Roman buys seed packets for the school garden. One packet of radish seeds costs $1.75. One packet of tomato seeds costs $2.50. Let r represent the number of radish seeds and let t represent the number of tomato seeds. Roman spent $62.75 on 32 packets of seeds. How many packets of each type of seeds did Roman buy? Use the table to guess and check. 8 tomato and 24 radish 9 tomato and 23 radish 23 tomato and 9 radish 24 tomato and 8 radish

Answer:

6p+19

Step-by-step explanation:

combine like terms:

8p+10+-2p+-1+10

(8p+-2p)+(10+-1+10)

6p+19

HOPE THIS HELPS!!!!!!:)

Answer:

5 added to a number, x.

Step-by-step explanation:

I phrased it like other ones I saw before so... :) (Also if you ask someone to write it, I'm sure they'd get x+5)

Answer:5 added to a number, x

Step-by-step explanation:

Answer:

-1 4 x y

Step-by-step explanation:

Answer:

78.5

Step-by-step explanation:

It is 78.5 because you first get the area of the circle, which is 314. Then divide 314 by 4 to get 78.5

The area of 1/4 of a circle with a radius of 10 is 78.5 units²

Given,

1/4 of a circle.

Radius = 10

π = 3.14

We need to find the area of 1/4 of a circle.

It is given as:

Area = πr²

Find the area of 1/4 of a circle.

We have,

Area of a circle = πr²

Radius = 10

1/4 area of a circle:

= 1/4 x πr²

= 1/4 x 3.14 x 10²

= 1/4 x 3.14 x 100

= 78.5 units²

Thus the area of 1/4 of a circle is 78.5 units²

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Answer: 2748.5 feet

Step-by-step explanation:

Given that the

Height h = 120 feet.

angle of depression = 2.5 degrees

The angle of depression is equal to the angle of elevation.

The base of the observation deck will be achieved by using trigonometry ratio.

Tan Ø = opposite/ adjacent

Opposite = height = 120 feet

Adjacent = base = ?

Substitutes the given parameters into the trigonometry ratio.

Tan 2.5 = 120 / adjacent

Adjacent = 120 / tan 2.5

Adjacent = 2748.452

Therefore, the base of the observation deck is 2748.5 feet

Answer:

B

Step-by-step explanation:

Answer:

C: 13/32

Step-by-step explanation:

Change 1/4 and 1/8 into 4/32 and 8/32 and add them up with the 7/32 and then subtract the top and you have your answer

Answer:

13/32 left over.

Step-by-step explanation:

First, you would want to convert the 1/4 and 1/8 to ?/32. You would get: 7/32 on housing, 8/32 on food, and 4/32 on transportation.

To get those numbers this is what you do: 1/4 was spent on food. 32 divided by 4 is 8. So that would be 8/32. I hope you understand, because I'm not that good at explaining!

Then you add those up: 7/32 + 8/32 + 4/32. You would get 19/32 as your total, which means you have 13/32 left over. I hope this helped!

Answer:

158m^3

Step-by-step explanation:

First, let's figure out the total amount of water in the tank.

It measures 4.5m by 6m by 8m. The volume of a rectangular prism is V=lwh.

Therefore, the volume is:

[tex]V=(4.5)(6)(8)=216 m^3[/tex]

We are told is it filled to the brim, so we can conclude that there are 216 cubic meters of water in the tank.

We used 58 cubic meters of water, so we simply need to subtract that from 216:

[tex]216m^3-58m^3=158m^3[/tex]

There is still 158 cubic meters of water left in the tank.

Answer:

158 m^3

Step-by-step explanation:

Volume of the tank

= 4.5 * 6 * 8

= 216 m^3.

So amount left in the tank

= 216 - 58

= 158 m^3.

Answer:

[tex]$\left(-\infty, \frac{17}{3} \right]$[/tex]

Step-by-step explanation:

[tex]2x - 5 \le -x +12[/tex]

[tex]2x - 5 +5\le -x +12+5[/tex]

[tex]2x\le -x+17[/tex]

[tex]3x \le17[/tex]

[tex]$x \le \frac{17}{3} $[/tex]

We have

[tex]$\{x \in \mathbb{R}:x \le \frac{17}{3} \}$[/tex]

Interval notation:

[tex]$\left(-\infty, \frac{17}{3} \right]$[/tex]

Answer:

It was kinda hard to really understand your question but as of all the information that I received the answer is 220 liters

Step-by-step explanation:

Answer:

the data are skewed, D.

Step-by-step explanation:

Answer:

Assuming that t = toppings, then the inequality is 9.25+0.75t ≤ 13.75. Solution is 6.

Step-by-step explanation:

Let's define toppings as [tex]t[/tex].

If the original cost of a pizza is $9.25 and each topping costs $0.75, we can find how much the toppings would cost by multiplying 0.75 by t, the amount of toppings. Adding this to 9.25 would give us the expression needed to find the cost.

[tex]9.25 + 0.75t[/tex]

If you want to spend NO MORE than 13.75, it's ok to spend $13.75, so we write the equation with a ≤ symbol (less than or equal to).

9.25+0.75t ≤ 13.75

Now lets solve the equation.

We can subtract 9.25 from both sides, which gets us

0.75t ≤ 4.5

Now we can divide both sides by 0.75 to isolate t.

t ≤ 6

So, the maximum number of toppings you can order is 6.

Hope this helped!

Answer:

6

Step-by-step explanation:

so default for pizza is 9.25

and toppings vary depending on number so 0.75x

so I guess 9.25+0.75x<=13.75-variable

equation-9.25+0.75x=13.75

solve to get 0.75x=4.5

x is 6 not sure

Answer:

v = 7

Step-by-step explanation:

a. v = 5x + 2y

= 5 × 3 + 2 × -4

= 15 + -8

= 7

Sorry I know only the A one anyways , hope this helps :)

Answer:

Step-by-step explanation:

a  v = 5x+ 2y = 5*3 + 2*-4 = 7

b 3p(p+5) = 3p^2 =15p

c 4k = 44

k=44/4 =11

i hope the person who had deleted my answer this much explanation is only required if not please say so that I can correct myself by ellaborating ...

Answer:

6x^2 - 14x + 4.

Step-by-step explanation:

5x^2 - 3x + 8 + 4x^2 - 7x - 3 - (3x^2 + 4x + 1)

=  5x^2 - 3x + 8 + 4x^2 - 7x - 3 - 3x^2 - 4x - 1

= 6x^2 - 14x + 4.

Answer:

P=2x +2y

2x=2y-p

As given that 2x=2(10)+88

x=108/2

x=54cm

May be it's help you;)

Answer:

The length of each of the two equally long sides is 26 cm

The length of the longer side is 36 cm

Step-by-step explanation:

Let the length of each of the two equal sides be represented by x

The other side = 10 + x

Perimeter of triangle (P) = sum of all sides of the triangle

88 = x + x + 10 + x

88 = 3x + 10

3x = 88 - 10

3x = 78

x = 78/3 = 26

Length of each of the two equally long sides (x) = 26 cm

Length of the longer side = 10 + x = 10 + 26 = 36 cm

Answer:

Consecutive angles in a parallelogram are, D supplementary.

Step-by-step explanation:

Consecutive angles in a parallelogram will always sum to 180 degrees.

Answer:

Supplementary

Step-by-step explanation:

Correct answer in Ap3x. Just took the quiz.

Answer:

Step-by-step explanation:

a. The length of the diagonal is approximately 15.74 feet.

b. The length of the shorter base is approximately 27.77 feet.

a. To find the length of the diagonal (d), we can use the given information and the formulas mentioned. Let's substitute the values into the formula:

h = (7/2) * tan(140°)

h ≈ (7/2) * (-1.376381920471173)

h ≈ -4.796335681196056

Now, substitute the values into the formula for the diagonal:

[tex]d = \sqrt{(22 - x)^2 + [(7/2) * tan(140\°)]^2}\\\\d = \sqrt{(22 - 7)^2 + [(-4.796335681196056)]^2}\\\\d = \sqrt{15^2 + 23.011228900189124}\\\\d = \sqrt{225 + 23.011228900189124}\\\\d = \sqrt{248.011228900189124}\\\\d = 15.74[/tex]

Therefore, the length of the diagonal is approximately 15.74 feet.

b. To find the length of the shorter base (b), we can use the given information and the law of cosines:

[tex]b^2 = 7^2 + 22^2 - 2 * 7 * 22 * cos(140\°)\\\\b^2 = 49 + 484 - 2 * 7 * 22 * cos(140\°)\\\\b^2 = 533 - 308 * cos(140\°)\\\\b^2 = 533 - 308 * (-0.766044443118978)\\\\b^2 = 533 + 236.924\\\\b^2 = 769.924\\\\b = 27.77[/tex]

Therefore, the length of the shorter base is approximately 27.77 feet (rounded to the nearest hundredth).

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Answer:

a) = Rs 16000

b) = 5%

c) = Rs 30,000,000

10% = 24,000,00/10 = Rs 240,000

20% = 240,000 x 2 = Rs 480,000

480,000/30 = Rs 16000

b) The bonus percentage needs to be increased by 5%

explanation:

Since every worker needs Rs 20000 we need to times it by 30

20000 x 30 = Rs 600,000

600,000 - 480,000 = Rs 120,000

Now we need to find the percentage of Rs 120,000

10% = Rs 240,000

5% = 240,000 divide by 2 = Rs 120,000

This is the best I can do for now please let me know if you understood the answer!

Answer:

1.Rs.16000

2.Bonus rate:25%

3.profit:Rs.3000000

Step-by-step explanation:

Case 1

Profit=Rs.2400000

Bonus Rate:20%

No.of employees =30

Now,

Bonus = (Bonus Rate of Profit) / no. Of employees

= 20% of Rs.2400000 / 30

= Rs. 16000

Case 2

Bonus=Rs.20000

Profit=Rs.2400000

Bonus rate=?

Now,

Bonus=bonus rate of profit / no. Of employees

Or,Rs. 20000 = Bonus rate × Rs. 2400000/30

Or, Rs. 20000=Bonus rate × Rs. 80000

Or,Rs.20000/Rs.80000 = Bonus rate

Bonus rate = 1/4=25%

Case 3

Bonus=Rs.20000

Bonus Rate = 20%

Now,

Bonus = bonus Rate of profit / no.of employees

Or, Rs. 20000 = 20% × Profit / 30

Or, Rs. 20000 × 30 / 0.2 = profit

Profit= Rs. 3000000

I hope it helped you

Answer:

3.2 matches with (A) -3.3

-2.3 matches with (C) 2.3

-1.5 matches with (B) 1.5

5.1 matches with (D) -5.1

Answer:

Step-by-step explanation:

Slope intercept form :  y - y1 = m(x -x1)

m = 3/2

(x1, y1) = (6, 1)

[tex]y - 1 = \frac{3}{2}(x - 6)\\\\y -1 = \frac{3}{2}*x -\frac{3}{2}*6\\\\y-1=\frac{3}{2}x-3*3\\\\y-1=\frac{3}{2}x-9\\\\y=\frac{3}{2}x-9+1\\\\y=\frac{3}{2}x -8[/tex]

Answer:

y=3/2 x  -8

Step-by-step explanation:

The slope should be in front of the x and the y intercept should be right after the x to create the slope intercept form. I used a graphing calculator which continued the line of 6,1 with a slope of 3/2 and then got

y=3/2x-8

Answer:

[tex]y=|\frac{1}{2} x-2|+2[/tex]

Step-by-step explanation:

If your original function is:

[tex]y=|\frac{1}{2} x-2|+3[/tex]

the translation of its graph vertically down one unit, can be obtained by simply subtracting 1 from the whole functional expression:

[tex]y=|\frac{1}{2} x-2|+3-1=|\frac{1}{2} x-2|+2[/tex]

Step-by-step explanation:

Do you mean (5-4)*(25) or 5-4(25)

(5-4) * (25)

= 5^2

Or

5-4(25)

=5 - 100

=-95

?

Answer:

Yes you are correct.

Step-by-step explanation:

The best way to check theese types of questions is go back in plug in X with your answer so 88+97+80+90(which is x)=360 then divide by 4 and get 90! So yes you are correct good job!

The line containing the vector q can be obtained by scaling q by an arbitrary scalar t. To make this line pass through the point p, translate this line by a vector p pointing from the origin to p.

So the line we want has equation

r(t) = qt + p = (14, -8)t + (-4, 12) = (14t - 4, 12-8t)

where t is any real number.

The Vector Equation which passes through point p(-4, 12) and parallel to q(14, -8) is r(t) = (14t-4, 12-8t).

A vector equation is an equation involving a linear combination of vectors with possibly unknown coefficients.

Here, the line containing the vector q can be obtained by scaling q by an arbitrary scalar t. To make this line pass through the point p, translate this line by a vector p pointing from the origin to p.

r(t) = q*t + p

r(t) = (14, -8)t + (-4, 12)

r(t) = (14t - 4, 12-8t)

where t is any real number

Thus, the Vector Equation which passes through point p(-4, 12) and parallel to q(14, -8) is r(t) = (14t-4, 12-8t).

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Answer:

so u could write about its teeth

Step-by-step explanation:

and its legs or its scary presence or its long arms and it erupted from a haunted house

hope this helps : )

i would appreciate it if you can heart and like this answer and maybe even give it 5 stars or brainliest

Answer:

its b.

Step-by-step explanation: 5n − 19 + n + 7 = 144 − 6n

6n − 12 = 144 − 6n

12n = 156

n = 13

m∠z = (144−6n)°

m∠z = (144−6×13)°

m∠z = 66°

Answer:

there are 25 nickels and 30 dimes

Answer:

1

Step-by-step explanation:

because the triangles are isosceles, that means that the area of Z is 5x5x1/2, which equals 12.5

the area of X is 4.5

the area of y is 8

(8+4.5)/(12.5) = 1

Answer:

Inverse proportion

Step-by-step explanation:

Inverse proportion: in this type of relation, two quantities proportion such that one decreases and other increases or vice-versa.

So, in the given question when the number of workers increases, time is taken for certain work decreases.

So, Inverse proportion is the correct answer.