rearrange the equation to make x the subject a=4x/t-p

Answer:

he waters level dropped inch each hour

Step-by-step explanation:

- Between 10 P.M. and 7:45 A.M., the water level in a swimming pool

 decreased by 13/16 inch

- Assuming that the water level decreased at a  constant rate

- We need to find the drop each hour that means the unit rate of

 decreased of the level of the water

- At first lets hind how many hours between 10 P.M. and 7:45 A.M.

∵ Between 10 P.M. and mid-night 2 hours

∵ Between mid-night and 7:45 A.M. 7 hours and 45 minutes

- Lets change 7 hours and 45 minutes to hours

∵ 1 hour = 60 minutes

∴ 45 minutes = 45 ÷ 60 =  hours

∴ 7 hours and 45 minutes =  hours

∴ The total hours between 10 P.M. and 7:45 A.M. = 2 +  hours

∴ The total hours between 10 P.M. and 7:45 A.M. =

∵ The unit rate of decreased = The decreased level ÷ total hours

∵ The decreased level is  inche

∵ The total hours =  hours

- Lets change the mixed number  to improper fraction

∵  =

∴  =

∵ The unit rate of decreased =   ÷  

- To solve the division of 2 fractions change the division sign to

  multiplication sign and reciprocal the fraction after the division sign

∴ The unit rate of decreases =   ×

∴ The unit rate of decreases =  inch per hour

The water level dropped  inch each hour

Answer:

1/30 inch per hour

Step-by-step explanation:

The time passed was 9 hours and 36 minutes, which is the same as 9.6 hours.

So, the constant rate, in inches per hour, is

[tex]\frac{8/25}{240/25}=1/30[/tex]

Answer:

56

Step-by-step explanation:

1/2 x 14 x 8

use the formula: half times base times height

The length of LN in units is 64 units

The complete question is added as an attachment

From the question, we have the following parameters

LM = 10x + 8

MN = 5x - 4

LN = 12x + 6

The above means that

LN = LM + MN

So, we have

10x + 8 + 5x -4 = 12x + 16

Evaluate the like terms

So, we have

15x +4 = 12x + 16

Collect the like terms

So, we have

15x - 12x = 16 - 4

Evaluate the like terms

So, we have

3x = 12

Divide both sides by 3

x = 4

Next, we substitute x into LN = 12x + 16

So, we have

LN = 12(4) + 16

Evaluate

LN = 64

Hence, the length of LN in units is 64 units

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Answer:

Good

Step-by-step explanation:

it is a

Answer:2400 miles

Step-by-step explanation:

150 miles in 1/2 hour. 150x2=300. 300 miles in 1 hour.300x8=2400. 2400 miles in 8 hours.

Answer:   Product of extremes (numbers on extreme edges) = product of means i.e., ad = bc

a, b, c, d,…. are in continued proportion means, a:b = b:c = c:d

a:b = b:c then b is called mean proportional and b2 = ac

The third proportional of two numbers, a and b, is c, such that, a:b = b:c

d is fourth proportional to numbers a, b, c if a:b = c:d

Step-by-step explanation:

Answer: GoodMorning: ) ✨ According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other. Proportions are denoted using the symbol '::' or '='. For example, 2:5 :: 4:8 or 2/5 = 4/8.

Two values x and y are said to be directly proportional to each other when the ratio x:y always remains the same. Example : If we buy two pen for 50 Rs. It will cost us 100 Rs for four pen. Two values x and y are said to be inversely proportional to each other when the ratio x:y1 always remains the same.

Hope This Helps <3

Step-by-step explanation:

It is important to have C=200 pounds of empty cans, which is the amount of weight in pounds that the class needs to collect.

This is further explained below.

Generally, the equation for empty cans is  mathematically given as

C= books total cost/ current price

Therefore

[tex]C=\frac{50}{(\frac{1}{4})}[/tex]

C= 200

In conclusion, the pounds of empty cans the class has to collect is

C=200 pounds are needed.

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Answer:

5

Step-by-step explanation:

First we'd need to solve 5 x 6. When we solve 5 x 6 we'd get the answer 30. Then do 7 - 3, when we solve that we'd get the answer of 4. Now we add 4 with 2 and we'd get 6. Now we get the 30 and divide it with 6 and get our answer as 5. Therefore our final answer is 5.

