Find three consecutive multiples of four such that three times the first one plus four times

Graph the lines by finding the points of intersection with the axes (intercepts):

Ostrovityanka [42]

To solve this problem you must apply the proccedure shown below:

1. You have the following function:

$y=-\frac{1}{2} (x-1)$

2. You can rewrite it as following:

$y=\frac{(-x+1)}{2}$

3. The line intersects the y-axis when $x=0$ , therefore:

$y=\frac{(0+1)}{2}=\frac{1}{2} =0.5$

4. The line intersects the x-axis when $y=0$ :

$0=\frac{(-x+1)}{2}\\ 0=-x+1\\ x=1$

5. Now plot the points (0, 0.5) and (1,0) in a graph , as you can see in the figure attached.

Therefore, the answer is: The points of intersection are (0, 0.5) and (1,0).

5 0

3 years ago

Read 2 more answers

39. The ratio of new houses to antique houses in a village is 4:5. If there are

jeyben [28]

Step-by-step explanation:

☄ $\underline{ \underline{ \text{Question }}}:$ The ratio of new houses to antique houses in a village is 4 : 5 . If there are 12 new houses , how many antique houses are there ?

☄ $\underline{ \underline{ \text{Solution}}} :$

✏ Let , the number of antique houses in a village be ' x ' .

Then , According to the question :

$\sf{ \frac{Number \: of \: new \: houses}{Number \: of \: antique \: houses} \: = \: \frac{4}{5}}$

⤑ $\sf{ \frac{12}{x} = \frac{4}{5}}$

Apply cross product property

⤑ $\sf{4 \times x = 12 \times 5}$

⤑ $\sf{4x = 60}$

⤑ $\sf{ \frac{4x}{4} = \frac{60}{4}}$

⤑ $\sf{x = 15}$

So, The number of antique houses in a village is 15.

$\red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \bold{15}}}}}}$

Hope I helped ! ♡

Have a wonderful day / night ツ

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7 0

2 years ago

What is the value of y? PLEASE EXPLAIN<br> 8.5 = y/3 <------ Fraction

NISA [10]

Answer:

y=25.5

Step-by-step explanation:

To find y, you need to get it by itself. Ask yourself, what is being done to y, then to undo that, do the opposite. For example, if 3 was added to y, you would need to subtract 3 to cancel out the 3. In this case, what is being done to y? It's being divided by 3. So, you multiply by 3 to cancel that out. Whatever you do to one side of an equation, you also have to do to the other. So,

8.5= $\frac{y}{3}$ Multiply both sides by 3

3(8.5) = 3( $\frac{y}{3}$ ) multiply on the left side, and on the right side the 3s cancel out

25.5=y

5 0

2 years ago

Write 675,000,000 in scientific notation.

Lostsunrise [7]

Answer:

= 6.75 × 10^8

Step-by-step explanation:

7 0

3 years ago

(14.14) larry reads that 1 out of 6 eggs contains salmonella bacteria. so he never uses more than 5 eggs in cooking. if eggs do

melomori [17]

we know that

The probability that "at least one" is the probability of exactly one, exactly 2, exactly 3, 4 and 5 contain salmonella.

The easiest way to solve this is to recognise that "at least one" is ALL 100% of the possibilities EXCEPT that none have salmonella.

If the probability that any one egg has 1/6 chance of salmonella

then

the probability that any one egg will not have salmonella = 5/6.

Therefore

for all 5 to not have salmonella

= (5/6)^5 = 3125 / 7776

= 0.401877 = 0.40 to 2 decimal places

REMEMBER this is the probability that NONE have salmonella

Therefore

the probability that at least one does = 1 - 0.40

= 0.60

the answer is

0.60 or 60%

6 0

3 years ago