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3 years ago

Hello.

Mathematics

2 answers:

oksian1 [2.3K]3 years ago

7 0

answer:

she sends about 14 messages a day

step-by-step explanation:

using x as the total amount of texts your sister sends in a day

12 + x = 26

x = 26 - 12

all we really need to do now is solve the equation, ill be using the second one to help me explain this better!

x = 26 - 12

now word problems can get a little tricky sometimes but all we need to do is subtract to find out our answer

26 - 12

= 14

x = 14 messages

and if you wanted to double check your answer, then you will using the first equation that we made!

12 + 14 = 26

true

( dont forget to replace the x for your answer 16 )

i hope this helps you! and if you need anymore help or if you need me to explain this better then feel free to comment! :)

Phantasy [73]3 years ago

4 0

You send 14 26-12=14

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Simplify this algebraic expression Z-4/4+8 A. Z-7 B.z+7 C.z+9 D.z-3

zheka24 [161]

Z-4/4+8

Z - 1 + 8

Z + (-1 + 8)

Z + 7

7 0

4 years ago

Read 2 more answers

The sum of three numbers is 102. The first number is 6 more than the second. The third number is 4 times the second. What are th

const2013 [10]

Answer:

1st number: 22

2nd number: 16

3rd number: 64

Step-by-step explanation:

x + y + z = 102

x = 6 + y

z = 4y

plug that in!

(6 + y) + y + (4y) = 102

get rid of the parenthesis (I added them so you could see what I was replacing) and add like terms.

6 + 6y = 102

move 6 to the other side.

6y = 96

y = 16

now that you know one number, you can solve the equations for the rest!

x = 6 + (16)

z = 4(16)

__________________________________________________________

x = 22

y = 16

z = 64

6 0

3 years ago

Using the figure to the right, if RSTU is a rhombus, find measure RST.

sammy [17]

Given:

In rhombus RSTU, $m\angle RUV=(10x-23)^\circ$ and $m\angle TUV=(3x+19)^\circ$ .

To find:

The $m\angle RST$ .

Solution:

We know that, diagonals of a rhombus are angle bisector. So,

$m\angle RUV=m\angle TUV$

$(10x-23)^\circ=(3x+19)^\circ$

$10x-23=3x+19$

Isolating variable terms, we get

$10x-3x=23+19$

$7x=42$

Divide both sides by 7.

$x=\dfrac{42}{7}$

$x=6$

Now,

$m\angle RUV=(10x-23)^\circ$

$m\angle RUV=(10(6)-23)^\circ$

$m\angle RUV=(60-23)^\circ$

$m\angle RUV=37^\circ$

And,

$m\angle TUV=(3x+19)^\circ$ .

$m\angle TUV=(3(6)+19)^\circ$

$m\angle TUV=(18+19)^\circ$

$m\angle TUV=37^\circ$

Now,

$m\angle RUT=m\angle RUV+m\angle TUV$

$m\angle RUT=37^\circ+37^\circ$

$m\angle RUT=74^\circ$

We know that opposite angles of a rhombus are equal.

$m\angle RST=m\angle RUT$

$m\angle RST=74^\circ$

Therefore, the measure of angle RST is $74^\circ$ .

3 0

3 years ago

the value y varies directly with x. which function represents the relationship between x and y if y=20/3 when x=30?

joja [24]

If y varies directly with x, means that they can be modeled by a linear equation, lets choose a line with 0 y intercept, that is:
y = mx + b
y = mx
where m is the slope of the line, now we plug in the data we have:
y = mx
20/3 = m(30)
solving for m:
m = (20/3)(1/30)
m = 20/90
m = 2/9
so the line equation, or function modeling the y and x relationship is:
y = (2/9)x

6 0

3 years ago

5. Investment account 1 starts with a balance of $200 and doubles every year. Investment account 2 starts with $1,000 and increa

Mnenie [13.5K]

Answer:

a. Account 1: 1 year Account 2: 10 years

b. Account 1: 2 years Account 2: 30 years

c. The first account grows exponentially, while the second one grows at a linear rate. Therefore, over time the first account tends to surpass the second one in value.

Step-by-step explanation:

The first account can be modeled by using a compounded formula with 100% rating, since it doubles every year. The formula is shown below:

M = C*(1 + r)^t

Where M is the final amount, C is the initial amount, r is the interest rate and t is the elapsed time. If r = 1, then it doubles every year, so we have the following expression for the first account:

M = 200*(2)^t

While the second acount grows at a steady rate of $100, therefore it can be modeled by the initial amount added by the growth rate multiplied by the elapsed time as shown below:

M = 1000 + 100*t

a. The first acount take 1 year to double, since it doubles every year.

In order for the second acount to double it needs to reach M = 2000, so we have:

2000 = 1000 + 100*t

100* t = 2000 - 1000

100*t = 1000

t = 10

It will take 10 years to double.

b. The first account will double again in 1 more year, so 2 years total.

The second account will need to reach M = 4000, therefore:

4000 = 1000 + 100*t

100*t = 4000 - 1000

100*t = 3000

t = 30

It'll take 30 years total for the second account to double again.

c. Since the first account grows exponentially it grows at a faster rate in comparison to the second one that grows linearly over time. Therefore over time the first account tends to surpass the second one in value.

5 0

3 years ago