John is going to the store. His house is located 3 miles south and 4 miles east from the store, as shown below. What is the shortest distance from his house to the store? Explain

Answer:

n = 2 and a = - 4

Step-by-step explanation:

(1)

- 4n - 8 = 4(- 3n + 2) ← distribute parenthesis

- 4n - 8 = - 12n + 8 ( add 12n to both sides )

8n - 8 = 8 ( add 8 to both sides )

8n = 16 ( divide both sides by 8 )

n = 2

(2)

a - 15 = 4a - 3 ( subtract a from both sides )

- 15 = 3a - 3 ( add 3 to both sides )

- 12 = 3a ( divide both sides by 3 )

- 4 = a

Answer: $18.19

Step-by-step explanation:

Given

The original Price of the meal is [tex]\$20[/tex]

After a 15% discount, the price reduced to

[tex]\Rightarrow \text{Reduced Price}=20\times -20\times 0.15\\\Rightarrow \text{Reduced Price}=20[1-0.15]=20\times 0.85\\\Rightarrow \text{Reduced Price}=\$17[/tex]

After this, a sales tax is applied

So, there would be an increase in price

[tex]\Rightarrow \text{New Price}=17+17\times 0.07\\\Rightarrow \text{New Price}=17[1+0.07]=17\times 1.07\\\Rightarrow \text{New Price}=\$18.19[/tex]

So, the father pays an amount of [tex]\$18.19[/tex]

Step-by-step explanation:

[tex]80 \div 100 \times 30 = \\ = 0.8 \times 30 = \\ = 24[/tex]

Answer:

(-2,3)

Step-by-step explanation:

Answer:

the slope of the line is .5

Step-by-step explanation:

start at point a and rise 1 and run 2 to point d which makes the slope 1/2

Answer:

[tex]10000[/tex] meters

Step-by-step explanation:

The formula for finding distance is ([tex](speed)*(time)=(distance)[/tex]). Substitute in the given values and solve to find the distance,

[tex](20)*(500)=10000[/tex]

Answer:

12 ways?

Step-by-step explanation:

Answer and Step-by-step explanation:

The answer is 12.

This is because there are 4 toppings, and we have to make a 3-way topping pizza.

#teamtrees #PAW (Plant And Water)

Answer:

Step-by-step explanation:

C)  3X

Answer: C. 3x

Step-by-step explanation:

Since x and 3x both have x, you can add them together to get 4x (if there is x by itself, it really means that there is one of it, so it would be 1x.)

Then, you subtract 7x by 4x, which gives you the answer, 3x. You could also solving it by asking yourself: What number plus 4x equals 7x, which would give you 3x.

Answer:

dots dots tods jajtikalaj majc kala mo meroonnn anoo asa ka

Answer:

(-2, 3) is one of many solutions to the system

Step-by-step explanation:

Let's actually solve the system so that we can compare the result with the given pair (-2, 3):

Multiplying the second equation by -2 results in:

2x + 4y = 8

-2x - 4y  = -8

We see that these equations are identical.  Thus, there are infinitely many solutions.  

1. is true:  (-2, 3) is one of many solutions to the system

The other three possible answers are incorrect.

Answer:

pi

a pie is equal to 22/7

do it is not a rational no

Answer: if you're solving by x it would be x=43/2

Step-by-step explanation:

Answer:

ST = 44.5 feet

Step-by-step explanation:

sing SOH CAH TOA to solve the problem;

Given

m<T  = 90

m<R = 39 degrees

TR = 55feet

Required

ST = opposite to m<R

TR is the adjacent

tan theta = opp/adj

tan m<R = ST/TR

tan 39 = ST/55

ST = 55tan39

ST  = 55*0.8098

ST = 44.5 feet

Answer:

the answer is d 41

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

The absolute value of a number is how far away the number is from zero. The absolute value is ALWAYS positive.

Answer:

36.

Step-by-step explanation:

absolute value is always zero or positive

Answer and Step-by-step explanation:

Let's plug 5 in for y.

[tex]4(5)^{2} - 7(5) - 6\\\\\\\\4(25) - 35 - 6\\\\\\100 - 35 - 6 = 59\\\\\\[/tex]

The value of [tex]4y^{2} - 7y - 6[/tex] when y is equal to 5 is 59.

#teamtrees #PAW (Plant And Water)

Answer:

59

Step-by-step explanation:

You can just replace y with its value which is 5.

4y² - 7y - 6 = 4(5²) - 7(5) - 6

                  = 4 × 25 - 35 - 6

                  = 100 - 35 - 6

                  = 59

Answer:

y = 4.

Step-by-step explanation:

I suppose that this question relates to the image that can be seen below.

In the image, the green line represents the exponential function and the blue line represents the linear function.

The y-value after which the exponential function will always be greater than the linear function is the y-value where bot graphs intersect, such that after that point, the blue line starts increasing fast, and is always above the green line.

In this case, this point is the second intersection, and we can see that this intersection happens in the point (2, 4)

Remember that the usual notation for points is (x, y).

Then the y-value after which the exponential function will always be greater than the linear function is y = 4.

Answer:

Reflection

Step-by-step explanation:

Here, we want to get the transformation that yielded figure B from figure A

Looking at the plot, we can see that we have the origin as the center of transformation

The kind of transformation however is reflection

The shape A was reflected about the origin or the point (0,0) to give shape B

Answer:

glide reflection

Step-by-step explanation:

got it right on a quiz

Answer:

A

Step-by-step explanation:

The dot at A is an outlier because it is far outlying the skewed pattern of the data, and is basically isolated from the rest of the data.

Answer:

volume of rectangular prism is lxwxh volume of triangular prism is bxh÷2

Answer:

1) m<1 = 25

2) m<4 = 155

3) m< 5 = 25

4) m<7 = 25

5) 110

6) 30.5

7) 74

Step-by-step explanation:

1)

x + 155 = 180

x = 25

2)

<4 = 155 because of vertical angle thm

3)

<5 = 25 (congruent to <1) b/c of corresponding angles thm

4)

<7 = <5 (25) because of vertical angles thm

5)

5x + 15 = 8x - 42

-3x = -57

x = 19

5(x) + 15

5(19) + 15 = 110

6)

180 - 110 = 70

3x + x + 4 + 70 = 180

4x + 74 = 180

4x = 106

x = 26.5

x+ 4 = 30.5

7)

180 - 115 = 65

x + 4 + 2x + 65 = 180

3x + 69 = 180

3x = 111

x = 37

2x = 74

Answer:

$15 for 5 cupcakes

Answer:

the mean is $80

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

Mean of Phone Bills =

[tex] \frac{phone \: bills \: total}{number \: of \: phone \: bills} \\ = \frac{95 + 67 + 43 + 115}{4} \\ = \frac{320}{4} \\ = 80[/tex]

G

Solution:

Here,

y+2x=2

y=2-2x

Now,

Putting the value of y

y+4x=0

2-2x+4x=0

2+2x=0

2(1+x)=0

1+x=0

x=-1

Then,

Putting the value of x

y=2x-2

=2×-1-2

=-2-2

=-4

Hence,the solution is (-1,-4)

Answer:

Joe

Step-by-step explanation:

Strat: Solve both for 1 hour. 48/3=16(Ron)

34/2=17(Joe)

Answer:

d. 2/3

Step-by-step explanation:

Answer:

x=90°

Step-by-step explanation:

The inside angles in a triangle always add up to 180°.

So:

53°+37°=90°

180°-90°=90°

x=90°

Answer:

see below

Step-by-step explanation:

since the sum of angles in a triangle is 180 degrees

x + 53 + 37 = 180

x = 180 - 53 - 37

x = 90 degrees

hope this helps, please mark it brainliest

Answer:

1.52500 times 10 minus 5 m4

Step-by-step explanation:

Answer:

B: 13000 m²

Step-by-step explanation:

To find how much wood is used, we will have to find the surface area of the wooden building.

Formula for surface area of a rectangular pyramid is;

SA = lw + l√(h² + w²/4) + w√(h² + l²/4)

We are given;

l = 100 m

w = 50 m

h = 40 m

Thus;

SA = (100 × 50) + 100√(40² + 50²/4) + 50√(40² + 100²/4)

SA = 5000 + 4717 + 3201.56

SA = 12918.56

Approximating to 2 significant figures gives;

SA = 13000 m²