Zendaya runs a farm stand that sells blueberries and grapes. Each pound of blueberries sells for $2.50 and each pound of grapes sells for $1.25. Zendaya made $55 from selling a total of 33 pounds of blueberries and grapes. Write a system of equations that could be used to determine the number of pounds of blueberries sold and the number of pounds of grapes sold. Define the variables that you use to write the system.

Answer: Table A

Step-by-step explanation:

The table must have a constant rate of change on both sides. Table B goes up by 2, then 2, then 3, which breaks the pattern (this is in the y-axis).

Table C goes up by 3, then 4, then 4, which is ALSO an inconsistent pattern (in the x-axis). Table D goes up by 2, then 1, then 2, which is also inconsistent (y-axis).

This leaves Table A, which has a consistent pattern on both sides.

7/15 rows are left after crows ate some rows.

Total no. of rows he planted = 1 2/3

                                               = 1 + 2/3

                                               = (3 + 2)/3

                                               = 5/3

No. of rows crows ate = 1 1/5

                                     = 1 + 1/5

                                     = (5 + 1)/5

                                     = 6/5

No. of rows left = 5/3 - 6/5

                         = (25 - 18)/15

                         = 7/15

Hence, no. of rows left is 7/15.

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If the length of HJ is 7 unit then the length of EI is 14 unit.

A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.

We are given a circle with center H.

Therefore, the radius of the circle is found as; HJ

Then the Diameter is the line from one point in the circle to the other point through the center of the circle.

Diameter of the circle = EI

Since we know that One of the theorems of a circle states that the angles in the same segments or on the same chord are equal.

Then the name of the chord is FG.

If the length of HJ is 7 unit then the length of EI is;

EI = 2 HJ

EI = 14 unit.

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Answer:

Yes, this triangular table is a right triangle. It is a 3, 4, 5 Pythagorean triple.

What is a right triangle?

A right triangle is a triangle in which one of the angles is 90 degrees, making the other two angles acute angles.

What is a Pythagorean triple?

A Pythagorean triple is a set of three whole numbers, a < b < c, for which,

a^2 + b^2 = c^2

Answer:

yes it is a right triangle

Step-by-step explanation:

to find out we can use the Pythagorean theorem

a^2+b^2=c^2

We can use the shorter angles for a and b and see if this equals 5

3^2+4^2=c^2

9+16=c^2

25=c^2

Square root both sides

5=c

This triangle is a right triangle

Hopes this helps please mark brainliest

Answer:$16

$6 + $2(t)

Step-by-step explanation:

$6 + $2(5)

Audrey is driving to a concert and needs to pay for parking. There is an automatic fee of $6 just to enter the parking lot, and when she leaves the lot, she will have to pay an additional $2 for every hour she had her car in the lot. How much total money would Audrey have to pay for parking if she left her car in the lot for 5 hours? How much would Audrey have to pay if she left her car in the lot for tt hours?

Cost of parking for 5 hours:

Cost of parking for tt hours:

Answer:

2x + y = 3 becomes y = 3 - 2x

-2x + y = -1 becomes y = -1 + 2x

2x + y = 5 becomes y = 5 - 2x

Parallel: 2x + y = 5

Perpendicular: 0.5x + 7

neither parallel nor perpendicular to line a: -2x + y = -1

Answer:

.......

.......

Step-by-step explanation:

.....

.....

.....

....

....

Answer:

9.995%

Step-by-step explanation:

principal-10760

n(time)-17

rate-?

amount-54343

[tex]a = p(1 + \frac{r}{100} ) {}^{n} [/tex]

54343=10760(1+(r/100))^17

5.05=(1+(r/100))^17

1.09995=1+(r/100)

0.09995=r/100

r=9.995%

Answer: a,c

Step-by-step explanation:

For the given points S(2,-9), 7(6, -6), U(9,-7), and V (6, y), the value of y such that ST is perpendicular to UV is -3.

What is the slope of a line?

A line's slope, also known as its gradient, is defined as the value of a line's steepness or direction in a coordinate plane. Slope can be calculated using various methods given a line equation or the coordinates of points on a straight line.

If P(a, b) and Q(c, d) are two given points on a coordinate plane, then the slope of line PQ can be computed using the formula

                        [tex]Slope(m) = \frac{d-b}{c-a}[/tex]

The slope of two perpendicular lines:

If two perpendicular lines are given then the product of their slopes will be equal to -1.

The given points are S(2,-9), 7(6, -6), U(9,-7), and V (6, y).

The slope of line ST   [tex]=\frac{-6-(-9)}{6-2}[/tex]

                                    [tex]= \frac{-6+9}{4}\\ = \frac{3}{4}[/tex]----------------(I)

Now, finding the slope of line UV,

The slope of line UV [tex]=\frac{y-(-7)}{6-9}[/tex]

                                  [tex]=\frac{y+7}{-3}[/tex]  ---------------(II)

Now, by using the property of slopes of two perpendicular lines, we can write

    Slope of line ST × Slope of line UV = -1

                                [tex]\frac{3}{4} *\frac{y+7}{-3}=-1 \\y+7=4\\y=4-7\\y=-3[/tex]

Hence, For the given points S(2,-9), 7(6, -6), U(9,-7), and V (6, y), the value of y such that ST is perpendicular to UV is -3.

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An exponential function approaching a value of 10 as x approaches infinity is given as follows:

[tex]y = (0.25)^x + 10[/tex].

The general model for an exponential function is presented as follows:

[tex]y = ab^x + c[/tex]

In which the variables of the function are listed as follows:

In this problem, the function approaches value of 10 as x approaches infinity, meaning that the asymptote is of 10, hence:

c = 10.

The above condition is also only possible if the exponential function is decreasing, that is parameter b is between 0 and 1, hence one possible function is:

[tex]y = (0.25)^x + 10[/tex]

The restriction for parameter b is because if the function was increasing, that is, b > 1, it would approach infinity as x approaches infinity.

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Answer: 15 feet

Step-by-step explanation:

180 inch = 15 feet

(D) The range is the output.

The domain of a function is the set of values that we are allowed to enter into our function. The x values for a function like f make up this set (x).

The collection of values that a function can take on is known as its range. The values that the function outputs when we enter an x value are in this set. They are the y values.

The sets of all the x-coordinates and all the y-coordinates of ordered pairs, respectively, are the domain and range of a relation. The domain and range of a function are the components of a function.

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Let W=width of wing

The ratio (Length/Width) is given and is constant, so you can set ratios equal (this is a proportion):

      Length / Width = 8/1 = 32.3/W

 (1) cross-multiply, (2) invert both sides, multiply both sides by one of the denominators ... any legal operation of algebra in order to isolate W.

multiply both sides by (W/8):

                      W = 32.3/8 = 4.04

Answer:

when x = 3

8(3)

8*3=24

all you have to do is to substitute x into the expression

The total pay change for each issue of Math is Fun sold by Carlos is $110. If he doesn't sell copies of Math is Fun, Carlos's gross wages are $2500 for him.

Given that:

x represents the number of copies of Math is Fun he sells. Suppose that x and y are related by the equation 2500 + 110x = y.

Equation: The equation is the values of two expressions that are equal.

Here,

For equation,

y = 2500 + 110x

The change in Carlos's total pay for each copy of Math is Fun he sells,

Differentiate the equation,

dy/dx = 110

The total pay for each copy of Math is Fun he sells is $110.

Carlos's total pay if he doesn't sell any copies of Math is Fun,

x = 0

y = 2500

Carlos's total pay if he doesn't sell any copies of Math is Fun is $2500.

Thus, the change in Carlos's total pay for each copy of Math is Fun he sells is $110. Carlos's total pay if he doesn't sell any copies of Math is Fun is  $2500.

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ΔRNP and ΔSOP are congruent by the ASA rule.

What is Angle-Side-Angle (ASA) Rule?

If two angles and the included side of one triangle equal two angles and the included side of another, the triangles are congruent.

In the given figure,

For ΔRNP and ΔSOP,

                    ∠NRP ≅ ∠OSP ----- (Alternate angles)

                    ∠OPS ≅ ∠RPN ----- (Opposite angles)

                    Side PR ≅ Side PS

Hence, ΔRNP and ΔSOP are congruent by the ASA rule.

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The radius is the distance from the center to a point on a circle.

The diameter is twice the radius.

1. 3 yd, 6 yd

2. 46 in, 92 in

3. 23 ft, 46 ft

The formulas give the standard deviation will be sₓ=√(0-1)²+(0-1)²+(1-1)²+(3-1)²/4.Option C is correct.

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]

σ is the standard deviation

xi is each value from the data set

X is the mean of the data set

n is the number of observations in the data set.

It is given that, Harry asked a sample of 4 people how many siblings they had. Here are their responses:0,0,1,3  The mean is 1 sibling.

[tex]\bar x =1 \\\\ n =4[/tex]

The formulas give the standard deviation as,

[tex]\rm s_x = \sqrt{\frac{(x_1-\bar x)^2+(x_2-\bar x)^2 +(x_3- \bar x)^2 }{n-1} } \\\\ s_x = \sqrt{\frac{(0- 1)^2+(0-1)^2 +(1- 1)^2 + (3-1)^2}{3} }[/tex]

Thus, the formulas give the standard deviation will be sₓ=√(0-1)²+(0-1)²+(1-1)²+(3-1)²/4.Option C is correct.

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Answer:

y=-10-7

Step-by-step explanation:

3=-10(-1)+5/4

3=10+5/4

3=11 1/4

11 1/4-3=8 1/4

5/4-33/4=-28/4=-7

3=-10(-1)-7

3=10-7

3=3

Answer:

y=-10x-7

Step-by-step explanation:

3=-10(-1)+5/4

3=10+5/4

3=11 1/4

11 1/4-3=8 1/4

5/4-33/4=-28/4=-7

3=-10(-1)-7

3=10-7

3=3

Jane scored 27 out of 42 on her Maths test and 39 out of 61 in a Science test, the percentage in Maths and Science is 64.2% and 63.9% respectively.

Percent derived from the Latin word, per centum which means “by the hundred.”

Percentage is the number or ratio which is expressed in the fraction of 100 it indicate the hundredth part of any quantity. It is denoted as "%". It is used to compare the first quantity against the second. It can be calculated by dividing the value with the total value and multiplied by 100.

The formula used to calculate percentage is= (value/total value)×100%.

For given information,

Percentage for Maths test = (27/42)*100 = 64.2%

Percentage for Science test= (39/61)*100 = 63.9%

Thus, Jane scored 27 out of 42 on her Maths test and 39 out of 61 in a Science test, the percentage in Maths and Science is 64.2% and 63.9% respectively.

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Answer:

Red:  1/2

White:  1/6

Blue:  1/3

Step-by-step explanation:

You take and find the total number of marbles, which is 18. You then take the number of each different color and make that number your numerator, and 18 your denominator and reduce.

Red: 9/18 reduces to 1/2

White: 3/18 reduces to 1/6

Blue: 6/18 reduces to 1/3

Answer:

  B by a factor of about 5.208

Step-by-step explanation:

Given two right square pyramids (A and B) with perimeters 396 m and 496 m, and corresponding heights of 72 m and 239 m, you want to which has the greater volume and by what factor.

The volume of a right square pyramid is proportional to its height and to the square of its perimeter.

Pyramid B has both a longer perimeter and a greater height, so Pyramid B has the greater volume.

The constant of proportionality between the dimensions and the volume is the same for both pyramids, so the ratio of their volumes is ...

  Vb/Va = ((Pb)²Hb)/((Pa)²Ha) = (496²·239)/(396²·72) ≈ 5.208

Pyramid B has about 5.2 times the volume of Pyramid A.

__

Additional comment

The volume of a right square pyramid is given by ...

  V = 1/3s²h . . . . . where s is the side length and h is the height

  V = 1/3(P/4)²h = (1/48)P²h . . . . where P is the perimeter of the base

Considering the linear function, the features are given as follows:

9. y-intercept: (0,2).

10. Equation: y = 5x/6 + 2.

11. y when x = 12: y = 12.

12. x when y = 4: x = 2.4.

13. y when x = -6: y = -3.

The slope-intercept representation of a linear function is given by the rule shown as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

In this problem, the function crosses the y-axis at y = 2, hence the intercept is:

b = 2.

When x increases by six, y increases by five, hence the slope is:

m = 5/6.

Thus the equation is:

y = 5x/6 + 2.

The numeric values for the function are given as follows:

The solution when y = 4 is given as follows:

4 = 5x/6 + 2.

5x/6 = 2

5x = 12

x = 12/5

x = 2.4.

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Answer:

c

Step-by-step explanation:

i did the question

Answer:

I'm pretty sure it's C... rational number because 0.3% can be written like a fraction!

Step-by-step explanation:

I'm sure that's the answer hope it helps!

Good luck!!!

Answer:

1.23457

Step-by-step explanation:

You count 5 places from the decimal point. Then since 6 is greater than 5 you round up

Answer:  We will never reach a sum of 2

We get closer and closer to 2, but never actually reach this exact value.

==============================================================

Explanation:

The sequence

1, 1/2, 1/4, 1/8, 1/16, 1/32, 1/64, ...

is geometric with these properties

We multiply each term by 1/2 to get the next one.

Examples:

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

Notice how -1 < r < 1 is true, i.e. -1 < 1/2 < 1 is true.

Because of this fact, we can determine the sum of infinitely many terms.

That infinite sum is

S = a/(1-r)

This is our upper bound of what we can reach for S.

Calculating it gives:

S = a/(1-r)

S = 1/(1-0.5)

S = 2

Therefore, the sum of the infinitely many terms of this geometric sequence is 2.

1 + 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + ... = 2

We never quite reach 2 exactly due to the fact we cannot reach infinity on the number line. Infinity is not a number, but rather a concept.

Therefore, we never reach a sum of 2. We simply get closer and closer.

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

Using computer software, I was able to generate this:

The decimal values are exact without any rounding done to them. As you can see, the results of 1.5, 1.75, 1.875, etc are slowly approaching 2 but never get to that exact value itself. Visually you can think of an asymptote.

Answer:

There are 7.3152 meters in 24 feet.

Step-by-step explanation:

1 foot = 0.3048, so...

0.3048 x 24 = 7.3152 meters = 24 feet.

The length of the shadow is 24. 56m

From the information given, we have that;

Using the Pythagorean theorem, we have;

a² = b² + c²

Substitute the values, we get;

38² = 29² + c²

Find the squares

1444 - 841 = c²

c² = 603

Find the square root of both sides

c = 603

c = 24. 56m

Hence, the value is 24. 56m

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Answer:

A. x= .100

Step-by-step explanation: