Name 2 pair of interior angles

There are 5 times as many yellow labs as terriers in the dog park. if there are a total of 18 dogs, how many dogs are terriers?

gtnhenbr [62]

Terriers = x
Labs = 5x
5x + x = 18
6x = 18
6x / 6 = 18/6
x = 3
There are 3 Terriers

3 0

3 years ago

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ZanzabumX [31]

Your fruit punch recipe can be composed of 4 juice containers of lemonade, 2 juice containers of orange juice, 2 juice containers of grape juice, 2 juice containers of apple juice, 2 juice containers of cranberry juice, and 2 juice containers of pineapple juice.

<h3>Unit conversion</h3>

Unit conversion is a tool very useful to solve some questions. For this exercise, you should know that 1 liter (l) = 1000 milliliters (ml).

The question asks you a design your own fruit punch recipe with exactly 5 liters of punch and includes at least three of the juice.

You have several options, an alternative is to use all juices.

Step 1 - Convert the units for each given juice containers

250 milliliters of lemonade = 0.250 l of lemonade juice

500 milliliters of orange juice = 0.500 l of orange juice

250 milliliters of grape juice = 0.250 l of grape juice

250 milliliters of apple juice= 0.250 l of apple juice

500 milliliters of cranberry juice = 0.500 l of cranberry juice

500 milliliter’s of pineapple juice = 0.500 l of pineapple juice

Step 2 -Design your own fruit punch recipe with exactly 5 liters

4 juice containers of lemonade = 4* 0.250 l = 1 l of lemonade

2 juice containers of orange juice= 2* 0.500 l = 1 l of orange juice

2 juice containers of grape juice= 2* 0.250 l = 0.500 l of grape juice

2 juice containers of apple juice= 2* 0.250 l = 0.500 l of apple juice

2 juice containers of cranberry juice= 2* 0.500 l = 1 l of cranberry juice

2 juice containers of pineapple juice= 2* 0.500 l = 1 l pineapple juice

Thus, your own fruit punch recipe is composed of: 4 juice containers of lemonade, 2 juice containers of orange juice, 2 juice containers of grape juice, 2 juice containers of apple juice, 2 juice containers of cranberry juice, and 2 juice containers of pineapple juice.

Read more about the unit conversion for capacity here:

brainly.com/question/14965845

4 0

2 years ago

Simplify<br> X2-49<br> Over <br> X2+9x+14

Stels [109]

Answer:

(x-7)/(x+2)

Step-by-step explanation:

(x-7)(x+7)/(x+7)(x+2)

(x-7)/(x+2)

7 0

3 years ago

a student Miss 10 problems on an English test and received a grade of 44%. If all the problems were of equal value, how many pro

eimsori [14]

Answer:

Rounded to the nearest integer, the test had 18 problems in all.

Step-by-step explanation:

Given that a student missed 10 problems on an English test and received a grade of 44%, if all the problems were of equal value, to determine how many problems were on the test the following calculation must be performed:

100 - 44 = 56

56 = 10

100 = X

100 x 10/56 = X

1,000 / 56 = X

17.85 = X

Thus, rounded to the nearest integer, the test had 18 problems in all.

5 0

3 years ago

The graph of the continuous function g, the derivative of the function f, is shown above. The function g is piecewise linear for

4vir4ik [10]

A) $g=f'$ is continuous, so $f$ is also continuous. This means if we were to integrate $g$ , the same constant of integration would apply across its entire domain. Over $0$ , we have $g(x)=2x$ . This means that

$f_{0$

For $f$ to be continuous, we need the limit as $x\to1^-$ to match $f(1)=3$ . This means we must have

$\displaystyle\lim_{x\to1}x^2+C=1+C=3\implies C=2$

Now, over $x$ , we have $g(x)=-3$ , so $f_{x$ , which means $f(-5)=17$ .

b) Integrating over [1, 3] is easy; it's just the area of a 2x2 square. So,

$\displaystyle\int_1^6g(x)=4+\int_3^62(x-4)^2\,\mathrm dx=4+6=10$

c) $f$ is increasing when $f'=g>0$ , and concave upward when $f''=g'>0$ , i.e. when $g$ is also increasing.

We have $g>0$ over the intervals $0$ and $x>4$ . We can additionally see that $g'>0$ only on $0$ and $x>4$ .

d) Inflection points occur when $f''=g'=0$ , and at such a point, to either side the sign of the second derivative $f''=g'$ changes. We see this happening at $x=4$ , for which $g'=0$ , and to the left of $x=4$ we have $g$ decreasing, then increasing along the other side.

We also have $g'=0$ along the interval $-1$ , but even if we were to allow an entire interval as a "site of inflection", we can see that $g'>0$ to either side, so concavity would not change.

5 0

3 years ago