Can someone help me with this problem

Answer:

The first term is:

Step-by-step explanation:

The arithmetic sequence is defined by

[tex]a_n=a_1+\left(n-1\right)d[/tex]

where

[tex]a_1[/tex] is the first term

[tex]d[/tex] is the common difference

as

the 17th term of an arithmetic sequence is 51.

i.e. [tex]a_{17}=51[/tex]

so

[tex]a_n=a_1+\left(n-1\right)d[/tex]

[tex]a_{17}=a_1+\left(17-1\right)d[/tex]        

[tex]51=a_1+\left(17-1\right)7[/tex]         ∵ [tex]n = 17[/tex], [tex]a_{17}=51[/tex] , [tex]d=7[/tex]

[tex]a_1+112=51[/tex]                   ∵ [tex]\left(17-1\right)\cdot \:\:7=112[/tex]

[tex]a_1=-61[/tex]

Therefore, the first term is:

Answer:

b = [tex]\frac{7}{5}[/tex] = 1.4

Step-by-step explanation:

[tex]\frac{2b - 3 }{5}[/tex] = [tex]\frac{b - 2}{15}[/tex]

15(2b - 3) = 5(b - 2)

30b - 45 = 5b - 10

25b = 35

5b = 7

b = [tex]\frac{7}{5}[/tex] = 1.4

Check the answer:

[tex]\frac{2(1.4)-3}{5}[/tex] = [tex]\frac{1.4-2}{15}[/tex]

- [tex]\frac{0.2}{5}[/tex] = - [tex]\frac{0.6}{15}[/tex]

- 0.04 = - 0.04

Answer:

Step-by-step explanation:

The slope of (4,5)(9,11) is 6/5

Answer:

5/6 or 1 1/5 and pls read explanation

Step-by-step explanation:

ok so the diff between (x,y) and (x,y) is here:

the diff between x and x (4 and 9) is +5. the diff between y and y (5 and 11) is +6.  you take the reciprocal of 5/6 and that is 6/5 or 1 1/5

Answer:

-812

Step-by-step explanation:

(1×106)-(9×102)

106-918

-812

Answer:

The number of pounds of hamburger meat = x = 54 pounds.

The number of pounds of ground sirloin = y = 21 pounds

Step-by-step explanation:

Let the number of pounds of hamburger meat = x

the number of pounds of ground sirloin = y

How many pounds of each did he use to make 75 pounds of meat mixture that will cost $3.24 per pound?

x + y = 75...... Equation 1

x = 75 - y

A meat distributor paid $2.75 per pound for hamburger and $4.50 per pound for ground sirloin.

$2.75 × x + $4.50 × y = 75 × $3.24

2.75x + 4.50y = 243

We substitute 75 - y for x

Hence,

2.75(75 - y) + 4.5y = 243

206.25 - 2.75y + 4.5 y = 243

Collect like terms

- 2.75y + 4.5 y = 243 - 206.25

1.75y = 36.75

y = 36.75/1.75

y = 21 pounds

Note

x = 75 - y

x = 75 - 21

x = 54 pounds

Therefore:

The number of pounds of hamburger meat = x = 54 pounds.

The number of pounds of ground sirloin = y = 21 pounds

Answer:

D

Step-by-step explanation:

This is the only case where only a simple a addition must be made.

Answer:

The least common multiple (LCM) of two numbers is the smallest number (excluding zero) that is a multiple of both of the numbers. ... The greatest common factor of two (or more) numbers is the product of all the prime factors the numbers have in common.

Answer:

(g-h)(x) = -x^3 - 4x - 2, so the answer is D.

Step-by-step explanation:

(g - h) = -x^3 - 2 - 4x

(g-h)(x) = -x^3 - 4x - 2

Answer: where is the table?

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Answer: I think it is 1- x = 2, 2 times 2 times 2 times 2 = 16

Step-by-step explanation:

Answer

2^5=32

8²=64

2^4=16

hope this helps!

Answer 50 is the answer have a good day

Answer:

50 ribbons

Step-by-step explanation:

To find how many ribbons she can make, divide 32 by 0.64:

32/0.64

= 50

So, she can make 50 ribbons from her roll

Answer:

38 degrees

Step-by-step explanation:

Alternate Exterior Angles Theorem

Answer:

22%

Step-by-step explanation:

So First we subtract 90 and 70 = 20

Then we divide 20 by 90 = which gives us approximately 0.22 then we turn that into a percent by moving the decimal point 2x to the right.

