A factory is shipping 9 bicycles to a store. Each bicycle has a mass of 11.6 kg and is packed in a box with a mass of 3.41kg. What is the total mass of all the bicycles and their packing boxes?

Answer:

x = 1/5

Step-by-step explanation:

To solve, simplify the equation, then isolate "x". Start with the distributive property, where you multiply the number outside the brackets with each number inside the bracket. Isolate "x" by bringing all the other numbers to the right side on the equal sign. When moving a number, do its reverse operation to the whole equation.

-5(x-3) = 14           Distribute. Multiply -5 by "x", subtract -5 times 3.

(-5)x - (-5)3 = 14           Multiply -5 and 3

(-5)x - (-15) = 14           Two negatives make a positive

(-5)x + 15 = 14           Remove brackets around -5

-5x + 15 = 14           Start isolating

-5x + 15 - 15 = 14  - 15          Subtract 15 from both sides

-5x = -1          Left side: 15 cancelled out.  Right side: 14-15 = -1

-5x/-5 = -1/-5          Divide both sides by -5.

x = 1/5         Solved for "x"

Check your answer by substituting "x" with the answer you found:

-5(x - 3) = 14  

-5(([tex]\frac{1}{5}[/tex]) - 3) = 14          Change "x" to 1/5.

-5(([tex]\frac{1}{5}[/tex]) - [tex](\frac{5}{5})(\frac{3}{1})[/tex]) = 14           Make 5 the common denominator

-5([tex]\frac{1}{5}[/tex] - [tex]\frac{15}{5}[/tex]) = 14          Multiply the fractions across

-5([tex]\frac{1-15}{5}[/tex]) = 14        Combined the fractions on top of the same denominator

-5([tex]-\frac{14}{5}[/tex]) = 14          Simplify numerator

[tex]\frac{-5*-14}{5}[/tex] = 14          Multiply by combining into the numerator

[tex]\frac{70}{5}[/tex] = 14          Divide the top by the bottom of the fraction

14 = 14             Same answer on both sides

LS = RS          Left side equals right side

Therefore the answer is correct.

Answer:

Step-by-step explanation:

40:20

It’s simple division

Hope I helped

Answer:

t>-4

I’m not sure if this is right

Answer:

65°

Step-by-step explanation:

recall that for a triangle, the exterior angle (130 deg in this case) is equal to the sum of its remote interior angles (also see attached)

this means that

130° = y° + y°

or

2y° = 130°

y = 130/2 = 65°

Answer and explanation :

Hannah said that [tex]\frac{1}{8}[/tex] is not on the number line but she is wrong because [tex]\frac{1}{8}[/tex] can be represented on the number line

When we convert the fraction [tex]\frac{1}{8}[/tex] into decimal then it is equal to 0.125

And 0.125 lies between 0 and 1

If we divide one unit on number line into 10 parts then 0.125 lie between 0.1 and 0.2

And we know that any real number can be represented on number line as 0.125 is a real number so it can be represented on the number line

Answer:

This number line represents all number. Although 1

8

is not labeled, it still exists on the number line and can be plotted. 1

8

is located halfway between 0 and 1

4

Step-by-step explanation:

Answer:

A. 3.14

C. 2.33333

D. Square root of 144

Step-by-step explanation:

A. 3.14 true

B. Square root of 50  false because 50 is not a perfect square

C. 2.33333 true

D. Square root of 144  true because √144 = 12

Answer:

Step-by-step explanation:

The answer is 24 x 3 or 3 x 24. It says that he ran 3 times and it took 24 minutes. 3 x 24 is 72

Answer:

Step-by-step explanation:

The answer is 24 x 3 or 3 x 24. It says that he ran 3 times and it took 24 minutes. 3 x 24 is 72

hope this helps

Answer:

175 calories.

Step-by-step explanation:

There are 600 calories with 240 from fat in a 6 inch personal pizza.

If we consider the number of calories in each inch of pizza to be constant.

Then, a 14 inch pizza will have [tex]\frac{600}{6} \times 14 = 1400[/tex] calories.

Now, a standard 14 inch pizza has 8 slices and if the 14 inch pizza is cut into 8 slices then in each slice there will be [tex]\frac{1400}{8} = 175[/tex] calories. (Answer)

The estimated number of calories in one slice of a 14-inch pizza, assuming it is cut into 8 slices, is 408 calories.

In this problem, we need to work with the concept of Ratios and Proportions in order to estimate the amount of calories in one slice of a 14-inch pizza. Firstly, we may want to calculate how many 6-inch pizzas fit into a 14-inch pizza. To do this we can use the formula for the area of a circle (πr²) where the r represents the radius.

For the 6-inch pizza, the radius is 3 inches, and for the 14-inch pizza, the radius is 7 inches. Therefore, according to the formula, we have:

Area of 6-inch pizza: π * 3² = 9π

Area of 14-inch pizza: π * 7² = 49π

By dividing the area of the 14-inch pizza by the area of the 6-inch pizza, we find that around 5.44 of 6-inch pizzas fit into the 14-inch pizza:

49π/9π = 5.44

So, the 14-inch pizza has roughly 5.44 times more calories than the 6-inch pizza, meaning it would have 600 calories * 5.44 = 3264 calories.

If you split the pizza into 8 slices, each slice of pizza would therefore have 3264 calories / 8 slices = 408 calories.

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The correct answer is option C as the shown triangle is obtuse.

Based on the image, the triangle has the following angles:

Step 1: Sum of angles in a triangle

The sum of the angles in any triangle is always 180 degrees.

Therefore:

[tex]132^0 + 36^0 + 12^0 = 180^0[/tex]

Step 2: Analyze angle measures

Looking at the triangle, the following are the angle measures:

One angle [tex](132^0)[/tex] is greater than [tex]90^0[/tex].

There are no angles exactly equal to [tex]90^0[/tex].

All other angles [tex](36^0,12^0)[/tex] are less than [tex]90^0[/tex].

Step 3: Triangle classification

Based on the angle measures, the following is evident.

The triangle has one angle greater than [tex]90^0[/tex], so it cannot be acute (where all angles should be less than [tex]90^0[/tex]).

The triangle does not have any angles equal to [tex]90^0[/tex], so it is not right.

Since it has one angle greater than [tex]90^0[/tex], the triangle is classified as obtuse.

Thus the triangle is obtuse and it corresponds to option C.

Answer:

the correct answer is B

Answer:

B. A and C

Step-by-step explanation:

1:3, 1.5:4.5, 2:6, 2.5:7.5, 3:9, 3.5:10.5, 4:12, 4.5:13.5, 5:15, 5.5:16.5, 6:18, 6.5:19.5, 7:21

+.5:+1.5

It will cost a customer $17.75 to buy 5 tulips and 6 roses.

Step-by-step explanation:

Let,

Cost of one tulip = x

Cost of one rose = y

According to given statement;

7x+9y=25.90       Eqn 1

4x+8y=19.80       Eqn 2

Multiplying Eqn 1 by 4

[tex]4(7x+9y=25.90)\\28x+36y=103.60\ \ \ Eqn\ 3[/tex]

Multiplying Eqn 2 by 7

[tex]7(4x+8y=19.80)\\28x+56y=138.60\ \ \ Eqn\ 4\\[/tex]

Subtracting Eqn 3 from Eqn 4

[tex](28x+56y)-(28x+36y)=138.60-103.60\\28x+56y-28x-36y=35\\20y=35[/tex]

Dividing both sides by 20

[tex]\frac{20y}{20}=\frac{35}{20}\\y=1.75[/tex]

Putting y=1.75 in Eqn 1

[tex]7x+9(1.75)=25.90\\7x+15.75=25.90\\7x=25.90-15.75\\7x=10.15[/tex]

Dividing both sides by 7

[tex]\frac{7x}{7}=\frac{10.15}{7}\\x=1.45[/tex]

Cost of 5 tulips and 6 roses = 5x+6y = 5(1.45)+6(1.75) = 7.25+10.50 = $17.75

It will cost a customer $17.75 to buy 5 tulips and 6 roses.

Keywords: linear equation, elimination method

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You can use system of linear equations to find the solution.

The  cost to customer to buy 5 tulips and 6 roses will be $17.75

Cost of buying 5 tulips and 6 roses.

By given data, we have:

7 tulip + 9 roses costs $25.90

or

[tex]7x + 9y = 25.9[/tex]

And

4 tulips + 8 roses costs $19.8

or

[tex]4x + 8y = 19.8[/tex]

Thus, we have two equations.

From equation first, we have:

[tex]7x + 9y = 25.9\\\\ x = \dfrac{25.9-9y}{7} [/tex]

Substituting this value in second equation, we get:

[tex]4(\dfrac{25.9 - 9y}{7}) + 8y = 19.8\\\\ 103.6 - 36y + 56y = 138.6\\ 20y = 138.6 - 103.6\\\\ y = \dfrac{35}{20} = 1.75\\ [/tex]

Thus, we have:

[tex]x = \dfrac{25.9-9y}{7} \\ \\ x = \dfrac{25.9 - 15.75}{7} = 1.45[/tex]

Thus, the price of a tulip = x = $1.45

and the price of a rose = y = $1.75

Now, calculating price of 5 tulips and 6 roses:

[tex]\: \rm Total \: Cost = 5x + 6y = 5 \times 1.45 + 6 \times 1.75 = \$17.75[/tex]

Thus, the cost to a customer who buys 5 tulips and 6 roses would be $17.75

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Answer:

c ≥ 56   is the REQUIRED INEQUALITY.

Step-by-step explanation:

Here, the given  question is INCOMPLETE.

Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items. Choose the inequality and solution to represent the number of cans, c, that Xander must still collect.

Now, here:

The number of cans Xander needed to collect = At least 120

The number of items already collected =  64

c: the number of cans, c, that Xander must still collect.

Now, the number of cans to be collected  - Cans already collected  

=  120 - 64  = 56

So, the number of can he must collect to make a TOTAL OF AT LEAST 120 cans  =  56 cans

⇒ The number of cans to be collected ≥ 56 cans

⇒c ≥ 56 cans

or, c ≥ 56   is the REQUIRED INEQUALITY.

Answer:

c ≥ 56 is the REQUIRED INEQUALITY.

Step-by-step explanation:

Answer:

Step-by-step explanation:

I need pic

The equivalent expression is y = [tex]e^{x log 7}[/tex].

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

[tex]7^x[/tex]

Let y = [tex]7^x[/tex]

Now,

Taking logs on both sides.

log y = log [tex]7^x[/tex]

log y = x log 7

Taking exponent on both sides.

[tex]e^{logy}[/tex] = [tex]e^{x log 7}[/tex]

y = [tex]e^{x log 7}[/tex]

Thus,

The equivalent expression is y = [tex]e^{x log 7}[/tex].

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The complete question is given below:

Answer:

B) x =2 y = 1

Step-by-step explanation:

1.29 % is converted to decimal as 0.0129

Solution:

"Percent" means "per 100" or "over 100"

To convert 1.29% to a decimal rewrite 1.29 percent in terms of per 100 or over 100

Given percentage is 1.29 %

1.29 % = 1.29 over 100

[tex]1.29 \% = \frac{1.29}{100}[/tex]

1.29 over 100 is the same as 1.29 divided by 100

Completing the division we get:

[tex]1.29 \% = \frac{1.29}{100} = 0.0129[/tex]

Thus the given 1.29 % is converted to decimal as 0.0129

Answer:

The right answer is A. 37

Step-by-step explanation:

Let's find the value of:

21 + 4(3² - 5)

21 + 4 * (9 - 5)

21 + 4 * (4)

21 + 16 = 37

The right answer is A. 37

Answer:

I know only number a

Step-by-step explanation:

For number a

x+2=3

Answer:

10 feet

Step-by-step explanation:

Given:

Volume of cube = 1000 cubic feet.

Question asked:

Length of an edge of the cube = ?

Solution:

Volume of cube = [tex]side^{3}[/tex]

[tex]1000=side^{3}[/tex]

By taking cube root both side

[tex]\sqrt[3]{1000} = side\\\sqrt[3]{10\times10\times10} = side[/tex]

[tex]10 = side[/tex]  (took common)

Therefore, length of an edge of the cube is 10 feet.

X=20

Step-by-step explanation:

39.90-50= 10.1

10.1÷0.05=202

X=202 texts

Check work 0.05×202=10.1 + 39.90=50

It would take the kitten 25 days after its birth to triple its weight.

Solution:

kitten weighed 100 grams at birth

And gained 8 grams per day

kitten needed to triple its weigh

Which means, they have to become 3 x 100 = 300 grams

Let "x" be the number of days needed to be 300 grams

Then we can say,

300 grams = 100 grams at birth + 8 grams( number of days)

[tex]300 = 100 + 8x\\\\8x = 300-100\\\\8x = 200\\\\Divide\ both\ sides\ by\ 8\\\\x = 25[/tex]

Thus it would take the kitten 25 days after its birth to triple its weight.

Answer:

h = 2A/b

l = (P/2) - w

Step-by-step explanation:

for equation A

Multiply both sides with 2

Then divide both sides with b which leaves h on one side

for equation P

Divide by 2 on both sides

Then subtract w from both sides which leaves l on one side

The solution to the given expression is log (9) + log (4).

The logarithm function is defined as the inverse of exponential function. If b = e^(a) then a is defined as a = log(b).

The logarithm of the product of two numbers is equal to the sum of their individual logarithms. The logarithmic properties can be written as log(ab) = log(a) + log(b), log(a/b) = log(a) - log(b) and log(aⁿ) = nlog(a).

The given expression is log(9 × 4).

It can be rewritten as,

log(9 × 4)

Use the property of the logarithm log(ab) = log(a) + log(b) to obtain,

log(9 × 4) = log(9) + log(4)

Hence, the given logarithmic expression can be solved as log (9) + log (4).

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Multiply the amount raised by 280%

Rewrite 280% as a decimal by moving the decimal point 2 places to the left

280%. = 2.80

400 x 2.80 = $1120.00

Answers are:

The answer will be greater than $400 because 280 is greater than 100.

(100)(4) = 400, so (280)(4) = the amount of money the carnival raised on Friday.

The carnival raised $1,120 on Friday.

Answer:

B,C,F

Step-by-step explanation:

YOU WELCOMEEEEEEEEEEEEEEE :)

Krystal is correct

We have the following equation:

[tex]y-11=52[/tex]

In order to solve this, we need to follow this step:

Step 1. Add 11 to both sides:

[tex]y-11=52 \\ \\ y-11+11=52+11 \\ \\ y=63[/tex]

So, Krystal is correct

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Answer:

38 to 40.

Step-by-step explanation:

If you round 9.65 to 10, and do the math it would be:

2 x 10 = 20

20 x 2 = 40

When reflecting over y = -x

The x and y values change places and the signs change.

(-2,5) becomes (-5,2)

Answer:

(-5,2)

Step-by-step explanation:

hope this helps

Answer:

Distance = 192 km

Step-by-step explanation:

To calculate the distance, the distance is given by the formula:

s = vt

where s = distance

          v = average speed

          t = time taken to travel

therefore, the distance is given as

s = 24miles/hour× 8 hours

  = 192 miles.

The total distance is 192 miles.

To calculate the average speed on the first trip to the conference, divide the distance by the time like this:

s = vt

v = s/t

  = 192 miles/ 5 hours

  = 38.4 miles per hour

As you can see, the driver drove faster than she did when she was driving in bad weather.