5(x - 6y) = 50y
Expand the brackets using
Distributive Property for subtraction: a(b - c) = ab - ac
⇒ 5 · x - 5 · 6y = 50y
⇒ 5x - 30y = 50y
Add 30y to both sides:
⇒ 5x - 30y + 30y = 50y + 30y
⇒ 5x = 80y
Divide both sides by 5:
⇒ 5x ÷ 5 = 80y ÷ 5
⇒ x = 16y
Julio es un alumno que faltó a las clases por ayudar a su familia a elaborar y vender quesos. Decidió sacar fotocopias al cuaderno de su compañero. Si cada fotocopia vale S/ 0.30 y debe calcular cuánto dinero necesita para pagar las fotocopias. Identifica cada variable, expresa como función, grafica y responde: ¿Cuánto pagará por 29 copias?
Es urgente por favor
Aplicando el concepto de precio unitario, concluimos que Julio debe pagar 8.70 soles peruanos por la producción de 29 fotocopias de los apuntes de un compañero.
¿Cuánto dinero debe pagar Julio por las fotocopias?
En esta situación, Julio debe pagar por 29 fotocopias de los apuntes de un compañero suyo. El monto a pagar es el producto del número de copias y el coste unitario de cada fotocopia, es decir:
x = (0.30 PEN) · (29)
x = 8.70 PEN
Aplicando el concepto de precio unitario, concluimos que Julio debe pagar 8.70 soles peruanos por la producción de 29 fotocopias de los apuntes de un compañero.
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evaluate if y=4 and z= -2 7y+z=?
Answer:
26
Step-by-step explanation:
7(4)+-2
28-2=26
Step-by-step explanation:
y = 4 and z = -2
[tex] = 7y + z[/tex]
[tex] = 7 \times 4 + ( - 2)[/tex]
[tex] = 28 - 2[/tex]
[tex] = 26...[/tex]
What is cos 60°?
1
.06
2
30⁰
In each part (a)-(d) below, some additional assumptions about the
picture are given. In each problem, determine whether the given
assumptions are enough to prove that the two triangles are similar; and
if so, what the correct correspondence of vertices is. If the two triangles
must be similar, prove this result by describing a sequence of similarity
transformations that maps one triangle to the other. If not, explain why
not.
a. The lengths AX and XD satisfy the equation 2AX = 3XD.
AX
b. The lengths AX, BX, CX, and DX satisfy the equation A
c. Lines AB and CD are parallel.
d. Angle XAB is congruent to angle XCD.
=
DX
CX
In the triangle, the fact that wee are given 2AX = 3XD isn't enough to prove similarity.
How to explain the triangle?a. In the question, we are given 2AX = 3XD. An arbitrary triangle AXB can be drawn where one extends AX and choose a point D on the extended line in order for 2AX = 3XD. Also, extend BX and choose a point C on the line so that 2BX = XC. Even though they both satisfy the condition, they're not similar.
b. We are given that AX/BX = DX/CX. When this is rearranged, we'll have AX/DX = BX/CX. In this case, let AX/DX = k. DX and AX will align upon rotation of 180°. The triangle can then be dilated by a factor of k. This brings about the mapping of triangle DXC to AXB. Therefore, the original triangle DXC is similar to AXB.
c. Lines AB and CD are parallel. Here, the dilation moves line CD onto line AB. Here, since the dilation moves D to a point on ray XA, D must move to A. Therefore, the rotation of triangle DXC is similar to AXB. Therefore, DXC is similar to AXB.
d. Here, angle XAB is congruent to angle XCD. This shows similarity and in this case, XCD is similar to XAB.
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A map has the scale 1/3inch = 8 miles. If city a and city b are 12 inches apart on my map then how far apart are the city’s in real life
A researcher surveyed 67 business majors
Answer:
Whats the question then?
Step-by-step explanation:
100 cubed as a power of 10
Answer:
100
Step-by-step explanation:
10^2 is 100 therefore it is 100
6. If x and y are positive integers, and
3x + 2y = 21, what is the sum of all
possible values of x?
An equation is formed of two equal expressions. The sum of all possible values of x is 16.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
3x + 2y = 21
3x = 21 - 2y
x = (21-2y)/3
Since the value of x is needed to be positive, the value of 2y must not exceed 21. Also, the value of (21-2y) must be a multiple of two.
Now, the values of y that will satisfy the given condition in the equation are 0, 3, 6, and 9.
Further, the sum of the possible values of x are,
Sum = 7 + 5 + 3 + 1 = 16
Hence, the sum of all possible values of x is 16.
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Solve the triangle. Round your answers to the nearest tenth
What are the exact steps to solve for the x-intercepts of f(x)= −4x2 + 4x + 8? What about −9 = x2 + 6x? Please explain thoroughly
Answer:
x-intercepts: (-1, 0) and (2, 0)
x-intercept: (-3, 0)
Step-by-step explanation:
Given quadratic function:
[tex]f(x)=-4x^2+4x+8[/tex]
The x-intercepts of a quadratic function are the points at which the curve crosses the x-axis ⇒ when y = 0
Therefore, to find the x-intercepts of the given function, set the function to zero:
[tex]\implies -4x^2+4x+8=0[/tex]
Factor out -4:
[tex]\implies -4(x^2-x-2)=0[/tex]
Divide both sides by -4
[tex]\implies x^2-x-2=0[/tex]
Rewrite the middle term as -2x + x:
[tex]\implies x^2-2x+x-2=0[/tex]
Factor the first two terms and the last two terms separately:
[tex]\implies x(x-2)+1(x-2)=0[/tex]
Factor out the common term (x - 2):
[tex]\implies (x+1)(x-2)=0[/tex]
Zero Product Property: If a ⋅ b = 0 then either a = 0 or b = 0 (or both).
Using the Zero Product Property, set each factor equal to zero and solve for x (if possible):
[tex]\begin{aligned}(x+1) & = 0 & \quad \textsf{ or } \quad \quad (x-2) & = 0\\\implies x & = -1 & \implies x & = 2\end{aligned}[/tex]
Therefore, the x-intercepts are (-1, 0) and (2, 0).
---------------------------------------------------------------------------------------
Given quadratic equation:
[tex]-9 = x^2 + 6x[/tex]
Add 9 to both sides:
[tex]\implies x^2+6x+9=0[/tex]
Rewrite the middle term as 3x + 3x:
[tex]\implies x^2+3x+3x+9[/tex]
Factor the first two terms and the last two terms separately:
[tex]\implies x(x+3)+3(x+3)=0[/tex]
Factor out the common term (x + 3):
[tex]\implies (x+3)(x+3)=0[/tex]
[tex]\implies (x+3)^2=0[/tex]
Square root both sides:
[tex]\implies (x+3)=0[/tex]
Solve for x:
[tex]\implies x=-3[/tex]
Therefore, the x-intercept is (-3, 0).
As the function has a repeated factor (multiplicity of two), the curve will touch the x-axis at (-3, 0) and bounce off.
The side of a square is x units. Which one of following expressions represents the perimeter?
if the perimeter=s+s+s+s
=x+x+x+x
16 / 4 * (3 - 1)
a) 2
b) 4
c) 8
Hello,
if :
[tex] \frac{16}{4(3 - 1)} = \frac{16}{4 \times 2} = \frac{16}{8} = 2[/tex]
if :
[tex] \frac{16}{4} \times (3 - 1) = 4(3 - 1) = 4 \times 2 = 8[/tex]
Answer:
Hello! The answer is c) 8.
Step-by-step explanation:
To solve this question, we need to follow the order of operations. This can be done through PEMDAS - parentheses, exponents, multiplication, division, addition, and subtraction.
First, we need to solve what's in the parentheses:
[tex]\frac{16}{4} * 2[/tex]
Now we can multiply and we get:
[tex]\frac{32}{4}[/tex]
This can be further simplified by doing 32 ÷ 4 to get 8.
Therefore, the answer is c) 8
236,181 + 150,486
Answer:
236,181+150,486=386,667
Aria paid $75,000 for her house. its property value increased by 2.2% per year. when aria sold her house after eleven years, how much was it worth, to the nearest hundred dollars?a.$133,700b.$95,400c.$95,300d.$93,100 please select the best answer from the choices providedabcd
Answer:
D
Step-by-step explanation:
Converting percent to decimal : 2.2/100 = 0.022
Finding 2.2$ of $75k : 75,000 x 0.022 = $1,650 (also the increase in one year)
Finding how much it was worth after 11 years :
(75,000 x 0.022) x 11 = $18,150 or 1,650 x 11 = $18,150
Now add the product to the regular amount to find out the answer:
75,000 + 18,150 = $93,150 (which is how much it increased after 11 years)
the set of ordered pairs represents a function
(1, 3) (2, 9) (k, 12) (5, 9) (8, 0)
Which of these could be the value of k
Answer:
12
Step-by-step explanation:
because it digit havbeen given ad k
Dan was getting rs. 100 for 5 years at an interest rate of 5%. Find the accumulated value of annuity at the end of 5 years
The future value of the annuity after the end of 5 years is $552.56.
Given that, r =5%= 0.05, 5 years = 5 yearly payments, so n = 5, and P = $100.
What is the annuity formula?The formula to find the annuity formula [tex]FV=\frac{P \times ((1+r)^{n}-1 )}{r}[/tex].
Now, [tex]FV=\frac{100 \times ((1+0.05)^{5}-1 )}{0.05}[/tex]
⇒FV = 100 × 55.256
⇒FV = $552.56
Therefore, the future value of the annuity after the end of 5 years is $552.56.
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A linear function f(x) on a table. How do I find a solution for the value of f(4)?
x | f(x)
3 | -3.5
4 |
5 | 5.5
6 | 10
7 | 14.5
Given a sample variance of 6, what is the approximate sample standard deviation?
The sample standard deviation is 2.45.
What is the sample standard deviation?Standard deviation measures the spread of a dataset around its mean. The variance measures the average degree to which each data point differs from the mean.
The standard deviation is the square root of the variance.
Standard deviation = √6 = 2.45
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PLEASE NEED HELP
2 graphs. Graph A: a dotted line goes from (1, 0) to (1, 0.25), is solid and horizontal to (2, 0.25), is dotted to (2, negative 0.1875), is solid and horizontal to (6, negative 0.1875), and then is dotted to (6, 0). Graph B. A line goes from (negative 5, 0) to (negative 3, 0.25), and then decreases to (3, 0).
Which statement about the graphs is true?
Graph A is a valid density curve because the part of the graph from 2 to 6 is below the horizontal axis.
Graph A is not a valid density curve because the part of the graph from 1 to 2 is above the horizontal axis.
Graph B is not a valid density curve because part of the horizontal axis has negative values.
Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.
Pictures posted below
Answer: Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.
The last statement "Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1." is the correct statement.
A few fundamental principles apply to density curves:
A density curve's area beneath it represents probability.A density curve's area under it equals one.Base x height in a uniform density curve equals one.The likelihood that x = a will never occur.The likelihood that x < a is the same as that of x ≤ a.Following the rules above, we can see from graph B that the curve is above the horizontal axis. That shows that the probabilities are positive which is a necessity. Moreover, the area under the curve must also be 1. That is also satisfied.
Hence, the last statement "Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1." is the correct statement.
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You work as an assistant for a local musical theatre group, the Main Street Theatre Company. The company is putting on a production of Les Misérables this year, and they need your help planning it.
All the roles have now been cast, and the lead actors playing the following parts are gathered around a large circular table for their first read: Jean Valjean, Inspector Javert, Thénardier, Enjolras, Marius, Fantine, adult Cosette, adult Éponine, and Madame Thénardier. It is your job to seat these 9 actors, the 3 producers, and the director around the table.
If the 9 actors must sit together, how many ways are there to seat the 13 people around the table?
8,709,120
362,880
6,227,020,800
259,459,200
There are 8,709,120 ways to arrange the people around the table
How to determine the number of ways?The given parameters are:
People = 13
Actors = 9
If the actors must seat together, then the actors must be grouped as 1.
The 9 actors can be arranged in 9! ways
Now, we have 1 group + 4 individuals.
This equals 5 people (in theory)
The 5 people can be arranged in 5! ways
So, the number of ways is
Ways= 9! * 5!
Evaluate
Ways = 8,709,120
Hence, there are 8,709,120 ways to arrange the people around the table
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What are m and b in the linear equation y = 28x + 8?
Answer:
Step-by-step explanation:
y = mx + b is the formula to figure out your question
Now, the equation ( y = 28x + 8)
Already shows the m and b
m = 28
b = 8
Hope this helps! :)
If not ask me in the comments about your question and I’ll answer
Find the measure of
Answer:
B. 30
Step-by-step explanation:
3x + 2x + x = 180 (angle sum of a triangle is 180)
6x = 180
x = 30
Answer:
B. 30
Step-by-step explanation:
3x + 2x + x = 180
6x = 180
x = 180/6
x = 30
cos 0 = . Find tan 0.
Answer:
b
Step-by-step explanation:
15/8
Solve using the distributive property of whole numbers.
27,345 x 113 x-27,345 x 13
Answer:
2,734,500
Step-by-step explanation:
27,345 × 113 - 27,345 × 13 ← factor out 27,345 from each term
= 27,345(113 - 13)
= 27,345 × 100
= 2,734,500
PLEASE HELP ASAP I NEED TO PASS SUMMER SCHOOL ASAP
ILL MARK BRAINLIEST
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.
x2 + (y – 3)2 = 36
x2 + (y – 5)2 = 6
(x – 4)² + y² = 36
(x + 6)² + y² = 144
x2 + (y + 8)2 = 36
From the given options A and option D are the possible equations will be;
x² + (y – 3)² = 36
or, x² + (y + 8)² = 36
What is Circle?A circle is a round 2-dimensional shape. It is a closed shape with a distance from center to circumference termed as radius 'r' and distance from one point on the circumference to another point passing through center termed as diameter 'd'.
Here, General equation of circle
(x - a)² + (y - b)² = r²
where, (a, b) are the coordinates of center
and r is the radius of circle.
Now, given data; Diameter = 12 units
Radius = 6 units
center lies on y-axis so coordinates will be (0, b)
Equation of given circle
x² + (y - b)² = 6²
x² + (y - b) = 36
where, b may be any value on y-axis.
Thus, from the given options A and option D are the possible equations will be;
x² + (y – 3)² = 36
or, x² + (y + 8)² = 36
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