During a sale at the market​, steaks sold for ​$2 and watermelons sold for ​$1.50. Declan spent ​$10 and bought a total of 6 steaks and watermelons. How many of each did he ​buy?

Answers

Answer 1

Answer:

Step-by-step explanation:

During a sale at the market​, steaks sold for ​$2 and watermelons sold for ​$1.50. Declan spent ​$10 and bought a total of 6 steaks and watermelons. How many of each did he ​buy?

Let us represent

Steaks = x

Water melons = y

Our system of equations is given as:

x + y = 6.. Equation 1

x = 6 - y

During a sale at the market​, steaks sold for ​$2 and watermelons sold for ​$1.50.

$2× x + 1.5 × y = $10

2x + 1.5y = 10... Equation 2

Substitute

2(6 - y) + 1.5y = 10

12 - 2y + 1.5y = 10

12 - 10 = 2y - 1.5y

2 = 0.5y

y = 2/0.5

y = 4


Related Questions

please help! i've tried to solve it but not getting the right answer

Answers

Answer:

Sorry I don't know this one, I got 5.32

Step-by-step explanation:

Find the volume of a cone

Answers

Answer:

96π or 301.59 in³

Step-by-step explanation:

V(cone) = 1/3πr²h

= 1/3·π·6²·8

= 96π or 301.59

Answer:

301.58  

Step-by-step explanation:

Students in a statistics class took their first test. The following are the scores they earned. Create a frequency distribution and histogram for the data using a lower class limit of 49.5 and a class width of 10. Describe the shape of the distribution Search Search Select an answer variable(s), the correct graph to make is a a) Since data were collected for? Select answer b) For this one the class width is given to be the following: class width Complete the frequency relative frequency table using the given class width. Round relative frequencies to 3 decimal places. Frequency Relative Frequency Classes 495 c) Which of the following is the correct histogram for the given data? Frey 495 595 695 795 Histogram for Test I Score 895 995 Q Search Search 5 Spring ZOO) Final El Pl E U M QUI PUUVITU 495 595 69.5 79.5 Histogram for Test / Score 89.5 99.5 Q a Frequency 49.5 595 695 795895995 Histogram for Test / Score Frequency 595 603 795 Histogram for Tere d) What shape is the histogram above? Select an ant Q Search Search LE

Answers

a) Since data were collected for "score quantitative" variable(s), the correct graph to make is a histogram

b) For this one the class width is given to be the following: class with = 10 .  See the attachment for table

c)  See the attachment for the graph

What is histogram ?

A histogram is a collection of rectangles with bases and the gaps between class boundaries. All of the rectangles are contiguous, and each rectangle bar represents some kind of data. Rectangles have heights that are proportionate to the corresponding frequencies for both related and dissimilar classes.

a) Since data were collected for "score quantitative" variable(s), the correct graph to make is a histogram

b) For this one the class width is given to be the following: class with = 10 .  See the attachment for table

c)  See the attachment for the graph

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f(x) and g(x) below, find the value of (fog)(-8).
f(x) = 3x²-3x - 8
g(x) = -x - 7

Answers

Therefore , the solution of the given problem of function comes out to be fog(-8)= 622.

Function: A Definition

A function is a relationship between a collection of sources or one product for each input. Simply described, a function is a group of equations linked to a single, distinct output. A declaration, rule, or law that specifies the relationship between two variables is known as a function in mathematics (the dependent variable). When a rules of this kind is employed, there is just one output. by photographer Alex Federspiel. This sentence provides a y=x2 example. Any input for x has only one output for y. Since x is indeed the input value, y is, by definition, a function of x.

Here,

Given :

f(x) = 3x²-3x - 8

g(x) = -x - 7

To find : fog)(-8)= ?

Thus,

We find

=> F(g(x)) => 3g(x)² -3g(x) - 8

=> f(-x-7) =3⋅(-x-7)²-3⋅(-x-7)-8

At x =-8

=> 3(-8-7)² - 3(-8-7)-8

=> 3(225)-3(15) -8

=> 675 - 45 -8

=> 622

Therefore , the solution of the given problem of function comes out to be fog(-8)= 622.

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I need help to get the answer

Answers

The length BC of the right triangle is 18 units.

How to find the side of a right triangle?

A right angle triangle is a triangle that has one of its angles as 90 degrees. The length BC of the right triangle can be found as follows:

Therefore, using proportion because triangle ABC is similar to triangle BDC.

x / 36 = 9 / x

cross multiply

x × x = 36 × 9

x² = 324

square root both sides of the equation

x = √324

x = 18 units

Therefore,

BC = 18 units

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HELP ME HELP ME PLEASEEEE I NEED QUICK

Answers

Answer:

<ABC and <CB both add up to 90 degrees and fit in the angle <ABD so they could be 45 degrees, or one could be 20 degrees while the other is 70, they just have to add up to 90 degrees

Step-by-step explanation:

Using the regression line, or line of best fit, predict the resale value of an 8-year-old car with an original cost of $15,000.a.The 8-year-old car could be worth approximately $2000.b.The 8-year-old car could be worth approximately $5000.c.The 8-year-old car could be worth approximately $3000.d.The 8-year-old car could be worth approximately $4500.

Answers

The 8-year-old car could be worth approximately $3000.

The graphs that show the association between two variables in a data collection are called scatter plots. It displays data points either on a Cartesian system or a two-dimensional plane.

The X-axis is used to represent the independent variable or characteristic, while the Y-axis is used to plot the dependent variable. These diagrams or graphs are frequently used to describe these plots.

In the graph attached below, we can see that when the age of the car is 8 years, the resale value of the car is between points 40 and 20.

Thus, The 8-year-old car could be worth approximately $3000.

(Refer to the image attached for the complete question and graph)

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What is the slope of the line?

Answers

Answer:

4

Step-by-step explanation:

slope, m = (y₂ - y₁)/(x₂ - x₁)

plug in the values, and we get m = (3 - (-1))/((3 - 2) = 4

As x increases by 1, y increases by 4.

-1

Step-by-step explanation:

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

pls help ASAP what do I put in the box (question is in screenchot)

Answers

Answer:

where is the question????

Answer:

where

Step-by-step explanation:

103M) solve on the interval 0 ≤ x < 2pi
sin ( 4x ) = √3 / 2

Answers

solving sin ( 4x ) = √3 / 2 , the value of x is 15°

What is trigonometry?

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

For angle of 30° and 60°

sin 30° = 1/2

cos 60° = √3/2

tan60° = √3

for angle 60 °

sin60° = √3/2

cos 60° = 1/2

tan60° = 1/√3

since sin(4x) = √3/2

and sin 60° = √3/2

sin60° = sin(4x)

this means 60° = 4x

divide both sides 4

x = 60/4

x = 15°

therefore the value of x is 15°

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please help with math question!!

Answers

Answer:

b. cubic

Step-by-step explanation:

hope this helps :)

simplify (2√2+3√5) square 2​

Answers

Answer:

The answer is 22.4

1. Circle which of the following ways to prove that a quadrilateral is a parallelogram. (5 pts.)
I. quadrilateral with both pairs of opposite sides congruent
II. quadrilateral with both pairs of opposite angles congruent
ILI. quadrilateral with one pair of opposite sides both congruent and parallel
A. I only
B. II only
C. I, II and III
D. III only
E. I and II

Answers

quadrilateral with both pairs of opposite sides congruent

What is a parallelogram?

A parallelogram is the name given to a quadrilateral in geometry. In a parallelogram, the opposing sides are parallel and of equal length. The rhombus, rectangle, and square are just a few shapes that are parallelograms.

Having two sets of parallel sides makes a quadrilateral a parallelogram. A parallelogram has opposite sides that are the same length and angles that are the same size. Additionally, the internal angles on the same transverse side are supplementary. 360 degrees are equal to the total of all internal angles.

If both pairs of opposite sides of a quadrilateral are congruent , then the quadrilateral is a parallelogram.

So, the option  I only is correct

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What is another name for angle 1?




∠JNL

∠N

∠MNK

∠NLJ

Answers

Answer: JNL

Step-by-step explanation: We can give angle 1 another name by using 3 letters which include the letter of the vertex point in the middle, and two other letters of the two rays that meet at the vertex point.

Jack split 25 jellybeans between his brother and himself so that his brother has one more than twice the number Jack has. How many jellybeans does each have?

Answers

Jack has 8
And his brother has 17

Answer:

Jack has 8 and his brother has 17

Step-by-step explanation:

j = # jack has

b = # brother has

j + b = 25

b = 1 + 2j  (brother has one more than twice the amount jack has)

j + 1 + 2j = 25

3j = 24

j = 8

b = 25-8 or 17

how to get the Y intercept when you don't have a 0 X coordinate?​

Answers

Answer: You plug in y as 0 into your equation.

Step-by-step explanation:

Do the above thing OK.

Write and solve an equation to find what fraction of the student f voted for fruit juice or water

Answers

If [tex]\frac{1}{4}[/tex] of fruit punch is pineapple juice. About [tex]\frac{1}{6}[/tex] of the fruit punch is orange juice, then fraction of punch that is pineapple juice or orange juice is [tex]\frac{5}{12}[/tex] .

The fraction of pineapple juice in fruit punch is = [tex]\frac{1}{4}[/tex] ;

the fraction of orange juice in fruit punch is = [tex]\frac{1}{6}[/tex] ;

the equation that can be used to find the fraction of fruit punch that is pineapple juice or orange juice is

⇒ [tex]Frcation Of (Pinapple Juice +Orange Juice)[/tex]

substituting the values ,

we get the equation as ;

⇒ [tex]\frac{1}{4} +\frac{1}{6}[/tex]

taking LCM as 4 and 6 as 12 and solving further  ,

we get ;

⇒ [tex]\frac{3}{12} +\frac{2}{12}[/tex] ; = [tex]\frac{5}{12}[/tex] .

Therefore , the fraction of fruit  punch that is pineapple juice or orange juice is [tex]\frac{5}{12}[/tex] .

The given question is incomplete , the complete question is

About 1/4 of fruit punch is pineapple juice. About 1/6 of the fruit punch is orange juice. Write and solve an equation to find the fraction of the punch that is pineapple juice or orange juice .

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The size of each exterior angle in a regular polygon is 15°. Work out how many sides the polygon has.

Answers

Sum of exterior angles = 360. 360/15=24. Answer is 24 sides.

The ratio of the sides of a triangle is 3:5:6. If the perimeter of the triangle is 154 feet, what are the side lengths?

Answers

The side length of the triangle are

33 feet55 feet66 feet

How to find the side length of the triangle

A triangle with given ratio of sides as 3 : 5 : 6 and a perimeter of 154 feet is calculated from the formula of perimeter which is

= a + b + c

where

a, b, and c are the dimensions of the side length of the triangle:

Using the values given in the problem we have

let the ratio be a multiple of x such that

154 = 3x + 5x + 6x

154 = 14x

x = 11

a = 3 * 11 = 33 feet

b = 5 * 11 = 55 feet

c = 6 * 11= 66 feet

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8. Which of the following expressions is a factored form
expression 3x

2 − 10x − 8 ?

a. (3x-4)(x+2)
b. (3x-2)(x-4)
c. (3x-2)(x+4)
d. (3x+2)(x-4)
e. (3x+4)(x+2)

Answers

Answer:

D

Step-by-step explanation:

(3x+2)(x-4)

3x^2-12x+2x-8

3x^2-10x-8=0

which function is equal to -1/2?​

Answers

A is equal to -1/2

B is equal to .866

C is equal to 1/2

D is equal to -.866

Therefore your correct answer is c

The table shows the linear relationship between x, the altitude in feet, and y, the boiling point of water in degrees Fahrenheit.


What are the slope and y-intercept of the line that models this situation? I

Answers

The slope and the y-intercept of the given data table will be option A) Slope= -0.0018, y-intercept = 212

The y-intercept of any linear equation is the point at which the line or the curve intersects the vertical i.e the Y- axis.

To find this intercept, the value of x is taken to be 0 in the model, since on the Y-axis, the value of x is 0.

Here from the given table, we need to check the boiling point or the value of Y for which the value of the altitude or the x value is 0

Hence we get the y-intercept as 212° F.

Now, the formula for slope

= change in y/ change in x

here we will take any two data rows and divide the difference in boiling points by the difference in altitudes.

Taking the first 2 rows gives us

Slope = -0.9/500

= -0.0018

Hence we choose option A) Slope = -0.0018, y-intercept = 212

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Complete Question

The table shows the linear relationship between x, the altitude in feet, and y, the boiling point of water in degrees Fahrenheit. What are the slope and y-intercept of the line that models this situation?

A. Slope= -0.0018, y-intercept = 212

B. Slope= 0.0018, y-intercept =-212

C. Slope =212, y- intercept= 0.0018

D. Slope=-212, y-intercept = 0.0018

How do you graph the polar curve r=5cosθ? Drag an equation, variable, or phrase into each box to correctly complete the statements.

Answers

Answer:

See graph below

Step-by-step explanation:

The equation r=5cosθ basically means the graph is going to be a circle with a radius of 5/2=2.5 to the right on the horizontal axis since it's cosine.

To graph the function r=5cosθ, we graph the function f(x) = 4cos(x), such that functional values are used as the corresponding values of θ and a radius of 2.5

How to graph the function?

The function is given as:

r=5cosθ

The above means that, we want to graph the function f(x) = 4cos(x), such that functional values are used as the corresponding values of θ.

The radius r is calculated using;

r = 5/2

r = 2.5

Hence, the graph of r=5cosθ has a radius of 2.5

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GIVE THIS ANSWER FAST I WILL GIVE BRAINLIEST

Q IF 2X^3+AX^2-BX-15 HAS 2X+3 AS A FACTOR AND LEAVES A REMAINDER -5 WHEN DIVIDED BY(X-1),FIND THE VALUES OF A AND B

Answers

Answer:

could you just give the

Step-by-step explanation:

equation so I could try to solve it

Can someone solve this rational equation and plz don’t link files

Answers

r=13/2

After I solved it it was kinda easy

Answer:

r=13/2

Step-by-step explanation:

For each graph, determine whether x and y are proportional.
If r and y are proportional, fill in the blank with a number in simplest form.
Graph 1
Graph 2
Graph 3
HELP PLEASE

Answers

the answer to this question is graph 3 :)) it is

What’s the equation to find angles in a parallelogram

Answers

S = (n - 2) x 180°

I’m pretty sure that’s what it is(?).

A line passes through 3,1 and 0,-3 whats the equation

Answers

Answer:

y=(this is a fraction) 4/3 times x-3

Step-by-step explanation:

In a television survey, 4 out of 5 people liked comedy shows more than reality shows. If 6,000 people were surveyed, how many people preferred comedy shows?

Answers

Answer:

4,800

Step-by-step explanation:

6,000/5

1,200x4

4,800

how many 1/4 are in 6

Answers

Answer:

24

Step-by-step explanation:

To answer this you simply need to divide 6 by 1/4

or

6÷1/4

which is also equivalent to 6*4

this will get you 24

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