solve each equation for the unknown
1. 5 + y = 7.
2. 3.8 = a + 2.5
5. + p = 9 1/3 ​

The process of solving a proportion is given below.

We are given that;

To show the process of solving a proportion

Now,

A proportion is an equation that states that two ratios are equal. For example, if we have 2 4 = 3 6[tex]{\\displaystyle {\\frac {2} {4}}= {\\frac {3} {6}}}[/tex] , then we have a proportion.

To solve a proportion, we need to find the value of a missing term that makes the equation true. There are different methods to solve a proportion, but one common method is cross-multiplication. Here are the steps to solve a proportion by cross-multiplication:

Multiply the numerator of one ratio by the denominator of the other ratio.

For example, if we have 2 4 = x 6

[tex]{\\displaystyle {\\frac {2} {4}}= {\\frac {x} {6}}}[/tex] , then we multiply 2 by 6 and get 12.

Multiply the denominator of the first ratio by the numerator of the second ratio.

For example, if we have 2 4 = x 6

[tex]{\\displaystyle {\\frac {2} {4}}= {\\frac {x} {6}}}[/tex] , then we multiply 4 by x and get 4x.

Set the two products equal to each other. For example,

if we have [tex]2 4 = x 6 {\\displaystyle {\\frac {2} {4}}= {\\frac {x} {6}}}[/tex], then we set 12 = 4x.

Solve for the missing term. For example, if we have 12 = 4x, then we divide both sides by 4 and get x = 3.

Check your answer by plugging it back into the original proportion.

For example, if we have x = 3, then we plug it back into 2 4 = x 6 [tex]{\\displaystyle {\\frac {2} {4}}= {\\frac {x} {6}}}[/tex] and get 2 4 = 3 6

[tex]{\\displaystyle {\\frac {2} {4}}= {\\frac {3} {6}}}[/tex] , which is true.

Therefore, by proportion answer will be given below.

More can be learned about proportions at;

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Answer:

the price Mr. Quick paid is=$1343

I think I can help you with this

you can easily solve this by using a rule of three

Step one

find the discount value  if

$1580⇒  100%

$x? ⇒ 15%

do the relation

the discount is $237

the price Mr. Quick paid is

the price Mr. Quick paid is=regular price - discount

the price Mr Quick paid is=$1580-$237

the price Mr Quick paid is=$1343

I hope it helps, Have a great day!!! :)

Step-by-step explanation:

Answer:

-9/2

Step-by-step explanation:

6(x+2)=2(x-3)

6x+12=2x-6

6x-2x+12=-6

4x+12=-6

4x=-6-12

4x=-18

x=-18/4

simplify

x=-9/2

Answer:

two ways to get this

1 by unit analysis

l / g → m / (m/s^2) → s^2  

so you'd need  

root of l/g to get s (time units)

2

from the formula

T = 2 pi sqrt(L/g)

Step-by-step explanation:

two ways to get this

1 by unit analysis

l / g → m / (m/s^2) → s^2  

so you'd need  

root of l/g to get s (time units)

2

from the formula

T = 2 pi sqrt(L/g)

Answer:

-5n + 20

Step-by-step explanation:

n stands for the term number so if you want to find the 50th term all you have to do is substitute n with 50

first of all find the difference between each number in the sequence

the difference between 25 and 20 is -5

the difference between 20 and 15 is -5

the difference between 15 and 10 is -5

the difference between 10 and 5 is minis -5

because

25-5=20

20-5=15

15-5=10

10-5=5

now that you know the the difference you place the number in front of n like this

-5n

to find the rest all you need to do is use the difference between each number which is -5 and do it on the first number

so 25 - 5

this gives 20

so our nth term is -5n + 20

if you still don't get i can re-explain it to you

Answer:

the 20 +2

Step-by-step explanation:

Answer:

$78

Step-by-step explanation:

Can i be brain list

Answer:

Step-by-step explanation:

for the width

16-h=7

16-7=h

h=9

(g+4)=65

g=65-4

g=61degrees

The value of each variable in the parallelogram:

h = 9 and g = 61°.

A special form of quadrilateral called a parallelogram has both pairs of its opposite sides parallel and equal.

Given:

The shape is a parallelogram.

That means, the opposite sides are parallel and equal.

16 - h = 7

h = 16 -  7

h = 9

And opposite angles of a parallelogram are also equal.

g+4 = 65

g = 65 - 4

g = 61°

Therefore, the values are g = 61° and h = 7.

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Answer:

This spyware is detected 66% of times.

Step-by-step explanation:

We have these following percentages:

Seventy percent of the time the spyware arrives via the internet, and in this case is detected 60% of the time.

Thirty percent of the time the spyware arrives via e-mail, and in this case is detected 80% of the time.

What percentage of times is this spyware detected

0.7*0.6 + 0.3*0.8 = 0.66

This spyware is detected 66% of times.

Answer:

y = -1/3x + 3

Step-by-step explanation:

Slope = -1/3

Y-intercept = (0, 3)

Answer:

C) 27 degrees

Step-by-step explanation:

N+63=90

-63. -63

N=27

Answer:

20

Step-by-step explanation:

60%-> 12

100%->20

Answer:

20

Step-by-step explanation:

Answer:

3)x=−9  and x=4

4)x=−12  and x=−5

5)x=8  and x=14

6)x=−7  and x=3

7)x=-1 2/3 and x = 1/4

8)x=2/5

Step-by-step explanation:

Hope this helps

Answer:

They will both pay $63.50 a month

Step-by-step explanation:

Since they paid $752 total and $499 as a security deposit, you subtract the two, getting you $253 in rent for both months.  Divide that answer by 2 to get $126.5 to get how much they payed each month together, then divide by 2 again to get how much they each payed which is $63.50

Answer:

False

Step-by-step explanation:

I got that they intercepted at (10.857,0.4286)

y=1/2x-5

y=-3x+33

Answer:

61

Step-by-step explanation:

90 divided by 36 is 2.5 add 10 to the 90 then multiply 10 by 2.5 you get 25 then add 25 to 36 witch gives u 61.  90/36=2.5x10=25+36=61

/ is for division. Hope it helps.

Answer:

4y + 10

Step-by-step explanation:

Since the perimeter of a rectangle is 2(l + w), where l is the length and w is the width, the perimeter of this rectangle would be

2((y + 5) + y)

To simplify this, just add similar terms inside the parentheses and multiply them both by 2.

2(2y + 5)

4y + 10

Answer:

60

Step-by-step explanation:

write 120 like this: 120/2

Then just multiply the numerators.

Which gets you 120/2.

Then change it it to a mixed fraction which is 60.

Answer:

175.77 dollars

Step-by-step explanation:

15% off 189.00 is 160.65 then you take that answer and add on the sales tax from the original price.  Doing 189.00 x 8 percent gets you 15.12 dollars.

Add 160.65 + 15.12 to get 175.77 dollars.

Answer:

40cm

Step-by-step explanation:

Centimeter means "one hundredth of a meter," so:

1 m = 100 cm

How many meters times 100 will get you how many cm:

2/5m = ? cm

2/5 (100) = ? cm

200/5 = ? cm

40 = ? cm

2/5m = 40 cm

Answer:

0.941192 = 94.1192% probability that all are shipped on time

Step-by-step explanation:

For each order, there are only two possible outcomes. Either they are shipped on time, or they are not. The probability of an order being shipped on time is independent of other orders. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The probability that a customer's order is not shipped on time is 0.02.

So 1 - 0.02 = 0.98 probability of being shipped on time, which means that [tex]p = 0.02[/tex]

A particular customer places three orders

This means that [tex]n = 3[/tex]

(a) What is the probability that all are shipped on time

This is [tex]P(X = 3)[/tex].

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{3,3}.(0.98)^{3}.(0.02)^{0} = 0.941192[/tex]

0.941192 = 94.1192% probability that all are shipped on time

Answer:

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

10% = 10/100 = 10 ÷ 100 = 0.1.

100% = 100/100 = 100 ÷ 100 = 1.

Increase the number by 10% of its value.

Percentage increase = 10% × 2,880

New value =

2,880 + Percentage increase =

2,880 + (10% × 2,880) =

2,880 + 10% × 2,880 =

(1 + 10%) × 2,880 =

(100% + 10%) × 2,880 =

110% × 2,880 =

110 ÷ 100 × 2,880 =

110 × 2,880 ÷ 100 =

316,800 ÷ 100 =

3,168

Calculate absolute change (actual difference)

Absolute change (actual difference) =

New value - 2,880 =

3,168 - 2,880 =

288

Step-by-step explanation:

Answer:

Note that per 1/4 tsp of baking soda you need ample amount of acidity which is about 1 cup of buttermilk, 1 cup of brown sugar, 1 teaspoon of lemon juice, or 1 teaspoon of vinegar. Baking Without Baking Soda OR Baking Powder

Step-by-step explanation:

Answer:

Option C, dP/dt=1/5P

Step-by-step explanation:

The change is population of insects is directly proportional to the rate of change of population

Hence,

[tex]\frac{dP}{dt} \alpha P[/tex]

Or [tex]\frac{dP}{dt} = kP[/tex]

where K is the proportional constant

We will find the value of k

Keeping the given values of rate of change of population and population in above equation, we get -

[tex]\frac{2}{10} = k\\k = \frac{1}{5}[/tex]

Hence,

[tex]\frac{dP}{dt} = \frac{1}{5} P[/tex]