Represent "The product of 5 and a number z" mathematically.

Answer:

first term a1 is -40.

Step-by-step explanation:

in an arithmetic series,

sum of first term terms (S10) = -20

Common difference (d) = 4

first term (a)= ?

number of terms (n)= 10

now,

S10 =( n÷2) [a1 +(n-1) d]

or, -20 = (10÷2) [a1 + (10-1) 4]

or, -20 = 5 ( a1 + 36)

or, -4 = a1 + 36

or, a1 = -40

[tex]\blue\star[/tex]s10 = -20

[tex]\blue\star[/tex]n = 10

[tex]\blue\star[/tex] an = -20

[tex] \green\star[/tex] solution

[tex] \green\star[/tex]s10 = n\2 [a+(n-1)d]

[tex] \green\star[/tex]-20 = 10a2[a+(10-1)4]

[tex] \green\star[/tex]-4 = a +36

[tex] \green\star[/tex]a1 = -40

[tex]\small\boxed{a = -40}[/tex]

Hope it helps.

Hope it helps

Hey there! I'm happy to help!

A prime number is a number whose only factors are one and itself. 5 is a prime number because the only whole numbers you can multiply to get 5 are 1 and 5.

Prime factorization is finding the prime numbers that multiply to make that number.

To do this, you see what numbers it divides by. 15 is divisible by 1, giving us 15. It is not divisible by 2, but it is divisible by 3, which gives us 5.

Now, we see if 3 and 5 can be factorized even more, but they cannot as they are both prime numbers. Therefore, the prime factorization of 15 is 3,5.

Have a wonderful day! :D

Answer: Cada chico recibira 5.25

Answer:

Percent error = 2%

Step-by-step explanation:

Given:

Expected value = 250

Actual value = 255

Find:

Percent error

Computation:

Percent error = [(Actual value - Expected value)/Expected value]100

Percent error = [(255 -250) / 250]100

Percent error = 2%

Answer:

Its 6% because |E−T||T|×100

=(250−235)|235|×100

=15235×100

=0.0638298×100

=6.38298%

=6.38298%error

Step-by-step explanation:

Answer:

(14, 9 )

Step-by-step explanation:

Given

[tex]\frac{x}{7}[/tex] + [tex]\frac{y}{3}[/tex] = 5 ( multiply through by 21 to clear the fractions )

3x + 7y = 105 → (1)

[tex]\frac{x}{2}[/tex] - [tex]\frac{y}{9}[/tex] = 6 ( multiply through by 18 to clear the fractions )

9x - 2y = 108 → (2)

Multiplying (1) by - 3 and adding to (2) eliminates the term in x

- 9x - 21y = - 315 → (3)

Add (2) and (3) term by term to eliminate x

- 23y = - 207 ( divide both sides by - 23 )

y = 9

Substitute y = 9 into either of the 2 equations and evaluate for x

Substituting into (1)

3x + 7(9) = 105

3x + 63 = 105 ( subtract 63 from both sides )

3x = 42 ( divide both sides by 3 )

x = 14

Solution is (14, 9 )

Answer:

B) {1,2,3,4}

Step-by-step explanation:

Since they are separate points and not on a function, you take the y value of each

Answer:

1.999396

Step-by-step explanation:

square of 1.414=1.999396

square root of 1.999396=1.414

Answer:

10 seconds

Step-by-step explanation:

Distance = 200 m

Velocity = 20m/s

Time =?

[tex]time = \frac{distance}{velocity} \\ time = \frac{200m}{20m/s} \\ time = 10 \: seconds[/tex]

Answer:

96 minutes.

Step-by-step explanation:

17 miles = 204 minutes

1 mile = ?

204/17 = 12 minutes

1 mile = 12 minutes

8 miles = ?

8 × 12 = 96 minutes

It would take Liset 96 minutes to run 8 miles.

Answer:

Step-by-step explanation:

In a tent, there are nine boys.

There were five tents.

5 tents containing 9 boys can equal 45 boys.

(5 x 9 = 45)

In a cabin, there are seven boys.

There were four cabins.

4 cabins containing 7 boys can equal 28 boys.

(4 x 7 = 28)

Now, to find all the boys, add the numbers together.

28 boys with 45 boys will equal 73 boys.

Please check my answer for no one, not even me is right.

Good luck :)

Answer:

The answer is below

Step-by-step explanation:

An equation is a mathematical statement that shows the equality between two expressions.

From the table, the average weight of the hamster at birth is 2 grams. The average weight of gerbil at birth is 2/3 of that of hamster. Let g represents the weight of the gerbil at birth, hence the weight can be gotten by solving the equation:

2/3 of hamster weight at birth = Average weight of gerbil at birth

2/3 × 2 grams = g

g = 2/3 × 2 grams = 4/3 grams = 1.33 grams

The average weight of gerbil at birth = 1.33 grams

Step-by-step explanation:

-3a + 20 = 3a + 20

-6a + 20 = 20

-6a = 0

a = 0

Answer: a=0

Step-by-step explanation:

Given

3a-6a+20=8a+24-5a-4

Combine like terms on both sides

-3a+20=3a+20

Subtract 3a on both sides (subtractive property of equality)

-6a+20=20

subtract 20 on both sides (subtractive property of equality)

-6a=0

Divide -6 on both sides (division property of equality)

a=0

Hope this helps!! :)

Please let me know if you have any question or need further explanation

Answer:

33

Step-by-step explanation:

8b - 5r

Let b = 6   r = 3

8*6 - 5*3

48 - 15

33

Answer:

33

Step-by-step explanation:

So we have the expression:

[tex]8b-5r[/tex]

And we want to evaluate it when b is 6 and r is 3. Substitute:

[tex]=8(6)-5(3)[/tex]

Multiply:

[tex]=48-15[/tex]

Subtract:

[tex]=33[/tex]

And that's our answer :)

Answer:

12

Step-by-step explanation:

M is in the middle between S and T we know 2x+6 has to be the same as 3x+3 if 3x is one more x then 2x then we do 6-3 that eqauls 3 so X=3 and 2*3=6 and 6+6= 12.

Hey there! :D

Answer:

[tex]\huge\boxed{SM = 12}[/tex]

SM = 2x + 6

MT = 3x + 3

M is the midpoint of SM

Write an expression to represent the length of ST:

ST = SM + MT

ST = 2x + 6 + 3x + 3

Combine like terms:

ST = 5x + 9

Since ST = 2(SM), set up another equation:

5x + 9 = 2(2x + 6)

5x + 9 = 4x + 12

Isolate the "x" variable:

5x - 4x = 12 - 9

x = 3.

Substitute in this value of "x" into the equation for SM:

2(3) + 6 = 12.

Answer:

Below

Step-by-step explanation:

● Make sure you write the polynomials correctly. Pay attention to the + and - signs.

● Combine like terms: variables with variables and constants with constants

● Combine the variables with the same power. For example 2x^2 with 5x^2

● write the terms left after combining

Answer:

d =32

Step-by-step explanation:

[tex]\sqrt{7d+1}-4=11\\\\\mathrm{Add\:}4\mathrm{\:to\:both\:sides}\\\sqrt{7d+1}-4+4=11+4\\\\Simplify\\\sqrt{7d+1}=15\\\\\mathrm{Square\:both\:sides}:\quad 7d+1=225\\7d+1=225\\\\\mathrm{Solve\:}\:7d+1=225:\\\quad d=32[/tex]

Answer:

d = 32

Step-by-step explanation:

[tex]\sqrt{7d-1} -4+4=11+4[/tex]

[tex]\sqrt{7d-1} =15[/tex]

[tex]7d+1=15 *15[/tex]

[tex]7d+1=225[/tex]

[tex]7d=225-1[/tex]

[tex]7d=224[/tex]

[tex]d=\frac{224}{7}[/tex]

[tex]d=32[/tex]

Answer:

m+p/2=n

Step-by-step explanation:

You can't get any other multiplication factor, so the only way is to isolate n, by adding p to m and dividing by 2

Answer:

f(3) =6

Step-by-step explanation:

[tex]f(x) =x^2 -x\\\\f(3) = ?\\\\f(3) = (3)^2 -3\\f(3) = 9-3\\f(3) =6[/tex]

Answer:

[tex]\huge \boxed{\sf{f(3)=6}}[/tex]

Step-by-step explanation:

[tex]\sf f(x)=x^2-x[/tex]

For f(3), the input or x value is 3.

[tex]\sf f(3)=3^2-3[/tex]

Evaluate the expression.

[tex]\sf f(3)=9-3[/tex]

[tex]\sf f(3)=6[/tex]

Answer:

The rational numbers are a dense subset of the real numbers because every real number either is a rational number or has a rational number arbitrarily close to it.

Answer:

Informally, for every point in X, the point is either in A or arbitrarily "close" to a member of A — for instance, the rational numbers are a dense subset of the real numbers because every real number either is a rational number or has a rational number arbitrarily close to it (see Diophantine approximation).

Answer: 130°

Step-by-step explanation:

supplementary angle: ∠A+∠B=180°

x+(2x+30)=180

x+2x+30=180

   3x+30=180

          3x=150

            x=50

2(50)+30=100+30=130°

Hope this helps!! :)

Please let me know if you have any question

Answer:

  use your compass to copy the length to a new line

Step-by-step explanation:

To make a line segment that has the same length as another, set your compass width to the length of the one you want to copy, and use that to mark the length on the line where you want your copy.

Use a straightedge to draw a line longer than JK.

AD is congruent to JK.

Answer:

3500

Step-by-step explanation:

53 is closer to 50 and 73 is closer to 70, so 50*70 is 3500, which is the closer bet.

Answer:

the value of <BAC= 30° ...

Answer:

Hey there!

3y=-4x+6

y=-4/3x+2

Thus, the slope is -4/3.

Hope this helps :)

Answer:

the slope is -4/3

Step-by-step explanation:

3y = -4x + 6

y=-4/3 x +6/3

y=-4/3 x+2

the slope is -4/3

Answer:

80 and 83.6660026534

Step-by-step explanation:

The square root of 6400 is 80 and the square root of 7000 is 83.6660026534 so it would be between these two.

Answer:

1.691

Step-by-step explanation:

.971 + .72

Answer:

1.691

Step-by-step explanation:

What number is 0.72 more than 0.971?

To solve your question, you're gonna have to add the two numbers together.

[tex]0.72+0.971[/tex]

  0.971

+0.72

_______

          1

  0.971

+0.72

_______

        91

  0.971

+0.72

_______

     691  

  1

  0.971

+0.72

_______

   1.691

So your answer is

[tex]1.691[/tex]

Hope this helped!

Answer:

8

Step-by-step explanation:

It went from 7 to 15?

Answer:

9 cups

Step-by-step explanation:

1 quart= 4 cups

4 quart= ? cups  (crisscross)

4 quart=16 cups

16-7= 9 cups

Answer:

[tex] {r}^{2} + \: 2[/tex]

Step-by-step explanation:

Let the no. be r . It's square will be r^2 .

When r^2 is added with 2 , then it's sum is r^2 + 2