So In conclusion, the percent decrease is 22%

Remember the formula is:

amount of change ÷ by the original amount

Answer:

4

Step-by-step explanation:

Top side: 10x _ = 40

Left side: 18x _ = 40

Right side: 11x _ =44

All the blanks can be answered with 4. Therefore, your answer is 4.

Hope this helps!

-AxekickNebulite

Answer:

1:D,2

2:B:She found that -3(9) is positive

3:D:Evaluated -2^2 as -4

4:Confused, is there supposed to be supplemental info?

Step-by-step explanation:

Answer:

hey.. hi.. emme.. is this morning??? if it is GOOD MORNING ☺️

Answer:

it is b

Step-by-step explanation:

Answer:

After putting the 10% down or $20,000, you will need a loan for $180,000. What interest rate do you have for the 30 years?

Answer:

Step-by-step explanation:

Case 1

O in between A and B

Distance between midpoints:

Case 2

B in between O and A

Distance between midpoints:

Answer: First and second

Step-by-step explanation: I took the test and aced it so i hope this helped!

Answer:

I think it's the first one

Step-by-step explanation:

It’s 16 cause 8x2=16

Answer:

16

Step-by-step explanation:

Multiply 8x2 and then you will get 16.

Answer:

it would be 32. you would take your 26 and add 18 then subtract the 12.

Step-by-step explanation:

hope this helps

Answer:

32

Step-by-step explanation:

x+12-18=26

Subtract the numbers 12 and 18

x-6=26

Add 6 to both sides of the equation

x-6+6=26+6

Simplify- Add the numbers thus getting x=32

Answer:

x = 43

Step-by-step explanation:

since the line is parallel, there are a few relationships that goes on in between the parallel lines with the angles formed by the third line (the third line is known as a transversal)

the two angles shown are same side interior angles because they are on the same side of the transversal and on the inside of the parallel lines

same side interior angles always add up to 180 since, if you put them together, they would form a straight angle

so we can set the equation to x + 27 + x + 67 = 180

add like terms: 2x + 94 = 180

subtract 94 from 180: 2x = 86

divide both sides by 2: x = 43

Answer:

[tex]\dfrac{\$1000+\$20x}{x} \leq \$25[/tex]

Minimum 200 people other than the 2 charity representatives.

Step-by-step explanation:

Given that:

The venue can hold a maximum of 500 people.

Cost of venue = $1000

Per person cost for food = $20

Two charity representatives get to attend the dinner for free.

To find:

The inequality and to determine how many people must come to keep costs at most $25.

Solution:

Let the number of people attending the dinner = [tex]x[/tex]

Cost of food for [tex]x[/tex] people = [tex]\$20x[/tex]

Total cost = $1000 + [tex]\$20x[/tex]

Cost per person = Total cost divided by Number of people attending the dinner.

As per question statement:

[tex]\dfrac{\$1000+\$20x}{x} \leq \$25\\\Rightarrow 1000+20x\leq25x\\\Rightarrow 1000 \leq 5x\\\Rightarrow x\geq 200[/tex]

Therefore, the answer is:

Minimum 200 people other than the 2 charity representatives should attend the dinner.

Answer:

261÷3=87

87×8=696

Step-by-step explanation:

Answer:

696 in 8 hours

Step-by-step explanation:

You would start by dividing 261 by three to see how many you can deliver in just one hour, which would be 87 newspapers. Then you would times your solution by 8, which is the hours, and you would get 696 newspapers. :)

Answer:

I think its 128

Step-by-step explanation:

Answer:

1000, 0, 0, 1.

Step-by-step explanation:

MARK ME BRAINLIEST.

Answer:

1

Step-by-step explanation:

y(x)=4x

y(x)=4

<=>4x=4

<=>x=1

Answer:

P = - 7

Step-by-step explanation:

To solve we must put all the literals (letters) on one side of the operation and all the free numbers on the other. To do this we are going to do the same operations on both sides of the equal sign

- 15 - 3p = 6

So, we are going to add 15 on both sides

- 15 - 3p + 15 = 6 + 15

- 3p = 21

We are goint to divide everything by -3

-3p/-3 = 21/-3

It result:

We check as follows:

We are going to replace the unknown (p) by the value we gave it already (-7)

-15 - 3(-7) = 6

-3 × -7 = +21

-15 + 21 = 6

6 = 6

we have the correct result