Translate the sentence into an equation.

The sum of 5 times a number and 6 is equal to 7

Answers

Answer 1
Hello!

For these types of problems, we just need to know a few key words and what they mean. In these word problems:


Times= multiplication

A number= a variable (like x)

And= adding

Sum= adding

Is equal to= an equal sign!

Now, let’s use those clues to transform these words into an equation.

“5 times a number” means 5 multiplied by a variable: 5x

“And” means adding: 5x+6

“Is equal to 7” means put an equal sign, and then 7: 5x+6=7

Therefore, your equation is: 5x+6=7

I hope this helped! Comment if you have any questions :))


Related Questions

Help please asap first answer get brainliest
Beging you please

Answers

Answers:

12. 2 3/5+1 4/6 = (2+1)+(3/5+4/6) = 3+19/15 = 64/15

13. 2/4*4/6 = 8/24 = 1/3

14. 3/4*3/6 = 9/24 = 3/8

15. 2/6*4/6 = 8/36 = 2/9

16. 2/4*1/6 = 2/24 = 1/12

17. 3/4/1/6 = 18/4 = 9/2

18. 3/4/2/4 = 12/8 = 3/2

19. 3/6/4/6 = 18/24 = 3/4

20. 5/7+2/7 = 7/7 = 1

21. 4/5+5/7 = 53/35

22. 3/5+5/5 = 8/5

23. 1/6-1/6 = 0

24. 3/7-2/3 = -5/21

25. 3/5-2/7 = 11/35

Convert a lot size of 2/9 acre to square feet given the conversion factor: 1 acre = 43,560 ft2

Answers

Answer:

9680 ft^2

Step-by-step explanation:

1 acre = 43,560 ft^2

(2/9) acre = (2/9)*43,560 ft^2

(2/9) acre = 9680 ft^2

Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that n begins with 1.) {-4, 8/3, -16/9, 32/27, -64/81, . . . } an =

Answers

Step-by-step explanation:

a1 = -4 = -4/1, a2 = 8/3

r = a2/a1 = (8/3) / (-4/1) = -2/3

the formula :

an = a1. r^(n-1)

so,

an = (-4). (-2/3)^(n-1)

Step-by-step explanation:

[tex]-4, \dfrac{8}{3}, -\dfrac{16}{9}, \dfrac{32}{27}, -\dfrac{64}{81},..., (-1)^n\dfrac{2^{n + 1}}{3^{n - 1}}, ...[/tex]

which point is a solution to the following system:
y=-3x-13
x+2y=4

Answers

Hope this can help you

7 + 3x - 12x = 3x+ 1
Solve for x

Answers

2/3 using basic algebra

Answer:

x =  1 /2

Step-by-step explanation:

isolate the variable by dividing each side by factors that dont contain the variable

decimal form will be: x =  0.5

hope that helps>3

Amy uses 48-cent stamps and 7-cent stamps to mail a gift card to a friend. If the postage is $2.07, how many of each stamp did Amy use?

Answers

9514 1404 393

Answer:

  3 48-cent stamps

  9 7-cent stamps

Step-by-step explanation:

The number of 48-cent stamps Amy can use is less than 207/48 ≈ 4.3, so we can find the numbers by trial and error. We want ...

  48a +7b = 207 . . . . . . postage in cents, where a, b are the numbers of stamps

  b = (207 -48a)/7 = 29 4/7 -a(7 -1/7) = (29 -7a) +(a+4)/7

In order for b to be an integer, we must have (a+4) a multiple of 7. The least value of 'a' that will make this true is a=3. That value gives ...

  b = (29 -7·3) +(3+4)/7 = 8 +1 = 9

Amy used 3 48-cent stamps and 9 7-cent stamps.

∠2= ∠5 , because they are
(I) Corresponding angles
(II) Alternate angles
(III) Co- interior angles
(IV) Linear pair

Answers

[tex] \sf \red {alternate \: angles}[/tex]

[tex] \huge \purple{ \underbrace{ \overbrace{Hope \: it \: helps}}}[/tex]

Please Help!!! Will give brainliest

Answers

Answer:

e) and f) doesn't exist.

Step-by-step explanation:

Other you can see in picture.

3)There are 9 colorful socks in a drawer: 3 green, 2
purple,
2 Navy, 1 yellow, and 1 pink. What's the
probability of picking a green putting it on and
then choosing a purple?

Answers

Answer:

1/24 chance

Step-by-step explanation:

To begin you would need to find the probability of picking a green sock which would be 3/9; and you could simplify this to 1/3.

After that you need to find the probability of picking a purple sock out of the 8 left, which would provide you with 1/8. To find the probability of both you would multiply 1/8 by 1/3 to find the combined probability which would leave you with 1/24.

help me do this plz

Answers

Answer:

X= –10

[tex] \frac{1}{2} x - 5 = - 10 \\ \frac{1}{2} x = - 10 + 5 \\ \frac{1}{2} x = - 5 \\ x = - 5 \times 2 \\ x = - 10[/tex]

I hope I helped you^_^

x=-10 because well 5 and 5 is 10

The profitability, P, of a popular restaurant franchise can be modeled by the function P (t) = t^4 – 9t^3 + 24t^2 – 20t, where t is the number of months since the restaurant opened. How many months after the franchise opens will it begin to show a profit?

5 months
3 months
2 months
1 month

(2 months isn’t the answer btw)

Answers

The profitability of the restaurant is when the function gives a value greater than 0. The franchise does not make a profit after 5, 3, 2 or 1 month of opening.

Given that:

[tex]P(t) = t^4 - 9t^3 + 24t^2 - 20t[/tex]

To calculate the profit, we simply substitute the values of t in the above equation.

(a) 5 months

This means [tex]t =5[/tex]

So, we have:

[tex]P(5) = 5^4 - 9\times 5^3 + 24 \times 5^2 - 20 \times 5[/tex]

[tex]P(5) = 0[/tex]

(b) 3 months

This means that [tex]t=3[/tex]

So, we have:

[tex]P(3) = 3^4 - 9 \times 3^3 + 24 \times 3^2 - 20 \times 3[/tex]

[tex]P(3) = -6[/tex]

(c) 2 months

This means that [tex]t = 2[/tex]

So, we have:

[tex]P(2) = 2^4 - 9 \times 2^3 + 24 \times 2^2 - 20 \times 2[/tex]

[tex]P(2) = 0[/tex]

(d) 1 month

This means that [tex]t = 1[/tex]

So, we have:

[tex]P(1) = 1^4 - 9 \times 1^3 + 24 \times 1^2 - 20 \times 1[/tex]

[tex]P(1) = -4[/tex]

For the restaurant to make a profit, the equation has to give a positive value. Since none of the values of t gives a positive value for P(t).

Then, we can say the franchise does not make a profit after 5, 3, 2 or 1 month of opening.

Read more about functions at:

https://brainly.com/question/24314573

A hot air balloon went from an elevation of 6,813 feet to an elevation of 3,168 feet in 54 minutes. What was its rate of descent?

Answers

I agree that you are still trying so hard and to not get to see you too lol

In a group 40% like football ,70% like cricket and 30% like both games

Answers

Answer:

40%

Step-by-step explanation:

40+30+70=140

180-140= 40

Carlo got a pet snake as a birthday present. On his birthday, the baby snake was just 26 cm long. He has been measuring its length weekly and has noticed that it has been growing approximately 2 cm each week.

Write an equation to represent the length of the snake in weeks since Carlo's birthday use L for length and w for weeks.​

Answers

The equation to represent the length of the snake in weeks:

[tex]L=2w+26[/tex]

Given:

A snake of lenght of 26 cemtimeters grows approximately 2 centimeter long each week.

To find:

The equation to represent the length of the snake in weeks

Solution:

Let the length of the snake in' w' weeks be 'L'.

The initial length of the snake on Carlo's birthday = 26 cm

At starting very first week the length of the snake was 26 cm. And after a week the lenght of the snake becomes 28 cm and then aftertwo weeks the length becomes 30 cm and so on.

Increase in length of the snake each week = 2 cm

And increase in length of the snake in 'w' weeks = (2×w) cm

And the length of the snake in terms weeks (w) will be given by equation:

[tex]L=2\times w+ 26\\L=2w+26[/tex]

The equation to represent the length of the snake in weeks:

[tex]L=2w+26[/tex]

Learn more about equation representation here:

https://brainly.com/question/11408596

In the Tigers Football Club, there are 9 players to each coach, while in the Eagles Football Club, there are 17 players to every 2 coaches. If the total number of players and coaches in the two clubs is 232, how many players and coaches are in each club?

Answers

9514 1404 393

Answer:

Tigers: 8 coaches, 72 playersEagles: 16 coaches, 136 players

Step-by-step explanation:

We can define a "basic unit" of each team to be the minimum number of players and coaches that can have the given ratio. For the Tigers, that is 1 coach and 9 players, for a total of 10 team members. For the Eagles, that is 2 coaches and 17 players, for a total of 19 team members. If we have t basic units of Tigers and e basic units of Eagles, then we want ...

  10t +19e = 232 . . . . . the total of players and coaches in the two clubs

We want t and e to be integers, so this is a Diophantine equation. It can be solved any of several ways, including use of the Extended Euclidean Algorithm. Here, we'll make some observations based on "number sense."

The value of e must be an even number between 0 and 232/19 = 12. The product of e and 19 must be a number that ends in 2, because 10t will end in 0, and the sum with 19e must end in 2.

