A spice rack has ó shelves. Each shelf can display 15 spice jars. How many spice racks does a store need to display 2,250 spice jars?
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The equation of the linear relationship in slope-intercept form is y = 2x - 8. Option A is the correct answer.

To determine the equation of the linear relationship in slope-intercept form based on the table, we need to find the slope and y-intercept.

By observing the table, we can calculate the slope by selecting any two points. Let's choose the points (0, -8) and (4, 0).

Slope (m) = (change in y) / (change in x)

= (0 - (-8)) / (4 - 0)

= 8 / 4

= 2

Now that we have the slope, we can find the y-intercept by substituting the values of one point and the slope into the equation y = mx + b and solving for b.

Using the point (0, -8):

-8 = 2(0) + b

b = -8

Therefore, the equation of the linear relationship in slope-intercept form is: y = 2x - 8. Option A is the correct answer.

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The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Inverse table.

- What undoes sine?

writen as:

called: inverse sine

also called: arcsine

- What undoes cosine?

written as

called: inverse cosine

also called: arccosine

- What undoes tangent?

written as

called: inverse tangent

also called: arctangent

Table of sine, cosine, tangent for 30, 45 and 60 degrees.

Answer:

b

Step-by-step explanation:

fairly certain it is b

Answer:

x = -0.35

Step-by-step explanation:

tep 1 - Multiply 64 and 0.5x. The answer ends up being 32x

Step 2 - You need to get all of the variables on one side and the regular numbers on the other side. To do that, you need to subtract 2.5x from each side so you are left with the equation -10.5 = 29.5x

Step 3 - The final step is to isolate the variable. To do this, you divide each side by 29.5 meaning that x = -0.35

Answer:

A

Step-by-step explanation:

Using the properties of logarithms, we can simplify the expression:

4 log3x + 6 log3y - 7 log3z = log3x^4 + log3y^6 - log3z^7

Now, we can use another property of logarithms, which states that:

loga (mn) = loga m + loga n

Using this property, we can combine the logarithms with addition or subtraction:

log3x^4 + log3y^6 - log3z^7 = log3(x^4 * y^6 / z^7)

Therefore, the simplified form of 4 log3x + 6 log3y - 7 log3z is log3(x^4 * y^6 / z^7).

Answer:

17k - 25

Step-by-step explanation:

- 5(1 - 5k) - 4(2k + 5) ← distribute parenthesis

= - 5 + 25k - 8k - 20 ← collect like terms

= 17k - 25

Step-by-step explanation:

distribute -5 and -4

-5×1, -5×-5k and -4×2k, -4×5

so,

negative times negative is positive and positive times negative is negative

-5+25k-8k-20

add common variables

-5-20+25k-8k

-25+17k

Answer: 16j^3+2

Step-by-step explanation:

Answer: 11.22222222222222222222222222222% because there where 55 sandwiches and 11 where turkey

Step-by-step explanation:

Answer:

4:2.4 = 4/2.4

= 40/24 = 5/3 = 1 1/3

Answer:

Yes

Step-by-step explanation:

Answer:

y = 1.705882353

Step-by-step explanation:Combine like terms: 20 + 9 = 29

29 + -10y + -7y = 0

Combine like terms: -10y + -7y = -17y

29 + -17y = 0

Solving

29 + -17y = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-29' to each side of the equation.

29 + -29 + -17y = 0 + -29

Combine like terms: 29 + -29 = 0

0 + -17y = 0 + -29

-17y = 0 + -29

Combine like terms: 0 + -29 = -29

-17y = -29

Divide each side by '-17'.

y = 1.705882353

Simplifying

y = 1.705882353

Answer:

The height of the plank after the π/3 rotation motion is 8.464 ft

Step-by-step explanation:

The radius of the wheel = 4 ft

The elevation of the bottom of the wheel from the bottom = 1 foot

The angle to which the wheel is rolled = π/3 radians

The height of a rotating wheel is given by the following relation

f(t) = A·sin(B·t + C) + D

Where;

D = Mid line =  4 + 1 = 5 feet

B·t = π/3

C = 0

A = The amplitude = 4

Which gives;

f(t) = 4×sin(π/3) + 5 = 8.464 ft

The height of the plank after the π/3 rotation motion = 8.464 ft.

Answer:7 ft

Step-by-step explanation:

C

\({ \frac{5}{3}} \)

Step-by-step explanation:

\({ \purple{ \sf{3 \frac{2}{6} - 1 \frac{2}{3}}}} \)

\({ = \purple{ \sf{ \frac{18 + 2}{6} - \frac{3 + 2}{3}}}} \)

\({ = \purple{ \sf{ \frac{20}{6} - \frac{5}{3}}}} \)

\({ = \purple{ \sf{ \frac{20}{6} \times \frac{1}{1} - \frac{5}{3} \times \frac{2}{2}}}} \)

\({ = \purple{ \sf{ \frac{20}{6} - \frac{10}{6}}}} \)

\({ = \purple{ \sf{ \frac{20 - 10}{6}}}} \)

\({ = \purple{ \sf{ { \frac{ \cancel{10}^{ \green{ \sf{5}}} }{ \cancel{ 6_{ \green{ \sf{3}}} }}}}}}\)

\({ = \purple{ \boxed{ \red{ \sf{ \frac{5}{3}}}}}} \)

Step 1: Figure out how many years 2020 is after 1998

2020 is 22 years after 1998, therefore we should plug in 22 for x.

Step 2: Plug in known values

The only unknown variables in this equation are S and x. We just found out what x is, which leaves S for us to figure out by solving.

S - 1.5(22) = 5.1

Step 3: Solve

Now, all that's left to do is solve for S.

S - 1.5(22) = 5.1

S - 33 = 5.1

S = 38.1

Answer: 38.1 billion dollars

Hope this helps!

The correct answer is B. The sample represents a proportion of the population.

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

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Answer:

x=4,-10

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

By tracing the figure, we see that we go around a semicricle twice and go in a straight path twice. So the perimeter of this figure consists of two semicircles and two line segments, hence the answer is C.

Answer:

b = 4

Step-by-step explanation:

you must divide both sides of the equation by -5 to get b by itself. division cancels out multiplication but also keeps both sides equal

b = -20/-5

b = 4

Answer:

126.9° and 323.°1

Step-by-step explanation:

I'll use x instead of theta and you can replace it by theta

5 sin x + 3 = 0

5 sin x = - 3

Sin x = - 3/5

Key angle = sin¯¹ 3/5 = 36.8698

Sin negative, so we use the third and fourth quadrants

X = 90+36.8698, 360-36.8698

X = 126.8698, 323.1302

Theta = 126.9°, 323.°1

Answer:

150

Step-by-step explanation:

20 percent of 150 is 30.

To check the answer... 150 times 0.2 is 30.

Answer:

150

20 percent of what number equals 30; Answer: 150.

Step-by-step explanation:

20% of what is 30?

Written using the formula: X = 30 ÷ 20%

Convert the percent to a decimal.

20% ÷ 100 = 0.2.

X = 30 ÷ 0.2.

X = 150.

So 20% of 150 is 30.

Answer:

D. (DE)

Step-by-step explanation:

A diameter of a circle is the line that goes across the whole circle. In this case, it is line DE.

Answer:

(z-8)y

Step-by-step explanation:

I think

Answer:

(z-8)-y...............

Step-by-step explanation:

C you are gonna have 3,120.00 pesos

Answer:

3.4 percent

Step-by-step explanation:

inflation of about [ 172.2 - 166.6 ] = 5.6 cpi of inflation

so the rate of inflation is [(5.6/166.6)*100] = 3.4 percent inflation.

Answer:

9:12

Step-by-step explanation:

Answer:

the answer is Less than "<"

Step-by-step explanation:

when you reduce both ratios you get 6:9=2:3 and 9:12=3:4

2:3<3:4

Answer:

The y intercept is 100. that means she needs to pay a $100 base fee for the rental.

Answer:

An investigator.

Step-by-step explanation:

Please mark brainliest.

Answer:

1.)\(x=-\frac{1}{6} +\frac{5y}{6}\)

2.)\(x=\frac{5}{3} -\frac{2y}{3}\)