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avanturin [10]
3 years ago
9

Find the sum of all integers between 50 and 500 which are divisible by 7.

Mathematics
1 answer:
sineoko [7]3 years ago
4 0

To find the answer, we can first find the total number divisible by 7 of 50 and 500 separately:

50÷7 = 7.14...

there are 7 divisible for 50.

500÷7= 71.42...

there are 71 divisible for 500.

We can then deduct the number of divisible for 50 from 500 to find the answer:

71-7

=64

Therefore, the answer is 64.

Hope it helps!

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How do i solve x squared = 4x -5
ICE Princess25 [194]

Answer:

x = 2 ±i

Step-by-step explanation:

x^2 = 4x-5

Subtract 4x from each side

x^2 - 4x = 4x-5 -4x

x^2 - 4x= -5

Complete the square

Take the coefficient of the x term, divide by 2 and square it

-4/2 =2   2^2 =4

Add 4 to each side

x^2 -4x+4 = -5 +4

The left side is (x-coefficient of the x term/2)^2

(x-2)^2 = -1

Take the square root of each side

sqrt((x-2)^2) = sqrt(-1)

x-2 = ±i

Add 2 to each side

x-2+2 = 2 ±i

x = 2 ±i

6 0
2 years ago
Solve for x. The triangles in each pair are similar
liubo4ka [24]
9x +1= 0
9x/9 +1-1=0
X= 9-1
X= 8
3 0
2 years ago
A pair of parallel lines are cut by a transversal. Which of the following statements about the new angle pairs are now always tr
Hoochie [10]

Answer:

The true statements are:

* The Corresponding Angles Congruent ⇒ B

* Same Side Interior Angles are supplementary ⇒ C

* Alternate Interior Angles are congruent ⇒ F

Step-by-step explanation:

∵ Lines m and l are parallel

∵ Line t intersects them

∵ Corresponding angles are equal in measures

∴ ∠1 = ∠5 ⇒ corresponding angles

∴ ∠3 = ∠7 ⇒ corresponding angles

∴ ∠2 = ∠6 ⇒ corresponding angles

∴ ∠4 = ∠8 ⇒ corresponding angles

∵ The alternate interior angles are equal in measures

∴ ∠3 = ∠6 ⇒ alternate interior angles

∴ ∠4 = ∠5 ⇒ alternate interior angles

∵ The same side interior angles are supplementary

∴ m∠3 + m∠ 5 = 180° ⇒ same side interior angles

∴ ∠3 and ∠5 are interior supplementary angles

∴ m∠4 + m∠ 6 = 180° ⇒ same side interior angles

∴ ∠4 and ∠6 are interior supplementary angles

The true statements are:

* The Corresponding Angles Congruent ⇒ B

* Same Side Interior Angles are supplementary ⇒ C

* Alternate Interior Angles are congruent ⇒ F

6 0
2 years ago
What is the range of the function f(x) = 4x + 9, given the domain D = {-4, -2, 0, 2}?
anyanavicka [17]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

f( - 4) = 4( - 4) + 9 =  - 7

_________________________________

f( - 2) = 4( - 2) + 9 = 1

_________________________________

f(0) = 4(0) + 9 = 9

_________________________________

f(2) = 4(2) + 9 = 17

_________________________________

Thus ;

R = { - 7 , 1 , 9 , 17 }

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The correct answer is (( D )) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

3 0
2 years ago
Convert 185 degrees Celsius to degrees Fahrenheit. Round<br> your answer to the nearest degree
lakkis [162]

Hello! :3

Answer:

The Correct Answer is <u><em>365 °F</em></u>

Step-by-step explanation:

The C to F formula is(C ~x~ 9/5) + 32 = F

When we do 185 for C in the formula, we get(185 ~x~ 9/5) + 32 = F.

To solve,  (185 ~x~ 9/5) + 32 = F. we first multiply 9 by 185, then we divide the product by 5, and then finally we add 32 to the quotient to get the answer.

185~x~9=1665

1665  /5=333

333+32=355

Therefore, the answer to 185 C to F is 365 which can be written like this

⇒ 185 °C = 365 °F

hope this helps you!

Have an Awesome Thursday!

-Joseph-

3 0
2 years ago
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