Answer:
First one: x = all real numbers
Second one: x = 0
Step-by-step explanation:
for the first one
given 8x+10=2(4x+5) we need to isolate the variable (x) using inverse operations
step 1 distribute the 2 to what is in the parenthesis ( 4x and 5 )
2 * 4x = 8x
5 * 2 = 10
now we have 8x + 10 = 8x + 10
step 2 subtract 8x from each side
8x - 8x = 0
8x - 8x = 0
now we have 10 = 10
subtract 10 from each side
10 - 10 = 0
10 - 10 = 0
we're left with 0 = 0 meaning that all real numbers are solutions
For the second one
given 3x-8=2(x-4) once again we need to isolate the variable using inverse operations
step 1 distribute the 2 to what is in the parenthesis (x - 4)
2 *x = 2x
2 * -4 = -8
now we have 3x - 8 = 2x - 8
step 2 add 8 to each side
-8 + 8 = 0
-8 + 8 = 0
now we have 2x = 3x
step 3 subtract 2x from each side
3x - 2x = x
2x - 2x = 0
we're left with x = 0
Coom somebody help me with this problem, please.*
*brainiest goes to first answer and correct answers
Answer:
A. is 4
B. is 3
C. is 1
D. is 2
help pls question/problem in image
Answer:
It's rotated around (0,0)
Step-by-step explanation:
A sector of a circle has a central angle of 60°. find the area of each sector if the radius of the circle is 10in
Answer:
i have made it in above picture
hope it helps
I need this done, please
. Write an inequality for each
sentence:
CA. You must be older than 13 to
play in the basketball league.
B. To use one stamp, your
domestic letter must weigh
under 35 ounces.
C. You must be over 48 inches
tall to ride the roller coaster.
Find the scale factor of trapezoid \mathrm{Q}\mathrm{R}\mathrm{S}\mathrm{T}QRST if it is dilated to \mathrm{Q}^{'} \mathrm{R}^{'} \mathrm{S}^{'} \mathrm{T}^{'}Q ′ R ′ S ′ T ′ . Type your result in the empty box provided below.
Question:
Find the scale factor of trapezoid [tex]\mathrm{Q}\mathrm{R}\mathrm{S}\mathrm{T}[/tex] if it is dilated to [tex]\mathrm{Q}^{'} \mathrm{R}^{'} \mathrm{S}^{'} \mathrm{T}^{'}[/tex].
Type your result in the empty box provided below.
Answer:
The scale factor is 2
Step-by-step explanation:
Given
See attachment for plots
Required
Determine the scale factor
Using QR and Q'R' as points of reference.
From the attached plot, we have:
[tex]QR = 4\ units[/tex]
[tex]Q'R' = 8\ units[/tex]
The scale factor (k) from [tex]\mathrm{Q}\mathrm{R}\mathrm{S}\mathrm{T}[/tex] to [tex]\mathrm{Q}^{'} \mathrm{R}^{'} \mathrm{S}^{'} \mathrm{T}^{'}[/tex]. is:
[tex]k = \frac{Q'R'}{QR}[/tex]
[tex]k = \frac{8\ units}{4\ units}[/tex]
[tex]k =2[/tex]
Anna's toy car traveled 0.7 meters. Hector's toy car traveled 0.72 meters. Whose car traveled farther?
Answer:
hector's toy
Step-by-step explanation:
it traveled .02 m farther
Answer:
Step-by-step explanation:
Think money
which is more 70 cents or 72 cents?
The answer should be 72 cents.
So .72 - .70 = 0.02
.72 is larger.
this is algebra please help
Answer:
1. 1/8 2. 1/16
Step-by-step explanation:
I do not know how to explain, but I am right.
I don't UNDERSTAND THIS PROBLEM PLEASE HELP ME SOLVE IT
Answer:
I don't understand either so I can't help
Find the length of AB .
E
12
B
D
AB
Answer:
23
Step-by-step explanation:
what is the awnser to (0.2 + 0.982) + 8 =
Answer:
9.182
Step-by-step explanation:
0.2 + 0.982 = 1.182
1.182 + 8 = 9.182
I need help on this test. Will give Brainliest to whoever answers first!
