In how many different ways can 10 be written as a sum of odd numbers

State all integer values of x in the interval (2,8) that satisfy the following inequality:

lidiya [134]

Answer:

3,4,5,6 and 7

Step-by-step explanation:

Given

$5x + 4 \ge 19$

Required

State the values of x within 2 and 8

$5x + 4 \ge 19$

Collect Like Terms

$5x \ge 19 - 4$

$5x \ge 15$

Divide both sides by 5

$\frac{5x}{5} \ge \frac{15}{5}$

$x \ge 3$

(2,8) is an open interval which means that 2 and 8 are not inclusive of the values of x.

So:

The values of $x \ge 3$ are: 3,4,5,6 and 7

3 0

2 years ago

Please explain i will mark brainliesttt!

Sati [7]

Answer:

Answer is given below with explanations.

Step-by-step explanation:

$given \: the \: line \: n \: passes \: through \\ \: ( - 3, - 7.5) \: \: and(2, - 5) \\ the \: equation \: of \: the \: line \: is \\ \frac{y - y1}{y2 - y1} = \frac{x - x1}{x2 - x1} \\ here \: x1 = - 3 \: \: \: y1 = - 7.5 \\ and \: \: x2 = 2 \: \: \: y2 = - 5 \\ \frac{y - ( - 7.5)}{ - 5 - ( - 7.5)} = \frac{x - ( - 3)}{2 - ( - 3)} \\ \frac{y + 7.5}{ - 5 + 7.5} = \frac{x + 3}{2 + 3} \\ \frac{y + 7.5}{2.5} = \frac{x + 3}{5} \\ dividing \: by \: 5 \: on \: both \: side s\\ \frac{y + 7.5}{0.5} = \frac{x + 3}{1} \\ 0.5(x + 3) = y + 7.5 \\ 0.5x + 1.5 = y + 7.5 \\ 0.5x - y - 6 = 0 \\ is \: the \: required \: equation.$

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION. 

5 0

3 years ago

Explain your answer!! Will give brainlst

Novosadov [1.4K]

• So we know that.....

x represent bags of snack and y is bottles of water.

This equations shows the total amount and the cost of each water bottle and snack:

20.00 = 2.50x + 1.00y

Total: $20.00
Snack: $2.50
Water Bottle: $1.00

And this question shows the total items:

11 = x + y

Which there will be some snack + some water bottle = 11 items

—————————————————————

• Now I’m going to first solve for x, which is the amount of bags of snack.

I will use the equation, 11 = x + y.

(First, we’ll subtract y from both side, since we’re solving for x [UNDO])

11 = x + y
-y = - y
_______
11 - y = x —> so x is equal to 11 minus y.

—————————————————————

• Now we’re going to plug the 11 - y as x in the equation: 20.00 = 2.50x + 1.00y to solve for y.

20.00 = 2.50 (11 - y) + 1.00y

20.00 = 27.5 - 2.50y + 1.00y (Distributed)

20.00 = 27.5 - 1.50y (Combine like terms)

20.00 = 27.5 - 1.50y
-27.5 = -27.5 (Subtract -27.5 both side)
——————————
-7.5 = - 1.50y

-7.5 = -1.50y
—— ——— (Divide both side by -1.50)
- 1.50 = -1.50

5 = y

y is equals to 5, which means that there are 5 water bottles.

Now we know there are 11 items total and because there are 5 water bottles, there will be 6 bags of snacks. 11-5=6

—————————————————————

ANSWER:

They bought 6 bags of snacks! :)

4 0

3 years ago

In Part C, you determined that the proper ratio of packages of buns, packages of patties, and jars of pickles is 3:2:4. If you w

aivan3 [116]

Answer: packages of buns: 100

packages of patties: 67

jars of pickles: 133

(100,67,133)

Step-by-step explanation: packages of buns: B

packages of patties: P

jars of pickles: J

B:P:J = 3:2:4

B + P + J = 300

Let x be the number we must multiply the numbers to obtain the quantity and keep the ratio.

Bx + Px + Jx = 300

3x + 2x + 4x = 300

x = 300/9

So,

3.300/9 = 100

2.300/9 = 66.6666

4.300/9 = 133.333

As we cannot buy 0.666 or 0.33 of patties and pickles, we round up

So: packages of buns: 100

packages of patties: 67

jars of pickles: 133

7 0

3 years ago

In the diagram below AB is parallel to CD what is the value of y

Mashutka [201]

Answer:

y=60 due to adjacent angle

5 0

3 years ago

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