Solve. Explain your answers in the box below.

a. Travis estimated the product of 602 and 341 to be 1,800. His work is shown below. Find and explain Travis's error.



600×300
6 hundreds × 3 hundreds =18 hundreds

600×300=1,800


b. Margaret said the exact product of 602 and 341 is 205,282. Is she correct? Use paper and the standard algorithm to support your reasoning.

Answer:

d = 404.8 feet

Step-by-step explanation:

We take our eyes off the road for about 4.6 seconds according to a recent study.

Speed, v = 60 mph

We need to find the distance travel by you with your eyes not on the road. Let it is d.

Speed, v = d/t

d = vt

We know that, 1 mile = 5280 feet

[tex]d=\dfrac{60\times 5280\ \text{feet}}{3600\ s}\times 4.6\ s\\\\=404.8\ \text{feet}[/tex]

Hence, the required distance is 404.8 feet.

Answer:

a(x - 3)(x - 2)

Step-by-step explanation:

[tex]a {x}^{2} - 5ax + 6a \\ \\ = a {x}^{2} - 3ax - 2ax + 6a \\ \\ = ax(x - 3) - 2a(x - 3) \\ \\ = (x - 3)(ax - 2a) \\ \\ = (x - 3)a(x - 2) \\ \\ = a(x - 3)(x - 2)[/tex]

The answer is 4,-3

Irfcdxsaacd d

Answer:

4,-3

Step-by-step explanation:

Answer:

1. Angle Bisector Theorem

(2x-1)/3x=9/15

15(2x-1)=9(3x)

30x-15=27x

3x=15

x=5

2. Triangles are similar so the ratio that relates them is 6/36=1/6 meaning the side length is 42x1/6=7 cm.

Answer:

Step-by-step explanation:

1. 6, ?, ?, ?,102

a0 =6

a1=?

a2=?

a3=?

a4=102

an= a0+n*d

a4= 6+ 4*d=102 so 4d= 102-6=96, so d=96/4=24

d=24

a1 = 6+24=30

a2 =30+24=54

a3 =54+24=78

Answer:

66.7

Step-by-step explanation:

hope this helps

Answer:

40 is 60% of 66.7

Step-by-step explanation:

By using the bowtie method, you can check as 40 multiplied by 100 equals 4,000. Then divide 4,000 by 60 to get 66.66666. Since you round to the nearest tenth, it'll be 66.7

hope this helps! =)

33480783

Finding the Common Ratio:

We know that the formula for the common ratio of a GP is:

r = aₙ / (aₙ₋₁)        (Where n is any integer)

replacing the values, taking n=2

r = -21 / 7

r = -3

Solving for the 15th Term:

We know that the Formula for the nth term of a GP:

G(n) = a * r ⁿ⁻¹     (where a is the first term and r is the common ratio)

replacing the values (taking n = 15 since we need the 15th term)

G(15) = 7 * (-3)¹⁴

G(15) = 33480783

Hence, the 15th term of the given GP is 33480783

Answer:

its B

Step-by-step explanation:

Answer:

It's A or B but I think B

Step-by-step explanation:

Answer:

8,030.4

Step-by-step explanation:

Answer:

$287.04

Step-by-step explanation:

add 39 and 9 multiply the sum by $23.90 and then multiply by two and boom, $287.04

Answer:

A= LMNO ≅ L'M'N'O'

Step-by-step explanation:

just did it trust me

A= LMNO ≅ L'M'N'O'. Hope this helps!!

Answer:

Step-by-step explanation:

A. (5,-4)

The vertex of the graph of the function is (5,-4).

The answer is option A.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To find the vertex of the function y = x² - 10x + 21,

We can use the formula:

x = -b/2a

where a is the coefficient of the x² term, b is the coefficient of the x term, and x is the x-coordinate of the vertex.

In this case,

a = 1 and b = -10, so:

x = -(-10)/(2 x 1) = 5

To find the y-coordinate of the vertex, we can substitute x = 5 into the function:

y = (5)² - 10(5) + 21 = -4

Therefore,

The vertex of the graph of the function is (5,-4).

Learn more about functions here:

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Answer:

b

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

4 in hundreds (400)

3 in ones (3)

2 in tenths (.2)

9 in hundredths (.09)

Answer:

8.5 or 8.50

Step-by-step explanation:

None for now

"Not putting it here"

The cost of the necklace before tax, for which Chris paid $9.18 including the sales tax of 8% is $8.5.

Percentage increase is the amount added to the initial value in the percentage part.

Chris paid $9.18 for a necklace. This amount includes a sales tax of 8%.

Let the cost of the necklace before tax is x dollars. Now, the 108% of the x is $9.18. Thus,

[tex]x\times\dfrac{100+8}{100}=9.18\\x=\dfrac{9.18\times100}{108}\\x=8.5[/tex]

Hence, the cost of the necklace before tax, for which Chris paid $9.18 including the sales tax of 8% is $8.5.

Learn more about the percentage increase here;

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Answer:

$16,525.53.

Step-by-step explanation:

A=Pe^rt

P=$12,000

r=0.04

t=8 years

Answer:

1000000/900000= 10/9= 1.1111111111*100=11.11%

Answer:

D

Step-by-step explanation:

Answer:

The probability is 31/35

Step-by-step explanation:

Answer:

350,000 add ten more zeros

Step-by-step explanation:

350,000¹⁰ 350,000 000,0000

Answer:

Yes, there is a proportional relationship. For every 6 pounds of apple sold, they make $13.50.

Answer:

5/25*100=

1/5*100=100+5=20

Answer:

$32.90

Step-by-step explanation:

You would need $32.90 to get travel by the taxi.

Answer:

1/10 of the days in September had rainfall more than 2 cm

Step-by-step explanation:

Use the information given:

Answer: the answer to this is x=0.5

Step-by-step explanation:

In order to solve this you have to combine the multiplied terms into a single fraction so its going to look like this -   34x/5 + 9.3= -9.4+3.4(2-5x)

The reposition your terms and put together your multiplied terms into a fraction,Once you have that done distribute them

Subtract 9.3 on both sides.you may simplify and then multiply all the terms with the same value to get rid of the denominators from the fractions

also add 85x to both sides then finally divide both side by the same term which get you -59.5/119 and then simplify and you get -0.5

so x= -0.5

Answer:

x=-0.5

Step-by-step explanation:

step 1

6.8x+9.3=-9.4+3.4(2-5x)

6.8x+9.3=-9.4+(3.4)(2)+(3.4)(-5x) distribute

6.8x+9.3=-9.4+6.8+-17x

6.8x+9.3=(-17x)+(-9.4+6.8) combine like terms

6.8x+9.3=-17x+-2.6

6.8x+9.3=-17x-2.6

step 2

add 17x to both sides.

6.8x+9.3+17x=-17x2.6+17x

23.8x+9.3=-2.6

step 3

subtract 9.3 from both sides.

23.8x+9.3-9.3=-2.6-9.3

23.8x=-119

step 4

divide both sides by 23.8

23.8x/23.8= -11.9/23.8

The answer is =-0.5

If a, b are real numbers and 7a + i(3a - b) = 14 - 6i, then find the values of a and b. Therefore, the value of a = 2 and the value of b = 12. 3.

The value of the variables 'a' and 'b' of the complex equation will be 2 and 12, respectively.

The complex number is the combination of the real part and the imaginary part. Then the complex number is given as a+bi where the value of i is √(-1) and the value of i² is -1.

The equation is given below.

7a + (3a - b)i = 14 - 6i

Compare the real part of the equation, then we have

7a = 14

a = 14 / 7

a = 2

Compare the imaginary part of the equation, then we have

3a - b = - 6

3 x 2 - b = -6

6 - b = - 6

b = 6 + 6

b = 12

The value of the variables 'a' and 'b' of the complex equation will be 2 and 12, respectively.

More about the complex number link is given below.

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Answer:

4 dollars per book

Step-by-step explanation: