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sineoko [7]
3 years ago
13

Justin and George bought some baked goods. Justin purchased 5 cookies for x dollars each and 4 doughnuts for y dollars each and

spent $12 dollars on the baked goods. George purchased 1 cookie for x dollars each and 6 doughnuts for y dollars each and spent $5. The system of equations represents this situation. What statement is true? 5x+4y=12 x+6y=5
Mathematics
2 answers:
borishaifa [10]3 years ago
8 0

The given statement 5x=4y=12 and x+6y=5 is true.

<u>Step-by-step explanation:</u>

The question comes from linear equations in two variables.

Here, two unknown variables represent a certain situation and their value can be obtained by solving both the given equations.

The cost of cookie is represented by the variable x and cost of doughnuts can be represented by the variable y.

The coefficient of each variable in the equation represent the quantity or the number of units of each baked good.

On comparing the given equations from the data provided in the question, the statement can be stated as true.

Phoenix [80]3 years ago
8 0

Answer:

A cookie cost $1.50 more than a doughnut

Step-by-step explanation:

Hey, I believe you forgot the statements, but if they're the same as the ones I had on my test, the correct statement should be "A cookie cost $1.50 more than a doughnut". :)

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The black graph is the graph of<br> y = f(x). Choose the equation for the red graph
Alecsey [184]

Answer:

it’s b :)

Step-by-step explanation:

7 0
3 years ago
Y=-x^2+6x-4<br> Find the Axis of Symmetry and the Vertex, Also solve the whole equation.
Inessa [10]

Answer:

1. <em>Axis of symmetry</em>: x = 3

2. <em>Vertex:</em> (3,5)

3. <em>Solution of the equation</em>:

<u />

  • x-intercepts:

               (3-\sqrt{5},0) \\\\(3+\sqrt{5},0)

  • y-intercept: (0, -4)

Explanation:

<u>1. Equation:</u>

    y=-x^2+6x-4

<u>2. </u><em><u>Axis of symmetry:</u></em>

That is the equation of a parabola, whose standard form is:

                 y=ax^2+bx+c

Where:    

                 a=-1;b=6;c=-4

The axis of symmetry is the vertical line with equation:

               x=-b/2a

Substitute  a=-1,\text{ and }b=6

          x=-6/[(2)(-1)]=-6/(-2)=3

Thus, the axis of symmetry is:

            x=3

<em><u>3. Vertex</u></em>

<em><u /></em>

The x-coordinate of the vertex is equal to the axys of symmetry, i.e x = 3.

To find the y-xoordinate, substitute this value of x into the equation for y:

               y=-x^2+6x-4\\\\y=-(3)^2+6(3)-4=-9+18-4=5

Therefore, the vertex is (3, 5)

<u>4. Find the x-intercepts</u>

The x-intercepts are the roots of the equation, which are the points wher y = 0.

        y=-x^2+6x-4=0

Use the quadratic equation:

       x=\frac{-b\pm \sqrt{b^2-4ac} }{2a} \\\\x=\frac{-6\pm\sqrt{(-6)^2-4(-1)(-4)} }{2(-1)}\\\\x_1=3-\sqrt{5} \\\\x_2=3+\sqrt{5}

<u>5. Find the y-intercept</u>

<u />

The y-intercet is the value of y when x=0:

         y=-x^2+6x-4\\\\y=-(0)^2+6(0)-4=-4

7 0
4 years ago
A boat heads south at 120 mph while a steamer heads east at 50 mph. If they started from the same dock and at the same time, whe
Snezhnost [94]

Answer:

  1 hour after they leave

Step-by-step explanation:

The distance each travels is proportional to its speed. The given speeds are at right angles to each other in a 5:12 ratio. The Pythagorean theorem tells you the hypotenuse of such a right triangle will have length ...

  √(5²+12²)=√169 = 13

That is the speeds are in the ratio 5:12:13, where 13 represents the relative separation speed. Actual speeds are then 50 mph : 120 mph : 130 mph.

So the distance between the boat and steamer will be increasing at 130 mph. The distance will be 130 miles after 1 hour.

8 0
3 years ago
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kvv77 [185]
They are simplified. 2 1/6 cannopt be simplified neither can 7 1/3 

Brainliest please i need one more before im expert

8 0
3 years ago
Estimate the quotient of 900.37 and 29.8. 3 9 30 90
vesna_86 [32]

Answer:

30

Step-by-step explanation:

Quotient means were dividing, so divide 900.37 by 28.9

900.37/28.9=30 rounded up.

The estimated quotient of 900.37 and 28.9 is 30.

Hope this helps!

7 0
3 years ago
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