In which of the options below will the number 3 correctly fill in the blank. Select all that apply. A) ___ : 4 = 12 : 16 B) 1 : 5 = ___ : 15 C) ___ : 1 = 12 : 3 D) 15 : ___ = 3 : 1

Answers

Answer 1

Answer:

A and B

Step-by-step explanation:

Given

List of given options

Required

Which will correctly take 3 to fill the blank

Represent the blanks with x

Option A:

[tex]x : 4 = 12 : 16[/tex]

Convert to fractions

[tex]\frac{x}{4} = \frac{12}{16}[/tex]

Multiply through by 4

[tex]4 * \frac{x}{4} = 4 * \frac{12}{16}[/tex]

[tex]x = \frac{48}{16}[/tex]

[tex]x = 3[/tex]

Option B:

[tex]1 : 5= x : 15[/tex]

Convert to fraction;

[tex]\frac{1}{5} = \frac{x}{15}[/tex]

Multiply through by 15

[tex]15 * \frac{1}{5} = \frac{x}{15} * 15[/tex]

[tex]15 * \frac{1}{5} = x[/tex]

[tex]3 = x[/tex]

[tex]x = 3[/tex]

Option C:

[tex]x : 1 = 12 : 3[/tex]

Convert to fraction

[tex]\frac{x}{1} = \frac{12}{3}[/tex]

[tex]x = 4[/tex]

Option D

[tex]15:x = 3:1[/tex]

Convert to fraction

[tex]\frac{15}{x} = \frac{3}{1}[/tex]

Cross Multiply

[tex]3 * x = 15 * 1[/tex]

[tex]3 * x = 15[/tex]

Divide through by 3

[tex]x = 5[/tex]

From the above calculations.

Option A and B can be filled with 3


Related Questions

Please help and thank you

Answers

the answer is D
inverse: f^-1(x)= (x+4)^2
domain: x is greater than or equal to 0

Find the value of x. Give reasons to justify your solution. D ∈ AC

Answers

Answer:

x = 13

Step-by-step explanation:

Find the diagram attached

From the diagram, the sum of angle of the straight line BCD is 180°. Hence;

<BCE+<ECF<90 = 180

<BCE+64+90=180

<BCE+154 = 180

<BCE = 180-154

<BCE = 26°

Next is to get x.

The sum of interior angles <BCE and <BEC is equal to exterior angle <ABE

<BCE + <BEC = <ABE

26+x = 3x

Collect like terms

26 =3x-x

26=2x

x = 26/2

x = 13

Hence the value of x is 13

HELP PLS WILL GIVE BRAINLIEST i feel like the answer is either a or b but im too indecisive so idkkk D: pls help and explain, thank you

Answers

Answer: it’s C

Step-by-step explanation: ^

Answer:

the domain of f(x) is x > 0

Step-by-step explanation:

mark brainliest

If there are 328 million people and 228 thousand become infected each day, how long will it take for all to be infected?

Answers

Answer:

1438.6 days

Step-by-step explanation:

We are told in the above question that:

228,000 people get infected per day. Hence, how long it would take for 328,000,000 people to be infected is calculated as:

228,000 people = 1 day

328,000,000 people = x days

Cross Multiply

228,000 people × x days = 328,000,000 people × 1 day

x days = 328,000,000 people × 1 day/228,000 people

x days = 1438.5964912 days

Approximately = 1438.6 days

Therefore, it would take 1438.6 days for 328,000,000 people to be infected.

Escribe dos numeros cuyo maximo comun divisor sea 210 y que esten entre 10000 y 11000

Answers

Let [tex]p[/tex] and [tex]q[/tex] be two numbers, such that

[tex]10000 < 210p < 11000, \quad 10000 < 210q < 11000[/tex]

If [tex]p[/tex] and [tex]q[/tex] have no common factors, the greatest common factor between [tex]210p[/tex] and [tex]210 q[/tex] is obviously 210.

If we divide the inequalities above by 210, we see that

[tex]\dfrac{10000}{210} < p < \dfrac{11000}{210}, \quad \dfrac{10000}{210}< q< \dfrac{11000}{210}[/tex]

And rounding to the nearest integer, we deduce that [tex]p[/tex] and [tex]q[/tex] must be between 48 and 52.

We may pick [tex]p=49[/tex] and [tex]q=50[/tex], because they have no common factors. So, our numbers would be

[tex]210\cdot 49=10290,\quad 210\cdot 50=10500[/tex]

Luis wants to buy a skateboard that usually sells for $79.76. All merchandise is
discounted by 12%. What is the total cost of the skateboard if Luis has to pay a state
sales tax of 6.25%. Round your intermediate calculations and answer to the nearest
cent.

Answers

Answer:

$75.14 is the correct answer

Answer:

ert4tt45poti3905835049098534085983344533453

Step-by-step explanation:5

34534534353433434

5

3

5

3

45

3

543

354

3

53

4

53

5

34

5

44543

353

A representative sample of oak trees in a forest shows the trees to have a mean
circumference of 19.7 inches and a standard deviation of 1.3 inches. Assuming the
circumferences are normally distributed, estimate the proportion of oak trees in this forest that have a circumference greater than 21 inches.

Explain or show your reasoning.

Answers

Answer:

15.87% portion of oak trees in this forest have a circumference greater than 21 inches

Step-by-step explanation:

Given that

Mean = μ = 19.7 inches

SD = σ = 1.3 inches

We have to find the probability of circumference greater than 21 inches

Let x = 21 inches

First of all we have to find the z-score of the value

z-score is given by the formula

[tex]z = \frac{x-mean}{SD}[/tex]

Putting the values

[tex]z = \frac{21-19.7}{1.3}\\z = \frac{1.3}{1.3}\\z = 1[/tex]

We will use the z-score table to find the probability of x<21

P(z<1)  = 0.8413

The value gives us the area under the curve up till that value

To find the greater than probability, we have to subtract less than probability from 1.

P(z>1) = 1 - P(z<1) = 1 - 0.8413 = 0.1587 => 15.87%

Hence,

15.87% portion of oak trees in this forest have a circumference greater than 21 inches

what's the measure of the top left angle in this triangle and whats the measure of the top right angle?​

Answers

Answer:

where is the image to solve

Step-by-step explanation:

hint: all angles should equal to 180 added up

Write the equation of this line in slope intercept form

Answers

Answer:

y = -10x + 60

Step-by-step explanation:

slope: rise/run = 10/-1x = -10x

y-intercept: 60

equation: y = mx + b,

y = -10x + 60

Ace Carlos

Answer:

y=-10x+60

Step-by-step explanation:

your first point is at 60

and it's going down by 10

Pleaseeeee helppp !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

26

Step-by-step explanation:

just add a few points

Write the equation in standard form. Identify the vertex, axis of symmetry, and direction of opening of the parabola. show work

y = x ^ 2 + 2x + 2

Answers

here ya go ❤️❤️❤️❤️❤️

Two brothers are 3 year apart in age. The sum of their ages is 35.How old is the younger brother?

Answers

Answer:

The younger brother is 16 years old.

Step-by-step explanation:

The younger brother is aged x.

It follows that the older brother is aged x+3.

x + (x+3) = 35

2x + 3 = 35

2x = 32

x = 16

Answer:

they are 16 and 19

the younger bro is 16

Step-by-step explanation:

if you add 16 and 19 you get 35

Hope this helps!! Pls mark me brainliest!!

PLEASEEEEEEE HELPPPPPPPP!!

Answers

Answer:

Step-by-step explanation:

hi

The bank agrees to give you a loan of $7,000 with 1% simple interest over 2 years. How much will your monthly payments be? ​

Answers

Answer:

25550 is The Answer i think

Find f(3) if
f(x)=x^3 + 2x^2-x-1

Answers

Answer:

[tex] \underline{ \boxed{f(3) = 41}}[/tex]

Step-by-step explanation:

[tex] if \to \: f(x)=x^3 + 2x^2-x-1 \\ then \: f(3) = {3}^{3} + 2( {3)}^{2} - 3 - 1 \\ f(3) = 27 + 18 - 4 \\ f(3) = 41[/tex]

Tyra's family is spending the afternoon in Millersville. They plan to see a movie and then explore the town. The movie will cost the family $36, and parking costs $4 per hour.



What cost is constant? That means which amount doesn't depend on how long they are there?

A. $36

B. $4

Answers

A is the correct one I just did this

Which expression represents a positive number? A. -9.8 x (-23.5) B. 9.8 x (-23.5) C. 23.5 x (-9.8) D. -23.5 x 9.8

Answers

Answer: Option A

Step-by-step explanation: if we multiply two negative numbers we get a positive result, pls give brainliest

Answer:

A represents a positive number

Step-by-step explanation:

(−9.8) x (-23.5) = 230.3x

this is a rational equation i don't understand lol

-2 1/4 = 2w

Answers

Answer:

[tex]w=-9/8[/tex]

Step-by-step explanation:

We are given the equation [tex]-2 \frac{1}{4} = 2w[/tex]. To solve this equation, we can divide both sides by 2 to get that [tex]w = -2\frac{1}{4} \div 2 = -\frac{9}{8}[/tex].

Answer:

w = - [tex]\frac{9}{8}[/tex]

Step-by-step explanation:

Given

- 2 [tex]\frac{1}{4}[/tex] = 2w ( change the mixed number to an improper fraction )

- [tex]\frac{9}{4}[/tex] = 2w ( multiply both sides by 4 to clear the fraction )

- 9 = 8w ( divide both sides by 8 )

- [tex]\frac{9}{8}[/tex] = w

Which of the following is the multiplicative inverse of 4?
16

-4

1/4

-1/4

Answers

1/4 is the answer to the problem

Jackson is buying a new TV for $650. He will also be
charged 7.5% in sales tax. What will be Jackson's total bill?

Is the answer 48.75

Answers

Answer:

his total bill would be 698.75

Step-by-step explanation

you only did half of the problem lol.

48.75 is just the sales tax. to get the total bill, you need to add 650 to 48.75 because 650 is the actual price of the TV

hope this helps :)

Answer:

This is an percentage change question to calculate this, simply:

7.5% * 650 is 48.75 (You are correct here)

But the question

asks for) "Jackson' total bill) therefore its 48.75 + 650 = 698.75

Cheers! :)

What is included between two congruent sides in an isoceles triangle

Answers

In an isosceles triangle that has exactly two equal sides, the equal sides are called legs and the third side is called the base. The angle included by the legs is called the vertex angle and the angles that have the base as one of their sides are called the base angles.

A 64-ounce bottle of apple juice costs $1.35. What is the approximate unit price for this bottle of apple juice?

Answers

The approximate unit price for the juice is about $0.50

Step-by-step explanation:

To find the unit price of an item, you must divide the price ($1.35) by how many units the item has (64 ounces). So 64 divided by 1.35 would be 47, or 50 since it's asking for the approximate unit price. Convert it and you have your answer. $0.50. Hope this helps :) I apologize if it's not completely correct

Write four and five-eighths as an improper fraction and as a mixed number.
A. start fraction 37 over 8 end fraction, 5Four-eighths
B. start fraction 44 over 8 end fraction, 5Four-eighths
C. start fraction 37 over 8 end fraction, 4start fraction 5 over 8 end fraction
D. start fraction 32 over 8 end fraction, 4start fraction 5 over 8 end fraction
PLEASE HELP WORTH 20 POINTS

Answers

Answer:

the answer is c.

Step-by-step explanation:

i multiply the 4 by the 8 on the denominator and add that answer to the numerator which equal to 37/8

and the mixed number stays the same since its already mixed.

Answer:

C

Step-by-step explanation:

y=–6x+2
–12x – 2y=–4
How many solutions does this linear system have?

O one solution: (0, 0)
O one solution: (1, –4)
O no solution
O infinite number of solutions

Answers

Answer:

3 no solution

Step-by-step explanation:

I'm a smart man I would know trust me

I have my masters degree

can anyone help me please? thanks ^^

Answers

Answer:

bruh im learning this right now, im pretty sure its ASA

Its for sure AAS congruence.....100%

Can you someone please solve 2 and 3

Answers

Answer:

I think the first one is 4 and the second one is 2

Step-by-step explanation:

A group of 5 friends want to buy a flat-screen TV for $210. The tax comes to $15. Write and solve a multiplication equation to find how much money each person should pay if each person pays the same amount.

Answers

Answer:

$45

Step-by-step explanation:

In order to create a multiplication equation, we would need to use a single variable that represents the amount that each friend will pay. This can be represented by the variable x. We multiply this variable by the number of friends which should equal the total of the TV with the tax included. Like so...

$210 + $15 = 5x

Now that we have the equation we can go ahead and solve it by adding the total and the tax, and then dividing both sides by 5 in order to isolate x.

$210 + $15 = 5x

$225 = 5x

$45 = x

Finally, we can see that each friend will pay the same amount which is $45

Huilan's age is three times Thomas's age. The sum of their ages is 64. What is Thomas's age?

Answers

Answer:

16

Step-by-step explanation:

Answer: 16 years old

Step-by-step explanation:

Find the 10th term of the geometric sequence show below
3x^7,9x^9, 27x^11...

PLEASE ANSWER!! TY

Answers

Answer:

t_10 = 59049 x^25

Step-by-step explanation:

a = 3x^7

r = 3 x^2

t_10 = (3x^7)(3x^2)^10

t_10 = 3x^7 3^(10-1) * (x^2)^(10 - 1)

t_10 = 3x^7 * 3^9 * (x^2)^9

t_10 = 3x^7 * 19683 x^18

t_10 = 59049 x^25

what is the answer to 7x8(8/2)

Answers

Answer:

224

Step-by-step explanation:

1. first divide 8/2 in the parentheses which will give you 4

2. Then multiply 4 to 8 which will give you 32

3. finally multiply 32 to 7 which will give you an answer of 224

Other Questions
lIf f) = 6x -4, what is f(x) when x= 8? Which health and medical science career is most closely associated with the promotion of global health and wellness?epidemiologistpharmacisthome health aideemergency medical technician write a possible enduring issues in the document about 4 paragraph can someone help find the magnitude and direction in degrees of the vector v=6i+2 seq31 Which ordered pair would form a proportional relationship with the point graphed below? 40 (-20,40) 30 20 10 -40-30-20-190 10 20 30 40 x -20 -30 -40 0 (-40, 20) 0 (-10.-20) O (15, -30) O (5, -15) R is (-8,2) and RS is (-1,5) what are the coordinates of S? math help pls!! i have no clue how to do this Think about creating a trailer for The Call of the Wild. Which event in the text would you use as a hook for your trailer and why?Will mark brainliest HELP !!!! Find tan A for the triangle below.A. 0.8B. 0.6C. 1.33D. 0.75 Write an equation for the nth term of the arithmetic sequence.2, 5, 8, 11, ... PLEASEEE HELPP!!!!!! Ms. Kork sold her car for $8700. This was $100 more than two fifths of what she had paid for the car originally. How much mad Ms. Kork paid for the car? The point R(-3,a,-1) is the midpoint of the line segment jointing the points P(1,2,b)and Q(c,-7,4)Find the values of:a=b=C= What is a feature of Print Preview? Fit to Document Fit to Margin Fit to Page Fit to Size Multiplying in any order results in the same product is calledtheProperty. *DistributiveAssociativeCommutativeO Additive Inverse Oftentimes, when a plant dies, the caretaker mayclaim they must have a "black thumb" because theycan't keep plants alive. They make sure the plantsget light and water and are insect-free but plants justdon't survive. What might be the problem? How do I solve 8=3a-4 Question 12 of 32The work of which scientist was most essential to the use of the scientificmethod and quantitative measurements in chemistry?A. Antoine-Laurent LavoisierB. John DaltonO C. Robert BoyleO D. Marie Curie I don't know how to solve this. which of the following is a producer A. Wolf B.Fern C.Worm D.Jaguar