Solve the system of linear equations by substitution.
5x+2y=9
x+y= -3

Answer:

1052

Step-by-step explanation:

The two given boxes for reference are presented below.

Since we know the dimensions of the first container, we can calculate its volume.

[tex]V_1= 5 \text{cm} \cdot 4 \text{cm} \cdot 4 \text{cm} = 80 \text{cm}^3[/tex]

The first container held 192 skittles. Using that fact, now that we know the volume of the first box, we can calculate the volume of a single skittle.

[tex]v = \frac{80}{192} = 0.416 \approx 0.42 \text{cm}^3[/tex]

The second container held 258 skittles.

The volume of the second box is:

[tex]V_2 = 12 \text{cm}\cdot 3 \text{cm} \cdot 3 \text{cm} = 108 \text{cm}^3[/tex]

Using this facts, the volume of a single skittle would be

[tex]v = \frac{108}{258} = 0.418 \approx 0.42 \text{cm}^3[/tex]

Therefore,  the volume of  single skittle is around to 0.42 cm³.

A skittle jar is a cylinder. Its volume is calculated by the formula

[tex]V = r^2h \pi[/tex],

where [tex]r[/tex] is the radius and [tex]h[/tex] is the height. From the given data, we have [tex]r = 3.15 \text{cm}[/tex] and [tex]h = 11.5 \text{cm}[/tex]. Hence, the volume of the jar is

[tex]V = 3.5^2 \cdot 11.5 \cdot 3.14 = 442 \text{cm}^3[/tex]

Now, we can determine the number of skittles in the jar. Let [tex]n[/tex] be the number of skittles in the jar. Then,

[tex]n = \frac{\text{volume of the jar}}{\text{volume of a skittle}} = \frac{V}{v} = \frac{442}{0.42} = 1052.38 \approx 1052\\[/tex]

Final answer:

The best estimate for the number of jelly beans in the jar is approximately 1,000 beans, calculated based on linear dimensions and volume estimation.

Explanation:

The best estimate for the number of jelly beans in the jar would be approximately 1,000 beans.

To estimate this, we first look at linear dimensions and consider a rectangular jar. Assuming the jar is about 10 beans deep, 10 beans wide, and 10 beans high, the volume would be around 10 x 10 x 10, giving us ~ 1,000 beans inside.

y=0

y=2x+7

x= 7/2 =3.5

- 2×3.5+7 =0

0=- 2×3.5+7

y. x

Answer: ( 12 , 9 )

Step-by-step explanation:

The formula for finding the coordinate of points when a line is externally divided in a given ratio is given by :

x = [tex]\frac{p x_{2}+q x_{1}}{p+q}[/tex]

y = [tex]\frac{p y_{2}+q y_{1}}{p+q}[/tex]

From the question

[tex]x_{1}[/tex] = 2

[tex]x_{2}[/tex] = ?

x = 4

[tex]y_{1}[/tex] = -1

[tex]y_{2}[/tex] = ?

y = 1

p = 1

q = 4

substituting the values into the formula ,we have

x = [tex]\frac{p x_{2}+q x_{1}}{p+q}[/tex]

4 = [tex]\frac{1(x_{2})+4(2) }{1+4}[/tex]

4 = [tex]\frac{x_{2}+8}{5}[/tex]

[tex]x_{2}[/tex] + 8 = 20

[tex]x_{2}[/tex] = 12

Also

y = [tex]\frac{p y_{2}+q y_{1}}{p+q}[/tex]

1 = [tex]\frac{y_{2}+4(-1)}{5}[/tex]

[tex]y_{2}[/tex] - 4 = 5

[tex]y_{2}[/tex] = 9

Therefore , the end of the stencil is located at point ( 12 , 9 )

Answer:

the degree of a polynomial is the highest exponent in a term

thus it'd be 7 cuz

2x^3y^4

4 + 3 = 7

Step-by-step explanation:

I think thats write, not completly sure if its wrong lmk

Answer:

3/5

Step-by-step explanation:

60/100 = 6/10 ( given by 10th table) = 3/5  (give by 2nd table)

Answer:

The correct answer is b = 6 √3 units

Step-by-step explanation:

Let's recall that we can use the following ratio for the sides of a 90 - 60 - 30 triangle:

1 : √3 : 2, where 2 is the hypotenuse.

Upon saying that, we have that in our triangle:

Hypotenuse = 12 units

a = 6 units

b = 6 √3 units

The correct answer is b = 6 √3 units

Answer:

b = 6

Step-by-step explanation:

The above questions is trigonometry where hypothenus = 12; opposite = b; and adjacent = a. Applying SOHCAHTOA principle, the appropriate is

Sine = opposite/hypothesis, since we are to find the value of b. Thus,

Sine 30 = b/12

0.5 =b/12

By cross multiplying,

b = 0.5 × 12

b = 6

Answer:

B.(-1,2)

Step-by-step explanation:

In a function, there can not be two different values of y corresponding to the same value of x.

See the graph attached.

Here, the points on the graph are (1,2), (2,-3), (-2,-2) and (-3,1).

If we consider point (-2,2) then there will be two points corresponding to the same x value i.e. (-2,-2) and (-2,2).

Similarly, if we consider the point (2,-2) or (2.-1) then also there becomes more than one values of y for a single value of x i.e. x = 2.

So, if we consider the ordered pair (-1,2) then only the graph still represents a function. (Answer)

Answer:

B.(-1,2)

Step-by-step explanation:

Answer:

5x^2-14x-4

Step-by-step explanation:

(4x^2-9x-1)+(x^2-5x-3)

4x^2+x^2-9x+(-5x)-1+(-3)

5x^2-9x-5x-1-3

5x^2-14x-4

170 ml of 20 % fungicide solution is mixed with 30 ml of 60% fungicide solution  to create 200 milliliters of a 26% solution

Solution:

The final solution has 200 ml

Let "x" be the ml of 20 % fungicide solution

Then, (200 - x) is the ml of 60% fungicide solution

Then according to question, we can say,

"x" ml of 20 % fungicide solution is mixed with (200 - x) ml of 60% fungicide solution to get 200 ml of 26 % solution

We can frame a equation as:

[tex]x \times 20 \% + (200-x) \times 60 \% = 200 \times 26 \%\\\\\text{Solve the equation for "x" }\\\\x \times \frac{20}{100} + (200-x) \times \frac{60}{100} = 200 \times \frac{26}{100}\\\\\text{Simplify the above expression}\\\\x \times 0.2 + (200-x) \times 0.6 = 26 \times 2\\\\0.2x + 120 - 0.6x = 52\\\\-0.4x = 52 - 120\\\\-0.4x = -68\\\\x = 170[/tex]

Thus 170 ml of 20 % fungicide solution is used

Then , (200 - x) = 200 - 170 = 30 ml of 60% fungicide solution is used

James needs to mix 160 milliliters of the 20% solution with 40 milliliters of the 60% solution, in order to achieve a 26% solution in a total volume of 200 milliliters.

To solve the problem, set up two equations based on the total volume and the percentage of the fungicide.

Solving these two equations simultaneously, we get x = 160 milliliters and y = 40 milliliters.

Therefore, James needs to mix 160 milliliters of 20% fungicide solution and 40 milliliters of 60% fungicide solution to get a 26% solution of 200 milliliters.

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Answer:

Step-by-step explanation:

0.75d + 1.25d.......for 20 days

0.75(20) + 1.25(20) = 15 + 25 = 40 hrs <===

The number of hours Jin reads in 20 days is 39.8 hours.

The expression for the given situation is 0.75d + 1.24d.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

In the given expression 0.75d + 1.24d, d is number of days.

Substitute d=20 in 0.75d + 1.24d, we get

0.75(20) + 1.24(20)

= 15+24.8

= 39.8 hours

Hence, the number of hours Jin reads in 20 days is 39.8 hours.

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Answer: 5

Step-by-step explanation:

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Answer:

In the given equation : y= 128-4x (select the coordinate and plug in the x and y)

                                       y= 128-4(0)

                                       y= 128-0

                                       y= 128

Therefore, the value for y is 128

Answer:

A.54,000,000

Step-by-step explanation:

apexs

Answer:

885

Step-by-step explanation:

Given:  Amount available in the cash register= $ 125.50.

            Every item is just priced at $1.00

            Total amount of money at the end of day= $1085.60

            Sales tax rate= 8.5%

First finding total revenue generated at the end of day,

Total revenue at the end of day= [tex]Total\ cash\ at\ the\ end\ of\ day - Cash\ available\ at\ the\ beginning\ of\ day[/tex]

∴ Total revenue at the end of day= [tex]1085.6- 125.5= \$ 960.1[/tex]

Lets assume total number of item sold be "x".

Now, forming an equation to determine the total revenue generated at the end of day.

We know, Total revenue is the number of item sold at $1 and sales tax revenue generated on the number of item sold.

⇒ [tex]\$1 \times x + \frac{8.5}{100} \times x= \$ 960.1[/tex]

⇒[tex]1x+0.085x= 960.1[/tex]

⇒ [tex]1.085x= 960.1[/tex]

dividing both side by 1.085

⇒[tex]x= \frac{960.1}{1.085}[/tex]

∴ x= [tex]884.884[/tex] [tex]\approx 885[/tex]

Hence, total number item sold in the day is 885

Answer:13.7 degrees

Step-by-step explanation:

a^2+b^2=c^2

15^2-6^2=189

[tex]\sqrt{189\\[/tex]

13.7 degrees

Answer:

5 1/3 x 2 3/4= 3/4 5 x 2 = 10

Step-by-step explanation:

Multiply fractions 1/3 x 3/4= 3/4

Answer:

there are 6 hundredths

Step-by-step explanation:

the 6 is in the hundredths decimal place so the answer would be 6

Answer:

53926

Step-by-step explanation:

539.26x100=53926

Answer:

The correct answer is D. 2.11

Correct statement and question:

What is the simplified value of the expression below rounded to the nearest hundredth?

(3.5x2+9)/(10.4-1.4x2)

Source: Previous question that can be found at brainly

Step-by-step explanation:

Let's solve and simplify, this way:

(3.5 x 2 + 9)/(10.4 - 1.4 x 2)

=(7 + 9)/(10.4 - 2.8)

= 16/7.6

= 2.11 (Rounding to the next hundredth)

The correct answer is D. 2.11

Answer:

its d

Step-by-step explanation:

Answer: A. would give the same result as the blank space as generally, when you think the answer is A. you should double check that as teachers know that students will always guess A in a pinch.

Step-by-step explanation:

To use the product of powers rule, the powers must have the same base. In this expression, the bases are 3 and 2, which are different, so the rule does not apply.

Answer:

The equation of the line in point slope form is equal to

[tex]y+2=(x+2)[/tex]

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Find the slope

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have

(-2,-2) and (2,2)

substitute the values

[tex]m=\frac{2+2}{2+2}=1[/tex]

step 2

Find the equation of the line in point slope form

[tex]y-y1=m(x-x1)[/tex]

we have

[tex]m=1\\(x1,y1)=(-2,-2)[/tex]

substitute the values in the formula

[tex]y-(-2)=(1)(x-(-2))[/tex]

[tex]y+2=(x+2)[/tex]

Answer:

3,400,000

Step-by-step explanation:

refer to attached for reference

in our case, the digit in the hundred thousands place is the number 4.

How we round this digit depends on the digit directly to the right of it (i.e the ten-thousands place).

If the digit to the right is less than 5, then leave the digit in the hundred thousands place the same and make everything else to the right zeros.

if the digit to the right is 5 or greater, then increase the digit in the hundred thousands place by 1 and then make everything else to the right zeros.

in our case, the digit to the right of the hundred thousands place is the number 2, this is less than 5, so we leave 4 the same and make everything esle to the right zero.

i.e. 3,400,000

3,425,645 rounded to the nearest hundred thousand is 3,400,000. The rounding is based on the digit in the ten thousand's place, which is 4 in this case, so we round down.

To round the number 3,425,645 to the nearest hundred thousand, we look at the ten thousand's place which is 2. Since this digit is less than 5, we round down the hundred thousand's place. Therefore, 3,425,645 rounded to the nearest hundred thousand is 3,400,000.

When rounding to the nearest hundred thousand, the digit in the hundred thousand's place becomes the focus. If the digit in the ten thousand's place (to the right of the hundred thousand's place) is 4 or less, the hundred thousand's digit remains the same and all subsequent digits become zero. If the ten thousand's place is 5 or more, the hundred thousand's digit is increased by one, and again, all digits to the right are changed to zero.

In this example, the hundred thousand's digit is 3 and the ten thousand's digit is 4, which tells us to keep the hundred thousand's place as it is and replace the subsequent digits with zeros. This gives us 3,400,000 as the rounded number.

there is 5 roots  hope it helps

Answer:

The point of concurrency of the angle bisectors of a triangle is inside the triangle.

Step-by-step explanation:

Considering the triangle ΔABC as shown in attached figure.

As it is clear that

As the triangle's incenter is always located inside the triangle, so we can conclude that the point of concurrency of the angle bisectors of a triangle is inside the triangle.

Therefore, the point of concurrency of the angle bisectors of a triangle is inside the triangle

Please check the attached figure below.

Keywords: angle bisectors of a triangle, point of concurrency

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Answer:

Factoring a polynomial involves writing it as a product of two or more polynomials. It reverses the process of polynomial multiplication.

Step-by-step explanation:

Factoring a polynomial is the reverse of multiplying two polynomials and involves reversing the distributive law, returning an expression to its original factors or multiples.

Factoring a polynomial reverses the process of multiplying two polynomials. When you factor a polynomial, you are essentially reversing the distributive law and turning an expression back into its factors or multiples. An expression is a mathematical phrase that can include numbers, variables (abbreviated as var), and the product or quotient of these, all separated by plus or minus signs. Factoring out common components helps to simplify an expression, just as using factors of ten can help to assess differences and cancel out units in algebra.

Factoring polynomials is a crucial part of algebraic manipulation, allowing us to find expressions that, when evaluated, produce the same value. This operation is important in solving equations and can also reveal interesting properties of numbers, especially within the complex number system. For example, second-order polynomials may have two roots and can be factored, such as x² + 1 which can be factored into (x - i)(x + i), where i is the imaginary unit.

Answer:

80 inches wide

Step-by-step explanation:

3 inches = 20 feet. 12/3=4. 4*20=80 inches

[tex]\bf \stackrel{\textit{geometric mean of 2 and 135}}{\cfrac{2}{x}=\cfrac{x}{135}\implies 270 = x^2}\implies \sqrt{270}=x[/tex]

Answer:

8+b=20

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

15 / 37.5% = 40