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The category in which the families spend about the same dollar amount each month are food and transport.

A circle graph is used to show information in a circle. The circle is divided into slices which represent a numerical proportion.

Amount spent on food by family A = (14/100) x 5400= $756

Amount spent on food by family B = 16/100) X 4675 = $748

Amount spent on food by family C = (11/100) X6675 = $734.25

Amount spent on transport by family A = (11/100) x 5400= $600.75

Amount spent on transportby family B = 13/100) X 4675 = $607.75

Amount spent ontransport by family C = (9/100) X6675 = $594

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The values of x or the solution of the of provided polynomial equation are x=-2 and x=-8.

The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.

The given polynomial equation in standard form is,

[tex]x^2 +10x +16 = 0[/tex]

Now factor the polynomial.

[tex]x^2 +10x +16 = 0\\(x 2)(x 8) = 0[/tex]

Apply the zero product property and find out the factors as,

[tex]x +2 = 0, x +8 = 0[/tex]

Solve the resulting equations by equating both the factors one by one to the zero and find the roots.

[tex]x +2 = 0\\x=-2\\[/tex]

Similarly, for x+8=0,

[tex]x +8 = 0\\x=-8[/tex]

Thus, the values of x or the roots of the equation are,

[tex]x = -2, x =-8[/tex]

Hence, the values of x or the solution of the of provided polynomial equation are x=-2 and x=-8.

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Answer:

-2 and -8

Step-by-step explanation:

got my answer from the person above.

Answer:

?

Step-by-step explanation:

Answer:

is D

Step-by-step explanation:

correct on edge

Step-by-step explanation:

∠2 and ∠7 are alternate exterior angles so they are equal.

So you can create the equation

40x-48 = 20x+52   Subtract 20x from both sides. Add 48 to both sides.

20x = 100

x = 5

if you need  m∠2 Substtute 5 for x in 20x+52  

20(5) + 52 = 100 +52   m∠2= 152°

m∠7  40(5) - 48 =  200-48  m∠7= 152°

The value of the variable x is given as 8000.

Some of the rules of exponents are as follows,

The product of two exponents having the same power is equal to the power of their base multiplied.

The product of two exponents having the same base is equal to the sum of the powers of different exponents to the same base.

The given exponential expressions are as below,

n⁴ = 20x

And, n³ = x

Then as per the rule of exponent, the following it can be written as,

n³ = x

⇒ n × n³ = n × x

⇒ n⁴ = nx

⇒ 20x = nx

⇒ n = 20

Then, x = 20³ = 8000

Hence, the value of x is found to be 8000.

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Answer:

$136

Step-by-step explanation:

100% - 83% = 17%

the 17% is on props.

so, take 17/100 and multiply with $800, which you will get 136.

so the amount of money spent on props is $136

Answer:

a; 175 centimeters

Step-by-step explanation:

One meter is 100 centimeters

this means that 3.25 meters is essentially just 325 centimeters

if she wants to make 100 name tags she must do 100 times 5 to get how many centimeters of ribbons she needs

100 * 5 = 500

she only has 325 centimeters so you subtract 325 from 500

500 - 325 = 175

Answer:

(x-2)(x-3)

Step-by-step explanation:

x1 = 2

x2 = 3

easy

Answer:

just subtract 38 from 72 and but the answer as x   x:38

Step-by-step explanation:

Answer:

If the temp is higher so is the amount of people on the beach

Step-by-step explanation:

Answer:

[tex] \sqrt{4 ^{2} + 3 ^{2} } [/tex]

=root 25 which is 5

Answer:

25%

Step-by-step explanation:

8 divided by 32

Hope this helps!

If not I am sorry.

Answer:

Step-by-step explanation: 2x+6

Another factor will be x and ( x + 1 )² and the solution will be -1, 0, and 1/2.

In mathematics, every real-world issue may be transformed into an equation, sometimes in the form of a factor, which must then be expanded to get a solution.

Expanded form is the term used in mathematics to refer to the process of expanding a number to convey the value of every digit and place value.

Given,

p(x)=2x⁴ + 3x³ −x one factor is (2x−1)

To find another factor we divide p(x)=2x⁴ + 3x³ −x by (2x−1)

Then we got remainder as 0 and quotient ( x³ + 2x + 1 )

So,

(2x−1) ( x³ + 2x² + x ) = 0

(2x−1) (x) ( x² + 2x + 1) = 0

(2x−1) (x) (x + 1)² = 0

Now the solution to this

(2x−1) = 0 ⇒ x = 1/2

(2x−1) (x) ( x² + 2x + 1) = 0 ⇒ x = 0

And

(x + 1)² = 0 ⇒ x = -1

Hence, another factor will be x and ( x + 1 )² and the solution will be -1, 0, and 1/2.

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Answer:

$45

Step-by-step explanation:

Given the following :

Amount deposited in first year = $150

Interest rate (r) = 2% = 0.02

First year:

Simple Interest = principal * rate * time

= $150 * 0.02 = $3

2nd year:

Principal = $150 * 2 = $300

($300 * 0.02) = $6

3rd year:

Principal = $150 * 3 = $450

($450 * 0.02) = $9

4th year:

Principal = $150 * 4 = $600

(600 * 0.02) = $12

5th year:

Principal = $150 * 5 = $750

($750 * 0.02) = $15

Total interest earned :

$(3 + 6 + 9 + 12 + 15)

= $45

Answer:

Step-by-step explanation:

You have only two parts to consider

2  and

3 + 4

Notice the wording "Sum of" That means there has to be a plus sign somewhere in the answer.

Answer: 3 + 4

Answer:

11.4 cm

Step-by-step explanation:

Using pythagoras theorem,

Answer:

24

Step-by-step explanation:

Answer:

28.018

and that's the answer.

Step-by-step explanation:

0.018 + 31 - 3

31.018 - 3

which gives 28.018 as the final result

Answer:

5 : 3

Step-by-step explanation:

100 paise = 1 rupee

Therefore, the ratio =>

2 rupees : 120 paise

2 : 1.2

10 : 6

5 : 3

Answer:

length is 40 and breadth is 20

Step-by-step explanation:

120 =2( l + b )

120 = 2( 2x +x )

120= 2 x 3x

120 =6x

120/6 = x

20 = x

length=2x = 2 x 20 = 40

breadth= x = 20.

hope it helps u

Answer: 6:45AM

Step-by-step explanation:

Just add AM or PM

Answer: I am adding two positive integers so my answer will be positive

If its 35 + 35 they both are positive hence I am adding two positive integers so my answer will be positive.

Hope I helped

Answer:

I am adding two positive integers so my answer will be positive.

Step-by-step explanation:

Note that;

Positive + Positive = Positive

Positive + Negative = Negative

Negative + Negative = Positive

~Lenvy

Answer:

factor out 5 out of 20x+55

and the answer is 5(4x+11)

Answer:

1800 in^3

Step-by-step explanation:

slope= -2 y-intercept =7

Step-by-step explanation:

y=-2x+7

m=-2 c=7

Answer:

(A) 2÷1/5=10

You start off with 2

It is divided into 10 parts

they all include division

2÷_=10

2÷1/10=20

2÷1/5=10

Step-by-step explanation:

hope this helps :D

The least value plotted on the line plot is 18.0, the greatest value plotted on the line plot is 22.0, and the height of inches that occurs the most often is 19.5 with 3 times.

In a set of data values, the mode is the value that appears the most frequently.

A.) The least value plotted on the plot is the minimum height of the plant Harold, therefore, the least value plotted on the line plot is 18.0.

B.) The greatest value plotted on the line plot is 22.0 is the maximum height of plant Harold, therefore, the greatest value plotted on the line plot is 22.0.

C.) The height of inches that occurs the most often is the mode of all the data points of the height of the plant that is given to us, therefore, the height of inches that occurs the most often is 19.5 with 3 times.

Hence, the least value plotted on the line plot is 18.0, the greatest value plotted on the line plot is 22.0, and the height of inches that occurs the most often is 19.5 with 3 times.

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Answer:

The line plot has 14 dots plotted on it.

The least value plotted on the line plot is 18.0

The greatest value plotted on the line plot is 22.0

The height of 19.5 inches occurs the most often

Step-by-step explanation:

hope this helps :)

Answer:

Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.

[tex]x=\frac{y-1+\sqrt{134^2-2y+1} }{19y}[/tex]

[tex]x=\frac{y-1-\sqrt{134^2-2y+1} }{19y}[/tex]

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Answer:

No they are not equivalent.

Step-by-step explanation:

7x + 5 stays the same. You cannot combine them since they aren't like terms.

12x isnt 7x + 5. Therefore no they are not equivalent.

Answer:

Small flat rate box

Step-by-step explanation:

Since she sells necklaces we can assume that the question is missing spaces and the actual dimensions are 1 3/4inch by 2 1/4 inch by 3/4 inch. This being the case she can use the Small flat rate box from the local post office for her necklaces. This is the smallest flat rate packaging available aside from envelopes, but since the artist needs a 3dimensional box the envelopes would not work. This small flat rate box has the following dimensions  8 11⁄16″ x 5 7⁄16″ x 1 3⁄4″ it also can hold up to 70lbs which far exceeds the weight of the necklaces.

Answer:

7) -4

8) -3

9) 2

10) 3

11) 1

12) 0

Step-by-step explanation:

The form your equations are in is slope intercept form which is the equation...

y = mx + b

m = slope; b = y-intercept

Y-intercept is defined as the point where a line or curve crosses the y-axis of a graph.

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO