One number is 4 less than a second number. Twice the second number is 13 less than 5 times the first. Find the two numbers.

Answers

Answer 1

Answer:

7 , 11

Step-by-step explanation:

Let the second number be 'x'

the first number = x - 4

Twice the second number : 2*x = 2x

5times first = 5*(x -4) = 5*x - 5*4 = 5x - 20

13 less than 5 times the first = 5x - 20 - 13 = 5x - 33

5x - 33 = 2x

Add 33 to both sides

5x - 33 + 33 = 2x +33

5x = 2x + 33

Subtract '2x'from both sides

5x - 2x = 2x - 2x + 33

3x = 33

Divide both sides by 3

[tex]\frac{3x}{3}=\frac{33}{3}[/tex]

x = 11

First number = x - 4 = 11 - 4 = 7

The numbers are 7 , 11


Related Questions

So like how do I do this?

Answers

Answer:

Step-by-step explanation:

The legs of the triangle have lengths 9 and 12.  The Pythagorean Theorem says [tex](\text{hypotenuse})^2=(\text{leg})^2+(\text{leg})^2[/tex].

[tex]x^2=9^2+12^2=81+144=225\\x=\sqrt{225}=15[/tex]

Yes, these values make a Pythagorean Triple (3 integers that fit the Pythagorean Theorem)

There are infinitely many of these triples:  3,4,5   5,12,13 are examples.  The triple in this problem is 3 times the 3,4,5 triple.

x= 15

No

H²= O²+A²

x²= 9²+12²

x²= 81+144

x²= 225

x= √225

x= 15

Thirty two students try out for the basketball team. There are 5 players on the court during a game and the coach wants three times as many players on the team. How many students will NOT be a part of the basketball team?

Answers

Answer:

17

Step-by-step explanation:

Solve the expression. 8 + (37-19)

Answers

Answer:

26

Step-by-step explanation:

Which number line is the correct solution to y z l?
-5
43 -2 -1 0
1
2
3
4
5
B
-5
4 -3 -2
-
0
2
3
5
4
-5
-3
-2 -1
o
2
3
D
-5 4 3 2 1
2

Answers

9514 1404 393

Answer:

A C D A

Step-by-step explanation:

These state exam questions are checking that you know certain things about linear equations and inequalities, and how to solve and graph them. It is also checking that you now the meanings of certain math terms and can translate those meanings to relationships between numbers.

__

1. The "slope-intercept form" of a linear equation is ...

  y = mx + b . . . . . . where m is the slope and b is the y-intercept

Note that the left side is "y =", eliminating the last two answer choices.

The problem tells you the slope is m = 2, and the y-intercept is b = 5. Then the equation is ...

  y = 2x + 5 . . . . matches A

__

2. The picture is fuzzy, but we think it says y ≥ 1. The little bar in the comparison symbol means "or equal to", so you're looking for a graph that shows numbers greater than or equal to 1. The "or equal to" means the end dot on the graph will not be an open circle, but will be a solid dot. The "greater than" means the shaded part of the line is to the right of that dot.

  graph C is the appropriate representation

__

3. The picture is fuzzy, but we think it says 126 < -7x. For this sort of inequality, you are expected to know that multiplying or dividing by a negative number will reverse the inequality symbol.

  126 < -7x . . . . given

  126/-7 > x . . . . divide both sides by the coefficient of x, -7

  -18 > x . . . . . matches D

__

4. This is a vocabulary question. Angles are "complementary" when their sum is 90°. The sums of the given angle pairs are ...

  A: 90° . . . . the correct answer choice

  B: 100°

  C: 180°

  D: 185°

Why correlation does not prove causation ?

Answers

Answer:

here you go

Step-by-step explanation:

"Correlation is not causation" means that just because two things correlate does not necessarily mean that one causes the other. ... Correlations between two things can be caused by a third factor that affects both of them. This sneaky, hidden third wheel is called a confounder

Why does correlation not equal causation example?

It does not tell us why and how behind the relationship but it just says the relationship exists. Example: Correlation between Ice cream sales and sunglasses sold. As the sales of ice creams is increasing so do the sales of sunglasses. Causation takes a step further than correlation.

11. In circle H, if mDHG = (11x - 36)* and mGHF = (x + 12), find mDG.

Answers

mˆDG=151∘

An arc’s length means the same commonsense thing length always means — you know, like the length of a piece of string

The measure of angle ∠DHG of the circle is = 151°

What is Central Angle?

The central angle is an angle with two arms and a vertex in the middle of a circle. The two arms of the circle's two radii intersect the circle's arc at two separate locations. It is an angle whose vertex is the center of a circle with the two radii lines as its arms, that intersect at two different points on the circle.

The central angle of a circle formula is as follows.

Central Angle = ( s x 360° ) / 2πr

where s is the length of the arc

r is the radius of the circle

Central Angle = 2 x Angle in other segment

Given data ,

Let the measure of angle ∠DG of the circle be A

Now , the value of A is

Let the measure of m∠DHG = ( 11x - 36 )°

The measure of m∠GHF = ( x + 12 )°

And , the angles m∠DHG = m∠EHF ( vertically opposite angles )

And , the angles m∠GHF = ∠DHE ( vertically opposite angles )

So , 2 ( ( 11x - 36 )° + ( x + 12 )° ) = 360°  ( total angle of a circle = 360° )

On simplifying , we get

2 ( 12x - 24 ) = 360

Divide by 2 on both sides , we get

12x - 24 = 180

Adding 24 on both sides , we get

12x = 204

Divide by 12 on both sides , we get

x = 17

Now , the measure of m∠DHG = ( 11x - 36 ) = 151°

Hence , the measure of m∠DHG  of circle is 151°

To learn more about central angle click :

https://brainly.com/question/11877137

#SPJ7

Eli's parents open a savings account for when he was born in the account earns compound interest compounded annually how much money will be in Eli's account at age 21

Answers

Answer:

Is C.$24 I use the I=Prt

Weird math question.

Answers

Answer:

It is 4/11

Step-by-step explanation:

Let x = 0.363636363636

Now as there are two digits repeating immediately after decimal point, we multiply above by 100 and get

100x = 36.363636363636

Now subtracting first equation from second we get

99x = 36

and hence

x = 36/ 99

= (9 × 4) / (9 × 11)

which then equals

= 4/11

Answer:

It is 4/11

Step-by-step explanation:

Two scuba divers are 20 m apart below the surface of the water. They both spot a shark that is below them. The angle from diver 1 to the shark is 47 degrees, and the angle from diver 2 to the shark is 40 degrees. How far is diver 2 from the shark?

Answers

Answer: Approximately 14.647147438893 meters

Round this value however you need.

===============================================================

Explanation:

Refer to the diagram below. The blue horizontal line is the water surface, and just below that are points A and B to represent diver 1 and diver 2 respectively. Point C is the shark's location. The diagram is not to scale. The assumption is that the two divers are at the same depth in the water.

Angle A (also known as angle BAC or CAB) is the angle formed at diver 1's location, which is the 47 degree angle mentioned earlier. Angle B is 40 degrees. This must mean angle C is 180-A-B = 180-47-40 = 93 degrees. Note how A+B+C = 47+40+93 = 180.

The goal is to find the distance from diver 2 to the shark. So we want the distance from point B to point C. In other words, we want the length of segment BC. Since this segment is opposite angle A, we'll refer to this side as lowercase 'a'. The lowercase letters represent side lengths and they are conventionally opposite the uppercase letter angles. So side b is opposite angle B, and side c is opposite angle C.

Here's what we have so far:

side a = unknown = what we want to solve forangle A = 47 degreesside c = 20 meters = distance between the two diversangle C = 93 degrees

We can apply the law of sines to find side 'a'.

a/sin(A) = c/sin(C)

a/sin(47) = 20/sin(93)

a = sin(47)*( 20/sin(93) )

a = 14.647147438893

Make sure your calculator is in degree mode.

The distance from diver 2 to the shark is approximately 14.647147438893 meters. Round this value however you need.

Write an explicit formula for an, the nth term of the sequence 4, -24, 144, ....

Answers

Answer:

Tn = 4(-6)^n-1

Step-by-step explanation:

Write an explicit formula for an, the nth term of the sequence 4, -24, 144, ....

The sequence is a geometric sequence

Tn = ar^n-1

a is the first term

a = 4

r = -24/4 =144/-24

r = -6

Substitute

Tn = 4(-6)^n-1

Suppose that 5% of the time Todd attends a concert twice a month, 40% of the time he attends a concert once a month, and 55% of the time he doesn't attend a concert at all in a given month. What is the expected value for the number of times Todd attends a concert during a month?

Answers

it’s the right answer anyways hope u pass all your classes thanks bye now purrr 1245/4849

hi i like cheesi like cheese e i like chi like cheese eese i like cheese i like cheesi liki like cheese e cheei like chi lii like cheese ke chei like chei like cheese ese ese eese se e

Answers

Answer:

cheese is good but have you tried your mom

Step-by-step explanation:

what is the slope of any line parallel to the line 9x+4y=7?​

Answers

Answer:

-9/4

Step-by-step explanation:

First you need to change the equation to slope-intercept form (y=mx+b). To start, you need to get y alone, so subtract 9x on both sides to give you 4y=-9x+7. Next, divide 4 from both sides giving you y=-9/4x +7/4. The slope is the coefficient of x.

-9/4!!!!!!!!!!!!!!!!

Geometry Question, please help! WORTH 20 POINTS

Answers

Answer:

zy = 65

Step-by-step explanation:

a full circle is 360*

half of that is 180*

180 - 115 = 65

2. Jacquelyn has 50 vocabulary words to study for an exam. She creates a flashcard for each word to study. Day 1 she studies 10 of the flash cards. Day 2 she studies the same 10 cards from the first day along with 5 new cards, for a total of 15 cards. Day 3 she studies the 15 cards she studied on the second day along with 5 new cards, for a total of 20 cards. Jacquelyn continues to increase the number of cards she studies each day by 5.
(a) Write a recursive rule to represent the number of cards Jacquelyn studies on day n.
(b) Write an explicit rule to represent the number of cards Jacquelyn studies on day n.
(c) On which day will Jacquelyn first study all 50 vocabulary cards?

Answers

Answer:

Sequence:

10, 15, 20, ...

(a) Recursive formula:

a₁ = 10, aₙ = aₙ₋₁ + 5

(b) Explicit rule:

aₙ = a₁ + (n - 1)*5 aₙ = 10 + 5n - 5 = 5n + 5aₙ = 5n + 5

(c) aₙ = 50, n = ?

50 = 5n + 55n = 45n = 9

Day 9

help meeeeeeeeeeeeeeeee


Which is larger, 8 tons or 14,000 pounds?

Answers

Answer:

tons          pounds

7           14,000

8            16,000

so 8 tons

Step-by-step explanation:

Answer:

8 tons is larger than 14,000 pounds.

Step-by-step explanation:

Here is my explanation:

One ton (same thing as a short ton) is equivalent to 2,000 pounds.

So 8 tons is basically just 2,000 * 8 which is equal to 16,000.

Hope this helps!


Write each equation in slope-intercept form.
12y =(8x - 48)/3

Answers

Answer:

y=(2/9)x-(4/3)

Step-by-step explanation:

12y=(8x-48)/3

multiply by 3 on both sides

36y=8x-48

divide by 36 on both sides

y=(8/36)x-(48/36)

simplify fractions

y=(2/9)x-(4/3)

NCERT SOLUTIONS FOR CLASS 7

MATHS

ALL CHAPTERS

Answers

Answer:

https://www.learncbse.in/ncert-solutions-for-class-7-maths/

Please evaluate 7/13×8/11

should be in fraction form!
will be marked brailiest

Answers

Answer:

56/143 ([tex]\frac{56}{143}[/tex])

Answer:56/143

Step-by-step explanation:

S) A $4.00 sales tax is charged for a $50.00 purchase. At this rate, what is the sales tax for a $1200.00
purchase?

Please help me :) I’m down bad

Answers

Answer:

$96

Step-by-step explanation:

4/50=.08 which is sales tax rate

1200X.08=$96 sales tax

(8+2b)+(-4+6x)+(6+9m)

Answers

Answer:

2 b + 9 m + 6 x + 10

Step-by-step explanation:

2 b + 4 + 6 x + 6 +9 m

2 b + 6 x + 10 + 9m

2 b + 6 x + 9 m + 10

= 2 b + 9 m + 6 x + 10

Answer:

multiply the +sign with the second bracket.Also do the same with the third bracket.But for the first bracket just remove the bracket and then correct the like terms and solve it

PLEASE ANSWER ILL GIVE YOU BRAINLIEST

Answers

Answer:

i think its 28.27

Step-by-step explanation:

Step-by-step explanation:

[tex]v \: = \: pi \: \times \: r {}^{2} \: \times h[/tex]

Volume = 3.14×2.25×4 = 28.26 yd³

I NEED HELP PLZ!!!!!!!

Answers

Answer: what's up?

Step-by-step explanation:

Write the equation in standard form for the circle with center (0,

8) and radius 2
19.

Answers

Use this link to find your answer

https://lalinks.org/linksweb

HELP ASAP
photo attached

Answers

Answer:

D. undefined

General Formulas and Concepts:

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]:                                                                                 [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Trig Derivative:                                                                                                       [tex]\displaystyle \frac{d}{dx}[sinu] = u'cosu[/tex]

Derivatives of Parametrics:                                                                                   [tex]\displaystyle \frac{dy}{dx} = \frac{\frac{dy}{dt}}{\frac{dx}{dt}}[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{dx}{dt} = 5[/tex]

[tex]\displaystyle \frac{dy}{dt} = sin(t^2)[/tex]

Step 2: Differentiate

[x Derivative] Basic Power Rule:                                                                   [tex]\displaystyle \frac{d^2x}{dt^2} = 0[/tex][y Derivative] Trig Derivative [Chain Rule]:                                                 [tex]\displaystyle \frac{d^2y}{dt^2} = cos(t^2) \cdot \frac{d}{dt}[t^2][/tex][y Derivative] Basic Power Rule:                                                                   [tex]\displaystyle \frac{d^2y}{dt^2} = cos(t^2) \cdot 2t^{2 - 1}[/tex][y Derivative] Simplify:                                                                                   [tex]\displaystyle \frac{d^2y}{dt^2} = 2tcos(t^2)[/tex][Derivative] Rewrite:                                                                                     [tex]\displaystyle \frac{d^2y}{dx^2} = \frac{2tcos(t^2)}{0}[/tex]

Anything divided by 0 is undefined.

Topic: AP Calculus BC (Calculus I/II)

Unit: Differentiation with Parametrics

Book: College Calculus 10e

13. Find the measure of angle ABC. B 8x 6x 6x A С​

Answers

Answer

Angle A = 54 degree

Angle B = 72 degree

Angle C = 54 degree

Explain

It is a triangle, so the total of angle is 180 degree

Find X

8x + 6x + 6x = 180

20x = 180

x = 180/20

x = 9°

Value of x is 9°

Substitute a score of x for every angle =

Angle A

= 6x

= 6(9)

= 54°

Angle B

= 8x

= 8(9)

= 72°

Angle C

= 6x

= 6(9)

= 54°

#LearnWithBrainly

There are 16 kilometers in 10 miles how many kilometers are in 5 miles?

Answers

Answer:

8 kilometers

Step-by-step explanation:

find the missing side of each triangle

Answers

Answer and Step-by-step explanation:

To solve this, we have to find x.

To find x, we have to use the Pythagorean theorem.

The Pythagorean theorem is:

[tex]A^2 + B^2 = C^2[/tex]

Where A is a side, B is a side, and C is the hypotenuse.

Plug in the values accordingly.

[tex]6^2 + 8^2 = x^2\\\\\\\\36 + 64 = x^2\\\\\\\\\\100 = x^2\\\\\\\\10 = x[/tex]

The answer is 10 = x.

#teamtrees #PAW (Plant And Water)

the answer is 10 i believe

Evaluate 5/8 × 5/9 Give your answer in its simplest form.

Answers

Answer:

[tex] \frac{5}{8} \times \frac{5}{9} \\ = \frac{5 \times 5}{8 \times 9} \\ = \frac{25}{72} \\ = 0.3472[/tex]

Answer:

25 / 72

Step-by-step explanation:

5/8 x 5/9 =

5 x 5 / 8 x 9 =

25/72

Please help this is due tonight

Answers

Answer
149
Explanation
It adds up to 360 so add all the numbers together and take it away from 360
Other Questions
7% of 200 is what number? what is the capital of denmark writing essay :stating your position on whether immigrating to a new country can challenge your identity. Assume that two individuals agree to form a partnership. Partner A is contributing an operating business that reports the following balance sheet: Cash $14,000 Accounts payable $42,000 Receivables 28,000 Accrued liabilities $28,000 Inventories 56,000 Total liabilities $70,000 Total assets $98,000 Net assets $28,000 Partner B is contributing cash of $77,000. The partners agree that the initial capital of the partnership should be shared equally. Prepare the journal entry to record the capital contributions of the partners using both the Bonus Method and the Goodwill Method. I would appreciate it if someone solves these exercises. Which technique(s) are appropriate to completely factor theexpression?A)Factor as a difference of squares.B)Factor out the greatest common factor.C)Factor out the greatest common factor; then factorthe difference of squares.D)Factor out the greatest common factor; then factorthe perfect square trinomial Suppose a large labor union wishes to estimate the mean number of hours per month a union member is absent from work. The union decides to sammple 348 of its members at random and monitor the working time of each of them for 1 month. At the end of the month the total number of hours absent from work is recorded for each employee . if the mean and standard deviation of the sample are x = 7.5 hours and s = 3.5 hours, find a 99% confidence interval for the true mean number of hours a union member is absent per month. Round to the nearest thousandth. A) 7.5 .258 B) 7.5 .186 C) 7.5 .026 D) 7.5 .483 PLEASE HELP I NEED TO TURN THIS IN TODAY!!!!!!!!! If the ___ of a material are lined up, the object will be magnetic.Answer pleasewill mark brainliest if right HELP PLEASE 10 POINTS What are 3 procedures of having(making) spinners? Help! look at the expression below 6xwhich value for x will make the value of the expression greater than 6?A 4/3B 2/3C 1/3D 3/3 Find BCBCB, C. Round to the nearest tenth.6060 9977AABBCCShow Calculator HELPPP MEE QUICK PLEASEE I NEED IT NOWW :) NO LINKS NO BOTS I WILL REPORT !! Which of the following are point-slope equations of the line going through(-3,-5) and (2,4)? Check all that apply. Which image below shows a line? Calculate AH for the reaction, 5 C(s) + 6 H2(g) C5H12(1) given the following informationC5H12(1) + 8 O2(g) 5 CO2(g) + 6 H2O(g) AH = -3,244.8 kJC(s) + O2(g) CO2(g) AH = -393.5 kJ2 H2(g) + O2(g) 2 H2O(g) AH = -483.5 kJSelect one:a. 2,367.8 kJb. -173.2 kJC. -6,662.8 kJd. -4,121.8 kJ A function is shown below.g(x) = 19.60 + 1.74xWhat is the value of g (30) ? What is the distance between point A and point B? 140% of 15 step explanation? Select the correct answer. What similarity can be drawn between state and national governments? A. Both have three branches of government and a constitution. B. Neither uses any form of direct democracy. C. Both have constitutions that are difficult to change. D. Both have the ability to raise and control a military.