The table shows the amounts of two ingredients Tara used to make a snack mix. She ate 5/8 cup of the snack mix for lunch. How much of the mix is left? Show how you solved.

To find the width of Bill's rectangular pool, set up an equation with 'x' as the width, resulting in x(x + 60) = 1600. Solving this quadratic equation, the width of the pool is found to be 20 feet.

The question asks us to determine the width of Bill's backyard swimming pool given that the pool's length is 60 feet longer than its width and the surface area of the water is 1600 square feet. To solve this, we can set up an equation where the width of the pool is x feet and the length is x + 60 feet. Because surface area is found by multiplying the length by the width for a rectangular object, our equation is x(x + 60) = 1600.

Now, solve for x:

We can solve this quadratic equation by factoring or using the quadratic formula. In this case, the equation factors nicely:

Setting each factor equal to zero gives us:

Since a negative width doesn't make sense for a physical object, we discard x = -80 and the width of the pool is 20 feet.

The equivalent expression for the given expression is 2-5x/8.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression is 1/4(2-5x+6).

The equivalent expression is  

1/4(8-5x)

=8/4 -5x/8

= 2-5x/8

Therefore, the equivalent expression is 2-5x/8.

To learn more about an equivalent expression visit:

https://brainly.com/question/28170201.

#SPJ2

To find the equivalent expression to 1/4(2−5x+6), distribute 1/4 to each term inside the parentheses to get 1/2 - 5/4x + 3/2.

To simplify the expression 1/4(2−5x+6), you need to distribute the 1/4 to each term inside the parentheses:

Putting it all together, the equivalent expression is 1/2 - 5/4x + 3/2.

Answer:

61.27

Step-by-step explanation:

Answer:

Step-by-step explanation:

your answer is x>37

Addison should put 1.2 pounds of fruit salad into each of the 10 containers for the fundraiser.

To find out how much fruit salad Addison should put in each container, we need to first calculate the total weight of the fruit she brought, which is 5 pounds of oranges plus 7 pounds of cherries, equaling 12 pounds of fruit in total.

Then, to distribute this equally among 10 containers, we divide the total weight of the fruit by the number of containers:

[tex]\[ \frac{12 \text{ pounds}}{10 \text{ containers}} \]\[ = 1.2 \text{ pounds per container} \][/tex]

So, Addison should put 1.2 pounds of fruit salad into each container.

The scale factor is 1:2 or 1/2.

To determine the scale factor between the actual dimensions and the scale drawing, divide the actual length and width by the corresponding values in the scale drawing dimensions. In this case, the scale factor is 1:2 or 1/2.

To find the scale factor:

Answer:

We have to convert the measurement in square meters. Therefore 120 sq. feet = 120×0.093 = 11.148 sq. meters.

The vertex of a parabola is the minimum or the maximum point of the parabola

The equation of the parabola is given as:

The x-coordinate of the vertex is calculated using:

[tex]x = -\frac{b}{2a}[/tex]

So, we have:

[tex]x = -\frac{12}{2 \times 1}[/tex]

[tex]x = -\frac{12}{2}[/tex]

[tex]x = -6[/tex]

Substitute -6 for x in f(x)

[tex]f(-6) = (-6)^2 + 12(-6) + 27[/tex]

[tex]f(-6) =-9[/tex]

So, the vertex of the parabola is (-6,-9)

Let x = 0.

So, we calculate f(0) as follows:

[tex]f(0) = (0)^2 + 12(0) + 27[/tex]

[tex]f(0) = 27[/tex]

This means that f(x) passes through (0,27)

See attachment of the parabola

Read more about parabolas at:

https://brainly.com/question/4148030

Final answer:

The probability of rolling a prime number on a six-sided die is 1/2 or 50%, since there are three prime numbers (2, 3, 5) out of six possible outcomes.

Explanation:

The probability of rolling a prime number on a six-sided cube labeled with the numbers 1 through 6 can be determined by identifying which numbers on the cube are prime. Prime numbers are numbers that are only divisible by 1 and themselves. On a six-sided die, the prime numbers are 2, 3, and 5.

Since there are 6 faces on the die, the total number of possible outcomes when you roll it once is 6. The event of rolling a prime number includes three outcomes: rolling a 2, rolling a 3, or rolling a 5. So, the probability, P, of rolling a prime number is determined by dividing the number of favorable outcomes (rolling a 2, 3, or 5) by the total number of possible outcomes.

The calculation for the probability is therefore P(Prime) = Number of prime faces / Total number of faces = 3/6. This simplifies to 1/2, which means that the probability of rolling a prime number is 1/2, or 50%.

We can conclude that if you roll the die only a few times, the law of large numbers may not hold, and the experimental probability may not closely align with the theoretical probability of 1/2, but over many rolls, it would generally converge to this value.

Exactly 1 of these triangles can fit inside this rectangle.

The sentence that is true is exactly 1 of these triangles can fit inside this rectangle. To understand why, let's analyze the dimensions of the triangle and the rectangle. Suppose the base of the triangle is 4 units and the height is 3 units. If the length of the rectangle is also 4 units and the width is 3 units, the triangle will perfectly fit inside the rectangle. However, if the length or width of the rectangle is different from the corresponding dimensions of the triangle, it will not be possible to fit the triangle inside the rectangle without overlapping.

https://brainly.com/question/31408211

#SPJ12