(c) Ada is x years old and Bill is y years old.
Last
year,
Bill was 6 times as old as Ada.
(1) Form an equation in x and y and show that it simplifies to y = 6x - 5.

Answers

Answer 1

Using a system of equations, it is found that the simplified equation is y = 6x - 5.

Ada is x years old.Bill is y years old.

Last year, Ada was x - 1 years old and Bill was y - 1 years old.

Bill was 6 times as old as Ada, hence:

[tex]y - 1 = 6(x - 1)[/tex]

[tex]y - 1 = 6x - 6[/tex]

[tex]y = 6x - 6 + 1[/tex]

[tex]y = 6x - 5[/tex]

The simplified equation is y = 6x - 5.

For a similar problem, also involving a system of equations, you can check https://brainly.com/question/13773803


Related Questions

IS CELL REPLICATION THE SAME THING AS DNA REPLICATION OR ARE THEY TWO SEPERATE THINGS

Answers

Answer:

See below:

Step-by-step explanation:

So, first of all, we know that Cell and DNA Replication are different just by looking at their names.

Cell Replication is to replicate cells and not DNA whereas DNA replication replicates DNA but not cells.

We do know that DNA resides inside Cells what we call eukaryotes.

So, in short, no, they are different things.

Cheers!

They’re connected but still different things. The cell cycle is the the process leading up to the cell actually dividing and the dna replication. So in the cell cycle, first you have the “resting phase” where the cell isn't dividing and is basically just kinda there. Then it goes into the interphase. First the cell grows (“Gap 1”) then synthesis happens which is where dna replication happens. Then the cell grows some more (“Gap 2”). Then the cell goes through mitosis which is where the cell stops growing and divides. Causing the cells to multiply. And DNA replication, which happens during synthesis. This is where a 2 pieces of identical dna are made from one dna molecule.

Given the graph of y=f(x), shown as a green curve, drag the green movable points to draw the graph of y=−f(x). When the green line is moved a red dashed line will appear where the original graph appeared for reference. Notice that you can control the positioning of the reflective function with the coordinate labeled "Drag Function" and control the width of the reflection with the coordinate labeled "Control Width."

Answers

The resulting function is presented in the image attached below.

In this question we know the graphic of a function and we must draw a new function which is the reflection of the original one around the x-axis. Mathematically speaking, a reflection a around the x-axis is defined by the following operation:

[tex]f'(x) = f(x) - 2\cdot [f(x) - 0][/tex]

[tex]f'(x) = - f(x)[/tex] (1)

Which means that the reflected function is equal to the original function multiplied by -1.

Now, we proceed to represent the reflected function graphically.

We kindly invite to check this question on reflections: https://brainly.com/question/15487308

Match each linear equation to its slope and y-intercept.
slope:2, y-intercept:
-3+5y = 4
slope:2, y-intercept: 2
5y-1 =15
slope:$, y-intercept:
2y-3.1 = 7
slope:6, y-intercept: 3
2y=5T+7
slope:-5, y-intercept: 5

Answers

Answer:

-x + 5y = 4

5y = x + 4

y = x/5 + 4/5

Slope: 1/5

Y-intercept: 4/5

5y - x = 15

5y = x + 15

y = x/5 + 3

Slope: 1/5

Y-intercept: 3

2y - 3x = 7

2y = 3x + 7

y = 3/2x + 7/2

Slope: 3/2

Y-intercept: 7/2

2y = 5x + 7

y = 5/2x + 7/2

Slope: 5/2

Y-intercept: 7/2

what is the solution set of the equation set 3|5-x|+2=29 ?

Answers

Answer:

Answer: x = - 4 or x = 14.

Step-by-step explanation:

Rearrange unknown terms to the left side of the equation:3 |5 - x| = 29 - 2Calculate the sum or diff.

There are 144 people in an audience. The ratio of adults to children is 5 to 3. How many adults?

Answers

Answer:

5:3....added = 8

5/8(144) = 720/8 = 90 adults

3/8(144) = 432/8 = 54 children

Find the equations of a line through these 2 points
(1,2) & (3,5)
2. (-2,0) & (0,8)
3. (4,-5) & (11,-5)
4. (6,2) & (9,3)
6. (6,2) & (10,3)
5. (7,5) & (6,11)

Answers

answer is 2.2 66 88862 u88272

You have a recipe that indicates to use 6 parts of sugar for every 5 parts of flour. You use 24 cups of sugar. How much flour do you need?

Answers

I dunno tbh;-; soooooo I hope this helps
20 parts of flour

Because if you use 24 cups of sugar divide that by 6 resulting 4, which indicates that you used 6 parts 4 times, the multiply 5x4 giving you 20 which is how much flour you need

parallel perpendicular or neither

Answers

Answer:

Parallel

Step-by-step explanation:

Simplify the functions to [tex]y=mx+b[/tex]

A: [tex]y=1/4x-5[/tex]

and

B: [tex]y=1/4x+3/4[/tex]

Since these lines have the same slopes and different y-intercepts, they are parallel

The slope of the line formed between point A and point C on the graph is 2/3

What is the slope of the line formed between point C and point E?

Answers

Answer:

B. 1/2

Step-by-step explanation:

i think

Hurry please
Answer ASAP

Answers

It is non proportional because it doesn’t go through the origin I am pretty sure

Select the ordered pair that is a solution to the equation represented by the graph.

Answers

Answer:

c

Step-by-step explanation:

Ginny factored 6x2 – 31x – 30 as shown:

ac = –180 and b = 31
36(–5) = –180 and 36 + (–5) = 31
6x2 + 36x – 5x – 30
6x(x + 6) – 5(x + 6)
(x + 6)(6x – 5)
Determine if Ginny factored correctly. If not, explain where she made an error.

Ginny made a mistake in step 1 when she identified b = 31. It should be b = –31.
Ginny was correct until step 3 when she used 36 and –5 as the coefficients of x.
Ginny was correct until step 4 when she incorrectly factored the GCF from 5x – 30.
Ginny factored the trinomial correctly.

Answers

Answer:

  (a)  Ginny made a mistake in step 1 when she identified b = 31. It should be b=–31.

Step-by-step explanation:

The value of b is the coefficient of x. In the given quadratic expression, the coefficient of x is -31, so Ginny should have started with b = -31 in step 1.

Answer:

A

Step-by-step explanation:

On the coordinate plane below, what is the length of AB? A coordinate plane is shown with the following points A at negative 7, 4; B at 8, 4; C at 8, negative 3; D at negative 7, negative 3. All points are connected to create a rectangle. 7 units 8 units 15 units 16 units

Answers

Answer:c

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The tip of a 5ft ladder plank is resting on a man's head,the next end is on level ground 3.5 ft away from the man. Determine the height of the man to the nearest whole number.

Answers

Answer:

4 ft

Step-by-step explanation:

This is a right triangle problem

the hypotenuse is 5

Therefor

a^2 + 3.5^2 = 5^2

a^2 = 5^2 - 3.5^2

a^2 = 25 - 12.25

a^2 = 12.75

a = 3.5707142143

to the nearest whole number.

4 ft (that's a very short man)

Triangle ABC is shown. The measure of the interior angle at point A is 29° and the exterior angle at point C is 82°.



What is the measure of angle x?

Answers

Answer:

127

Step-by-step explanation:

A drilling crew dug to a height of -45 1/4 feet during their first day of drilling. On the second day, the crew dug down 9 1/3 feet more than on the first day. Describe the height of the bottom of the hole after the second day.

Answers

The height of the bottom of the hole after the second day is -35 11/12 feet

Given:

Day 1 height = -45 1/4 feet

Day 2 height = -45 1/4 + 9 1/3

= - 181/4 + 28/3

= (-543 + 112) / 12

= -431/12

= -35 11/12 feet

Therefore, the height of the bottom of the hole after the second day is -35 11/12 feet

Read more:

https://brainly.com/question/11871698

10) Consider two lines. Line A is given by the function f(x) = 4x − 9, while Line B contains the points (0, 5) and (2, 12). Which statement is true? A) Line A and Line B have the same slope. B) Line A has a greater slope than Line B. C) Line B has a greater slope than Line A. D) Line A slope is less than the slope of Line B.

Answers

Answer:

B) Line A has a greater slope than Line B.

Step-by-step explanation:

When looking at [tex]f(x)=4x-9[/tex] is basically the same way of saying [tex]y=4x-9[/tex]

which is in slope-intercept form. Because of that, we know that the slope of line A is 4.

To find the slope of line B we have to use the slope formula

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

[tex]m=\frac{7}{2}[/tex] as a decimal [tex]m=3.5[/tex]

So line A slope = 4 and line B slope = 3.5

Which makes line A slope greater than line B slope

Find (x) and (y) intercept

I’ve tried rearranging it to (y=mx+c) but i got the wrong answer
Pls help

Answers

Answer:

X = (5,0)

Y = (0,-2)

work out the circumference area of glass on top of a cabinet with a diameter of 1.8, using tt=3.4

Answers

Use pi, and if you still can’t find it, then ask Brainly.com/Ididntrobabank

4952 rounded to the nearest ten​

Answers

Answer:

4950

Step-by-step explanation:

4952 has:

'4' in the thousands place

'9' in the hundreds place

'5' in the tens place

'2' in the ones place

Rounding to the nearest tens means to look at the value in the ones place and if it is 5 or greater the value in the tens place increases by one, otherwise it remains the same

9000 is borrowed at 4.5% rate of interest pa for 2 years. Find the amount to be paid at the end of the second year? pleasee need answer fastt

Answers

Answer:9810

Step-by-step explanation:

S.I. = PRT/100

9000 ×4.5 × 2/100

S.I = 810

Amount after 2 years = 9000+810

= 9810

help me for brainlist

Answers

The line intersects x - Axis at 6

- BRAINLIEST ANSWERER

the admission fee at an amusement park is $3.50 for children and $7.20 for adults. on a certain day, 344 people entered the park, and the admissions fees collected totaled $1870. How many children and how many adults were admitted

Answers

Answer:

180 adults, 164 children

Step-by-step explanation:

Assuming all the people admitted are children,

total fees collected

= 344($3.50)

= $1204

Difference in amount collected

= $1870 -$1204

= $666

This difference in amount is due to the extra cost from each adult admission fee that we assumed to be children.

Difference in each admission fee

= $7.20 -$3.50

= $3.70

Number of adults admitted

= $666 ÷$3.70

= 180

Number of children admitted

= 344 -180

= 164

Maribel is taking advantage of the sale at Cassieś Cashew shoppe.she wants to figure out how much she will save on a purches of $34.Maribel´s percent ruler is shown below.Copy the ruler on your paper and help her figure out what 20% of $35 is.

Answers

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the money that Maribel would save on the sale.

Since she would save 20% on purchases, hence money saved on purchase of $35 is:

x = 20% of $35 = 0.2 * 35 = $7

Maribel saves $7 on the purchase of $35.

Find out more on equation at: https://brainly.com/question/2972832


Which number represents
27,860,000 using scientific notation ?

Answers

Answer:

B. 2.786 x 10 ^ 7

Step-by-step explanation:

For scientific notation you have 1 number to the left of the decimal point and 10 gets raised to the power of the number of decimal places it takes to get that one number.

ANSWER QUICKLY WILL GIVE BRAINLIEST

Answers

Answer:

\sqrt(3)[cos((4\pi )/(45))+isin((4\pi )/(45))]

Step-by-step explanation:

The first one.

Find the total surface area of these solids

Answers

Step-by-step explanation:We firstly find the surface area of only one face of the cube:Sa=a²Sa=1.2²cmSa=1.44cm²

Since the cube has 6 faces we multiply the surface area of one face(144cm²) with 6

Area(cube)=1.44cm²*6

=8.64cm²

Same thing with the prism but we have to find the area of one of his triangle face and rectangle face

S(triangle)=5mm*4mm*1/2

=10mm²

S(rectangle)=7mm*5mm=35mm²

The prism has 2 triangle faces and three rectangle faces so we multiply the area by those numbers and then we add those together to get the final area

S=10mm²*2+35mm²*3

S=20+105

S=125mm²

Hope this helped..Hope this helped..Brainliest pls..

What is Perfect square

Answers

Answer:

A perfect square is an integer that results in another integer when square rooted.

Step-by-step explanation:

For example:

16 is a perfect square because [tex]\sqrt{16}[/tex] = 4.

16 and 4 are both integers

Also, notice that 4 x 4 = 16

Answer:

A perfect square is a number that can be multiplied together by the same numbers/digits/values.

Step-by-step explanation:

Examples:

√25

5 times 5 is 25 thus √25 is a perfect square

√144

12 times 12 is 144 thus √144 is a perfect square

Hope this helps!

PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE

Answers

Same line good luck have a nice day

Answer:

Neither

Step-by-step explanation:

Parallel lines need to have the same slopes, but lines A and B have different slopes, so parallel is off the list.

Perpendicular lines need slopes that multiply to -1, meaning one of them must be negative. This is not possible if both are greater than 1, making them positive. The lines cannot be perpendicular.

If they are the same line, they need the same slopes. However, they have different slopes, making this option impossible.

We are left with neither.

Identify the slope (m) and y-intercept (b) for 3x + 4y = 9.

Answers

Answer:

slope= -¾

[tex]y - intercept = 2 \frac{1}{4} [/tex]

Step-by-step explanation:

3x +4y= 9

Let's rewrite the equation into the form of y= mx +b (known as slope-intercept form), where m is the slope and b is the y-intercept.

Keep the y term on the left-hand side of the equation and move all the other terms to the right-hand side.

4y= -3x +9

For the coefficient of y to be 1, divide both sides of the equation by 4.

[tex]y = - \frac{3}{4} x + \frac{9}{4} [/tex]

[tex]y = - \frac{3}{4} x + 2 \frac{1}{4} [/tex]

[tex]slope = - \frac{3}{4} [/tex]

[tex]y - intercept = 2 \frac{1}{4} [/tex]

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