A turtle crawls 3 yards in an hour. How far will it crawl in 2 hours?

Answer:-70

Step-by-step explanation:

Answer:-70

Step-by-step explanation:

−3.5

0.05

=−70

Answer:

We need to sell the nuts at 35 dollars to make $20 profit

Step-by-step explanation:

Profit = Selling price - cost

We know we want a 20 dollar profit

The cost of the nuts is 15 dollar

Substitute this in

20 = Selling price -15

Add 15 to each side

20+15 = Selling price -15+15

35 = Selling price

We need to sell the nuts at 35 dollars to make $20 profit

Answer:

-a(a+4)/(16 - a²)

Step-by-step explanation:

            a/(a - 4)                  Multiply by (a + 4)/(a + 4)

= a(a + 4)/[(a – 4)(a + 4)]     Multiply the denominatorator terms

= a(a + 4)/(a² - 16)               Multiply by -1/(-1)

= -a(a+4)/(-a² + 16)              Reorder terms in denominator

= -a(a+4)/(16 - a²)

[tex]Use\ (a^n)^m=a^{nm}\ and\ a^3-b^3=(a-b)(a^2+ab+b^2).\\\\m^{15}=m^{5\cdot3}=(m^5)^3\\\\m^{15}-1,000=(m^5)^3-10^3=(m^5-10)[(m^5)^2+(m^5)(10)+10^2]\\\\=(m^5-10)(m^{10}+10m^5+100)\\\\Answer:\ \boxed{m^5-10}[/tex]

Final answer:

The binomial factor in the factorization of [tex]m^{15}[/tex] - 1,000 is [tex]m^{5}[/tex] - 10

Explanation:

To find the binomial factor in the factorization of [tex]m^{15}[/tex] - 1,000, we should recognize this expression as a difference of two powers. Both [tex]m^{15}[/tex] and 1,000 (which is the cube of 10, or 103), can be written as a power of their respective bases. We can factor this expression using the difference of cubes formula, which states that [tex]a^{3}[/tex] - [tex]b^{3}[/tex] = (a - b)([tex]a^{2}[/tex] + ab + [tex]b^{2}[/tex]). Applying this formula, we look for a cube of m that matches one of the options provided. The closest match here is [tex](m^{5})^3[/tex] [tex]-10^{3}[/tex], which gives us the factor of ([tex]m^{5}[/tex] - 10). Therefore, the binomial factor is [tex]m^{5}[/tex] - 10.

The standard form of speed of light is 300000 kilometers per second

Here the standard form means converting the given expression to the simple expression .

So, 3x10^5 can be written as 3 x 100000

By multiplying we get 300000

So, the standard form of speed of light is 300000 kilometers per second

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Answer:

Yee it's the second one I took the edge test don't worry I"m right even tho I have wrong grammar

Step-by-step explanation:

Answer:

25/2

Step-by-step explanation:

Answer:

a= 1/2m+25

Step-by-step explanation:

As the statement says that Sophie pays for one half of the cost of the car rental (m) and that she spent $25 on gasoline, the expression that could be used to determine the amount that she spent would be equal to the sum of one half of the cost of the car rental plus 25:

a= 1/2m+25

a= amount Sophie spent

m= cost of the car rental

Answer: The number of pounds each camel have to carry=44 pounds

The pounds of goods left=3 pounds

Step-by-step explanation:

The total pounds of goods the merchant have=[tex]269+167+51[/tex]

=487 pounds

The total number of camels the merchant have = 11

If each camel carry same weight of goods, then we divide total weight by 11, we get

487÷11=44.27

The number of pounds each camel have to carry=44 pounds

The pounds of goods left=487-44×11=487-484=3 pounds

Answer:

x = 387

Step-by-step explanation:

The wind acts in the opposite direction to the plane when the time is longer.

The wind acts in the same direction as the plane when the time is shorter.

Equation

d = r*t

Givens

Substitution

Since the two distances are the same, you can equate the right hand sides.

Now use one of the given equations with the distance

Answer:

option B

Step-by-step explanation:

9/10 + 6/5 + 3/2...........

We find the difference between the terms

[tex]\frac{6}{5} - \frac{9}{10}[/tex]

[tex]\frac{12}{10} - \frac{9}{10} = \frac{3}{10}[/tex]

We will get the same difference when we subtract consecutive terms.

so , d= 3/10, a= 9/10

we find the formula for nth term

a_n = a+(n-1) d

[tex]a_n = \frac{9}{10} + (n-1)\frac{3}{10}[/tex]

[tex]a_n = \frac{9}{10} +\frac{3}{10}n-\frac{3}{10}[/tex]

[tex]a_n = \frac{6}{10} +\frac{3}{10}n[/tex]

[tex]a_n = \frac{3}{5} +\frac{3}{10}n[/tex]

we need to find eighth partial sum so we  take n=1 to 8

sum of 8 terms ([tex]\frac{3}{5} +\frac{3}{10}n[/tex])

So option B is correct

The eighth partial sum of a series, denoted as S8, sums up the first 8 terms in the series. In summation notation, it can be expressed as S8 = Σ_[k=1]^8 a_k.

In mathematics, specifically in series and sequences, the notation for the eighth partial sum of a series is denoted by S8. Here the numeral 8 indicates the number of terms in that partial sum which is 8 in this case. The general formula for the sum of an arithmetic series is S_n = n/2 * (a + l) where n is the number of terms, a is the first term, and l is the last term.

If the terms of the series are denoted by a_k where k=1,2,3,... is the index of the term, the eighth partial sum of a series can be written in summation notation as:

 S8 = Σ_[k=1]^8 a_k

This means that the eighth partial sum is the sum of the first 8 terms of the series.

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Answer:

[tex]\frac{(L x M)}{6}[/tex]

Step-by-step explanation:

The greatest common factor is the greatest number that will divide two values. We have two values L and M. Each has numbers which multiply together to give the number. The highest value or most in common they share is 6. This is the GCF.

The least common multiple is the smallest positive number which is a multiple of the two. This means both L and M divide into it evenly.

We know L x M is a multiple because L and M will be factors of it. But we don't know its the least.

As an example if L= 42 and M = 60, they have GCF 6. We can multiply them to find a multiple 42 x 60 = 2520 but we don't know this is the smallest or least multiple we can find. If we divide by the GCF, 2520/6=420. Interestingly, 42 x 10 =420 and 60 x 7 =420. This means 420 is the least common multiple.

We can multiply (L x M) and then divide by the GCF of L & M to find the least common multiple.

[tex]\frac{(L x M)}{6}[/tex]

Answer:

The simplified version of this would be (63 - 19x)/2

Step-by-step explanation:

In order to find this, we first distribute the numbers outside of the parenthesis.

13(11-3x)-5(16-4x)/2

143 - 39x - 80 + 20x/2

Then we combine like terms

(63 - 19x)/2

Answer:

[tex](x-1)^2+(y+5)^2=100[/tex]

Step-by-step explanation:

The equation of a circle has the following form:

[tex](x-h)^2+(y-k)^2=r^2[/tex] where (h,k) is the center of a circle with radius r.

Our equation center is (1.-5) and radius is 10.

[tex](x-1)^2+(y--5)^2=10^2[/tex]

[tex](x-1)^2+(y+5)^2=100[/tex]

Answer:

-8\3

Hope That Helps!

I think the answer might be J 3(-4) since there are 3, -4 jumps.

Answer:

$53,700

Step-by-step explanation:

If we have 537 people coming and paying $100 each, we multiply 537  and $100

537 * $100

$53,700

Answer:

p= 2l+2b

Step-by-step explanation:

distribution

Answer:

P = 2 * 1 + 2 * B

Step-by-step explanation:

This equation needs to be written using the distributive property:

A (B + C) = A * B + A * C

Put in the numbers:

P = 2 (1 + B)

=

P = 2 * 1 + 2 * B

Best Of Luck,

- I.A. -

Answer:

Step-by-step explanation:

The population density is the ration between the population and the area covered. So, the population density of Marble City

[tex]M=\frac{52348}{125}\approx418.78[/tex]

If both cities have the same population density, this can be used to find the dimension of Pebble City:

[tex]P=\frac{85312}{A}\\ 418.78=\frac{85312}{A}\\A=\frac{85312}{418.78}\approx 203.72[/tex]

Now, knowing the area of Pebble City, we can find its length

[tex]A=(length)(width)\\203.72=l(11.8)\\l=\frac{203.72}{11.8}\approx 17[/tex]

Therefore, the length of Pebble City has a length of 17 miles, approximately.

The total is $21 + $6 or $27.

There are 3 students.

Let p = how much each student will pay

p = $27 ÷ 3 students

p = $9

Each student will pay $9.

The answer is $9 each

Answer:

0.10 for 1/4 of a mile so 8 would be 32 times more. Which would be .1 x 32 or $3.20

Step-by-step explanation:

Plz mark brainliest :3

Answer:

Annalisa uses 7/6 cups altogether.

Step-by-step explanation:

First you find common denominators for both fractions, which is 6, then convert the fractions to the denominator 6.

You get 3/6+4/6.

The answer is 7/6!

Answer:

x=60.56, x=-82.56

Step-by-step explanation:

Solve using quadratic formula

Formula is

[tex]x=\frac{-b+-\sqrt{b^2-4ac}}{2a}[/tex]

0.05x^2 + 1.1x = 250

Subtract 250 on both sides

0.05x^2 + 1.1x - 250=0

a= 0.05, b=1.1 , c=-250

Plug in the values in the formula

[tex]x=\frac{-1.1+-\sqrt{(1.1)^2-4(0.05)(-250)}}{2(0.05)}[/tex]

[tex]x=\frac{-1.1+-7.156116265}{0.1}[/tex]

Now make two equations , one with +  and one with -

then we solve for x

[tex]x=\frac{-1.1+7.156116265}{0.1}[/tex]

x=60.56

[tex]x=\frac{-1.1-7.156116265}{0.1}[/tex]

x=-82.56

The solutions for (x) are approximately [tex]\(x_1 \approx 47.5\) and \(x_2 \approx -549.5\).[/tex]

To solve the equation \(0.05x^2 + 1.1x = 250\) using the quadratic formula, follow these steps:

1. Identify the coefficients in the equation: \(a = 0.05\), \(b = 1.1\), and \(c = -250\).

2. Apply the quadratic formula: \[x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\]

3. Substitute the coefficients into the formula and calculate the solutions for \(x\).

The final answer will provide the values of \(x\) obtained from the quadratic formula.

1. Identify the coefficients:

  - \(a = 0.05\)

  - \(b = 1.1\)

  - \(c = -250\)

2. Apply the quadratic formula:

[tex]\[x = \frac{-1.1 \pm \sqrt{(1.1)^2 - 4 \cdot 0.05 \cdot (-250)}}{2 \cdot 0.05}\][/tex]

3. Calculate the solutions for \(x\):

[tex]\[x_1 = \frac{-1.1 + \sqrt{1.21 + 500}}{0.1} \approx 47.5\][/tex]

[tex]\[x_2 = \frac{-1.1 - \sqrt{1.21 + 500}}{0.1} \approx -549.5\][/tex]

Answer:There is high probability that getting two green marbles.

Step-by-step explanation:

Answer: y = 2x^4

The graph represents a parabolic-looking shape so it's either a quadratic or some even degree polynomial. This rules out y = -2x^3 and y = 2x^3 as they are cubics with odd degrees

The degree of a polynomial is the largest exponent. It determines the end behavior. In this case, both ends are rising upward together. Because they are rising up in the positive y direction, this means that we cannot have y = -2x^4 as the answer. For example, if x = 2 then y = -2*x^4 = -2*2^4 = -32, but the point (x,y) = (2,-32) isn't on the blue curve. So we can rule y = -2x^4 out.

The fact that y = 2x^4 has a positive leading coefficient tells us that the endpoints point upward.  

Answer:

its A

Step-by-step explanation:

the y intercept would be -4 and the slope would be -23, put it in y=mx+b form

Final answer:

The equation of a line with a slope of -23 and a y-intercept of -4 is y = -23x - 4, which corresponds to the option A.

Option A is correct.

Explanation:

The equation of a line is typically written in the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. For a line with slope −23 and a y-intercept of −4, we substitute the given values  −23 for m and −4 for b to get the equation y = −23x −4. Therefore, the correct option is A. y=−23x−4.

Answer:

Let charge per day be $x  and charge per mile be $y  

then:

as per the given condition we have;

3x + 300y =159          .....[1]

5x + 600y = 289       .....[2]

Multiply equation [1] both sides by 5 we get;

[tex]5(3x+300y) = 5 \cdot 159[/tex]

Using distributive property: [tex]a \cdot(b+c) = a\cdot b+ a\cdot c[/tex]

15x+1500y = 795                 .....[3]

Multiply equation [2] by 3 both sides we get;

[tex]3(5x+600y) = 3 \cdot 289[/tex]

Using distributive property: [tex]a \cdot(b+c) = a\cdot b+ a\cdot c[/tex]

15x+1800y = 867                    .....[4]

Subtract equation [3] from [4] to eliminate x and solve for y;

15x+1800y-15x-1500y = 867 -795

Combined like terms;

300y = 72

Divide both sides by 300 we get;

[tex]y = \frac{72}{300}=0.24[/tex]

⇒  y =$0.24 per mile.

Now substitute this value y in equation [1] to solve for x;

3x + 300(0.24) =159

3x + 72 =159

Subtract 72 both sides we get;

3x + 72 -72 = 159 -72

Simplify:

3x = 87

Divide both sides by 3 we get;

[tex]x = \frac{87}{3} = 29[/tex]

Therefore, the best rental charges per day is, $ 29 and the charges per mile is, $0.24

The problem can be solved by setting up a system of linear equations from the given information. Then, solving these equations will yield the daily fee and mileage fee that Best Rental charges.

To solve this problem, we can create a system of linear equations. Let's denote the daily fee as 'd' and the mileage fee as 'm'

From Barney's rental, we know that 3d + 300m = 159.

From Mary's rental, we know that 5d + 600m = 289.

We solve these two equations to find the values of 'd' and 'm'. This is an application of algebra in solving real-world problems

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For [tex]\( n = 0, 1, \) and \( 2 \)[/tex], the inequality [tex]\( 3n < 18 \)[/tex] holds true. These are the values that satisfy the inequality.

To solve the inequality 3n < 18, we need to find values for ( n ) that make the inequality true. Here are three such values:

n = 0 , n = 1 , n = 2

Let's go through the detailed calculation step-by-step:

Starting with  n = 0:

Plug  n = 0  into the inequality:

[tex]\( 3(0) < 18 \)[/tex]

Simplify:

[tex]\( 0 < 18 \)[/tex]

Since ( 0 ) is less than ( 18 ), this statement is true.

Next,  n = 1 :

Plug  n = 1 into the inequality:

[tex]\( 3(1) < 18 \)[/tex]

Simplify:

[tex]\( 3 < 18 \)[/tex]

Again, this statement is true.

Finally, [tex]\( n = 2 \)[/tex]:

Plug [tex]\( n = 2 \)[/tex] into the inequality:

[tex]\( 3(2) < 18 \)[/tex]

Simplify:

[tex]\( 6 < 18 \)[/tex]

This statement is also true.

Therefore, for [tex]\( n = 0, 1, \) and \( 2 \)[/tex], the inequality [tex]\( 3n < 18 \)[/tex] holds true. These are the values that satisfy the inequality.

4 rectangles are 3 in x 2 in = 6 square inches each.

4 * 6 = 24 square inches.

2 squares are 3 in x 3 in = 9 square inches each

2 * 9 = 18 square inches.

Total area = 24 + 18 = 42 square inches.

Answer:

see explanation

Step-by-step explanation:

(a)

1.2² = 1.2 × 1.2 = 1.44

(b)

2³ + 17 - 3 × 4 ← evaluate exponent and multiplication before adding/subtracting

= 8 + 17 - 12 = 25 - 12 = 13

(c)

9² ÷ 3³ ← evaluate exponents before dividing

= 81 ÷ 27 = 3

Answer:

a = 1.44

b = 21.6

c = 3

Step-by-step explanation:

a is 1.44 because 1.2 × 1.2 = 1.44

b is 21.6 because 2 × 2 × 2 = 8 so it is 8 + 17 - 3.4 which is 21.6

c is 3 because 9 × 9 = 81 and 3 × 3 × 3 = 27 so 81 ÷ 27 = 3