The total length of 5 belts and 3 shoe laces is 4.2 m. The total length of 3 shoe laces is equal to the length of 2 belts
a) Find the length of a belt
b) Find the total length of 7 belts and 2 shoe laces

Answers

Answer 1

Answer:

a= 0.84m

b= 7m

i tried my best but im not sure of the answer

Step-by-step explanation:

5x+3y=4.2

2x=3y

x = 4.2-3y/5

2*(4.2-3y/5) = 3y

=1.68/3 = 0.56

y=0.56

2x = 3*0.56

x = 0.84

Answer 2

a) The length of one belt (b) is 0.6 meters, or 60 centimeters.

b) The total length of 7 belts and 2 shoe laces is: 5 meters.

Let the length of one belt be "b" meters, and the length of one shoe lace be "s" meters.

a) Find the length of a belt:

According to the given information, the total length of 5 belts and 3 shoe laces is 4.2 meters. We can express this information as an equation:

5b + 3s = 4.2

b) Find the total length of 7 belts and 2 shoe laces:

The total length of 3 shoe laces is equal to the length of 2 belts. We can express this information as another equation:

3s = 2b

Now, we can use these two equations to solve for the values of "b" and "s."

Step 1: Solve the second equation for "s":

3s = 2b

Divide both sides by 3:

s = (2/3)b

Step 2: Substitute the value of "s" from the second equation into the first equation:

5b + 3((2/3)b) = 4.2

5b + 2b = 4.2

7b = 4.2

Step 3: Solve for "b":

b = 4.2 / 7

b = 0.6

Now that we have the value of "b," we can find the value of "s" using the second equation:

s = (2/3)b

s = (2/3) * 0.6

s = 0.4

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Related Questions

Translate the sentence into an equation four more than six times a number is 11

Answers

6x+4=11

(x is "a number")

The average bedroom is an apartment is approximately 16x10

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Answer:

Bro what to find with this

Answer:

 which would mean it would  have the area  of   160 square feet  

Step-by-step explanation:

1. If you were to shade all the numbers that are divisible by 2 and by 3 in this multiplication table which rows would be completely shaded? Why?

Answers

Answer:

The ones that are divisible by 6

Step-by-step explanation:

If it is even, divisible by 2

If the sum of digits is divisble by 3, it would be divisible.

These examples are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96.

You are welcome,

Kayden Kohl

8th Grade

the bill from your electrician was $198. he worked for 3 hours. the cost for materials was $33. how much did the electrician charge you per hour

Answers

Answer:

Answer is 66

Step-by-step explanation:

divide 198 by 3 and you get 66

Hope this helps!

It cost Chloe $9.20 to send 92 text messages. How many text messages did she send if she spent $18.00?
who know plz plz !!

Answers

Answer:

180 texts

Explanation:

mutiply 92 by 0.10 and you'll get 9.2

So each text costs 10 cents.

find equation of a line containing (3,-4) and having a slope of -2. if this line contains the points(a, 8) and (5,b) find a and b

i will give brainlest for the best answers with best explanation ​

Answers

Answer:

a = - 3, b = - 8

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 )

Here m = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute (3, - 4 ) into the partial equation

- 4 = - 6 + c ⇒ c = - 4 + 6 = 2

y = - 2x + 2 ← equation of line

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

Substitute (a, 8 ) into the equation and solve for a

8 = - 2a + 2 ( subtract 2 from both sides )

6 = - 2a ( divide both sides by - 2 )

- 3 = a

Substitute (5, b ) into the equation and solve for b

b = - 2(5) + 2 = - 10 + 2 = - 8

x+3y=23
x-2y= -17
help elimationmethod

Answers

Answer:

1. 20

2.19

ok that will help you

An item is on sale for 30% What would the new cost be if the item was originally $275

Answers

Answer:

$192.5

Step-by-step explanation:

$275÷10=27.5

27.5×3=82.5

275-82.5=192.5

parallel perpendicular or neither

Answers

Answer: perpendicular

Step-by-step explanation: an opposite reciprocal makes it perpendicular.

example

1/2 and -2 are opposite reciprocals

1/2 and 1/2 are parallel

1/2 and -4/3 are neither

Answer:

The answer is perpendicular

Could someone help me figure this out?

Answers

Answer:

The area of a rectangle is the length multiplied by its breadth.

Since the length is [tex]3(n-1)[/tex] and the breadth is [tex]n+2[/tex] and the area is 54, you can form an equation as followed:

[tex]3(n-1)*n+2=54[/tex]

[tex]3n(n-1)+2=54[/tex]

Expand:

[tex](3n*n)-(3n*1)+2=54[/tex]

[tex]3n^2-3n+2=54[/tex]

Subtract both sides by 54:

[tex]3n^2-3n+2-54=54-54[/tex]

[tex]3n^2-3n-52=0[/tex]

solve for X in the figure below

Answers

[tex]\\ \sf\longmapsto 4x+12+90=180[/tex]

[tex]\\ \sf\longmapsto 4x+102=180[/tex]

[tex]\\ \sf\longmapsto 4x=78[/tex]

[tex]\\ \sf\longmapsto x=19.7[/tex]

Shawn has 325 dollars if shawn uses only hundreds tens and ones write the number of each kind of bill that shawn has NEEDS TO BE ANSWERED ASAP

Answers

Answer:

3 hundreds, 2 tens, 5 ones

Jenny drove 335 miles in 5 hours at the same rate how long would it take her to drive 871 miles?

Answers

Answer: x = 13 hours

Step-by-step explanation:

335 miles/5 hours = 67 mi/hr

(67 mi/hr)x = 871 miles

x = 13 hours

Answer ALL the question. Thank you


1) A toad jumps 8 times. Every time he jumps, he covers the same distance. After 8 jumps, he had traveled 96 steps. How long are his jumps?


2) Roger covers 52 steps in 1 jump and 7 steps. How many steps are equal to on of Roger's jumps?


3)Wartortle takes the same amount of time to get to 96, but he does it differently. Each of his jumps is equal to 8 of the toad's steps. How many jumps does Wartorle make?


4) Ribbbie jumped just as far as MT, 52 steps, but Rabbie did it in 3 jumps and 10 steps. How many steps are equal to one of Ribbie's jumps?

Answers

1) The toad's jumps are 12 steps long.

2) One of Roger's jumps equals 45 steps.

3) Wartortle makes 1 jump to cover 96 steps.

4) One of Ribbie's jumps is equal to 14 steps.

1) Given that a toad jumps 8 times, and every time he jumps, he covers the same distance, and after 8 jumps, he had traveled 96 steps, to determine how long are his jumps the following calculation must be performed:

96/8 = X 12 = X So, his jumps are 12 steps long.

2) Given that Roger covers 52 steps in 1 jump and 7 steps, to determine how many steps are equal to one of Roger's jumps, the following calculation must be performed:

52 - 7 = X 45 = X Thus, one of Roger's jumps equals 45 steps.

3) Since Wartortle takes the same amount of time to get to 96, but he does it differently, as each of his jumps is equal to 8 of the toad's steps, to determine how many jumps does Wartorle make the following calculation must be performed :

8 x 12 = X 96 = X 96/96 = 1 Therefore, Wartortle makes 1 jump to cover 96 steps.

4) Given that Ribbie jumped just as far as MT, 52 steps, but Ribbie did it in 3 jumps and 10 steps, to determine how many steps are equal to one of Ribbie's jumps, the following calculation must be performed:

(52 - 10) / 3 = X 42/3 = X 14 = X Therefore, one of Ribbie's jumps is equal to 14 steps.

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Evaluate the Expression for x=5 and y =3 and z = 1/4

Answers

Answer:

4

Step-by-step explanation:

We start with this:

[tex]\frac{5x-6y +20z}{4yz}[/tex]

Then we insert the vales of the variables like this:

[tex]\frac{5(5)-6(3) +20(\frac{1}{4} )}{4(3)(\frac{1}{4}) }[/tex]

Next, Simplify:

[tex]\frac{25-18 +5}{3 }[/tex]

[tex]\frac{12}{3 }[/tex]

Simplify further, and we get our answer: 4

If one of the 255 subjects is randomly selected, find the probability that the person is over 40 and prefers cola.


a) 4/19

b) 4/17

c) 4/51

d) 32/51

Answers

Answer:

32/51

Step-by-step explanation:

1. John is going to join a gym. He must pay a one-time membership fee of $75 and a monthly fee of $30. Let m = the number of months John has his membership. Write an expression to represent this situation How much will John pay for 6 months of membership?

2. Madison is having a party. She went to the store and bought a cake for $18.50 and 20 balloons. Her total bill was $63.50. How much did each balloon cost if they all cost the same? Write and solve an equation. Please look over these again. Webmail your answers to get your points back.

Answers

John's membership in the gym and Madison's party are illustrations of linear equations.

1. John's equation

The given parameters are:

[tex]\mathbf{Base = 75}[/tex]

[tex]\mathbf{Monthly = 30}[/tex]

The monthly expression is:

[tex]\mathbf{f(m) = Base + Monthly \times m}[/tex]

So, we have:

[tex]\mathbf{f(m) = 75+ 30 \times m}[/tex]

[tex]\mathbf{f(m) = 75+ 30m}[/tex]

For 6 months, we have:

[tex]\mathbf{f(6) = 75+ 30 \times 6}[/tex]

[tex]\mathbf{f(6) = 255}[/tex]

Hence, the expression that represents the situation is [tex]\mathbf{f(m) = 75+ 30m}[/tex], and the amount for 6 months of membership is $255

2. Madison's party

The given parameters are:

[tex]\mathbf{Cake = 18.50}[/tex]

[tex]\mathbf{Balloon = 20}[/tex]

[tex]\mathbf{Total = 63.50}[/tex]

Let n represent the cost of each balloon.

So, the equation is:

[tex]\mathbf{Cake + Balloon \times n = Total}[/tex]

This gives:

[tex]\mathbf{18.50 + 20 \times n = 63.50}[/tex]

Subtract 18.50 from both sides

[tex]\mathbf{ 20 \times n = 45}[/tex]

Divide both sides by 20

[tex]\mathbf{ n = 2.25}[/tex]

Hence, the expression that represents the situation is [tex]\mathbf{18.50 + 20 \times n = 63.50}[/tex], and the cost of each balloon is $2.25

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Given that (x-1) is a factor of p(x)=x^3+2x^2-x-2,factorize p(x) completely ​

Answers

Answer:

Step-by-step explanation:

. Mrs. Jackson needs to earn $3,000 a
month. How much does she need to sell if
she earns 15% commission on everything
she sells?

Answers

Answer:

20000

Step-by-step explanation:

Answer:

20000

Step-by-step explanation:

Slope - Part 1
What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest
form in the box
Please hurry!!

Answers

Answer:

-1

Step-by-step explanation:

We can use the slope formula to find the slope

m = ( y2-y1)/(x2-x1)

Using the points on the line  (-2,0) and (0,-2)

m = ( -2-0)/(0- -2)

   = (-2-0)/(0+2)

   -2/2

   -1

I HAVE A SEMICIRCLE WITH A DIAMETER 16cm. How do I find the perimeter of the SEMICIRCLE

Answers

Answer:

Perimeter of Semicircle

The perimeter of a semicircle is the sum of the half of the circumference of the circle and diameter. As the perimeter of a circle is 2πr or πd. So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius.21-Oct-202

Answer:

Perimeter is 41.1327 centimeters

Step-by-step explanation:

The perimeter of a semi-circle is the circumference of the full circle plus the length of the diameter.

To find the circumference of a circle, just multiply the diameter by pi:

[tex]c=\pi\times d\\c=\pi\times 16\\c=50.2655[/tex]

Now, add the diameter to half of it:

[tex]p=\frac{c}{2}+d\\p=\frac{50.2655}{2}+16\\p=25.1327+16\\p=41.1327[/tex]

Today, Petland sold 8 times as many dogs as cats. If a total of 72 dogs and cats were sold, how many cats were sold?

Answers

72 divided by 8 is 9.

9 cats were sold

6) The 4,000 students at Tech High were surveyed about their use of text
messaging. How many students said they text 50-100 times a day? *
1 point
How many text messages do you send
a day?
0-50
10%
50-100
75%
100-150
10%
More than 150
5%
Your answer

Answers

Answer: 3,000

Step-by-step explanation:

4,000 divided by 4 is 1,000. This means that 25% of 4,000 is equal to 1,000. 75 divided by 3 is 25. Multiply 1,000 times 3 to get your answer, 3,000, which is 75% of 4,000.

if 3x+4y=11 and xy=2 solve simultaneously​

Answers

Answer:

(1, 2 ) and ([tex]\frac{8}{3}[/tex], [tex]\frac{3}{4}[/tex] )

Step-by-step explanation:

3x + 4y = 11 → (1)

xy = 2 ( divide both sides by y , y ≠ 0 )

x = [tex]\frac{2}{y}[/tex] → (2)

Substitute x = [tex]\frac{2}{y}[/tex] into (1)

3([tex]\frac{2}{y}[/tex] ) + 4y = 11

[tex]\frac{6}{y}[/tex] + 4y = 11 ( multiply through by y )

6 + 4y² = 11y ( subtract 11y from both sides )

4y² - 11y + 6 = 0

Consider the factors of the product of the y² term and the constant term which sum to give the coefficient of the y- term

product = 4 × 6 = 24 and sum = - 11

The factors are - 8 and - 3

Use these factors to split the y- term

4y² - 8y - 3y + 6 = 0 ( factor first/second and third/fourth terms )

4y(y - 2) - 3(y - 2) = 0 ← factor out (y - 2) from each term

(y - 2)(4y - 3) = 0

Equate each factor to zero and solve for y

4y - 3 = 0 ⇒ 4y = 3 ⇒ y = [tex]\frac{3}{4}[/tex]

y - 2 = 0 ⇒ y = 2

Substitute these values into (2)

y = 2 : x = [tex]\frac{2}{2}[/tex] = 1 ⇒ (1, 2 )

y = [tex]\frac{3}{4}[/tex] : x = [tex]\frac{2}{\frac{3}{4} }[/tex] = 2 × [tex]\frac{4}{3}[/tex] = [tex]\frac{8}{3}[/tex] ⇒ ( [tex]\frac{8}{3}[/tex], [tex]\frac{3}{4}[/tex] )

When William had one cat, he needed to serve 1/8 of a can of cat food each day. Now that William has adopted a second cat, he needs to serve a total of 2 7/8 cans each day. How much extra food is needed to feed the second cat?

Answers

2 7/8 - 1/8 = 2 6/8 cans of cat food

In ⊙V, QT ≅ RS. If UV = 4 cm, then VW = _______ cm.

Answers

Answer:

VW = 4 cm

Step-by-step explanation:

Congruent chords are equidistant from the centre , so

VW = UV = 4 cm

20 points solve (x-3)(x^2+3x+9)=37

Answers

Answer:

the answer is x = 4.

1. use the quadratic formula.

2. use a coordinate plane to check your answer.

hope this helps.

Answer:

x = 4

Step-by-step explanation:

(x - 3)(x² + 3x + 9) = 37 ← distribute left side

x³ + 3x² + 9x - 3x² - 9x - 27 = 37 , simplify left side by collecting like terms

x³ - 27 = 37 ( add 27 to both sides )

x³ = 64 ( take cube root of both sides )

x = [tex]\sqrt[3]{64}[/tex] = 4

The Batpod and The Falcon Cycle are traveling down the
highway. That Batpod can travel at a speed of 4 miles
per minute; while the Falcon Cycle can double that at a
speed of 8 miles per minute. If Falcon gives Batman a 6
minute head start. How long will Batman have traveled
before Falcon catches him?


I need help so I can turn in my Packet?!?!?

Answers

Answer:

3/2 minutes or 1.5 minutes

Step-by-step explanation:

We want to know when the two following equations will be equal, so we can set them equal to each other

(x = time passed)

Falcon

\/

8x = 4x + 6

         /\

   Batman

8x = 4x + 6 -> 4x = 6 -> x = 6/4 -> x = 3/2

We can also graph it, see attatched

Have a nice day! - also, lol, the different car names

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

help me plz.......................

Answers

Answer:

B

Step-by-step explanation:

-16x - 32

We can factor out -16 from the -16 and -32 which leads us to this equation:

-16 (x + 2)

Meaning B would be the correct answer

Answer: B. -16(x + 2)

Step-by-step explanation:

The GCF, or greatest common factor, of -16 and -32, is -16.

Thus, distribute out -16 to get -16(x + 2)

Hope it helps :) and let me know if you want me to elaborate.

Diego is planting corn on his farm. He predicts that he will grow 20 tons of corn when he plants 5 acres with corn. Part A Use the information above to complete the table. Number of Acres Planted with Corn Tons of Corn Grown 5 10 15 20 DULL​

Answers

The number of tons of corns grown on the farm is given my a multiple of

the number of acres planted.

The number of tons of corn predicted per 5 acres planted = 20 tons

Therefore, we have;

[tex]\begin{tabular}{ccc}Tons of corn produced per acre\end{array}\right] = \dfrac{20 \ tons}{5 \ acres} = \mathbf{4 \ tons /acre}[/tex]

The completed table is presented as follows;

[tex]\begin{tabular}{c|c|c}\underline{Number of Acres Planted with Corn}&\underline{4 tons per acre} &\underline{Tons of Corn Grown}\\5&5 \times 4&20\\10&10 \times 4&40\\15&15 \times 4&60\\20&20 \times 4&80\end{array}\right][/tex]

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