A container has 4 3/5 L of water. 1 7/10 is needed to fill it to full capacity what is the capacity of the container in liters. Please helppp!!!!

Question 1

Opposite sides of a trapezoid are parallel. So, by the same-side interior angles theorem,

[tex]m\angle C+130^{\circ}=180^{\circ} \\ \\ m\angle C=50^{\circ}

[/tex]

Question 2

Drawing PR, we form congruent triangles PQR and PSR. Thus, using the sum of angles in a triangle,

[tex]55^{\circ}+24^{\circ}+m\angle Q=180^{\circ} \\ \\ m\angle Q=101^{\circ}[/tex]

Question 3

Opposite sides of a trapezoid are parallel. So, by the same-side interior angles theorem,

[tex]13x+6+70=180 \\ \\ 13x+76=180 \\ \\ 13x=104 \\ \\ x=8[/tex]

Question 4

Opposite sides of a trapezoid are parallel. So, by the same-side interior angles theorem,

[tex]11x+15+19x+15=180 \\ \\ 30x+30=180 \\ \\ 30x=150 \\ \\ x=5 \\ \\ m\angle B=11(5)+15=70^{\circ}[/tex]

After calculating equation we have come to find that the value of y is equal to 0.525 is true

An equation is formed by joining two expressions with the equal sign "=". The two expressions on either side of the equals sign are referred to as the "left-hand side" and "right-hand side" of the equation.

Typically, the right-hand side of an equation is assumed to be zero. This does not reduce generality because we can balance it by subtracting the expression on the right-hand side from the expressions on both sides.

We have given 12y - 1 / 2 = 8y + 8 / 5

lets solve it

⇒ 12y - 1 / 2 = 8y + 8 / 5

⇒ 12y -8y = 8 / 5 + 1 / 2

⇒ 4y = 21/10

⇒ y = 21/40

⇒ y  = 0.525

Thus, the value of y is equal to 0.525 is true

Learn more about equation

https://brainly.com/question/13763238

#SPJ9

Full question

Which value of y makes this equation true?

12y - 1 / 2 = 8y + 8 / 5

To an algebraic expression, the product of 2.5 and t is 2.5*t=2.5t.

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.).

Terms comprise expressions.

As said, "The word product" refers to the result of a multiplication.

To find out which two integers are multiplied together, look for the term "AND." The result of adding 2 and 3 is 6

The two numbers being multiplied in this example are 2.5 and an unidentified number, only called t.

The formula is 2.5*t

= 2.5t.

We are at our limit at this point. Since the solution has not been provided, we are unable to write an equation.

to know more about algebraic expression visit;

The car travels 62.5 meters in 5 seconds

The car is driving at 45 kilometres per hour

The first step is to convert kilometres to meters

1 km= 1000 meters

= 45×1000

= 45,000

The next step is to convert hours to seconds

1 hour= 3600 seconds

= 45000/3600

= 12.5

The distance travelled in 5 seconds can be calculated as follows

= 12.5 × 5

= 62.5

Hence the distance travelled in 5 seconds is 62.5 meters

Read more on distance here

https://brainly.com/question/14868085?referrer=searchResults

#SPJ1

Part (a)

x = the missing value

The set is {81, 54, 77, 68, x}

Add up those values and divide by 5 to compute the mean. Set this equal to the 74.6 stated. Then solve for x like so:

(81+54+77+68+x)/5 = 74.6

(280+x)/5 = 74.6

280+x = 5*74.6

280+x = 373

x = 373-280

x = 93

========================================================

Part (b)

In the previous part, we have n = 5 values and n-1 = 5-1 = 4 of them can be freely selected. The 5th final value is locked in based on what those previous four values are. That 5th value being x mentioned earlier.

This shows that the degrees of freedom is n-1

In other words, one value is determined by the other values in the set.

Answer: -38

Step-by-step explanation:

lim x→−8 (4x − 6)=

4(-8) − 6=

-32-6=

-(32+6)=-38

Answer:

C=0

Step-by-step explanation:

C = 5/9 (60-32)

C= 5/9 (28)

C=15.55555556 (round to the nearest tenth)

C=15.6   - ANSWER

Answer:

The 3rd one

Step-by-step explanation:

My mom is a teacher lol

The additive inverse of the given mathematical operation 3+(-5) is 2.

So, 3+(-5):

Then, add 2 as follows:

Therefore, the additive inverse of the given mathematical operation is 2.

Know more about additive inverse here:

https://brainly.com/question/3402614

#SPJ9

Answer:

Step-by-step explanation:

1) The decimal 0.31313131...as a fraction is; 310/990

2) The decimal 0.02020202 as a fraction is; 200/9990

3) The difference of the two numbers as a repeating decimal is; 0.29292929

We are given the decimals as;

0.31313131...

0.02020202...

1) The decimal 0.31313131... is repeating decimal.

If we write it as;

x = 0.31313131...

Multiply both sides by 10 to get;

10x = 3.131313  --- (1)

Multiply both sides of initial equation by 1000 to get;

1000x = 313.131313   ----(2)

Subtract eq 1 from eq 2 to get;

990x = 310

x = 310/990

2) The decimal 0.02020202 is a repeating decimal.

If we write it as;

x = 0.02020202...

Multiply both sides by 100 to get;

10x = 2.020202  --- (1)

Multiply both sides of initial equation by 10000 to get;

10000x = 202.0202 02  ----(2)

Subtract eq 1 from eq 2 to get;

9990x = 200

x = 200/9990

3) The difference of the two numbers as a repeating decimal is;

0.31313131 - 0.02020202 = 0.29292929

Read more about Decimal to fractions at; https://brainly.com/question/1827193

#SPJ1

After reduction of original size of a document by [tex]30%[/tex]%, the reduction scale is 70% of original size i.e., [tex]70:100=7:10[/tex]

As per the question statement, A photocopier reduces the original size of a document by 30%. We are supposed to find out what is the reduction scale.

Let say the document original size to be [tex]100%[/tex]% and if 30% is reduced by the photocopier, the remaining 70% will be the original size.

Hence reduction scale = [tex]70:100 = 7:10[/tex]

Therefore the reduction scale is 70% of the original size.

To know more about Reduction scale, click on the link given below:

https://brainly.com/question/20887376

#SPJ1

Answer:

18.33

Step-by-step explanation:

multiply 55×2 you get 110

then since it is +13-7 + is bigger than - ( positive is greater than negative)

it will be 6

so 110 ÷6 = 18.3333333 you put it into 4digits

The answer is 18.33

Hope it will help

Answer:

The GCF (Greatest Common Factor) is the biggest factor common to both of these numbers, so we must determine the factors for each:

15--->1,15

         3,5

20--->1,20

         2,10

         4,5

As we can see, 1 and 5 are the common factors and 5 is the biggest (greatest). Therefore, we can "pull" out a 5 from both numbers and get a resulting equation of:

15 + 20--->5(3 + 4)

Hope this helps!

Step-by-step explanation:

Answer:
Velocities

t = 1 :      11 m/s

t = 2 :      27m/s

t = 3:       56.33  m/s

t = a:       6a + 1 + 4/a  m/s

Step-by-step explanation:

s(t) = 6t³ + 1t + 4 where s = displacement in meters and t is time in seconds

s(t)  = v(t). t where v is the velocity in m/s and t is time in seconds
So v = s/t

At time t = 1
s(1) = 6 x 1³ + 1 x 1 + 4  = 6 + 1 + 4 = 11 meters
v(1) = 11/1 = 11 m/s

At time t = 2
s(2) = 6 x 2³ + 1 x 2 + 4 = 6 x 8 + 2 + 4 = 48+ 2 + 4 = 54 m
v(2) = 54 /2 = 27m/s

At time t = 3
s(3) = 6 x 3³ + 1 x 3 + 5 = 6 x 27 + 3 + 4 = 169 m
v(3) = 169/3 = 56.33  m/s

At time t = a
s(a) = 6a³ + 1a + 4 = 6a³ + a + 4
v(a) = s(a)/a = (6a³ + a + 4)/a = 6a + 1 + 4/a m/s

Answer:

Hi there The answer should be 11.45 miles

Step-by-step explanation:

I added 3.7 + 4.5 + 3.2 = 11.45

With a calculator.

hope this helps!

Answer:

104 mph

Step-by-step explanation:

The Phoenix International Raceway is 1 Mile so they did 312 miles in 3 hours.

Rate = Distance/Time

R = 312/3 = 104/1

The racers were traveling at 104 miles per hour.

Answer:

83.5

Step-by-step explanation:

Median means middle. So in order to get that you need to write the numbers in order and then get the middle number. If the amount of numbers are even then take the 2 middle ones and add the together then divide by two.

89, 52, 78, 92, 98, 64 --> 52, 64, 78, 89, 92, 98

Since you have 2 middle numbers, you must take the middle 2 (78 and 89) and add them.

