if I travel 10 miles in a north-east direction, how far to the east did I travel? How far to the north?

Answer:

n = q/10 - (r t)/10

Step-by-step explanation:

Solve for n:

q - 14 n = r t - 4 n

Subtract q - 4 n from both sides:

-10 n = r t - q

Divide both sides by -10:

Answer: n = q/10 - (r t)/10

Answer: A

Step-by-step explanation:

the answer is A

Answer:

2 feet per year

Step-by-step explanation:

I think you meant 38 1/2

and 5 1/2

but if you didn't then its

2.1484375

because

4912-3812=1100

1100÷512= 2.1484375

Answer:

-1075

Step-by-step explanation:

The 64th term of the arithmetic sequence -4, -21, -38, .... is -1075.

Arithmetic sequences are a set of numbers written in an order where the difference of any two consecutive term will be a constant. This constant difference between the consecutive terms is called the common difference commonly denoted by 'd'. In other words, arithmetic sequences are formed by adding or subtracting a constant number to each term.

Arithmetic sequences are also known as arithmetic progression.

Here, the given sequence is -4, -21, -38, ...

Common difference, d = (-21) - (-4) = -21 + 4 = -17

First term, a = -4

We have to find the 64th term of this sequence.

nth term of an arithmetic progression is given by the formula,

aₙ = a + (n - 1)d

a₆₄ = -4 + [(64 - 1) × (-17)]

     = -4 + [63 × (-17)]

     = -4 + (-1071)

     = -1075

Hence the 64th term of the arithmetic sequence -4, -21, -38, .... is got as  -1075.

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Answer: C.

Step-by-step explanation: does 15=10+5? Yes. Does 30=25+5? Yes. Does 45=40+5? Yes indeed.

Answer:

(0, 3/2)

Step-by-step explanation:

the slope is 0.

the y intercept is 3/2.

Answer:

x=-5

Step-by-step explanation:

Answer:

10*10*10*10*10*10*10*10*10*10

Answer:

4) x = - 12

5) x = 4

Step-by-step explanation:

4)

Since points T and S are mid points of sides ML and MN of triangle MLN.

Therefore, by mid point theorem,

TS is half of LN

so,

[tex]x + 26 = \frac{1}{2} (x + 40) \\ \\ 2(x + 26) =x + 40 \\ \\ 2x + 52 = x + 40 \\ \\ 2x - x = 40 - 52 \\ \\ x = - 12[/tex]

5) In the same way x = 4 will be the correct answer in question number 5.

Answer: C.-1.5

Step-by-step explanation:

Given: The burning time of a very large candle is normally distributed with mean[tex](\mu)[/tex] of 2500 hours and standard deviation[tex](\sigma)[/tex] of 20 hours.

Let X be a random variable that represent the burning time of a very large candle.

Formula: [tex]Z=\dfrac{X-\mu}{\sigma}[/tex]

For X = 2470

[tex]Z=\dfrac{2470-2500}{20}\\\\\Rightarrow\ Z=\dfrac{-30}{20}\\\\\Rightarrow\ Z=\dfrac{-3}{2}\\\\\Rightarrow\ Z=-1.5[/tex]

So, the z-score they corresponds to a lifespan of 2470 hours. =-1.5

Hence, the correct option is C.-1.5.

Mid point of the points PQ is (₋0.3 , 3.25)

Given points are:

P(₋2 , 2.5)

Q(1.4 , 4)

midpoint of PQ = ?

A location in the middle of a line connecting two points is referred to as the midpoint. The midpoint of a line is located between the two reference points, which are its endpoints. The line that connects these two places is split in half equally at the halfway.

The midpoint calculation is the same as averaging two numbers. As a result, by adding any two integers together and dividing by two, you may find the midpoint between them.

Midpoint formula (x,y) = (x₁ ₊ x₂/2 , y₁ ₊ y₂/2)

we have two points:

P(₋2,2.5) = (x₁,y₁)

Q(1.4,4) = (x₂,y₂)

Midpoint = (₋2 ₊ 1.4/2 , 2.5₊4/2)

= (₋0.6/2 , 6.5/2)

= (₋0.3 , 3.25)

Hence we determined the midpoint of PQ as (₋0.3 , 3.25)

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The inequality that models the scenario is the first one:

$24 + $2*n ≤ $37

Solving that we conclude that Eli can buy at most 6 notebooks.

We know that Eli wants to buy a calculator that costs $24 and some notebooks, such that each notebook costs $2.

Then If Eli buys the calculator and n notebooks the total cost will be:

$24 + $2*n

We know that Eli has a total of $37 to spend, so that is the maximum amount he can spend. Thus, we can write the inequality:

$24 + $2*n ≤ $37

So the correct option is the first one.

Now also let's solve the inequality for n.

$24 + $2*n ≤ $37

$2*n  ≤ $37 - $24

$2*n ≤ $13.

n ≤ $13/$2

n ≤ 6.5

So Eli can buy at most 6 notebooks.

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Answer:

C. 5 over negative 9

Step-by-step explanation:

They both equal -0.6

Answer: 10^10

Step-by-step explanation:

Answer:

x=53/9

Step-by-step explanation:

(x-2):5=7:9

9x-18=35

9x=35+18

9x=53

x=53/9

The amount that Andrea pay Dina for her share of the partnership will be $810,000

The percent of the business did Andrea own after she bought out Dina will be 80%.

The amount that Andrea pay Dina for her share of the partnership will be:

= 9/(7 + 9 + 4) × $1800000

= 9/20 × $1,800,000

= $810,000

The percent of the business did Andrea own after she bought out Dina will be:

= (7 + 9)/20

= 16/20 × 100

= 80%

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Answer:

$79.20

Step-by-step explanation:

0.99 x 80 = 79.2

Hope this helps. (:

Answer:he can buy four donuts

Step-by-step explanation:

He bought two cookies which is .50 cents

Subtract .50 cent from the total amount which is $5

Divide that by 1.25

I got 4

Answer:

1/14

Step-by-step explanation:

[tex] \frac{3}{7} \times \frac{1}{6} = \frac{1}{14} [/tex]

or 0.071

please mark me brainliest and 5 star

Answer:

I cannot confirm answer (D), but it looks correct to me.

Here's the option:

The expected yield of a crop is low whenever the number of seeds planted per square foot is small or large. A larger yield is expected when the number of seeds per square foot is around 60.

ED2021

Answer:

36

Step-by-step explanation:

x is the number

(x-11)(-5) = -125

x - 11 = 25

x = 25 + 11

x= 36

Wha..?

............................................................................................

Answer:

the first one is the correct answer

^eksponensial^

general form and answer (lies in paper)

ok, thanks.

The result of the following questions are

[tex](x)(x^{7})(7x^{3})=7x^{11} \\(15x^{6}y^{2})(\frac{1}{5}x^{3}y^{3})=3x^{9}y^{5}\\\frac{2c^{2}d^{3} }{3c^{-2}d^{-4} }=\frac{2}{3}c^{4}d^{7}[/tex]

Given,

We have to solve the questions using exponent rules

Part 1

[tex](x)(x^{7})(7x^{3})=7x^{1+7+3}\\=7x^{11}[/tex]

Part 2

[tex](15x^{6}y^{2})(\frac{1}{5}x^{3}y^{3} )=\frac{15}{5} (x^{6+3}y^{2+3})\\ =3(x^{9}y^{5})[/tex]

Part 3

[tex]\frac{2c^{2}d^{3} }{3c^{-2}d^{-4} }=\frac{2}{3}{c^{2--2}d^{3--4}\\=\frac{2}{3}c^{4}d^{7}[/tex]

Hence, the result of the following questions are

[tex](x)(x^{7})(7x^{3})=7x^{11} \\(15x^{6}y^{2})(\frac{1}{5}x^{3}y^{3})=3x^{9}y^{5}\\\frac{2c^{2}d^{3} }{3c^{-2}d^{-4} }=\frac{2}{3}c^{4}d^{7}[/tex]

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Answer:

Step-by-step explanation:

Answer:

380000000000000000000

Step-by-step explanation:

Answer:

[tex](\frac{-1}{2},1)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

A (-3, -5)

B (2, 7)

Step 2: Find midpoint

Stratified random sample would be the sampling design for the best information.

• In statistics, stratified sampling is an method of sampling from a population which can be divided into subpopulations. In surveys based on statistics, when subpopulation within an overall population var, it could be advantageous to sample each population separately.

• For example one may divide a sample of children into subgroups by age like 1-5,6-10,11-15 and above.

• The benefits of stratified sampling is that you can obtain reasonably precise estimate for subgroups related to the research.

• One disadvantage of stratified sampling is that the selection of appropriate strata for a sample of your research may be difficult.

• The effective use of stratified sampling can be Analysing 30% of the items under $30,000.

In this question we use stratified sampling.

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Answer:

17) 53°

18) 113°

19) 4

20) 7

Step-by-step explanation:

19) 21x + 6 = 90

21x = 84

x = 4

20) 11x - 2 = 75

11x = 77

x = 7