Solve the equation 5(w - 12) - 24 = 3(w + 2)

Answer:

B

Step-by-step explanation:

x(2x + 3)

Expand the brackets.

x(2x)+x(3)

Multiply the terms.

2x² + 3x

The answer is 2x² + 3x.

Answer:

I believe it is B. 2x2 + 3x

Step-by-step explanation:

Because x will go into 2x like 2x^2 and if you multiply x * 3 which it would equal 3x. That's the best I can explain it.

Hope my answer has helped you and if not I am sorry.

Answer: its 3

Step-by-step explanation:

Answer:   2

Step-by-step explanation: Because their are 2 squares

Answer:

210

Step-by-step explanation:

so the four Smallest Primes :

2, 3, 5, 7

When the number is Divided by 2, 3, 5 & 7 Leaves remainder 1

so N = 2a + 1

N = 3b + 1

N = 5c + 1

N = 7d + 1

-> N -  1 =  2a  = 3b = 5c  = 7d

N -  1  =  2 * 3 *  5 * 7

-> N -  1 = 210

-> N = 211

Next  N - 1  =  2(210)

-> N - 1 = 420

-> N =421

Difference  = 421 - 211  =  210

Answer:

The standard method for solving an equation like 3x + 5 = 26 is to use the Subtraction Property of Equality and then the Division Property of Equality.

Step-by-step explanation:

To solve, you subtract both sides by 5 first. Then you divide both sides by 3 to isolate the x.

Answer:

(-9/2 , -10)

Step-by-step explanation:

2x-3y=21

-6x+2y=7

Multiply the first equation by 3

3(2x-3y)=21*3

6x - 9y = 63

Add this to the second equation to eliminate x

6x - 9y = 63

-6x+2y=7

------------------

0x -7y = 70

Divide by -7

-7y/-7 = 70/-7

y = -10

Now find x

2x- 3y = 21

2x -3(-10) = 21

2x +30 =21

subtract 30 from each side

2x = 21-30

2x= -9

Divide by 2

x = -9/2

(-9/2 , -10)

Now lets solve it by elemination method !

[tex]:\implies\sf 2x-3y=21--------(1)\\ \\ \\ :\implies\sf -6x+2y=7-------(2)\\ \\ \\ \sf Eleminate\ (x) \\ \\ \\ \it Multiply\ first \ equation \ with \ 3\ \ \ and \ 2nd \ \ with \ 1 \\ \\ \\ :\implies\sf (2x-3y=21)\times 3 \\ \\ \\ :\implies\sf (-6x+2y=7)\times 1\\ \\ \\ :\implies\sf 6x-9y=63------(3) \\ \\ \\ :\implies\sf -6x+2y=7-----(4)\\ \\ \\ \it\ \ Add \ equation\ 3\ \ and \ 4\\ \\ \\ :\implies\sf 6x-9y=63+ (-6x+2y= 7)\\ \\ \\ :\implies\sf (6x-6x)+(-9y+2y) = 63+7\\ \\ \\ :\implies\sf 0-7y=70\\ \\ \\ :\implies\sf y= \cancel{\dfrac{70}{-7}}= - 10\\ \\ \\ :\implies\sf y= -10 [/tex]

★ Now find the value of x

let's substitute the value of y in equation 4

[tex]:\implies\sf -6x+2y=7\ \ \ \ \ \ (y= -10)\\ \\ \\ :\implies\sf -6x+2\times (-10)=7\\ \\ \\ :\implies\sf -6x-20= 7\\ \\ \\ :\implies\sf -6x = 7+20 \\ \\ \\ :\implies\sf x= \cancel{\dfrac{27}{-6}}= \dfrac{-9}{2}[/tex]

[tex]\underline{\textit{ \ \ So, \ the \ value \ of \ x\ and \ y }}[/tex]

[tex]\bigstar{\boxed{\sf x= \dfrac{-9}{2}}}[/tex]

[tex]\bigstar{\boxed{\sf\ y= (-10)}}[/tex]

Answer:

√ 8 / x^6

= 2√2 / x³

That's option D

Hope this helps

Answer:

4th option

Step-by-step explanation:

The √8 is √4 time √2, and √4 is a perfect square equaling 2. So we have,

[tex]\frac{2\sqrt{2} }{\sqrt{x^6} }[/tex]

The [tex]\sqrt{x^6}[/tex] is x³.

[tex]\frac{2\sqrt{2} }{x^3}[/tex]

So we have our final answer!

Answer:

Step-by-step explanation:Jo's Mobile Plan:

Fixed monthly charge = £16

Monthly 150 free minutes, post that 13p (or £0.13) per minute,

Monthly 150 free texts, post that 15p (or £0.15) per text

Jo's mobile phone usage details:

170 minutes of calls

182 texts

Total Charges for Jo = Fixed Monthly Charge + Charges for Calls + Charges for Texts

⇒ Total Charges for Jo = 16 + (170-150) × 0.13 + (182-150) × 0.15

⇒ Total Charges for Jo = 16 + (20) × 0.13 + (32) × 0.15

⇒ Total Charges for Jo = 16 + 2.6 + 4.8

⇒ Total Charges for Jo = 23.4

Hence, Jo should be charged £23.4 for the month.

Answer:

1) Length  22 and 26 have the same amount of desks that have the same length

2) Lengths 21, 23, 25, and 27 have the equal amount of tables

Step-by-step explanation:

3) There are 12 desks in total  

Explanation of Sentence 1 is that lengths 22 and 26 both have 3 tables that are its length

Explaination of Setence 2 is that lengths 21, 23, 25, and 27 all have 1 desk that is its length

Explaination of sentence 3 is that there are 12 desks that are measured.

If this helped please mark me brainliest :)  

10 L of a 25% acid solution contains 0.25 * (10 L) = 2.5 L of acid.

Adding x L of pure water dilutes the solution to a concentration of 10%, such that

(2.5 L)/(10 L + x L) = 0.10

Solve for x :

2.5 = 0.10 * (10 + x)

2.5 = 1 + 0.10x

1.5 = 0.10x

15 = x

so 15 L of pure water are needed.

Answer:

D. 35

Step-by-step explanation:

I set up a proportion to solve for x. I divided 14 by 8 to find the ratio. After finding that ratio to be 7/4, I multiplied 7/4 to 20 to get 35 as the answer.

the answer is d. 35        

Answer:

A:

(4x+5)(3x+10)=

(12x^2) + (40x) + (15x) + (50)

12x^2 + 55x + 50

B: 2nd degree trinomial.

C:  it is demonstrated in part A because when we added it, the variable do not change and neither do the  exponents.  

Step-by-step explanation:

do not copy. used this on my test.

Answer:

D =275 miles

Step-by-step explanation:

The rate is 55 miles per hour and the time is 5 hours

D = RT

D = 55*5

D =275 miles

Answer:

C. 275 miles

Step-by-step explanation:

D = RT

We have R and T already, so

Step 1: Replace variables

D = (55mph)(5 hours)

Step 2: Solve

D = 275 miles

And we have our answer!

Answer:

9/16

Step-by-step explanation:

3/4 * 6/8

Simplify the fractions by dividing the top and bottom of the second by 2

3/4 * 3/4

Multiply the numerators

3*3 = 9

Multiply the denominators

4*4 = 16

Numerator over denominator

9/16

Answer: I'm guessing it's acute

Step-by-step explanation:

Since all the angles are less that 90 degrees, it can't be right or obtuse. I'm gonna say acute

The probability distribution is given below:

[tex]\left|\begin{array}{c|ccccc}Outcome& 0& 1& 5& 10& 1000\\Probability& 0.33& 0.32& 0.24& 0.10& 0.01\end{array}\right|[/tex]

Answer:

C. 12.52

Step-by-step explanation:

Given the probability distribution below:

[tex]\left|\begin{array}{c|ccccc}Outcome& 0& 1& 5& 10& 1000\\Probability& 0.33& 0.32& 0.24& 0.10& 0.01\end{array}\right|[/tex]

Expected Value of the random variable

=(0 X 0.33)+(1 X 0.32) +(5 X 0.24) +(10 X 0.10) + (1000 X 0.01)

=0+ 0.32+1.2+1+10

=12.52

The correct option is C.

Answer:

D

Step-by-step explanation:

Answer:

a) The common ratio of the progression is multiplying by 5.. therefor the answer is 5

b) The next number in the sequence is 1250

Step-by-step explanation:

Hope this helps :)

Answer:

614

Step-by-step explanation:

Let the number be x.

50% × x = 307

0.5x = 307

x = 307/0.5

x = 614

50% of 614 is 307.

Answer:

614

Step-by-step explanation:

50% means half. So,

x ÷ 2 = 307

x = 307 × 2

x = 614

Have a blessed day!

Answer:

[tex](1-cos^2 x ).(1+tan^2 x) = tan^2x[/tex]

Step-by-step explanation:

Given

[tex](1-cos^2 x ).(1+tan^2 x)[/tex]

Required

Solve

[tex](1-cos^2 x ).(1+tan^2 x)[/tex]

In trigonometry;

[tex]1 - cos^2x = sin^2x[/tex]

So, make substitution

[tex](1-cos^2 x ).(1+tan^2 x)[/tex] becomes

[tex](1-cos^2 x ).(1+tan^2 x) = (sin^2 x ).(1+tan^2 x)[/tex]

Also; in trigonometry:

[tex]1 + tan^2x = sec^2x[/tex]

Make another substitution

[tex](1-cos^2 x ).(1+tan^2 x) = (sin^2 x ).(sec^2 x)[/tex]

Recall that [tex]secx = \frac{1}{cosx}[/tex]

So;

[tex](1-cos^2 x ).(1+tan^2 x) = (sin^2 x ).(sec^2 x)[/tex] becomes

[tex](1-cos^2 x ).(1+tan^2 x) = (sin^2 x ).(\frac{1}{cos^2 x})[/tex]

[tex](1-cos^2 x ).(1+tan^2 x) = \frac{sin^2 x }{cos^2 x}[/tex]

[tex](1-cos^2 x ).(1+tan^2 x) = (\frac{sin x }{cosx})^2[/tex]

In trigonometry;

[tex]tan x = \frac{sin x}{cos x}[/tex]

[tex](1-cos^2 x ).(1+tan^2 x) = tan^2x[/tex]

The expression cannot be further simplified

Answer:

10 meters

Step-by-step explanation:because they are square and they would have to be 5 meters long and she dose not want any left over so...

Answer:

average speed of sprinter will be 10.42m/s

Step-by-step explanation:

distance covered=s=100m

time taken=t=9.67m/s

average speed=[tex]\frac{distance covered}{time taken}[/tex]

average speed=[tex]\frac{100m}{9.67s}[/tex]

average speed=10.42m/s

Answer:

Answer:

3 < c < 13

Step-by-step explanation:

A triangle is known to have 3 sides: Side a, Side b and Side c.

For a triangle, one of the three sides is longer than the other two sides. (The only exception is when we are told specifically that a triangle is an equilateral triangle, where all the 3 sides are equal to each other).

To solve the above question, we would be using the Triangle Inequality Theorem.

The Triangle Inequality Theorem states that the summation or addition of the lengths of any two sides of a triangle is greater than the length of the third side.

Side a + Side b > Side c

Side a + Side c > Side b

Side b + Side c > Side a

For the above question, we have 2 possible side lengths for the third side of the triangle. We are given in the above question,

side (a) = 5

side (b) = 8

Let's represent the third side as c

To solve for the above question,we would be having the following Inequality.

= b - a < c < b + a

= 8 - 5 < c < 8 + 5

= 3 < c < 13

Answer:

x-intercept is equal to 2 (Option 3)

Step-by-step explanation:

Slope = m = -3/2

y-intercept = b =  3

Putting in the slope-intercept form

=> y = [tex]\frac{-3}{2} x+3[/tex]

For finding x- intercept, y must be equal to 0

=> 0 = (-3/2)x+3

=> -3/2 x = -3

=> 3/2 x = 3

=> 3x = 6

Dividing both sides by 3

=> x = 2

Answer:

the third option 2

Step-by-step explanation:

Answer:

3f(x)  

3x^2  

12  

-x+6

0

Step-by-step explanation:

Fashoo

Answer:

x=-3 y=19/7 z=7

Step-by-step explanation:

Answer:

132 dollars, I think

Step-by-step explanation:

15*2=30

66*2=132

Answer:

D

Step-by-step explanation:since 15 cases is $66 multiply 66 by 2 to get $132

Answer: B $2.22

Step-by-step explanation:

2 controllers will cost

= 2 x 18.50 = 37

6% tax = 37 x 0.06 = 2.22

Answer:

B

Step-by-step explanation:

i took the test

Answer:

See below

Step-by-step explanation:

You have to find the number in the middle of all of the heights and multiply them by the all of the frequency. When you have those answers, add them together and divide the answer by 40. That is why, our answer in part (a) is an estimate.

The mean is the average value of an observation, the mean of the grouped data is 129.3 cm

The mean value can be calculated using the relation :

ΣF = (7 + 8 + 13 + 9 + 3) = 40

Σfx = (7 × 122) + (8 × 126) + (13 × 130) + (9 × 134) + (3 × 138) = 5172

Mean = ΣFx /ΣF

Mean = 5172 / 40 = 129.3 cm

B.)

The mean value obtained is an estimate because, calculation used the midpoint value existing within a certain range, and not the exact height value of individual student.

Learn more :https://brainly.com/question/17007926

Answer:

the correct answer is 47

Answer:

The value of x is 66°

Hope it helps!

Step-by-step explanation:

The sum of exterior angles of a polygon is always 360°

So since the angles are given

40+45+77+2x+x = 360

(40+45+77)+(2x+x)= 360

162 + 3x = 360

3x = 360-162

= 198

x= 198/3

= 66°

Answer:

C, D and E

Step-by-step explanation:

From the congruence postulate, CPCTC(Corresponding parts of congruent triangles are congruent) The following are congruent and corresponding:

=> AC = DF

=> <A = <D

=> BC = EF

Answer: If you have different answers the answers are

C=F and AB=DE

Step-by-step explanation: