Find the sum of the first 48 terms of the following series, to the nearest integer. 7,11,15

Answer:

40min

Step-by-step explanation:

Since the ratio is 2:16, we want simplify. both 2 and 16 are dividable by 2.

2 / 2 = 1

16 / 2 = 8.

Now we can use the ratio 1 mile per 8 min. We want the rate of how many min to miles, so we'd multiply 5 by 8 which equals 40.

Therefore it takes him 40min to run 5 miles.

Hope this helps!

Answer:

1/6

Step-by-step explanation:

6 sides. 1 face with number 1. 1/6

5 pounds - 1.89

3 pounds - 1.99

1 pound - 2.05

In this case, the 5 pounds of chicken is the cheapest by exactly one dime.

Answer:

x = 2 y = 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = 7x + 10

slope-intercept form of a linear equation

Answer:

113

Step-by-step explanation:

The supplement of angle 3 is congruent to 67, because they are corresponding angles. After you subtract the supplement from 180, you should get angle 3

180-67=113

Answer:

∠3 measures 113°

Step-by-step explanation:

These are consecutive interior angles. It's difficult to explain in words because none of the lines are marked in any way, but I marked the angles in the attached image. Because both downward facing lines are parallel, both sets of corresponding red and blue angles are congruent.

∠3 corresponds to the angle supplementary to the 67° angle. Supplementary angles add up to 180°, so ∠3 and 67° also have to add up to 180°. Hopefully my image makes that a little more clear.

[tex]x+67=180\\x=113[/tex]

∠3 measures 113°

The equations and the number of hotdogs and sodas sold are:  x+ y = 126 and 2.25x + 1.50y = 225.75 ; 49 hot dogs and 77 sodas.

Two equations can be derived from this question:

2.25x + 1.50y = 225.75 equation 1

x + y = 126 equation 2

Where:

x = number of hotdogs sold

y = number of soda sold

In order to determine the value of y, multiply equation 2 by 2.25

2.25x + 2.25y = 283.50 equation 3

Subtract equation 1 from 3

57.75 = 0.75y

y = 77

Substitute for y in equation 2

x + 77 = 126

x = 49

To learn more about simultaneous equations, please check: brainly.com/question/23589883

Answer:

The correct answer is A) x + y = 126 and 2.25x + 1.50y = 225.75 ; 49 hot dogs and 77 sodas

Step-by-step explanation:

hope this helps

Answer:

The first graph.

Step-by-step explanation:

You can see on the first graph that all of the y values and x values add up with what you need.

Answer:

110 ounces :))

Step-by-step explanation:

The domain of the graph is  [tex]-8<x\leq 9.5[/tex] while the range of the graph is [tex]-4\leq x<4[/tex].

For the graph, the domain will be the values of the graph along the x-axis.

Learn more on domain and range here: https://brainly.com/question/1942755

Answer:

[tex]18[/tex]

Step-by-step explanation:

Step 1:  Input the values and solve

[tex]b - 7a[/tex]

[tex](4) - 7(-2)[/tex]

[tex]4 - (-14)[/tex]

[tex]4 + 14[/tex]

[tex]18[/tex]

Answer:  [tex]18[/tex]

Answer:

1,041.61

Simply stack the numbers (lining up the decimals) and add right to left.

Answer:

pi/3, 5pi/3

Step-by-step explanation:

We can see that when cosine is at 1/2, the angle measures are pi/3 degrees and 5pi/3 degrees. You can use a unit circle to find this. You can also find arccos(1/2), but that will only give you the value pi/3, not 5pi/3.

We can plug these in to find that they are indeed equal to 1/2.

The x-value that corresponds to a y-value of 1/2 between π and 2π is π/3.

Here, we have,

To find the x-value that corresponds to a y-value of 1/2 between π and 2π for the equation y = cos(x), we can use the inverse cosine function (also known as arccosine or cos⁻¹).

The inverse cosine function will give us the angle whose cosine is a specific value.

In this case, we want to find the angle whose cosine is 1/2.

Using the inverse cosine function, we can write the equation as:

x = arccos(1/2)

To solve this equation, we need to evaluate the inverse cosine of 1/2. In general, the inverse cosine of a value returns an angle between 0 and π (180 degrees). In this case, we are interested in finding an angle between π and 2π.

The value of arccos(1/2) is π/3.

Therefore, the x-value that corresponds to a y-value of 1/2 between π and 2π is π/3.

It's important to mention that the cosine function is periodic, so there are multiple x-values that can correspond to a y-value of 1/2. In this case, we have chosen the x-value that lies between π and 2π.

To learn more cos-function click:

https://brainly.com/question/14286244

#SPJ4

G&M is agreeing to pay the bondholder the interest amount of $35 each year until January 1, 2025.

Using this formula

Interest=Bond amount× Interest rate

Where:

Bond amount=$1,000

Interest rate=3.5% or 0.035

Let plug in the formula

Interest=$1,000×0.035

Interest=$35 each year

Inconclusion G&M is agreeing to pay the bondholder the interest amount of $35 each year until January 1, 2025.

Learn more about interest rate here:https://brainly.com/question/25545513

Answer:

Translate from words to mathematical equation.

"n is m% of what?"

m% = m/100

what = a variable ... "x". for example.

"is" means "="

"of" means multiply

n = (m/100)•x

Answer:

3 months

a quarter is a period of three months

Step-by-step explanation:

Answer:

D. The typical value is greater in set A. The spread is greater in set B.​

Step-by-step explanation:

     The typical value is greater in set A.

[] We can see that the red arrow already shows this, but the average (add up all the numbers and divide by number or numbers) in set A is greater than in set B as 7 > 6.

     The spread is greater in set B.​

[] The spread can also be thought of as the range (largest number - smallest number) so the spread is greater than B since 7 > 3.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

Each number is called a factor

Step-by-step explanation:

The multiplication of two numbers is equivalent to adding as many copies of one of them

Answer:

419

Step-by-step explanation:

a=3

d=11-3=8

[tex]a_{n}=a+(n-1)d\\n=53\\a_{53}=3+(53-1)*8\\=3+52*8\\=3+416\\=419[/tex]

Answer:

Slope: 7/5 , Y-int: 1/5

Step-by-step explanation:

To find the slope, lets use the points (-3,-4) and (2,3)

The slope formula is (y2-y1)/(x2-x1) so we will plug in the numbers.

(3-(-4))/(2-(-3))=7/5. 7/5 is the slope (you can also do rise over run)

We find the y-int in many ways but i will show two.

We can make an equation in point-slope form. The formula is: y-y1=m(x-x1) and we use the point (-3,-4).

y-(-4)=7/5(x-(-3))

y+4=7/5x+21/5 (then move the 4 to the other side)

y=7/5x+1/5

The 1/5 is our y-int since we now have it in slope intercept form!

The other method we can use is putting it into slope intercept form first and using (-3,-4) to find the missing variable.

Slope intercept form is y=mx+b, let m be slope, b is y int, and (x,y) is our point

-4=(7/5)(-3)+b

-4=-21/5+b (move -15/7 to other side)

1/5=b !

we get the same answer I hope this helps sorry its long

Answer:

495-75=m m=420

Step-by-step explanation:

He needs to save 495 dollars, and hes already saved 75

and needs to find out how much more he needs to save to have 495 dollars

To do this, take 495 and subtract 75. This is how we get the inequality

495-75=m

From here it is simple, just subtract 75 from 495 to get 420

Answer:

B, the second one down on the first page

Step-by-step explanation:

hope this helps! :D

brainliest is immensely appreciated!! <3

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Explanation:

We have 6 slots to fill A,B,C,D,E,F

There are 6 choices for choice A, then 5 choices for slot B, 4 for C, and so on until we reach one choice for slot F. Count down by 1 each time a slot is filled.

Multiply out those values to get: 6*5*4*3*2*1 = 720

For more information, check out the concept of factorials.

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Another approach is to use the nPr permutation formula which is

[tex]_nP_r = \frac{n!}{(n-r)!}[/tex]

where in this case n = 6 and r = 6.

Answer: 50/63 or 0.793650

Step-by-step explanation:

[tex] \frac{76}{90} [/tex]

-_-