Answer:
x = 12
length = 4 cm
width = 20 cm
Step-by-step explanation:
a = lw
Plug in the givens
80 = (x - 8)(x + 8)
Multiply
80 = x^2 - 64
Add 64 to both sides
144 = x^2
Take the square root of both sides
x = ±12
(The negative root is extraneous since the dimensions can not be negative)
x = 12
length = x - 8 = 4 cm
width = x + 8 = 20 cm
Help please I really don’t understand SOS Due today
Answer:
Step-by-step explanation:
28 > 6x - 2
28 + 2 > 6x - 2 + 2
30 > 6x
5 > x or x < 5
The perimeter of a rectangle is 40 cm. The length is 14 cm.
Let x = width of the rectangle.
Ravi says he can find the width using the equation 2(x + 14) = 40.
Fran says she can find the width using the equation 2x + 28 = 40.
Answer the questions to solve the equations and to compare the steps and solutions.
1. Which of these is the most helpful first step for solving Ravi's equation, 2(x + 14) = 40?
Circle the best answer.
Add 14 to both sides
Subtract 14 from both sides
Divide both sides by 2
Multiply both sides by 2
2. What would your next step be?
Write your answer in the space below.
3. Solve Ravi's equation, 2(x + 14) = 40, to find the width of the rectangle. Show your work.
Write your answer in the space below.2(x +14) = 40 (use the distributive property)
2x + 28 = 40 (solve exactly like you did for Fran)
2x = 12
x = 6
4. Which of these is the most helpful first step for solving Fran's equation, 2x + 28 = 40?
Circle the best answer.
Multiply both sides by 2
Subtract 28 from both sides
Divide both sides by 2
Add 28 to both sides
5. What would your next step be?
Write your answer in the space below.
6. Solve Fran's equation, 2x + 28 = 40, to find the width of the rectangle. Show your work.
Write your answer in the space below.
7. The two equations have different solution steps. Do they have the same solution? Use the distributive property to show why this answer makes sense.
Write your answer in the space below
Answer:
Below.
Step-by-step explanation:
1. Divide both sides by 2.
2. After dividing both sides by we would have:
x + 14 = 20
The next step would be
Subtract 14 from both sides.
3. 2(x + 14) = 40
x + 14 = 20
x = 20 - 14
x = 6.
2x + 28 = 40
2x = 40 - 28
2x = 12
x = 6.
a canine's body temperature is considered to be normal if it is 101 degrees Fahrenheit with an absolute deviation of 1.5 degrees Fahrenheit.
A. write an absolute value inequality that represents the normal temperature range. B.solve the inequality. what is the normal temperature range?
Answer:
Please I don't understand the question or maybe I'm too young for the question I'm so sorry
A diameter of a circle measures 58cm. What is the length of its radius
Answer:
29cm
Step-by-step explanation:
a radius is half of a diameter so half of 58cm is 29cm.
i hope this helps have a good day
What did she do wrong? What can she do to prevent this?
Answer:
y = 8x + 14 (8x is WRONG)
This is how it is supposed to be
y - 2 = 6x + 12
y = 6x + 14
She must combine like terms, not unlike terms
I need help on 26 please and thank you
Answer:
your answer is 1.65 or E :)
how do u simplify 4625/1000
Answer:
37/8
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator. GCD of 4625 and 1000 is 125.
4625 ÷ 1251000 ÷ 125.
Reduced fraction: 378. Therefore, 4625/1000 simplified to lowest terms is 37/8.
what is the equation of the blue line? (see photo)
Answer:
y= -x-1
Step-by-step explanation:
(x1,y1) = (-1,0) ; (x2,y2) = (0,-1)
y=mx+b
m=[tex]\frac{y2-y1}{x2-x1}[/tex]=[tex]\frac{-1-0}{0-(-1)}[/tex]=[tex]\frac{-1-0}{0+1}[/tex]=[tex]\frac{-1}{1}[/tex]=-1
Then substitute either x1y1 or x2y2 (it's gonna give the same answer anyways) and m to find b.
y=mx+b
0=(-1)(-1)+b
0=1+b
0-1=1-1+b
b=-1
Then substitute b and m to get the equation.
y=(-1)x+(-1)
y= -x-1
Which figure in the drawing best represents a dilation of figure A with a scale factor of 1.5?
A.r
b.q
c.s
d.t
4. Algebra If in one year a city
recorded a total of 97 rainy days,
how many of the days did it NOT
rain? Write and solve an equation.
Answer:
268.25
Step-by-step explanation:
by using the fact that one year is 365.25 days, we can subtract our 365.25 by our 97 to get 268.25, written in the equation of 365.25-97=268.25
*edit, messed up how long a year was, corrected my issue, answer & equation.
Answer:
Step-by-step explanation:
How many did not rain is 268 because if you take away 97 from 365 ofcourse it will be 268 you’re welcome
Answer Asap!
<3 <3 <3
Thx
Answer:
the answer is 15/17
because cosine=b/h=UV/UW=15/17
Solve the simultaneous equation
3x-4y=11
9x+2y=5
Answer:
I assume you are looking for the x and y values of the two equations? if not message me!
y=–2
x=1
Step-by-step explanation:
Multiply the first/top tearm by –3 so we can "get rid of" the X's with the addition of both equations. we are then left with: 14y=-28
We can now divide both sides by 14 to get y by itself so we are left with: y=–2
plugging our y value back into the first equation we get: 3x+8=11. we subtract 8 from both side and are left with: 3x=3. dividing both side by 3 we can get x by itself and are left with: x=1
To check, we plug x and y both into the first equation we get: 3+8=11 (which it does). Or we can plug both of them into the second equation and we get:9-4=5 (which it does)
Answer:
Below in bold.
Step-by-step explanation:
3x-4y=11
9x+2y=5
Multiply the first equation by 3:
9x - 12y = 33
Subtract the above from the second equation:
2y - (-12y) = 5 - 33
14y = -28
y = -2.
Now plug y = -2into the first equation:
3x - 4(-2) = 11
3x = 11 - 8 = 3
x= 1.
please help please help
Answer:
35
Step-by-step explanation:
It is asking you for the absolute value which is the distance from zero. Picture it on a number line. It is 35 spaces from zero.
I hope this helps!!!
Answer:
C) 35
Step-by-step explanation:
The absolute value of a number can be thought of as the distance the number is from zero on a number line. A distance is never a negative number. It can be zero or a positive number.
Asking what is |-35|, the absolute value of -35, is the same as asking "how far is -35 from zero on a number line?" The answer is 35.
To find the absolute value of a number do this:
If the number is zero, then its absolute value is 0. |0|= 0
If the number is positive, then the absolute value is just the number. For example, |9| = 9
If the number is negative, then just drop the negative sign. Example: |-3| = 3
solve pls brainliest
$200
Step-by-step explanation:Simple interest is the same value of interest each year. It is based on the original value. The original value here is $5000.
You must find 2% of the $5000 dollars. This is 0.02 * 5000, or $100.
The question asks for the value after two years, so you must double this to $200.
The question asks how much interest he is paid, which does not include the original $5000. The answer is therefore $200.
Population Growth Using 20th-century U.S. census data,
the population of Ohio can be modeled by
12.79
P(1) =
1 + 2.402,-0.0309
where P is the population in millions and r is the number of
years since April 1, 1900. Based on this model, when was the
population of Ohio 10 million?
The population of Ohio will be 10 million in the year 1970
The population growth of Ohio is represented by the function:
[tex]P(t)=\frac{12.79}{1+2.402e^{-}0.0309t}[/tex]
P is the population in millions
t is the number of years since 1900
To find the year that the population of Ohio will be 10 million, substitute P = 10 into the function P(t) and solve for t
[tex]10=\frac{12.79}{1+2.402e^{-}0.0309t}\\\\10(1+2.402e^{-}0.0309t)=12.79\\\\1+2.402e^{-}0.0309t=\frac{12.79}{10} \\\\1+2.402e^{-}0.0309t=1.279\\\\2.402e^{-}0.0309t=1.279-1\\\\2.402e^{-}0.0309t = 0.279\\\\e^{-}0.0309t =\frac{0.279}{2.402} \\\\e^{-}0.0309t =0.116\\\\-0.0309t=ln0.116\\\\-0.0309t=-2.154\\\\t=\frac{-2.154}{-0.0309} \\\\t=69.7[/tex]
t = 70 years (to the nearest whole number)
70 years after 1900 will be 1970
Therefore, the population of Ohio will be 10 million in the year 1970
Learn more here: https://brainly.com/question/25504185
An adventure race is 9.75 mi long. The race is divided into equal sections. Each section is 0.75 mi long. The race organizer needs 4 volunteers in each section. How many volunteers does the race organizer need? Show your work.
Step-by-step explanation:
9.75/.75 = 13
which means the race is divided into 13 equal section according to the question in which each section is 0.75 m long.
as 4 volunteers are needed in each section
so keeping this in mind 13×4 = 52
therefore, 52 volunteers race organizer need.
hope this answer helps you dear! take care
If it takes 7 people 8 days to dig a ditch, how many people would it take to dig the ditch in 1/2 day
Answer:
112
Step-by-step explanation:
8 days when fitted into a half (1/2) gives you 16
7 times 16 gives the answer of 112 (people needed)
Answer:
112 people to do it in 1/2 of a day
Step-by-step explanation:
7 · 8 = 56
56 ÷ ½ = 112 people to dig a ditch in 1/2 of a day
a square has a shaded part with 7cm and 4cm and 40 cm. workout the percentage of the are inside the square that is shaded
Answer:
68
Step-by-step explanation:
You multipliy 7x4 and you get 28 now you add the 40+28=68.
What is the name of this angle?
Help
Answer:
Acute is correct. It should not be confused with the girl at the desk ahead. She's a cutie. Cuties all have angles, so caution.
Step-by-step explanation:
F) A wall in a house is currently 12 feet long and a contractor wants to add 108 inches to the wall. How long will the
extended wall be in yards?
(A) 5yards
(B) 7yards
(C) 8yards
(D) 10yards
(E) 17yards
. Suha has a full 600 ml bottle of wallpaper remover. She is going to mix some of the wallpaper remover with water. Here is the information on the label of the bottle. Wallpaper remover 600 ml 1 Mix of the wallpaper remover 4 with 4500 ml of water Suha is going to use 750 ml of water. How many millilitres of wallpaper remover should Suha use? You must show your working.
Answer:
25ml of wallpaper remover
Step-by-step explanation:
(y = amount of wallpaper remover)
4500×4 = 18000
18000:600
750 : y
18000y = 600×750
18000y = 450000
y = 450000÷18000
y = 25
PLS HELP PLS ILL GIVE BRAINLKEST THANKS
Answer:
2 d>7 because at first you have to distance how much hours is from Virginia to Florida and thats approximately 12hrs and 33 minutes so, d is greater than 7 hours
Side AB of a parallelogram ABCD is produced upto point E. If m<CBE = 35°, find m<ADC.
Answer:
The measure of ∠ADC = 145°
Step-by-step explanation:
ABCD is a Parallelogram.
AB is produced to E .
∠CBE = 35°
We know that
∠ABC + <CBE = 180[tex]\degree[/tex]
Since , they are linear pair
➜ ∠ABC + 35° = 180°
➜ ∠ABC = 180°-35°
➜ ∠ABC = 145°
We know that
In a Parallelogram, Opposite angles are equal.
➜ The opposite angle of ∠ABC = ∠ADC
➜ ∠ADC = 145°
Therefore, The measure of ∠ADC = 145°
Read more:Similar Questions
In the accompanying diagram of the parallelogram ABCD, AB is extended to E such that CB is congruent to CE. If m< ADC = 100, what is m<CEB?
https://brainly.com/question/22056209?referrer
What are the values of m and n
Answer:
m = 20°, n = 45°Step-by-step explanation:
Both of the triangles are isosceles as marked on the diagram.
The right triangle has missing angles of:
n = 90°/2 = 45°The missing angles of the bigger triangle:
m + n = 1/2(180° - 50°)m + 45° = 65°m = 20°
6) Convert 2pie/3 to degrees
A) 30°
B) 60°
120°
D) 240°
If Ram had 5 apples in house , now calculate the number of apple's in his neighbours house .
Answer:
Ram's neighbors probably had more apples than Ram.
Hence, number of apples in the neighbor's house is equal to [tex] \geqslant 5[/tex].
Step-by-step explanation:
Hello bro ufff.... Finally found u xD-,-
Question
Solve the equation.
q+5/9=1/6
q=
Answer:
q = - [tex]\frac{7}{18}[/tex]
Step-by-step explanation:
q + [tex]\frac{5}{9}[/tex] = [tex]\frac{1}{6}[/tex]
Multiply through by 18 ( the LCM of 9 and 6 ) to clear the fractions
18q + 10 = 3 ( subtract 10 from both sides )
18q = - 7 ( divide both sides by 18 )
q = - [tex]\frac{7}{18}[/tex]
Use the linear combination method to solve the system of equations. *Explain each step of your solution.
2x - 3y = 13
x + 2y = 4
Step 1: We have the next system of equations -
[tex]2x - 3y = 13[/tex]
[tex]x + 2y = 4[/tex]
Step 2: Now, we will multiply by -2 the second equation:-
[tex] - 2(x + 2y) = 4[/tex]
[tex]→ - 2x - 4y = - 8[/tex]
Step 3: Then we add it :-
[tex]2x - 3y = 13[/tex]
[tex]( + ) \: - 2x - 4y = - 8[/tex]
Step 4: After finding the sum, we simplify:-
[tex] - 7y = 5[/tex]
[tex]→y = - \frac{5}{7} [/tex]
Then, substitute the above y value to find x's value in any equation of Step 1. Now, I used to second equation in Step 1:-
[tex]x = - 2( \frac{ - 5}{7}) + 4[/tex]
Step 5: Then simplify :-
[tex]y = \frac{38}{7} [/tex]
Therefore, the final answer is :-
[tex]x = \frac{38}{7} [/tex]
and
[tex]y = \frac{5}{7} [/tex]
------------------------★---------------------
Answered by Benjemin360 ☺️
Can someone help me. All i need o know is what is the value after 10 years i done the equation part by myself
NO BOTS OR ILL REPORT YOU!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
ILL GIVE BRAINLY TO CORRECT ANSWER
100 points
Answer:
$4811
Step-by-step explanation:
Initial price = 35,000
18% decrease anually = 18/100 = -0.18
after 10 years
substitute these values in the formula shown in below figure
A = 35000 * ( 1 + -0.18/1 ) ^10
= 35000 * 0.82^10
= 4,810.681
= $4811
4. What are the zeroes
of y = x^2 + 2x – 8? (1 point)
-4, 2
4, 2
-4,2
4, 2
Answer:
-4,2
Step-by-step explanation:
(x-2) (x+4)=0
x-2=0
x=2
x+4=0
x= -4
Answer:
x=-4, x=2
Step-by-step explanation:
Whenever a question asks you to find the zeros of a quadratic equation, they are essentially asking you to find the x-intercepts. To find the x-intercepts, you simply need to equate y to zero and solve for x.
There are two main ways to find the intercepts - by the quadratic formula and factoring. I will demonstrate both below.
When factoring, a popular method is the diamond box method. First, make an x on your paper. In the top nook of the x, write the product of a and c in y=ax^2 +bx +c. Here, it is -8*1=-8. In the bottom nook, write the b value. Here it is 2. Find two numbers that multiply to ac or -8 and add up to b or 2 and write them in the side nooks. In this problem, they are 4 and -2 (4*-2=-8 and 4+(-2)=2). Then, make a box. On the top left corner, write the first term (here it is x^2) and on the bottom right corner write the constant term (here it is -8) and write the two values you found earlier in the remaining boxes. Now, find values that multiply to each of the respective terms. Sorry, this sounds super confusing, I have included a picture below of what the result should look like. Once you have it factored, make y equal to zero and solve for both x's. You should get x=2 and x=-4. Keep in mind, sometimes, a problem might not be factorable. If it isn't, you have to use the method below.
Another popular way to find the roots is the quadratic formula. I have included a picture of it below. All you have to do is substitute the coefficients in and solve for x. You should get two solutions in this scenario.