Solve one fifth times quantity x plus 15 end quantity equals negative 5.

x = −10
x = −40
x = 8
x = 15

The answer will be $1100 invested in each year.

What is simple interest?

A quick and simple way to figure out interest on money is to use the simple interest technique, which adds interest at the same rate for each time cycle and always to the initial principal amount. Any bank where we deposit our funds will pay us interest on our investment. One of the different types of interest charged by banks is simple interest. Now, before exploring the idea of basic curiosity in further detail,

The formula for simple interest is:

S = p*t*r/100

where P is the principal amount of money, R is the interest rate as a decimal, T is the time.

We'll figure out how to solve the two-equation linear system:

We'll set x equal to 8% of the investment and y equal to 5% of the investment.

Equation 1: x + y = 2900 (total invested money)

Equation 2: 0.06x + 0.04y = 138 (total interest of both investments)

25*(0.06x+0.04y = 138)

Equation 3: 1.5x + y = 3450

Eq3-Eq1

0.5x = 550

x = 550/0.5 = 1100

Hence the investment in each year will be $1100.

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Answer:

mAngleB = 67°

Step-by-step explanation:

The angle marked 15x is made by extending one side of the triangle. That is an exterior angle (like, its outside the triangle)

There are two angles inside the triangle that are away from that exterior angle. They are called remote interior angles. They are marked 83° and 6x+7 in this question.

Here's the rule:

If you add up the two remote interior angles it equals the exterior angle.

83° + 6x + 7 = 15x

Subtract 6x.

83 + 7 = 9x

Simplify.

90 = 9x

Divide by 9.

10 = x

Use this to find mAngleB

mAngle B = 6x + 7

= 6(10) + 7

= 60 + 7

= 67

mAngleB = 67°

Step-by-step explanation:

p varies directly with d.

that means there is a constant k, so that

p = kd

to find k we use the one set of numbers we know about

125 = k×2

k = 125/2 = 62.5

now, when the water is 4.5 meters deep :

p = 62.5 × 4.5 = 281.25 pascal

a.  -26 is a solution to the rational inequality false

b. The excluded values of the rational inequality are  and  only - true

Information given in the question

5 / (x - 6) > 3 / (x + 2)

a. The inequality is solved by

5(x + 2) > 3 (x - 6)

5x + 10 > 3x - 18

collecting like terms

5x - 3x > -18 - 10

2x > -28

x > -14

Hence -26 is less than -14 so it is wrong as the solution says greater than -14

b. at x = 6

5 / (x - 6) = 5 / 0 which is infinity

at x = -2

3 / (x + 2) = 3 / 0 which is infinity

These two values are the excluded values

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The graph of the function denotes a straight line which passes through the points (-1 , 0) and (0 , -2) .

The graph of the function denoted as y = -2x - 2 is in the form of a straight line as it can be written as y = mx + c the slope is -2 and y intercept is at (0,-2).

The graph of the line passes through :

At x=0 , y = -2

At x = -1 , y = 0

At x = 2 , y = -6

The line passes through (0,-2) , (-1,0) and (2,-6) .

A straight line is a line with no curves and an infinite length. Any two locations can also be connected by a straight line, but its endpoints must extend into the infinite.

A straight line results from connecting two points A (x1, y1) and B (x2, y2) along the shortest path possible and stretching the endpoints of the line to infinity.

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The an equation in standard form for the line that passes through (5,0) and (0,6) is 5y + 6x - 30 = 0

We need to write an equation in standard form for the line that passes through (5,0) and (0,6)

The formula for equation of line with two points is

y - y₁ = ((y₂ - y₁)/(x₂ - x₁))(x - x₁)

y - 0 = ((6 - 0)/(0 - 5))(x - 5)

y = 6/-5 (x - 5)

-5y = 6(x - 5)

-5y = 6x - 30

5y + 6x - 30 = 0

Therefore, the an equation in standard form for the line that passes through (5,0) and (0,6) is 5y + 6x - 30 = 0

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The expression as the logarithm of a single number or expression is log( x⁵.y/z⁶).

A logarithm is a multiplication-based mathematics notion.

The exponent that will result in a particular value is a logarithm.

An exponent or power with which a base must be increased in order to produce a particular number.

If bˣ = n, then x is the logarithm of n here to base b, which is expressed mathematically as x = logb n. For instance, 2³ = 8; hence, 3 is the base-2 logarithm of 8 or 3 = log₂ 8.

For the stated question;

= 5log x + 2logy - 6logz

Using the addition, division and power property.

log(m x n) = log m + log n

log(m/n) = log m - log n

= log x⁵ + logy² - logz⁶

= log( x⁵ ₓ y²) - logz⁶

= log( x⁵.y/z⁶)

Thus, the expression as the logarithm of a single number or expression is log( x⁵.y/z⁶).

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Answer:

3:8

Step-by-step explanation:

15:40

Work out the same by simplifying which they both go in 5

then doing that you can get 3/8 Or 3:8.

Hope it helps!


Spanish:

Resuelve lo mismo simplificando lo que ambos van en 5

luego haciendo eso puedes obtener 3/8 o 3: 8.

The sum of the triangle angles is 180°.

Hence, The sum of the triangle angles is 180°.

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For mutually exclusive events R₁,R₂ and R₃, the value of P(R₁Q) is 3/55.

Two events are said to be mutually exclusive in probability theory if they cannot happen simultaneously or at the same time. In other terms, occurrences that are mutually exclusive are referred to as discontinuous events. If two occurrences are regarded as separate ones, there is no chance that they will happen at the same moment. Two events are mutually exclusive or disjoint in logic and probability theory if they cannot both occur at the same time. The results of a single coin flip, which can result in either heads or tails but not both, serve as an obvious illustration.

Given,

Events:

P(R₁) = 0.05 P(R₂) = 0.6

For P(R₁ /Q)

P(R₁Q)

mutually exclusive event:

P(Q/R₁)P(R₁)/P(Q/R₁)P(Q₁) + P(Q/R₂)P(R₂) + P(Q/R₃)P(R₃)

(0.6)(0.05)/0.6(0.05) +0.4(0.6) + 0.8(0.35)

0.03/0.03 + 0.77 + 0.28

0.03/0.55

3/55
For mutually exclusive events R₁,R₂ and R₃, the value of P(R₁Q) is 3/55.

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Six pounds is the cost of both shipping companies the same.

An equation is a mathematical statement created by joining two numerical or variable expressions with an equal sign.

An equation is a mathematical statement created by joining two numerical or variable expressions with an equal sign, as in 3x+5=11. A number that may be entered for the variable to produce a true number statement is the answer to an equation.

company A:

shipping fee is  12 and $1.50 per pound

Let p be the variable  for the pounds of the package.

Liner Equation :

shipping fee = [tex]12+ 1.5p[/tex]

For company B :

shipping fee = 15 + p

if the cost of both shipping companies the same then,

12+1.5p = 15+p

ie. P = 6.

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Answer:

$32.4

Step-by-step explanation:

Answer:

24 feet

Step-by-step explanation:

30 : 1.25 = x : 1

x = 30 / 1.25

x = 24

Histogram is the displays would represent the given data. Therefore, option C is the correct answer.

The range is the difference between the largest and smallest numbers. The midrange is the average of the largest and smallest number.

Given that, the data is 77, 78, 81, 62, 63, 65, 81, 92, 93, 89, 91, 78, 66, 75, 78, 80, 91, 93, 95, 93, 91, 88, 76, 89, 91, 96.

The ascending order of given numbers is 62, 63, 65, 66, 75, 76, 77, 78, 78, 78, 80, 81, 81, 88, 89, 89, 91, 91, 91, 91, 92, 93, 93, 93, 95, 96.

Use the class intervals 60-70, 70-80, 80-90, 90-100, to plot the histogram for the given data set.

Hence, Histogram is the displays would represent the given data. Therefore, option C is the correct answer.

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Answer: wheres the question

Step-by-step explanation:

he simplest form of quadratic equation 6y² + 5y - 4  is y = 0.5 or y = −1.33333 or in fraction y = 6 / 12 or y = −16/12.

How to solve a quadratic equation using the Quadratic Formula.

6y² + 5y - 4

using the Quadratic Formula where a = 6, b = 5, and c = -4

y =−b±(√b2−4ac) / (√2a)

y =−5±(√5²−4(6)(−4)) / √(2(6))

y =−5±(√25−(−96)) / √12

y =−5± (√121 / √12

The discriminant b²−4ac>0. So, there are two real roots.

Simplify the radical:

y = (-5 ± 11) /12

y = 6/12  y =16/12

which becomes

y = 0.5

y = −1.33333

Hence, the simplest form of quadratic equation 6y² + 5y - 4  is y = 0.5 or y = −1.33333.

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Answer:

Step-by-step explanation:

[tex]\sf \cfrac{-1-8}{3\left(\cfrac{1}{4}x\right)}=2[/tex]

Simplify:-

Multiply both sides by x:-

Simplify:-

Divide both sides by 2:-

Simplify:-

______________________

Hope this helps!

Have a great day!

There are 132 different ways  this is possible(given situation).

Probability turned into added into arithmetic to are expecting the possibility of an occasion occurring. Probability essentially approach how in all likelihood it's miles that some thing will happen. This is the fundamental principle of possibility and is likewise utilized in possibility distributions to examine feasible consequences of random experiments.

let[tex]$AB, BJ$, and $AJ$[/tex] denote a song that is liked by Amy and Beth (but not Jo), Beth and Jo (but not Amy), and Amy and Jo (but not Beth), respectively. Similarly, let[tex]$A, B, J,$ and $N$[/tex] denote a song that is liked by only Amy, only Beth, only Jo, and none of them, respectively. Since we know that there is at least[tex]$1\: AB, BJ$, and $AJ$[/tex], they must be[tex]$3$[/tex] songs out of the [tex]$4$[/tex] that Amy, Beth, and Jo listened to. The fourth song can be of any type

[tex]$N, A, B, J, AB, BJ$, and $AJ$ (there is no $ABJ$[/tex]

because no song is liked by all three, as stated in the problem.) Therefore, we must find the number of ways to rearrangeand a song [tex]$AB, BJ, AJ$,[/tex]from the se[tex]t $\{N, A, B, J, AB, BJ, AJ\}$.[/tex]

Case 1: Fourth song =[tex]$N, A, B, J$[/tex]

Note that in Case 1, all four of the choices for the fourth song are different from the first three songs.

Number of ways to rearrange =[tex]$(4!)$[/tex] rearrangements for each choice[tex]$*\: 4$ choices = $96$.[/tex]

Case 2: Fourth song =[tex]$AB, BJ, AJ$\\[/tex]

Note that in Case 2 all three of the choices for the fourth song repeat somewhere in the first three songs.

Number of ways to rearrange = [tex]$(4!/2!)$[/tex]rearrangements for each choice [tex]$*\: 3$ choices = $36$.[/tex]

[tex]$96 + 36 = \boxed{\textbf{(B)} \: 132}$.[/tex]

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Answer:

(1,1)

Step-by-step explanation:

we fill in the equation for these points to see if they are on the line

(-3,4)

4=-3(-3)+4

4=-9+4

4=-5

Not on line

2=-3(2)+4

2=-6+4

2=-2

Not on line

1=-3(1)+4

1=-3+4

1=1

On the line

-4=-3(0)+4

-4=4

Not on line

Hopes this helps please mark brainliest

Answer:

36 books

Step-by-step explanation:

21 books / 7 months = 3 books per month

3 books per month × 12 months =

36 books

Answer:

y=(47)xy=(47)x

Rewrite the equation as 47x=y47x=y.47x=y47x=y

Multiply both sides of the equation by 7474.74(47x)=74y74(47x)=74ySimplify both sides of the equation.Tap for more steps...x=7y4

Step-by-step explanation:

confusing bro

Answer:

x = (4/7y) + 13

Step-by-step explanation:

y = 4/7( x -13)

cross multiply

y x 7( x -3) = 4

(x - 3) = 4/7y

x = (4/7y) + 13

There are 120 people in a theatre. 72 are female and 48 are male. 12 females purchase an ice cream and 31 males purchase an ice cream.

What is Frequency Tree?

Frequency trees display the real frequency of certain events. They can display the same data as a two-way table, but frequency trees are more readable since they illustrate the frequency hierarchy. Probability trees depict the likelihood of a series of occurrences.

Solution:

From the question, we can see the there are 120 people in the theatre.

Since, there are 72 females in the theatre we can find the total number of males by 120-72 = 48

Also, the male who purchased Ice Cream were 36 therefore, the males who did not purchased Ice Cream are 48-36 = 12

And, the females who purchased Ice Cream are 41. So, the female who did not purchased Ice Cream are 72 - 41 = 31

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The Venn diagram of the 66 students in the drama group is illustrated below.

Venn Diagram:

Basically, a diagram representing mathematical or logical sets pictorially as circles or closed curves within an enclosing rectangle (the universal set), common elements of the sets being represented by intersections of the circles.

Given,

All 66 students in a drama group take part in at least one of the four activities given below. acting (4) dancing (D) singing (S) stage management (M) Of these 66 students 11 take part in acting, dancing and singing 17 take part in acting and singing 14 take part in dancing and singing 16 take part in acting and dancing 33 take part in singing 37 take part in acting 29 take part in dancing Any student who takes part in stage management does not take part in acting, dancing or singing.

Here we need to show all this information on the Venn diagram, giving the number of students in each subset.

While we looking into the given information,

Total number of students = 66

Here A refers acting, D refers dancing and S refers singing

=> All three activities count = 11

=> Acting and singing = 17

=> Dancing and singing = 14

=> Acting and dancing = 16

=> Singing = 33

=> Acting = 37

=> Dancing = 29

Based on these details we have drawn the following Venn diagram.

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The decimal equivalent for the number of dogs weighing under 20 pounds is repeating 0.4.

Given that four out of nine dogs weigh less than 20 pounds.

We want to find the decimal equivalent for the number of dogs weighing under 20 pounds.

The total number of dogs is 9.

Number of dogs whose weight less than 20 pound is 4.

The decimal equivalent of dogs whose weight is less than 20 pound is 4/9 or 0.444

Hence, the decimal equivalent for the number of dogs weighing under 20 pounds when four out of nine dogs weigh less than 20 pounds is Repeating 0.4.

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The value of x is 25 will make ΔONM similar to ΔSRQ  by the SAS similarity theorem.

Given:

∠ONM is similar to ∠SRQ

From the figure

NM = 10

SR = 20

NO = 8

QR = x

SAS Similarity Theorem:

if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.

Both the triangles are similar by SAS if

NO/NM = SR/QR

substitute the values

8/10 = 20/x

cross multiplication

8x = 200

dividing both sides by 8

x = 25

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0.320 > 0.051

Round it up. 4 and below doesn't round and 5 and above will.

0.320. 0.051

0.320. 0.05

Look at it as 0.32 and 0.05

these would come down to 32% or 5%

as the 3 is in the tenths and the 5 is in the hundredths.

making the 3 in the tenths larger.

Simple as 30 and 5

Answer:

Step-by-step explanation:

use the y=mx+b^2 formula

The three interior angles of a triangle will always have a sum of 180.

Hence, The three interior angles of a triangle will always have a sum of 180.

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The formula for a cubic polynomial function is f(x)=ax³++bx²+cx+d, where a not equal to 0.

f(x) = x³+2x²-16x-32

The formula for a cubic function is f(x) = ax3 + bx2 + cx + d, where a, b, c, and d are all real values and a 0.

A cubic polynomial function has the formula f(x)=ax3++bx2+cx+d, where an is not equal to 0. A cubic polynomial always has three zeros, which could be all the same or all different. The zeros could be real or complex, depending on the function.

If x = -4, -2, or 4 then f(x) = 0

These are the roots, then.

factors include F(x) = [(x+4)(x-4)] = (x+4)(x+2)(x+4) For example, (x+2) f(x) = (x2-16) (x+2) f(x) = x3+2x2-16x-32

A cubic equation might have three real roots, similar to how a quadratic equation could have two. However, a cubic equation always has at least one real root, unlike a quadratic equation, which may not have any real solutions.

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The correct answer among the choices is letter d. From the following choices of ordered pair, (1, 0) is the set solution of the inequality 2x + 6y ≤ 10. Substituting the given pair order make the inequality a true statement.  To counter check answer, substituting the pair order and solving the linear inequality will result a value to support the correct answer.

a. ( 3,1 ) (x ,y)

Substitution

2x + 6y ≤ 10

2(3) + 6(1) ≤ 10

6 + 6 ≤ 10

12  ≤ 10 ( The inequality is False)

This is not the correct answer since value to solve for x and y should result to an equal or lesser value than 10.

b. (2, 2) (x ,y)

Substitution

2x + 6y ≤ 10

2(2) + 6(2) ≤ 10

4 + 12 ≤ 10

16  ≤ 10 ( The inequality is False)

This is not the correct answer since value to solve for x and y should result to an equal or lesser value than 10.

c. (1, 2) (x ,y)

Substitution

2x + 6y ≤ 10

2(1) + 6(2) ≤ 10

2 + 12 ≤ 10

14  ≤ 10 ( The inequality is False)

This is not the correct answer since value to solve for x and y should result to an equal or lesser value than 10.

d. (1, 0) (x ,y)

Substitution

2x + 6y ≤ 10

2(1) + 6(0) ≤ 10

2 + 0 ≤ 10

2 ≤ 10 ( The inequality is True)

The statement states that 2 is lesser than or equal to 10.

Hence we get the required answer.

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Your question was incomplete. Please find the missing content below.

Which of the following ordered pairs is a solution of the inequality 2x + 6y ≤ 10?a. (3, 1) b. (2, 2) c. (1, 2) d. (1, 0)