78 + 89 = 167

Now divide 167 by 2

167 / 2 = 83.5

Answer = 83.5

The equivalent expression of 14x2 +18x + 5 is 18x + 14x2 + 5, the correct option is D.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

We are given that;

The function  14x2 +18x + 5

Now,

18x + 14x^2 + 5

This expression is equivalent to 14x^2 + 18x + 5, because it has the same terms but in a different order. You can use the commutative property of addition to rearrange the terms in any order without changing the value of the expression. For example:

14x^2 + 18x + 5 = (14x^2 + 5) + (18x)

14x^2 + 18x + 5 = (18x) + (14x^2 + 5)

14x^2 + 18x + 5 = (18x) + (5) + (14x^2)

14x^2 + 18x + 5 = (5) + (18x) + (14x^2)

All of these expressions are equivalent to each other and to the original expression.

Therefore, the equation will be 18x + 14x^2 + 5.

Learn more about quadratic equations;

https://brainly.com/question/17177510

#SPJ2

The given expression (4⋅5)(x⋅y) has a multiplication property.

Multiplication Properties 

So, (4⋅5)(x⋅y) is a multiplication property as:

Therefore, the given expression has a multiplication property.

Know more about multiplication properties here:

https://brainly.com/question/2061992

#SPJ9

The folded fabrics that can fit inside a shipping box with the dimensions of 1 foot by 1 foot by 2 feet will be 18.

It should be noted that 12 inches = 1 feet

Therefore, 432 cubic inches will be converted to feet and this will be:

= 432/12

= 36

Therefore the number of folded fabric will be:

= 36 / (1 × 1 × 2)

= 36/2

= 18

Learn more about inches on:

brainly.com/question/17297081

#SPJ1

The value of h(-2) is 65

A function can be defined as an expression, law , rule of hypothesis that explains or compares the relationship between two variables - the dependent and the independent variable.

Given the function;

h(x) = 2x^4 - x³ + 2x² - 7x + 3

To determine the function, h(-2)

We substitute the value of x as -2 into the function, we have;

h(-2) = 2(-2)^4 - (-2)^3 + 2(-2)^2 - 7(-2) + 3

expand the bracket

h(-2) = 2(16) - 2(-8) - 7(-2) + 3

h(-2) = 32 + 16 + 14 + 3

h(-2)= 65

Thus, the value of h(-2) is 65

Learn more about functions here:

https://brainly.com/question/25638609

#SPJ1

Answer:

The answer is D. y=-2x+8

Step-by-step explanation:

Hope this helps!!

The Four-fifths is equal to ten-sixteenths of a number is x=32/25.

Given the statement is four-fifths is equal to ten-sixteenths of a number.

A mathematical statement is a meaningful component of words that can be  true or false. Simply, they are known as a statement.

Let us assume the given number be x.

According to the given statement,

Four fifths means 4/5.          ......(1)

And ten sixteenths means 10/16.

It is also given that ten sixteenths of a number means is (10/16)x.      .......(2)

Now, we will equate equation (1) and equation (2) according to the given statement is

4/5=(10/16)x

Further, we will cross multiply both sides, we get

4×16=10x×5

64=50x

Now, we will divide both sides by 50, we get

64/50=50x/50

64/50=x

32/25=x

Hence, the number for the given statement "Four fifths is equal to ten sixteenths of a number" is 32/25.

Learn more about the algebraic statement from here brainly.com/question/2689808

#SPJ9

The number of hours Alma volunteered is 46 hours.

The process of time conversion changing or converting the unit of time from one unit to another.

For example, it can be converting seconds to minutes, converting minutes to hour or converting hours to minutes or hours to seconds.

Basically, time can be converted from one unit to another.

The number of hours Alma volunteered is calculated as follows;

60 minutes = 1 hour

2,760 minutes = ?

= (2760 x 1) / 60

= 46 hours

Thus, the number of hours Alma volunteered is 46 hours.

Learn more about time conversion here: https://brainly.com/question/11947673

#SPJ1

Answer:

Step-by-step explanation:

46

Answer:

x=82

Step-by-step explanation:

Because of Supplementary angles we know that x+10 degrees and x+6 degrees is 180 degrees. We combine this to form 16+2x=180

subtract 16 from both sides. 2x=164

divide both sides by 2

x=82

+(-11) is -11. You're "adding" -11 when in reality you're taking away 11 unless:

the equation looks like: -6+(-11)

the answer would be -17 because you're adding a negative to a negative. Taking away from a negative number is simply moving further down the negative number line, which makes the negative numbers "increase" in value

But if an equation looks like: 6+(-11)

the answer would be -5 since you are taking away 11 from a positive number.

Hope this makes sense and answers your question.

Answer:

EF=22

LM=19

ML=

Step-by-step explanation: