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
IS CELL REPLICATION THE SAME THING AS DNA REPLICATION OR ARE THEY TWO SEPERATE THINGS
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!
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)
answer is 2.2 66 88862 u88272
There are 144 people in an audience. The ratio of adults to children is 5 to 3. How many adults?
Answer:
5:3....added = 8
5/8(144) = 720/8 = 90 adults
3/8(144) = 432/8 = 54 children
Select the ordered pair that is a solution to the equation represented by the graph.
Answer:
c
Step-by-step explanation:
PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE
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.
4952 rounded to the nearest ten
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
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
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
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
Answer:c
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
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
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
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?
Answer:
B. 1/2
Step-by-step explanation:
i think
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.
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
Which number represents
27,860,000 using scientific notation ?
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.
work out the circumference area of glass on top of a cabinet with a diameter of 1.8, using tt=3.4
what is the solution set of the equation set 3|5-x|+2=29 ?
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.
parallel perpendicular or neither
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
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?
Answer:
127
Step-by-step explanation:
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
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 Perfect square
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!
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.
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:
help me for brainlist
The line intersects x - Axis at 6
- BRAINLIEST ANSWERER
Find the total surface area of these solids
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 faceS(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 areaS=10mm²*2+35mm²*3
S=20+105
S=125mm²
Hope this helped..Hope this helped..Brainliest pls..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.
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
ANSWER QUICKLY WILL GIVE BRAINLIEST
Answer:
\sqrt(3)[cos((4\pi )/(45))+isin((4\pi )/(45))]
Step-by-step explanation:
The first one.
Find (x) and (y) intercept
I’ve tried rearranging it to (y=mx+c) but i got the wrong answer
Pls help
Answer:
X = (5,0)
Y = (0,-2)
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.
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
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.
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)
Hurry please
Answer ASAP
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?
Identify the slope (m) and y-intercept (b) for 3x + 4y = 9.
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]
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."
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