I hope this helps, have a blessed day! :)

Answer:

631

Step-by-step explanation:

15+(0.05x131)=21.55

131+500=631

i woll proof the answer here

Step-by-step explanation:

J.o.i.n pqp-yuth-ygd

The number of fliers that he has not posted is 8

Proportion can be defined as the mathematical comparison of two elements or numbers.

From the information given, we have that;

To determine the number of fliers remaining, we have that;

Remaining fliers for the First week

= 84 × 1/6

Multiply and find the quotient

= 14 fliers

Fliers remaining after the last week

= 14 × 4/7

Multiply and find the quotient

= 56/7

= 8 fliers

Thus, the number of fliers the he has not posted is 8

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The key features of the function are

The function is given as

f(x) = |x - 3|

The above function is an absolute value function, and the key feature are:

Generally, the domain of an absolute value function is the set of all real values

This means that

Domain: -∝ < x < ∝

An absolute value function is represented as

f(x) = a|x - h| + k

Where

Vertex = (h, k)

By comparison, we have

Vertex = (3, 0)

a = 1

Because the variable a is positive, the vertex of the function is a minimum

So, the range is [0, ∝)

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The circled graph given at the end of the answer is not a function of x.

The graphs for which we choose the one which is not a function are missing, and are given at the end of the answer.

A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y. Vertically aligned points mean that a value of x is mapped to multiple values of y, that is, a single input is mapped to multiple outputs which disqualify the relation as a function.

For this problem, we have that:

Hence the circled graph given at the end of the answer is not a function of x.

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The depth of the Japan Trench is 9 kilometers. There are 8 km below sea level in the Peru-Chile Trench. The difference of depth between them is 1km.

1. −17 km, and the Japan Trench is deeper is False.

2. −1 km, and the Peru-Chile Trench is deeper is False.

3. 1 km, and the Japan Trench is deeper is True.

4. 17 km, and the Peru-Chile Trench is deeper is False.

Given that,

The depth of the Japan Trench is 9 kilometers. There are 8 km below sea level in the Peru-Chile Trench.

Based on the difference in depth between the Japan Trench and the Peru-Chile Trench, which is 1 km deeper, the Japan Trench is deeper.

The trench that is lower to sea level has a deeper depth. In other words, it is the one that is lower than the others by a wider amount.

The depth of the Japan Trench is 9 kilometers. There are 8 km below sea level in the Peru-Chile Trench. The Japan Trench is hence deeper as a result.

The difference is 9-8=1 km

Therefore, the difference of depth between them is 1km and 3rd option is True which is 1 km, and the Japan Trench is deeper.

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Answer:

c

Step-by-step explanation:

Answer:

about 61.48

Step-by-step explanation:

100-23= 77% of the original price 79.84x.77= 61.4768 round = $61.48

Answer:4

Step-by-step explanation:

tbh because i said so

Answer:

5 7/9

Step-by-step explanation:

3 2/3 + 2 1/9 get the common denominator of 9 by making 2/3 6/9

3 6/9 + 2 1/9 add whole numbers to get 5 and numerators to get 7/9

thus 5 7/9

hope this helps! :)

Answer:

0.8

Step-by-step explanation:

Answer:.9

Step-by-step explanation:

Find the negative reciprocal of the slope of the original line and use the point-slope formula y-y_(1)=m(x-x_(1)) to find the line perpendicular to y(1)/(2)x-5.

y=-2x-5

Step-by-step explanation:

The linear inequality for the statement " the sum of a number and 17.3 is at least −2.8" is  b + 17.3 ≥ - 2.8 which is option B

We are given that the sum of a number and 17.3 is at least −2.8 and we have to form a linear inequality from the information provided

Let the number be b

so, the sum of two numbers would be

b + 17.3

It is given that the sum should be at least - 2.8

this means the sum is either equal to - 2.8 or sum is more than -2.8

So, the linear inequality equation comes to be

b + 17.3 ≥ - 2.8

Hence, the linear inequality for the statement " the sum of a number and 17.3 is at least −2.8" is  b + 17.3 ≥ - 2.8 which is option B

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Answer:

b

Step-by-step explanation:

gimmeeeeee 10000 pointttsss.

Weight is in Olivia's backpack is 5/6 pound.

As in the given problem olivia's  history book weights 1/2 of a pound and

her lunch weighs 2/3 of a pound.

As both the units are same,

Thus total weight must be summation of both history book and her lunch  box.

total weight is =1/2 +2/3 pound

= (3+2)/6

that is equal to 5/6 pound.

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Answer:

1) y=160+0.5x

2) 210 miles=x

According to the question, there are two similar polygon images.

First similar polygon images whose pair coordinates are: (4,15) with (7,5). And the second image whose coordinates are: (13,4) and (14,15).

A closed form in a two-dimensional figure is a polygon. It has a flat, solid form, and all of its sides are attached to one another. In nature, sides need to be straight rather than curled. And the form is completely closed. It starts and ends at the same place. It is a plane form, meaning that only straight lines or line segments make up the shape.

Polygons include shapes like triangles, hexagons, pentagons, and quadrilaterals. The shape's number of sides is indicated by the name. For instance, a triangle has three sides, but a quadrilateral has four.

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[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{6}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 7 -5}{2}~~~ ,~~~ \cfrac{ 6 -4}{2} \right) \implies \left(\cfrac{ 2 }{2}~~~ ,~~~ \cfrac{ 2 }{2} \right)\implies (1~~,~~1)[/tex]

Answer: The least common denominator (LCD) is 1015.

the range of the graphed relation is just:

R: y ∈ {2, 3, 4, 5, 6}

A relation maps elements x into elements y, and for that relation, we define the domain as the set of the possible inputs (values of x) and the range as the set of outputs (set of values of y).

On the table you already wrote we can see that the values of y are:

2, 3, 4, 5, 6

Then the range is just:

R: y ∈ {2, 3, 4, 5, 6}

Where "∈" means "belongs".

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A pegged currency is a currency whose value is tied to another currency, meaning that the exchange rate is fixed.

A fixed exchange rate, sometimes known as a tagged exchange rate, is a type of exchange rate regime in which a monetary authority fixes or pegs the value of one currency to the value of another, a basket of other currencies, or another measure of worth, such as gold.

An exchange rate stabilization strategy known as a currency peg involves a national government or central bank setting a fixed exchange rate for its own currency with a foreign currency or a basket of currencies.

A pegged currency is one whose value is fixed at a specific exchange rate because it is linked to another currency.

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Answer:

m<1 = 70 OR 290

m<2 = 35

Step-by-step explanation:

m<2

m<3 + m<2 = 90°

55° + m<2 = 90°

90° - 55° = m<2

m<2 = 35°

m<1

I'm not sure if it is asking for the reflex angle outside of the blue triangle or the acute angle on the inside so I'll do both

acute angle

The Blue triangle is an isosceles triangle so the two sides on the same line on the left hand side are equal

55°+55°+m<1=180°

110°+m<1=180°

(m<1=70°)

reflex angle

using the above working for the acute angle:

360°-70°=m<1

m<1 = 290°

------------------------------------------------------------------------------------------

Hope this helps! :)

- Riona

Answer: $20 per hour

Step-by-step explanation:

To find the hourly rate, simply divide the total cost by the amount of hours that the object was rented(same for unit price).

160/8=20

The hourly rate for the bounce house rental is $20.

Answer:

Admin. tickets: 131

Teacher tickets: 218

Step-by-step explanation:

Let t = the number of teacher tickets

Let a = the number of admin tickets

t + a = 349

.6t + .9a = 248.70  teacher pay 60 cents and admin pays 90 cents.

Solve the first equations for t

t + a = 349

t = 349 -a  Substitute 349 - a for t into the second equation

.6(349 -a) + .9a = 248.70  I want to clear the decimal, so I will multiply through by 10

6 (349 - a) + 9a = 2487  Distribute the 6

6(349) - 6a + 9a = 2487

2094 - 6a + 9a = 2487  Combine like terms

2094 + 3a = 2487  Subtract 2094 from both sides

3a = 393  Divide both sides by 3

a = 131  This is the number of admin tickets purchases.

Plug 131 for a into either of the first two equations

t + a = 349

t + 131 = 349  Subtract 131 from both sides of the equations

t = 218

The purchase for teachers $130.8 and for administrators $117.9.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let the number of teacher be x.

So, for Teacher after discount raffle tickets will be 0.60x

and, for administrators after discount raffle tickets will be 0.90(349-x)

Now, Total spent on raffle tickets=$248.70

248.70 = 314.1 - 0.9x + 0.6x

-65.4 = -0.3x

x= 218

Thus, for teachers $130.8 and for administrators $117.9

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If total catch means how many fish did he catch in total then...

1 trout every 3 catfish

caught 24 catfish, 24÷3 = 8

Sam caught 8 trout and 24 catfish

8 + 24 gives us a total fish count of 32.