Answer:
C and G.
Step-by-step explanation:
PLEASE HURRY : A container is 40% filled with liquid. The container holds 1560 gallons of liquid. How many gallons of liquid are needed to fill the container to top?
how do you solve 10.50 X 8.5
Answer:
89.25
Step-by-step explanation:
because:
it just is
Someone help please !!
Answer:
what grade is this?
The number of bacteria can be represented by the equation A(t)=200(.75)^t, wherr A(t) is the amount of bacteria in grams and t is the number of days. a. Is this function growth or decay? b. What percent is the bacteria decreasing by each day? c. How many grams of bacteria will there be in 1 week? d. After how many days will there be half the initial amount of bacteria left?
Answer:
Step-by-step explanation:
a. This is a decay function, since the final value (A) gets smaller and smaller as the days pass by.
b. The bacteria is decreasing by 75% per day exponentially.
c. In order to calculate the amount of bacteria in a week we simply substitute the variable t for 7 (7 days in a week) and solve for A
A = 200(0.75)^7
A = 26.7 bacteria after 1 week
d. In order to calculate this we need to substitute the variable A with 100 and solve for t
100 = 200(0.75)^t ... divide both side by 200
0.5 = 0.75^t
[tex]\frac{ln(0.5)}{ln(0.75)}[/tex] = t
2.4 = t
It will be half the initial amount after 2.4 days.
Ms. Neeson baked 30 cookies. 5 sixths of the cookies were oatmeal. How many oatmeal cookies did Ms. Neeson bake?
Answer: u find 5/6 of 30 cookies. of means to multiply do 5/6*30=
Step-by-step explanation:
Can I get some help?
The radius of a circle is 5 m. Find its circumference in terms of \piπ.
Answer: C≈ 31.42m
C=2πr=2·π·5≈31.41593m
Step-by-step explanation: hope this helps
Help 15 points!!
A central angle of a circle of diameter 6 cm measures 86°. What is the length of the intercepted arc?
A)
2.8 cm
B)
4.5 cm
C)
5.1 cm
D)
9 cm
Answer:
B)
4.5 cm
Step-by-step explanation:
The formula for arc length when our central angle is in degrees =
2πr(θ/360)
θ = 86°
Diameter = 6cm Radius = Diameter /2
Radius = 6cm/2 = 3cm
Hence,
Intercepted arc length = 2 × π × 3 (86/360)
= 2 × π × 3 × 0.2388888889
= 4.5029494701 cm
Approximately = 4.5 cm
Option B is the correct answer
A members-only speaker series allows people to join for $19 and then pay $4 for every
event attended. What is the maximum number of events someone can attend for a total
cost of $31
Answer:
The answer is 3 events.
Step-by-step explanation:
I say this because the initial fee is $19, and its $4 per event so 4x3=$12 and $19 + $12 = $31 .
Ashley started a savings account with Chase bank. She initially put in $200 in her account. If she was granted a .08% semi-annually, how much would she have in her account after a year?
PLEASE HELP
The filament of a car headlight is a thin wire that glows when electricity passes through it. Parabolic reflectors with a filament at the focus send light out in a straight beam. The cross section of a 2 inch deep headlight reflector has the equation y2=6x.
A. Draw a sketch of this situation. Include the location of the focus in your drawing.
B. How wide is the beam of light projected from the headlight's reflector? Show all work and give your answer as a decimal rounded to hundredths place.
