Barbara used the distributive property to write an expression that is equivalent to 7 d 63. Her work is shown below. The greatest common factor is 7 so 7 d 63 = 7 (d 63) What was Barbara’s error? Barbara wrote (d 63) instead of 63 d). Barbara wrote (d 63) instead of (d 9). Barbara wrote (d 63) instead of (d 56). Barbara wrote (d 63) instead of (10 d).

Answer:

x= 4.5

Step-by-step explanation:

P= 2(l + w)

36 = 2(4x-6)+12

36 = 8x - 12 +12

x = 36/8

=4.5

Answer:

Equation: 4x - 6 = 6            x = 3

Step-by-step explanation:

A rectangle is a parallelogram, which means that opposite sides are parallel.  This means that both of the short sides equal 12.  12 plus 12 is 24, so substract 24 from 36 to get 12.  This means that the sum of the long sides are 12; half of 12 is 6 so that is the length of one of the sides.  This means that you can set the equation 4x - 6 equal to 6.  Add 6 to both sides to get 4x = 12, then divide both sides by 4 to get x = 3.  I think your equation should be 4x - 6 = 6, and x equals 3.  

Sorry if I'm wrong, if I'm right then that picture of the rectangle is really misleading.  

The difference in volume between the two pyramids is 12,371,740 cubic feet.

To find the volume of a square pyramid, you use the formula :

V = (1/3)Bh, where B is the area of the base and h is the height.

Using the dimensions given in the table, we can calculate the volumes of the two pyramids:

- Volume of Bent Pyramid = (1/3)(619 feet * 619 feet)(332 feet) = 26,384,053.33 cubic feet
- Volume of Red Pyramid = (1/3)(722 feet * 722 feet)(341 feet) = 38,755,793.33 cubic feet

To find the difference in volume between the two pyramids, we subtract the smaller volume from the larger volume:

38,755,793.33 - 26,384,053.33 = 12,371,740 cubic feet.

Rounding to the nearest cubic foot, the difference in volume between the two pyramids is 12,371,740 cubic feet.

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Answer:

Monica = 48.50

Samuel = 24.25

Kara = 17.25

Step-by-step explanation:

First you write equations as you are reading the text:

m = 2s ("Monica earned twice as much as Samuel")

s = k+7 ("Samual earned 7 more than Kara")

m = 48.50

Next, you convert these equations to solve for s and k respectively.

So, if m=2s, then s=m/2:

s = m/2 = 24.25

Likewise, if s=k+7, then k=s-7

k = s-7 = 17.25

The difference between greatest and least is 48.50 - 17.25 = 31.25

$15000+$720 = $15720

由于 1 美元等于 6.4 人民币，我们可以将 15720 乘以 6.4 得到正确结果：

100568¥

本题已由中国数学会官方解答（现有会员：2人）

The triangle congruence theorem that proves triangle KLM and XYZ are congruent is the AAS Congruence Theorem.

The AAS (Angle-Angle-Side) Congruence Theorem states that if two triangles have two corresponding angles and a corresponding side that are congruent, then the triangles are congruent.

By observation, the angle L corresponds to the angle Y, and the angle M corresponds to the angle Z, Also the side KM corresponds to the side XM.

In conclusion, the congruence theorem that proves triangle KLM and XYZ are congruent is the AAS Congruence Theorem.

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Answer:

\(F = ( \frac{9}{5}C ) + 32\)

with F = xF and C = xC

=> f(x) = (9/5)x + 32

I'm sorry I can't mark the degree symbol

Step-by-step explanation:

\(f(x) = \frac{5}{9}(x-32) \\xC = \frac{5}{9}(xF-32) \\xC * \frac{9}{5} = \frac{5}{9}(xF-32) * \frac{9}{5} \\xC * \frac{9}{5} + 32 = xF - 32 + 32 \\\\xC * \frac{9}{5} + 32 = xF\)

Answer:

-18

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Parentheses first so

7-10=-3

then the brackets

-2-3-15=-20

-4-20=-24

so thats the numerator

the denominator is

2(-1)=-2

-20/-2= ?

We can remove the negative because two negatives make a positive then we would divide by 2

20/2=10

and that's our answer! :)

Answer: (12+5)+2

Step-by-step explanation:

12+5=17

17+2=19

Answer:

12+(5+2)

Step-by-step explanation:

you must do 5 plus 2 first because you are adding 12 to their product. which is the answer to an addition problem. so you are given...

