Michael spent $210 on school supplies and books. This amount was 30% of his savings.
How much was his savings?

Answers

Answer 1
Michael saved $63. I calculated this by taking the cost times the savings, so $210 * 30% or $210 * .3, which gets me $63.

Related Questions

please make a word problem out of this equation x + 3 > 2
like someone make a word problem like bob had this much apples something like that with that equation.
please and Thankyou​

Answers

Answer:

Bob had x apples and Mary had 2 apples. After Bob received 3 more apples from his mother, Bob had more apples than Mary. How many apples did Bob have at first?

Step-by-step explanation:

The inequality sign > shows that x + 3 is more than 2.

You have 48 markers, 64 stickers, how many bags can you put them in equally

Answers

Answer:

8

Step-by-step explanation:

1) find the least common denominator

48/8=6

64/8=8

2) check

8 times 6 is 49

8 times 8 is 64

In the following expression, both A and B are variables that can take positive values.
2\sqrt(A)-(B)/(5)

Which of these actions will cause the expression's value to increase?

Choose 2 answers:

(Choice A)
Keeping A constant and increasing B

(Choice B)
B
Keeping A constant and decreasing B

(Choice C)
C
Increasing A and keeping B constant

(Choice D)
D
Decreasing A and keeping B constant

Answers

Answer:

(Choice B) Keeping A constant and decreasing B

(Choice C) Increasing A and keeping B constant

Step-by-step explanation:

Let us analyze these two options.

2√a - b /5

(Choice B) Keeping A constant and decreasing B

Let a = 100 and b= 30

2√100 - 30/5

= 2(10) - 6

= 20 -6= 14

But if A is kept constant and B is decreased to 20

2√100 - 20/5

= 2(10) - 4

= 20 -4= 16

We see the expression value has increased from 14 to 16.

Similarly analyzing Option C

(Choice C) Increasing A and keeping B constant

Let a = 100 and b= 30

2√100 - 30/5

= 2(10) - 6

= 20 -6= 14

Now increasing A to 121 and keeping B constant would give

Let a = 100 and b= 30

2√121 - 30/5

= 2(11) - 6

= 22 -6= 16

This also increases the expression's value

But the other two choice A and D do not give the same result.

Let a = 100 and b= 30

2√100 - 30/5

= 2(10) - 6

= 20 -6= 14

(Choice A)

Keeping A constant and increasing B

2√100 - 40/5

= 2(10) - 8

= 20 -8= 12

This decreases the value .

Also

(Choice D)

Decreasing A and keeping B constant

2√81 - 40/5

= 2(9) - 8

= 18 -8= 10

This also decreases value

The correct choices are B and C

Answer:

the acutal solution is B and D

Rewrite the equation -3x+6y=42 in slope intercept form. Show all steps to receive full credit

Answers

Answer:

-3x+6y=42

-3x+6y-42=0

-x+2y-14=0

x-2y+14=0

Answer:

Step-by-step explanation:

Slope intercept form: y = mx + c

-3x + 6y = 42

        6y = 3x + 42

          y = [tex]\frac{3}{6}x + \frac{42}{6}[/tex]

      y = [tex]\frac{1}{2}x + 7[/tex]

PLZ ANSWER THIS AND GIVE AN EXPLANATION!!!
I WILL MARK BRAINLIEST!!!

Answers

Answer:

-3+(-5)=-8

-5+(-3) is also -8

Step-by-step explanation:

if the parenthesis is separating the + and - then you just add the numbers and add the symbol.

3
If a is 63% of x and c is
8
the closest equivalent of the ratio of a to c?
ã of x, which of the following is
O
С C
E

Answers

Answer:

The closest equivalent of the ratio of a to c will be:

a/c=1.680

Step-by-step explanation:

As 'a' is 63% of x

so

[tex]a=0.63x[/tex]

As 'c' is 3/8 of x

so

c=3/8

Thus, the closest equivalent of the ratio of a to c will be:

a/c = (0.63x)/(3/8x)

      = 1.680

Therefore, the closest equivalent of the ratio of a to c will be:

a/c=1.680

How many yards will the players have run ?? Please help

Answers

Answer:

125.3 yards

Step-by-step explanation:

He wants them to run the  so 110^2+60^2 =which is 125.3.

Hope this helps plz mark brainliest :D

What is the volume of a cylinder ft, with a height of 9 feet in a base diameter of 16ft? Round to the nearest tenths place ?

Answers

1809.56ft³ <<<<<<<<<<<<<<<<Answer

Answer:

452.7 ft³

Step-by-step explanation:

sooooo first you find the radius of the base.

Radius=16/2=8

now you find the area of the base:

Area of a circle=2(pi)(radius)=50.3 ( rounded up to the nearest 10ths)

now to get the volume:

volume of a cylinder=Base*hight=50.3*9= 452.7 ft³

Find the next three terms of the sequence: 33, 25, 18, 12, …….
a) 7, 2, -1
b) 8, 3, 0
c) 7, 3, 0
d) 6, 2, -1
pls help and show work

Answers

The answer is D just keep subtracting 6

The required terms are 7, 3 and 0. The correct option is (c).

What is an arithmetic sequence?

An arithmetic sequence is a kind of sequence of numbers where the difference of any two consecutive terms are the same.

This difference is known as the common difference of the sequence.

The given sequence is as below,

33, 25, 18, 12, …….

The difference between the consecutive terms is given as,

D₁ = 25 - 33

    = -8

D₂ = 18 - 25

     = -7

D₃ = 12 - 18

    = -6

It is clear that the difference between the consecutive terms are in arithmetic progression.

Thus, the next differences can be found as,

D₄ = -6 + 1

     = -5

D₅ = -5 + 1

    = -4  

And, D₆ = -4 + 1

             = -3

The next three terms of the sequence can be written as,

12 - 5 =7, 7 - 4 = 3, 3 - 3 = 0.

Hence, the next three terms of the given sequence are 7, 3 and 0.

To know more about arithmetic sequence click on,

https://brainly.com/question/15412619

#SPJ2

Declan has $45 dollars in his bank account. He accidentally breaks a glass and has to pay to replace it. He now has $9 in his bank account. What is the percent decrease?

Answers

Answer: The percent decrease is 98.44 brainliest please :)


14) Find the product of seven times five and two
thousandths.

Answers

Answer:

35.015

Step-by-step explanation:

see attached image

In the diagram shown, M, N and P are collinear and QM=QN as shown. If mMQN = 48" and
mNQP = 33. Justify why QNP must be isosceles.

Answers

Answer/Step-by-step explanation:

Let's find the measure of the angles of ∆QNP.

∆QMN is am isosceles ∆, because it has two equal sides. Therefore, its base angles would be the same. Thus:

m<MNQ = ½(180 - 48) (one of the base angles of ∆QMN)

m<MNQ = ½(132) = 66°

Next, find m<QNP

m<QNP = 180° - m<MNQ (linear pair angles)

m<QNP = 180° - 66° (Substitution)

m<QNP = 114°

Next, find m<P

m<P = 180 - (m<QNP + m<PQN) (sum of ∆)

m<P = 180 - (114 + 33)

m<P = 180 - 147

m<P = 33°

Thus, in ∆QNP, there are two equal angles, namely, <P and <PQN.

An isosceles ∆ had two equal base angles. Therefore, ∆QNP must be an isosceles ∆.

An isosceles triangle is that the triangle must have two sides of equal length.

Triangle QNP is isosceles triangle because, QN = PN

In triangle QMN,  

        Since,  QM = QN

 So,  ∠QMN = ∠QNM

By property of triangle:

∠MQN + ∠QNM + ∠QMN = 180

   48 + 2 ∠QNM = 180

              ∠QNM = [tex]\frac{180-48}{2}[/tex] = 66  degree

  So, ∠QMN = ∠QNM = 66 degree

from figure,

    ∠QNM + ∠QNP = 180

                    ∠QNP = 180 - 66 = 114 degree.

In triangle QNP,  

              ∠QNP + ∠PQN + ∠QPN = 180

                        ∠QPN = 180 - 33 - 114 = 33 degree

Since,     ∠QNP = ∠QPN = 33 degree

Therefore, triangle QNP is isosceles triangle.

Learn more:

https://brainly.com/question/19414224

The concentration C of certain drug in a patient's bloodstream t hours after injection is given by

C(t)= t/3t^2+5

Required:
a. Find the horizontal asymptote of C(t). (Answer must be in slope-intercept form.)
b. Determins what happens to the concentration of the drug as t increases. As t increases, what value will c(t) approach.
c. Determine the time at which the concentration is highest.

Answers

Answer:

a) The horizontal asymptote of [tex]C(t)[/tex] is [tex]c = 0[/tex].

b) When t increases, both the numerator and denominator increases, but given that the grade of the polynomial of the denominator is greater than the grade of the polynomial of the numerator, then the concentration of the drug converges to zero when time diverges to the infinity. There is a monotonous decrease behavior.  

c) The time at which the concentration is highest is approximately 1.291 hours after injection.

Step-by-step explanation:

a) The horizontal asymptote of [tex]C(t)[/tex] is the horizontal line, to which the function converges when [tex]t[/tex] diverges to the infinity. That is:

[tex]c = \lim _{t\to +\infty} \frac{t}{3\cdot t^{2}+5}[/tex] (1)

[tex]c = \lim_{t\to +\infty}\left(\frac{t}{3\cdot t^{2}+5} \right)\cdot \left(\frac{t^{2}}{t^{2}} \right)[/tex]

[tex]c = \lim_{t\to +\infty}\frac{\frac{t}{t^{2}} }{\frac{3\cdot t^{2}+5}{t^{2}} }[/tex]

[tex]c = \lim_{t\to +\infty} \frac{\frac{1}{t} }{3+\frac{5}{t^{2}} }[/tex]

[tex]c = \frac{\lim_{t\to +\infty}\frac{1}{t} }{\lim_{t\to +\infty}3+\lim_{t\to +\infty}\frac{5}{t^{2}} }[/tex]

[tex]c = \frac{0}{3+0}[/tex]

[tex]c = 0[/tex]

The horizontal asymptote of [tex]C(t)[/tex] is [tex]c = 0[/tex].

b) When t increases, both the numerator and denominator increases, but given that the grade of the polynomial of the denominator is greater than the grade of the polynomial of the numerator, then the concentration of the drug converges to zero when time diverges to the infinity. There is a monotonous decrease behavior.  

c) From Calculus we understand that maximum concentration can be found by means of the First and Second Derivative Tests.

First Derivative Test

The first derivative of the function is:

[tex]C'(t) = \frac{(3\cdot t^{2}+5)-t\cdot (6\cdot t)}{(3\cdot t^{2}+5)^{2}}[/tex]

[tex]C'(t) = \frac{1}{3\cdot t^{2}+5}-\frac{6\cdot t^{2}}{(3\cdot t^{2}+5)^{2}}[/tex]

[tex]C'(t) = \frac{1}{3\cdot t^{2}+5}\cdot \left(1-\frac{6\cdot t^{2}}{3\cdot t^{2}+5} \right)[/tex]

Now we equalize the expression to zero:

[tex]\frac{1}{3\cdot t^{2}+5}\cdot \left(1-\frac{6\cdot t^{2}}{3\cdot t^{2}+5} \right) = 0[/tex]

[tex]1-\frac{6\cdot t^{2}}{3\cdot t^{2}+5} = 0[/tex]

[tex]\frac{3\cdot t^{2}+5-6\cdot t^{2}}{3\cdot t^{2}+5} = 0[/tex]

[tex]5-3\cdot t^{2} = 0[/tex]

[tex]t = \sqrt{\frac{5}{3} }\,h[/tex]

[tex]t \approx 1.291\,h[/tex]

The critical point occurs approximately at 1.291 hours after injection.

Second Derivative Test

The second derivative of the function is:

[tex]C''(t) = -\frac{6\cdot t}{(3\cdot t^{2}+5)^{2}}-\frac{(12\cdot t)\cdot (3\cdot t^{2}+5)^{2}-2\cdot (3\cdot t^{2}+5)\cdot (6\cdot t)\cdot (6\cdot t^{2})}{(3\cdot t^{2}+5)^{4}}[/tex]

[tex]C''(t) = -\frac{6\cdot t}{(3\cdot t^{2}+5)^{2}}- \frac{12\cdot t}{(3\cdot t^{2}+5)^{2}}+\frac{72\cdot t^{3}}{(3\cdot t^{2}+5)^{3}}[/tex]

[tex]C''(t) = -\frac{18\cdot t}{(3\cdot t^{2}+5)^{2}}+\frac{72\cdot t^{3}}{(3\cdot t^{2}+5)^{3}}[/tex]

If we know that [tex]t \approx 1.291\,h[/tex], then the value of the second derivative is:

[tex]C''(1.291\,h) = -0.077[/tex]

Which means that the critical point is an absolute maximum.

The time at which the concentration is highest is approximately 1.291 hours after injection.

Solve for a.

Pythagorean Theorem: a^2+b^2=c^2

Answers

Answer:

square root of 16

Step-by-step explanation:

please help asap question 3****

Answers

Answer:

answer is c

Step-by-step explanation:

C is the only one with the correct slope

change 0.18 into a ratio​

Answers

Please mark me as Brainliest ......
The answer is 9:50
0.18= 0.18/1
Divided both 0.18 and 1 by 100 to get 18/100
Then divide 18/100 by 2
18 ÷2
100 ÷2 = 9/50

combine like terms 2.4m- 125 + 1.8b+ 92.4​

Answers

Answer:

2.4m+1.8b−32.6

Step-by-step explanation:

Group like terms together

1. 2.4 m + \left( - 125 + 92.4 \right) + 1.8 b2.4m+(−125+92.4)+1.8b

2 . Add or subtract the numbers

2.4 m- 32.6 + 1.8 b2.4m−32.6+1.8b

3 . Rearrange the expression

2.4 m + 1.8 b- 32.62.4m+1.8b−32.6

Answer:

2.4m+1.8b-32.6

Step-by-step explanation:

2.4m- 125 + 1.8b+ 92.4​

2.4m+1.8b-32.6

Question
9. Deb ordered a set of red and yellow pins. She received 220 pins, and 40% of them were red. How many yellow pins did Deb
receive?
I’ve never been good with math, can u help?

Answers

there would be 132 yellow pins because 60% of 220 equals 132

I have 12 coins x of them are R5 coins and the rest are R1 coins. An expression in the in terms of x for the number of R1 coins I have is​

Answers

Answer:

ans= 12-x=r1 coin...

Step-by-step explanation:

hope u can do..

What is the slope of the line shown below?

Answers

Answer:

m=-2

Step-by-step explanation:

Marty collects colorful paper clips. Each week he is sure to add exactly five new paper clips to his collection. Make a table representing this situation. Is the number of paper clips and arithmetic or geometric sequence? How do you know? I need the answer by today please​. Whoever answer is correct I will make brainliest​

Answers

Answer:

all of them

Step-by-step explanation:

(Ill give brainliest!! Pls explain your reasoning tho)



What is a reasonable estimate for the equation 9.8 ÷ 5 = ________?


A) 6

B) 5

C) 3

D) 2

Answers

Answer:

i think its C

Step-by-step explanation:

I dunno i just think its C

David cycled 4 laps on a bicycle path surrounding a lake. Each lap was the same length. If he cycled a total of 13.2 mi, what was the length of each lap around the lake? Write your answer in feet.

Answers

it's probably 17424 feet

Tell whether (1,-1) is a solution of y
9x - 10

Answers

Answer:

yes, it is

Step-by-step explanation:

plug in the point (1, -1) (x,y) into the equation y = 9x - 10

-1 = 9(1)-10

-1 = 9-10

-1=-1

The elephant's foot was discovered a couple months after the meltdown. This was the result of the reactor Melting creating lava

Answers

Answer:

Ok, that‘s not a question, it‘s a statemen. So what‘s your point

Step-by-step explanation:

Which ratio is equivalent to the ratio 7 : 350?

Answers

Answer:

Choice D. 17:850

Answer:

D

Step-by-step explanation:

17/7=2.42857142857

multiply 350 by that big number=850 So D

which table represents a proportional relationship that has a constant proportionality equal to 0.8

Answers

Answer:

1x0.8=0.8 ,10x0.08=0.8 and 100x0.008=0.8

Step-by-step explanation:

Subtract 52.35 − 1.58 =

(5 points)

Answers

Answer: 50.77
It says I need more characters, so I’m adding this

Answer:

52.35-1.58= 50.77

Step-by-step explanation:

Betty is making a scale model of her house as a project for her math class. The scale she is using is 1 inch: 4 feet. The actual house is 80 feet long. What will be the length of the model?

Answers

Answer:

20 inches

Step-by-step explanation:

80 / 4 = 20 !!!!! <3

School lunch costs $1.25 per day. If there are 21 school days
this month, how much would it cost to eat at school all
month?. SHOW YOUR WORK., i need help asap

Answers

Answer:

$26.25

Step-by-step explanation:

1.25 per day

21 days

1.25 × 21 = 26.25

It will cost you $26.25 dollar for 21 days.
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