solve system by elimination
6.
2x + 5y = 14
4x + 2 y = -4
​

Answer:

16 cards were left in the stack.

Step-by-step explanation:

27 to begin with + 6 that Cate added - 10 that Elena took - 7 that Cate took.

27 + 6 - 10 - 7 = 16

SOLUTION

Now from the question,

Probability that a German child recognized SpongeBob is 92% and

Probability that a German child recognized Squidward is 83%

So, Probability (SpongeBob and Squidward) becomes

Hence the answer is 0.7636 rounded to four decimal places.

Answer:

comparing the means of three or more groups

Step-by-step explanation:

Answer:

2^-6

Step-by-step explanation:

(1/8)^2 = (2^-3)^2 = 2^-6

Answer:

\( - \frac{5 + 5 \sqrt{3} }{2} \)

Option A is the correct option.

Solution,

Multiply and divide by its conjugate.

\( \frac{5}{1 - \sqrt{3} } \times \frac{1 + \sqrt{3} }{1 + \sqrt{3} } \\ = \frac{5(1 + \sqrt{3)} }{(1 - \sqrt{3} )(1 + \sqrt{3)} } \\ = \frac{5 + 5 \sqrt{3} }{ {(1)}^{2} - { (\sqrt{3}) }^{2} } \\ = \frac{5 + 5 \sqrt{3} }{1 - 3} \\ = \frac{5 + 5 \sqrt{3} }{ - 2} \\ = - \frac{5 + 5 \sqrt{3} }{2} \)

hope this helps...

Good luck on your assignment..

Answer:

Answer is d=9t.

Step-by-Step:

4.5/.5=9

6.75/.75=9

13.5/1.5=9

Answer:

Step-by-step explanation:

Use the formula for area of a circle

A = \(\pi r^{2}\)

The diameter is 8ft, if there was only a line from the middle to the edge of the circle, then it would be radius

The radius is half the diameter so divide 8 by two and you get the radius

Plug in the radius into the formula

A = \((4ft)^{2} \pi\)

the parenthesis indicate you aren't only squaring the ft, but also the 4

4ft * 4ft = 16\(ft^{2}\)

(remember you are also multiplying the unit, in this case feet)

A = \(16ft^{2} \pi\)

there aren't parenthesis here, meaning you aren't squaring the 16

A = 50.24\(ft^{2}\)

Answer:

$49950

Step-by-step explanation:

you do 45000(.11) which equals 4950. and then you add 4,950 to 45000, and then you get your answer

Answer:

12/c= 3/2

c = 3/2×12

c = 18

Hope it helps!

Answer:

c = 8

Step-by-step explanation:

Here we are solving for c in the equation 12/c=3/2

We can use our basic multiplication rules to figure this one out.

12 / 3 is 4, meaning four multiples of 3 go into 12. This means, four multiples of 2 go into c.

4 * 2 = 8, giving us our value for C.

To verify this, we can simplify 12/8 and would still end up with 3/2.

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Answer:

11 feet wide

Step-by-step explanation:

Answer:

X=2Y

Step-by-step explanation:

The equation of line is y= 1/2x whose slope is 1/2.

Given graph, take two coordinates form the graph as (4 , 2) and (8, 4).

Using the formula to calculate the slope of line as

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

So, Change in y- coordinate= 4 -2 = 2

and, Change in x- coordinate= 8-4= 4

Then, substitute the value into into the slope formula as

Slope = 2 /4

slope = 1/2.

Now, using slope intercept form

\({\text} (y- y_1) =\) \({\text} m (x-x_1)\)

where m is the slope.

So, substitute the value \(y_1 = 2 \;and \;x_1= 4\) into into the formula as

(y - 2) = 1/2 (x - 4)

y- 2 = 1/2x - 2

y= 1/2x -2 +2

y= 1/2x

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Answer:

5

Step-by-step explanation:

Because if you divide them all you see that in 5 you don't get a whole number

The matrix must have pivot columns. Otherwise, the equation Ax = 0 would have a free variable, in which case the columns of A would not span R5. Therefore, the correct answer is C.

A pivot column is a column of the matrix that has a non-zero entry in the pivot position and all entries below the pivot are zero. In row echelon form, every row below a pivot column has a zero in the corresponding position. The pivot columns correspond to the linearly independent columns of the original matrix and the number of pivot columns determines the rank of the matrix.

The rank of a matrix is defined as the number of linearly independent columns or rows in the matrix. If the columns of a matrix span Rn, then the rank of the matrix must be equal to n. This means that the matrix must have n linearly independent columns. To ensure that the columns of A span R5, A must have at least 5 pivot columns. If A had fewer pivot columns, then the equation Ax = 0 would have a non-trivial solution, meaning that the columns of A would not be linearly independent and would not span R5.

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The area of the square is \(42\frac{1}{4}\) square inches, Uncle Bill's age is 44 years and the cups used by Sally to make 4 batches of cookies is 14.

According to the question,

We have the following information:

3. The side of square = \(6\frac{1}{2}\) inches

Now, we will convert this from mixed fraction to simple fraction.

So, we have:

The side of square = 13/2 inches

Area of square = side*side

Area of square = 13/2 * 13/2

Area of square = 169/4 square inches

Area of square = \(42\frac{1}{4}\) square inches

2. Jim is 8 years old. Uncle Bill's age is \(5\frac{1}{2}\) times of Jim's age.

So, we have:

Uncle Bill's age = (11/2)*8

Uncle Bill's age = 11*4 years

Uncle Bill's age = 44 years

1. Sally uses \(3\frac{1}{2}\) cups for making 1 batch of cookies.

Now, the cups required to make 4 batches of cookies = (7/2)*4

The cups required to make 4 batches of cookies = 7*2

The cups required to make 4 batches of cookies = 14

Hence, the answers to be written in the given boxes are for 3, we have \(42\frac{1}{4}\), for 2 we have 44 and for 1 we have 14.

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Answer:

It’s simple

Step-by-step explanation:

You first would add -3 and 3 and get zero

then divide 0 by 4 and get zero again

then subtract 0 by 4 (0 -4) and get -4

The plane will reach an altitude of 21,000 feet approximately 29.2 minutes after lift off. Rounded to the nearest whole minute, the plane will be at an altitude of 21,000 feet 37 minutes after lift off.

To determine the number of minutes after lift off when the plane reaches an altitude of 21,000 feet, we need to solve the equation a = 21,000, where "a" represents the altitude in feet. By substituting the altitude value into the equation and solving for the variable, we can find the number of minutes.

The given equation represents the altitude "a" of the plane in feet, given by a = 3480 + 600t, where "t" represents the time in minutes after lift off. We need to find the number of minutes when the plane is at an altitude of 21,000 feet.

By substituting a = 21,000 into the equation, we have:

21,000 = 3480 + 600t

To isolate "t," we subtract 3480 from both sides:

21,000 - 3480 = 600t

Simplifying, we get:

17,520 = 600t

Dividing both sides by 600, we find:

t = 29.2

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The required reference angle of angle 192 is 12. OPtion C is correct.

Given that,
An angle of 192°
Reference angle to be determined.

The angle can be defined as the one line inclined over another line.
Angel over angle is of 360° and angle over line is 180°

The function in mathematics to operate and diagnose the function to make the function simple or more coherent is called simplifying and the process is called simplification.

Since in the question, An angle is given of 192° its corresponding and relatable angle is to be determined.

Here, a standard measure of an angle is 180, So let the reference angle b x, for reference angle the angle must be more or less than 180. So,

x = 192 - 180
x = 12

Thus, the required reference angle of angle 192 is 12. Option C is correct.

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Answer:

I think option (D) 4 is correct

Answer:

Step-by-step explanation:

E D G E

We can simplify the expression by combining terms and simplifying further based on any specific values of u or 1.

To express the trigonometric expression cot(sin(1u)) cot(sin(1]) as an algebraic expression in u, we need to apply trigonometric identities and simplify it.

Let's start by using the identity cot(x) = 1/tan(x):

cot(sin(1u)) cot(sin(1]) = (1/tan(sin(1u))) (1/tan(sin(1]))

Next, we'll use the identity tan(x) = sin(x)/cos(x) to rewrite the tangents in terms of sine and cosine:

= (1/(sin(1u)/cos(1u))) (1/(sin(1)/cos(1]))

Simplifying further, we can multiply the reciprocals:

= (cos(1u)/sin(1u)) (cos(1)/sin(1))

Now, let's use the identity sin(2x) = 2sin(x)cos(x) to express the sines and cosines in terms of sine of half-angles:

= (cos(1u)/(2sin(1/2u)cos(1/2u))) (cos(1)/(2sin(1/2)cos(1/2)))

= (cos(1u)/2sin(1/2u)cos(1/2u)) (cos(1)/2sin(1/2)cos(1/2))

Since cos(x)cos(y) = (1/2)[cos(x+y)+cos(x-y)], we can use this identity to simplify the expression further:

= (cos(1u)/2sin(1/2u)(1/2)[cos(1/2+1/2u)+cos(1/2-1/2u)]) (cos(1)/2sin(1/2)cos(1/2))

= (cos(1u)/4sin(1/2u)[cos(1/2+1/2u)+cos(1/2-1/2u)]) (cos(1)/2sin(1/2)cos(1/2))

Now, we can simplify the expression by combining terms and simplifying further based on any specific values of u or 1.

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Using the greatest common factor, it is found that the greatest number of cards that she can place in a row is of 14.

The number of cards for each family is given as follows:

We want to find a way to distribute them having the same number of cards in each row, hence this is possible finding the greatest common factor (GCF) of the numbers of 154 and 140.

The GCF is found factoring both numbers 154 and 140 simultaneously by prime factors, as follows:

154 - 140|2 (both 154 and 140 are divisible by 2).

77 - 70|7 (both 77 and 70 are divisible by 11).

11 - 7

There are no numbers for which both 11 and 7 are divisible by, hence the greatest number of cards that she can place in a row is:

gcf(154, 140) = 2 x 7 = 14.

The complete problem is:

April is arranging place cards for a wedding reception on a table. The bride's family has 154 cards and the groom's family has 140 cards. She wants the arrangements for the two families to have the same number of cards in each row. What is the greatest number of cards that she can place in a row?

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The approximate volume of the larger candle is 244 cubic centimeters.

To find the volume of the larger candle, we need to compare the side lengths of the smaller and larger candles. Let's denote the side length of the smaller candle as "s."

According to the information given, the side length of the larger candle is five-fourths (5/4) as long as the side length of the smaller candle. Therefore, the side length of the larger candle can be calculated as (5/4) * s.

The volume of a square pyramid is given by the formula V = (1/3) * s^2 * h, where s is the side length of the base and h is the height.

Since both the smaller and larger candles have the same shape, their volume ratios will be equal to the ratios of their side lengths cubed.

Let's substitute the values into the volume ratio equation:

(125 / V_larger) = (s_larger / s_smaller)^3

Given that V_smaller = 125 cubic centimeters, we can rewrite the equation as:

(125 / V_larger) = ((5/4) * s_smaller / s_smaller)^3

Simplifying the equation:

(125 / V_larger) = (5/4)^3

Calculating (5/4)^3:

(125 / V_larger) = (125 / 64)

Cross-multiplying the equation:

125 * 64 = V_larger * 125

Solving for V_larger:

V_larger = (125 * 64) / 125

Approximating the value:

V_larger ≈ 64 cubic centimeters

The approximate volume of the larger candle is 244 cubic centimeters, rounded to the nearest cubic centimeter

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question says.

answer is

0.21

Answer:

1/4x=8 which also equals 32

Step-by-step explanation:

12-4=8

5/8-3/8=2/8=1/4

1/4x=8   then you would multiple each side by 4 to cancel out and 4*8=32

The measurement of side AC in the given right triangle is 10.12 units.

A triangle having at least one angle measuring 90° is called a right triangle.

Given that, a triangle ABC, right-angled at A,

AB = 15 and BC = 18.1, we need to find AC,

Please refer to the figure attached,

Using Pythagoras theorem,

BC² = AB² + AC²

AC² = BC² - AB²

AC² = (18.1)² - 15²

AC² = 327.61 - 225

AC² = 102.61

AC = 10.12

Hence, the value of AC = 10.12

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Answer:

C. 3.5 miles

Step-by-step explanation:

1 mile =1760 yards

Using the conversion factor

6160 yds  * 1 mile/ 1760 yds = 6160/1760 miles = 3.5 miles

Answer:

6.666 percent recurring can be rounded to 6.67

Step-by-step explanation:

Answer:

Step-by-step explanation: