A triangular pyramid has a height of 27 yards and a base with an area of 210 square yards.
What is the volume of the pyramid?

Step-by-step explanation:  20+10=30

30-22.68 =7.22

1 way to receive his change: 1 five dollar bill, 2 one dollar bills, 6 dimes and 8 pennies.

1 different way to receive his change : 7 one dollar bills, 13 nickels and 3 pennies.

[tex] \cos(42) = \frac{ RS}{3} \\ RS = 3 \times \cos(42) \\ RS = - 1.19[/tex]

1.19

Answer:

The numbers in decreasing order of their values are:

[tex]\cfrac{19}{3}>\sqrt{37}>6.08171...>6.012[/tex]

Step-by-step explanation:

Before actually comparing, we need to write all of those numbers in decimal form, that will be the only way to actually tell which one is bigger since you are already given numbers in decimal form.

Converting numbers in decimal form.

The first number we are given is [tex]\sqrt{37}[/tex], we know it is a bit higher than 6, since the square root of 36 is 6, so using a calculator we get

[tex]\sqrt{37}=6.0828[/tex]

The second number is a fraction, in decimal form will be:

[tex]\cfrac{19}{3}= 6.3333[/tex]

Writing the decreasing order.

Now that all numbers are in decimal form we can compare them and write them in decreasing order.

[tex]6.3333... > 6.0828...>6.08171...>6.012[/tex]

Lastly we can write the decreasing order using the numbers on their original form.

[tex]\cfrac{19}{3}>\sqrt{37}>6.08171...>6.012[/tex]

Answer:

D.=4.5 where is the number of cups of tomatoes in a batch of sauce

Step-by-step explanation:

t=cups of tomatoes

x=batch(es) of pasta sauce

Example:

The chef wants to know how many tomatoes he needs to make 2 batches of pasta sauce.

x=2

So 4.5x2=9

Answer for the example is 9

Answer:

X= -4

Step-by-step explanation:

Answer:

x=-4

Step-by-step explanation:

-8x+4=36

-8x=36-4

-8x=32

x=32/(-8)

x=-4

Answer:

90% chance that it's not yellow

Step-by-step explanation:

Since there is 1 yellow that mean that 9/10 marbles are a different color

9/10 as a percentage is 90%

Hope this helps and have a blessed day!

Answer:

length = 21

Step-by-step explanation:

P = 2L + 2W,   L = 3W

P = 2(3W) + 2W = 56

8W = 56

W = 7

L = 3W = 3(7) = 21

Answer: The answer to this math question about finding the length of the rectangle with the given perimeter of the rectangle is 21 feet.

Step-by-step explanation: Here are 5 steps in order to find the length of the rectangle with the given perimeter of the rectangle:

Step 1. Write the formula of the perimeter of the rectangle and unknown of the length of the rectangle that looks in the equation form like this: P = 2L + 2W, L = 3W.

Step 2. Substitute L into 3W that looks in the equation form like this: [tex]P = 2(3W) + 2W = 56.[/tex]

Step 3. Multiply 2 and 3W then add 2W together that looks in the equation form like this: [tex]8W = 56.[/tex]

Step 4. Divide both sides by 8 that looks in the equation form like this: [tex]W = 7.[/tex]

Step 5. Hence your answer to this math question about finding the length of the rectangle with the given perimeter of the rectangle is 21 feet that looks in the equation form like this: [tex]L = 3W = 3(7) = 21.[/tex]

I hope that my full given answer with my full given step-by-step explanation is very helpful to your own math question about finding the length of the rectangle with the given perimeter of the rectangle, please mark me as Brainliest, take care, always be safe, and have a great rest of the weekend, and also have a good night! :D

Sincerely,

Jason Ta,

The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.

Answer:

(0,0) (1,2) (2,4) (3,6)

(0,0) (1,2) (2,4) (3,6)

Answer:

(-5,0) & (9-14)

Step-by-step explanation:

and or subtract seven from both and... BOOM you got your answer

(-4, 7) would be the answer

A reflection of the point (4,7) over the line y=-x swaps and negates the x and y coordinates which leads to the new point being (-7,-4).

The image of the point (4,7) when reflected over the line y = -x is determined by essentially flipping the x and y coordinates of the original point and negating them.

This is because a reflection over the line y = -x swaps the x and y values and takes their opposite. Thus, the original point (4,7) would evolve into the point (-7,-4) after the reflection.

To break this down, the original x value was 4, and after reflection, this becomes -7 which is the new x-coordinate.

The original y value was 7, and after reflection, this becomes -4 which is the new y-coordinate. Therefore, the image of (4,7) after the reflection over the line y = -x is (-7,-4).

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Answer:

1.5c-7=n

Step-by-step explanation:

Answer:

The required expression is 1.5c-7

Step-by-step explanation:

Here, c represents the number of carnation bushes,

Since, the number of rose bushes is 7 less than 1.5 times the number of carnation bushes,

That is, the number of roses = 1.5c - 7

Hence, the required expression that represents the number of roses is 1.5c - 7.

Answer:

The center of the circle;

(2, -1)

The radius of the circle;

r = 4

Step-by-step explanation:

The first step is to complete the square on both x and y;

x^2 + y^2 -4x + 2y - 11 = 0

x^2 -4x +y^2 +2y = 11

We determine c1 to complete the square on x;

c1 = (b/2)^2

c1 = (-4/2)^2 = 4

We then determine c2 to complete the square on y;

c2 = (2/2)^2 = 1

The equation of the circle is then re-written as;

x^2 -4x + 4 +y^2 +2y + 1 = 11 +4 +1

We then factorize the expressions in x and y separately;

(x-2)^2 + (y +1)^2 = 16

The center of the circle is thus;

(2, -1)

The radius is the square root of 16;

r = 4

find the attached.

Answer:

Center at (-2, -1) and radius = 4

Step-by-step explanation:

We are given the following equation of a circle which we want to convert into the standard form:

[tex]x^2+y^2-4x+2y-11=0[/tex]

Note that

(x + a)² = x² + 2ax + a²

so that

x² + 2ax = (x + a)² - a²

So [tex]x^2+y^2-4x+2y-11=0[/tex]

[tex]x^2-4x+y^2+2y=11[/tex]

[tex](x-2)^2-2^2+(y+1)^2+1^2=11[/tex]

[tex](x-2)^2+(y+1)^2-5=11[/tex]

[tex](x-2)^2+(y+1)^2=16[/tex]

Therefore, this equation represents a circle with center at (-2, -1) and radius √16 = 4, as shown below.

Answer:

See below.

Step-by-step explanation:

Just like 18, continue with 19-21. Solve for x by rewriting each equation in log form.

[tex]e^x = 4.9\\\\x = ln 4.9\\\\x = 1.59[/tex]

When rewriting the form, the base of the exponent becomes the base of the log.

Answer:

0.8p or p - 0.2p

Step-by-step explanation:

You can find the price for any house minus the down payment by writing an expression with a variable. Let p be the price of the house. If you pay 20% then the price will be lowered by 20%. You will pay as your mortgage 80% of the price. You can write it as either the expression 0.8p or p - 0.2p.

Answer:

[tex]\large\boxed{(x-5)^2+(y+3)^2=16}[/tex]

Step-by-step explanation:

The standard form of an equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

We have the center (5, -3) and the radius r = 4. Substitute:

[tex](x-5)^2+(y-(-3))^2=4^2\\\\(x-5)^2+(y+3)^2=16[/tex]

The answer is C. is right

Answer:

C) (-4, 4]

Step-by-step explanation:

We have been given a graph of the function as shown in the picture. Now using that graph, we need to find the domain of the function and match with the given choices to find the correct domain.

Where given choices are :

A) [-4, 4)

B) [-4, 4]

C) (-4, 4]

D) (-4, 4)

Remember that we use ( or ) for open circle. and [ or ] for close circle.

Hence correct domain is

C) (-4, 4]

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ Slope = rise/run

rise=2

run=1

Final answer:

2/1 or 2

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

TROLLER

The slope of the line is 4/2, or 2/1, or 2 because if you find the rise over run, you will get either 4/2 or 2/1.

Answer: 1280

Step-by-step explanation:

It's simple multiplication, Hopefully this helps:) Mark me the brainliest:)!!!

* ∞ 234483279c20∞

Answer:

1280

Step-by-step explanation:

just multiply 80

16 time and your will get 1280.

another way is to use the 8 in 80 and multiply by 8s 16 time then and yall get 128 then add the 0 from 80 and that's how you'll get 1280

Answer:

[tex]2\sqrt{2}[/tex]

Step-by-step explanation:

Pythagorean Theorem

[tex]\sqrt{3^2-1^2}\\2\sqrt{2}[/tex]

Answer:

[tex]y + 1 = -\frac{2}{5}(x+5)[/tex]

and

2x + 15y = -15

Step-by-step explanation:

To write the point slope form, a point and a slope is required. Find the slope using the two points given and the slope formula.

[tex]m = \frac{y_2-y_1}{x_2-x_1}= \frac{-1 --7}{-5-10}= \frac{6}{-15} = -\frac{2}{5}[/tex]

Substitute -2/5 and the point (-5,-1) into the form. Then convert to make the standard form of the equation.

[tex]y - y_1 = m(x-x_1)\\y --1=-\frac{2}{5}(x--5)\\y + 1 = -\frac{2}{5}(x+5)[/tex]

Now convert to standard form by applying the distributive property and moving terms.

[tex]y + 1 = -\frac{2}{5}(x+5)\\y + 1 = -\frac{2}{5}x - 2\\y + 3 = -\frac{2}{5}x\\\frac{2}{5}x + y +3=0\\2x + 5y + 15 = 0\\2x + 15y = -15[/tex]

Answer:

[tex]\large\boxed{5g+5-2g+g+5h=4g+5+5h}[/tex]

Step-by-step explanation:

[tex]5g+5-2g+g+5h\qquad\text{cobine like terms}\\\\=(5g-2g+g)+5+5h=4g+5+5h[/tex]

Answer:

I would say its true

Step-by-step explanation:

Answer: [tex]x_1=2\\\\x_2=-\frac{1}{2}[/tex]

Step-by-step explanation:

To find the zeros of the quadratic equation given in the exercise, you need to apply the proccedure shown below:

- You must rewrite it as following:

[tex]6x^2-9x-6=0[/tex]

-You can apply the Quadratic formula, which is shown below:

[tex]x=\frac{-b\±\sqrt{b^2-4c}}{2a}[/tex]

In this case:

[tex]a=6\\b=-9\\c=-6[/tex]

- Therefore, when you substitute values, you obtain:

[tex]x=\frac{-(-9)\±\sqrt{(-9)^2-4(6)(-6)}}{2(6)}[/tex]

[tex]x_1=2\\\\x_2=-\frac{1}{2}[/tex]

Answer:

(-5;-8)

Step-by-step explanation:

-6y-63-7y=41

-13y=104

y=-8

x=-2*-8-21=-5

The solution is

The value of x = -5

The value of y = -8

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the equation A is

3x - 7y = 41   be equation (1)

x = -2y - 21   be equation (2)

Now , substitute the value of equation (2) in equation (1) , we get

3x - 7y = 41

3 ( -2y - 21 ) - 7y = 41

On simplifying the equation , we get

-6y - 63 - 7y = 41

Adding 63 on both sides of the equation , we get

-13y = 104

Divide by -13 on both sides of the equation , we get

y = -8

So , the value of y = -8

Substitute the value of y in equation (2) , we get

x = -2y - 21

x = - 2 ( -8 ) - 21

x = 16 - 21

x = -5

So , the value of x = -5

Therefore , the value of x is -5 and y is -8

Hence ,

The value of x = -5

The value of y = -8

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Answer:

54

$3 dollar coupons were given

Step-by-step explanation:

We can represent this question as a system of equations

Let

x = number of $1 dollar coupons

y = number of $3 dollar coupons

z = number of $5 dollar coupons

Twice as many $1 coupons were given out as $3 coupons,

x = 2*y

3 times as many $3 coupons were given as $5 coupons.

y = 3*z

The total value of all the coupons given out was $360

x*$1 + y*$3 + z*$5 = $ 360

The system results

x   -   2y   +  0    =  0         (1)

0   +  y     -  3z    = 0         (2)

x    + 3*y      +5*z =   $ 360    (3)

We substitute  equation (2) and (1) into (3)

(2y)   + 3*y    + 5*(y/3) =   $ 360

20*y/3  = 360

y = 54

To determine the number of $3 coupons given out by the bakery, we solved the equation 5x + 3(3x) + 1(2(3x)) = $360, where x represents the number of $5 coupons. We found that x = 18, and since there are three times as many $3 coupons as $5 coupons, the bakery gave out 54 $3 coupons.

The question involves solving a system of linear equations to determine how many $3 coupons were given out by the bakery. Let's define the variables first:

Based on the given information, we can set up the following equations:

Now let's solve the equation:

Once we have x, we know that the number of $3 coupons is 3 times x, so:

3x = 3(18) = 54

Therefore, 54 $3 coupons were given out by the bakery.

Answer:

[tex]y=-\frac{3}{5} x+6[/tex]

Step-by-step explanation:

Lets solve the equation [tex]3x+5y=30[/tex] for [tex]y[/tex] step-by-step:

Step 1. Subtract [tex]3x[/tex] from both sides of the equation

[tex]3x+5y=30[/tex]

[tex]3x-3x+5y=-3x+30[/tex]

[tex]5y=-3x+30[/tex]

Step 2. Divide both sides of the equation by 5

[tex]\frac{5y}{5} =\frac{-3x+30}{5}[/tex]

[tex]y=\frac{-3x+30}{5}[/tex]

[tex]y=-\frac{3}{5}x+\frac{30}{5}[/tex]

[tex]y=-\frac{3}{5} x+6[/tex]

We can conclude that the equation that can be used for solve for [tex]y[/tex] is [tex]y=-\frac{3}{5} x+6[/tex]

Answer:

y = -3x/5 + 6

Step-by-step explanation:

Given the equation 3x+5y = 30, to find the equation that can be used to solve for y, we will have to make y the subject of the formula from the given linear equation to have;

3x + 5y = 30

First we will subtract 3x from both sides of the equation to have;

3x+5y-3x = 30-3x

5y = 30-3x

Dividing both sides of the equation by the coefficient of y which is 5 we will have;

5y/5 = 30/5-3x/5

y = 6-(3x/5)

y = -3x/5 + 6

Answer:

P(15, 10)

Step-by-step explanation:

By definition;

[tex]nC_r=\binom{n}{r}=\frac{n!}{(n-r)!r!}[/tex]

and

[tex]nP_r=\binom{n}{r}=\frac{n!}{(n-r)!}[/tex]

This implies that;

[tex]15P_{10}=\binom{15}{10}=\frac{15!}{(15-10)!}=\frac{15!}{5!}[/tex]

[tex]15C_{10}=\binom{15}{10}=\frac{15!}{(15-10)!10!}=\frac{15!}{5!10!}[/tex]

[tex]15C_{5}=\binom{15}{5}=\frac{15!}{(15-5)!5!}=\frac{15!}{5!10!}[/tex]

Answer:

Step-by-step explanation:

Order the data from least to greatest

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

Find the median.

3+3=6/2=2

Calculate the median of both the lower and upper half of the data.

Lower: 2+2=4/2=2. Upper: 4+5=9/2=4.5

The IQR is the difference between the upper and lower medians.

4.5 - 2= 2.5

Answer:

$541.63

Step-by-step explanation:

To find the balance of Gurindas, we need to break down our values.

Checking Balance = $532.14

Checks = $-46.19 + $-138.32 = $-184.51

Deposit =  $200

Service Charge = $-6

Now to find her new balance, we simply add them all together.

New Balance = 532.14 + -184.51 + 200 + -6

New Balance = $541.63