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1 year ago

Ten liters of pure water are added to a 50-liter pot of soup that is 50% broth. Fill in the missing parts of the table.

Mathematics

2 answers:

GarryVolchara [31]1 year ago

8 0

Answer:

$c=25$

$d=60$

Step-by-step explanation:

We have been given a table. We are supposed to fill in the missing parts of the table.

$\text{Original amount}+\text{Added}=\text{New}$

$\text{Amount of broth}\Rightarrow25+0$

$\text{Amount of broth}\Rightarrow25$

$c=25$

$\text{Total solution}\Rightarrow50+10$

$\text{Total solution}\Rightarrow60$

$d=60$

Therefore, the value of c is 25 and value of d is 60.

muminat1 year ago

3 0

Answer:

c= 25

d= 60

Step-by-step explanation:

C: This is because 25+0 is 25. You are adding nothing essentially so nothing changes! :)

D: 50 + 10 = 60. Just simple addition!

<h2><em>Hope this helps!</em></h2>

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Cindy found a collection of baseball cards in her attic worth $8,000. the collection is estimated to increase in value by 1.5% p

Sergio [31]

A]
Exponential function is given by the form:
y=a(b)ˣ
where:
a=initial value
b=growth factor
From the question:
a=$8000, b=1.015,
thus the exponential growth function of this situation is:
y=8000(1.015)ˣ

b] The value of the collection after 7 years will be:
x=7 years
Using the formula:
y=8000(1.015)ˣ
plugging the values we get:
y=8000(1.015)⁷
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Answer: $8,878.76

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2 years ago

Callie was billed $416.48 for car repairs. She will pay the service center in 4 equal monthly installments from her bank account

Sav [38]

Answer:

her monthly payments will be $104.12

Step-by-step explanation:

she will pay off the entire bill after 4 months

416.48 - 104.12n = 0

-104.12n = -416.48

n = 4

6 0

1 year ago

Read 2 more answers

The first term of a finite geometric series is 6 and the last term is 4374. The sum of all the term os 6558. find the common rat

Oliga [24]

A geometric series is written as $ar^n$ , where $a$ is the first term of the series and $r$ is the common ratio.

In other words, to compute the next term in the series you have to multiply the previous one by $r$ .

Since we know that the first time is 6 (but we don't know the common ratio), the first terms are

$6, 6r, 6r^2, 6r^3, 6r^4, 6r^5, \ldots$ .

Let's use the other information, since the last term is $4374 > 6$ , we know that $r>1$ , otherwise the terms would be bigger and bigger.

The information about the sum tells us that

$\displaystyle \sum_{i=0}^n 6r^i = 6\sum_{i=0}^n r^i = 6558$

We have a formula to compute the sum of the powers of a certain variable, namely

$\displaystyle \sum_{i=0}^n r^i = \cfrac{r^{n+1}-1}{r-1}$

So, the equation becomes

$6\cfrac{r^{n+1}-1}{r-1} = 6558$

The only integer solution to this expression is $n=6, r=3$ .

If you want to check the result, we have

$6+6*3+6*3^2+6*3^3+6*3^4+6*3^5+6*3^6 = 6558$

and the last term is

$6*3^6 = 4374$

7 0

1 year ago

Need help asap. Consider the diagram.

fgiga [73]

ANSWER

<em>alternate interior angles theorem</em>

EXPLANATION

According to the alternate interior angles theorem, when two parallel lines are are intercepted by a straight line (transversal) the angles in the interior corners of a Z-shape pattern are congruent.

From the above diagram line r is parallel to line s, therefore

$\angle \: 3 \cong \angle6$