2 Kate biked 9 miles north to the park, then 4
miles west to the mall. How far is Kate
from her starting point?

Answer:

Y= -5/6 - 9

Step-by-step explanation:

Answer:

(a) 3 inches

(b) Her scale model drawing WILL fit on the piece of paper 8.5 by 7 inches

Step-by-step explanation:

Scaling

We use scales to represent realities in reduced spaces. In the case of lengths or surfaces, the scale allows us to draw the shapes in normal sheets of paper.  

(a)

Kelly's rock garden has a length of 6 feet. She uses a 1 inch:2 feet scale. this means that the model length is

6 feet*1 inch/2 feet = 3 inches

(b)

The width of the model is 5 inches, keeping the same scale it means the real length is

5 inches * 2 feet / 1 inch = 10 feet

The model will have 3 inches by 5 inches, it perfectly fits on any regular piece of paper

Answer:

19/20

Step-by-step explanation:

3 1/5 - 2 1/4

16/5 - 9/4

64/20 - 45/20

19/20

Answer: 19/20

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

3 1/5 becomes 16/5

2 1/4 becomes 9/4

LCD = 20

Answer:

False, False, True, False

Step-by-step explanation:

The correct statements are:

(2x+y) is a factor of the expression 3(2x+y).

(2x+y) is a sum of two terms.

a) 2x is a factor of the expression (2x+y): False.

2x is not a factor of (2x+y) because it doesn't divide evenly into it.

b) (2x+y) is a factor of the expression 3(2x+y): True.

(2x+y) is a factor of 3(2x+y) because it divides evenly into it.

c) (2x+y) is a sum of two terms: True.

(2x+y) is a sum of the two terms 2x and y.

d) 3(2x+y) is a product of two terms: False.

3(2x+y) is a product of three terms: 3, 2x, and y.

Hence the b and c are the correct statements.

Learn more about expressions click;

https://brainly.com/question/34132400

#SPJ6

a) The expression for perimeter of rectangle is 4x+34.

b) The expression for area of rectangle is 24x+60.

Step-by-step explanation:

Given figure is a rectangle;

Length of rectangle = 12

Width of rectangle = (x+5)+x = 2x+5

a) Perimeter of model

Perimeter of rectangle = 2(Length + Width)

Perimeter of rectangle = [tex]2(12+2x+5)[/tex]

Perimeter of rectangle = [tex]2(2x+17)[/tex]

Perimeter of rectangle = 4x+34

The expression for perimeter of rectangle is 4x+34.

b) Total area of rectangle

Area of rectangle = Length * Width

Area of rectangle = [tex]12*(2x+5)[/tex]

Area of rectangle = 24x+60

The expression for area of rectangle is 24x+60.

Keywords: area, rectangle

Learn more about rectangle at:

#LearnwithBrainly

It would take 9 people 34.5 minutes to paint 9 walls.

23 divided by 6 equals 3.83. That is how many minutes it takes one person to paint one wall. Multiply 3.83 by 9 and you get your answer, 34.5 minutes.

Answer:

The answer is B

Step-by-step explanation:

–3 and 1; 4x and 7x

The Like terms of the given expression are 4x and 7x ; -3 and 1.

Those terms which have the same variables are raised with the same power.

For example, 5t^3 and 6t^3 are like terms since the variable is same, and it is raised to the same power 3.

Given expression;

4 x - 3 + 7 x + 1

Like terms are;

4x and 7x

-3 and 1

Thus, option C is correct.

Learn more about expression here:

https://brainly.com/question/10451213

#SPJ2

Answer:

17-3=14

37-23=14

20-6=14

Answer:

15-1=14

48-34=14

137-123=14

Step-by-step explanation:

To check work

14+1=15

14+34=48

14+123=137

An expression that is equivalent to [tex](12x^4-4x^3+7x+6)+(3x^2-4x+14)[/tex] include the following: D. [tex]12x^4-4x^3+3x^2+3x+20[/tex]

In Mathematics and Euclidean Geometry, the degree of a polynomial function is the highest power among each of its term.

