How to do this please?️​

The cost of one ft² of sod is $2 and the cost of one geranium is $9.

9s + 2g = 36 equation 1

9s + 5g = 63 equation 2

Subtract equation 1 from equation 2:

3g = 27

g = 27 / 3

g = $9

Substitute for g in equation 1

9s + (2 x 9) = 36

9s + 18 = 36

9s = 36 - 18

9s = 18

s = 18 / 9

s = $2

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Based on the stated annual interest rate and the face value of the bond, the semiannual payments will be $1,000,000.

The formula to find the semiannual payment is:

= (Face value x Stated annual interest rate) / 2 semi-annual periods per year

Solving gives:

= (50,000,000 x 4%) / 2

= 2,000,000 / 2

= $1,000,000

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Answer:

bro nobody can figure this out you need to word the entire question with numbers and all. and proper English pls

Answer:

17.5 mph

Step-by-step explanation:

Let the speed of the boat in still water be B mph
Let the rate of the current be R mph

When going upstream the effective speed is B-R mph. In terms of values given effective upstream speed = 42/3 = 14 mph

So,

B-R = 14  ... (1)

Similarly downstream speed is  B + R (faster downstream)

B + R = 42/2 = 21 ....  (2)

(1) + (2) ==> 2B = 35

B = 35/2 = 17.5 mph

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Answer:

D)¢ 8.75

Step-by-step explanation:

that is my answer please

The width of the cooling tower at the base of the structure will be A. 36 meters.

From the information given, the towers walls are modeled by x²/324 - (y² - 90)²/1600.

Therefore, the width of the cooling tower at the base of the structure will be:

= 2 × ✓324

= 2 × 18

= 36

In conclusion, the width is 36 meters.

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Answer:

It is actually D

Step-by-step explanation:

Answer:

Aprism =  483.246 yd2

Step-by-step explanation:

The surface area is the sum of the 2 circles areas and the rectangle area.

Ac1 = PI*r2

Ac1 = (3.14)*(11.4/2)2

Ac1 = 102.0186 yd2

Ac1 = Ac2 then

Ac2 = 102.0186 yd2

Now the perimeter of the circle is one the sides of the rectangle:

Pc = 2PI*r

Pc = 2*3.14*(11.4/2)

Pc = 35.796 yd

Now the area of the rectangle is:

Ar = 7.8yd*35.796yd

Ar = 279.2088 yd2

Then, the surface area of prism is:

Answer:

B. △RTS

Step-by-step explanation:

△MON ≅ △RTS

Answer:

-26

Step-by-step explanation:

2 is 14 away from -12. The other number that is 14 away from -12 is -26.

-12 + x = 2

x  = 14

-12 - 14 = -26

You are given the slope = 4 and a point is (-1,1)

The equation of a line is written as y - mx + b where m is the slope and b is the y intercept

Using the slope you now have y = 4x + b

Solve for b by replacing x and y with the values of the point:

1 = 4(-1) + b

Simplify:

1 = -4 + b

Add 4 to both sides:

b = 5

The equation of the line is C.) y = 4x + 5

Answer:

the type of growth defined by the equation is Exponential growth.

Step-by-step explanation:

Exponential growth :-Exponential growth is a pattern of data that shows greater increases with passing time, creating the curve of an exponential function. It occurs when the instantaneous rate of change of a quantity with respect to time is proportional to the quantity itself

expression for exponential growth -

f(x) = k(1+t)^x

f(x) = exponential growth

k = initial amount

t = rate of growth

x = no  of time interval

therefor,

the equation shown in the question represents exponential growth with increasing time.

hence, Exponential growth is the correct answer.

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In 25 years the account balance will be $38.51 if Jimmy Page puts $30 into a savings account that promises 1% interest compounded quarterly.

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

P = $30

r = 1% = 0.01

n = 4

[tex]\rm A = 30(1+\dfrac{0.01}{4})^{4\times25}[/tex]

After calculating:

A = $38.51

Thus, in 25 years the account balance will be $38.51 if Jimmy Page puts $30 into a savings account that promises 1% interest compounded quarterly.

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A system of the equation to be Dependent Consistent System the system must have multiple solutions. The correct option is C.

Inconsistent System

A system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.

For the system of equations to have infinite number of solutions, the lines of the equations must coincide, therefore, the line must overlap on each other.

For the lines to overlap the equations must be in a ratio. Therefore, the ratio of the left sides of the equations must be equal to the right side,

[tex]\dfrac{35x+14y}{5x+2y} = \dfrac{119}{k}\\\\\\\dfrac{7(5x+2y)}{5x+2y} = \dfrac{119}{k}\\\\\\\dfrac71 = \dfrac{119}{k}\\\\k = 17[/tex]

Hence, the value of k must be 17, therefore, the correct option is C.

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Answer:

Step-by-step explanation:

According to law of cosines if the lengths of triangle are 12,11,6 then the angle will be 114=157-132cos(Y)

Given the length of XZ is 12, length of YZ is 11 and the length of YX=6.

According to law of cosines the angle of a triangle when the length of sides are given can be written as:

[tex]c^{2} =a^{2} +b^{2} -2abcosd[/tex]

where c is the side opposite to the angle which we have to find and a and b are the rest sides.

We have to put the values of sides in the above law:

[tex]12^{2} =6^{2} +11^{2} -2*6*11cosY[/tex]

144=36+121-132 cos Y.

Hence the angle can be written as 144=36+121-132 cos Y.

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Answer:

(i) 8b-32

(ii) 7z^3+12z^2-20z

(iii) –q+p

(iv) a+ab

(v) 8x^2y+8xy^2-4x^2-7y^2

(vi) 4y^2-3y

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

(-5, 0)

Step-by-step explanation:

The y value of an x intercept is always 0. Therefore, we can substitute 0 for y in the equation to find the x intercept:
3x - 5(0) = -15
3x = -15
x = -5
The x intercept is (-5, 0)

Answer:

Step-by-step explanation:

What is [3-8]-(12÷3+1)²

[3-8]-(12÷3+1)² =

[3 - 8] - (4 + 1)² =

-5 - (5)² =

-5 - 25 =

-30

Answer: [tex]4.5 \text{ cm}^{2}[/tex]

Step-by-step explanation:

[tex]A=\frac{1}{2} bh\\\\A=\frac{1}{2}(3)(3)\\\\\boxed{A=4.5 \text{ cm}^{2}}[/tex]

The area of the triangle will be equal to 4.5 square centimeters.

The space occupied by any two-dimensional figure in a plane is called the area. The space covered by the triangle in the two-dimension is called an area of the triangle.

The area of the triangle ABD will be calculated as:-

Area = [tex]\dfrac{1}{2}[/tex] x Base x height

Area = [tex]\dfrac{1}{2}[/tex] x 3 x 3

Area = 4.5 cm.

Therefore the area of the triangle will be equal to 4.5 square centimeters.

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Answer:

[tex]\displaystyle{f(x+1)=|x-6|-4}[/tex]

Step-by-step explanation:

To evaluate [tex]\displaystyle{f(x+1)}[/tex], substitute [tex]\displaystyle{x}[/tex] to [tex]\displaystyle{x+1}[/tex] so we should have:

[tex]\displaystyle{f(x+1) = |x+1-7|-4}[/tex]

Evaluate the expression and finally, we have:

[tex]\displaystyle{f(x+1)=|x-6|-4}[/tex]

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Answer:

11

Step-by-step explanation:

for each full cup of sugar, you need 3 one-third measuring cups.

we have 3 full cups so 3×3=9

and another 2 for the 2/3, 9+2=11

so a total of 11 scoops

Answer:

D. 2

Step-by-step explanation:

rise / run = slope

rise = 2

run = 1

2/1 = 2

slope = 2

Answer:

2 (Answer D)

Step-by-step explanation:

The green line has a positive slope, so we can immediately reject Answers A and B.

A line with a slope of +2 rises steeply as we move from left to right, whereas a line with slope +1/2 rises much less steeply.  Also, it's quite clear, visually, that the slope of the given line is greater than 1.  Thus, the slope of the given line is +2 (Answer D).

24 of the 720 numbers have the numbers 1, 2 and 3 in that order

The digits are given as:

1, 2, 3, 4, 5, and 6

For 1, 2 and 3 to come in that order, then the three numbers must be treated as a digit

So, we have:

(123), 4, 5, and 6

Now, there are 4 digits.

The number of arrangements is then calculated as:

Arrangements = 4!

Expand

Arrangements = 4 * 3 * 2 * 1

Evaluate

Arrangements = 24

Hence, 24 of the 720 numbers have the numbers 1, 2 and 3 in that order

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There are 540 fuses in total and the original price of the internet is $55.91

a) We know that 5% of the fuses are faulty, and there are 27 faulty fusses, then we can write:

5% = 27

100% = x

We want to find x, to do that, we can write:

x = 27*(100%/5%) = 27*20 = 540

There are 540 fuses in total.

b) Now we know that the original price is P, and when we decrease it by 7%, then new price is $52.00

Then we can write:

$52.00 = P*(1 - 7%/100%)

$52.00 = P*(0.93)

$52.00/0.93 = P = $55.91

The original price is $55.91

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The multiplicative rate of change of the function f(x) = 2 × 5ˣ is 5.

An exponential function is a type of function in math that involves exponents. A basic exponential function is of the form f(x) = bˣ, where b > 0 and b ≠ 1.

The function is given as:

f(x) = 2 X 5ˣ

The above function is an exponential function.

An exponential function is represented as:

f(x) = abˣ

Where b represents the multiplicative rate

By comparison;

b = 5

Thus, the multiplicative rate of change of the function is 5.

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Answer:

B!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Substituting in p = 1/2,

[tex]\frac{1}{2}=\frac{8}{v}\\ \\ v=\boxed{16}[/tex]