The only multiple of 9 that ends in 2 is 9×8 = 72, so the value of e must be a positive number less than 12 that ends in 8. We must have e=8.

Then t=(232 -8×19)/10 = 8. This tells us there are 8 "basic units" of each team.

The Tigers have 8 coaches and 72 players.

The Eagles have 16 coaches and 136 players.

A bag of kibble and 4 cans of cat food cost $8.40. The kibble
costs $6. Use the equation 4x+6= 8.40 to find x, the cost of
one can of cat food.
A $0.65
B $0.60
C $0.30
D$0.70

Answers

Answer:

B: $0.60

Step-by-step explanation:

4x+6=8.40

4x=2.40

2.40 / 4 = .6

.6 = 0.60 or 60 cents

Answer:$0.60

Step-by-step explanation:

A bag a kibble is 6$

Subtract the cost for the kibble to the cost of all products.

  $8.40

-  $6.00  

  $2.40...  is the cost for all 4 cans of cat food.

Then divide $2.40 by 4... That will be B) $0.60

     

Determine the gradient of line AC​

Answers

Answer:

This formula can also be written as \(y - {y}_{1} = m\left(x - {x}_{1}\right)\). The standard form of the straight line equation is \(y = mx + c\) where \(m\) is the gradient and \(c\) is the \(y\)-intercept.

Can someone help me thanks!​

Answers

The value of the digit decreases

Answer:

If it goes to the left it becomes in the hundredths place meaning it decreases

Step-by-step explanation:

Help please ASAP!!!!!

Answers

Answer:

answer is c because you gota tranlate it left

Step-by-step explanation:

If a = 3+2✓2 then find the value of a^2+1/a^2
Pls answer first to answer get the brainliest crown
Pls answer ASAP​

Answers

Answer: 34

Step-by-step explanation:

[tex]a=3+2\sqrt{2} \\\\\dfrac{1}{a} =\dfrac{1}{3+2\sqrt{2}} =\dfrac{3-2\sqrt{2}}{(3+2\sqrt{2})(3-2\sqrt{2})} =\dfrac{3-2\sqrt{2}}{3^2-2^2*2} =3-2\sqrt{2}\\\\\\a+\dfrac{1}{a} =3+2\sqrt{2}+3-2\sqrt{2}=6\\\\(a+\dfrac{1}{a})^2=6^2=36=a^2+\dfrac{1}{a^2}+2\\\\\\a^2+\dfrac{1}{a^2}=36-2=34\\[/tex]

Select all that apply please!

Answers

Answer:

x= –4/5 , x= 2

Step-by-step explanation:

5x²-6x-14=-6

5x² –6x –14 +6=0

5x²–6x –8=0

(5x+4)(x-2)=0

x=–4/5

x=2

Hi! I'm happy to help!

To solve this, we simply have to replace x with the given values.

First, we have -14, let's apply that:

(5·(-14²))-(6·(-14))-14=

Now, let's solve (using the order of operations):

(5·(-14²))-(6·(-14))-14=

(5·196)-(6·(-14))-14=

980-(6·(-14))-14=

980-(-84)-14=

980+84-14=

1064-14=

1050=

1050≠-6

Option 1 is incorrect.

Next, let's substitute 14 for x:

(5·14²)-(6·14)-14=

Now, let's solve:

(5·14²)-(6·14)-14=

(5·196)-(6·14)-14=

980-(6·14)-14=

980-84-14=

896-14=

880=

880≠-6

Option 2 is incorrect.

Now, let's substitute -7 for x:

(5·(-7²))-(6·(-7))-14=

Now, let's solve:

(5·(-7²))-(6·(-7))-14=

(5·49)-(6·(-7))-14=

245-(6·(-7))-14=

245-(-42)-14=

245+42-14=

287-14=

273=

273≠-6

Option 3 is incorrect.

Now, let's substitute 7 for x:

(5·7²)-(6·7)-14=

Now, let's solve:

(5·49)-(6·7)-14=

245-(6·7)-14=

245-42-14=

203-14=

189=

189≠-6

Option 4 is incorrect.

Now, let's substitute -2 for x, and solve:

(5·(-2²))-(6·(-2))-14=

(5·4)-(6·(-2))-14=

20-(6·(-2))-14=

20-(-12)-14=

20+12-14=

32-14=

18=

18≠-6

Option 5 is incorrect.

Now, let's substitute 2 for x and solve:

(5·2²)-(6·2)-14=

(5·4)-(6·2)-14=

20-(6·2)-14=

20-12-14=

8-14=

-6=

-6=-6

Option 6 is correct.

Now, let's substitute -1 for x and solve:

(5·(-1²))-(6·(-1))-14=

(5·1)-(6·(-1))-14=

5-(6·(-1))-14=

5-(-6)-14=

5+6-14=

11-14=

-3=

-3≠-6

Option 7 is incorrect.

Now, let's substitute 1 for x and solve:

(5·1²)-(6·1)-14=

5-(6·1)-14=

5-6-14=

-1-14=

-15=

-15≠-6

Option 8 is incorrect.

Now, let's substitute -4/5 for x and solve:

(5·(-4/5²))-(6·(-4/5))-14=

(5·0.64)-(6·(-4/5))-14=

3.2-(6·(-4/5))-14=

3.2-(-4.8)-14=

3.2+4.8-14=

8-14=

-6=

-6=-6

Option 9 is correct.

Now let's substitute 4/5 for x and solve:

(5·4/5²)-(6·4/5)-14=

(5·0.64)-(6·4/5)-14=

3.2-(6·4/5)-14=

3.2-4.8-14=

-1.6-14

-15.6

-15.6≠-6

Option 10 is incorrect.

To summarize, you should pick option 6, and option 9.

I hope this was helpful, keep learning! :D

On a scatter plot, what is the difference between a positive and a negative correlation

Answers

Answer:

Positive correlation means that as the first variable increases, the second variable increases as well. ... Negative correlation would mean that as one variable increases, the second variable decreases. Negative correlation corresponds to points that move down as you go from left to right on your scatter plot

Hope this helps you!

Please help

Solve the inequality.
|14 – 5x] > 8
[?]
x <
or x >
A

Answers

Answer:

x< -4/1 or x > 6/5

If our answers are different, just say so :)

WILL MARK AS BRAINLIEST

Answers

Answer:

... uhh I'm only in middle school but uhh I think 25??

a square playground measures 2500 ft^2 what is the distance around the edge of the playground?​

Answers

Answer:

20000

Step-by-step explanation:

2x-8=6 do addition or subtraction first. then rewrite the new equation and solve.

Answers

Answer:

x = 7

Step-by-step explanation:

2x - 8 = 6              (Given)

2x - 8 + 8 = 6 + 8  (Add 8 on both sides)

2x = 14                  (Simplify)

2x/2 = 14/2           (Divide 2 on both sides)

x = 7                      (Simplify)

You deposit $1500 in an account that earns a simple interest at an annual rate of 3%. How long must you leave the money in the account to earn $900 in interest?

Answers

9514 1404 393

Answer:

  20 years

Step-by-step explanation:

The interest earned is found using the formula ...

  I = Prt

where principal P is invested at rate r for t years. Solving for t, we find ...

  t = I/(Pr) = $900/($1500×0.03) = 900/45

  t = 20

You must leave the money in the account for 20 years to earn $900 in interest.

Given the triangle below, find the angle θ in radians. Round to four decimal places.

Answers

Answer:

θ = 0.9626

Step-by-step explanation:

Hi there!

We're given the hypotenuse and the leg adjacent to θ in this right triangle. To find θ, we can use the cosine ratio:

[tex]\displaystyle cos\theta=\frac{adjacent}{hypotenuse}[/tex]

Plug in the given information

[tex]\displaystyle cos\theta=\frac{4}{7}[/tex]

Use the inverse cosine ratio

[tex]\displaystyle \theta=cos^-^1(\frac{4}{7})[/tex]

Plug this into your calculator (and ensure you're solving for radians instead of degrees in the settings)

[tex]\displaystyle \theta=0.9626[/tex]

Therefore, θ = 0.9626 when rounded to four decimal places.

I hope this helps!

Answer:

theta = 0.9626 radians

Step-by-step explanation:

cos theta = a/h

cos theta = 4/7 = 0.5714

so, the angle theta = arc cos 0.5714 =

55.1520 °

in radians => 55.1520 × π / 180°

= 0.9626 radians

help me again Scooby do
I got more Scooby snac just for you, Imao​

Answers

MATHEMATICS // ANSWER

The correct answer is letter B. V = 141.3cm³

Here's the Solution:

V = π r²hV = (3.14) (3cm)² (5cm)V = (3.14) (9cm²) (5cm)V = (3.24) (45cm³)V = 141.3cm³

HOPE THIS HELPS. GOODLUCK:)

If AB is parallel to DE, then CD is:

Answers

Answer:

4

Step-by-step explanation:

because BC=CD as it is parallel that means all the sides are equal

The value of CD is 20/3.

The correct option is (A).

What is Similarity in Triangles?

Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

In ACB and ECD,

angle CAB= angle DEC

angle CBA= angle EDC

angle DCE = angle ACB

By, AA similarity criteria,

ΔACB~ΔECD

Now,

AC/CE= BC/CD

3/5=4/CD

CD= 20/3

Learn more about similarity property here:

https://brainly.com/question/25882965

#SPJ2

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