Expand the following: 4(a + 3b - 5c).
Please help, I'm really struggling with expanding equations

Answers

Answer 1

Answer:

4a+12b-20c

Step-by-step explanation:

Use the distributive property, multiply the number on the outside to everythign on the inside.

4*a=4a

4*3b=12b

-5c*4=-20c

Answer 2
Answer;

Explanation:

4(a + 3b - 5c)
= (4 x a) + (4 x 3b) - (4 x 5c)
= 4a + 12b - 20c

Related Questions

Find the missing side of the triangle

Answers

Answer:

x = 2[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Pytago:

[tex]2^2 + 4^2 = x^2\\x = \sqrt{2^2 + 4^2} \\x = 2\sqrt{5}[/tex]

Answer:

4.47

Step-by-step explanation:

x²= 2² + 4²

x² = 4 + 16

x²= 20

x = √20

x= 4.47

1. On the set of axes below, graph . State the roots of

Answers

Is this question complete?

what is 7.65% of $509.25

Answers

Answer:

38.957625 US$

Step-by-step explanation:

38.957625 US$

Answer:

38.96

Step-by-step explanation:

Change from percent to decimal form

.0765 * 509.25

38.957625

Rounding to the nearest cent

38.96

Determine whether the following relationship is a linear inequality or not

1. Y < 3

2. x ≥ 6

3. x² > -3

4. x -3 > 1/2

5. xy + 5 ≤ 7​

Answers

Answer:

What is a linear inequality ? A linear inequality has the same condition as a linear equality, but instead of the equal sign, we have for example this one ≤ wish means less than or equal to.

But what are the condition of a linear equality ? There are many ways of writing linear equations but they usually have constants (like "2" or "c") and must have simple variables (like "x" or "y") BUT the variables (x and y) on a linear equation do NOT have Exponents (like the 2 in x²) and square roots,

1. y < 3

Yes, this is a linear inequation. Frequently, the term linear equation refers implicitly to the case of just one variable (here y).

2. x ≥ 6

Yes.

3. x² > - 3

No, remember the rule the variable (here x) must not have exponents.

4. x - 3 > 1/2

Yes.

5. xy + 5 ≤ 7

This one is nice. If both x and y are variables then the answer is no, it's not a linear inequation. Why ?The linear equation is a sum of terms like "Ax" where x is a variable, and A is a number or a constant. On the other hand if x or y was a constant (like e or π), it could be treated as a number and the whole expression would become linear.

You can also have fun and write :

xy ≤ 2

for y > 0 we write:

x ≤ 2/y

x ≤ 2[tex]y^{-1}[/tex]

and then simply say exponents are not allowed so not a linear inequation.

What is the size of each piece in square units?
What is the area of the shaded rectangle in square units?
Answer Asapp plezz

Answers

Answer:

8 pieces are shaded

Size of one square is (1/3)*(1/5)=1/15

The area of shaded region is basically (2/3)*(4/5)=8/15

The Size of one square is 1/15. The area of the shaded region rectangle is 8/15.

What is the area of the rectangle?

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

From the given figure we can see that 8 pieces of the square makes a shaded region.

The area of a square = side x side

[tex]= \dfrac{1}{3}\times\dfrac{1}{5}\\\\=\dfrac{1}{15}[/tex]

Therefore, the Size of one square is 1/15.

The area of the shaded region rectangle = length × Width

[tex]= \dfrac{2}{3}\times\dfrac{4}{5}\\\\=\dfrac{8}{15}[/tex]

Learn more about the area;

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Express 5 cm in metre and kilometre.in decimals........................ ncert maths class 7 pls
will be marked as brainliest trust me ​

Answers

Answer:

Converting into metre (1m=100cm)= 5/100=0.05m.. Converting into km. (1km=100000cm). so 5 cm=5/100000=0.00005km.

Answer:

5cm in meters = 0.05 metre

5cm in kilometres = 0.00005km

Write the point-slope form of an equation of the line through the points (-4, 7) and (5,-3).
0
A. Y+4= -1; (1 – 7)
B.Y-5 = = 10 (x+3)
OC. y +3 = = 10 (2+5)
D. y - 7= -5° (x+4)

Answers

Answer:

Step-by-step explanation:

There are two possible equations, but neither matches the the choices you listed. The choices seem to have several typographical errors.

Point-slope form of an equation of the line through the points (-4, 7) and (5,-3) is y - 7 =(-10/9)(x + 4).

How to estimate the point-slope form of an equation of the line through the points (-4, 7) and (5,-3)?

Slope

[tex]$= \frac{y_{2} -y_{1}}{x_{2} -x_{1}}[/tex]

= (-3 - 7) / (5 - (-4))

= -10/9

The point-slope equation for the line of slope -(10/9) that passes through the point (5, -3).

y + 3 = (-10/9)(x - 5)

Point slope equation for the line of slope -(10/9) that passes through the point (-4, 7)

Point-slope form of an equation of the line through the points (-4, 7) and (5,-3) is y - 7 = (-10/9)(x + 4).

Therefore, the correct answer is y - 7 = (-10/9)(x + 4).

To learn more about the equation of a line refer to:

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2. What amount of money must Kurt Blixen invest at 4.75% to have it earn $10,000 in 90 days?

Answers

Kurt Blixen must invest $85,2296.94.

Given the following data;

Interest rate = 4.75%Simple interest = $10,000Time = 90 days

To find how much money Kurt Blixen must invest;

Mathematically, simple interest is given by the formula;

[tex]S.I = \frac{PRT}{100}[/tex]

Where:

S.I is the simple interest.P is the principal amount.R is the interest rate.T is the time measured in years.

First of all, we would convert the time in days to years.

Conversion:

365 days = 1 year

90 days = x year

Cross-multiplying, we have;

[tex]365 * x = 90\\\\x = \frac{90}{365}[/tex]

x = 0.247 year

Making P the subject of formula;

[tex]P = \frac{S.I(100)}{RT}[/tex]

Substituting the values into the formula, we have;

[tex]P = \frac{10000(100)}{4.75*0.247}\\\\P = \frac{1000000}{1.1733}[/tex]

P = $85,2296.94

Therefore, Kurt Blixen must invest $85,2296.94.

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if 10x=1/0.001 find the value of x​

Answers

[tex]\\ \sf\longmapsto 10x=\dfrac{1}{0.001}[/tex]

Turn over the decimal

[tex]\\ \sf\longmapsto 10x=\dfrac{1}{\dfrac{1}{1000}}[/tex]

[tex]\\ \sf\longmapsto 10x=1000[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{1000}{10}[/tex]

[tex]\\ \sf\longmapsto x=100[/tex]

plzzzzzzzz helllllllppppppppp

Answers

Answer:

C

Step-by-step explanation:

He want's the bookshelf to be 1.5 feet taller than 1/4 of the height of his plant

If his plant's height is p, 1/4 of it's height would be 1/4p

As he wants the bookshelf to be 1.5 feet taller than this, the height should be

1.5 + 1/4p, which can also be written as p/4 + 1/5

Answered by g a u t h m a t h

Answer:

1/4p +1.5

Step-by-step explanation:

p = plant stand

The bookshelf is 1/4 the height of the plant stand plus 1.5 ft

1/4p +1.5

[tex]\sqrt{25}[/tex]=?

Answers

[tex]Hello[/tex] [tex]There[/tex]

The answer is...

[tex]5.[/tex]

[tex]HopeThisHelps!![/tex]

[tex]AnimeVines[/tex]

Hi the answer is 5 to this problem
Hope it helps.

THE DISTANCE OF A PARTICLE FROM
IT'S STARTING POINT AT TIME T
SECONDS IS GIVEN BY S= 80T - 1672.

WHAT IS THE VELOCITY OF THE
PARTICLE AFTER 2 SECONDS?

Answers

Answer:

the answer will be 3.........

Mary spent $4 more than 1/8 of her original amount of money on a bag. She then
Spent $12 more than 2/3 of her remaining money on groceries.Given that Mary had $24 left,how much did the bag cost?

Answers

Answer:

464 $

Step-by-step explanation:

Solve this inequality:
-9 > 3b + 6

Answers

Answer:

- 5 > b

Step-by-step explanation:

- 9 > 3b + 6

- 9 - 6 > 3b

- 15 > 3b

Divide 3 on both sides,

- 5 > b

Answer:

-5 >b

Step-by-step explanation:

-9 > 3b + 6

Subtract 6 from each side

-9-6 > 3b + 6-6

-15 > 3b

Divide each side by 3

-15/3 > 3b/3

-5 >b

1106.666667 To the nearest whole number

Answers

Answer:

1107.

You are rounding up because the number in the tenths slot is over 5.

Functions f and g are defined for all real
numbers. The function f has zeros at -2, 3, and 7:
and the function g has zeros at -3, -1, 4, and 7.
How many distinct zeros does the product
function f g have?

Answers

9514 1404 393

Answer:

  6

Step-by-step explanation:

The number of distinct zeros in the product will be the union of the sets of zeros. Duplicated values are not distinct, so show in the union of sets only once.

  F = {-2, 3, 7}

  G = {-3, -1, 4, 7}

  F∪G = {-3, -2, -1, 3, 4, 7} . . . . . . a 6-element set

The product has 6 distinct zeros.

_____

As you may notice in the graph, the duplicated zero has a multiplicity of 2 in the product.

Find the fractal dimension of the object.

Answers

Answer:

maaqqqf aku ngak tau soal jawaban in

Suppose a professional baseball player hit 55 home runs his first season, 58 his second,
and 69 his third. How many home runs would he need to hit in the current season so that
his average for the 4 years is no less than 59?

Answers

Answer:

About 54

Step-by-step explanation:

To work backwards from average, you need to multiply the average by the total number of cases, which is 4, since there are 3 current cases/seasons and you want the 4th.

59 * 4 =  236

You then subtract the total home runs that you know of from 236.

236 - 55 - 58 - 69 = 54

To find average, you are adding to the total and then dividing by the number of groups, which is essentially mean (mean is basically the average).

log_c(A)=2
log_c(B)=5,
solve log_c(A^5B^3)

Answers

We know that [tex]\log_a(bc)=\log_a(b)+\log_a(c)[/tex].

Using this rule,

[tex]\log_c(A^5B^3)=\log_c(A^5)+\log_c(B^3)[/tex].

We also know that [tex]\log_c(a^b)=b\log_c(a)[/tex].

Using this rule,

[tex]\log_c(A^5)+\log_c(B^3)=5\log_c(A)+3\log_c(B)[/tex]

Now we know that [tex]\log_c(A)=2,\log_c(B)=5[/tex] so,

[tex]5\cdot2+3\cdot5=10+15=\boxed{25}[/tex].

Hope this helps :)

A sports stadium has a capacity of 42,000. On a
particular night, 35,000 spectators attend an event. At
the end of the event, spectators leave the stadium at a rate
of 320 spectators every minute. If m represents the
number of minutes after spectators begin to leave the
stadium, which of the following inequalities describes
the times when there are still spectators in the stadium?
A) 42,000 - 35,000m < 320
B) 35,000 - 320m > 0
C) 35,000 + 320m < 42,000
D) 320m < 87,000

Answers

Answer:

B

Step-by-step explanation:

The inequality will be 35000-320m>0

if k = p+2q/3 , find the value of p when k=7 and q=3​

Answers

Answer:

p = 5

Step-by-step explanation:

hopefully it is clear and understandable :)

Find the remainder when f(x) = x^3- 6x^2 +3x -1 divided by 2x-3

Answers

Answer:

Remainder is -53/8

Step-by-step explanation:

the divisor is (2x - 3):

make x the subject:

[tex]2x - 3 = 0 \\ 2x = 3 \\ x = \frac{3}{2} [/tex]

substitute for x in the function:

[tex]f(x) = {x}^{3} - 6 {x}^{2} + 3x - 1 \\ f( \frac{3}{2} ) = {( \frac{3}{2}) }^{3} - 6 {( \frac{3}{2}) }^{2} + 3( \frac{3}{2} ) - 1 \\ \\ f( \frac{3}{2} ) = \frac{ - 53}{8} [/tex]

Which of these numbers are greater than 24? Check all that apply.
O A. 12
B. 15
O C. 42
D. 41
E. 13
D F. 18

Answers

Answer:

A, B, E, F

Step-by-step explanation:

24>12, 24>15, 24>13, 24>18, 24<42, 24<41

Probability of picking a blue marble and a yellow marble when 2 marbles are picked (without replacement) from a bag containing 4 blue and 4 yellow marbles

Answers

Answer:

9/49

Step-by-step explanation:

that is the procedure above

Determine the degree of the term 2^3x2yz4

Answers

Answer:

7

Step-by-step explanation:

It looks like the term is [tex]2^3}x^2}yz^4[/tex]

First simplify

[tex]8x^2}yz^4[/tex]

[y has an exponent of 1 btw]

Then to find the degree of a term, just add up the values of all the exponents

2+1+4=7

I hope this helps!

Andrea's Sequoia gets 12 miles per gallon while driving in the city, and 20 miles per gallon while on the highway. The last time she filled up the car it took 16 gallons of gas, and she had driven 280 miles since the previous fill-up. How many miles of that 280 were city driving?

Answers

Answer:

60miles

Step-by-step explanation:

if they drove x miles in the city and y miles on the highway then you know that

x + y = 280

x/12 + y/20 = 16

x + 12y/20 = 16*12 = 192

8y/20 = 88

y = 220

x = 280-y = 280-220 = 60

Samuel had 12 red marbles , 15 blue marbles , and 13 green marbles . Which fraction represents the number of red marbles he has

Answers

Answer:

12/40 or simplified it would be 3/10

Step-by-step explanation:

Please help me please please help ASAP

Answers

Step-by-step explanation:

70 + 45 = 115

180 - 115 = 65

angle c = 65

use sohcahtoa

cos angle = adjacent

hypotenuse

cos 65 = 2.5

b

b cos 65 = 2.5

use the calc for further answers

hope that helped

URGENT!! (Picture included)

Answers

Answer:

-85

Step-by-step explanation:

You can use calculator for this question

Sharla invests $275 in a simple interest bearing account for 16 years. The annual interest rate is 8%. Using the simple
interest formula, / -Prt, how much interest will Sharla's initial investment earn over the 16 year period?
$297
$319
$352
$627

Answers

Answer:

352

Step-by-step explanation:

I = PRT  where P is the principle, I is the interest rate, T is the time

I = 275 ( .08) ( 16)

I = 352

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