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3 years ago

Find the sum of (6d+5)-(2-3d)

Mathematics

1 answer:

devlian [24]3 years ago

7 0

I think you have to combine like terms to solve this one. (6d - 3d) + (5 - 2) = 3d + 3

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How many liters each of a 45% acid solution and a 70% acid solution must be used to produce 50 liters of a 65% acid solution? (R

puteri [66]

Answer:

The number of liters of the 45% acid solution = 10 liters

The number of liters of the 70% acid solution is = 40 liters

Step-by-step explanation:

How many liters each of a 45% acid solution and a 70% acid solution must be used to produce 50 liters of a 65% acid solution? (Round to two decimal places if necessary.)

Let x be the number of liters of the 45% acid solution

The number of liters of the 70% acid solution is y

x + y = 50

x = 50 - y

Also

How many liters each of a 45% acid solution and a 70% acid solution must be used to produce 50 liters of a 65% acid solution?

We have:

45% × x + 70% × y = 65% × 50

0.45x + 0.70y = 0.65 × 50

0.45x + 0.70y = 32.5

We substitute x = 50 - y in the equation

0.45(50 - y) + 0.70y = 32.5

= 22.5 - 0.45y + 0.70y = 32.5

= - 0.45y + 0.70y = 32.5 - 22.5

= 0.25y = 10

Divide both sides by 0.25

= y = 10/0.25

y = 40 liters

x = 50 - y

x = 50 - 40

x = 10 liters

Hence,

The number of liters of the 45% acid solution = 10 liters

The number of liters of the 70% acid solution is = 40 liters

3 0

3 years ago

A cashier has only one-dollar bills, quarters, and dimes. List more than 5 ways you could receive $2.50 in change

Andreas93 [3]

1: 10 quarters
2: 20 dimes
3: a dollar and 5 dimes
4: a dollar and 2 quarters
5: 6 quarters and 15dimes

4 0

3 years ago

Which is a stretch of an exponential decay function ?

sergiy2304 [10]

Using translation concepts, a stretch of a decay exponential function is given by:

$f(x) = 5\left(\frac{1}{5}\right)^x$

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

An exponential decay function is given by:

$y = ab^x$

In which |b| < 1.

A stretch means that the function is <u>multiplied by a factor with absolute value greater than 1</u>, hence the function would be given by:

$f(x) = 5\left(\frac{1}{5}\right)^x$

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

7 0

2 years ago

There are 250 students taking either band or chorus. If there are 180 students taking band and 60 students in both band and chor

Olegator [25]

Answer:

<em>There are </em><em>70</em><em> students only in chorus.</em>

Step-by-step explanation:

Total number of students is 250

Out of 250, 180 students took band.

And 60 took band and chorus, i.e this is the intersection of the 2 groups.

The Venn diagram is attached below.

So, the number of students who took only band = 180-60 = 120

Total number of students or sum of the 3 regions is 250.

So, the number of students who took only chorus = 250-180 = 70

4 0

3 years ago

All you need is in the photo

Deffense [45]

Answer:

Bottom to top -

0,-3

0,1

1,2

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3 years ago