The length of the QR is 16 cm when PQR ~MNO

In the given question, it is given that two similar triangles as PQR ~MNO

Then, the corresponding sides will be in equal proportion to each other as follows

PQ / MN = PR / MO = QR / NO

We need to find the length of the side QR

As above relations are given,

\(\frac{PQ}{MN}\) = \(\frac{PR}{MO}\) = \(\frac{QR}{NO}\)

\(\frac{30}{10}\) = \(\frac{5x + 7}{x+5}\) = \(\frac{4x}{\frac{16}{3} }\)

Equating all the fractions, equal to each we'll find

\(\frac{5x + 7}{x+5}\) = \(\frac{30}{10}\)

5x + 7 = 3(x +5)

5x + 7 = 3x + 15

2x = 8

x = 4

We know that, the length of the QR = 4x cm = 4 x 4 cm = 16 cm

Therefore, the length of the QR is 16 cm when PQR ~MNO

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Answer:

3/4

Step-by-step explanation:

Answer:

i think its 40

Step-by-step explanation:

Answer:

Its 30

Step-by-step explanation:

Its a right triangle which equals 90 so,

90-60=30

Answer:

66°

Step-by-step explanation:

x+114°=180°

x+114°-114°=180°-114°

x=66°

The direction of the velocity of the plane relative to the ground is 68.2° west of south.

To find the direction of the velocity of the plane relative to the ground, we can break down the pilot's flight into horizontal and vertical components.

Let's first determine the distance traveled by the plane in the 2.00-hour time frame. Since the plane flies at an airspeed of 163 km/h, the total distance traveled is 163 km/h * 2.00 h = 326 km.

The horizontal component of the plane's velocity is 326 km (the distance traveled) - 29.4 km (the displacement due west) = 296.6 km. This horizontal component represents the effect of the wind pushing the plane westward.

To determine the vertical component, we can use the Pythagorean theorem. The total displacement of the plane can be found as the square root of [(333 km)^2 - (29.4 km)^2] = 332.65 km. Therefore, the vertical component of the displacement is 332.65 km * sin(20.0°) = 113.57 km.

Now we can find the angle of the velocity relative to the ground using trigonometry. The angle θ is given by the arctan(113.57 km / 296.6 km) = 21.8°.

However, since the question specifies that a positive angle indicates north of east and a negative angle indicates west of south, we find that the angle is actually -68.2°.

Therefore, the direction of the velocity of the plane relative to the ground is 68.2° west of south.

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Let's start on Friday's temperature, the problem says that it was -7°F and it was half of the temperature on Thursday, which means on Thursday is was:

-7*2 °F = -14°F.

On Thursday, the temperature was 8°F higher than on Wednesday, then on Wednesday it was:

-14°F - 8°F = -22°F.

On Wednesday the temperature was twice as low as for Tuesday, then on Tuesday it was:

-22°F/2 = -11°F.

On Tuesday, the temperature was 6°F colder than on Monday, then on Monday it was:

-11°F + 6°F = -5°F.

Therefore, the recorded temperature for Monday was -5°F.

Answer:

The answer is

\(y = \frac{7}{2}x - 600\)

Step-by-step explanation:

Formula:

\(y = mx + b\)

We first need to find the slope:

\( m = \frac{25 - 200}{50 - 100} = \frac{ - 175}{ - 50} = \frac{7}{2} \)

Now we need to find the y-intercept:

y = mx + b (substitute)

100= 7/2(200) + b

100 = 700 + b

-700=-700

-600 = b

Using the information we now have:

\(y = \frac{7}{2}x \: - 600\)

Answer:

b. 0.225

Step-by-step explanation:

tan = opposite / adjacent

opposite of A is 9

adjacent of A is 40

9/40=0.225

The value of the function at x = 4 is 8.79.

Tangent line approximation is the approximation of any function using a linear function. It is also called as linear approximation.

It allows us to approximate the value of a general function with a more simpler linear function.

Given that,

f(1) = 2

f'(x) = \(\sqrt{x^{2} +2cos x + 3}\)

We have the formula for linear approximation as,

f(x) = f(a) + f'(a) (x - a)

Here x = 4 and a = 1

f(a) = f(1) = 2

f'(a) = f'(1) = \(\sqrt{1^{2} +2cos 1 + 3}\) = 2.254

Substituting,

f(4) = 2 + (2.254) (4 - 1)

     = 8.762 ≈ 8.79

Hence the value of f(4) is 8.79.

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Answer:

Step 2

Step-by-step explanation:

Step 1: Find the total points needed to score in six games: 96 times 6 = 576.

Step 2: Find the total points scored: 92 + 110 + 85 + 78 = 365.

WRONG

Step 1: Find the total points needed to score in six games: 96 times 6 = 576.

Step 2: Find the total points scored: 92 + 110 + 85 + 78 + 96 = 461

Step 3: Subtract the total points scored from the total points needed: 576 minus 461 = 115

Step 4: State the answer: Brenda needs to score 115 in her next game.

Therefore,

Brenda make her first mistake in step 2

Answer:

the answer is Step 2

Step-by-step explanation:

the answer is Step 2

Colton has $67,696 in a savings account that earns 2% interest per year. The interest is not compounded. How much interest will he earn in 1 year?​

we know that

2%=2/100=0.02

so

To find out the amount of interest, multiply the total amount by the percentage in decimal form

(67,696)*0.02

Answer:

$ 8.45

Step-by-step explanation:

3.85 * 3 = 11.55

20 - 11.55 = 8.45

Answer:

The correct option is;

3. aₙ = 95 + (n - 1)·(-95)

Step-by-step explanation:

From the question, we have;

The account balance below which a fee is charged = $100

The balance in Zane's bank account for the four days are;

95.00, 89.50, 84.00, 78.50

Therefore, we have the first term of the series, a = 95.00

The common difference are;

78.50 - 84.00 = -5.5

84.00 - 89.50  = -5.5

89.50 - 95.00  = -5.5

Therefore, the common difference is -5.5

The arithmetic sequence is therefore, aₙ = 95 + (n - 1)(-5.50)

Answer:

the answer is :  an=95+(n-1)(-5.50)

Answer:

diameter(d)=8 in.

radius(r)= d/2= 4 in.

height(h)= 3r = 3(4) = 12 in.

Volume=r ² h

          =(3.14)(4)²(12)

          =(3.14)(16)(12)

          =602.88 in.

      Therefore, the volume of the cylinder is 602.88 in.

Step-by-step explanation:

Therefore, Option (a) is the correct relationship between the measures of the angles of the two triangles. This is because triangle ABC is transformed to A'B'C' by a rigid motion such as rotation, reflection, or translation in which all the angles and sides of ABC and A'B'C' are preserved.

Triangle ABC is transformed to triangle A′B′C′. So, the relationship between the measures of the angles of the two triangles is given as follows:

The measure of angle ABC = The measure of angle B prime C prime A prime. So, option (a) is correct. Option (b) and (d) are false, and Option (c) is also false as the measures of angles are not consistent. .

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The approximate radius of the bike wheel is 11.0 inches.

If a bike wheel covers a total of 69.08 inches after one complete rotation, we can use the formula for the circumference of a circle to find the approximate radius of the bike wheel.

Circumference = 2piradius

where pi is approximately 3.14.

We are given that the circumference is 69.08 inches, so we can plug in these values and solve for the radius:

69.08 = 23.14radius

Dividing both sides by 2*pi, we get:

radius = 69.08 / (2*3.14) ≈ 11.0 inches

Therefore, the approximate radius of the bike wheel is 11.0 inches.

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Step-by-step explanation:

9+b>-3

b>-3-9

b>-12

any number greater than -12 will result in an answer greater than -3

Answer:

34.65

Step-by-step explanation:

Answer:

34.65

is the correct answer.

The inequality that shows a possible range in the dimensions of the rectangle is:

0 < w ≤ 8, 16 ≤ l

What is inequality?

Inequality is a mathematical statement that compares two quantities or expressions, indicating that they are not equal. In inequality, the two sides are connected by a relational symbol such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).

Let's use the given information to express the length and width of the rectangle in terms of the width:

The width (w) of the rectangle is half of its length (l): w = 0.5l

The perimeter of the rectangle is the sum of the lengths of all four sides: P = 2(l + w) = 2(l + 0.5l) = 3l

We are told that the perimeter of the rectangle is at least 48 inches, so we can write:

3l ≥ 48

Solving for l:

l ≥ 16

Using the relationship between the length and width, we can write:

w = 0.5l ≤ 8

So the possible range for the width is:

0 < w ≤ 8

Therefore, the inequality that shows a possible range in the dimensions of the rectangle is:

0 < w ≤ 8, 16 ≤ l

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Answer:

x=12

Step-by-step explanation:

divide by 4 on both sides

the solution to the equation is x = 12.

To solve the equation 4x = 48,

we need to isolate the variable x.

We can do this by dividing both sides of the equation by 4.

4x / 4 = 48 / 4

When we divide 48 by 4, we get 12.

So, 4x = 48 simplifies to x = 12.

Therefore, the solution to the equation is x = 12.

This means that if we substitute 12 for x in the equation 4x, we get

4 multiplied by 12, which equals 48, satisfying the original equation.

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Answer:

The quadratic equation x2 + 8x + 16 = 0 is a perfect square trinomial, which means it can be factored as (x+4)²=0. Therefore, the nature of the quadratic equation is a perfect square trinomial, and it has one real root with a multiplicity of 2.

The quadratic equation x2 - 24x + 144 = 0 can be factored as (x-12)²=0, which is also a perfect square trinomial. Therefore, the nature of the solutions is a perfect square trinomial, and it has one real root with a multiplicity of 2.

The quadratic equation x2 - 25 = 0 can be factored as (x+5)(x-5)=0, which means it has two real roots: x=5 and x=-5.

The quadratic formula determines the solutions to the quadratic equation in terms of its coefficients. The formula is x = (-b ± √(b²-4ac)) / (2a), where a, b, and c are the coefficients of the quadratic equation ax² + bx + c = 0.

The roots of the quadratic equation 2x2 + 5x + 3 = 0 can be found by factoring it as (2x+3)(x+1)=0, which means the roots are x=-3/2 and x=-1.

Step-by-step explanation: