The sum of two consecutive integers is 245 what is the smaller integer?

Answer:

6000 pieces of candy will be made in a 4 hour shift

Step-by-step explanation:

the ratio is 18000/12 if you find the unit it would be 1,500 pieces per 1 hour. multiply that by 4 and you would get 6000.

Answer:

x=-4

x=14

Step-by-step explanation:

Absolute Value Equation entered :

     3|5-x|+2=29

Step by step solution :

STEP

1

:

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

     3|-x+5|+2 = 29

Another term is moved / added to the right hand side.

     3|-x+5| = 27

STEP

2

:

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is 3|-x+5|

For the Negative case we'll use -3(-x+5)

For the Positive case we'll use 3(-x+5)

STEP

3

:

Solve the Negative Case

     -3(-x+5) = 27

    Multiply

     3x-15 = 27

    Rearrange and Add up

     3x = 42

    Divide both sides by 3

     x = 14

STEP

4

:

Solve the Positive Case

     3(-x+5) = 27

    Multiply

     -3x+15 = 27

    Rearrange and Add up

     -3x = 12

    Divide both sides by 3

     -x = 4

    Multiply both sides by (-1)

     x = -4

    Which is the solution for the Positive Case

STEP

5

:

Wrap up the solution

x=14

x=-4

Solutions on the Number Line

Two solutions were found :

x=-4

x=14

Answer:

Don t get the question

Step-by-step explanation:

Answer:

y

x

Step-by-step explanation:

simple stuff, which part don't you get?

Answer:

2 years: 30

5 years: 75

7 years :105

10 years:150

i think those are the answer

Step-by-step explanation:

take the interest percentage and divide by 100 ex:5.2%100= 0.052

take the dollar amount and multiply interest decimal ex:$ 450*0.052=23.40

take the sum of dollar amount and interest decimal and multiply by # of years of interest ex:3 years *23.40 =70.20 interest and that is how you do it      

Nishi will have amounts as $3300, $3750, $4050, and $4500 after 2, 5, 7, and 10 years respectively.

The formula for simple interest is:

I = Prt

Where:

I = Interest earned

P = Principal (amount invested)

r = Interest rate (as a decimal)

t = Time (in years)

Using the simple interest formula to calculate how much Nishi will have after a certain number of years.

2 years:

I = Prt = 3000 x 0.05 x 2 = $300

Total amount after 2 years = P + I = $3300

5 years:

I = Prt = 3000 x 0.05 x 5 = $750

Total amount after 5 years = P + I = $3750

7 years:

I = Prt = 3000 x 0.05 x 7 = $1050

Total amount after 7 years = P + I = $4050

10 years:

I = Prt = 3000 x 0.05 x 10 = $1500

Total amount after 10 years = P + I = $4500

Learn more about the simple interest here:

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Answer:

-4/9

Step-by-step explanation:

-2/9*2/1

-4/9

Answer:-4/9

Step-by-step explanation:used a caculator

Answer:

1 1/3 = y

Step-by-step explanation:

12 = 6x + 3y

12 = 9y

12/9 = y

1 1/3 = y

Hope this helped!

Answer:

5/9 6/9 7/9 8/9

Answer:

1/2020

Step-by-step explanation:

We can set up an equation, where x is the number that, when divided by itself, is 2020 times itself:

x/x = 2020*x

The left-hand side reduces to 1:

1 = 2020*x

Now, you can divide both sides by 2020:

x = 1/2020

To check, we can divide 1/2020 by itself:

[tex]\frac{\frac{1}{2020}} {\frac{1}{2020}} = \frac{1}{2020}\cdot \frac{2020}{1} = \frac{2020}{2020} = 1[/tex]

1 is indeed 2020 times 1/2020.

We have that

x=4.95*10^{-4}

From the question we are told

What is the only real number which, when divided by itself, is 2020

times itself

Generally the equation for the statement  is mathematically given as

[tex]\frac{x}{x}=2020*x\\\\1=2020*x\\\\x=\frac{1}{2020}\\\\x=4.95*10^{-4}[/tex]

Hence

the only real number which, when divided by itself, is 2020

times itself is

[tex]x=4.95*10^{-4}[/tex]

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Answer:

A

Step-by-step explanation:

Answer:

0 or No solutions

Step-by-step explanation:

hope this helps!

Answer:

(1,6)

Step-by-step explanation:

Since the parabola is symmetrical at x=-2, we know that if you take the value for (x-a) and (x+a) where a is any constant, the y values will be the same for both of those x coordinates. so, we can take the coordinate that we know, (-5,6), realize that it is -3 away from -2. then we can add three to get 1 and use the same y coordinate, getting (1,6)

Answer:

No.

Step-by-step explanation: If we look at the first conveyor belt, the rate is 12ft in 3 seconds, or 4 feet a second. The second conveyor belt moves at 21 feet in 7 seconds, or 3 feet a second. Since the two values are unequal, we can conclude it is not a proportional relationship.

Answer:

One

Step-by-step explanation:

Find the value of B

Applying the law of sines

[tex]\frac{a}{sin(A)}[/tex] = [tex]\frac{b}{sin(B)}[/tex]

substitute the given values

[tex]\frac{23}{sin(61)}[/tex] = [tex]\frac{24}{sin(B)}[/tex]

sin (B) = [tex]\frac{24}{23}[/tex]Sin(61)

step 2

Find the measure of angle C

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

61 + 65.87 + C = 180

C = 53.13

step 3

Find the value of c

Applying the law of sines

[tex]\frac{a}{sin(A)}[/tex] = [tex]\frac{c}{sin(C)}[/tex]

substitute the given values

[tex]\frac{23}{sin(61)}[/tex] = [tex]\frac{c}{sin(53.13)}[/tex]

c = [tex]\frac{23}{sin(61)}[/tex]SIN (53.13)

C=21.04 units

so

there can only be one value for each measurement, therefore there can only be one triangle

Answer:

The answer is 2 triangles

Step-by-step explanation:

I took the test.

Answer:

x+(x+7)=91

Step-by-step explanation:

Hope this helps :)

Answer:   your answer for the smaller number is 38.5 and the larger number is 52.5.

Step-by-step explanation:

To make sure it's right, I just add the numbers together.

Your Problem:

91 ÷ 2 = 45.5

45.5 + 7 = 52.5

45.5 - 7 = 38.5

52.5 + 38.5 = 91

Answer:

A ratio equal to 56:64 would be 7:8.

Step-by-step explanation:

7:8 is the simplest form

Answer:

Simplify it to get an equivalent ratio, i.e 7:8!

Hope this helps :))

Answer:

y=60 or 60=y

Step-by-step explanation:

22+54= 76

76=y+16

60=y or the other way around

Answer:

54

Step-by-step explanation:

126+54=180

Answer: -20/3

Step-by-step explanation:

Answer: It equals -8/3

Answer:

X = 4 and Y = 5

Step-by-step explanation:

Answer:

Around .53 cents for 1 pound

Step-by-step explanation:

Answer:

53 cents

Step-by-step explanation:

2.65 divided by 5 is .53 (53 cents)

Therefore, Antonia payed 53 cents for 1 pound of onions. Honestly though, I think Antonia is kinda gross... I mean 5 POUNDS OF ONIONS?!?!? Disgusting.

Answer:

it'd be 3,752

Step-by-step explanation:

since the perimeter is 268 X 14 = your answer

Answer:

JD Drew will have 88 hits after 50 games

Step-by-step explanation:

Linear Modeling

It consists of modeling real-life situations by a function whose graph is a straight line.

The equation of a line can be expressed as:

h=m.g+b

h=number of hits JD Drew has

g=number of games

m,b= constant values

The problem provides two conditions: after 22 games, JD Drew has 32 hits. This is the point (22,32). Also, it has been given after 36 games he has 60 hits. This is the point (36,60).

Substituting the ordered pairs given, we have:

32=m.22+b

60=m.36+b

Subtracting both equations:

60 - 32 = 14m

28 = 14m

Solving:

m = 2

Using the first equation:

32 = (2)*22+b

32 = 44 + b

Solving:

b = -12

The model is now complete:

h = 2g - 12

Finally, calculate the number of hits for g=50 games:

h = 2*50 - 12

h = 100 - 12 = 88

JD Drew will have 88 hits after 50 games

Answer:

x = 10

Step-by-step explanation:

Original Equation:

15 = 3x - 15

Add 15 to both sides

30 = 3x

Divide both sides by 3

10 = x

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x = 10

All you have to do is add 15 to both sides, and you have

30 =3x

and divide by 3

you get

10 = x

Answer: a) 4 b) -3 c) 2

Step-by-step explanation:

a) m = (6 - 2)/(1 - 0) = 4

b) (0, 3), (1, 0)

m = (0 - 3)/(1 - 0) = -3

c) (1, 3), (2, 5)

m = (5 - 3)/(2 - 1) = 2

Answer:

Step-by-step explanation:

time taken to reach the max height is expressed according to the projectile equation;

tmax = u/g

Given u = 30m/s

g is the acceleration due to gravity = 9.81

t = 30/9.81

t = 3.0secs

hence it will take the flare 3.06secs to reach its maximum height.

Max height = u²/2g

Max height = 30²/2(9.81)

Max height = 900/19.62

Max height = 45.87m

If the people set off an emergency flare from a height of 2 meters above the water, the total height will be 45.87 + 2 = 47.87m

Answer:

Step-by-step explanation:

0.25×7+0.05×7+0.10d=2.70

7(0.25+0.05)+0.10d=2.70

7(0.30)+0.10d=2.70

2.10+0.10d=2.70

0.10d=2.70-2.10

0.10d=0.60

d=0.60/0.10=6

Hence D