Find the sum of 1
5
and 7
10

The expression written in equivalent form with common denominators is .
The sum is

Hey!!!

Here's your answer:

Hope it will help u.

The expressions in which the numbers, or variables, or both, are connected by operational signs (+, - etc.) are called algebraic expressions. For example 5, 4x, a+b, x−y.

Answer:

Sometimes in math we describe an expression with a phrase. For example, the phrase

   "2222 more than 5555"

can be written as the expression

   2+52 + 52+52, plus, 5.

Similarly, when we describe an expression in words that includes a variable, we're describing an algebraic expression (an expression with a variable).

For example,

   "3333 more than xxxx"

can be written as the algebraic expression

   x+3x+ 3x+3x, plus, 3.

But why? Why use math if we can describe things in words? One of the many reasons is that math is more precise and easier to work with than words are. This is a question you should keep thinking about as we dig deeper into algebra.

Different words for addition, subtraction, multiplication, and division

Here is a table that summarizes common words for each operation:

Operation Words Example algebraic expression

Addition plus, sum, more than, increased by x+3x + 3x+3x, plus, 3

Subtraction subtracted, minus, difference, less than, decreased by p−6p - 6p−6p, minus, 6

Multiplication times, product 8k8k8k8, k

Division divided, quotient a÷9a \div 9a÷9a, divided by, 9

For example, the word "product" tells us to use multiplication. So, the phrase

   "the product of 8888 and kkkk

Let's take a look at a trickier example

Write an expression for "mmmm decreased by 7777".

Notice that the phrase "decreased by" tells us to use subtraction.

So the expression is m−7m - 7m−7m, minus, 7.

Answer:

Part A

The most correct option is;

b. y = 128(0.989)x + 72

Part B

Ella can drink the tea after 7:22

Step-by-step explanation:

Here we have the temperature variation with time given in an exponential equation as follows;

Let the temperature at time x (in minutes) = y

Therefore, y = a × mˣ + b

Where:

b = Shift of the curve or the limit value of the decreasing exponential function as x → ∞

When y = 200, x = 0

Therefore. 200 = a × m⁰ + c = a + c

We note that c is the shift of the graph, the value upon which temperature increases = final temperature = 72°F

Hence a = 200 - 72 = 128°F

When y = 197, x = 2 minutes

Therefore, 197 = 128·m² + 72 =

m² = (197 - 72)/128 = 125/128

m = √(125/128) = 0.98821

Hence the exponential equation of cooling is presented in the following equation;

y = 128 × (0.98821)ˣ + 72

Therefore, the most correct option is b. y = 128(0.989)x + 72

Part B

When the temperature is 172°F we have;

172 = 128 × (0.989)ˣ + 72

∴ (0.989)ˣ = (172 - 72)/128 = 100/128 = 25/32

log(0.989)ˣ = log(25/32)

x·log(0.989) = log(25/32)

x = log(25/32)/log(0.989) = 22.32 minutes

Hence Ella can drink the tea after 7:22.

Answer:

Step-by-step explanation:

hello : 2x+5y= - 6

1) the x-intercept when y=0 : 2x+5(0)= -6

means : 2x=-6   so : x=-6/2 = -3

2) the y-intercept when x=0 : 2(0)+5y= -6

means : 5y=-6   so : x=-6/5

Answer:

t ≥0

Step-by-step explanation:

Given the information:

The initial population: 500

The graph models the population of the bacteria colony P(t) as a function of the time t, in weeks,

=> our function is: P(t) =500*[tex]b^{t}[/tex] where b is the base number and it is ≥0

The domain of exponential functions is all real numbers greater than zero

<=> t ≥0 (because t present for the time and time can not have negative value)  

t  is the independent variable is this exponential function and the population of bacteria depends on the change of t.

Because it is the growth function so the range (the population of bacteria) increase over its domain (the time)

Hope it will find you well.

Answer:

2500 grams

Step-by-step explanation:

to go from kilogram to grams, u should multiply the kilograms by  1000 to get the grams

Answer:

Hamish and Harry work as plumbers. Harry earns a dollar an hour more than 5/4 the amount hamish earns per hour. harry earns per hour is 2$ less than 7/5 the amount hamish earns per hour. how much do each of them make an hour

Step-by-step explanation:

Let

x is the  amount Harry earns 

y is the amount Hamish earns 

x=(5/4)y+1 ⇒ (x-1)*4/5 = y-------- equation 1

x=(7/5)y-2⇒ (x+2)*5/7 = y-------- equation 2

equals 1 and 2

(x-1)*4/5 = (x+2)*5/7

(4x-4)/5 = (5x+10)/7

(4x-4)*7 = (5x+10)*5

28x-28 = 25x+50

28x-25x = 50+28

3x = 78

x = 26

substitute x = 26 for y=(x-1)*4/5

y = (x-1)*4/5

y =  (26-1)*4/5

y = 20

the answer is

Answer:

New area of Eduardo's farm after the increase = x² + 4x + 4

Nova área da fazenda de Eduardo após o aumento = x² + 4x + 4

Step-by-step explanation:

English Translation

The land on Eduardo's farm was increased by 2 m horizontally and 2 m vertically. If before the increase the land was shaped like an x-side square, what is the new area after the increases?

Solution

The previous area of Eduardo's farm is the are of a square with side lenght of x.

Area of a square = (side length)² = x²

Then, the land on Eduardo's farm was increased by 2 m horizontally and 2 m vertically.

New horizontal length of Eduardo's farm = (x+2)

New vertical length of Eduardo's farm = (x+2)

New area of Eduardo's farm = (x+2)(x+2)

= x² + 4x + 4

In Portugese/Em português

A área anterior da fazenda de Eduardo é a de um quadrado com comprimento lateral de x.

Área de um quadrado = (comprimento lateral)² = x²

Em seguida, o terreno da fazenda de Eduardo foi aumentado 2 m na horizontal e 2 m na vertical.

Novo comprimento horizontal da fazenda de Eduardo = (x + 2)

Novo comprimento vertical da fazenda de Eduardo = (x + 2)

Nova área da fazenda de Eduardo

= (x + 2) (x + 2) = x² + 4x + 4

Hope this Helps!!!

Espero que isto ajude!!!

Answer:

x=4, y=9.6

Step-by-step explanation:

Using Theorem of Intersecting Secant and Tangent

[tex]TP X TQ=TR^2[/tex]

[tex]9(9+12+x)=15^2\\9(21+x)=225\\189+9x=225\\9x=225-189\\9x=36\\x=4[/tex]

Next, we apply Theorem of Intersecting Chords

SV X VR=PV X VQ

5 X y = x X 12

Recall: x=4

5y=4 X 12

5y=48

y=48/5=9.6

Therefore: x=4, y=9.6

Correct question:

Every day Kim practice volleyball and clarinet each day she practices volleyball for 2.5 hours if after 8 days she practices both volleyball and the clarinet for a total of 36 hours how many hours per day did Kim practice clarinet.

Answer: 2 hours

Step-by-step explanation:

Everyday Kim practices volleyball and clarinet = v/ball + clarinet

Everyday volleyball practice = 2.5hours

That is clarinet(hours) + 2.5 hours of volleyball

After 8 day, total practice hours of both volleyball and clarinet equals 36 hours

The above information can be represented mathematically as thus:

Let h = hours per day of clarinet

8(h + 2.5) = 36

8h + 20 = 36

8h = 36 - 20

8h = 16

h = 16/8

h = 2

Answer:

127 &64

Step-by-step explanation:

x+y=191 eq(1) & x-y=63 eq(2)

x=63+y then put in the eq(1)

63+y+y=191

2y=191-63

y=64 then put in the eq(2)

x-y=63

x= 63+y

x=63+64

x=127

Answer:

both numbers are 127 and 64

Step-by-step explanation:

x= one of the numbers

191-x= the other number

(191-x)-x=63

191-x-x=63 (combine like terms)

191-2x=63 (rearrange)

191-63-2x (simplify)

128=2x

64=x

(127 +64=191)

(127-64= 63)

Answer:

I hope this helps

Explanation:

Answer:

{FL1, FL2, IT1, IT2, ME1, ME2, EN1, EN2}

Step-by-step explanation:

This is each location paired with one week, and each location paired with two weeks.

Answer:

c

Step-by-step explanation:

The formula for the area of a circle is A = pi x (radius^2).

We need the radius of the circle in order to use the formula. The radius is equal to 1/2 of the diameter of the circle. The radius goes from the center to one side of the circle, whereas the diameter touches two sides of the circle and goes through the center.

radius = 6 / 2 = 3 units

Remember that a semi-circle is equal to 1/2 of a full circle. So we need to find the area of the whole circle and divide it by 2.

A = pi x 3^2

A = 9pi

A = 4.5pi = 14.13 units^2

Hope this helps! :)

Look at the attached picture

Hope it will be helpful to you..

Good luck for your test...(◕ᴗ◕✿)

Answer:

[tex]y=1,\:y=-1[/tex]

Step-by-step explanation:

[tex]y^2+14=3y^2\cdot \:5\\\y^2+14-14=3y^2\cdot \:5-14\\y^2=15y^2-14\\y^2-15y^2=15y^2-14-15y^2\\-14y^2=-14\\\frac{-14y^2}{-14}=\frac{-14}{-14}\\y^2=1\\\\y=\sqrt{1},\:y=-\sqrt{1}\\y=1,\:y=-1[/tex]

Answer:

y = ± 1

Step-by-step explanation:

Given

y² + 14 = 3y² × 5, that is

y² + 14 = 15y² ( subtract y² from both sides )

14 = 14y² ( divide both sides by 14 )

1 = y² ( take the square root of both sides )

± [tex]\sqrt{1}[/tex] = y , that is

y = ± 1

Thus y = - 1 or y = 1

Answer:

31557778998765432

Step-by-step explanation:

is it impossible

Answer:

What do you mean i need an explaination

Step-by-step explanation:

Answer:

You need to show the table

Step-by-step explanation:

We can't answer without that info

Answer:

Step-by-step explanation:

Value of a cube = length*height*width

Value of a cube = 44*45*43

                          = 85140

I hope it'll help you much

Thank you for asking

Answer:

-5^ -1 = 1/(-5) = -1/5

-1/y^(-4) = -(1/(1/y^4)) = -y^4

5^4 x 5^7 = 5^(4 + 7) = 5^11

Hope this helps!

:)

Answer:

1. -1/5

2. -y⁴

3. 5¹¹

Step-by-step explanation:

1. simplify -5^ -1

1/(-5)

-1/5

2. simplify -1/y^ -4

-1 × y⁴

-y⁴

3. simplify 5^ 4 x 5^ 7

5^(4+7)

5¹¹

Answer:2490-2312=w; w=178 so 178 pounds

Step-by-step explanation:

Answer:

hey!

Your answer is 178 pounds!!

Step-by-step explanation:

by doing 2490lb-2312lb gives us the value of w

soo w=178 pounds!!

HOPE THIS HELPS!!

Answer:

10/27

Step-by-step explanation:

Answer:

17/12 or 1 5/12

Step-by-step explanation:

Answer: i believe the answer is 39

Step-by-step explanation:

sum divided by the terms

Answer:

21, 22 and 26

Step-by-step explanation:

To answer this question first we need to know which are the factors of 12:

[tex]12= 2^2(3)[/tex]

So, now, we need 3 numbers that are between 20 and 30 and that only have one common factor with 12, in other words, they need to have just a 2 or a 3 in their factorization.

Let's take number 21:

[tex]21= (7)(3)[/tex], we can see that 21 only has a 3 and a prime so therefore it has only one common factor with 12

Now, let's take the number 22,

[tex]22=11 (2)[/tex], thus since 22 has a 2 and a prime, it has only one common factor with 12.

Now, let's take the number 26

[tex]26= 13 (2)[/tex], thus, since 26 has a 2 and a prime, it has only one common factor with 12.

Thus, the three possible answers are 21, 22 and 26

Answer:

x =82

Step-by-step explanation:

2/5 (x − 17) = 26

Multiply each side by 5/2

5/2 *2/5 (x − 17) = 26*5/2

x-17 =65

Add 17 to each side

x-17+17 = 65+17

x =82

Answer:

Step-by-step explanation:

u got to just learn how to do it

Answer:

ya switch the the 1st one and the last one

Step-by-step explanation:

Answer: a) = 10

b) = 16

Step-by-step explanation:

a) as x = 5 so putting the value of x in given equation

5 multiplied by 2 is equal to 10

b) Putting value of x in given equation

= (5 + 3) 2

According to BODMAS solve the brackets first

= 8 x 2

= 16

ANSWER IS ONE THE SHEET

hope this help

Answer:

x >46/3

Step-by-step explanation:

Do the product first because of the more than

-3x + 17 < -29

Subtract 17 from each side

-3x + 17 -17< -29-17

-3x < -46

Divide each side by -3, remembering to flip the inequality

-3x/-3 > -46/-3

x >46/3

Answer:

15 2/3, or 47/3

Step-by-step explanation:

I'm going to assume, correctly or not, that you actually meant f(x) = 2x^2 - (1/3)x + 5.  Double check on this right now, please.

If I'm right, then evaluate f(x) at x = 0 and x = 8:

f(0) = 5

and

f(8) = 2(8)^2 - (1/3)(8) + 5 = 128 - 8/3 + 5 = 133  - (2 2/3), or:   130 1/3

Then the average rate of change of f(x) = 2x^2 - (1/3)x + 5 over the interval [0,8] is:

               130 1/3 - 5         125 1/3

a. r. c. = ------------------- = ---------------- = 15 2/3, or 47/3

                    8 - 0                  8

The average rate of change of the function [tex]f(x)=2x-\frac{1}{3} x+5[/tex] over the interval [tex]x = 0[/tex] to [tex]x = 6[/tex] will be [tex]\frac{5}{12}[/tex] .

Average rate of change of the function is a rate of change of the function, on an average, over the given interval. i.e. values of [tex]x[/tex] and [tex]y[/tex] .

Using slope formula we find Average rate of change of the function.

i.e. [tex]f(x)=\frac{f(x_{2} )-f(x_{1} )}{x_{2}-x_{1}}[/tex]

We have,

[tex]f(x)=2x-\frac{1}{3} x+5[/tex]

[tex]x_{1} = 0[/tex] to [tex]x_{2}= 6[/tex]

So,

First find [tex]f(x_{1})[/tex],

[tex]f(x_{1})=2x-\frac{1}{3} x+5[/tex]

[tex]f(0)=2*0-\frac{1}{3} *0+5[/tex]

[tex]f(x_{1})=5[/tex]

Now, find [tex]f(x_{2})[/tex],

[tex]f(x_{1})=2x-\frac{1}{3} x+5[/tex]

[tex]f(2)=2x*2-\frac{1}{3} *2+5[/tex]

[tex]f(2)=4-\frac{2}{3}+5=9-\frac{3}{2}[/tex]

[tex]f(x_{2})=\frac{15}{2}[/tex]

Now, putting values of [tex]f(x_{1})[/tex] and [tex]f(x_{2})[/tex] in given formula of  [tex]f(x)[/tex],

i.e.

[tex]f(x)=\frac{f(x_{2} )-f(x_{1} )}{x_{2}-x_{1}}[/tex]

[tex]f(x)=\frac{\frac{15}{2}-5 }{6-0}[/tex]

[tex]f(x)=\frac{\frac{15-10}{2} }{6}[/tex]

[tex]f(x)=\frac{5} {12}[/tex]

So, the average rate of change of the function is [tex]\frac{5}{12}[/tex], which is find out using the slope formula.

Hence, we can say that the average rate of change of the function [tex]f(x)=2x-\frac{1}{3} x+5[/tex] over the interval [tex]x = 0[/tex] to [tex]x = 6[/tex] will be [tex]\frac{5}{12}[/tex] .

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