0.7 is one tenths of

Let's say the unknown number is x

Quotient = is the answer to a multiplication question

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

We have to multiple -5 by x:

_---------------__-------------__-----------____-----------------------------------------

Lastly: we have to minus 1 from -5x

Completing the question and solving the equation, it is found that the number is 20.

--------------------------------

\(\frac{x}{-5} = -\frac{x}{5}\)

\(1 - (-\frac{x}{5}) = 1 + \frac{x}{5}\)

--------------------------------

\(1 + \frac{x}{5} = 5\)

\(\frac{x}{5} = 4\)

\(x = 5 \times 4 = 20\)

Thus, the number is 20.

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Answer:

\(f(7)=125\sqrt{5}\)

Step-by-step explanation:

Given function:

\(f(x)=r^x, \quad r > 0\)

If f(6) = 125, substitute x = 6 into the function and equate it to 125:

\(\implies r^6=125\)

Rewrite 125 as 5³:

\(\implies r^6=5^3\)

Cube root both sides of the equation:

\(\implies \sqrt[3]{r^6}=\sqrt[3]{5^3}\)

\(\textsf{Apply exponent rule} \quad \sqrt[n]{a^b}=a^{\frac{b}{n}}:\)

\(\implies r^{\frac{6}{3}}=5^{\frac{3}{3}}\)

\(\implies r^{2}=5^1\)

\(\implies r^{2}=5\)

Square root both sides of the equation:

\(\implies \sqrt{r^2}=\sqrt{5}\)

\(\implies r=\pm \sqrt{5}\)

As r > 0 then r = √5

Therefore the function is:

\(f(x)=\left(\sqrt{5} \right)^x\)

To calculate f(7), substitute x = 7 into the found function:

\(\implies f(7)=\left(\sqrt{5} \right)^7\)

\(\textsf{Apply exponent rule} \quad \sqrt[n]{a}=a^{\frac{1}{n}}:\)

\(\implies f(7)=(5^{\frac{1}{2}})^7\)

\(\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:\)

\(\implies f(7)=5^{\frac{7}{2}}\)

Rewrite ⁷/₂ as 3 + ¹/₂ :

\(\implies f(7)=5^{\left(3+\frac{1}{2}\right)}\)

\(\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c:\)

\(\implies f(7)=5^3 \cdot 5^{\frac{1}{2}}\)

Simplify:

\(\implies f(7)=125 \sqrt{5}\)

Answer:

x = 24

y = 10

z = 17

Explanation:

It's long to explain, so heres a picture of how solved each. hope this helps!! :)

If in Last week, Colton sold 14 magazine subscriptions and 36 raffle tickets for a fundraiser. This week, he sold 18 magazine subscriptions and 26 raffle tickets. If Colton charged $10.25 for each magazine subscription and $0.50 for each raffle ticket, Then $359 money he earned for the fundraiser over these two weeks

Two or more expressions with an Equal sign is called as Equation

Given,

10.25 for each magazine subscription and $0.50 for each raffle ticket,

M=10.25 and T=0.50

Last week:

14 magazine subscriptions and 36 raffle tickets for a fundraiser.

14M+36T

Now substitute M and T values

14(10.25)+36(0.50)

143.5+18

161.5

Current week:

18 magazine subscriptions and 26 raffle tickets.

18M+26T

Now substitute M and T values

18(10.25)+26(0.50)

184.5+13

197.5

So total money he earned for two weeks is 161.5+197.5

$359

Hence $359 money did he earn for the fundraiser over these two weeks

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Answer:

Step-by-step explanation: 3²+12²=x² simplifies to 9+144=x² so 153=x² or x²=153.

Answer:

CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC

CUS ISOCOLIES IS TWO SIDES THE SAMEE

Step-by-step explanation:

The solution to the linear equation is y = 10.

What is linear equation?

A linear equation is an equation that is written for two different variables. This equation will be a linear combination of these two variables, and a constant can be present.

It is given that

2.8y + 6 + 0.2y = 5y – 14

By grouping the like terms

2.8y + 0.2y - 5y = -6 - 14

Solve the equation by separating the variables

3y - 5y = -6 - 14

-2y = -20

Divide both sides by -2

y = -20/-2

y = 10

Therefore, the solution to the linear equation is y = 10.

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The researcher cannot conclude that the correlation is significant at the .05 level.

The answer to the question that requires the inclusion of the term "150" is shown below: A researcher was interested in the relationship between how far students live from her classroom and how long it takes those students to walk to class.

She randomly selected 20 students and asked them each (1) how many feet away from this class do you live (measured as distance from entrance of class building to entrance of student’s home) and (2) how long does it take you to walk to class (measured in minutes)? The researcher computed a correlation of r = -.45.

The null hypothesis is stated as follows:H0: ρ = 0 (there is no correlation between how far students live from the classroom and how long it takes those students to walk to class)

The alternative hypothesis is stated as follows: Ha: ρ ≠ 0 (there is a correlation between how far students live from the classroom and how long it takes those students to walk to class)Degrees of freedom (df) = n - 2, where n is the sample size of 20 students.

Assuming α = .05, the critical values of r for a two-tailed test would be ± .444.

Therefore, if the calculated correlation coefficient is greater than the critical value of r, reject the null hypothesis. If the calculated correlation coefficient is less than the negative critical value of r, reject the null hypothesis. Otherwise, fail to reject the null hypothesis.

The calculated correlation coefficient of r = -.45 falls between the critical values of ± .444. Therefore, we fail to reject the null hypothesis.

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a) The solution to the system of equations using Cramer's rule is x = -70/255, y = -10/255, z = -10/255, w = 20/255. b) The solution to the system of equations using Gauss-Jordan elimination is x = -14/51, y = 2/17, z = 2/17, w = 20/51. c) Gauss-Jordan elimination involves fewer calculations.

a) To solve the system of equations using Cramer's rule, we need to calculate the determinants

\($D=\left|\begin{array}{cccc}4 & 1 & 1 & 1 \\ 3 & 7 & -1 & 1 \\ 7 & 3 & -5 & 8 \\ 1 & 1 & 1 & 2\end{array}\right|$\)

\($D_x=\left|\begin{array}{cccc}6 & 1 & 1 & 1 \\ 1 & 7 & -1 & 1 \\ -3 & 3 & -5 & 8 \\ 3 & 1 & 1 & 2\end{array}\right|$\)

\($D_y=\left|\begin{array}{cccc}4 & 6 & 1 & 1 \\ 3 & 1 & -1 & 1 \\ 7 & -3 & -5 & 8 \\ 1 & 3 & 1 & 2\end{array}\right|$\)

\($D_z=\left|\begin{array}{cccc}4 & 1 & 6 & 1 \\ 3 & 7 & 1 & 1 \\ 7 & 3 & -3 & 8 \\ 1 & 1 & 3 & 2\end{array}\right|$\)

\($D_w=\left|\begin{array}{cccc}4 & 1 & 1 & 6 \\ 3 & 7 & -1 & 1 \\ 7 & 3 & -5 & -3 \\ 1 & 1 & 1 & 3\end{array}\right|$\)

Now, let's calculate these determinants

\(D=255,D_{x}=-70,D_{y}=-10,D_{z}=-10,D_{w}=20\)

To solve for each variable, we can use the formulas

\(x=\frac{D_{x} }{D}=-\frac{70}{255}\)

\(y=\frac{D_{y} }{D}=-\frac{10}{255}\)

\(z=\frac{D_{z} }{D}=-\frac{10}{255}\)

\(w=\frac{D_{w} }{D}=\frac{20}{255}\)

b) Solve by Gauss-Jordan elimination

To solve the system of equations using Gauss-Jordan elimination, we can write the augmented matrix and perform row operations

\($\left[\begin{array}{cccc|c}4 & 1 & 1 & 1 & 6 \\ 3 & 7 & -1 & 1 & 1 \\ 7 & 3 & -5 & 8 & -3 \\ 1 & 1 & 1 & 2 & 3\end{array}\right]$\)

Performing row operations, we can transform the matrix into row-echelon form

\($\left[\begin{array}{cccc|c}1 & 0 & 0 & 0 & -\frac{14}{51} \\ 0 & 1 & 0 & 0 & \frac{2}{17} \\ 0 & 0 & 1 & 0 & \frac{2}{17} \\ 0 & 0 & 0 & 1 & \frac{20}{51}\end{array}\right]$\)

The transformed matrix gives us the solution to the system of equations using Gauss-Jordan elimination

x = -14/51, y = 2/17, z = 2/17, w = 20/51.

c) In terms of computations, Gauss-Jordan elimination involves fewer calculations as it requires performing row operations on the augmented matrix, which can be done efficiently. Cramer's rule, on the other hand, requires calculating determinants, which can be computationally expensive for larger systems of equations. Therefore, Gauss-Jordan elimination involves fewer computations compared to Cramer's rule.

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Answer:

s = 150f

Step-by-step explanation:

A tropical punch recipe calls for 300 ml of sugar for every 2 flavor packages. Write an equation that shows the relationship between s, the amount of sugar in milliliters, and f, the number of flavor packages for this recipe.

The amount of sugar in milliliters = s

The amount of flavor packages for these recipe = f

The relationship between 2 variables

= y ∝ x

y = kx

k = constant of proportionality

Hence:

s ∝ f

s = kf

Note ,

s = 300

f = 2

300 = 2k

k = 300/2

k = 150

Therefore, the equation that shows the relationship between s, the amount of sugar in milliliters, and f, the number of flavor packages for this recipe is:

s = kf

s = 150f

Answer:

2=150f

Step-by-step explanation:

khan said so

Answer:

  A.   y = -3x + 5

Step-by-step explanation:

Use any two points to find slope, let's use (-2, 11) and (4, -7):

  slope m = (y₂ - y₁) / (x₂ - x₁)

                = (-7 - 11) / (4 - (-2))

                = -18 / 6

            m = -3

Use above slope and any one point to find y-intercept, let's use (10, -25):

  y = mx + b

  -25 = -3(10) + b

  -25 = -30 + b

  b = 5

Use m and b above to form equation of line:

  y = mx + b

  y = -3x + 5

Answer:

so here we are told that angle CED is 39 degrees and in this diagram we have three angles the first one is Angle CED the next one is angle CEL and the last one is angle LED so angle c e l + angle LED is equals to angle c e d so in this case 3 x - 6 + x + 25 should be equal to 39 degrees collect the like terms 3 x + x + 25 - 6 is equals to 39 degrees 4X + 19 is equals to 39 cross the 19 over the equals sign that you have 4 x is equals to 39 + 19 4 x is equals to 68 divide both sides by 4 and x is equals to 17 then substitute replace where there is x with seventeen so in this case angle c e l will be 3 * 17 -6 we are multiplying 3 by 17 because it was 3 x and we got the value of x to be 17 so 3 * 17 is 51 -6 is 45 so angle CEL is 45 degrees you can do the same with the other angle that is angle LED and you get x to be 42

Answer:

the answer is

Solve the equation for x by finding a, b, and c

of the quadratic then applying the quadratic formula.

Exact Form:

x=1+4√3,1−4√3

Decimal Form:

x=7.92820323…,−5.92820323…

Answer:

Step-by-step explanation:

x+y=50 Because x and y represent the number of coins

25x+10y=980 Because there are x quarters and y dimes

-10x-10y=-500 Multiply the first equation by -10 to cancel out y (using the

addition method: equation 1 + equation 2)

15x=480 Solve for x

x=32

(32)+y=50 Substitute x

-32       -32

y=18 Solve

Answer:  The correct answers are dimes = 18 and quarters = 32

Step-by-step explanation:

q = quarters

d = dimes

What we know:

What we need to find out:

Using a system of equations, we can solve this:

q + d = 50  (the total number of coins = 50)

25q + 10d = 9.80  (the number of each time their value totals $9.80)

Multiply the first equation by 25:

(25)*q + (25)*d = (25)*50

25q + 25d = 1250

Subtract the first equation from this equation to solve for quarters:

25q-25q + 25d-10d = 1250 - 980

15d = 270

15d/15 = 270/15

d = 18   (18 dimes)

Now plug-in the dimes into the original equation to find quarters:

q + d = 50

q + 18 = 50

q = 50 - 18

q = 32    (32 quarters)

Check our math:

(18 * .10) + (32 * .25) = 9.80

1.80 + 8.00 = 9.80

9.80 = 9.80  (correct!)

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The function will be a compund interest

Answer:

x = 11

Step-by-step explanation:

1. Because this is a straight angle, (11x + 7)° and (5x - 3)° add up to 180°.

2. (Solving)

Step 1: Simplify both sides of the equation.

Step 2: Subtract 4 from both sides.

Step 3: Divide both sides by 16.

Therefore, x = 11! I hope this helped you.

Answer:

The measure of the angle is 11 and its complement is 79 degrees

Step-by-step explanation:

Mathematically, when two angles are complementary, the sum of the angles equal 90 degrees

so now, if the first angle is x , the second angle which is increased by 68 degrees will be x + 68

So now if we add these two, the value we will get is 90 degrees

Mathematically, we have this as;

x + x + 68 = 90

2x + 68 = 90

2x = 90-68

2x = 22

x = 22/2

x = 11

the measure of the angle is 11 and its complement will be 11 + 68 = 79

Diversity encompasses multiple dimensions such as life experiences, educational background, geographic origin, and age that is option E.

Diversity encompasses a range of factors including life experiences, educational background, geographic origin, and age. It goes beyond a single dimension and encompasses various aspects that contribute to differences among individuals. By embracing diversity in all its forms, organizations and communities can benefit from a wider range of perspectives, ideas, and talents.

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Answer:

BC=53.68

Step-by-step explanation:

Use tangent since you are finding the opposite side and given the adjacent side.

tan(54)=BC/39

BC=53.68

Answer:

C

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan54° = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{AC}\) = \(\frac{BC}{39}\) ( multiply both sides by 39 )

39 × tan54° = BC, then

BC ≈ 53.68 ( to 2 dec. places ) → C

The function that represents the total charge for renting a truck for a certain number of hours is c(h) = $90 + $20(h) and the value of the function for an input of 5, is $190 and this represents the total charge for a rental of 5 hours.

Given,

A truck rental company charges $90 plus $20 per hour.

Here we need to  identify a function that represents the total charge for renting a truck for a certain number of hours. And we also need to find the value of the function for an input of 5.

The problem statement tells you the total charge is the sum of $90 and a charge of $20 per hour. That is, for h hours, the total charge is ...

c = 90 + 20h

In functional form, this is

c(h) = 90 +20(h) . . . . . . total charger for a rental of h hours

The function value with an input of 5 is ...

c(5) = 90 +20(5)

c(5) = 90 + 100

c(5) = 290

Since the input is the number of hours of rental, and the function value is the total charge, this represents the total charge for a rental of 5 hours.

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Answer:

f(h)=90+20h

$190

Step-by-step explanation:

Answer:

its the second one

Step-by-step explanation:

Answer:

B. Subtract 28 from both sides

Step-by-step explanation:

2x + 28 = 40

      -28   -28

2x = 12

2x/2 = 12/2

x = 6

There are 1,000,000 different numeric combination codes that can be set on this lock.

Given that a combination lock has 6 settings, and any digit from 0 to 9 can be selected for each setting with the possibility of repetition, the number of different numeric combination codes that can be set on this lock can be calculated as follows:

Your answer: There are 10 possible digits for each of the 6 settings (0-9). Since each setting is independent and any digit can be repeated, you can simply multiply the number of possibilities for each setting together.

Step 1: Determine the number of possibilities for each setting (0-9) which is 10.
Step 2: Multiply the number of possibilities for all 6 settings: 10 x 10 x 10 x 10 x 10 x 10.

This results in 1,000,000 different numeric combination codes that can be set on this lock.

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The interest rate is 10.89%

1. Given,С = 200+ 0.69YI = 80 - 1,000rG = 20NX = 850.09ee = 90M = 115YL = 0.5Y - 200rY = 300Using the equation for National Saving, we get,National Saving = Investment + Government Saving + Net exports(S – I) + (T – G) + (X – M) = 0T = 0, hence (S – I) + (X – M) = 0(1 – t)Y – C – (I + G) + NX = 0Where t = 0, we get,0.5Y – 200r – 200 – 69/100Y + 80 – 850.09e = 0.5Y – 200r – 970.09e – 120 = 0.5Y – 200r – 970.09e – 120 = 0Therefore, Y = 325.0454 - 0.5r + 4.851eThis is the equation for the IS curve.On the other hand, the equation for the LM curve is given by,Ms / P = YL(i)115 / 1 = 0.5Y - 200rTherefore, Y = 400 + 400rThis is the equation for the LM curve.The interest rate is given by the point of intersection of the two curves. Equating Y from both equations, we get,325.0454 - 0.5r + 4.851e = 400 + 400rSolving the above equation for r, we get r = 0.1089 or 10.89%..

The size of the nominal money supply in the new short-run equilibrium is 121.07.

2. From the equilibrium found in Question (1), if the foreign interest rate increases by 0.05, the domestic output will change in two ways, depending on the flexibility of the nominal exchange rate.Flexible Exchange Rates:In this case, the nominal exchange rate will depreciate (e decreases). This will increase net exports and shift the IS curve to the right. The new equilibrium will be at a higher level of output.Real exchange rate will fall.Increase in output will be higher compared to the fixed exchange rate case.Fixed Exchange Rates:In this case, the nominal exchange rate will remain constant. Therefore, there will be no effect on net exports.IS curve will not shift.Real exchange rate will remain unchanged.Increase in output will be less compared to the flexible exchange rate case.The nominal money supply in the new short-run equilibrium will change in the case of Fixed Exchange Rates. In the fixed exchange rate case, the domestic interest rate will increase, leading to an inflow of capital. This will increase the money supply and the LM curve will shift downwards until it intersects the IS curve at the new equilibrium point.

Real exchange rate will remain unchanged.

3. From the equilibrium found in Question (1), if the foreign interest rate increases by 0.05, the domestic output will change in two ways, depending on the flexibility of the nominal exchange rate. Flexible Exchange Rates :In this case, the nominal exchange rate will depreciate (e decreases). This will increase net exports and shift the IS curve to the right. The new equilibrium will be at a higher level of output .Real exchange rate will fall. Value of the real exchange rate in the new equilibrium is 0.891.Fixed Exchange Rates: In this case, the nominal exchange rate will remain constant. Therefore, there will be no effect on net exports.IS curve will not shift.

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Answer:

27

Step-by-step explanation:

Width = w

length = l

w=1/3 * l

or, l=3w

perimeter=2l+2w=24

2(l+w)=24

2(3w+w)=24

2*4w=24

8w=24

w=3

l=9

Area=3*9=27

Answer:

skewed to the left

Step-by-step explanation:

A histogram is used to represent data graphically. the histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval. the frequency is usually on the vertical axis while the class interval is usually on the horizontal axis.

If the mean is greater than the median, the histogram would be skewed to the right

If the mean is less than the median, the histogram would be skewed to the left.

The mean in this question is $46,200 while the median is $54,500. So, the histogram would be skewed to the left

The reference triangles always have a leg perpendicular to the hypotenuse.

In a right triangle, the reference triangle is formed by dropping a perpendicular from one of the acute angles to the hypotenuse. This perpendicular leg, also known as the altitude, divides the hypotenuse into two segments. The reference triangle is created to establish a relationship between the angles and sides of the original right triangle. By considering the ratios of the sides in the reference triangle, we can apply trigonometric functions to solve various problems involving right triangles. The perpendicular leg of the reference triangle is crucial in determining the values of sine, cosine, and tangent for the given angle in the original triangle.

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According to the given data we have the following:

Whitney earns 312 in 26 hours of work

Andrew earns 451 in 41 hours of work

Lena earns 10 per hour

In order to calculate who earns the most money per hour we would have to calculate the rate of money per hour of Whitney and Andrew and the compare it with Lena.

So, money per hour of whtiney=312/26

money per hour of whtiney=12 per hour

money per hour of Andrew=451/41

money per hour of Andrew=11 per hour

Therefore, Whitney is the person that earns most money per hour.

Step-by-step explanation:

2(3x-7)=4

6x - 14 = 4

add 14 to both sides

6x = 18

divide by 6

x = 3

\(area \: of \: land \: with \: john \: = 1 \frac{1}{4} \: acres \ \\ \\ = \frac{(4 \times 1) + 5}{4} \\ \\ \\= \frac{9}{4} \: acres\)

Quantity of fertilizer needed to cover 1 acre of land :-

\( \: \ \\ = 80 \frac{1}{2} \: pounds \\ \\ = \frac{(2 \times 80) + 1}{2} \\ \\ = \frac{81}{2} \: pounds\)

Quantity of fertilizer needed by John to cover his land :-

\( \frac{9}{4} \times \frac{81}{2} \)

\( \frac{(9 \times 2 ) \times (81 \times 4)}{8} \)

\( \frac{(18 \times 324)}{8} \)

\( = \frac{5832}{8} \)

\( = 729 \: pounds\)

∴ John needs 729 pounds of fertilizer to cover his land .