Kathryn and her mom drive to her grandmother’s house. They travel 32 miles in 30 minutes. At that rate, how far will they drive in 1 hour? (30 minutes = 12
hour)

Step-by-step explanation:

the inner and the outer angle at a vertex of a triangle are complementary angles or a linear pair of angles.

that means together they have 180°.

180 = inner + outer = 48 + outer

outer = 132°

the exterior angle is 132°.

Answer:

no no lose me das las respuestas

Jasmine was not right in evaluating the expression. She didn't multiply the subtraction signs.

An algebraic expression consists of unknown variables, numbers and arithmetic operators.

To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number.

Therefore, let's evaluate Jasmine expression.

10 - (-3)

we have to open the bracket by multiplying the negative signs.

- × -  = +

Hence,

10 - (-3)  = 10 + 3 = 13

Therefore, Jasmine is wrong. Her mistake was not multiplying the minus sign.

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Answer:

Step-by-step explanation:

t is given that a scuba driver descends in water for 2.8 minutes at a rate of   feet per minute.

Let's assume the descending position as negative.

The position at which the scuba driver will be after 2.8 minutes is :

= -  feet per minute × 2.8 minutes

= - 57.4 feet

Now , he sees a large fish and changes his direction and starts diving ascending at a rate of 25 feet per minute for 2 minutes.

Let's assume the ascending position as positive.

So , The position at which the scuba driver will be after 2 minutes after seeing large fish is :

= 25 × 2

= 50 feet

So , the scuba diver's position relative to sea level after the 4.8 minutes will be :

= -57.4 + 50

= -7.4 feet

This meant Scuba driver is 7.4 feet below sea level.

Answer:

x = 2.3

Step-by-step explanation:

you divide both sides of the equation by 10

He would pay $8500 interest if he can afford payments of $425 per month and can borrow the money at an interest rate of 4% compounded monthly for 5 years.

The expense of borrowing money is interest. It equates to a fee or additional charge the borrower pays the lender for the loaned amount, and is sometimes stated as a percentage. When you make a payment on a loan with simple interest, the money first goes toward the interest for that month and the rest is applied to the principal. Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time. Contrary to compound interest, where we add the interest of one year's principal to the next year's principal to compute interest, the principal amount under simple interest remains constant.

Given,

Principal = $425

Rate = 4%

Time = 5 years

Interest = Principal × Rate × time

Interest:

= 425 × 4×5

= 8500

He would pay $8500 interest if he can afford payments of $425 per month and can borrow the money at an interest rate of 4% compounded monthly for 5 years.

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Answer: 14 is bigger than 8 and x is smaller than 8 so x would be a small number, i bet that x is = to 3 cm

Step-by-step explanation:

I don't know for SURE though :)

The solution is  0.0029

Simplify in mathematics is reducing  an expression, problem or fraction into a simple form.

Rewrite the the expression in mathematical form we have;

[tex]\frac{1 +1 * 34}{19 * 987 - 6961 + 856209 * 0}[/tex]

Simplify the expression

=  [tex]\frac{35}{(19 * 987) - (66961 + (85629 * 0)}[/tex]

Simplify again by subtracting the denominator

=[tex]\frac{35}{18753 - (6961)}[/tex]

= [tex]\frac{35}{11792}[/tex]

= 0.0029 approx..

Therefore, the solution is  0.0029

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Answer:

30 years

Step-by-step explanation:

subtract devaughn's age from the sum of ages

The point B and C are opposite to each other.

A number line is a mathematical visual representation of numbers on a straight line. The digits on a number line are positioned sequentially at regular intervals throughout its length. It frequently appears horizontally and might go on forever in any direction.

As seen from the number line, point A is one unit left of -1 which is -2. Since each mark is a difference of 1 and to the left is a negative value, point B is midway between -1 and 0 is half of -1 which is -0.5, point C is midway between 0 and 1 is basically half of 1 which is 0.5 and point D is halfway between 1 and 2 is exactly that 1.5

As per the numerical values of the given points, the two that are opposites to each other are points B and C. They both have a value of 0.5 on each end of the number line, one being negative while the other is positive, thus they are opposites of each other.

Therefore, points B and C are opposite to each other.

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The given question is incomplete. Here is the complete question:

Which two points on the number line are opposites? A number line goes from negative 2 to positive 2 in increments of 1. There are 4 equal spaces between each number. Point A is 1 mark to the left of negative 1. Point B is halfway between negative 1 and 0. Point C is halfway between 0 and 1. Point D is halfway between 1 and 2.

Answer:

30 x n - 60 = 20 x n

1 day

80

Step-by-step explanation:

Answer:

The mixed number is 1 and 2/5. If it is split into 5 parts.

Step-by-step explanation:

No explanation sorry!

Answer:

Step-by-step explanation:

We already know how to represent whole numbers on the number line. Let us consider the image shown, here, the digits 0 and 1 are represented on the number line.

Representation of 0 and 1 on The Number Line

If we divide the number line into two equal parts, as shown in the figure below, what value does that mid-point hold? Half of what the graduation between 0 and 1 holds.

So, the point represents (1-0)/2 = ½

Fraction - Representation Of Fraction On The Number Line

Thus we saw, to represent a fraction on the number line, we need to divide the line segment between two whole numbers into n equal parts where n represents the denominator of the fraction. For example, if we have to represent the fraction 1/5 on the number line, hence, we need to divide the line segment between 0 and 1 into five equal parts, where the first point as shown in the figure represents the fraction 1/5, the second represents 2/5 and so on.

Fraction Representation

We must note that, 0/5 = 0 here and 5/5 = 1.

Here you have seen the representation of proper fraction on the number line. To represent improper fractions, you first convert them into mixed fractions. The same procedure, as shown above, is used with the whole number as the starting point.

According to the given scale, 400 miles are 8 inches.

Scale

Scale refers the ratio that defines the relation between the actual figure and its model. And it is used in maps to represent the actual figures in smaller units.

Given,

A map has a scale of 1/2 inch equals 25 miles.

Here we need to find how many miles are 8 inches.

Through the given question we know that,

1/2 inches = 25 miles.

Then the 1 inch is equal to,

1 inch = 25 x 2 = 50 miles.

Therefore, the miles equivalent of 8 inches is written as,

=> 8 x 50

=> 400 miles.

Therefore, 8 inches is equal to 400 miles.

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The car's cost 3 years ago was $22,045.45.

According to the question,

We have the following information:

A new car costs $24,250, which is approximately 110% of what a comparable car cost 3 years ago.

Now, let's take the cost of car 3 years to be $x.

So, we have the following expression:

110% of x = 24250

110x/100 = 24250

Using the cross multiplication method:

110x = 24250*100

Dividing both sides by 110 will give us the value of x which is the required cost of car:

x = 2425000/110

x = $22045.45

Hence, the car's cost 3 years ago was $22,045.45.

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The value of m for equation  (m - 3)r² + 9r - 2 = 0 is 57/8.

A quadratic equation is a second-order polynomial equation in a single variable x , ax2+bx+c=0. with a ≠ 0 .

The given equation is (m - 3)r² + 9r - 2 = 0

For the equation to have real and equal roots, the discriminant should be 0.

b²-4ac=0

a=m-3, b=9, c=-2

plug in the values in discriminant

81-4(m-3)(-2)=0

81-4(-2m+6)=0

81+8m-24=0

8m+57=0

m=57/8=7.125

Hence, the value of m for equation  (m - 3)r² + 9r - 2 = 0 is 57/8.

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The decrease of the population from the question can be modeled by;

P = 92000e^-0.02t

We know that the population of a place can be modeled by the use of an exponential model. In the exponential model, there could be an increase or  decrease in the population of a place as the case may be. In this case, we are told that there is a decrease in the population of the place.

Let us note from the question that we have been told that every year after 2010, the population decreased by 2% due to heavy population. We were also made to understand in the question that the initial population of the city is about 92000.

Now, we can write the model as;

P = Poe^-rt

P = population of the area at time t

Po = population initially present

r = rate of population decrease

t = time taken since 2010.

We can now write;

P = 92000e^-0.02t

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The price per pound of meat is $4.60.

Given that hamburger meat is priced at $5.98 for 1.3 pounds of meat.

It should be noted that to find the cost per pound of meat, we will need to divide the value given.

This will be:

= Cost of meat / Pound of meat

= $5.98 / 1.3

= $4.6

The price is $4.60.

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The two ways to determine how much money Amit made in the two weeks are,

$5(3 + 2) = $25 and $5(3) + $5(2) = $25.

What is shell?

A hard, protective outer layer is typically produced by an animal that lives in the sea and is referred to as a shell, seashell, or simply a shell. The animal's body includes the shell. Beachcombers regularly discover empty seashells washed up on beaches.

Given: Amit sold 3 shells last week for $5 each.

And 2 more shells this week for $5 each.

So, the equation which represent the total money is,

$5(3) + $5(2) = $15 + $10 = $25.

Also we can express this equation as,

$5(3 + 2) = $5(5) = $25

Therefore, the two ways to determine how much money Amit made in the two weeks are,

$5(3 + 2) = $25 and $5(3) + $5(2) = $25

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A fraction can easily be written as a percent when the denominator is 100 , the correct option is (a) .

in the question a fraction is given ,

we need to find , what should be the denominator to express the fraction in percent .

the definition of percent states that one part of every hundred is called as percent ,

So , by the definition of percent we can conclude that A fraction can easily be written as a percent when the denominator is 100 .

For Example : 5% can be written as 5/100 , where the denominator is 100 .

Therefore , A fraction can easily be written as a percent when the denominator is 100 .

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i is expression is equivalent to i233.

Given i233

We know that i2 = -1 , if we square (i2) we get (-1)2 = 1

So, if i is multiplied to (i2), we get i3 = (-1).i = -i

Again if i is multiplied to i3 , we get i4 = (-i).i = -i2 = -(-1) = 1

Hence, all even powers of i after 2, will give answer as 1

The sequence will continue as a cycle as i, -1, -i, 1

So, i233 can be rewritten as i232 + 1= i232.i

i233 = (i2)116 .i = (-1)116 . i

Since the power 116 is even , the term becomes 1.i = i

Therefore, i233 = i

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Answer:

The motherboard

Step-by-step explanation:

cardsIt is the base of all chips and

Answer: z=24/7

Step-by-step explanation:

Answer: 18

Step-by-step explanation:

8--20

x--45

x=45*8/20

x=18

Answer:

100 miles

Step-by-step explanation:

Let m be the number of miles.

[tex]100 + .30m = 50 + .80m[/tex]

[tex]100 = 50 + .50m[/tex]

[tex].50m = 50[/tex]

[tex]m = 100[/tex]

Answer:

100

Step-by-step explanation:

You can put into a graph such as desmos and see where the lines intersect. the x value of the intersection is the answer you want.

Answer:

17

Step-by-step explanation:

Se suman todos los números y se divide por el número de números.

¡¡¡Espero que esto ayude!!!

(Translated to English: You add all the numbers together and divide by the number of numbers.  I hope this helps!!!)

Answer:

y = x + 20

30 weeks

Step-by-step explanation:

The given scenario can be modelled using the linear equation:

[tex]y=mx+b[/tex]

where:

Mindy initially owns 20 pairs of shoes. Therefore, the initial value is b = 20.

If Mindy purchases 2 pairs but destroys 1 pair each week, then she is gaining 1 pair of shoes each week.  Therefore, the rate of change is m = 1.

Therefore, the equation is:

[tex]y=x+20[/tex]

where:

To find how long it will take for Mindy's closet to have 50 pairs of shoes, substitute y = 50 into the equation and solve for x:

[tex]\implies 50=x+20[/tex]

[tex]\implies 50-20=x+20-20[/tex]

[tex]\implies 30=x[/tex]

[tex]\implies x=30[/tex]

Therefore, it will take Mindy 30 weeks to have 50 pairs of shoes in her closet.

Answer: 3 1/3

Step-by-step explanation:

Each tick mark marks 1/3 of a space. A is at - 3 1/3. The absolute value of any number is positive and is just the number of spaces a dot is from zero. You can’t have a negative distance, so the answer is 3 1/3.

The time at which the two bottles will have the same amount of water, using linear functions, is of:

26 seconds.

The slope-intercept representation of a linear function is given by the rule shown as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

For the functions in this problem, we have that:

Hence the functions are given as follows:

The time at which they have the same amount is x for which:

P(x) = J(x)

65 - 2.5x = 20 - x

1.5x = 45

x = 45/1.5

x = 30 seconds.

However, at this time, the amount would be of:

J(30) = 20 - 30 = -10.

Which is a negative amount of water, not possible, hence they would have the same amount when Jason finishes, hence:

65 - 2.5x = 0

2.5x = 65

x = 65/2.5

x = 26 seconds.

The problem is:

Jason's water bottle has 20 ounces of water, and he is drinking ata rate of 1 ouncer per second. Pedro's water bottle contains 65 bunces of water, and he is drinking at a rate of 2.5 ouncers per second. At how many seconds, s, will the two bottles have the same amount of water if Jason and Pedro start drinking from each of their bottles at the same time?

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