Jenny can send texts on her phone at the rate of 32 words per minute. if she sends 8 texts that average 80 words each how long would it take her?

Answer: It is best solve using elimination method

Step-by-step explanation:

4x + y = 1 --------(1)

2x + y = 8---------(2)

subtract (2) from (1)

2x = -7

divide bothside by 2

2x/2 = -7/2

x= -7/2

we can substitute x = -7/2 in any of the equations.

Lets take equation (1)

4x + y = 1

4(-7/2) + y =1

2(-7) + y = 1

-14 + y = 1

y = 1+14

y =15

Its not clearly given that whether EBF = 2x + 9 or 2x - 9.

I have written the solution for both.

If EBF = 2x + 9,

then ABF = 6x + 26 and ABE = 11x - 31.

Now, ABE = ABF + EBF

11x - 31 = (6x + 26) + (2x + 9)

           = (6x + 2x) + (26 + 9)

           = 8x + 35

11x - 8x = 35 + 31

3x = 66

x = 22

Therefore, ABF = 6x + 26 = 6(22) + 26 = 132 + 26 = 158°

If EBF = 2x - 9,

then ABF = 6x + 26 and ABE = 11x - 31.

Now, ABE = ABF + EBF

11x - 31 = (6x + 26) + (2x - 9)

           = (6x + 2x) + (26 - 9)

           = 8x + 17

11x - 8x = 17 + 31

3x = 48

x = 16

Therefore, ABF = 6x + 26 = 6(16) + 26 = 96 + 26 = 122°

The expression for angle ABF:  ABF = 6x + 26 = 6(16) + 26 = 96 + 26 = 122°

From the question: If EBF = 2x + 9, then ABF = 6x + 26 and ABE = 11x - 31.

When, ABE = ABF + EBF

11x - 31 = (6x + 26) + (2x + 9)

          = (6x + 2x) + (26 + 9)

          = 8x + 35

11x - 8x = 35 + 31

3x = 66

x = 22

Hence, ABF = 6x + 26 = 6(22) + 26 = 132 + 26 = 158°

When EBF = 2x - 9,

So, ABF = 6x + 26 and ABE = 11x - 31.

When, ABE = ABF + EBF

11x - 31 = (6x + 26) + (2x - 9)

          = (6x + 2x) + (26 - 9)

          = 8x + 17

11x - 8x = 17 + 31

3x = 48

x = 16

So,  ABF = 6x + 26 = 6(16) + 26 = 96 + 26 = 122°

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Answer:

12:50 AM

Step-by-step explanation:

60 minutes is 1 hour. add one hour to the start time to get 12:50 AM

Answer:

12:50 AM

Step-by-step explanation:

Add one hour to the start time

The ratio table is completed by finding values that are equivalent to the ratio 16:10, which simplifies to 8:5. The corresponding values are calculated by setting up proportions based on the original ratio.

To complete the ratio table that shows ratios equivalent to 16:10, we first understand that the ratio can be simplified to 8:5 by dividing both terms by 2.

We can use this simplified ratio to find missing values in the table.

For the row with 2 in the first column, the second column should be 2 times 5/8 (since 8:5 is equivalent to 16:10) to maintain the ratio equivalency.

This gives us the value 2*(5/8)=1.25.

In the row where the second column is 36, we need to determine the equivalent in the first column.

We set up the proportion 8/5=x/36, and solving for x gives us 8*(36/5)=57.6.

The last row given is 72 in the second column.

To find the corresponding first column value, we use the ratio 8/5=x/72 and solve for x to find 8*(72/5)=115.2.

The filled in ratio table should look like this:

Here are you're answers:

Number sentence: 25 - 14 = 11

Word sentence: twenty-five minus fourteen equals eleven

The three boxes:

11

25 14

Hope this helps!

the original price was $1800 because if you multiple 1800 by 75 percent you get 1350 and 1800 - 1350 is equal to 450 your sale price

In decimals, the tenths place is  right after the decimal point. Therefore, the value of the digit in the tenths place of 0.88 is 8.

MPG= 30 4/5 or 30.8 is I think is the answer.

Answer:

[tex]unit\ rate=114 \frac{miles}{gallon}[/tex]

Step-by-step explanation:

Hello, I think I can help you with this

remember some properties of mixed numbers

[tex]a\frac{b}{c}=\frac{(a*c)+b}{c}\\ example\\3\frac{1}{5}= \frac{(3*5)+1}{5}=\frac{16}{5}\\[/tex]

Step 1

covert 28 1/2

a=28

b=1

c=2

[tex]a\frac{b}{c}=\frac{(a*c)+b}{c}\\28\frac{1}{2}= \frac{(28*2)+1}{2}=\frac{57}{2}=28.5\\[/tex]

Hence, the distance she drove is 28.5 miles

Step 2

find the  number of gallons

[tex]\frac{1}{4}=0.25[/tex]

then, she used 0.25 gallons to travel 28.5 miles

Step 3

find the unit rate for miles per gallon

[tex]unit\ rate=\frac{number\ of\ miles}{number\ of\ gallons}\\ unit\ rate=\frac{28.5\ miles}{0.25\ gallons}\\unit\ rate=114 \frac{miles}{gallon}[/tex]

Have a great day.

it would be positive because the positive number is bigger than the negative number.

Combine the two terms. Note that one negative sign and one positive sign will result in a negative sign.

8704 + (-7725) = 8704 - 7725 = 979

979 is the resulting number, which is a positive number

Positive is your answer

hope this helps

By definition an irrational number is one that is not rational. Therefore, it is not possible for a number to both rational and irrational.

f(x) = (x - 4 )(x - 6) = 0

because you can see when each factor is equal to zero

x - 4 = 0 ⇒ x = 4

x - 6 = 0 ⇒ x = 6

0.23, 1/5, 19%

i believe that is correct

Answer:

Part 1) The units rates are

A) [tex]0.1165\frac{\$}{oz}[/tex]

B) [tex]0.1656\frac{\$}{oz}[/tex]

C) [tex]0.0516\frac{\$}{oz}[/tex]

D) [tex]0.0579\frac{\$}{oz}[/tex]

Part 2) The best buy is the size 48 1/4 oz

Step-by-step explanation:

we know that

To find out the unit rate divide the total cost by the total volume

Part 1) Calculate the unit rate for each size

case A) we have

8 1/2 ounce bottle costs $0.99

Convert mixed number to an improper fraction

[tex]8\frac{1}{2} =\frac{8*2+1}{2}=\frac{17}{2}\ oz[/tex]

Find the unit rate

[tex]\frac{0.99}{(17/2)}= 0.1165\frac{\$}{oz}[/tex]

case B) we have

18 2/2 oz. bottle costs $1.49

Convert mixed number

[tex]18\frac{2}{2} =18+1=19\ oz[/tex]

Find the unit rate

[tex]\frac{1.49}{19}= 0.1656\frac{\$}{oz}[/tex]

case C) we have

48 1/4 oz. carton costs $2.49

Convert mixed number to an improper fraction

[tex]48\frac{1}{4} =\frac{48*4+1}{4}=\frac{193}{4}\ oz[/tex]

Find the unit rate

[tex]\frac{2.49}{(193/4)}= 0.0516\frac{\$}{oz}[/tex]

case D) we have

64 3/4 oz. carton costs $3.75

Convert mixed number to an improper fraction

[tex]64\frac{3}{4} =\frac{64*4+3}{4}=\frac{259}{4}\ oz[/tex]

Find the unit rate

[tex]\frac{3.75}{(259/4)}= 0.0579\frac{\$}{oz}[/tex]

Part 2) which size is the best buy

we know that

The best buy is the one with the smallest unit rate

so

[tex]0.0516\frac{\$}{oz}[/tex]

The best buy is the size 48 1/4 oz

Answer:Expert's right here WHY U LOOK AT ME

Step-by-step explanation:

Answer:

|2a|

Step-by-step explanation:

Note that distance is positive.  a less -a comes out to +2a, which is the distance between and -a.

3.2c+1.7=24.1

First subtract 1.7 from both sides

3.2c=22.4

Now divide both sides by 3.2

c=7

Now put it in the equation.

3.2(7)+1.7=24.1

3.2c + 1.7 = 24.1'

c = (24.1 - 1.7) : 3.2

c = 22.4 : 3.2

c = 7

Write an expression that shows how to use the halving and doubling strategy to find 28x50

Halving strategy means we divide by 2

Doubling strategy means we multiply by 2

We apply halving strategy for 28 and doubling strategy for 50

Half of 28 is 14

Double of 50 is 100

So 14 * 100 = 1400

Now we check with 28 * 50

28 x 50 = 1400

So required expression is

[tex]\frac{28}{2} * (50*2)[/tex]

f(x) = x + 4   ; -4 ≤ x < 3

f(-4) = (-4) + 4

      = 0

f(3) = (3) + 4

     = 7

R: 0 ≤ y < 7    ⇒   [0, 7)

***************************

f(x) = 2x - 1   ; 3 ≤ x < 6

f(3) = 2(3) - 1

      = 6 - 1

       = 5

f(6) = 2(6) - 1

      = 12 - 1

      = 11

R: 5 ≤ y < 11   ⇒   [5, 11)

******************************

Now, put them together:   [0, 7) U  [5, 11)   = [0, 11)

Answer: B

answer is [0,11)

f(x) = x+4 is the first function

We plug in -4 for x  in f(x) = x+4

f(-4) = -4 + 4 = 0

So the graph starts at (-4,0)

Now plug in 3 for x  in f(x) = x+4

f(3) = 3 + 4 = 7

So the first function ends at (3,7)

Second function is f(x) = 2x - 1

We plug in 3 for x  in f(x) = 2x-1

f(3) =2(3)-1 = 5

So the second graph starts at (3,5)

We plug in 6 for x  in f(x) = 2x-1

f(6) =2(6)-1 = 11

So the second graph ends at (6,11)

3<=x<6 so 6 is excluded from x

The range of the following piece wise function is 0  to 11

answer is [0,11)

Hello!

So, to answer this question we need to note that quadruple = x4

25 (our initial count) x 4 = 100

100 (after one hour) x 4 = 400

400 (after two hours) x 4 = 1600

1600 (after three hours) x 4 = 6400

6400 (after four hours) x 4 = 25600

25600 (after five hours) x 4 = 102400

So to answer your question, after six hours, there will be 102,400 of that bacteria in the jar.

Hope this helps!

The rate John is saving is 25. How? You can do 160-110 (to find difference). After this, you will get 50. You can now divide this by 2 (because the problem says two months), which is 25. You can see if this is correct by adding 25 to 110 two times.

110 + 25

= 135

135+25

=160

John is saving money at a constant rate is $25.

Given that, suppose he initially has $110 saved and after 2 months he has $160 saved.

The definition of a rate is a quantity measured and compared to another quantity measured (such as a number of miles per hour) or is the cost of something.

Now, money saved=160-110=$50, time 2 months

Rate of money per month=50/2=$25

Therefore, John is saving money at a constant rate is $25.

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If x=3+bi, then

[tex]|x|=\sqrt{3^2+b^2}.[/tex]

You know that [tex]|x|^2=13,[/tex] then

[tex]\left(\sqrt{3^2+b^2}\right)^2=13,\\ \\ 9+b^2=13,\\ \\b^2=4,\\ \\b=\pm 2.[/tex]

Two possible complex numbers satisfy these conditions:

[tex]x_1=3+2i, \ x_2=3-2i.[/tex]

As you can see the possible value of b is 2.

Answer: correct choice is A.

The possible value of b in the given complex number is 2 (Option A). This is found by using the definition of modulus of a complex number and solving the resulting equation.

This question requires understanding of complex numbers and their modulus. A complex number is a number of the form a + bi, where a and b are real numbers and i is the imaginary unit with the property i^2 = -1.

|x|^2 represents the square of the modulus (or absolute value) of the complex number x which is defined as |x|^2 = a^2 + b^2. Given in the question, x = 3 + bi and |x|^2 = 13. Thus, by substitution, we get 13 = 3^2 + b^2.

Performing arithmetic operations, it's equivalent to b^2 = 13 - 3^2 = 4. To solve for b, we take the square root of both sides. Because b can be positive or negative, we get b = ±2. Therefore, from the options given, the possible value of b is 2 (Option A).

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Answer:

x y

4 0

6 2

8 4

Step-by-step explanation:

y=x-4

Replace x each x variable

4-4=0

6-4=2

8-4=4

To complete the table for the given rule y = x - 4, the values of y are found by substituting the x-values into the equation, resulting in y-values of 0, 2, and 4 for x-values of 4, 6, and 8, respectively.

The student has asked to complete a table for the given rule: y = x - 4. To find the value of y for each given x, we simply substitute the x values into the equation and solve for y.

For x = 4, y = 4 - 4 = 0.

For x = 6, y = 6 - 4 = 2.

For x = 8, y = 8 - 4 = 4.

Therefore, the completed table is:

x = 4, y = 0

x = 6, y = 2

x = 8, y = 4

The word form of 53,200.4 would be fifty-three thousand, two hundred and four tenths.

Now remember, to say a number in a decimal in word form, you must remember the names for each placement.

.1 the one would be in the tenths

.01 the one would be in the hundredths; and

.001 the one would be in the thousandths.

[tex]4y+8=2\qquad|\text{subtract 8 from both sides}\\\\4y=-6\qquad|\text{divide both sides by 4}\\\\y=-\dfrac{6}{4}\\\\\boxed{y=-\dfrac{3}{2}\to y=-1.5}[/tex]

Hello there!

[tex]4y+8=2[/tex]

Explanation:

↓↓↓↓↓↓

First you had to subtract by 8 from both sides of the equations.

[tex]4y+8-8=2-8[/tex]

Simplify

[tex]4y=-6[/tex]

Then you divide by 4 from both sides of the equations.

[tex]\frac{4y}{4}=\frac{-6}{4}[/tex]

Simplify it should be the correct answer.

[tex]y=-\frac{3}{2}[/tex]

Answer⇒⇒⇒⇒⇒y=-3/2

Hope this helps!

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Have a great day!

-Charlie

Without knowing the ages of all the different members of the club, I believe that the mean would go down due to 24 being an outlier. You generally take the mean by adding up all the numbers and dividing by all the # of given values. Outliers such as 24 would skew the results leaning none way or the other, in this case making it lower than the previous mean.

Answer:it decreased

Step-by-step explanation:

Hey there!!

Given equation :

... 3x - 2 + 5x = 4x + 5 - 2x

Combining like terms :

... 8x - 2 = 2x - 5

Subtracting 2x on both sides :

... 6x - 2 = - 5

Adding 2 on both sides :

... 6x = - 3

Dividing by 6 on both sides :

... x = -1/2 = -0.5

Hence, the answer is -0.5

Hope my answer helps!