Danielle and Esther are selling fruit for a fundraiser. Danielle sold 3 boxes of apples and 2 boxes of oranges for $44.50. Esther sold 5 boxes of apples and 4 boxes of oranges for $81.50. How much did a box of oranges cost?

Answers

Answer 1

Let x be the cost of a box of apples and y be the cost of a box of oranges.

Danielle : 3x + 2y = 44.5

Esther: 5x + 4y = 81.5

3x + 2y = 44.5 --- 1

5x + 4y = 81.5 --- 2

6x + 4y = 89 --- 3

From 2 and 3, we have:

x = 7.5

Subsitute x = 7.5 into 1

3(7.5) + 2y = 44.5

2y = 22

y = 11

Therefore, a box of oranges costs 11 dollars


Related Questions

Given a normal distribution with a mean of 28 and a standard deviation of 2.5, what percentage of the data should be between 25.5 and 30.5?

Answers

Using the Empirical Rule, it is found that 68% of the data should be between 25.5 and 30.5.

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of  the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

28 - 2.5 = 25.5.28 + 2.5 = 30.5.

Within one standard deviation of the mean, hence, 68% of the data should be between 25.5 and 30.5.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

Will give 30 points to who answers!

Answers

Step-by-step in this answer is square root is 3
sqrt5/3sqrt15 multiply by sqrt15/sqrt15
sqrt(5x15)/(3x15)=sqrt75/45
sqrt75=sqrt25 x sqrt3= 5sqrt3
5sqrt3/45
=sqrt3/9

Check all fractions equivalent to 3⁄9?

Answers

Answer:

I don't see the problem, Where is the image?

What type of triangle is defined by the following set of side lengths
11, 9 , 7
Question 4 options:
Acute
Obtuse
Right
Not a triangle

Answers

Answer:

it looks like a triangle but it is not it is called a Nonigon

a kite is a square with sides that are 18 feet long. What is the length of the vertical stripe?

Answers

Given↷Side of the square kite⇢18 feetTo find↷Length of the vertical stripe ⇢ The diagonal of the given square kiteAnswer↷

25.46 ft

Solution↷

To find the vertical stripe of the kite,we'll use this formula

√2a

where,

a ⇢ length of the side of the given kite

Inserting the value of 'a' ( 18ft) in the formula,

we get,

length of the vertical stripe =√2a⇢√2 x 18ftlength of the vertical stripe ⇢25.46 ft

hence , the length of the vertical stripe of the given square kite = 25.46 ft

Answer:

C. 648 in.

Step-by-step explanation:

help please i been stuck on this question for the last hour im on the verge of tears

Answers

(You should take the full screenshot)

Since no percentages were provided (at least not in the ss), we have to approximate?

The space that parrots and sparrows take up is almost half the circle (we'll say 48-49%)

So, we can convert that to fraction : 48/100 or 49/100


There is 1/2 of the birds seen were either parrots or sparrows.

What is Rational number?

A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.

Given that;

Figure shows the birds seen.

Now, We have;

By figure the half of circle is shown either parrots or sparrows.

Hence, The value of fraction of the birds seen were either parrots or sparrows is,

⇒ 1/2 of 100%

⇒ 1/2 × 100/100

⇒ 1/2

Therefore,  The value of fraction of the birds seen were either parrots or sparrows is, 1/2

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The graph represents a cubic function. Write the function.

Answers

Zeros are

(0,0)(-3,0)(-4,0)

Write in factor form and solve

(x-0)(x-(-3))(x-(-4))=0x(x+3)(x+4)=0x[x(x+4)+3(x+4)]=0x(x²+4x+3x+12)=0x(x²+7x+12)=0x³+7x²+12x=0

Points given (-2,16)

Solve for n

n(x³+7x²+12x)=y

On solving we get

n=-4

So the function is

y=-4(x³+7x²+12x)y=-4x³-28x²-48x

Answer:

-4x³ - 28x²- 48x

Explanation:

x-intercept: (-4, 0), (-3, 0), (0, 0)

→ so equation: a(x+4)(x+3)(x+0)

point given: (-2, 16)

→ substitute these points to find a

a(-2+4)(-2+3)(-2) = 16a = -4

so the graphed cubic equation:

-4(x+4)(x+3)(x+0)-4x³ -28x²-48x


The area of the figure is
square units?

Answers

Answer:

8 squared units

Sorry if this answer is not correct, if it is or is not, please tell me in the comments!

Step-by-step explanation:

Rectangle:

To find the area of the rectangle, we need to mutiply the base and the height. 3 units(base) x 2 units(height) = 6 squared units

Triangle:

To find the area of the triangle is very similar to finding the area of the rectangle. We need to multiply the base and the height and divide it by 2.

Base= 2 units(since it is a rectangle, the opposite side is the same length)

Height = 2 units

Next, we plug it in to this formula: 1/2 bh (b = base and h = height)

multiplying by one half is the same as dividing by 2

The area of the triangle is 2 x 2 = 4

4 divided by 2 = 2 squared units

For the final step, we add the areas together. (6+2 = 8) the label is very important (squared units)

are these answer correct?​

Answers

Answer:

yessir

Step-by-step explanation:

On a coordinate plane, 3 lines are shown. Line a has points (negative 3, 3) and (3, negative 3). Line b has points (negative 3, negative 2) and (2, 3). Line c is parallel to line b.

If line b is perpendicular to line a, and line c is perpendicular to line a, what is the slope of line c?

Answers

Answer:

slope c =1

Step-by-step explanation:

slope for line (y2-y1)/(x2-x1)

slope of line a = (-3-3)/(3-(-3))

slope of  line a = -6/6 = -1

if line c is perpendicular to line a, so relationship for slops are

(slope a) *(slope c)= -1

(-1)*(slope c) = -1

slope c =1

Answer:

mc = 1

Step-by-step explanation:


Which one is equal to 6 x 10^5
A (3 x 10^8) (2 x 10^-2) or B 600,000,000

Answers

Using scientific notation, it is found that the value that is equals to 6 x 10^5 is given by:

A (3 x 10^8) (2 x 10^-3)

What is scientific notation?

A number in scientific notation is given by:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex].

When two numbers are multiplied, we multiply the bases and add the values of the exponents, hence:

[tex](3 \times 10^8) \times (2 \times 10^{-3}) = 6 \times 10^5[/tex]

More can be learned about scientific notation at https://brainly.com/question/16394306

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What is the domain of the function y = √√x+6-7?
x>_-7
x>_-6
x>_6
x>_7

Answers

the domain is

[tex]x \geqslant - 6[/tex]

drake uses 9/4 cups of sugar to make 9 mugs of brownies how much sugar is required to make one brownie

Answers

Answer:

1/4 cup

Step-by-step explanation:

9/4 / 9 =

9/4 *1/9 the nines cancel out to leave

1/4

May you help me please I am stressed and struggling

Answers

Answer:

2x+4+3x+4

5x+8

2(2x+4)+x

Step-by-step explanation:

• 2x+4+3x+4 would be equal to 5x+8

because you will group like terms: 2x+ 3x=5x and 4+4=

• 2(2x+4)+x

multiple what's outside the bracket by what's inside .

4x+8+x

4x+x =5x and 8

sooo 5x+ 8

Hope this helps

how to solve (3p⁴ + 2q⁴)²​

Answers

Answer:

9p⁸ + 12p⁴q⁴ + 4q⁸

Step-by-step explanation:

(3p⁴ + 2q⁴)²​ ⇒ The square of (3p⁴ + 2q⁴)

Squares are such bases that multiply itself two times.

⇒ (3p⁴ + 2q⁴)(3p⁴ + 2q⁴)

Simplifying the expression using (a + b)(a + b) = (a x a) + (ab) + (ab) + (b²)

⇒ (9p⁸ + 6p⁴q⁴ + 6p⁴q⁴ + 4q⁸)

⇒ (9p⁸ + 12p⁴q⁴ + 4q⁸) = 9p⁸ + 12p⁴q⁴ + 4q⁸

We know the identity

(a+b)²=a²+b²+2ab

So

[tex]\\ \rm\Rrightarrow (3p^4+2q^4)^2[/tex]

[tex]\\ \rm\Rrightarrow (3p^4)^2+(2q^4)^2+2(3p^4)(2q^4)[/tex]

[tex]\\ \rm\Rrightarrow 9p^8+4q^8+12p^4q^4[/tex]

Done

What is the length of a car if the length on the scale madel car is 17 cm and the scale is 2 cm : 50 cm?

Answers

Answer:

x= 425

Step-by-step explanation:

An item is regularly priced at $25 . It is now priced at a discount of 60% off the regular price. What is the price now?

Answers

Step-by-step explanation:

sp = mp-d%*mp

= $25-60/100*$25

=$10

now the price of an item is $10.

The volume of this right trapezoidal prism is 341.25 ft³.

What is the height, x, of the prism?

Enter your answer as a decimal in the box.

Answers

Answer:10.5

Step-by-step explanation: I hope this helps

The height, x, of the right trapezoidal prism is 10.5 ft.

Given that, the volume of this right trapezoidal prism is 341.25 ft³.

We need to find the height x, of the prism.

What is the formula to find the volume of this right trapezoidal prism?

The formula to find the volume of this right trapezoidal prism is Volume=BH.

Where B=Area of the Base and H=Height.

Area of the Base(Trapezium)=1/2(a+b)×h

Where a and b are parallel sides of the trapezium and h= height of the trapezium.

Now, the area of the Base=1/2(8+5)×5=32.5 ft²

The volume of the right trapezoidal prism=32.5×x

⇒341.25=32.5×H

⇒x=10.5 ft

Therefore, the height, x, of the right trapezoidal prism is 10.5 ft.

To learn more about the volume of the right trapezoidal prism visit:

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The following are the temperatures in °C for the first 10 days in January:

-0.1, 3.5, 6.4, 3.8. 4.7, 76, 4.7, 8.1, -1.8, -8

Calculate the range.
Give your answer as a decimal. ​

Answers

Answer:

84.0

Step-by-step explanation:

Range: Highest value - lowest value

Highest value: 76

Lowest value: -8

= 76 - (-8)

= 84

= 84.0

This is technically geography! But pls help! it's due soon! I'm offering 50 points!!

Answers

Answer:

(26 points for an answer... but anywho...)

Step-by-step explanation:

Hot air balloon: (20E, 10N)

Plane: (20E, 20S)

Whale: (10E, 20N)

Ship: (20W ,10S)

Bridge: (10W ,20S)

Truck: (15W, 20N)

I hoope this helps :)

Answer:

i wrote each one in explanation although you may need to add your WNSE labels. hope this helps.

Step-by-step explanation:

Hot air balloon (20,10)

Plane (20,20)

whale(10,20)

ship (20,10)

bridge (10,20)

truck(15,20)

The image shows lines AB and CD.
Are the 2 lines parallel? Explain or show your reasoning.

Answers

Answer:

No

Step-by-step explanation:

To classify the lines as "parallel", the distance between both x-intercepts must be equivalent to the distance between both y-intercepts. In this case, the lines are not parallel because the distance between both y-intercepts is different than the distance of both x-intercepts.

Distance between two y-intercepts: 4 unitsDistance between two x-intercepts: 5 units

Since 4 ≠ 5, the lines are not parallel.

Answer:

No, the lines are not parallel.

Step-by-step explanation:

Parallel lines have the same slope.

Therefore, find the slopes of both lines and compare.  

Slope formula

[tex]\sf slope=\dfrac{change\:in\:y}{change\:in\:x}[/tex]

Line AB

A = (0, 6)

B = (8, 0)

[tex]\implies \sf slope=\dfrac{0-6}{8-0}=-\dfrac34[/tex]

Line CD

C = (-3, 4)

D = (0, 2)

[tex]\implies \sf slope=\dfrac{2-4}{0-(-3)}=-\dfrac23[/tex]

As the slopes of the 2 lines are different, the lines are not parallel.

How many equilateral triangles are there in a regular hexagon.

Answers

There are total 6

Look at the attachment for proof

If we join all three diagonals we get 6 equilateral triangle

Answer:

There are 6 equilateral triangles in a regular hexagon.

Step-by-step explanation:

A regular hexagon can be dissected into 6 equilateral triangles by adding a center point .

Solve for x and round to near tenth

Answers

Answer:

Step-by-step explanation:

[tex]\sf Cos \ x = \dfrac{adjacent \ side}{hypotenuse}\\\\\\cos \ x =\dfrac{4}{9}\\\\\\Cos \ x = 0.44\\\\x = Cos^{-1} \ (0.44)\\[/tex]

x = 63.9°

Find the slope and the y-intercept of the linear equation: 2x+y=7
slope: 7; y-intercept: 2
slope: 2; y-intercept: 7
slope: -2; y-intercept: 7
slope: 1/2; y-intercept: 7

Answers

Answer:

The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Subtract 2x 2 x from both sides of the equation. Reorder 7 7 and −2x - 2 x . Using the slope-intercept form, the slope is −2 .

Choose the phrase that correctly completes this sentence.

Taking out a loan is like ____________________.

Answers

Paying with a credit card

Which expressions are equivalent to 4^-2 x 7^-2

Answers

Answer:

[tex]\frac{1}{784}[/tex]

Step-by-step explanation:

4⁻² * 7⁻²

Use the Negative Exponent Property: x⁻ⁿ = [tex]\frac{1}{x^n}[/tex]

[tex]4^{-2}*7^{-2}\\\\ \frac{1}{4^2}*\frac{1}{7^2}\\\\ \frac{1}{16}*\frac{1}{49}\\\\ \frac{1}{784}[/tex]

Hope this helps!

Please help ASAP. Will give brainliest if correct!
What is 0.15...(repeating decimal) as a fraction in simplest form?

Clearly show your work.

Answers

Answer:

0.15 as a fraction in simplest form is 3/20.

Step-by-step explanation:

0.15 is the same thing as 15/100, divide both the numerator and denominator by 5 and your result is 3/20.

Answer:

0.15 as a fraction in simplest form is 3/20.

Step-by-step explanation:

0.15 is the same thing as 15/100, divide both the numerator and denominator by 5 and your result is 3/20.

-7.5 as a mixed number

Answers

Answer:

[tex]-7\dfrac12[/tex]

Step by step explanation:

[tex]-7.5=-\dfrac{75}{10}=-\dfrac{15}2=-7\dfrac{1}2[/tex]

If £2000 is placed into a bank account that pays 3% compound interest per year how much will be in the account after two years

Answers

Answer:

£2121.8

Step-by-step explanation:

2000 X 1.03 X 1.03 = 2121.8

Strawberries are on sale 3 boxes for $6.99. How much does 1 box cost?

Answers

Answer:

$2.33

Step-by-step explanation:

6.99/3 = 2.33

Divide cost of 3 boxes by 3:


6.99/3 = 2.33

1 box cost $2.33

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