The larger of two consecutive integers is 13 greater than four times the smaller. Find the integers. -3, -4 7, 8 3, 4

Answers

Answer 1

Answer:

The integers are -3 and -4.

Step-by-step explanation:

Two consecutive integers are an integer and the one just greater or just less than the4 first one, such as 5 and 6, or -8 and -9.

If the smaller integer is x, then the next greater integer is x + 1.

x + 1 = 4x + 13

-3x = 12

x = -4

x + 1 = -3

Answer: The integers are -3 and -4.

Check:

Smaller integer: -4

Larger integer: -3

4 times smaller integer = 4 * (-4) = -16

13 greater than 4 times smaller = -16 + 13 = -3 = greater integer

-3 and -4 is the correct answer.

Answer 2

Answer:

-3 and -4

They are indeed correct.


Related Questions

Solve the equation. ( − 7 ) ( − 5 ) =

Answers

Answer:

35

Step-by-step explanation:

brackets symbolise multiplication,which means you have to multiply the numbers in both brackets by each other including their signs.

a negative multiplied by a negative is a positive and 7×5 is 35

therefore

-7×-5=35

I hope this helps

Find what % of 54 is 6

Answers

Answer:

11.11%

Step-by-step explanation:

6/54 x 100

=11.11

Pls help what is 46743356644 x 5545445555

Answers

Answer: 52.288.802.199

h(x)=-x-1h(x)=−x−1, find h(-2)h(−2)

Answers

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

Given function :

[tex]h(x) = - x - 1[/tex]

we have to find h(-2) :

[tex]h( - 2) = - ( - 2) - 1[/tex]

[tex]h( - 2) = 2 - 1[/tex]

[tex]h ( - 2) = 1[/tex]

|8w+5|=21
please show work

Answers

Answer:

w=-13/4

w=2

Step-by-step explanation:

|8w+5|=21

Step by step solution :

STEP

1

:

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

     |8w+5| = 21

STEP

2

:

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |8w+5|

For the Negative case we'll use -(8w+5)

For the Positive case we'll use (8w+5)

STEP

3

:

Solve the Negative Case

     -(8w+5) = 21

    Multiply

     -8w-5 = 21

    Rearrange and Add up

     -8w = 26

    Divide both sides by 8

     -w = (13/4)

    Multiply both sides by (-1)

     w = -(13/4)

    Which is the solution for the Negative Case

STEP

4

:

Solve the Positive Case

     (8w+5) = 21

    Rearrange and Add up

     8w = 16

    Divide both sides by 8

     w = 2

    Which is the solution for the Positive Case

STEP

5

:

Wrap up the solution

w=-13/4

w=2

PLEASE EXPLAIN YOUR REASONING!!

If a loan is $2,000.00 at 12 percent annual interest and the loan was made on June 15 and due on December 15, what is the ordinary interest?

A. $72.00
B. $24.00
C. $120.00
D. $240.00​

Answers

Answer:

$120.00

Step-by-step explanation:

2000/100 = $20 = 1%

20x12 = $240 = annual intrest = 12m

June 15 - December 15 = 6m

240/2 = $120 for half a year intrest!

Answer:

$120.00

Step-by-step explanation:

Round 38,451 to the nearest..
Ten thousand:
Thousand:
Hundred:
Ren:

Answers

Answer:

Ten Thousand: 40000

Thousand: 38000

Hundred: 38500

Ren: what is ren-?

Step-by-step explanation:

Ten thousand: 40,000

Thousand: 38,000

Hundred: 38,500

Ten: 38,450

When you round you have to look to the number to the right of the number your rounding.

For example, to round 38,451 to the nearest ten thousand you find the ten thousand place (3) and look to the right or it and find that number (8). It the number to the right is 5 or more you round up. If the number is less then 5 it stays the same.

Just try to remember this…

5 or more, raise the score

4 or less let it rest.

8 is greater than 5 so the 3 turns to a 4 and you make everything behind the 4 zeros.

Now let’s try 38,451 rounded to the thousand. Look to the right and see that the number is 4. 4 or less let it rest, so the thousands place (8) stays the same. But don’t forget to make everything behind it zero

Hope this helped!

Could you mark brainliest please?

5) A rectangular piece of paper is 10cmn long and 5cm broad.find its area,​

Answers

Area=L•W
10cm•5cm= 50cm^2

What is the value of t?



t−122=3t2−3

i need it asap

Answers

Answer:

t+3t=2-3+122

4t=121

divide both sides by four

4t/4=121/4

t=3.25

Answer:

t = 30.5

Step-by-step explanation:

t-122=[tex]\frac{3t}{2-3}[/tex]

t-122=-3t           (2-3=-1, so divide by -1 to get -3t)

4t=122

t=[tex]\frac{122}{4}[/tex]

t=30.5

Help with this question please

Answers

Answer:10

Step-by-step explanation:

will give brainliest

Answers

Answer:

the answer isA

Step-by-step explanation:

3x+1+x²-6

=3x-5+x²

=x²+3x-5

Answer:

A

Step-by-step explanation:

m/_GFN = 4x+10, m/_NFE= 14x+3, and m/_ GFE=157°. Find m/_NFE. PLEASE EXPLAIN Thoroughly!!

Answers

Answer:

4x+10+14x+3=157

18x+13=157

18x=157-13

18x = 144

X = 144 /18

X= 8

NFE= 14x+3

= 14(8)+3

=112+3

=115

Step-by-step explanation:

Check Your Understanding HELP ASAP!!!​

Answers

Answer:

B. [tex]9(\frac{4}{5} * \frac{1}{3})[/tex]

Step-by-step explanation:

In mathematics, the associative property is a property of some binary operations, which means that rearranging the parentheses in an expression will not change the result. In propositional logic, associativity is a valid rule of replacement for expressions in logical proofs.

As the associate property is switching the numbers in the parentheses, B is the answer as it switched the [tex]\frac{1}{3} and \frac{4}{5}[/tex] while keeping the equation the same, and not editing any information that would change the outcome (answer) of the problem.

solve for b: a= a+b+c/3

Answers

HERE YOU GOOOOO THIS IS THE CORRECT ANSWER HOPE THIS HELPED!

Which sequence shows The numbers in order from least to greatest?
(A.) -2/3, 1/2, -3/4
(B.) 1/2, -2/3,-3/4
(C.)-3/4, -2/3, 1/2
(D.)-2/3, -3/4, 1/2

Answers

Answer:33 as an answer

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

Does the point (13, –5) lie on the line y = 8 – x? Show your workings.

Answers

Answer:

well is there a picture ? so i can see if it does or doesnt

Step-by-step explanation:

Which step is not part of the 5-point credit card debt elimination plan?
a.
calculate how much money you earn each month
b.
list all of your current credit cards
c.
add up all the amounts you have in the minimum payment column
d.
pay only the minimum amount on all credit cards

Answers

Answer:

b.list all of your current credit cards

Step-by-step explanation:

PLEAS EHELP ME I AM BEGGING YOU!!!!!!! EXTRA POINTS AND BRAINLIEST

Answers

1. v= 0.013m/s

t = 60 seconds

d = v×t

= 0.013×60

= *0.78 m*

2. v= 17.6 m/s

d= 100m

t = d/t

= 100/17.6

= *5.68 s*

If a horse runs 3/4 km in a minute, how many kilometers will the horse run in 7 minutes?

Answers

A lot of kilometers beans
3/4(7)= 21/4 or 5 1/4 km

linear or non linear?​

Answers

Answer:

non linear

Step-by-step explanation:

when you graph it, the line is a zero slope

non linear because no x has the same number

WILL MARK BRAINLIEST
Translate into expression
One-half the difference of thrice a number and four

Answers

Answer:

[tex]3x - 4[/tex] ÷ [tex]\frac{1}{2}[/tex]

Can I get help on 1,2 and 5?

Answers

Answer:

Question 1: [tex]x=4[/tex]

Question 2: [tex]x= \pm7[/tex]

Question 5: The dimensions of one face of the container are 6 by 6 inches.

Step-by-step explanation:

Hi there!

Question 1

[tex]x^3=64[/tex]

Rewrite 64 as a power of 3:

[tex]x^3=4^3[/tex]

(We could find that 4³ = 64 through trial and error)

This above equation makes it true that x=4. If aⁿ = bⁿ, then a=b:

[tex]x=4[/tex]

Question 2

[tex]x^2=49[/tex]

Rewrite 49 as a power of 2:

[tex]x^2=7^2[/tex]

Again, we could have found this through trial and error, or by looking at our multiplication tables.

[tex]x=7[/tex]

However, remember that positive and negative numbers will all square to be a positive number. So, therefore, x can be -7 OR 7 (since both, when squared, equal 49):

[tex]x= \pm7[/tex]

Question 5

Let x be equal to the length of one edge of the cube.

Volume of a cube formula: [tex]V=x^3[/tex]

Plug in the given information, when V is the volume:

[tex]216=x^3[/tex]

Rewrite 216 as a power of 3:

[tex]6^3=x^3[/tex]

^ We could have found this through trial and error.

[tex]x=6[/tex]

Therefore, the dimensions of one face of the container are 6 by 6 inches.

I hope this helps!

What is the value of the expression 11 + (fraction 1 over 2)4 ⋅ 48?

Answers

Hello!

Answer:

107

Step-by-step explanation:

Hope this helps

Answer:

17

Step-by-step explanation:

d

A local foundation organized a lunch party for all the kids in the community. They ordered a total of 500 burger meals. They ordered plain burgers at $1.75 each cheeseburgers at $2.50 each, and chicken burgers
at $3.20 each. They ordered mostly cheeseburgers, and 100 fewer chicken burgers than plain burgers. The total order came to $1.172.50.
Define the variables and write a system of equations to represent the
situation.

Answers

9514 1404 393

Answer:

x + y + z = 5002.50x +1.75y +3.20z = 1172.500x +y -z = 100

Step-by-step explanation:

Let x, y, z represent the numbers of cheeseburgers, plain burgers, and chicken burgers ordered for the party.

We have three relations given. Each can be used to write an equation.

  x + y + z = 500 . . . . . . . . . a total of 500 meals were ordered

  2.50x +1.75y +3.20z = 1172.50 . . . . . the total cost

  0x +y -z = 100  . . . . . . . . . . 100 fewer chicken were ordered than plain

_____

Additional comment

We put the coefficient of x as 0 in the last equation to facilitate writing this system as an augmented matrix.

  [tex]\left[\begin{array}{ccc|c}1&1&1&500\\2.50&1.75&3.20&1172.50\\0&1&-1&100\end{array}\right][/tex]

The solution is (x, y, z) = (300, 150, 50).

Please look at the pic if im wrong please let me and show me where i was incorrect from my math.Thank you.Btw when i was trying to solve the problem I noticed that there was 2 miles left then i didn't know what to do.

Answers

Answer:

294

Step-by-step explanation:

divide 84 by 4 to get how many miles they travel per hour, then multiply by 14 hours

Answer:

294

Step-by-step explanation:

first you will multiply 84 by 14 and divide by 4

David begins the summer with a savings of $54.00 more than Fatima. David's job pays $8.25 per hour. Fatima's job pays $9.75. If they both work the same amount of time each day, how many hours of work will it take David to have as much money as Fatima? (write an inequality and then solve it)

Answers

Answer:

Inequality: 8.25x + 54 = 9.75

Step-by-step explanation:

Why?

It will take 36 hours for David to have as much as Fatima.

David :

Initial saving = 54

Pay per hour = $8.25

While Fatima :

Pay per hour = $9.75

Let number of hours worked = x

David's total = $8.25x + 54

Fatima's total = 9.75x

In other to have the same amount :

8.25x + 54 = 9.75x

The like terms :

8.25x - 9.75x = - 54

-1.5x = - 54

x = - 54 / - 1.5

x = 36

Therefore, it’ll take 36 hours for David to have as much as Fatima.

Answer:

36 hours

Step-by-step explanation:

stay great peepz!

-TinyDiamond

A car rental agency advertised renting a car for $ 26.95 per day and $ 0.28 per mile. if brad rents this car for 3 days, how many whole miles can he drive on a $ 250 ​budget?

Answers

Answer:222.38

Step-by-step explanation:26.95x0.28 x3

Answer:

604 miles

Step-by-step explanation:

he has to pay 80.85 for 3 days (26.95 x 3)

250 - 80.85 = 169.15 (money left)

169.15 ÷ 0.28 = 604 (with many decimals)

604 whole miles

N = d + h + z

7

for h

A. h = 7(N - d-z)

c. h = 7N â€" 4 â€"z

B. h = 7N + 7d + dz D. h = 7N + d + z

Answers

Answer:

I prefer A is the option that suits this question

solve 4x^3 + 10 when x = -3

Answers

Answer:

[tex]4 \times {( - 3)}^{3} + 10 = 4 \times ( - 27) + 10 = - 108 + 10 = - 98[/tex]

The correct answer would be -98

pls and ty loves!:))))))))))

Answers

Answer:

[tex]f = 9 \div 5c + 32[/tex]

[tex]f - 32 = 9 \div 5c[/tex]

[tex]5(f - 32) = 9c[/tex]

[tex]5(f - 32) \div 9= 9c \div 9[/tex]

Step-by-step explanation:

C = 5(F–32)/9

everything can be found in the solving hope this helps. if you have any worries or doubts don't hesitate to ask me back

Answer:C

Step-by-step explanation:

F=9/5 x C +32

F = -32 =9/5 x C

5/9 (F-32)+C

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