What number can replace x to make a true statement?

Let's use "j" to represent the cost per pound of jelly beans, and "t" to represent the cost per pound of trail mix.

From the first sentence of the problem, we can write an equation for the total cost of 8 pounds of jelly beans and 4 pounds of trail mix:

8j + 4t = 37

From the second sentence of the problem, we can write an equation for the total cost of 3 pounds of jelly beans and 2 pounds of trail mix:

3j + 2t = 15

Now we have two equations with two variables, which we can solve using algebra.

Multiplying the second equation by 4, we get:

12j + 8t = 60

We can now use the first equation to solve for one of the variables in terms of the other. Solving for j, we get:

j = (37 - 4t)/8

Substituting this expression for j into the second equation, we get:

3(37 - 4t)/8 + 2t = 15

Multiplying both sides by 8 to eliminate the fraction, we get:

111 - 12t + 16t = 120

4t = 9

t = 2.25

Substituting this value for t into the expression we found for j, we get:

j = (37 - 4(2.25))/8 = 2.125

Therefore, the cost per pound of jelly beans is $2.125 and the cost per pound of trail mix is $2.25.

Let x be the cost per pound of jelly beans and y be the cost per pound of trail mix. Then we can set up two equations:

8x + 4y = 37 (equation 1)

3x + 2y = 15 (equation 2)

We can solve for x and y by using the substitution method. Solve equation 2 for y:

y = (15 - 3x) / 2

Substitute this into equation 1:

8x + 4((15 - 3x) / 2) = 37

Simplify and solve for x:

8x + 30 - 6x = 37

2x = 7

x = 3.5

Now we can substitute x = 3.5 back into equation 2 to find y:

3(3.5) + 2y = 15

10.5 + 2y = 15

2y = 4.5

y = 2.25

Therefore, the cost per pound of jelly beans is $3.50 and the cost per pound of trail mix is $2.25.

Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:

PV = A *\((1 - (1 + r)^(-n)) / r\)

Where:

PV = Present value

A = Annual payment or cash flow

r = Interest rate per period

n = Number of periods

In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).

Using the formula and substituting the given values, we can calculate the present value:

PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)

Calculating this expression:

PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)

= 13000 * (1 - 0.46318) / 0.10

= 13000 * 0.53682 / 0.10

= 6977.66 / 0.10

= 69776.6

Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

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Answer:

y = 12 + 6x

y = 12x

Step-by-step explanation:

From the information provided, the following equations are derived:

y = 12 + 6x    ------- Eqn 1

y = 12x          ------- Eqn 2

Since Eqns 1 and 2 have the same subject, we equate them to solve for x. We have:

12x = 12 + 6x

Putting like terms together, we have:

12x - 6x = 12 ⇒ (12 - 6)x = 12

6x = 12 ⇒ x = 2

x = 2

Substitute x into Eqn 1 or 2

Eqn 1

y = 12 + 6x

y = 12 + 6(2) = 12 + 12

y = 24

Eqn 2

y = 12x

y = 12(2)

y = 24

It means that it will take Ms. Ironperson and Mr. Thoro 2 days apiece to produce the same number of posters at the current rate (which is 24 posters). Both Ms. Ironperson and Mr. Thoro will individually take 2 days to produce 24 Avenger posters apiece.

Answer:

The answer is in the pic above

Given statement solution is :- The manager will have enough funds, and the amount set aside ($10,000) is sufficient to cover the payroll for the next four weeks.

To determine if the manager will have enough funds to cover the nightly payroll for the next four weeks, we need to calculate the total cost for four weeks and compare it to the amount set aside.

The nightly payroll has a mean of $2200 and a standard deviation of $300. Since there are seven nights in a week, the weekly payroll can be calculated as:

Weekly Payroll = Nightly Payroll * Number of Nights in a Week

= $2200 * 7

= $15,400

To calculate the total cost for four weeks, we multiply the weekly payroll by four:

Total Cost for Four Weeks = Weekly Payroll * Number of Weeks

= $15,400 * 4

= $61,600

Now, let's calculate the z-score using the formula:

z = (X - μ) / σ

Where:

X = Total Cost for Four Weeks

μ = Mean of the distribution

σ = Standard deviation of the distribution

z = ($61,600 - $2200) / $300

z = $59,400 / $300

z ≈ 198

To determine if the manager will have enough funds to cover the payroll, we need to find the proportion of the distribution that is less than or equal to the z-score. This can be done by consulting a standard normal distribution table or using statistical software.

For a z-score of 198, the proportion in the tail of the distribution is essentially 1 (or 100%). This means that the manager is virtually guaranteed to have enough funds to cover the payroll for the next four weeks.

Since the manager has set aside $10,000, which is less than the calculated total cost of $61,600, he will indeed have enough funds to cover the payroll.

Therefore, the manager will have enough funds, and the amount set aside ($10,000) is sufficient to cover the payroll for the next four weeks.

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The y-intercept of the linear function means that her initial distance from the finish line is of 10 kilometers.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph crosses the y-axis at y = 10, hence the intercept b is given as follows:

b = 10.

The y-values represent the distance in the context of this problem, hence the initial distance is of 10 km.

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Given:

Find the general representation of the given series,

As, the nth term of the series is -4/243.

The sum of the first 7 terms of the given series is,

Answer: the sum of the series is -18.

The area containing the patio and pool is 992.8 ft².

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

Dimensions of the area containing both the patio and the pool.

Length = 27.2 ft

Width = 36.5 ft

Now,

Area = Length x Width

= 27.2 x 36.5

= 992.8 ft²

Thus,

The area containing the patio and pool is 992.8 ft².

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Answer:

y = -2/7x - 32/7

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

The slope is -2/7

y = -2/7 x+b

We know a point on the line is (5,-6)

Substitute this into the equation

-6 = -2/7(5) +b

-6 = -10/7+b

Add 10/7 to each side

-6 +10/7 = b

-42/7 + 10/7 = b

-32/7 = b

y = -2/7x  -32/7

Answer:

of what numbers

Step-by-step explanation:

Answer:

The answer is b

Step-by-step explanation:

The reason it is b is because i just did the question and it was right

Answer:

−8x3−1

Step-by-step explanation:

let's simplify step-by-step.

3−8x3−4

=3+−8x3+−4

Combine Like Terms:

=3+−8x3+−4

=(−8x3)+(3+−4)

=−8x3+−1

Answer:

-1 - (2x^3)^3

Step-by-step explanation:

The equation is:

=> 3 - 8x^3 - 4

=> -1 - 8x^3

=> -1 - (2x^3)^3

Answer:

y= 2x -6

Step-by-step explanation:

The slope-intercept form of a line is given by y= mx +c, where m is the slope and c is the y-intercept.

To find the equation of a line, two information are needed:

Given that the slope is 2, m= 2. Substitute m= 2 into y= mx +c:

y= 2x +c

Let's find the coordinate in which the line intersects the line 2x -3y= 6. Point of intersection refers to the point at which two lines cuts through each other i.e., the point lies on the graph 2x -3y= 6 and the line of interest.

2x -3y= 6

When x= 3,

2(3) -3y= 6

6- 3y= 6

3y= 6 -6

3y= 0

Divide both sides by 3:

y= 0

Coordinate that lies on the graph is (3, 0).

Substitute the point into the equation and solve for c:

y= 2x +c

When x= 3, y= 0,

0= 2(3) +c

0= 6 +c

c= -6

Substitute the value of c back into the equation:

Thus, the equation of the line in slope-intercept form is y= 2x -6.

Additional:

For a similar question on slope-intercept form, do check out the following!

A = 440

answer...

A

=

a

+

b

2

h

=

25

+

19

2

·

20

=

440

The domain of the relation is the set of all the first components of the ordered pairs, which in this case is the set {-4, -9, -4, 8}. The range of the relation is the set of all the second components of the ordered pairs, which in this case is the set {2, -5, 12, -8}.

Therefore, the domain of the relation is {-4, -9, -4, 8} and the range of the relation is {2, -5, 12, -8}.

Answer:

Domain: -4, -9, -4, 8

Range: 2, -5, 12, -8

Step-by-step explanation:

Domain represents the independent variables, or the x coordinates

Range represents the dependent variables, or the y coordinates

The x coordinates or domain in this relation are:

-4, -9, -4, 8

The y coordinates or range in this relation are:

2, -5, 12, -8

Answer:

  $28

Step-by-step explanation:

Each round trip will be double the price of a one-way trip, so will be ...

  2 × $3.50 = $7.00

Diego and his 3 friends will require a total of 4 round-trip tickets for a cost of ...

  4 × $7.00 = $28.00

Step-by-step explanation:

√(7^2) + (9^2)

=√(49) + (81)

=√(130)

=11.401754251

Answer:

y+4=2(x-4)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=2(x-4)

y+4=2(x-4)   point slope form

Answer: quantitative

Step-by-step explanation:

Measured variables in statistics may be subdivided into quantitative or Qualitative variables depending on whether the variable in question is numeric or non-numeric. Variables which are designed to evaluate on the basis of Number or quantity may be termed as quantitative variables while those which measure attribute and are used for characterization are called Qualitative variables. In the scenario above, the variable is concerned with the determination of concentration of nitrogen draining into water bodies, concentration follows that numeric calculations be Made in other to determine the amount of nitrogen in milligram per Litre in a particular water body in other to prevent its effect on wildlife which could result from excessive concentration in water bodies.

Answer: 32.5

Step-by-step explanation:

Just look up trigonometry calculator should be the first thing

Answer:

5 is the answer

Step-by-step explanation:

120/24=5

Answer:

A. 5

Step-by-step explanation:

The angle is 120 degrees because of certain rules which explanations I can't remember off the top of my head. To get 24z to equal 120 you plug in 5.

Answer:

calculate the alternate by making (3x)° the subject of the formula then represent your answer with the solution of (11y-1)° and (7x-23)°,(6x-7)°

Dont forget to thank me later

Answer:

2 reflection across the y axis

We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot.

A statistical test is required to determine whether the length of the left foot is greater than the length of the right foot. The null hypothesis states that there is no difference in average length between the left and right feet. The alternative hypothesis is that the left foot's average length is greater than the right foot's average length.

This hypothesis is one-tailed, as we are only interested in whether the left foot is longer than the right foot. We are not considering the possibility that the right foot could be longer than the left foot.

A t-test can be used to determine whether the difference in average length between the left and right feet is statistically significant. We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot if the p-value of the t-test is less than the chosen significance level (e.g., 0.05).

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Answer:

B

Step-by-step explanation:

because B is 8/20 and it's not equivalent to 40/100

The amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2

The meaning of unit price is a price quoted in terms of so much per agreed or standard unit of product or service

Given that, a woman bought 1.8 kg of chicken and 1.6 kg of meat. The chicken cost $5.40 and the meat cost $6.40,

We need to find, if she had bought 2.4 kg of chicken and 2 kg of meat, how much would she have had to pay,

To find the same, we will first find the unit price of each,

Unit price = total price / total quantity

Since, 1.8 kg of chicken costs $5.40,

Therefore, 1 kg will cost = 5.40 / 1.8 = $3

Similarly,

If 1.6 kg of meat costs $6.40,

Therefore, 1 kg will cost = 6.40 / 1.6 = $4

Now, to find the cost of 2.4 kg of chicken and 2 kg of meat, we will multiply the unit prices to the required quantities,

Therefore,

2.4 kg of chicken will cost = 2.4 x 3 = $7.2

2 kg of meat will cost = 2 x 4 = $8

In total, she had to pay = 8+7.2 = $15.2

Hence, the amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2

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Answer:

6

Step-by-step explanation:

\(\frac{24-x}{x}=3 \\ \\ 24-x=3x \\ \\ 24=4x \\ x=6\)

Answer:

5.25

Step-by-step explanation:

Let the number be x. The equation is:

24 - x / x = 3

We can rearrange this equation to solve for x:

24 - x = 3x

21 = 4x

x = 21/4

x = 5.25

So the value of the number is 5.25.

Answer:

40.1°

Step-by-step explanation:

JK is the hypotenuse of the right triangle.

For angle J, KL is the opposite leg.

sin A = opp/hyp

sin J = 4.7/7.3

J = sin^-1 4.7/7.3

J = 40.1

Answer: 40.1°