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[tex]\boxed{x = -17}[/tex]

✽ Simplify both sides of the equation.

[tex]\frac{x+2}{5}-\frac{x+1}{4}=1[/tex]

[tex]\frac{1}{5}x + \frac{2}{5} + \frac{-1}{4} = 1[/tex] (Distribute)

[tex](\frac{1}{5}x + \frac{-1}{4} ) + (\frac{2}{5} + \frac{-1}{4}) = 1[/tex] (Combine Like Terms)

[tex]\frac{-1}{20}x + \frac{3}{20} = 1[/tex]

✽ Subtract 3/20 from both sides.

[tex]\frac{-1}{20}x + \frac{3}{30} - \frac{3}{20} = 1 - \frac{3}{20}[/tex]

[tex]\frac{-1}{20}x = \frac{17}{20}[/tex]

✽ Multiply both sides by 20/(-1).

[tex]( \frac{20}{-1}) * (\frac{-1}{20}x) = (\frac{20}{-1}) * (\frac{17}{20})[/tex]

Hence, x = -17

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ May ♡

Answer: I'm not sure but i think is 21

Answer:

The answers are number 1, 3 and 4

Step-by-step explanation:

Answer:

d observation

Step-by-step explanation:

I took this test hopes this works!

Using limits, it is found that the correct statement is:

they give what y-values the function is AROUND the given x.

The limit of a function f(x) as a value of x = a is approached is given by:

[tex]y = \lim_{x \rightarrow a} f(x)[/tex]

The limit can be calculated at a point in which a function is not continuous, for example, in which we consider the lateral limits, which is not the exact value at x = a, but the value of the function as x approaches a by the left and by the right, hence the correct statement is:

they give what y-values the function is AROUND the given x.

More can be learned about limits at https://brainly.com/question/26270080

Answer:

106,81 inch ..............

Answer:

QR=6

Step-by-step explanation:

Divide 6 by 4 equal 1.5

So you need to divide 9 by 1.5 which is equal to 6

So RQ=6

Answer:

2 and 1/16th! ^^

Step-by-step explanation:

Answer:15/16

Step-by-step explanation:

1 1/4×3?4

= 5/4×3/4

= 5 × 3/4 × 4

= 15/16

Answer:

y= 16, 64, 256, 1024

y/x= 16/2, 64/3, 256/4, 1024/5,

Step-by-step explanation:

    This is just like any other equation, except instead of x being a number, it is an exponent. For example, when x equals 2, y equals 16 because y always equals four to the power of x.  This applies to all of the parts in your table. when x equals 3, y equals 4^3 (4 times 4 times 4) which is 64, and when x equals 4, y equals 4^4 (4 times 4 times 4 times 4), which is 256.

    For the y over x part that is just the value y, divided by the value x. For the first line on the table x equals 2, and we know y equals 16 (4^2 is 4 times 4, which is 16) so 16 divided by 2 is 8. That is the answer.

Hope this helps :)

Answer:

53

Step-by-step explanation:

Step-by-step explanation: This is a geometric progression, so apply the formula:

[tex]ar^{n-1}[/tex], where a = first term in the sequence

r = common ratio

n = position of term

So first find r, which is the common ratio, and after that just substitute the numbers into the equation. n is the only thing that changes.

Refer to the picture for solving

(brainiest please :) )

Answer:

6 14/15

Step-by-step explanation:

change to improper fraction

change to common denominator

solve parentheses

subtract

Answer:

(2m - 1)(3m - 5)

Answer:

x+y≤15

6x+9y≥95

Step-by-step explanation:

Let x be the hours worked for babysitting and let y be the hours worked for house cleaning.

As Suzie babysits for $6 per hour. She also works as a house cleaner for $9 per hour.

Total hours she can work= 15 hours per week.

Hence,

x + y is less than or equals to 15

But since she wants to make at least $95 per week. It implies that,

6x + 9y is greater than or equal to 95

So from the statements above, the equations will be:

x+y≤15

6x+9y≥95

Answer:

4, 9, 100, n^2

Step-by-step explanation:

Its very simple, all you have to do is find the number to the power of two because its a square.

Answer:

3ft to 1ft

Step-by-step explanation:

24/8=3 and 8/8=1

Answer:

c

Step-by-step explanation:

To find the maximum point, differentiate:

D' = -8p +160

Set to zero and solve for p:

D' = 0

⇒ -8p +160 = 0

⇒ 8p = 160

⇒ p = 20

Input p = 20 into the original equation to find D:

D = -4(20)² + 160(20) -310 = 1290

Therefore, the price is $20 and the maximum number of drills is 1,290

Answer:

C

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

100 on edge test

The equation represents the inequality will be y < −2x + 3.Option d is correct.

Linear inequalities involve at least one linear algebraic expression. A polynomial of degree 1 is compared to another algebraic expression of degree less than or equal to 1.

Different types of linear inequalities can be represented in a variety of ways.

The linear equation with slope m and intercept y is given as;

y=mx+c

The inequalities are as follows;

(a).  y > 2x +3

(b).  y < 2x+ 3

(c).  y > −2x+ 3

(d). y < −2x+ 3

Because the line meets the y-axis,(0,3)the y-intercept is 3.

The points are (0,3)and(1,1)

The line's slope may be calculated as follows.

[tex]\rm m= \frac{1-3}{1-0} \\\\ \rm m= -2[/tex]

On putting the given origin value;

[tex]y < -2x+3 \\\\0 < -2(0)+3\\\\0 < 3[/tex]

From all the data obtained we get the equation given in option d is correct.

Hence the equation that represents the inequality will be y < −2x + 3.Option d is correct.

To learn more about linear inequality refer to the link;

https://brainly.com/question/11897796

The equation represents the inequality will be y < −2x + 3.Option d is correct.

What is linear inequality?

Linear inequalities involve at least one linear algebraic expression. A polynomial of degree 1 is compared to another algebraic expression of degree less than or equal to 1.

Different types of linear inequalities can be represented in a variety of ways.

The linear equation with slope m and intercept y is given as;

y=mx+c

The inequalities are as follows;

(a).  y > 2x +3

(b).  y < 2x+ 3

(c).  y > −2x+ 3

(d). y < −2x+ 3

Because the line meets the y-axis,(0,3)the y-intercept is 3.

The points are (0,3)and(1,1)

The line's slope may be calculated as follows.

On putting the given origin value;

From all the data obtained we get the equation given in option d is correct.

Hence the equation that represents the inequality will be y < −2x + 3.Option d is correct.

To learn more about linear inequality refer to the link;

brainly.com/question/11897796

Answer:

the answer is 11.125

Step-by-step explanation:

Multiply the numbers

Evaluate the exponent

Divide the numbers

Multiply the numbers

Evaluate the exponent

Add the numbers

Solution: 89/8 or 11.125

HOPE THIS HELPS!!! :)

Step-by-step explanation:

remember the priorities :

first brackets

then exponents

then multiplications and divisions (from left to right)

then additions and subtractions (from left to right)

remember, a fraction is a division ...

10 + (2 × 3)² ÷ 4 × 1/2³ =

= 10 + 6² ÷ 4 × 1/2³ =

= 10 + 36 ÷ 4 × 1/8 =

= 10 + 9 × 1/8 =

= 10 + 9/8 =

= 10 9/8 = 11 1/8 = 89/8 = 11.125

Answer:

Step-by-step explanation:

To simplify, we multiply the like terms, which are the constant, and the s. For the constants of 1.5, and 3.5, we just do 1.5x3.5 to get 5.25, and when we multiply both s's together, we get [tex]s^2[/tex]. adding those 2 together, we get 5.25[tex]s^2[/tex]. so it would be the third one down.

please rate and mark as brainlest.

Answer:

C 5.25s2

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

[tex]\frac{1}{4}h=6[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}4[/tex]

[tex]4\cdot \frac{1}{4}h=6\cdot \:4[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]h=24[/tex]

Hence, h = 24

~Learn with Lenvy~

Answer:

24

Step-by-step explanation:

*Combine multiplied terms into a single fraction

1/4h=6 → 1h/4=6

*Multiply by 1

1h/4=6 → h/4=6

*Multiply all terms by the same value to eliminate fraction denominators

h/4=6

4×h/4=4×6

*Multiply the numbers

h=4×6

=24

Answer:

B

Step-by-step explanation:

every other value is above 25.99

Answer:

57+16 is the same as 60+13

Answer:

57+16 is the same as 60+13

Step-by-step explanation:

Answer: For the first scale, u would put a cube and 8 spheres. For the second, u would put the total which is 12 so 12 spheres.

Step-by-step explanation:

The trash collected by all the three teams is shown by the 8 spheres and a box on one side of the scale. Since the weight was 12 pounds, it can be shown as 12 spheres on the other side of the scale

Im pretty sure this is right, Enjoy!

Answer:

Thank you!

Step-by-step explanation:

Answer:

x = 26

y = 34

Step-by-step explanation:

Let the boxes stocked by Terri = x

Therefore the boxes stocked by Kay = x + 8 because he stocked 8 more boxes

Hence since they both stocked 60 boxes

x+x+8 = 60

2x = 60 - 8

2x = 52

divide both sides by 2

x = 26

Terri stocked 26 boxes and Kay stocked 26+8 boxes = 34 boxes

Answer:

2/35

Step-by-step explanation:

Let w and b be the numbers of white and black balls in the bag respectively.

So, the total numbers of the balls in the bag is

[tex]n=w+b\;\cdots(i)[/tex]

As the bag can hold maximum 15 balls only, so

[tex]n\leq15 \;\cdots(ii)[/tex]

Probability of picking two white balls one after other without replacement

=Probability of the first ball to be white and the probability of second ball to be white

=(Probability of picking first white balls) x( Probability of picking 2nd white ball)

Here, the probability of picking the first white ball [tex]=\frac{w}{n}[/tex]

After picking the first ball, the remaining

white ball in the bag [tex]= w-1[/tex]

and the remaining total balls in the bag [tex]=n-1[/tex]

So, the probability of picking the second white ball [tex]=\frac{w-1}{n-1}[/tex]

Given that, the probability of picking two white balls one after other without replacement is  14/33.

[tex]\Rightarrow \frac{w}{n} \times \frac{w-1}{n-1}=\frac{14}{33}[/tex]

[tex]\Rightarrow \frac{w(w-1)}{n(n-1)} =\frac{14}{33}[/tex]

Here, [tex]w[/tex] and [tex]n[/tex] are counting numbers (integers) and 14 and 33 are co-primes.

Let, [tex]\alpha[/tex] be the common factor of the numbers [tex]w(w-1)[/tex] (numerator) and [tex]n(n-1)[/tex] (denominator), so

[tex]\frac{w(w-1)}{n(n-1)} =\frac{14\alpha}{33\alpha}[/tex]

[tex]\Rightarrow w(w-1)=14\alpha\cdots(iii)[/tex]

And [tex]n(n-1)=33\alpha.[/tex]

As from eq. (ii), [tex]n\leq 15[/tex], so, the possible value of [tex]\alpha[/tex] for which multiplication od two consecutive positive integers (n and n-1) is [tex]33\alpha[/tex] is 4.

[tex]n(n-1)=11\times (3\alpha)[/tex]

[tex]\Rightarrow n(n-1)=12\times11[/tex] [as [tex]\alpha=4[/tex]]

[tex]\Rightarrow n=12[/tex]

So, the number of total balls =12

From equation (iv)

[tex]w(w-1)=7\times (2\alpha)[/tex]

[tex]\Rightarrow w(w-1)=8\times7[/tex]

[tex]\Rightarrow w=8[/tex]

So, the number of white balls =8

From equations (i), the number of black balls =12-8=4

In the similar way, the required probability of picking two black balls one after other in the same way (i.e without replacement) is

[tex]=\frac{b}{n} \times \frac{b-1}{n-1}[/tex]

[tex]= \frac{4}{15} \times \frac{4-1}{15-1}[/tex]

[tex]= \frac{4}{15} \times \frac{3}{14}[/tex]

[tex]= \frac{2}{35}[/tex]

probability of picking two black balls one after other without replacement is 2/35.

Answer:

15

Step-by-step explanation:

Percentages represent a proportion of a number. This means that a percentage represents part of a whole.

In this question, Captain Perguin ate 10% of 150 crackers. There are 2 ways to solve this problem explained below.

Multiplication

One way to find a percentage is through multiplication.

Shortcut

Multiplication is not the only way to find the answer. This question is special because it asks for 10%. Instead of multiplication, you could simply move the decimal point of the original number 1 digit to the left. This means that 10% of 150 must be 15. Remember this trick does not work for percentages other than 10%.