Amirah's family is driving to her uncle's house. The family travels 383.5 miles between 10:15 am and 4:45 pm. Calculate the family's average rate of travel for the day. Write your answer as decimal rounded to the nearest tenth.

Answer:

Alvin's Age is 81 and Elga's age is 27

Step-by-step explanation:

let A be Alvin's age and E be Elga's age

A = 3 E (alvin's age is three times elga's age)

A + E = 108 ( the sum of their ages is 108)

3E + E = 108

4 E = 108

E= 108/4 = 27

A = 3E = 27*3 = 81

⭐ Let the Alvin's age be "a" and the Elga's age be "e".

⭐ If we carefully identify the question, we can get two hints provided in the question which can be framed into equations. They are,

(Alvin's age is 3 times the age of Elga's age)

(The sum of Alvin's and Elga's age is 108)

Substituting value of A i.e (A = 3E) in eqn (2) so as to get same variable and solve the eqn.

[tex]\Rrightarrow\bf{a + e = 108}[/tex]

[tex]\Rrightarrow\bf{3e + e = 108}[/tex]

[tex]\Rrightarrow\bf{4e = 108}[/tex]

[tex]\Rrightarrow\bf{e = \frac{108}{4} }[/tex]

[tex]\Rrightarrow\bf{e = 27}[/tex]

Substituting value of (e = 27) in eqn (1),

[tex]\Rrightarrow\bf{a = 3e}[/tex]

[tex]\Rrightarrow\bf{a = 3 \times 27}[/tex]

[tex]\Rrightarrow\bf{a = 81}[/tex]

Answer:

x = 2[tex]\sqrt{10}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

x² + 9² = 11²

x² + 81 = 121 ( subtract 81 from both sides )

x² = 40 ( take square root of both sides )

x = [tex]\sqrt{40}[/tex] = [tex]\sqrt{4(10)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{10}[/tex] = 2[tex]\sqrt{10}[/tex] ≈ 6.32 ( to 2 dec. places )

Answer:

I think the image above will help you.

79.50 = 46 + 6.70t

33.50 = 6.70 t

t = 5 hours

Answer:5/3

Step-by-step explanation:

you can do 1/3 x5 and that will give you 5/3

Answer:

18%

Step-by-step explanation:

5500y=6500

y=6500/5500

y=1.18

1.18*100=118%

118%-100%=18%

nAnswer:

bStep-by-step explanation:

Answer:

-5(8) = -40-5(-2x) = -40+10x

The value of an equivalent expression is,

⇒ 10x - 40

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Expression is,

⇒ - 5 (8 - 2x)

Now, We can simplify as;

⇒ - 5 (8 - 2x)

⇒ - 5 × 8 - 5 × - 2x

⇒ - 40 + 10x

⇒ 10x - 40

Thus, The value of an equivalent expression is,

⇒ 10x - 40

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Check the picture below.

Answer:

3/8

Step-by-step explanation:

Hope This Helps :)

[tex] \frac{1}{8} + \frac{1}{2} [/tex]

Take L.C.M

1 + 4

8

The L.C.M is 8

The answer is :-

[tex] \frac{5}{8} [/tex]

Answer:

38 1/2 meters

Step-by-step explanation:

You have to multiply 28× 1 3/8

You can convert yhe 1 3/8 to an improper fraction, then multiply, and convert back to a mixed number. See image.

OR,

you can distribute the 28 over the sum of 1 and 3/8. This just keeps the fraction a little bit smaller and you can practice distributive property see image

Answer:

16

Step-by-step explanation:

x + 6 = 4x

6 = 3x

x = 2

2 + 6 + 4(2) = 16

Answer:

X=121

Step-by-step explanation:

The Sum of interior angles of a pentagon is 540, which means x=121

Answer:

121

Step-by-step explanation:

sum of interior angles

formula : (n-2)x180

5-2 x 180 =. 3 x 180 = 540

540-419 =121

mark me brainliest

Answer:

10x + 24

Step-by-step explanation:

distribute first to remove parentheses:

4x + 12 + 6x + 12

now combine 'like terms':

10x + 24

Answer:

10x + 24

Step-by-step explanation:

Expand the brackets by multiplying each term in the bracket by the expression outside the bracket:

4(x + 3) + 6(x + 2) = 4x + 12 + 6x + 12

Gather like terms:

4x + 6x + 12 + 12

Combine like terms:

10x + 24

Answer:

Y= 2x+2

Step-by-step explanation:

line equation is y=mx +c

m is the gradient = 2

We are given an x and y value

X= 1
y= 4

substitute that into the equation:

4= 2(1) +c

2=c

Put all the equation together:

Y= 2x+2

Answer:

Step-by-step explanation:

We know that:

Solution:

Hence, the cost of 1 yard of fabric is $9.

You can use the fact that joint relative frequency is the ratio of the frequency of the certain category to the total frequency of that category.

The joint relative frequency for the people who can only see the sunset is given by

Option C: [tex]\dfrac{12}{38}[/tex]

Suppose you've to calculate the joint relative frequency of a certain category out of the given big category.

Then its the ratio of the frequency of that certain category to the total frequency of that big category.

See below for more clarity.

The given table is attached below in diagram.

The needed joint relative frequency for the people who can only see the sunset is given by

[tex]\dfrac{\text{Total people who can view only sunset}}{\text{total number of people in the given context}} = \dfrac{12}{38}[/tex]

Thus,

The joint relative frequency for the people who can only see the sunset is given by

Option C: [tex]\dfrac{12}{38}[/tex]

Learn more about joint relative frequency here:

https://brainly.com/question/2506919

Answer:

c is the right one

Step-by-step explanation:

Answer: 13 minutes

Step-by-step explanation:

( 0 + 2 + 10 + 8 + 20 + 12 + 30 + 7 + 40 + 1)/10 = 130/10 = 13

Hope this helps!

Answer:

1.2

Step-by-step explanation:

0.2+0.4+0.6=1.2

:)

Answer:

I think the answer is 2.56 = x

Step-by-step explanation:

pls like, vote, and give brainliest!

Answer:

5.6 ounces OR 5 and 3/5

Step-by-step explanation:

Answer:

5 3/5

Step-by-step explanation:

4/5 x 7 = 28/5 = 5 3/5

[tex]1.Multiple:\frac{4}{5}[/tex] × [tex]7=\frac{4 * 7}{5*1}[/tex] [tex]=\frac{28}{5}[/tex][tex]=5\frac{3}{5}[/tex]

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(28, 5) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - four fifths multiplied by seven = twenty-eight fifths.

Answer:

30%

Step-by-step explanation:

the first solution -30% will be 45% and the second solution added by 30% will be 45%

An which direction does heat move?

From an object with a cool temperature to another object with a cool temperature.

From an object with a higher temperature to an object with a lower temperature.

with a lower temperature to an object with a higher temperature.

From an object with a warm temperature to another object with a warm temperature.

Step-by-step explanation:

Answer:

56m^2

Step-by-step explanation:

The formula on getting the area of a rectangle is width x height. Therefore you just have to multiply 8 (height) to 7 (width). the answer is ^^^

Answer:

7×8 56

so it,s area should be 56

Answer:

Step-by-step explanation:

29/40

29 ÷ 40

the answer is 0.725 all you have to do is divide the numerator by the denominator

Answer:

29/40=.725

Step-by-step explanation:

dont know how to explain it, just divide 29/40.

Answer:

10xy

Step-by-step explanation:

add all the sides

2y+3x+3x+2y

xy

Answer:

5 to the power of 2

Step-by-step explanation: