Mathematics High School

Use the Distributive Property to expand this expression.

z(–6.4 – 3.5x)

Answers

Answer 1

Answer:

[tex]z\left(-6.4\:-3.5x\right)=-6.4z-3.5zx[/tex]

Hence, Option 'C' is true.

Step-by-step explanation:

Given the expression

[tex]z\left(-6.4\:-3.5x\right)[/tex]

Apply distributive law: [tex]a\left(b-c\right)=ab-ac[/tex]

Here: [tex]a=z,\:b=-6.4,\:c=3.5x[/tex]

so the expression becomes

[tex]z\left(-6.4\:-3.5x\right)=z\left(-6.4\right)-z\cdot \:\:3.5x[/tex]

[tex]=-6.4z-3.5zx[/tex] ∵ [tex]+\left(-a\right)=-a[/tex]

Therefore,

[tex]z\left(-6.4\:-3.5x\right)=-6.4z-3.5zx[/tex]

Hence, option 'C' is true.

Related Questions

Calculate the total cost of a meal that cost $45.12 if the sales tax is 5.2% and yo want to leave a
17% tip.

Answers

Answer:

55.53

Step-by-step explanation:

45.12

5.2%= 1.052

new price= original(1+5.2%)

x=45.12(1.052)

×=47.46624+17%

=55.53

PLS HELPPPPP THANK UUU
y = -x + 2
y = 3x - 4

a. x = 1/2, y = 3/2
b. x = 5/2, y = 1/2
c. x = 3/2, y = 1/2
d. x = 1/2, y = 5/2

+ graph

Answers

C. x=3/2 y=1/2

Hope this helps!

If a bicyclist, with an initial velocity of zero, steadily gained speed until reaching a final velocity of 13m/s, how far would she travel during this race?

Answers

Answer:

The distance travel during race is 13 m

Step-by-step explanation:

The answer is the distance travel during race is 13m.

15x + 13y = 11
Pls help me

Answers

Answer:-0.133333333333

Step-by-step explanation:

Which expressions are equivalent to -6 + 3(2+ (-4t)?
A -12t
B 12t-12
C none of the above

Answers

I can assure you that it is A

For the expression, select all equivalent expressions from the list.
54y - 24
A. 6(9y - 4)
B. 30y
C. 27y - 12
D.6 x 9y - 6 x 4

Answers

Answer:

the correct answer is A , D

HELP HELP HELP HELP HELP HELP HELP

Answers

Answer:

Step-by-step explanation:

Answer is 58

Explanation do inside [] first then add together.
11-6= 5 5x5=25
25x2=50
50+3+8=58

What number goes in the “?”

? - 2x - 5 = 5

Answers

First, replace the “?” with an x:
x - 2x - 5 = 5

Next, combine alike terms:
[ x - 2x ] - 5 = 5
^ alike terms

This will result in:
-x - 5 = 5

You do the inverse (opposite) of -5
-x -5 = 5
+5

Once you do the plus 5, the five moves to the end of the equation:
-x - 5 = 5 + 5
+5>>>>>^

The “-5” no longer exists because you canceled it with the “+5” that you moved to the other side.
The new equation:
-x = [5 + 5]
^ you add these two

After adding you get:
-x = 10

When putting “x” into a number it will ALWAYS be 1.

You then divide both sides by the “x” (which is -1 since it it always equal to one but is negative because it has a negative sign on it)

Your new equation:
-x / -1 = 10 / -1

If you divide to negatives, this will result in a positive.

You’re left with:
-x / -1 = x (since two negatives become a positive result)
10 / -1 = 10 (if there’s a negative and positive when dividing, it will automatically become negative) [ONLY FOR DIVISION]

At the end you’re left with:
x = -10

hope this helps!! if not feel free to reach out to me!!

Two hikers are miles apart and walking toward each other. They meet in hours. Find the rate of each hiker if one hiker walks mph faster than the other. The speed of the slow hiker is nothing mph, and the speed of the fast hiker is nothing mph.

Answers

Complete question : Two hikers are 33 miles apart and walking toward each other. They meet in 5 hours. Find the rate of each hiker if one hiker walks 2.2 mph faster than the other. The speed of the slow hiker is nothing mph, and the speed of the fast hiker is nothing mph.

Answer:

2.2 mph ; 4.4 mph

Step-by-step explanation:

Given that :

Total distance apart = 33

Time taken = 5 hours

Rate of slow hiker = x

Rate of fast hiker = x + 2.2

Speed (rate) = distance / time

Distance = speed * time

Distance covered by fast hiker + distance covers by slow hiker

(x + 2.2)*5 + 5x = 33

5x + 11 + 5x = 33

10x = 33 - 11

10x = 22

x = 22 / 10

x = 2.2

Rate of slow hiker = 2.2 mph

Rate of fat hike = x + 2.2 = 2.2 + 2.2 = 4.4 moj

The number of apples purchased at 56 and be represents the number of bananas purchased at 10 since each of the total value of the purchase and sent a plus B 25 a plus B turn a +15 B 15 8+10 B

Answers

The question isn't well formatted and incomplete :

Complete question :

If A represents the number of apples purchased at 15 cents each, and B represents the number of bananas purchased at 10 cents each, which of the following represents the total value of the purchases in cents?

Answer:

15A + 10B

Step-by-step explanation:

Number of apples purchased = A

Price per apple = 15 cents

Number of bananas purchased = B

price per banana = 10 cents

Total price of A apples :

Price per apple * number of apples = 15A

Total price of B bananas :

Price per banana * number of bananas = 10B

Total value of purchase :

Total price of A apples + Total price of B bananas

15A + 10B

Olivia and her three siblings bring a sack lunch to school each day, consisting of a bagel, an apple, a cookie, and a juice box. When Olivia's mom goes grocery shopping, she likes to purchase the same amount of each lunch item so that she can make complete lunches, with no leftover items. However, each item comes in a different sized package, as shown below: Bagels: six in a bag Apples: eight in a bag Cookies: twelve in a box Juice Boxes: nine in a box Find the least number of packages she must purchase in order to have the same amount of each item.

Olivia's mom should purchase how many bags of apples?

Answers

Answer:

Step-by-step explanation:

Find the LCM

6=2x3

8=2x2x2

9=3x3

12=2x2x3

LCM=2³x3²

=72

Find the missing length marked with a question mark.
UVW-USR

Answers

Given:

[tex]\Delta UVW\sim \Delta USR[/tex]

To find:

The missing length marked with a question mark.

Solution:

Let x be the missing value.

We have,

[tex]\Delta UVW\sim \Delta USR[/tex]

Corresponding sides of similar triangles are proportional, so

[tex]\dfrac{UV}{US}=\dfrac{VW}{SR}=\dfrac{UW}{UR}[/tex]

Using this, we get

[tex]\dfrac{UV}{US}=\dfrac{UW}{UR}[/tex]

On substituting the values, we get

[tex]\dfrac{70}{x}=\dfrac{55}{44}[/tex]

[tex]\dfrac{70}{x}=\dfrac{5}{4}[/tex]

On cross multiplication, we get

[tex]70\times 4=5\times x[/tex]

[tex]280=5x[/tex]

[tex]\dfrac{280}{5}=x[/tex]

[tex]56=x[/tex]

Therefore, the missing length is 56 units.

Luke and Liam wash their clothes on a schedule. Luke
washes his clothes every 7 days and Liam washes his
clothes every 9 days. How long will it be before they
both wash their clothes on the same day

Answers

Jsjsjfjsksjjdjfjdkdjhfjdnfnkfkddhhd

Answer:

2......... ..... ..m.......... ..

What is the slope and y-intercept of the following graphed Line?

Answers

Slope is 1/2 and y-intercept is 1

A king owned land outside of his castle he has partitioned the land to give as gifts to his 5 sons what fraction of land did the king give to each of his sons

Answers

Answer:

1/5

Step-by-step explanation:

since there is 5 sons they divide the land in 5.

Kevin has $24 to buy a gift for his cousin. He found a gift for $22. With 5% sales tax added on, will Kevin have enough money to buy the gift? If so, how much will he pay?

Answers

The answer is He will have enough because 5% sales tax + $22 is equal to 23.10

2(2x + 3)=4x + 3x - 9

Answers

Answer:

x=5

Step-by-step explanation:

Answer:

2(2x + 3)=4x + 3x - 9

4x+6=4x+3x+−9

4x+6=(4x+3x)+(−9)

4x+6=7x+−9

4x+6=7x−9

4x+6−7x=7x−9−7x

−3x+6=−9

−3x+6−6=−9−6

−3x=−15

-3x/-3=-15/-3

x=5

a. A new restaurant owner purchased ads
to run in the paper over several days. She
1
1
5
bought two
-page ads, nine
20
-page ads,
1
and five 4 -page ads. What was the total
amount of space that

Answers

It could prob be 385

help me out, please :-)

Answers

Answer:

No we see that x= 3 goes to 11 and so does x= 6

To be a function each x must correspond to a distinct y

This is NOT a function!

Which of the following is a proportion? 5/6= 10/18 4/6 = 6/9 4/3 = 6/8 2/5 = 4/25

Answers

Answer:

4/6 = 6/9

Step-by-step explanation:

Because 4/6 = 2/3 and 6/9 = 2/3

which phrase represents 3-7x

Answers

Answer:

3 less 7x

Step-by-step explanation:

I think soooo

not sure either

Answer: 3 - 7x = D) The difference between three and seven times a number. This expression is known because the words times and difference are your key words. Times means multiplication and difference means subtraction.

The difference between three and seven times a number.

HOPE THIS HELPS

There are 40 animals in Mang Roman's farm.The ratio of cows to carabaos to goats to horses is 4:2:3:1. How many animals of each kind are there in Mang Roman's farm.

Answers

Answer:

there are

16, 8, 12 and 4 different animals

Step-by-step explanation:

Step-by-step explanation:

Step one:

given data

Number of Animals = 40

The given ratio is = 4:2:3:1

The total ratio is = 4+2+3+1= 810

Step two;

Applying the part to all method

The first animal

4/10=x/40

cross multiply

10x= 40*4

divide both sides by 10

x= 160/10

x= 16

for second we have

2/10=x/40

cross multiply

10x= 40*2

divide both sides by 10

x= 80/10

x= 8

for the third we have

3/10=x/40

cross multiply

10x= 40*3

divide both sides by 10

x= 120/10

x= 12

for the fourth we have

1/10=x/40

cross multiply

10x= 40*1

divide both sides by 10

x= 40/10

x= 4

Please I need help could you explain how did you do it?

Answers

Answer:

is the correct answer.

Step-by-step explanation:

Answer:

2ND ONE

Step-by-step explanation:

1.
Which verbal expression can be represented by
2(x-5)?
a) five less than two times a number
b) the product of two and five more than a number
c) the product of two and five less than a number
d) twice a number decreased by five

Answers

Answer:

Twice a number decressed by five

Answer:

Step-by-step explanation:

the product of two and five less than a number

What is 538 rounded to the nearest ten?

Answers

540 (hope this helps)

The required rounded value of 538 to the nearest ten is 540.

To round 538 to the nearest ten, you can follow these steps:

Look at the one's digit: In this case, the one's digit is 8.Determine if the one's digit is 5 or greater: Since the one's digit is 8, which is greater than 5, we need to round up.Add 1 to the tens digit: Increase the tens digit (3) by 1.Change all the digits to the right of the tens digit to zero: Set the one's digit and all digits to the right of it to zero.

By following these steps, we round 538 to the nearest ten as follows:

538 rounded to the nearest ten is 540.

Therefore, the rounded value of 538 to the nearest ten is 540.

Learn more about round numbers here;

brainly.com/question/867784

#SPJ6

Under his cell phone plan, Hunter pays a flat cost of $61.50 per month and $5 per gigabyte. He wants to keep his bill under $70 per month. Write and solve an inequality which can be used to determine xx, the number of gigabytes Hunter can use while staying within his budget.

Answers

Answer:

$70 >= $61.50 + $5x

Step-by-step explanation:

With the values provided the only variable would be the number of gigabytes. Since Hunter does not want to spend more than $70 then the value of the amount of money he is paying for gigabytes plus the flat cost needs to be less than or equal to $70. Therefore, the following inequality would represent this scenario best...

$70 >= $61.50 + $5x

Nicole runs 7 miles in 50 minutes. At the same rate, how many miles would she run in 75 minutes?

Answers

Answer:10.5 ml

Step-by-step explanation:do 75/50=1.5

Do 7 times 2.6 and get 7+2.5=10.5 miles

What is the X- Intercept

Answers

Answer:

-35,0 is the x-intercept

Step-by-step explanation:

ok i dont wanna have to explain so tell me if you want an explanation.

Answer:

ooooooooooopppppppppp

expand the following 3(x+9) 4(x-1) 5(5x+2) 8(3x-y)

Answers

3•x 3•9
4•x 4•-1
5•5x 5•2
8•3x 8•-y

hope this helps

Need help with math pls help.

Answers

9514 1404 393

Answer:

Step-by-step explanation:

Segment D seems to have a slightly steeper slope than segment C.

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Use the Distributive Property to expand this expression. z(–6.4 – 3.5x)

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Use the Distributive Property to expand this expression.

z(–6.4 – 3.5x)