The leading coefficient represents the coefficient of the leading term while the leading term is the term with the highest degree. Also, a constant polynomial is a polynomial that has only a constant term and no variable.

In this exercise and scenario, your are required to add the polynomial functions together.

First of all, we would rearrange the polynomial functions by collecting like terms and then add them together as follows;

[tex]12x^4-4x^3+3x^2-4x+7x+6+14\\\\12x^4-4x^3+3x^2+3x+20[/tex]

Complete Question:

Which of the following expressions is equivalent to [tex](12x^4-4x^3+7x+6)+(3x^2-4x+14)[/tex]?

A [tex]12x^4-x^3+3x+20[/tex]

B [tex]15x^6-8x^4+21x+6[/tex]

C  [tex]15x^6-4x^3+3x+20[/tex]

D [tex]12x^4-4x^3+3x^2+3x+20[/tex]

Final answer:

To find the equivalent expression, add like terms from both expressions, resulting in 12x⁴ - 4x³ + 3x² + 3x + 20.

Explanation:

To find the expression equivalent to (12x⁴-4x³+7x+6)+(3x²-4x+14), we simply add the like terms from both expressions.

Firstly, observe that there are no other terms with the same degree as 12x⁴ and -4x³, so they will remain as they are.

Next, add the coefficients of the x terms and the constants: 7x + (-4x) = 3x and 6 + 14 = 20.

However, there's a 3x² term in the second expression which doesn't have a matching term in the first expression, so it also remains unchanged.

Combining all these, the equivalent expression is 12x⁴ - 4x³ + 3x² + 3x + 20.

Answer:

Andy

Step-by-step explanation:

Since hes 0 away from it meaning he’s there

Answer: 1) Andy 2) Caedin 3) 9:08am 4) Berta

Step-by-step explanation: first is Andy because it says “the locations starting at 9am “and the starting point is 0 and Andy is the only one there. Second is Caedin because he decreases at first but increases later on. Third because they started at 9am and the x-axis (minutes) says 8 so it could only mean they cross paths at 9:08am, the last one is Berta because she closest

Answer:

4(2x+3y)

Step-by-step explanation:

Answer:

At least 12

Step-by-step explanation:

25 percent of 150 is 37.50.  0.25 X 150

450/37.5 = 8

Answer:12

Step-by-step explanation:

Find 25% of 150 and then divide 450 with the answer of 25%.

Option A: [tex]C(x)=1,200+120 x R(x)=200 x[/tex] is the equation.

Explanation:

Let x represents the number of hours per month the store is open.

It is given that the the monthly rent(expense) = $1200

Also, the employee salary for each hour(expense) = $120x

Thus, the total expense C(x) is [tex]1200+120x[/tex]

It is also given that the income per hour(revenue) is $200x

Thus, the revenue function R(x) is [tex]200x[/tex]

The break - even point is given by

Total expense = Revenue

Thus, [tex]C(x)=1,200+120 x R(x)=200 x[/tex] is the equation.

Hence, Option A is the correct answer.

Answer:

A

Step-by-step explanation:

Answer:

     [tex]\large\boxed{\large\boxed{1/36}}[/tex]

Explanation:

1. By definition

2. Possible outcomes

The possible outcomes is the sample space. The first toss has 6 possible outcomes and the second toss has other 6 possible outcomes; thus, the sample space has 6 × 6 = 36 different outcomes.

3. Favorable outcomes

Tossing exactly two 5's is just one of the 36 possible outcomes. Thus. the number of favorable otucomes is 1.

4.  Computation

Answer:

Choice D.

82.8

Step-by-step explanation:

We can use law of cosines since we are given three sides.

[tex]z^2=y^2+x^2-2yx \cos(Z)[/tex]

Since [tex]z[/tex] is opposite side of angle [tex]Z[/tex], then [tex]z=12[/tex]:

[tex]12^2=10^2+8^2-2(10)(8) \cos(Z)[/tex]

[tex]144=100+64-160 \cos(Z)[/tex]

[tex]144=164-160 \cos(Z)[/tex]

[tex]-20=-160 \cos(Z)[/tex]

[tex]\frac{-20}{-160}=\cos(Z)[/tex]

[tex]\frac{20}{160}=\cos(Z)[/tex]

[tex]\frac{1}{8}=\cos(Z)[/tex]

[tex]\cos^{-1}(\frac{1}{8})=Z[/tex]

[tex]82.819^\circ=Z[/tex]

Option D is correct.

Answer

49500litres

Step-by-step explanation:

Check attachment  

Answer:7

Step-by-step explanation:

7+7+7+7 is 49

Answer:

perimeter is 36

Step-by-step explanation:

49 square root is 9

since it is a square 4 side lengths x 9 = 36

Step-by-step explanation:

[tex](8x - 8) \degree \: and \: (7x + 8)\degree \: are \: \\ vertically \: opposite \: angles. \\ vertically \: opposite \: angles \: are \: \\ congruent \\ \therefore \: (8x - 8) \degree \: = \: (7x + 8)\degree \\ \therefore \: 8x - 7x = 8 + 8 \\ \huge \pink{ \boxed{\therefore \: x = 16\degree}}[/tex]

Answer:

16

Step-by-step explanation:

As the angles are vertically opposite

7x + 8 = 8x - 8

x = 16

Answer:

  2.30

Step-by-step explanation:

The side of interest is opposite the given angle, and the hypotenuse is given. The sine relation tells you ...

  sin(A) = a/c

  a = c·sin(A) = 3·sin(50°)

  a = BC ≈ 2.2981 ≈ 2.30

a. The inequality 15x+300≤750 represents the situation.

b. It means that the band can spend at most $30 on each uniform without exceeding the budget.

Step-by-step explanation:

Given,

Budget = $750

Competition fee = $300

Uniforms to make = 15

Let,

x be the amount for each uniform.

a.  Write an inequality to represent this situation.

Uniforms to make * Cost per uniform + Competition ≤ Budget

15x+300 ≤ 750

The inequality 15x+300≤750 represents the situation.

b.  Solve the inequality and describe what it means in the situation.

[tex]15x+300\leq 750\\15x+300-300\leq 750-300\\15x\leq 450[/tex]

Dividing both sides by 15

[tex]\frac{15x}{15}\leq \frac{450}{15}\\x\leq 30[/tex]

It means that the band can spend at most $30 on each uniform without exceeding the budget.

Keywords: inequality, division

Learn more about inequality at:

#LearnwithBrainly

The inequality representing this situation is 15x + $300 <= $750. Solving for x gives x <= $30

The student is interested in determining how much the school marching band can spend on each new uniform given a specific budget constraint. To represent this situation, we need to establish an inequality.

Writing the inequality-
Let's denote the cost of one uniform as x. With 15 uniforms needed and competition fees totalling $300, the inequality that represents the budget situation is:

15x + $300 <= $750

Solving the inequality-

To solve for x, subtract $300 from both sides of the inequality:

15x <= $450

Next, divide both sides by 15:

x \<= $30

This means that they can spend at most $30 for each uniform. The inequality tells us the maximum spending cap for one uniform, ensuring the total cost for all uniforms plus competition fees does not exceed the available budget of $750.

The next three numbers in sequence are 22, 32 and 44

Solution:

Given sequence is:

2, 4, 8, 14, ...

We have to find the next 3 numbers in sequence

Let us understand the logic used in this sequence

[tex]First\ term = 1^2 -1+2 = 1 + 1 = 2\\\\Second\ term = 2^2 -2 + 2 = 4\\\\Third\ term = 3^2 - 3 + 2 = 9 - 1 = 8\\\\Fourth\ term = 4^2 -4 + 2 = 16-2 = 14[/tex]

Thus the formula used is:

[tex]a_n = n^2 - n +2[/tex]

Where, "n" is the location of term in sequence

To find the next three terms:

[tex]Fifth\ term = 5^2 - 5 + 2 = 25 - 3 = 22\\\\Sixth\ term = 6^2 - 6 + 2 = 36 - 4 = 32\\\\Seventh\ term = 7^2 -7 + 2 = 49 - 5 = 44[/tex]

Thus the next three numbers in sequence are 22, 32 and 44

Answer:

11 boys 8 girls

Step-by-step explanation:

There are 19 total students.

There are 3 more boys than girls

girls + 3 = boys ( because there are three more boys)

boys + girls = 19

You can substitute g +3 for b so:

2 girls +3 = 19

19 - 3 = 16

16/2 = girls

8 = girls

Once you find g just subtract the amount of girls from 19 to get the amount of boys.

19 kids - 8 girls = 11 boys

Answer:

0.2  (compression)

Step-by-step explanation:

Given

Length of paper = 11 inches,

Width of paper = 8 1/2 = 17/2 inches

Length of logo = 2 1/5 = 11/5 inches

Width of logo = 1 7/10 = 17/10 inches

Scale factor based on Length

=Length of Logo ÷ Length of paper

= 11/5 ÷ 11

= 0.2  (since it is less than 1, this is a compression)

(Sanity Check: Check width scale factor = length scale factor)

Scale factor based on width

=Width of Logo ÷ Width of paper

= 16/10 ÷ 17/2

= 0.2  (this is the same as the length scale factor so this checks out ok!)

Answer:

Therefore d = 100 is a solution of the given equation.

A question that solving this problem could answer is "what is the range of d"

d < 171.43

Step-by-step explanation:

i) the given equation is 10 - 0.035d > 4

ii) if d = 100 then 10 - (0.035[tex]\times[/tex] 100) = 10 - 3.5 = 6.5 > 4

Therefore d = 100 is a solution of the given equation.

A question that solving this problem could answer is "what is the range of d"

10 - 0.035d > 4

therefore -0.035d > 4 - 10

therefore -0.035d > -6

therefore 0.0035d < 6

therefore d < 6 / 0.035 [tex]\Rightarrow[/tex] d < 171.43

Final answer:

100 is a solution to the inequality 10 - 0.035d > 4 because, after substituting d with 100, the inequality 6.5 > 4 holds true.

Explanation:

To determine whether 100 is a solution of the inequality 10 - 0.035d > 4, we substitute d with 100 and check if the inequality holds true:

10 - 0.035(100) > 4

10 - 3.5 > 4

6.5 > 4

Since 6.5 is indeed greater than 4, we can confirm that 100 is a solution to the inequality.

A corresponding question this problem could answer might be: "If a part-time employee loses $0.035 from their savings for each day they work, after how many days will their savings be reduced to less than $4 if they initially had $10?" Solving the inequality would help find the maximum number of days the employee can work before their savings fall below $4.

Answer:

Around 30 coupons

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Correct on edge 2023

Answer:

Length = 45

Width = 38

Step-by-step explanation:

2a + 2(a + 7) = 166

4a + 14 = 166

4a = 152

a = 38

a = Width

38 = Width

a + 7 = Length

(38 + 7) = Length

45 = Length

Answer:

10.07$

Step-by-step explanation:

6 meters of fabric = 10.35

divide 3.45 by 2

1.72

add 1.72+10.35

10.07$

Answer:

Set up a proportion 2m/$3.45 = 7m/x

then cross multiply

7(3.45)=2x

then divide both sides by 2

x=12.075 which is roughly $12.08

Step-by-step explanation:

Add 8 to both sides: -4x>-12

Divide both sides by -4: x>3

Flip the sign since we divided by a negative: x<3

So the correct answer is B

Hope this helped!

Answer:

The answer is B

Step-by-step explanation:

The was done, I did the question and it is right.

Answer:1

Step-by-step explanation:2+2=4

4/4=1