Hiroko is trying to find the value of d in 10d + 490 = 2,500. he starts by correctly rewriting the equation as 10(d + 49) = 10(250). How could this help Hiroko figure out the value of d?

Answers

Answer 1

Answer:

Hiroko removed common factors, which leads to smaller numbers, which can be easier to work with.

Step-by-step explanation:

However, this step is not entirely needed in the grand scheme of solving the problem. It simply uses smaller numbers to digest.

Do the opposite of PEMDAS when isolating the variable, d. Note the equal sign, what you do to one side of the equal sign, you do to the other.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)
Multiplication

Division

Addition

Subtraction.

First, subtract 490 from both sides of the equation:

10d + 490 (-490) = 2500 (-490)

10d = 2500 - 490

10d = 2010

Next, divide 10 from both sides of the equation:

(10d)/10 = (2010)/10

d = 2010/10

d = 201

201 is your value for d.

~


Related Questions

b) In a survey among 65 people about their favourite fruits, it was found that the number of people who like mango is twice the number of people who like orange. If 10 people like both fruits and 15 do not like any of them, using Venn diagram find the number of people who like (i) Mango only, (i) Orange . ככה swer 10​

Answers

Answer:

i}. Mango only (no(M))=30

ii}.Orange (n(O))= 20

which expression is equivalent to 60-3y-9

Answers

Answer:

Step-by-step explanation:

60 - 3y - 9

= 60 - 9 - 3y

= 51 - 3y.

Tony cut a piece of string 90 cm long into three in the ratio of 2:5:3.What is the length of the medium piece?

a. 18cm b. 24cm c. 27cm d. 45cm

Answers

Answer:

D

Step-by-step explanation:

We know the ratio of the cut string is 2 : 5 : 3. If we add 2, 5, and 3 together, we get 10. We can do 90 ÷ 10 = 9. Each number in the ratio should be multiplied by 9 to find the actual length after it is cut.

Left piece : 2 x 9 = 18 cm

Middle piece : 5 x 9 = 45 cm

Right piece : 3 x 9 = 27 cm

D is the correct answer.

I hope this helps and please mark me as brainliest!

3. The principal wants to know if students at Meadows Senior High School are in favor of a new dress code at their
school. The principal is not able to ask the opinion of every student at the school, so she needs to select an
appropriate sample of the students to represent the high school. Select which sample of students the principal
should choose.
A. Students randomly selected from a list of all students at the school.
B. Students sitting at randomly selected tables in the library.
C. Students she selects from the hall way between classes.
D. Students selected by the teachers.

Answers

Answer:

(A)

Step-by-step explanation:

(D) is already out since the teachers may have favorites or unfavorites.

(C) is already out since you can't be in all the halls at once.

There is only (A) and (B).

I think it's (A) and not (B) because it might not be a classes/grades library day.

B.Students sitting at randomly selected tables in the library


One side of Dylan's
square bedroom is 10
feet long
What is the
total perimeter of
Dylan's bedroom?

Answers

Answer:

40

Step-by-step explanation:

10+10+10+10 = 40

A square has 4 sides which is why you add 10, 4 times.

i do not know this answer

Answers

18.85 i don’t feel like explaining just trust me

25% of z is 150. Find the value of z.
(Can y’all show your work on this so I know how you got it)

Answers

The answer is 600
25 x 4 =100
150 x 4 = 600
checking work
.25 x 600= 150

Answer:

z = 600

Step-by-step explanation:

Method 1 - ratios

If 150 is 25% then z is 100%:

[tex]\begin{aligned} 150 : 25 & = z : 100\\\dfrac{150}{25} & = \dfrac{z}{100}\\150 \cdot 100 & = 25z\\15000 & = 25z\\z & = \dfrac{15000}{25}\\z & = 600 \end{aligned}[/tex]

Method 2

Calculate the amount for 1%, then multiply by 100% to find z:

25% = 150

⇒ 1% = 150 ÷ 25 = 6

⇒ z = 100% = 6 x 100 = 600

Mr. Blue's first year salary is $30,000 and it doubles each year. What is the explicit
rule for the sequence in simplified form? what is the recursive rule?

Answers

The explicit rule for the sequence in simplified form is y = 30000(2)^n

How to write the exponential function

The standard exponential equation is expressed as:

y = ab^n

Given the following parameters

a is the initial values = 30,000
If the amount doubles each year then b = 2

Substitute the parameters

y = 30000(2)^n

Hence the explicit rule for the sequence in simplified form is y = 30000(2)^n

Learn more on explicit rule here: https://brainly.com/question/2059043

Answer: Explicit Rule: a_n=30,000 • 2^n-1 Recursive Rule: a_n = 2a_n-1; a_1 =30,000

Step-by-step explanation: the Explicit Rule for a geometric sequence is a_n = r • a_n -1 and the Recursive Rule is a_n = a_1 • a_n-1

a_1 is the first term and r is the common ration. In this case, the first term is 30,000 as stated in the question and the common ration is 2 since it doubles each time. So substitute those numbers into the formulas and that’s what you’ll get! Hope this helps! God bless you all!!

Find the area of the trapezoid.
8 cm
6 cm
13 cm
A. 78 cm2
B. 48 cm2
C. 63 cm
D. 104

Answers

Answer:

c; 63 square cm

Step-by-step explanation:

the area of a trapezoid can be described by the equation a = (1/2)(h)(b1 + b2)

this means the height times base 1 and base 2 added together divided by 2

(1/2)(6)(8 + 13) is the equation

this can become 3(21)

which is ultimitaly 63

Answer:

it's gonna be 63cm^2

Step-by-step explanation:

First, were gonna find the area of the rectangular portion, which is 8x6, which is 48cm^2

Next, well do the triangle part. So, we have to subtract 13-8 to get the width of the triangle.

Next, we have to find the area for the triangle. The formula is length x width / 2.

So, we have to multiply 6x5 to get 30.

Then, well divide it by 2, which will give us 15cm^2

Finally, we add the areas of rectangle and the triangle together. 15 + 48 is 63.

Bada-bing, bada-boom, we got 63cm^2 as our answer :)

A researcher wants to study the math scores of high school students in the state of Florida.

Select all

the samples that are biased.


Send a voluntary on-line questionnaire to all Florida high school students.


Randomly select 2,500 high school students in the state of Florida.


Select all students in 20 schools, selected through random sampling.


Select all students in all Miami high schools.

Answers

Using sampling concepts, it is found that these following sample is biased.

Select all students in all Miami high schools.

What is sampling?

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, the only sample that does not englobe all of Florida is the one containing only students from Miami, hence the biased sample is:

Select all students in all Miami high schools.

More can be learned about sampling concepts at https://brainly.com/question/25122507

I need help please and thank you and show work

Answers

Answer:

50 m

Step-by-step explanation:

We find the perimeter by adding all the sides of our figure.

The initial figure has perimeter :

P = 2 + 5 + 1 + 3 + 3 + 1 + 5

P = 20 m

The dilated figure with the scale factor of 2.5 has perimeter:

P = (2 + 5 + 1 + 3 + 3 + 1 + 5 ) · 2.5

P = 20 * 2.5 = 50 m

Charlie is correct.


Kareem rented a truck for one day. There was a base fee of $17.99, and there was an additional charge of 91 cents for each mile driven. Kareem had to pay
$206.36 when he returned the truck. For how many miles did he drive the truck?

Answers

The answer is d I did it in edinuity and got it right

a/b x 8c
when a=2/3
b=1/2
c=3/4

Answers

I believe the answer is 8

The sum of two numbers is eighteen. The total of three times the smaller and twice the
larger is 44. Set up and solve and algebraic equation to find the two numbers.

Answers

Answer:

x=8 y=10

Step-by-step explanation:

x+y =18        x=(18-y)

3(18-y) +2y =44

54-3y+2y =44

54-y =44

-y=-10

y=10

                                     x+10=18

                                      x=8

What's the formula for an arc of a circle?

Answers

the formula I use to find the arc length in a circle is 2πR(θ/360). you can plug this into your calculator it’s the easiest way.

π is pi
R is the radius
θ is the inscribed/central angle

what is the approximate value of x when f(x) = g(x)

Answers

Answer:

I'm a little confused by this question:

Lines and things that are linear are relatively boring in mathematics. What if my function f(x) = g'(x). I’m going to ask the same question in a different way.

What is an approximate value of g'(1.1)?

So I know L(x)=f(a)+f′(a)(x−a)

If I substitute items in, I get g′(x)+g′′(x)(x−x).

Since x−x=0 I always am going to end up with L(x)=g′(x)

I don't think this can be the right answer since I know the whole point is to use the 2nd derivative, but if you get 0 for (x−a), then the whole part ends up being 0. What am I missing here?

I'm completely lost here because these are the followup question after the one above:

Now things are interesting. Suppose g(1) = 0 and g'(1) = 1.

Use linear approximation to approximate the value of g(1.1). The answer to #2 and #3 gives us a slope of a tangent line and a value of a function, which we can use.

Use your previous answers to approximate the value of g(1.2). Somehow, this second derivative has caused an adjustment to our approximation.

What did using the second derivative do to the approximation?

Do you believe the approximation is better or worse than our original?

Step-by-step explanation:

Hello people ~
Help me with the question attached above.
Thanks in advance!!​

Answers

Step-by-step explanation:

radius = 10 cm

volume = v

height h cm

[tex] {10 }^{2} = h - 10 + r { }^{2} \\ {10 = }^{2} h - 20 + r { }^{2} \\ r {}^{2} = 20h - h {}^{2} [/tex]

hope it's helpful thanks

I need help answering this

Answers

Answer: 80%

Step-by-step explanation:

or 85% but i think its 80%

help me, please??????

Answers

Answer:

B

Step-by-step explanation:

The slope of this function is obviously decreasing, and the point where it intersects the y axis, is (0,-2)

Answer B contains this information

Hope this helps!

HELP I NEED TO TURN IN TOMORROW

ken says that 9138 rounded to the nearest thousand is 9,100 because 3 is less than 5

what might be Ken's misunderstanding about rounding _________?
help ken correct his misunderstanding ______________________________?

Answers

Answer:

Ken's misunderstanding is that you have to round starting from the 1st number that is behind what your rounding to. In this case Ken needs to start from 1 and round instead of starting from 3. So  you would round the 9,000 by looking at the 1 and seeing if you should round up or down. You want to round down because 1 is less than 5. If Ken rounds from 1 the real answer should be 9,000

Step-by-step explanation:

How do I graph n>8 on a number line.

Answers

Answer:

Math-Graphing Inequalities on a Number Line (the basics)

Step-by-step explanation:

Your brother is twice as tall as your sister.
A player scored 5 less points than Rodger.
8 fewer than the sum of 14 and a number

Answers

What’s the question

Please answer this with an explanation

Answers

Answer:

35 feet

Step-by-step explanation:

when the flare is fired , time t = 0

substitute t = 0 into the equation

f(0) = - 10(0)² + 60(0) + 35 = 0 + 0 + 35 = 35

Answer:

the correct answer would be 35  feet

Step-by-step explanation:

hope this helps

If q is inversely proportional to p and q =120 and p=2

Answers

Answer:

complete your question please

the ratio of the 6th and 8th term of an ap is 7:9. find the ratio between the sum of its first 10 terms to sum of its first 20 terms

Answers

Step-by-step explanation:

Tn = a + (n-1)d

where a is the first term, d is the common difference and n is the nth term

For the 6th term: T6 = a + (6-1)d

= a + 5d

For the 8th term: T8 = a + (8-1)d

= a + 7d

From the question (a + 5d)/(a + 7d) = 7/9

From the Equation above, we can say that;

a + 5d = 7......1

a + 7d = 9.....2

Solving equations 1 & 2 simultaneously, we have that a = 2 and d = 1

Sn = n/2[2a + (n-1)d]

where Sn is the sum of nth terms, n is the nth term, a is the first term and d is the common difference.

By substituting the values gotten into this equation. You would be able to find the ration between the sum of the first 10 terms to the sum of the first 20 terms

Answer:

see analysis for detailed explanation

In January, Mr. Cooper started a new exercise plan weighing 200 pounds. In March, he found his weight had increased by 5% because the exercise had increased his muscle mass. He added some work on the treadmill to his exercise routine found in May that he had dropped 6% from his March weight.

Answers

Step-by-step explanation:

100%+5%=105%

105/100*200=210

100%-6%=94%

94/100*210

Scaling factors! Help!

Answers

Answer:

x=15
y=2

Step-by-step explanation:

the scale factor is 6:1

if you divide 12 by 6 you get 2
so y=2

if you multiply 6 by 2.5 you get 15
so x=15

If P={a,b,c} and Q={r}, form the sets PUQ?

Answers

P={a,b,c}
Q={r}
PuQ is simply means combining them without repeating the same values
For example if
A={1,2} and b={1}
AuB= {1}
So now for this question
PuQ={a,b,c,r}
Hope this helps
Have a great day

I need help on this question

Answers

Answer:

Step-by-step explanation:

A circular flower bed in a botanical garden has a radius of 4 feet. what is the area of the flower bed? use 3.14 for π . enter your answer to the nearest hundredths place in the box. question 7 options:

Answers

Area of a circle is radius squared•pi. 4squared is 16. 16•3.14=50.24

The area of the flower bed has a radius of 4 feet is 16π or 50.24 square feet.

What is a circle?

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

A circular flower bed in a botanical garden has a radius of 4 feet.

Then the area of the flower bed will be

Area = π r²

Area = π × 4²

Area = 16π

Area = 16 × 3.14

Area = 50.24 square feet.

More about the circle link is given below.

https://brainly.com/question/11833983

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