Yuan wrote 17 letters to friends each month for x months in a row. Write an expression to show how many total letters Yuan wrote.

Answer:

Below in bold.

Step-by-step explanation:

3x + y = -1

2x + y=0

Subtract to eliminate y:

3x - 2x + y - y = -1 - 0

x = -1

So, substituting for x in the first equation;

3(-1) + y = -1

y - 3 = -1

y = 2.

The solution is the ordered pair (-1, 2).

The system is a pair of straight lines which intersect at the point (-1, 2).

Answer:

The answer is b

Step-by-step explanation:

During the 8-9 , Mr hare travel 40miles

For the time 9 onwards they travel concurrently,

Let x be the distance covered by both since they can only meet if they covered the sams distance,

x/50 = x/40 -1 ,where the 1 is the (8-9) 1 hr

x/40 - x/50 = 1

x = 200

Time take by Mr Hare = 200/ 40 = 5

from 8 add 5 hours will be 1

Note, i took this answer from an answer from another answer.

Answer:

292.6

Step-by-step explanation:

Answer:

6x+20 cm

Step-by-step explanation:

-formula : perimeter of rectangle=2(L+W)

L=2x+10  W=x

2(2x+10+x)

=2(3x+10) *distribute 2 on 3x ,10*

=6x+20 cm

Answer:

1. vertical angles

2. Adjacent angles

3. Supplementary angles

Step-by-step explanation:

Answer:

the answer is

[tex] {3}^{5} [/tex]

Answer:

Remainder is 93

Step-by-step explanation:

Use synthetic division:

-9 | 1   -1    3

____ -9   90

     1 -10 | 93

Therefore, the remainder is 93

Answer:

x=65

Step-by-step explanation:

y= 23213

Answer:

0.1536

Step-by-step explanation:

This is a binomial probability distribution with 2 successes in 4 trials.

The chance of a success is 1/5 =  0.2.

So there needs to be 2 successes and 2 failures in the 4 plays.

Reqd. Probability is 4C2*(0.2)^2(0.8)^2

= 0.1536.

Answer:

-3

Step-by-step explanation:

Substitute the value of 11 into x within the function so it would be f(11) = 1/4(5-11)2 which is - 3.

Answer:

6% a year

Step-by-step explanation:

r=(1/t)(A/p-1)

r= 1/9((418/400)-1) = 0.005

0.005*100 (for percentage) = 0.5%

rate monthly is 0.5%

0.5*12= 6

yearly is 6%

Mr. Hickory needs to charge more than $60 for each tree in order to make a profit of at least $2500

Let x represent the amount of money charge for each tree.

The cost of growing the trees is $2300.

The revenue = 80x

Profit = Revenue - cost

Hence, to make a profit of at least $2500:

80x - 2300 ≥ 2500

80x ≥ 4800

x ≥ 60

Mr. Hickory needs to charge more than $60 for each tree in order to make a profit of at least $2500.

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the answer is c) 39 according to the sequence

The next number 3, 4, 7, 16, 11, 64, is: 55.

A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.

When all the terms of a geometric sequence are added, then that expression is called geometric series.

We are given the series as;

3, 4, 7, 16, 11, 64, …

If we separate the numbers that in order are in the even place of the odd ones, we would have :

3, 4, 7, 16, 11, 64,..

If we finish in 1 then they increase by 1 in 1, while in 2.- they increase in odd numbers, the following number is: 55

The correct option is A.

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Answer:

0.4 or 2

Step-by-step explanati

that easy

Answer:b=5

Step-by-step explanation:

The value of B for the given expression is B = (2 - 3C) / 5.

An expression in mathematics is a grouping of one or more numbers, variables, and arithmetic operations (such as addition, subtraction, multiplication, division, and exponentiation) that illustrates a relationship or calculation.

Parentheses, braces, and other grouping symbols that specify the sequence in which operations should be carried out are also permitted in expressions.

To solve for B, we need to isolate B on one side of the equation.

15B + 9C = 6

Subtract 9C from both sides:

15B = 6 - 9C

Divide both sides by 15:

B = (6 - 9C) / 15

Simplifying the right side gives:

B = (2 - 3C) / 5

Therefore, B = (2 - 3C) / 5.

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The expression that can be used to find the

garden's length is l = 5x(x - 7) / 5x where l = (x - 7)

Given:

Area of a rectangle = 15x² - 35x

Width of the rectangle = 5x

Length of the rectangle = l

Area of the rectangle = length × width

15x² - 35x = l * 5x

Factor out the left hand side

5x(x - 7) = l * 5x

Divide both sides by 5x

5x(x - 7) / 5x = l

x - 7 = l

Therefore, the expression that can be used to find the garden's length is l = 5x(x - 7) / 5x

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Answer:

ASA

Step-by-step explanation:

Angle marked the same way are congruent, so the two triangles have a side in common and the two adjacent angles congruent, so it's ASA

Answer:

The answer is Option B.) ASA

Explanation:

With the ASA rule, all triangles are congruent.

Answer:

$0.05

Step-by-step explanation:

1.25/25=0.05

Answer:

  a) 49

  b) 84

  c) (B) -- always odd

Step-by-step explanation:

We observe that the number of square tiles is the square of the pattern number. The number of circular tiles is 1 more than the pattern number on each side of the square.

  square tiles = n²

  circular tiles = 4(n +1)

__

7² = 49 square tiles are needed for pattern number 7.

__

4(20+1) = 84 circular tiles are needed for pattern number 20.

__

The parity of the number of square tiles matches the parity of the pattern number. (The square of a number has the same parity as the number.) Since 4 is a factor in the number of circular tiles, its parity is always even. The parity of the total number of tiles will match the parity of the pattern number.

When the pattern number is odd, the total number of tiles will always be odd. (B)

Answer:

Step-by-step explanation:

The conversion is a. 12 mm ≈ 0.47 inches

b. 75 km ≈ 46.60 miles

c. 150 m ≈ 492.13 feet

d. 63 square meters ≈ 678.13 square feet

e. 45 meters per second ≈ 147.64 feet per second

f. 1.9 L ≈ 2.01 U.S. quarts

To convert the metric units into the given English units, we'll use the following conversion factors:

1 inch = 25.4 mm

1 mile = 1.60934 km

1 meter = 3.28084 feet

1 square meter = 10.7639 square feet

1 meter per second = 3.28084 feet per second

1 liter = 1.05669 U.S. quarts

a. 12 mm to inches:

12 mm * (1 inch / 25.4 mm) ≈ 0.47 inches

b. 75 km to miles:

75 km * (1 mile / 1.60934 km) ≈ 46.60 miles

c. 150 m to feet:

150 m * (3.28084 feet / 1 meter) ≈ 492.13 feet

d. 63 square meters to square feet:

63 square meters * (10.7639 square feet / 1 square meter) ≈ 678.13 square feet

e. 45 meters per second to feet per second:

45 meters per second * (3.28084 feet per second / 1 meter per second) ≈ 147.64 feet per second

f. 1.9 L (liters) to U.S. quarts:

1.9 L * (1.05669 U.S. quarts / 1 liter) ≈ 2.01 U.S. quarts

So, after rounding to two decimal places:

a. 12 mm ≈ 0.47 inches

b. 75 km ≈ 46.60 miles

c. 150 m ≈ 492.13 feet

d. 63 square meters ≈ 678.13 square feet

e. 45 meters per second ≈ 147.64 feet per second

f. 1.9 L ≈ 2.01 U.S. quarts

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Answer: 130cm

Let's think the width of the rectangle as, "x"

45*x= 900

x= 900/45

x= 20

45+45+20+20

= 130cm

Step-by-step explanation:

[tex]x = 46.16 \\ y = 23.00 \\ z = 55.7[/tex]

Answer:

B.

Step-by-step explanation:

4 is of course not equal to 5 so no values of x make the equation true.

There are no solutions to this equation.

Answer:

  {0, 50, 100, 150, ..., 350, 400}

Step-by-step explanation:

The range of Alan's balance will be multiples of 50 that are between (and including) 0 and 400.

  {0, 50, 100, 150, ..., 350, 400}

_____

The expression for f(x) is ...

  f(x) = initial balance - (rate of withdrawal) × (time period)

  f(x) = 400 -50x

This is a continuous linear function defined for all x, and capable of producing f(x) values between -∞ and +∞. The range of this function is "all real numbers."

However, as applied to this problem, the domain of x is the set of integers from 0 to 8. The corresponding range is multiples of 50 from 0 to 8, that is, values 0, 50, ..., 350, 400.

Answer:

7 weeks

Step-by-step explanation:

175 divided by 25 is 7

Step-by-step explanation:

A=2(wl+hl+hw)=2x(14x7+7x7+7x14)=490

Option B is the correct answer

Answer:

-14x+2(7x)=0

-14×+14×=0

0=0

Answer:

Option D:  [tex]\displaystyle\mathsf{-\frac{4}{5}\:\leq\:x}[/tex]

Step-by-step explanation:

GIven the following inequality statement:

[tex]\displaystyle\mathsf{7x\:+\:6\:\geq \:\frac{-x}{2}}[/tex]

Start by eliminating the fraction on the right-hand side.

Multiply both sides of the inequality statement by 2:

[tex]\displaystyle\mathsf{2(7x\:+\:6)\:\geq \:\bigg[\frac{-x}{2}\bigg](2)}[/tex]

2(7x + 6) ≥ -x

Next, distribute 2 into the terms inside the parenthesis:

14x + 12 ≥ -x

Subtract 12 from both sides:

14x + 12 - 12 ≥ -x - 12

14x  ≥ -x - 12

Add x to both sides:

14x + x  ≥ -x + x - 12

15x ≥ - 12

Divide both sides by 15 to isolate x:

[tex]\displaystyle\mathsf{\frac{15x}{15}\:=\:\frac{-12}{15}}[/tex]

[tex]\displaystyle\mathsf{x\geq -\frac{4}{5}}[/tex] or  [tex]\displaystyle\mathsf{-\frac{4}{5}\:\leq\:x}[/tex]

Therefore, the correct answer is Option D:  [tex]\displaystyle\mathsf{-\frac{4}{5}\:\leq\:x}[/tex]