Two learners are planning to make baskets to raise money for the honors society at their school. Marcia will make baskets out of palms. Norma plans to make baskets out of pine straw. Together, they have $100 to spend on supplies.

The palm baskets cost $4 to make and will sell for $20.
The pine straw baskets cost $3 to make and will sell for $17.
The learners agree that they will each make at least 14 items. Let x represent the number of palm baskets and let y represent the number of pine straw baskets.

Answer:

5.62 - 0.32= 5.3 or 5.30

Step-by-step explanation:

Answer:

-73

Step-by-step explanation:

-4(5)^2+3(5)+12

5^2=25

25*-4=-100

-100+15+12=-73

Answer:

34 cm

Step-by-step explanation:

The nth term of a geometric progression Tₙ = arⁿ⁻¹ where a = first term, and r = common ratio.

Given that our first term, T₁ = ar¹⁻¹ = a = 121 cm and our third term T₃ = ar³⁻¹ = ar² = 64 cm

Then, T₃/T₁ = ar²/a = r²

r² = T₃/T₁

r² = 64 cm/121 cm

r = √64/121

r = 8/11

So, the height of our fifth bounce T₅ = ar⁵⁻¹

= ar⁴

= 121 cm × (8/11)⁴

= 121 × 4096/14641

= 4096/121 cm

= 33.9 cm

≅ 34 cm to the nearest cm

Using a geometric sequence, it is found that the height of the fifth bounce is of 33.85 cm.

In a geometric sequence, the quotient between consecutive terms is always the same, and it is called common ratio r.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1r^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

In this problem:

[tex]a_n = a_1r^{n-1}[/tex]

[tex]64 = 121r^{2}[/tex]

[tex]r^2 = \sqrt{\frac{64}{121}}[/tex]

[tex]r = \frac{8}{11}[/tex]

Hence:

[tex]a_n = 121\left(\frac{8}{11}\right)^{n-1}[/tex]

The height of the fifth bounce is of [tex]a_5[/tex], hence:

[tex]a_5 = 121\left(\frac{8}{11}\right)^{4} = 33.85[/tex]

The height of the fifth bounce is of 33.85 cm.

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Answer:248

Step-by-step explanation:

First you need to find the unit rate by dividing 93 by 3 which would be 31 then take that number (which is how many miles for one gallon) and multiply it by 8 which would get you 248( if you need this as an equation here 93\3= 31 31*8 = 248). If they gave you the distance instead you would have had to divide by 31 instead of using multiplication. Hope this helps!

Answer:

merhaba ben yeni geledimde adın ne

Answer:

d

Step-by-step explanation:

Answer:

20.1 feet

Step-by-step explanation:

We solve the above question using the Pythagoras Theorem

The Pythagoras Theorem =

Opposite² + Adjacent ² = Hypotenuse²

From the above question,

Opposite side = Height of the wall = x

Adjacent side = Distance from the base of the building = 9 feet

Hypotenuse = Length of the ladder = 22 feet

Hence:

x² + 9² = 22²

x² = 22² - 9²

x = √22² - 9²

x = √403

x = 20.0748599 feet

Approximately = 20.1 feet

Therefore, the height of the wall = 20.1 feet

Answer:

He makes £470 profit

Step-by-step explanation:

He pays $160 for 60 jumpers.

He sells 80% (48) for $12 each. Income of $576

He puts the remaining (12) on sale for one full one half off.

He sells 3 for half price ($6) and 3 for full price ($12) Income of $54

$576 + $54 = $630

$630 - $160 = $470

In pounds sorry about the USD

Answer:

Step-by-step explanation:

(-3 + 1)/(2 + 2)= -2/4= -1/2 is the slope

i not sure but i think its  183

Answer:

question 18 asking for a equation for each week 89÷4

question 19 would be 60 + 123 = 183 then 183 ÷ 4 = 45.75

Answer:

x=2/5y+6/5

Step-by-step explanation

5x-2y=6

5x-2y+2y=6+2y

5x=2y+6

step 2

5x/5=2y+6/5

x=2/5y+6/5

Answer:

3 3/5 meters (B)

Step-by-step explanation:

Since this is perimeter, you must find the "outside".

The top side: 1/4 * 4 = 1

Left side: 1/5 * 4 = 4/5

Bottom: 1

Right side: 4/5

Add them up!

1 + 1 + 4/5 + 4/5

2 8/5

3 3/5

B!

Answer:

We don't know

Step-by-step explanation:

enWe know that the baker makes 35 BLUEBERRY muffins BUT we do not know how many OTHER muffins he makes. If he just has blueberry, then he would be making 35.

Hope this helps! Have a great day :)

Sorry this took a while; calculated a lot of things.

Step-by-step explanation:

A.

Combined:

2.67 times 23.76 = 63.4392

2.67 times - 21 and 5/6 = -58.295

63.4392 - 31.85 -58.295 = -26.7058

If you mean do both separate:

63.4392 - 31.85 = 31.5892

-58.295 - 31.85 = -90.145

B.

Combined:

11 and 3/4 times 23.76 = 279.18

11 and 3/4 times 21 and 5/6 = 256.541666667

279.18 + 256.541666667 + 56 and 3/8 = 592.096666667

If you mean do both separate:

279.18 + 56 and 3/8 = 335.555

256.541666667 + 56 and 3/8 = 312.916666667

Answer:

It will be 1/4

Step-by-step explanation:

Hope this helped

The solution to the given linear function at f(1) when calculated gives an output value of; 8

We are given the linear function represented by the equation;

f(x) = 7(x - 1) + 8

Now, to find f(1) simply means we substitute 1 for x in the given expression to obtain;

f(1) = 7(1 - 1) + 8

f(1) = 8

Thus, the solution is; f(1) = 8

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The elevator of  John Hancock Center in Chicago travels at a faster rate.

For the equation represented by the height of the elevator of  John Hancock Center in Chicago given as y = 30x, the rate of change is 30 ft/s which is equivalent to 1800 per minute.

Since the express elevator in the Empire State Building in New York City travels nonstop from  the ground floor to the top floor at a rate of 1,400 feet per minute, hence the elevator of  John Hancock Center in Chicago travels at a faster rate.

Learn more on rate here: https://brainly.com/question/8728504

Answer:

5^9 or 1,953,125

Step-by-step explanation:

5^22 / 5^13

Using the law of exponents we have 5^22-13 = 5^9

Answer:

Step-by-step explanation:

A car traveling at an average rate of 60 miles per hour will drive 270 miles in 4.5 hours is true.

Speed is the time rate at which an object is moving along a path,

Given that car traveling at an average rate of 60 miles per hour will drive 270 miles in 4.5 hours.

We have to check whether the statement is true or false.

To check, we can use the formula:

distance = rate x time

Substituting the given values, we get:

distance = 60 x 4.5 = 270 miles

Therefore, the statement is true.

Hence, A car traveling at an average rate of 60 miles per hour will drive 270 miles in 4.5 hours is true.

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Answer:

(i) For [tex]2\cdot h[/tex], the volume is [tex]96\pi[/tex] cubic centimeters.

(ii) For [tex]5\cdot h[/tex], the volume is [tex]240\pi[/tex] cubic centimeters.

(iii) For [tex]\frac{h}{2}[/tex], the volume is [tex]24\pi[/tex] cubic centimeters.

(iv) For [tex]\frac{h}{5}[/tex], the volume is [tex]9.6\pi[/tex] cubic centimeters.

Step-by-step explanation:

The volume of the cylinder ([tex]V[/tex]), measured in cubic centimeters, is defined by the following formula:

[tex]V = \pi\cdot r^{2}\cdot h[/tex] (1)

Where:

[tex]r[/tex] - Radius, measured  in centimeters.

[tex]h[/tex] - Height, measured in centimeters.

From statement, we understand that volume of the cylinder is directly proportional to its height. That is:

[tex]V \propto h[/tex]

[tex]V = k\cdot h[/tex] (2)

Where [tex]k[/tex] is the proportionality constant, measured in square centimeters.

In addition, we eliminate this constant by constructing the following relationship:

[tex]\frac{V_{2}}{V_{1}} = \frac{h_{2}}{h_{1}}[/tex]

[tex]V_{2} = \frac{h_{2}}{h_{1}} \cdot V_{1}[/tex] (3)

Based on (3) and knowing that [tex]V_{1} = 48\pi[/tex], we calculate the volumes for each height ratio:

(i) For [tex]2\cdot h[/tex], the volume is [tex]96\pi[/tex] cubic centimeters.

(ii) For [tex]5\cdot h[/tex], the volume is [tex]240\pi[/tex] cubic centimeters.

(iii) For [tex]\frac{h}{2}[/tex], the volume is [tex]24\pi[/tex] cubic centimeters.

(iv) For [tex]\frac{h}{5}[/tex], the volume is [tex]9.6\pi[/tex] cubic centimeters.

Answer:

2 units

Step-by-step explanation:

We are given that

Angle ,[tex]\theta=\frac{\pi}{2}[/tex]radian

Length of an arc=[tex]\pi[/tex]

We have to find the radius of circle in simples form.

We know that

[tex]\theta=\frac{l}{r}[/tex]

Where l=Length of arc

r=Radius of circle

Using the formula

[tex]\frac{\pi}{2}=\frac{\pi}{r}[/tex]

[tex]r=\frac{2\times \pi}{\pi}[/tex]

[tex]r=2[/tex]units

Hence, the radius of the circle=2 units

Answer:

$285

Step-by-step explanation:

57 by 4 is 228 then add 57 to 228 which is 285

Answer:

4y=48

y=48/4

y=12

therefore,the value of y is 12

Answer:

First, develop an equation for this scenario. The formula to find the perimeter of a quadrilateral is 2l+2w. Because the length is 4 less than twice the width, this would be translated to (2w-4). Plug this into the variable for the length to get 2(2w-4)+2w=40. Distribute the 2 to get 4w-8+2w=40. Add the like terms to get 6w-8=40. Add 8 to both sides and get 6w=48. Divide 6 to result with w=8.

Now that we know w, we can substitute 8 into the variable to solve for the length. 2l+2(8)=40. Multiply 8 and 2 to get 2l+16=40. Subtract 16 to both sides to get 2l=24. Divide 2 to both sides to result with l=12.

Length = 12 feet

Width = 8 feet

Answer:

the submarine travels 26.8 km. from its base

Answer:

The answer is 19.1

Step-by-step explanation:

[tex]z = \sqrt{ {x}^{2} + {y}^{2} } = \sqrt{ {12}^{2} + {14.8}^{2} } = 19.1[/tex]

Step-by-step explanation:

step 1. The first equation 4x - y = 5 has a slope of 4. The 2nd equation simply cannot have the same slope for there to be 1 solution.

step 2. -y = 4x + 5. This has a slope of -4 so "yes" it could work.

step 3. y = 4x - 5. "no".

step 4. 2y = 8x - 10. The slope is 8/2 = 4. "no".

step 5. -2y = 8x - 10. The slope is 8/-2 = -4. "yes".

Answer:

V = 4/3 * pi * radius^3

 = 4/3 * 22/7 * 11*11*11 = 117128/21 = 5577.5238092.....

Step-by-step explanation:

Answer:

ST =6.9

SR =15.9

Step-by-step explanation: