1.) Mr. Taylor weighs 300 pounds. He went on the Subway diet and was guaranteed to lose 5 pounds per week. Write an equation that could be used to find how many weeks, w, it would take for him to weigh 150 pounds
2.)You have $60 and your sister has $120. You are saving $7 per week and she is saving $5 per week. How long will it take before you and your sister have the same amount of money?

Answers

Answer 1

Answer:

1.) 300 - 5w = 150

2.) 30 weeks

Step-by-step explanation:

w = weeks on the diet

if every week he's on the diet, that means that the weeks * 5 is how many pounds he loses. If he's on the diet one week then he loses 5 pounds. 2 weeks then 10 pounds... etc. But because he's losing punds the value is negative

He starts at 300 pounds so the y-intercept (starting value) would be 300

Finally, because he's looking to get to 150 pounds, that is the final value you're solving for

So this is your firat equation:

300 - 5w = 150

Then we are looking for when two different eqaution have the same value.

Your equation is: 60 + 7w

Her equation is: 120 + 5w

Your final equation is 60 + 7w = 120 + 5w

Solve for this by getting w on one side, and your plain old variable-less value on the other. Do this by subtracting 5w from each side, as well as 60.

Your equation is now 2w = 60

Then divide the whole equation by 2, and you get w = 30


Related Questions

cebOOK
Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution.
y = -1 + 2
y = 3r -4

Answers

Answer:

r = 5/3

Step-by-step explanation:

Among 120 people , 80 drink tea and 40 drink
coffee. 20 of them drink neither tea or coffee;
answer the following question with the help of
a venn-diagram
1.how many of them drink tea only​

Answers

Answer:60

[tex]please \: see \: the \: attached \: picture \: for \: \\ full \: solution \\ hope \: it \: helps....[/tex]

The temperature was 54° at 7:00 a.M. At 3:00 p.M. On the same day, the temperature was 82°. What is the rate of change in temperature during this time?

Answers

Answer:

3.5°/hour

Step-by-step explanation:

Rate of change of temperature=change in temperature/Change in time

Change in temperature

=82° - 54°

=28°

Change in time=3:00pm - 7:00am

=8:00 hours

Rate of change of temperature=28°/8 hours

=3.5°/hour

Answer:

The rate of temperature change is 3.5 degree celcius per hour

Step-by-step explanation:

Here, we want to calculate the rate of change of temperature

Firstly, we calculate the number of hours it took the temperature to change

that mathematically = 15:00(3pm) - 7:00(7 am) = 8 hours

now let’s calculate the temperature rise = 82-54 = 28

The rate of temperature change is thus = change in temperature/ number of hours taken

= 28/8 = 3.5 degree celcius per hour

There is a bag filled with 3 blue and 4 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 reds?

Answers

Answer:

here

Step-by-step explanation:

The probability of getting 1 red is 4/7. The probability of getting 2 reds in a row is (4/7)^2 = 16/49.

What is the value of 3 in 731.8?

Answers

Answer:

Tens

Step-by-step explanation:

the three is in the tens value

Answer:

value = 30

place = tens

Step-by-step explanation:

( attached for reference)

the digit "3" is in the tens place.

Hence the value is "3-tens" or 3 x 10 = 30

a : 27=6:18, find a​

Answers

Answer: 9

Step-by-step explanation:

The reason for this answer, is because when you decide 18 by 6 it gives you 3. Which means that when you devide 27 by 3 it will give you your answer. 9. You can make sure it’s correct when you do the math. 27/9=3. 18/6=3.

This way, your answers are equivalent to each other.

If you found this answer helpful, give it a five-star rating and a thanks! It would really mean a lot!

(Even a brainliest if you want ;D)

Answer:

a=9

Step-by-step explanation:cross multiply

Solve for a side in a right triangle

Answers

Answer:

1.88 = ?

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adjacent / hypotenuse

cos 20 = ?/ 2

Multiply each side by 2

2 cos 20 = ?

1.879385242 = ?

To the nearest hundredth

1.88 = ?

Hassan writes an algebraic expression with four terms. The x-term has a coefficient of 2, and the z-term has a coefficient of -1. The expression has a constant term less than zero. Which expression could he have written? 2 x + z + 5 minus 6 z squared
2 x minus z minus 5 + 2 z squared
Negative 2 x minus z minus 5 + 2 z squared
Negative 2 x + z minus 5 + 2 z
squared
Thank you in advice

Answers

[tex]2x - z - 5 + {2z}^{2} [/tex]

Step-by-step explanation:

The coefficient of x is 2= 2x

the coefficient of z is -1 which is = (-1)z= -z

the constant term is less than zero which means that the constant term is a negative number.

so the answer becomes

[tex]2x - z - 5 + {2} { (- 1)}^{2} [/tex]

which is =2x-z-3

Answer:

2 x minus z minus 5 + 2 z squared

Step-by-step explanation:

20 POINTS !! PLEASE ANSWER THIS MATH QUESTION !!

Answers

Answer:

7.8

Step-by-step explanation:

Sine 50=6/x

x= 6/Sine 50

x=7.8

Answer:

h ≈ 7.8 cm

Step-by-step explanation:

Use sines to determine the length of the hypotenuse. You know that there is a 50 degree angle, and that the ratio for sine is opposite/hypotenuse. You know that the opposite side from that angle is 6 cm, so you can set up the following equation:

sin50 = 6/h

sin50h = 6

h ≈ 7.8 cm

Can someone help me with this?
will mark as brainliest.



What angle corresponds to ∠M?



Answers

Answer: Angle B

Step-by-step explanation:

Since the two shapes are similar. The angles stay with the shape. This means that angle M should correspond to angle B.

Answer: angle b .

Step-by-step explanation:

You buy 3 new shirts for $17 each and 5 new pairs of pants for $12 each. You give the cashier $110. Which of the following is a good estimation of the change you will get back?

Answers

Answer:No change

Step-by-step explanation:

3*17=51 + 5*12=60

So 51+60=111. So in reality you would still need to pay $1.

Answer:

you still owe 1 dollar to the store

Three less than twice a number is seventeen. What is the number?

Answers

The answer is 20 I believe

what is to be added to -1 to get the number 7 by 5​

Answers

Answer:

Step-by-step explanation:

let the number be x

-1 + x = 7/5

x = 7/5 +1

x = 12 /5

please mark me as the brainliest

Answer:

x=12/5

Step-by-step explanation:

WIll MARK BRAINLIEST IF ANSWER IN 2 MINUTES!!!! Which represents the equation 6 x + 3 y = 12 when solved for y? y = negative 2 x + 4 y = 2 x + 4 y = negative 2 x minus 4 y = 2 x minus 4

Answers

Answer:

y=-2x+4

Step-by-step explanation:

6x+3y=12

3y=-6x+12

y=-2x+4

Answer:

The correct answer is y A.) = -2x + 4

Step-by-step explanation:

i just did the test on edge 2020 and got it right

PLEASE HELPPPPPPPPP
MARKING BRANLIEST

Answers

Answer:

A

A

5

Step-by-step explanation:

Rectangular Prism A

volume = length * width * height = 7 cm * 7 cm * 5 cm = 245 cm^3

Rectangular Prism B

volume = length * width * height = 8 cm * 6 cm * 5 cm = 240 cm^3

Answers:

A

A

5

Simply Savings Bank offers a simple interest rate of 10% per year. Compound Capital Bank offers an interest rate of 8% per year compounded continuously. If Shakira plans to invest $200 for 5 years, which bank should she choose?

Answers

Answer:

She should choose the Simply Savings Bank, since she'll earn around 2 dollars more in comparison to the other bank.

Step-by-step explanation:

A simple interest rate account yields a return that follows the formula below:

[tex]return = C + C*r*t[/tex]

Where C is the invested money, r is the interest rate and t is the elapsed time in years.

While a compound interest rate account yields a return that follows the formula below:

[tex]return = C*e^{r*t}[/tex]

Therefore for the Simply Saving Bank she'll earn:

[tex]return_{1} = 200 + 200*0.1*5\\return_{1} = 200 + 100\\retrun_{1} = 300[/tex]

While the Capital Bank she'll earn:

[tex]return_2 = 200*e^{0.08*5}\\return_2 = 200*e^{0.4}\\return_2 = 200*1.49182\\return_2 = 298.364[/tex]

She should choose the Simply Savings Bank, since she'll earn around 2 dollars more in comparison to the other bank.

Given ΔADC and ΔAEB, What is AE?

Answers

Answer:

AE = 43.2 units

Step-by-step explanation:

As per the given question image, it can be seen that in the [tex]\triangle ADC \text { and }\triangle AEB :[/tex]

1. [tex]\angle B = \angle C = 90^\circ[/tex]

2. [tex]\angle A[/tex] is common to both the triangles.

3. Two angles are common, so the third angle [tex]\angle E[/tex] is also equal to [tex]\angle D[/tex].

All the three angles in the [tex]\triangle ADC \text { and }\triangle AEB[/tex] are equal to each other, hence the triangles are similar.

As per the property of similar triangles, the ratio of their sides will be equal.

AB : AC = AE : AD

AC = 88 units

BC = 55 units

AB = AC - AB = 33 units

Let side AE = [tex]x[/tex] units

Side AD = AE + ED

So, AD = [tex]x + 72[/tex]

Using the ratio:

[tex]\dfrac{AB}{AC} = \dfrac{AE}{AD}\\\Rightarrow \dfrac{33}{55} = \dfrac{x}{x+72}\\\Rightarrow 55x = 33 \times 72\\\Rightarrow x = \dfrac{3\times 72}{5}\\\Rightarrow x = 43.2\ units[/tex]

So, AE = 43.2 units

Kelsi has 48 books 2/6 of those books are fantasy and sci-fi .3/8 of those books are sci-fi . How many of kelsi’s books are sCI-fi

Answers

Answer:

We know that 2/6 * 48 = 16 books are fantasy and sci-fi. Of those, 16 * 3/8 = 6 books are sci-fi.

Answer:

[tex]6[/tex]

Step-by-step explanation:

[tex]\frac{2}{6} \times 48[/tex]

[tex]16[/tex]

[tex]16 \times \frac{3}{8}[/tex]

[tex]\frac{48}{8}[/tex]

[tex]=6[/tex]

without actually calculating the cubes, find the value of (16)^3+(-7)^3+(-9)^3

Answers

the value i got was 3024

Answer:

(16)^3 = (7 + 9)^3 = 7^3 + 9^3 + 3 x 7^2 x 9 + 3 x 9^2 x 7

=>(16)^3 + (-7)^3 + (-9)^3 = (-7)^3 + (-9)^3 + 7^3 + 9^3 + 3 x 7^2 x 9 + 3 x 9^2 x 7

                                    =  [(-7)^3 + 7^3] + [9^3 + (-9)^3] + 3 x 7^2 x 9 + 3x9^2x7

                                    =  0 + 0 + 3 x 7^2 x 9 + 3 x 9^2 x 7

                                    = 3 x 7^2 x 9 + 3 x 9^2 x 7

                                    = 3 x 9 x 7 x (7 + 9)

                                    = 3 x 7 x 9 x 16

                                    = 3 x 7 x 9 x 8 x 2

                                    = 6 x 7 x 8 x 9

                                    = 3024

Hope this helps!

:)

pls help me any bit can help need it asap though. only need part lll the words cutt of are show work​

Answers

Answer:

y = 4/3 x - 3.

Step-by-step explanation:

III

y - 5 = 4/3(x - 6)

y = 4/3(x - 6) + 5

y = 4/3 x - 8 + 5

y = 4/3 x - 3.

What is the equation of the line, in point-slope form, that passes through the points (-7, -10) and (-6, -8)?

Answers

Answer:

not sure if that is the Answers

The equation of a line is y = mx where m is the slope. That line passes through the origin. If you want it to pass through some point (a, b) you subtract the coordinates like this: y - b = m (x - a). That is the point-slope form, and you can rewrite it in other forms if it is convenient. You may do this with any point on the line.

Step-by-Answers

Find the measure of angle DEH:
E
D
ti
+
F
56°
다.
G
Value: 10
The measure of angle DEH is ___ degrees.

Answers

Answer:

62

Step-by-step explanation:

I did 180-56=124

124/2 which was 62


You can compute the slope of a line by using the slope ___

Answers

You can compute the slope of a line by using the slope formula. This is given by:

slope,m=(change in y-axis)/(change in x-axis)

           =(Δ y-axis)/(Δ x-axis)

Given the points (x1,y1) and (x,y) from a linear graph, then:

slope m will be:

          m=(y-y1)/(x-x1)

You can compute the slope of a line by using the slope formula.

A mechanic cuts 14 pieces of copper
tubing from a coil. Each piece is 3 1/2
inches long. What is the total length
used?

Answers

Answer:

49

Step-by-step explanation:

14*3.5

Because 49/3.5 = 49

Thats how I got it

Hope it helps

For how many teachers are both p Ar true and q false?
The diagram represents three statements about teachers:
p.9, andr
2.
OOOO
9
5
GA
7
9
2.
9
4.
6
Mark this and retum
Save and Exit
Next
Submit

Answers

Answer:

C. 5

Step-by-step explanation:

Believe in me

Find the remainder when p(x)= x^5 + x^4 + x^3 + x^2 + 2x + 2 is divided by q(x) = x + 1

Answers

Answer:

0

Step-by-step explanation:

Given a polynomial p(x) divided by (x + h), then the remainder is

p(- h)

Here divisor is (x + 1), so evaluate p(- 1) for remainder

p(- 1) = [tex](-1)^{5}[/tex] + [tex](-1)^{4}[/tex] + (- 1)³ + (- 1)² + 2(- 1) + 2

        = - 1 + 1 - 1 + 1 - 2 + 2

        = 0

This means that (x + 1) is a factor of p(x)

Tobias made a fruit salad with a blueberry to raspberry ratio of 8:6. Tobias' container of blueberries contains 72 blueberries. If he keeps to the same ratio, how many raspberries will Tobias use?

Answers

Answer:

54.

Step-by-step explanation:

8/6 = 72/ x where x is the number of raspberries.

8x = 6*72

8x = 432

x = 54.

Please help ! I really don’t understand:((

Answers

Answer: B

Step-by-step explanation:

just took that

Answer:

the answer is B

Step-by-step explanation:

Na figura, OC é bissetriz do ângulo AOB. A medida de BÔC está representada,em graus, por uma expressão algérica.

A: Represente, por uma expressão algébrica, a medida de AÔB em graus.

B: Calcule a medida de BÔC e AÔB para x=9

Answers

Answer:

We know by given that OC bisects the angle, which means it divides the angle AOB in two equal parts. So,

[tex]m \angle AOB = 3x +5 + 3x +5 =6x+10[/tex]

If [tex]x=9[/tex], then we use this value to find each angle.

[tex]m \angle BOC = 3x+5 =3(9)+5=27+5=32[/tex]

Therefore, angles BOC and AOC measure 32°.

If $5000 earns $6000 simple interest in 12 years, find the interest rate.

Answers

Answer:

2.2% interest

Step-by-step explanation:

The interest rate would be 10% per year
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What is the probability that Ron or Hermione become the president of this group Solve for u.-8u + 2u - -12u - 19u + -2u = 15what does u eqaul