Martha and Dave have 99$. Martha has 3 more than seven times as much money as Dave. How much does each person have?

Answers

Answer 1

Answer:

x = 12 m = 87

Step-by-step explanation:

x = Dave

(7x + 3) + x = 99

8x + 3 = 99

      -3     -3

8x = 96

----    ----

8       8

  x = 12

7(12) + 3

84 + 3

   87

Dave has 12 dollars, Martha has 87.


Related Questions

In the warmer months, Ms.Selwa likes to run to school to get in her daily exercise. She can run 1/6 of a kilometer in a minute. Michael Power Saint Joseph is 3/6 of a kilometer away from her home. At this speed, how long will it take Ms.Selwa to run to school every morning?

Answers

Answer:

3 minutes

Step-by-step explanation:

If Ms. Selwa can run 1/6 of a kilometer in a minute, she can run 3/6 of a kilometer in 3 minutes.

This is because 1/6 times 3 equals 3/6, which is the distance of the school from her home.

So, it will take Ms. Selwa 3 minutes to run to school.

A staircase is being constructed in a new house as displayed on the right. Each tread is 18 cm and each riser is 10cm. Determine the angle of inclination of the stairs.

Answers

Answer:

29.1°

Step-by-step explanation:

Given that :

Riser, AB, Opposite = 10 cm

Thread, = AC, Adjacent = 18 cm

Angle of inclination, θ

Using trigonometry :

Tan θ = opposite / Adjacent = AB / AC

Tan θ = 10 / 18

θ = tan^-1(10/18)

θ = 29.055

Hence, angle of inclination is 29.1° (1 decimal place)

A square shaped room contains 12m' of air. If the height of the room is 3m, what is the area of the floor. Also, find the length of the floor.​

Answers

Answer:

A square shaped room contains 12m³of air.If the height of the room is 3m,what is the area of the floor. find the length too.also write the method ka answer

Step-by-step explanation:

If a polynomial function has n degree, then it can have at most (n - 1) ____________ in the graph.

Answers

9514 1404 393

Answer:

  turning points

Step-by-step explanation:

The number of turning points is the number of real zeros in the derivative polynomial. As you know, the number of real zeros of a polynomial is at most the polynomial degree.

The degree of the derivative is always 1 less than the degree of the polynomial. So, a polynomial of degree n will have at most (n-1) turning points.

Para un proyecto de arte, omar debio trasladar en la cuadricula la figura de colocar segun estas indicaciones 6 cuadraditos hacia la izquierda y 5 cuadraditos hacia la derecha dibula en la cuadricula la figura en su nueva ubicacion

Answers

Answer:

Después de una búsqueda online, encontre la pregunta completa, la cual puede verse abajo.

Lo que queremos hacer es mover la figura 6 unidades a la izquierda, y 5 unidades hacia abajo.

Para hacer esto, simplemente podemos tomar cada vértice de la figura y moverlo 5 unidades hacia abajo, y luego 6 unidades a la izquierda.

Una vez hemos movido los 4 vértices, podemos conectarlos con segmentos, y de esta forma tendremos la figura trasladada.

En la segunda imagen se puede ver como este proceso se hace para el vértice derecho de la base. En el mismo gráfico se movieron los otros 3 vértices y se conectaron, para así obtener la figura trasladada.

The graph below shows the solution to which system of inequalities


Helpppp

Answers

Answer:

Step-by-step explanation:

Point G is the circumcenter of ABC . Point G is the point of concurrency of the perpendicular bisector. Find BG ​

Answers

Answer:

BG = 25

Step-by-step explanation:

The circumcentre is equally distant from the triangles 3 vertices, then

BG = CG = 25

given that a random variable X has a geometric distribution that X- Geometry 0.67. Find the mean​

Answers

Answer:

Hello,

0,4925...

Step-by-step explanation:

A geometric random variable X with parameter p has probability function:

[tex]f(x)=p*(1-p)^x\ where\ x=0,1,2,3....\\\\mean=\dfrac{1-p}{p} =\dfrac{1-0.67}{0.67} =0.4925...[/tex]

Answer

hey my friend ur answer is 0,4925.

hope it is helpful

What is the sum of the greatest number and least number formed by the digits 4,7,0and 9​

Answers

Answer:

13819

Step-by-step explanation:

The biggest number is :9740

The smallest number is :4079

Sum means addition so...

9470 + 4079 = 13819

1. You have a 14 pencils. Two pencils are red, 5 pencils are orange, 3 pencils are
green and 4 pencils are brown

f. If a pencil is picked at random, what is the probability that the pencil will be red or green or orange?

g. If a pencil is picked at random, what is the probability that the pencil will
NOT be orange?

'h. If a pencil is picked at random, what is the probability that the pencil will
NOT be blue or red?

Answers

Answer:

Step-by-step explanation:

F. 5/7 chance

G. 9/14 chance

H. You did not mention a blue color in the question.

Answer:

g) a) 11/14

f) 9/14

h) 12/14

Step-by-step explanation:

Probability is just the amount of the specified object over the total amount of objects.

Amount of Red : 2

Amount of Orange: 5

Amount of Green: 3

Amount of Brown: 4

Total: 14

*Formula: (Specified Object)/(Total)*

F) Chances of Red or Orange or Green

=(2+5+4)/14

=11/14

G) NOT be orange

*Formula: (Total)-(Specified)/(Total)*

=(14-5)/14

=9/14

H) NOT blue or red

*Formula: (Total)-(Specified)/(Total)*

=14-(2+0) (*There is a 0 there because the question asked to solve for blue pencils as well, and there are 0 blue pencils*)

= 12/14

Find an equation for the line below.
BRAINLIEST AND POINTS!

Answers

Answer:

y = 4/3x+2/3

Step-by-step explanation:

the 2 coordinates provided are: (4,6) and (-5,-6)

y=mx+c

m= (y1-y2)/(x1-x2) = (-6-6)/(-5-4) = 4/3

sub x = 4, y = 6

6 = 4/3 * 4 + c

c = 2/3

Answer:

y = 4/3x+2/3

Step-by-step explanation:

Pick two points on the line to find the slope

(-5,-6) and (4,6)

m = (y2-y1)/(x2-x1)

m = ( 6 - -6)/( 4 - -5)

   = ( 6+6)/(4+5)

   = 12/9

  = 4/3

The slope intercept form of a line is y =mx+b where m is the slope and b is the y intercept

y = 4/3x+b

Substitute a point into the equation

6 = 4/3(4)+b

6 = 16/3+b

Subtract 16/3 from each side

18/3 - 16/3 =b

2/3 = b

y = 4/3x+2/3  

The foot of a ladder is placed 18 feet from a wall. If the top of the ladder rests 24 feet up on the wall, find the length of the ladder.

Answers

Answer:

30 ft

Step-by-step explanation:

Because the wall and floor form a right angle, then

a**2 + b**2 = c**2

18**2 + 24**2 = c**2

324 + 576 = c**2

900 = c**2

30 = c

which of the binomials below is a factor of this trinomial x2+6x-40

Answers

Answer:

x2 - 16x + 28 = (x - 2)(x - 14)

Step-by-step explanation:

Even though you don't mention any factors below, it is easy to tell that the above-given two factors must be the ones you are looking for.

Start from number 11 and keep adding 2 till you get to 201. how many times did you have to add 2 till you got to 201

Answers

Answer:

95 times

Step-by-step explanation:

201=11+(n)*2, 190=(n)*2, n=95

Please Factor m^2-8m^5

Answers

Answer:

Use the diffrence of cubes formula

Step-by-step explanation:

a^3-b^3=(a-b)(a^2+ab+b^2) where a = 1 and b = 2m

m^2(1-2m)(1+2m+4m^2)

A ramp is used to load a snowmobile onto the back of a pickup truck. The truck bed is 1.3m above the ground. For safety, the angle of the ramp should be less than 40°. What is the shortest possible length of the ramp to the nearest centimetre? Explain why.

Answers

Answer:

2.02 m

or 2 m 2 cm

Step-by-step explanation:

Imagine a triangle containing the 40° angle and that this angle is at the left.  Then the height of the truck bed is 1.3 m and the "shortest possible length of the ramp" is the hypotenuse of this triangle.  We need to find the length of this ramp, that is, the length of the hypotenuse.  

The sine function relates this 40° angle and the 1.3 m height of the truck bed:

sin 40° = opp / hyp = 1.3 m / hyp

which can be solved for 'hyp' as follows:

              1.3 m

hyp = ----------------- = (1.3 m) / 0.6428)

             sin 40°

                                                                                  1.3 m

Thus, the length of the ramp must be less than -------------- or 2.02 m

                                                                                 0.6428

where this last result is to the nearest cm.

If the ramp is shorter the angle of the ramp will be smaller and the ramp angle considered safer.

Find the length of the side labeled 2. Round intermediate values to
the nearest tenth. Use the rounded values to calculate the next
value. Round your final answer to the nearest tenth. PLEASE HELP ASAP!

A. 11.6
B. 13
C. 16.6
D. 22.4

Answers

Answer:

B

Step-by-step explanation:

The perpendicular is sin(43)*39=21.82. Next tan(32)=x/21.82. x=21.82*tan(32)=13.6

The value of x in the given question is 16.6

What are trigonometric ratios in a right angle triangle ?

A right angle triangle has 3 sides opposite is the side opposite to the angle formed by two adjacent sides.hypotenuse is the largest side and adjacent is the remaining side.

Assuming height of the triangle = y

Sin∅ = opposite/hypotenuse

sin43° = y/39

y= 39sin43°

y = 26.6
From this we will solve the value of x

tan∅ = opposite/adjacent

here adjacent = 26.6 and opposite = x

tan32° = x/26.6

x = 26.6tan32°

x = 16.6

Learn more about Trigonometric ratios here :

https://brainly.com/question/14977354

#SPJ5

find the missing side lengths​

Answers

Answer:

X = 18

Y = 9√3

Step-by-step explanation:

use sin equation for right angle triangle

The sine of the angle

= ( the length of the opposite side ÷ the length of the hypotenuse.)

according to this question,

sin 30 = 9 / X

1/2 = 9 / X

X = 18

use cosine to find y

The cosine of the angle

= (the length of the adjacent side ÷ the length of the hypotenuse.)

cos 30 = y/x

√3/2 = y/ 18

y = 9 ✓3

A ladder is resting against a wall. The top of the ladder touches the wall at a height of 6
feet. Find the length of the ladder if the length is 2 feet more than its distance from the
wall.

Answers

Answer:

10 feet

Step-by-step explanation:

let the ladder be x feet in length

Using the Pythagoras theorem,

6^2+(x-2)^2=x^2

if you solve this you'll get, x = 10

Answered by GAUTHMATH

determine the value of the expression below:
X=1
Y=-2
Find the value of this expression:
y/3x-x

Answers

Answer:

Step-by-step explanation:

-2/3(1)-1 = -2/3 - 1 = - 5/3

Answ

Step-by-step explanation:

-2/2 =-1 nha

Can someone explain how to do this?

Answers

Here is the answer
Dksjsjejejdndnd

Amy is biking to school from her father's house and Jeremy is biking to school from his aunt's house. Suppose Amy is moving at a rate 10 miles per hour and Jeremy is moving at a rate of 8 miles per hour. Can you assume that Amy will get to school first?

Answers

Answer:

No, more information is needed to prove that Amy will get to school first.

Step-by-step explanation:

Even though Amy is traveling at a faster rate than Jeremy, the problem does not say how far away Amy's father's or Jeremy's aunt's houses are from the school.  

Answer:

Step-by-step explanation:

No, the rate with the greater positive rate of change will not necessarily reach the output with the smallest input. The initial value will also affect the outcome. Although Amy is biking at a faster rate of change, Jeremy might get to school before her if his aunt lives closer to the school than her father does.

Explanation: Edge. said so.

Which function is decreasing and approaches negative infinity as x increases?
A. f(x) = -3(0.6)^x + 1
B. f(x) = 3(6)^x − 2
C. f(x) = -3(6)^x + 2
D. f(x) = 3(0.6)^x − 1

Answers

Answer:

C

Step-by-step explanation:

I have attached graphs of all the equations below

A starts off increasing so it cannot be it

B is increasing after some point, so doesn't work

C works

D has a constant y after some point, so doesn't work (not increasing or decreasing)

therefore: C is the correct answer

9.

Graph the data in the table. Which kind of function best models the data? Write an equation to model the data.


A. quadratic; y = 2.5x2


B. exponential; y = 2.5x


C. quadratic; y = –2.5x2


D. linear; y = 2.5x

Answers

Answer:

A. quadratic; y = 2.5x2

Step-by-step explanation:

Answer:

Option (1)

Step-by-step explanation:

x               -2              -1                 0                    1                   2

y               10            2.5                0                  2.5                3.0

Ist difference,

    = -2.5

   

   = 2.5

   

   = 7.5

2nd difference,

    = 5

   

   = 5

   

   = 5

Since 2nd difference is common, given table represents a quadratic equation.

Let the equation is,

y = ax²+ bx + c

For a point (0, 0) passing through the quadratic equation,

0 = c

Therefore, quadratic equation is y = ax² + bx

Since ordered pair (-1, 2.5) passes through the graph of the function,

2.5 = a(-1)² + b(-1)

a - b = 2.5 ------(1)

For another point (1, 2.5)

2.5 = a(1)² + b(1)

a + b = 2.5 ------(2)

By adding equations (1) and (2),

2a = 5

a = 2.5

and from equation (2)→ y = 0

Therefore, equation of the quadratic function given in the table is y = 2.5x²

Option (1) is the answer.

HELP ILL HIVE BRAINLIEST

Answers

Answer:

I cannot read it

Step-by-step explanation:

Step-by-step explanation:

the answer should be the first option bcos

when we use the table of values

let's just assume the values of x to be 0,1,2and3

so when x= 0

using the given formula y=2x-3

we get

y= 2(0)-3

=0-3

= -3

so we have x=0,y=-3

we do the same for the rest of the values

y=2(1)-3=2-3 =-1

y=2(2)-3=4-3= 1

and on the gragh this gives a straight line

where the values of y are -3,-1,1

and x are 0,1,2

The test statistic of z=2.93 is obtained when testing the claim that p≠0.523. a. Identify the hypothesis test as being​ two-tailed, left-tailed, or​ right-tailed. b. Find the​ P-value. c. Using a significance level of α=0.01​, should we reject H0 or should we fail to reject H0​?

Answers

Answer:

Step-by-step explanation:

Confidence Level - "P" values  

99%  2.58

Confidence Interval - "P" values  

(0.5289 , 0.6097 )  

Reference=0.523 Reject H0

Plz tell me how to do question 18

Answers

Answer:

750kmph

Step-by-step explanation:

Average is sum of all parts divided by the number of parts.

Let Stot be average speed for total trip (800kmph).

Let S1 be speed for first quarter of trip (950kmph).

Let S2, S3, and S4 be the speeds of each of the remaining quarters respectively.

Let Sans be the average speed for the remaining three quarters of the trip (a.k.a. The Answer!).

Stot = (S1 + S2 + S3 + S4) / 4

800kmph = (950kmph + S2 + S3 + S4) / 4

3200kmph = 950kmph + S2 + S3 + S4

3200kmph - 950kmph = 2250kmph = S2 + S3 + S4

Divide both sides by 3.

2250kmph / 3 = (S2 + S3 + S4) / 3 = Sans

Sans = 750kmph

pls help. And can someone tell me how give brainliest so i can give it?

Answers

Answer:

n - 324 = 394

STEP BY STEP EXPLANATION

SUBJECT: Graphs and Function
Identify the range of the function shown in the graph.​

Answers

Answer is D since the graph shows that Y is infinitely spreading on its axis

Helpppppppp pleaseeee!!!!!!!!

Answers

Answer:

29.5 square inches

Step-by-step explanation:

Let's divide the shape into 3 parts to make it easy for us to find the area.

- a wide triangle

- a triangle

- a shorter rectangle

For the wider rectangle, the area is;

A1 = 8 × 2 = 16 in²

For the triangle, the area is;

A2 = ½(7 - 2) × 3

A2 = 7.5 in²

For the shorter rectangle, the area is;

A3 = 3 × 2

A3 = 6 in²

Total area = A1 + A2 + A3 = 16 + 7.5 + 6 = 29.5 square inches

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