Evaluate 4(2a – b) when a = –1 and b = 5.


–48


–28


–12


32

Answers

Answer 1
4(2(-1)-5)
4(-2-5)
4(-7)
=-28 (B)
Answer 2

Hey There!

Question:-

[tex]\sf \longmapsto \: 4(2a - b)[/tex]

This is a algebraic expression. The values of a and b are given. The values are as follows :-

a = -1

And,

b = +5 .

Solution:-

[tex]\sf \longmapsto4(2a - b)[/tex]

Note that a is multiplied with 2 that is :-

[tex]\sf \longmapsto4(2 \times a \: - b)[/tex]

Now, Insert the values that is a = -1 and b = 5 :-

[tex]\sf \longmapsto4(2 \times - 1 - 5)[/tex]

Here,we need to follow BODMAS Rule.

B = Brackets

O = Orders

D = Division

M = Multiplication

A = Addition

S = Subtraction

We need to solve the bracket's calculations first as it is the rule.

So, Firstly Multiply (2 × -1) :-

[tex]\sf \longmapsto4( - 2 - 5)[/tex]

Note that, (-) × (-) equals to (+).

So, it will be 5+2,But as 5 is bigger number than 2, 5 contains a minus sign.So the result will be -7.

[tex]\sf \longmapsto4( 5+ 2)[/tex]

On Simplification:-

[tex]\sf \longmapsto4( - 7)[/tex]

[tex]\sf \longmapsto4 \times (- 7)[/tex]

[tex]\sf \longmapsto \: - 28[/tex]

______________________________________

Henceforth the solution of the algebraic expression is :-

[tex] \bf \:- 28[/tex]

Option B is correct!

______________________________________

I hope this helps!

Please let me know if you have any questions.

~MisterBrian


Related Questions

Hi can someone pls help me with this!!!

Answers

the domain is the x value (first number) and the range is the y value (second number)

(if a number appears more than once in the domain or range, like in number 1 you don't have to write it again.)

to graph the domain and range you just plot the points,

and to map them you have to put the x values in the first oval and the y values in the second, usually in order from smallest to largest.

then you have to draw arrows connecting each x value to the y value that was in the same pair. just like when writing down the domain/range, if a number comes up again you don't have to write it down again. instead, you might have two or more arrows connecting to the same  number.

what is the correct answer to: 0.9 x (8.2 x 20.35)

Answers

Answer:

150.183

Step-by-step explanation:

0.9 x (8.2 x 20.35) =

0.9 x (166.87) =

150.183

X - 98 + X divided by 2 when x is 300?
will give brainliest

Answers

Answer:

441

Step-by-step explanation:

Where you see X, substitute with 300

300-98 + 300÷2

291 + 150

= 441

Answer:

352

Step-by-step explanation:

important info:

x = 300

Solution/Explanation:

300-98+300 ÷ 2=

202+150=

352

Hence, the Answer is 352.

Which of the following is equivalent to 16/3​

Answers

Answer:

C

Step-by-step explanation:

6÷3=2

9÷3=3

combined that is 15/3

so the extra 1 goes back into the fraction

giving us 5 1/3

The price of an item has been reduced by 45%. The original price was $43. What is the price of the item now?

Thank you!

Answers

the price now is $23.65, because 43x.45 = 19.35 so 43-19.35= 23.65

Answer:

23.65

Step-by-step explanation:

Plzzzzz help meeeee plzzzz I really d answa

Answers

Answer:

c. is correct answer I think

PLEASE HELP. WILL MAKE BRAINLIEST!!!!
1 cup of water with 1 1/2 teaspoons of powdered drink mix
2 cups of water with 1/2 teaspoon of powdered drink mix
1 cup of water with 1/4 teaspoon of powdered drink mix

Which of these recipes is for the stronger tasting mixture. Explain how you know.

Answers

Answer: 1 cup of water with 1 1/2 teaspoons of powdered drink.

Step-by-step explanation:

I know this, because if 1 cup is 1 1/2 teaspoons of powdered drink, then 2 cups of water would have 3 teaspoons of powdered drink mix, so the second option is out. And, the third option is out because it less than 1 cup of water with 1 1/2 teaspoons of powered drink mix.

Can someone please help me with this easy math problem?

Answers

Answer: 644.4 sq cm

Step-by-step explanation:

First transform the 8.5 and 11.75 into centimeters as that is what you are trying to find do this by multiplying each sum by 2.54

A.)8.5*2.54=21.59 centimeters

B.)11.75*2.54=29.845

C.)Now to find the Area we multiply the two

21.59*29.845=644.35355

Which we an round do 644.4

Mary is 19 years younger than Jordan. Sarah is 49. Leo is 11 years younger than Sarah and 3 years
younger than Jordan. How old is Mary?

Answers

Answer:

22 years old

Step-by-step explanation:

Sarah - 49 years old

Leo - 38 years old

Mary - 22 years old

Jordan - 41 years old

 I think I'm right

I just need answers 7-13

You can do them all if you'd like

Answers

Answer:

7. DF

8. BC

9. E

10. C

11. ES

12. JK=RS

13. EF=UV

Step-by-step explanation:

Use proper notation for segments, angles and congruency, limited what symbols we can use here.

PLEASE HELP ME I WILL GIVE A BRAINLIST

Answers

First, we can get rid of d(x) simply by looking at it because we can tell it's linear (it's a straight line). If we look at the table, we can see a(x) is also linear because it has a steady rate of growth. b(x) and c(x) both represent exponential growth. The curved shape of b(x) shows us this is exponential growth, and the exponent in c(x) tells us it's also exponential.

Hope this helps!

Answer: b(x) and c(x)

Step-by-step explanation:

Julio says, "If you subtract 17 from my number and multiply the difference by - 3, the result is
- 39." What is Julio's number?

Julio's number is?

Answers

Answer:

30

Step-by-step explanation:

first, create two equations.

let x = Julio's number and y = answer for Julio's number substrates 17

[tex]x - 17 = y \\ y ( - 3) = - 39 \\ [/tex]

by using substitution method, you will get

[tex]x = 30 \\ y = 13[/tex]

so the answer is 30

which problem can be solved with the equation 1.75 +(-1.75)=0

Answers

x+y=0

Step-by-step explanation:

x= 1.75

y= -1.75

over what interval function is this graph constant​​

Answers

D is your answer. You are trying to find the part of the graph that or constant or straight (parallel with the x-axis).

Help, this question is confusing me

Answers

Answer: They are all equations except c, which is a formula.

Step-by-step explanation:

ASAP
answer this please


as percentages

Answers

Answer:

Step-by-step explanation:

5/6= 83.33%

9/11= 81.81%

1 3/7= 142.85%

Answer:

(x) 83.(3)%

(xi) 81.(81)%

(xii) 142.(857142)%

Step-by-step explanation:

The thing to do is perform the division and write it as percentages.

Please note that all 3 of those are infinite fractions, so

83.(3) means 83.33333333333333333...

81.(81) means 81.8181818181818181...

142.(857142) means 142.857142857142857142857142857142...

If you wanted to round to nearest % or something, you can do that.

Eg. rounding to 2 places after the period:

83.(3)% ~= 83.33%

81.(81)% ~= 81.82%

142.(857142)% ~= 142.86%

9. How many 6 inch strands of string
can be cut from a length of string
that is 8 yards long?

Answers

There are 36 inches in a yard. Multiply 36x8 to get 288. Divide this by 6 for each segment of string which would equal 48 strands.

In the first week of​ July, a record people went to the local swimming pool. In the second​ week, fewer people went to the pool than in the first week. In the third​ week, more people went to the pool than in the second week. In the fourth​ week, fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four​ weeks?

Answers

Answer:

10%

Step-by-step explanation:

there is a proportional relationship between x and y. complete the table with the missing values

Answers

Answer:

I think you forgot to attach the table

What is the Answer to this

Answers

Answer:    18.8

========================================================

Explanation:

For now, let's focus on triangle AFG.

This is a right triangle with the following sides:

FA = unknown horizontal leg = xFG = vertical leg = 6.1AG = hypotenuse = 11.2

We'll use the pythagorean theorem to solve for x.

a^2 + b^2 = c^2

(FA)^2 + (FG)^2 = (AG)^2

x^2 + (6.1)^2 = (11.2)^2

x^2 + 37.21 = 125.44

x^2 = 125.44 - 37.21

x^2 = 88.23

x = sqrt(88.23)

x = 9.39308 approximately

Side FA is roughly 9.39308 units long.

-----------

Let's say for a moment we don't know where point G is located, but we do know where points A, C, and E are located. We can determine G's location by determining the perpendicular bisectors for segments AE and EC, and then intersecting said perpendicular bisectors.

Put another way:

FG is a perpendicular bisector for AEDG is a perpendicular bisector for EC

Because of the first bullet point, we know that AE is split into two equal pieces FA and FE, ie FA = FE.

We just found that FA = 9.39308 back in the last section, which means this is the length of FE as well.

Therefore,

AE = FA + FE

AE = 9.39308 + 9.39308

AE = 18.78616

AE = 18.8 when rounding to the nearest tenth, aka one decimal place.

Answer:

18.79

Step-by-step explanation:

→ Use Pythagoras theorem

√11.2² - 6.1²

→ Simplify

9.39

→ Now double the answer

18.79

[tex]\sf \sqrt{12} \times \sqrt{12}[/tex]

Answers

Answer:

[tex]12[/tex]

Step-by-step explanation:

[tex]\sqrt{12} \times\sqrt{12}[/tex]

[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{a}=a,\:\quad \:a\ge 0[/tex]

[tex]\sqrt{12}\sqrt{12}=12[/tex]

[tex]=12[/tex]

The value of [tex]\sqrt{12} * \sqrt{12}[/tex] is equal to 12

To solve this problem, we have to convert the surds to radicals and then use the law of indices on this.

[tex]\sqrt{12} * \sqrt{12}= 12^\frac{1}{2} * 12^\frac{1}{2}[/tex]

Addition Law of Indices

This law is given as

[tex]a^m+a^n = a^(^m^+^n^)[/tex]

let's substitute the values in this question.

[tex]12^\frac{1}{2}*12^\frac{1}{2}[/tex]

Let's apply the law and solve the radical

[tex]12^\frac{1}{2}*12^\frac{1}{2} = 12^(^\frac{1}{2}^+^\frac{1}{2}^)\\[/tex]

Solve the fractions

[tex]\frac{1}{2}+\frac{1}{2}=1[/tex]

substitute the values and solve

[tex]12^\frac{1}{1}=12[/tex]

from the calculations above, the value of the radical is 12.

Learn more on laws of indices here;

https://brainly.com/question/10339517

phythagorean theorum please help

Answers

Answer:

14

Step-by-step explanation:

so the hypotenuse for both triangles is 19.use Pythagoras theorem to get the base of both triangles as 8.5cm each.add the two bases and get 17.minus 17 from 31 to get 14cm as the remaining part

Ok done. Thank to me :>

Find the range and domain of the following set:

{(-5, -5), (-3, 4), (0, 1), (2, 5)}

Question options:

{(-5, -5), (-3, 4), (0, 1), (2, 5)}


{-5, 1, 4, 5}


{-5, -3, 0, 2}


{-5, 5}

Answers

Answer:

range: {-5, 1, 4, 5}domain: {-5, -3, 0, 2}

Step-by-step explanation:

The range is the set of second numbers of the ordered pairs.

  {-5, 1, 4, 5}

__

The domain is the set of first numbers of the ordered pairs.

  {-5, -3, 0, 2}

__

Additional comment

It is generally convenient to write the elements of a set in sorted order.

Please help meee urgent

Answers

Step-by-step explanation:1

Answer:

6

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 3, 4 ]

f(b) = f(4) = 9 ← value of f(x) when x = 4 , from table

f(a) = f(3) = 3 ← value of f(x) when x = 3 , from table

average rate of change = [tex]\frac{9-3}{4-3}[/tex] = [tex]\frac{6}{1}[/tex] = 6

is this a dilation of 1/2 or a dilation of 2​

Answers

Answer:

The dilation is 2 because triangle K'L'P' is 2x bigger than triangle KLP

Dilation of 2 because point P is 4 on the original and on the prime it’s 8. 4 x 2= 8

NO LINKS!
Part A: Find the LCM of 5 and 12. Show your work. (3 points)

Part B: Find the GCF of 72 and 81. Show your work. (3 points)

Part C: Using the GCF you found in Part B, rewrite 72 + 81 as two factors. One factor is the GCF and the other is the sum of two numbers that do not have a common factor. Show your work. (4 points)

Answers

Answer:

Part A: 60

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60.

12, 24, 36, 48, 60.

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

Part B: 9

81 / 72 = 9

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

Part C: 9 (8 + 9)

GCF of 72 and 81 is 9...

Divide 72 by 9 and get 8.

Divide 81 by 9 and get 9.

To check multiply 9 with 8, and multiply 9 by 9.

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

Easy! :D (if you don't mind, may I get brainliest please?)

The instructions for a fruit drink say to mix one part blackcurrant juice with four parts water. I
want to make one litre of this fruit drink. How much blackcurrant juice should I use? Give your
answer in millilitres.
ml

Answers

Answer:

you should use minimum 8 black cur

Help me please please

Answers

Answer:

a.11

b.20

c.44

d.5

e.60

f.12

g.4

h.40

i.900

j.6

Step-by-step explanation:

hope this helps

Write an equation of the line passing through point A(6,-1) that is perpendicular to line y= -2x + 8. what does Y equal? Y=?

Answers

Answer:

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

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x + 8 ← is in slope- intercept form

with slope m = - 2

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex] , then

y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute (6, - 1 ) into the partial equation

- 1 = 3 + c ⇒ c = - 1 - 3 = - 4

y = [tex]\frac{1}{2}[/tex] x - 4 ← equation of perpendicular line

[tex]x(x^{2} +2x +4) -( x^{2} +2x + 4) . 2=0[/tex]

Answers

We have:

[tex]x(x^{2} +2x+4) - (x^{2} +2x+4).2 =0\\<=>(x^{2} +2x+4)(x-2)=0\\<=>x^3-8=0 \\<=>x^3=8\\<=>x^3=2^3\\<=>x=2[/tex]

ok done. Thank to me :>

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