T+1= -3 T=? Solve the equation

Chloe purchased some dried mango and dried kiwi to make some trail mix. The dried mango cost $2.11 per pound and the dried kiwi

andreev551 [17]

Answer:

Number of pounds of dried mangoes Chloe bought = 3.5

Number of pounds of dried kiwi Chloe bought bough = 6.5

Step-by-step explanation:

Total number of pounds of dried fruit purchased = 10

Let number of pounds of dried mango purchased = $x$

Let number of pounds of dried kiwi purchased be = $y$

Total weight of dried fruits purchased = $x+y$

So, we have a sum equation as:

$x+y=10$

Total cost of dried fruits = $40.34

Cost of a pound of dried mango = $2.11

Cost of $x$ pounds of dried mango in dollars can be given as = $2.11x$

Cost of a dried kiwi = $5.07

Cost of $y$ pounds of dried kiwi in dollars can be given as = $5.07y$

Total cost of dried fruits in dollars = $2.11x+5.07y$

So, we have a cost equation as:

$2.11x+5.07y=40.34$

The system of equations is :

A) $x+y=10$

B) $2.11x+5.07y=40.34$

Solving by substitution.

Rearranging equation A, to solve for $y$ in terms of $x$

Subtracting both sides by $x$

$x+y-x=10-x$

$y=10-x$

Substituting value of $y$ we got from A into equation B.

$2.11x+5.07(10-x)=40.34$

Using distribution.

$2.11x+50.7-5.07x=40.34$

Simplifying.

$-2.96x+50.7=40.34$

Subtracting both sides by 50.7.

$-2.96x+50.7-50.7=40.34-50.7$

$-2.96x=-10.36$

Dividing both sides by -2.96.

$\frac{-2.96x}{-2.96}=\frac{-10.36}{-2.96}$

∴ $x=3.5$

We can plugin $x=3.5$ in the rearranged equation A to get value of $y$

$y=10-3.5$

∴ $y=6.5$

So, number of pounds of dried mangoes Chloe bought = 3.5

Number of pounds of dried kiwi Chloe bought bough = 6.5

5 0

3 years ago

Please solve i will give brainiest 100 point question ****** do the whole page please need to pass or i will fail its my final t

dmitriy555 [2]

Answer:

1. Find the difference between the areas.

Area of the small rectangle: $(x+2)(x+7)=x^2+7x+2x+14=x^2+9x+14$

Area of the big rectangle: $(x+9)(x+11)=x^2+11x+9x+99=x^2+20x+99$

The difference is: $11x+85$

$( x^2+20x+99)- (x^2+9x+14)=x^2+20x+99-x^2-9x-14=11x+85$

2.

You can solve this question just by looking at the graph.

a) The height is 4 meters.

$f(d)=h=-2d^2+7d+4$

To find the height of the bleachers, we should consider the moment before the shoot, when the distance is equal to 0.

$f(0)=h=-2(0)^2+7(0)+4$

$h=4$

The height is 4 meters.

b) 9 meters.

For $d=1$

$f(1)=h=-2(1)^2+7(1)+4$

$f(1)=h=-2+7+4$

$h=9$

b) The ball travels 4 meters.

But to calculate it, it is when $h=0$

$0=-2d^2+7d+4$

Using the quadratic formula:

$d=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$d=\frac{-7 \pm \sqrt{7^2-4\left(-2\right)4}}{2\left(-2\right)}$

$d=\frac{-7\pm\sqrt{81}}{-4}$

$d=\frac{-7\pm9}{-4}$

It will give us to solutions, once it is a quadratic equation, but we are talking about a positive distance.

$d=-\frac{1}{2} \text{ or }d=4$

3.

In this question, we have to find the area of the cylinder and the sphere.

From the information given, we have

a = 5mm and d = 5mm, therefore the radius is 2.5 mm.

The volume of a cylinder:

$V=\pi r^2h$

$V=\pi (2.5)^2 \cdot 5$

$V=31.25 \pi$

$V_{c} \approx 98.17 \text{ m}^3$

The volume of the sphere:

$V=\frac{4}{3} \pi r^2$

$V_{s} \approx 65.4 \text{ m}^3$

The volume of the capsule is approximately $163.57 \text{ m}^3$

3 0

4 years ago

Can a local maximum also be a point of inflection? Explain.

myrzilka [38]

Inflection points are where the function changes concavity. Since concave up corresponds to a positive second derivative and concave down corresponds to a negative second derivative, then when the function changes from concave up to concave down (or vise versa) the second derivative must equal zero at that point. So the second derivative must equal zero to be an inflection point. But don't get excited yet. You have to make sure that the concavity actually changes at that point.

7 0

3 years ago

Which equation shows y=−12x+4 is in standard form?

Dmitriy789 [7]

Answer:

-8x

Step-by-step explanation:

7 0

3 years ago

-3 - 8+ (-4) what is the answer??

Masja [62]

The answer to -3-8+(-4) is -15