A yard has a perimeter of 190 feet. If four times the length of the yard equals 15 times the width, what are its dimensions

Answer:

27 m³

Step-by-step explanation:

Formula we use,

→ V = a³

Let's solve the problem,

→ V = a³

→ V = 3³

→ [ V = 27 m³ ]

Hence, it occupies 27 m³.

From the analysis of the above math, the amount she invested in the CD account is 5,000. See the analysis below.

Let A be the amount invested in the CD.

Let B be the amount invested in the savings bond.

A + B = 15, 000

.04A + .07B = 900

Multiply the first equation by -.04 and add it to the second equation to get rid of the A term.

-.04A-.04B = -600  add this equation to the second equation.

.03B = 300  multiplying by 100.  3B = 30,000

dividing by 3 on both sides: B = 10,000.  So A = 5,000

So she invested 5,000 in the CD account

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Answer:

-35

Step-by-step explanation:

Question =7-24÷8×4+6

=7-192÷4+6

=7-49+6

=-41+6

=-35

Therefore,right answer is (-35)

PLEASE MARK ME AS THE BRAINIEST.

81 is equivalent to 3^4

What Is the Power of a Number?

The power of a number stands for how many multiples of the number there are. The power of a number is represented by something called an exponent

When a number is "raised to the second power," it means that the number is multiplied together twice, for example. When a number is "raised to the fifth power," it means that it is multiplied together five times.

we have to solve 3^4

here 3 raised to the fourth power

then 3 is multiplied together 4 times

3*3*3*3

81

Hence ,81 is equivalent tp 3^4

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Answer:

Step-by-step explanation:

One

23 + 52 = 75    This can be done using columns

2  3

5  2      No carries Add.

7   5

Two

72 - 33 = 39

7    2

3    3     You have to borrow a ten from the 7 to make this work

3   9

Three

82 + sqrt(100)

sqrt(100) = 10

82 + 10 = 92

Answer:

A.77

B.-17

C.79

D.832

E.0.07056

Step-by-step explanation:

A.=8×10-3

=80-3

=77

B.=-1.4×10-3

=-14-3

=-17

C.=8×10-1

=80-1

=79

D.=8×104

=832

E.=0.00056+(7×10^-2)

=0.00056+0.07

=0.07056

Answer:

182.5

Step-by-step explanation:

182.5

steps

623420÷3416=

182.5

Yes the organizer will fit. See the explanation of the word problem below.

Because 3/4  = 6/8,

69 6/8 is larger than 69 1/8 by 5/8".

That is 6 eighths minus 1 eighth is 5 eighths).

Hence, we may disregard the 69 inches because there is no difference in total inches.

The only distinction is in fractions of an inch.

Hence the organizer will be able to fit inside the closet.

A word problem in mathematics is a math question expressed in one or more sentences that demands students to apply their arithmetic skills to a'real-life' setting.

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To stay within budget, she must use 3.9 gigabytes.

Giving the following information:

Under her cell phone plan, Sofia pays a flat cost of $54.50 per month and $5 per gigabyte. She wants to keep her bill at $ 74 per month.

First, we need to establish the total cost formula:

Total cost= 54.5 + 5*x

x= number of gigabytes

Now, we isolate x:

74= 54.5 + 5x

19.5/5= x

3.9= x

To stay within budget, she must use 3.9 gigabytes

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Answer:

Im not pretty sure but i think thats the answer ^^

Answer: $48.17

Step-by-step explanation:$148.68-$24.32=  $124.36

$124.36-$37.53=  $86.83

$135 -$86.83=$48.17

So he needs forty-eight dollars and 17 cents.                                            

Answer: Sometimes true

Step-by-step explanation:

This statement is sometimes true. If three planes intersect, then their intersection can be a line or a point.

The total number of students which are there in the sporting events are 87.

The total number of mini foam fingers which the sporting event coordinator has is 200. Since he gives 2 foam fingers to each student present in the event therefore each student has 1 pair of mini foam fingers.

So, in total there are 200/2 = 100 pairs of mini foam fingers.

The total number of mini foam fingers left after distribution is equal to 26.

So total pairs of mini foam fingers left = 26/2 = 13

Therefore, the number of students which are present in attendance is given by:

Total pairs of foam fingers - total pairs of foam fingers left

=> 100-13 = 87

Therefore, total number of students in attendance are 87.

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Answer:

45%

Step-by-step explanation:

1,450 - 1,000 = 450

the 450 becomes 0.45

to make 0.45 a percent, we multiply it by 100

0.45 x 100 = 45

45%

A balanced chemical equation for this reaction  is given as

NO2(g)+NO3(g)→N2O5(g)

This is further explained below.

Generally, A chemical reaction occurs that takes place when two or more molecules contact with the appropriate orientation and sufficient force to generate a new product.

This process is referred to as a chemical reaction. During this procedure, atomic bonds are both broken and formed in the course of the operation.

Synthesis, decomposition, from another, and double displacement reactions are the four primary categories of chemical reactions. Synthesis is the process of creating new molecules from existing ones.

In conclusion, A balanced chemical equation for this reaction  is given as

NO2(g)+NO3(g)→N2O5(g)

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In order for Abraham to receive an A, he will need to earn a total of 1.5 points, which is the rational number that may be used to represent that amount.

It is important to keep in mind that a number is considered rational if it can be expressed in the form of a fraction.

It is possible when decimals and numbers have worked effectively.

In light of the fact that Abraham must get a grade of A– in mathematics in order to achieve an A, the rational number that can be used to symbolize the number of points that Abraham must earn in order to get an A will be the number 1.5.

Where can I find out more about rational numbers

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Answer: .[tex]306^{-3}[/tex]

Step-by-step explanation:

Answer: +6.03E-3

Step-by-step explanation:

[tex]0.00603=6.03*10^{-3}[/tex]

6.03*10⁻³=+6.03E-3

Answer:

The answer is 2, and thanks for asking my day's good :D
How's your day?

Step-by-step explanation:

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]2x-y=6\implies -y=-2x+6\implies y=\stackrel{\stackrel{m}{\downarrow }}{2} x-6\leftarrow \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so we're really looking for the equation of a line whose slope is 2 and it passes through (-4 , -6)

[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{-6})\hspace{10em} \stackrel{slope}{m} ~=~ 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{ 2}(x-\stackrel{x_1}{(-4)}) \implies y +6= 2 (x +4) \\\\\\ y+6=2x+8\implies y=2x+2[/tex]

Yes Jake is correct we the scales are accurately represented.

From the information, the original scale factor for a scale drawing of a square swimming pool is 1/90, and the length of the original drawing is measured to be 8 inches.

Therefore, the original length will be:

= 8 ÷ 1/90

= 8 × 90

= 720 inches

Therefore, Jack is correct.

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Step-by-step explanation:

16.80 - 20% of 16.80 = 13.44

you paid 13.44$

Answer:

=13.44

Step-by-step explanation:

0.20×16.80=3.36

16.80-3.36=13.44

If you had to drive for more than 300 miles for the first day you need to stop for gas fill up.

Unitary method is a mathematical tool for finding the value of single unit then deriving the given units according to the question.

According to the given question your car's gas tank holds 13 gallons, and you expect to get about 25 miles per gallon.

Given that you never want to run out of gas to not face this issue you always keep 1 gallon of gas in the tank.

So when you fill your tank completely you fill for 12 gallons of gas because 1 gallon is already there.

Also given that the car can go 25 miles per gallon.

So, for 12 gallons of gas you can go (25 × 12 ) miles which is

= 300 miles.

If you had to drive for more than 300 miles then you need to stop for gas in first day's drive.

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Answer:1.c 2.b 3.a

Step-by-step explanation:

Answer:

sqrt of 49 is simplified as 7 so its a rational that can be put in all the rows

Step-by-step explanation:

Rational numbers: -1.3, 2.7777.., 25/2 also known as 12.5, O

Integers: sqrt of 49 also known as 7, 0

Whole numbers: sqrt of 49 also known as 7, 0

Natural numbers: sqrt of 49 also known as 7, 0

Irrational numbers: sqrt of 2, Pi,

Answer:

$6.00

Step-by-step explanation:

To solve this problem, we have to construct two separate equations for each family, and then use any of the methods for solving simultaneous equations.

Let's consider h to represent the cost of 1 hot dog, and w to mean the cost of 1 water bottle.

• For the first family:

[tex]2h + 3w = 18[/tex]

We can rearrange the equation to make w the subject:

⇒ [tex]3w = 18 - 2h[/tex]

⇒ [tex]w = \frac{18 - 2h}{3}[/tex]

• For the second family:

[tex]4h + 2w = 28[/tex]

Since we have previously obtained an expression for w in terms of h, we can substitute that expression for w in the above equation, and then solve for h:

⇒ [tex]4h + 2(\frac{18 - 2h}{3}) = 28[/tex]

⇒ [tex]4h + \frac{36 - 4h}{3} = 28[/tex]

⇒ [tex]12h + 36 - 4h = 84[/tex]      [Multiplying both sides of the equation by 3]

⇒ [tex]8h + 36 = 84[/tex]

⇒ [tex]8h = 48[/tex]

⇒ [tex]h = \bf 6[/tex]

∴ The price of one hot dog is $6.00.

The cost of one hot dog at an amusement park is $6.

A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x - 2 depicts a linear function because it is a straight line in the coordinate plane.

Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.

An example of a non-linear function is a quadratic function.

Let, the cost of hot dogs is 'x' and the cost of bottles of water be 'y'.

From the given information the two linear equations can be formed as,

2x + 3y = 18...(i) and 4x + 2y = 28...(ii)

Multiplying equation (i) by 2 and subtracting form (ii) we have,

   4x + 2y = 28.

(-) 4x + 6y = 36

_____________

         - 4y = - 8.

             y = 2.

And hence x is equal to, 4x + 4 = 28 ⇒ 4x = 24 ⇒ x = 6.

So, The cost of one hog dog is $6.

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Answer:

7.538461538

Step-by-step explanation:

The measure of <ABD, <DBC and <ABC are 67, 67 and 134 degrees respectively.

Angles are bisected if they are divided into two equal parts.

If the angle BC bisects <ABC, hence <ABD and <DBC are equal, hence;

2(11x + 23) = <ABC

Given the following parameters

<ABC = 25x + 34

2(11x + 23) = 25x + 34

Expand

22x +46 = 25x + 34

22x-25x = 34 - 46

-3x = -12

x = 4

Determine the measure of the angles

<ABD = 11x + 23 = <DBC
<ABD = 11(4) + 23

<ABD = 44 + 23

<ABD = 67 degrees

<ABC = 2(67)

<ABC = 134 degrees

Hence the measure of <ABD, <DBC and <ABC are 67, 67 and 134 degrees respectively.

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The values of a and b of the given matrix multiplication is gotten as; a = 2 and b = 3

To multiply matrix, we follow patterns depending on the type of matrix. Thus, from the given matrix, we can say that;

(1 * -1) + (0 * -1) + (1 * 3) = a

-1 + 0 + 3 = a

a = 2

Similarly;

(1 * -1) + (0 * 2) + (1 * 4) = b

-1 + 0 + 4 = b

b = 3

Thus, the values of a and b of the given matrix multiplication is gotten as; a = 2 and b = 3

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