Mathematics High School

LOMMON COREATHEMATICS CURRICULUM
Lesson 15 Homework 5.2
3. String A is 35 centimeters long. String B is 5 times as long as String A. Both are necessary to create a
decorative bottle. Find the total length of string needed for 17 identical decorative bottles. Express your
answer in meters.


Answers

Answer 1

Answer:

The total length of string needed for 17 identical decorative bottles is 35.70 meters

Step-by-step explanation:

Let us solve the question

∵ String A is 35 centimeters long

∵ String B is 5 times as long as String A

→ Multiply the length of A by 5 to get the length of B

∴ The length of string B = 35 × 5 = 175 cm

∵ Both are necessary to create a decorative bottle

∴ The length needed for 1 bottle = 35 + 175 = 210 cm

∴ Each bottle needs 210 cm to be decorated

∵ There are 17 identical bottles

→ Multiply the length needed for 1 bottle by 17

∴ The total length needed = 17 × 210 = 3570 cm

∴ The total length needed to decorate 17 bottles is 3570 cm

∵ 1 meter = 100 centimeter

→ Divide the total length by 100 to express it in meters

∴ 3570 cm ÷ 100 = 35.70 m

The total length of string needed for 17 identical decorative bottles is 35.70 meters

Related Questions

Donna wants to calculate the height of a tree. She finds the length of the tree's shadow is 25 meters and the angle of elevation from the ground to the top of the tree is 30°. Find the height of the tree to the nearest whole number.

Answers

Answer:55

Step-by-step explanation:

Please help meeeeee!!!!​

Answers

Answer:

x = 30

Step-by-step explanation:

As we know, the angles inside of a triangle added together all equal 180°, so you would combine 3x + 2x + x = 180°. And then from there you can solve.

3x + 2x + x = 180°

[Combine like terms] 6x = 180°

[Divide 6 from both sides of the equal sign] x = 30°

Hope this helps!!

Sean is buying 9/16
pound of tea at a tea shop. The cost of tea is $24 per pound.

Answers

The cost of 9/16 pounds of tea is $13.50.

How to determine the cost of 9/16 pounds of tea

In order to determine the cost of 9/16 pounds of tea, the cost of a pound of tea would be multiplied by 9/16 pounds.

Cost of 9/16 pounds of tea = 9/16 x 24

= $216/16

= $13.50

To learn more about multiplication, please check: https://brainly.com/question/3385014

What is the surface area of a cylinder with a radius of 6 cm and a height of 3 cm?
A.108cm
B.72cm
C.54cm
D.36 cm?

Answers

Step-by-step explanation:

2πr^2h

2*22/7*6*6*3

2*22/7*36*3

2*22/7*108

evaluate the expression for n=6 (your answer will be a number)
3n - 3

Answers

Answer:

15

Step-by-step explanation:

3(6) - 3 =

18 - 3 =

15

the answer should be 15

Find the value of k , if one of the two roots of the equation : x2 + k X – 98 = 0 is double
the additive inverse of the other.
«+
C​

Answers

Given:

[tex]x^2+kx-98=0[/tex]

One of the two roots of the given equation is double  the additive inverse of the other.

To find:

The value of k.

Solution:

Let two roots of the given equation are [tex]\alpha[/tex] and [tex]\beta[/tex].

According to the question,

[tex]\beta=2(-\alpha)[/tex]        (Additive inverse of [tex]\alpha[/tex] is [tex]-\alpha[/tex])

[tex]\beta=-2\alpha[/tex]

If [tex]\alpha[/tex] and [tex]\beta[/tex] are roots of the quadratic equation [tex]ax^2+bx+c=0,[/tex] then

[tex]\alpha+\beta=-\dfrac{b}{a}[/tex]

[tex]\alpha\beta=\dfrac{c}{a}[/tex]

We have,

[tex]x^2+kx-98=0[/tex]

Here, a =1, b=k and c=-98.

[tex]\alpha+\beta=-\dfrac{k}{1}[/tex]

[tex]\alpha-2\alpha=-k[/tex]           [tex][\because \beta=-2\alpha][/tex]

[tex]-\alpha=-k[/tex]

[tex]\alpha=k[/tex]           ...(i)

Now,

[tex]\alpha\beta=\dfrac{c}{a}[/tex]

[tex]\alpha(-2\alpha)=\dfrac{-98}{1}[/tex]          [tex][\because \beta=-2\alpha][/tex]

[tex]-2\alpha^2=-98[/tex]

Divide both sides by -2.

[tex]\alpha^2=49[/tex]

Taking square root on both sides.

[tex]\alpha=\pm \sqrt{49}[/tex]

[tex]\alpha=\pm 7[/tex]

Using (i), we get

[tex]k=\pm 7[/tex]

Therefore, the value of k is either -1 or 1.

help please I will give brainiest​

Answers

It should be D

If not I’m sorry

Write down the equation of a line whose slope is -7 and crosses the y-axis at 7. Express in slope-intercept form.

Answers

Answer:

y= -7x+7

Step-by-step explanation:

y= mx+b

y= slope x+ y intercept

The equation of the line having the slope -7 and y-intercept  is 7 is: y = -7x + 7

What is the equation of line?

A straight line's equation is a relationship between its x and y coordinates, and it is written as y = mx + c, where m is the line's slope and c is its y-intercept.

We are given that the slope m is -7,

and the line crosses the y-axis at 7.

so the value of c = 7

Therefore, we can substitute these values into the slope-intercept form to get:

y = -7x + 7

So the equation of the line is y = -7x + 7.

To know more about Line check:

https://brainly.com/question/17188072

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Write the equation of the line that passes through the points (-4, 7) and (-6, -4).

Answers

Answer:

y = 11/2x + 29

Step-by-step explanation:

the slope goes up 11 and over 2 and the line crosses the y-axis at 29 so thats the y-intercept

someone please help!! 60 points!!

Answers

Answer:

It C am sure it correct....

Answer:

I think the answer would be C.

Which of the following is not a solution to the inequality
4x + 1 ≤ 18
A. 4
B. 4.23
C. 4.25
D. 4.27

Answers

Answer: A   4

step by step explmationn

Answer:

C. 4.25

Step-by-step explanation:

You would want to subtract the one so you could subtract it to 18 then divide 4 by 17 to get 4.25

5 times 5 times 1 times 1 times 1 times 2

Answers

Answer:

50

Step-by-step explanation:

5 x 5 = 25

25 x 1 x 1 x 1 = 25

25 x 2 = 50

hope this helps

<3

: )

Answer:

50

Step-by-step explanation:

PLS HELP. Which of the following describes a way to graph the function?

Answers

Answer:

The graph of the function is the set of all points (x,y) in the plane that satisfies the equation y=f(x) y = f ( x ) . ... A vertical line includes all points with a particular x value. The y value of a point where a vertical line intersects a graph represents an output for that input x value.

poggers poggers poggers

What is the value of s ?
Please help
No guessing

Answers

Answer:

s = 17

Step-by-step explanation:

use Pythagorean theorem a² + b² = c²

where a = 8

           b = 15

           c = s (which is unknown)

plugin values into the formula:

a² + b² = c²

8² + 15² = s²

s = √(64 + 225)

s = √289

s = 17

y=4x+7 in standerd form

Answers

Answer: Y=4x+7 in standard form is, 4x + 7y = 7

Step-by-step explanation:

Plz help me with this

Answers

Answer:

The first choice

Step-by-step explanation:

It says that its decreasing so the slope is negative.

It also starts of with 565 so that's the y intercept

The list below shows the different choices of pizka at the local pizza shop:
- pepperoni: 4
- supreme: 7
- cheese: 6
- Hawaiian: 3
Based on these results, what is the theoretical probability of choosing a Hawaiian pizza?

Answers

hmmm i’m gonna say you’re mostly likely not gonna like that pizza because it is the least picked pizza.

Answer:

   

Step-by-step explanation:

   

Find the slope between the points: (3,4) and (-1,-2)

Answers

Answer:

3/2 hope this helps hqhahjajja

can yall do the work of the answer 95 to this

Answers

9514 1404 393

Answer:

  ? = 95°

Step-by-step explanation:

Long arc QR is twice the measure of inscribed angle QSR, so is 2×95° = 190°. That, together with the remaining short arcs ? and RS will make up the total circle of 360°.

  arc QR + arc RS + ? = 360°

  190° +75° +? = 360°

  ? = 360° -265° . . . . . . subtract 265° from both sides

  ? = 95°

patty had 51 cent until she spent 5 nickles.how much money does patty have now?​

Answers

Answer:

26 cents

Step-by-step explanation:

5×5=25

51-25=26

Hello,

Let’s solve this! Nickels are worth 5¢ each, and a penny is 1¢.

Step-by-step:

Multiple the numbers

5 * 5

Subtract the total

51 - 25

Answer: 26

Hope this helps!

select the equation that represents the function given in the table below:

Please help!
​

Answers

Answer:

im to lazy to do an equation

Step-by-step explanation:

I give Brainlliest! 15 pionts!
Write the decimal as a percent.

0.768 =

Answers

Answer:

76.8%

Step-by-step explanation:

All you have to do is multiply the decimal by 100.

Answer:

76.8%

Step-by-step explanation:

I just did a thing and got the answer -v-

How far will a race car going 120 miles per hour travel in 3 hours

Answers

Answer:

360 miles

Step-by-step explanation:

to find the distance, multiply speed and time

120*3= 360

Can I have brainliest plz

If , which equation describes the graphed function? A. y = f(-x) − 3 B. y = -f(x) + 3 C. y = -f(x) – 3 D. y = f(-x) + 3

Answers

Answer:

y=-f(x)-3

Step-by-step explanation:

when f is negative it is reflected over the x-axis and -3 means to translate 3 units down

y = -f(x) – 3 describes the graphed function.

When f is negative it is reflected over the x-axis.

-3 means to translate 3 units down.

How do you identify a function?

By using inspecting the inputs (x-coordinates) and outputs (y-coordinates), you could decide whether or no longer the relation is a function. Keep in mind, that this is a feature each input has only one output.

What are examples of graph functions?

Function Graphs.Linear. Quadratic. Cubic. Square Root. Cube Root. Absolute Value. Reciprocal.

Learn more about graph functions here: https://brainly.com/question/4025726

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The bakers at the healthy bakery can make 160 bagels in 10 hours how many bagels contain make in 16 hours

Answers

Answer:

256

Step-by-step explanation:

divide 160 by 10 to get the bagels per hour then times 16

Evaluate the following for when x=5

4(x-2)(x-3)+7(x-2)(x-5)-6(x-3)(x-5)

Answers

Answer:5x^(2)-21x+4

Step-by-step explanation:

Which expression is equivalent to 2x^2 - 2x + 7?

Answers

Answer:

(o,7) vertical intercept

minimum (1/2 , 13/2)

Given the table, what is the linear equation?



x y

1 7

2 10

3 13

4 16

Answers

Answer:

yes

Step-by-step explanation:

X + 3y

I think this is true. I haven’t done this in a few years.

The table shows the distance Shannon ran over a week.
Day
Tuesday
Length {km)
5
2
6
Wednesday
1911 DO NOT
Friday
Saturday
How many more kilometers did Shannon run on Friday than on Saturday?
kilometer

PLEASE HELP

Answers

Answer:

Shannon run 1.5 km more on Friday than on Saturday.

Step-by-step explanation:

From the given table

Distance run on Friday = 4/2 = 2 kmDistance run on Saturday = 1/2 = 0.5 km

In order to run how many more kilometers Shannon run on Friday than on Saturday, we need to subtract the distance run on Saturday from the distance run on Friday.

i.e.

Friday run - Saturday run =  2 - 0.5

                                          = 1.5 km

Thus, Shannon run 1.5 km more on Friday than on Saturday.

what is 2/3x + 1/4x= 6 ??????

Answers

Use Cymath to find your answer

Answer:

x=72/11

Step-by-step explanation:

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