Find the sum of the first 7 terms of the following series, to the nearest integer. 125,50,20,...

Answer:

Smaller #: 19

Larger #: 70

Step-by-step explanation:

Step 1:

We can set the smaller number as x. We can find the larger number by adding 51, hence represented as 51+x.

Step 2:

We can write an equation with the given information. Four times the smaller number is equal to six more than the larger:

[tex]4x=51+x+6\\3x=57\\x=19[/tex]

If the smaller number represented as x is [tex]\fbox{19}[/tex] , then the larger number represented as 51+x would be [tex]\fbox{70}[/tex] .

I hope this helps! Let me know if you have any questions :)

Answer:

Sales tax=3.00, total paid=47.79

Step-by-step explanation:

37.50 x .08=3.00 sales tax

37.50+3.00=40.50 amount with sales tax added

40.50 x .18=7.29 amount of tip

40.50 + 7.29=47.79 total with tip and sales tax

which type of data is best displayed in a histogram?

-----------------

C) The daily number of movie tickets sold in January.

Answer:

x = 15

Step-by-step explanation:

[tex]cosx = sin(\frac{\pi}{2} - x)[/tex]

[tex]sin x = sin y = > x = sin^{-1}(sin y) = y => x = y[/tex]

[tex]sin(2x + 7)^{\circ} = cos(4x - 7)^{\circ}\\\\sin(2x + 7)^{\circ} = sin(\frac{\pi}{2} - (4x - 7))\\\\(2x + 7) = (\frac{\pi}{2}- (4x -7))\\\\2x + 7 = \frac{\pi}{2} - 4x + 7\\\\6x = \frac{\pi}{2}\\\\x = \frac{\pi}{12}[/tex]

x = 15

Answer:

"24 pounds" is the appropriate answer.

Step-by-step explanation:

According to the question, the equation will be:

⇒ [tex]x+y=60[/tex]...(equation 1)

or,

⇒ [tex]\frac{55}{100}x+\frac{30}{100}y=\frac{40}{100}\times 60[/tex]

      [tex]55x+30y=2400[/tex]...(equation 2)

Now,

By multiplying (equation 1) by 55 and (equation 2) by 1, we get

⇒ [tex]55x+55y=3300[/tex]...(equation 3)

⇒ [tex]55x+30y=2400[/tex]...(equation 4)

From equation 3 and 4, we get

⇒ [tex]25y=900[/tex]

       [tex]y=\frac{900}{25}[/tex]

          [tex]=36[/tex]

By putting the values of "y" in equation 1, we get

⇒ [tex]x=60-36[/tex]

       [tex]=24[/tex]

Thus the value of x be "24 pounds".

Answer:

4 Containers Can Be Filled By Each Two Pound Bag Of Candy .

Step-by-step explanation:

GIven   Two Pound Bag Of Candy Used To Fill Container That hold [tex]1\frac{1}{2}[/tex] Pound Each .

Now There are 4 Container of Capacity [tex]1\frac{1}{2}[/tex]  Pound Needed To fill Exactly 3 two Pound Bags .

Thus 4 container have Total capacity Of 6 Pound . Which Is Easily Filled By The 3 two Pound Bags . ( Without Any Loss )

Answer:

sdf ss shesty summer

Step-by-step explanation:

sheisty summer

Answer:

125.00

Step-by-step explanation:

Answer:

A. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).

Step-by-step explanation:

Here we have the system:

2x - 3y = -6

y = -(1/3)*x - 4

First, remember that if the slope is negative, then the equation is decreasing.

So, for the second equation, as x increases, y decreases, then the line of the second equation is the red one (because the red one decreases).

So the blue one represents the equation 2x - 3y = -6

Also remember that the solution of a system of equations is the point where the graphs of the equations intersect, here we can see that the intersection happens at the point (-6, - 2)

This means that the solution of the system is  (-6, - 2)

From this, we can see that the correct option is:

A. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).

A: The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).

Answer:

17.1

Step-by-step explanation:

Substitute 3 in place of x first, find the last side of the triangle using the Pythagorean theorem.

2x = 2*3 = 6

5x+1 = 5*3+1 = 16

[tex]a^{2} +b^{2} =c^{2} \\\\6^{2} +16^{2} =c^{2}\\17.1 = c[/tex]

Answer:

I estimate he hit 400 bats.

Step-by-step explanation:

I am going to set up a ratio to solve.

Joseph hits about 2 out of every 5 bats, and we want to find out the number of hits we had if he was up to bat 1,000 times.

[tex]\frac{2}{5} = \frac{x}{1000}[/tex]

Cross multiply to solve.

2(1000) = 5(x)

2000 = 5x

Divide by 5 on both sides.

X = 400

I estimate he hit 400 bats.

Answer:

3.2 days

Step-by-step explanation:

All you have to do is divide 8 by 2.5

8 ÷ 2.5 = 3.2

Answer:

x+6 and x+7

Step-by-step explanation:

Given the quadratic equation;

x^2 + 13x + 42

Factorize

x^2+13x+42 = 0

x^2 + 7x + 6x + 42 = 0

x(x+7)+6(x+7) = 0

(x+6)(x+7) =0

Hence the required binomials are x+6 and x+7

Answer:

[tex]Number\ is\ \frac{3}{4}[/tex]

Step-by-step explanation:

Let the number be x

Subtract 1/2 from x = (x - 1/2)

Multiply 1/2 to the result = 1/2(x - 1/2)

The result is 1/8

That is,

            [tex]\frac{1}{2}( x - \frac{1}{2}) = \frac{1}{8}\\\\( x - \frac{1}{2}) = \frac{1}{8}\times \frac{2}{1}\\\\(x-\frac{1}{2}) = \frac{1}{4}\\\\x = \frac{1}{4} + \frac{1}{2}\\\\x = \frac{3}{4}[/tex]

The sum of the 3 inside angles equal 180

To find the missing angle subtract the 2 known angles from 180.

R = 180 - 114 - 32 = 34

R = 34 degrees

Answer:

63 were sold

Step-by-step explanation:

Multiply the total number of new houses by the fraction that were sold

81 * 7/9

Rewriting

81 /9 * 7

9 * 7

63

Answer:

63 new house have been sold this year.

Step-by-step explanation:

New houses have been sold this year is given by

➛ 81 × 7/9

➛ 9 × 7 .. ( 81 / 9 = 9 )

➛ 63

Answer:

[tex]Find~x:-[/tex]

[tex]4x-37=49[/tex]

[tex]4x=49+37[/tex]

[tex]x=21.5[/tex]

[tex]Find ~y:-[/tex]

[tex]y/5=4x-3[/tex]

[tex]y=5(4*21.5-3)[/tex]

[tex]y=415[/tex]

Answer:

Claire should have gotten –2y = –8 instead of 2y = –8 in step 4.

Step-by-step explanation:

Following the steps taken :

4x - 2y = 4 - - - (1)

3x + 3y = 21 - - - (2)

Multiply (1) by 3 and (2) by 2

12x - 6y = 12 - - - (3)

6x + 6y = 42 - - - (4)

Add (3) and (4)

18x = 54

x = 54/18

x = 3

Put x = 3 in (1)

4(3) - 2y = 4

12 - 2y = 4

-2y = 4 - 12

-2y = - 8 (this is where the mistake lies)

It shouldn't be 2y = - 8 as stated

Answer:

The other dude is right.

Step-by-step explanation:

Answer:

1099.2 pounds

Step-by-step explanation:

Given data

Weight= 133 pounds

Percentage of far= 12.1%

Let the total fat be x

So

12.1/100*x= 133

0.121*x=133

x= 133/0.121

x= 1099.1735 pounds

x= 1099.2 pounds

Answer:

40 pieces of wood

Step-by-step explanation:

Find how many pieces he cut by dividing 10 by 1/4

10 / (1/4)

= 40

So, Dan cut 40 pieces of wood

Answer:

After

days and after

days.

By solving a quadratic equation, we will see that the attendance will be the same after 5 days and after 35 days.

This will happen for the values of x such that:

y = -x^2 +35x + 100 = y = -5x+275

There says that the attendance for movie A is the same as the one for movie B. So we just need to solve that.

We can write the equation as:

-x^2 +35x + 100 = -5x+275

If we simplify this, we get:

-x^2 + 35x + 100 + 5x - 275 = 0

-x^2 + 40x - 175 = 0

This is a quadratic equation, the two solutions are given by Bhaskara's formula, we will get:

[tex]x = \frac{-40 \pm \sqrt{(40ft)^2 - 4*(-1)*-175)} }{2*-1} \\\\x = \frac{-40 \pm 30}{-2}[/tex]

So the two solutions are:

x = (-40 + 30)/-2 = 5

x = (-40 - 30)/-2 = 35

So, the attendance will be the same after 5 days and after 35 days.

If you want to learn more about quadratic equations, you can read:

https://brainly.com/question/1214333

Answer:

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

the graph shows that 2 pounds of coffee would be about $4

Answer:

false.

Step-by-step explanation:

because if you look 1 pounds is 2 dollars

Explanation:

Divide the adjacent side UQ = 28 over the hypotenuse QE = 53 to form the cosine of Q. The adjacent side is the side closest to the reference angle. The hypotenuse is always opposite the right angle.

The fraction 28/53 cannot be reduced further since 28 and 53 have no factors in common other than 1.

Answer:

28/53

Step-by-step explanation:

To find the value of cos(Q), you need to divide the adjacent, 28, and the hypotenuse, 53. Dividing them results to 28/53, and simplified is, I don't think you can simplify that. This answer might not be totally correct.

Just remember in the future,

And you can use this link for help

https://www.mathsisfun.com/sine-cosine-tangent.html

Answer:

AB - secant

DB - diameter

AB - chord

OB - radius

BC - tangent

(In the order they are in the picture)

Step-by-step explanation:

AB - The line goes through the circle and does not go through the center. This fits  the definition of a secant, so line AB is a secant.

DB - Segment DB goes through the center and has endpoints on the circle. This fits the definition of a diameter, so DB is a diameter.

AB - Segment AB has endpoints on the circle and does not go through the center. This fits the definition of a chord, so segment AB is a chord.

OB - Segment OB is basically from the center to a point on the circle. This fits the definition of a radius, so segment OB is a radius.

BC - Line BC intersects the circle in only one point and does not go through it. This fits the definition of a tangent, so line BC is a tangent.

Answer:

sen α  =  - 4/5

cos α  =  - 3/5

Step-by-step explanation:

tang α  = 4/3

De la relación fundamental de la trigonometría sabemos:

sen² α   +  cos²α  = 1

Dividiendo la ecuación anterior por cos² α

sen²α/cos²α   +  cos²α / cos²α   =  1 / cos² α

tang²α  +  1   = 1/ cos² α

(4/3)²  +  1  =  1/ cos² α    ⇒    16/9   +  1  = 1/ cos² α

1/ cos² α    =  ( 16  +  9  ) / 9

1/ cos² α    =   25/9

cos² α   = 9/25

cos α    =  3/5

y para calcular el sen α  

sen² α   =  1  - cos²α

sen² α   =  1  - 9/25

sen² α   =  ( 25  -  9 )/ 25

sen² α   =  16/25

sen α  = 4 / 5

Ahora bien el angulo α  está en el tercer cuadrante, en ese cuadrante tanto el seno como el coseno son negativos.

Respuesta:

sen α  =  - 4/5

cos α  =  - 3/5

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Ali's age = x

Given that, Omar is 6 years younger than Ali

So, Omar's age = [tex]\large\bold{x - 6}[/tex]

✐ Omar's age in terms of 'x' is x - 6 years.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer: 30,000

Step-by-step explanation:

1. The monthly payment for a $3,200 five-year loan with an APR of 9% is $63.

2. The monthly payment is $1,587.

3. The total amount of the monthly payments is $191.

a.  From the table, we can see that the monthly payment per $1,000 principal for a five-year loan with a 9% APR is $19.57.

Since the loan amount is $3,200, we can calculate the monthly payment by multiplying the monthly payment per $1,000 principal by the number of thousands in the loan amount:

= $19.57 x (3,200 / 1,000)

= $62.624

= $63.

b. From the table, we can find that the monthly payment per $1,000 principal for a four-year loan with a 7.25% APR is $24.06.

We can calculate the monthly payment by multiplying the monthly payment per $1,000 principal by the number of thousands in the loan amount:

= $24.06 x (66,000 / 1,000)

= $1,586.76

= $1,587.

c.  From the table, we can find that the monthly payment per $1,000 principal for a two-year loan with an 8.75% APR is $31.34.

We can calculate the total amount of monthly payments by multiplying the monthly payment per $1,000 principal by the number of thousands in the loan amount:

= $31.34 x (6,100 / 1,000)

= $191.234

= $191.

Learn more about Monthly Payment here:

https://brainly.com/question/26192602

#SPJ2

Answer:

It should be D.