Answer:
A. Please find attached the drawing of the reflector showing the location of the focus created with Microsoft Excel
B. The width of the beam of light projected from the headlight's reflector is approximately 6.93 inches
Step-by-step explanation:
The given equation representing the cross section of the headlight reflector is y² = 6·x
The shape of the reflector = Parabolic
The general equation of a parabola is (y - k)² = 4·p·(x - h)
The focus of the parabola, Focus = (h + p, k)
By comparison to the general equation of a parabola, from the equation of the reflector, we have;
k = 0, h = 0, 4·p = 6
∴ p = 6/4 = 3/2 = 1.5
∴ The focus of the parabola = (1.5, 0)
A. Please find attached the graph of the equation of the cross-section of the reflector, showing the filament at the focus, created with Microsoft Excel
B. The depth of the reflector is x = 2 inches
A vertical or horizontal parabola has two x-values for a given y-value or two y-values for a given x-value respectively
For the given horizontal parabola, the width of a parabola at a point is the difference between the two y-values at the point
At x = 2, we have;
y² = 6 × x = 6 × 2 = 12
∴ y = ±√(12)
The two y-values at x = 2 are y₁ = √(12) and y₂ = -√(12)
The width of the parabola, w = y₁ - y₂
The width of the parabola at x = 2, w = √(12) - (-√(12))
∴ w = √(12) +√(12) = 4·√3
The width of the parabola at x = 2, w = 4·√3 inches
The width of the parabola at x = 2 = The width of the beam of light projected from the headlight's reflector = 4·√3 inches
By giving the answer as a decimal and rounded to the hundredths place, we have;
The width of the beam of light projected from the headlight's reflector ≈ 6.93 inches.
please someone help me!!! I don’t really understand what the question is asking! Plz no links, we all know they don’t help. If someone answers clearly, then i’ll give the crown to that person!
Answer:
D=360 M=288 V=648
Step-by-step explanation:
Can anyone help me with these questions? I am sorry if they aren’t a lot of points.
Answer:
Question 1: A
Question 2: B
Question 3: C
Step-by-step explanation:
Please give me brainliest if this helps! :)
twice a certain number x is less than 8. Find the range of values of the number
Answer:
F=2x +2
Step-by-step explanation:
The range of values for the certain number "x" is all real numbers less than 4.
Let's represent the certain number as "x."
The problem states that twice the certain number (2x) is less than 8. Mathematically, we can write this as:
2x < 8
Now, to find the range of values for "x," we need to solve for "x."
Divide both sides by 2:
x < 8/2
x < 4
So, the range of values for the certain number "x" is all real numbers less than 4. In interval notation, the range is (-∞, 4). This means "x" can take any value less than 4, including negative values and fractions that are less than 4.
To know more about number:
https://brainly.com/question/30609281
#SPJ2
Charlie is saving for a new computer desk. The table costs $70. So far, she has already saved $35/ Write an equation to show how much more does she need to save to buy the desk. *Let x represent the amount of money that needs to be saved
Answer:
x + 35 = 70
-35 -35
–––––––––––
x = 35
Step-by-step explanation:
35 + 35 = 70
:))
If xy + 12 = 6x + 7, find y if x =5.
Answer: look at the picture
Step-by-step explanation: Hope this help :D
Answer:
y=25
Step-by-step explanation:
Mike has a fish tank in the shape of a rectangular prism with dimesions of 6 feet by 5 feet by 3 feet. He has a canister that he uses to fill up the fish tank that is in the shape of a cylinder with a diameter of 2 feet and a height of 4 feet. How many tiems will he need to fil up the canister to fill up the tank?
Answer:
7 times
Step-by-step explanation:
To answer this question :
1. the volume of the rectangular prism has to b determined
2. the volume of the cannister has to be determined
3. divide the volume of the rectangular prism by the volume of the cannister
Volume of the rectangular prism = Width X Height X Length = 6 x 5 x 3 = 90ft³
Volume of a cylinder = πr²h
where
h = height
π = 3.14
Diameter = 2r
radius = 2/2 = 1 feet
3.14 x 1 x 4 = 12.56 feet
90 / 12.56 = 7.2 times
Approximating to the nearest whole number gives 7 times
LeBron keeps track of events in his life relative to the year he was born. Relative to when he was born, his brother was born in year −3, and his family moved in year 7.
Which one of the following inequalities correctly compares the relative years?
Choose 1 answer:
(Choice A)
-3 > 7
(Choice B)
7 > -3
Which one of the following descriptions is correct?
Choose 1 answer:
(Choice A)
LeBron's family moved after his brother was born.
(Choice B)
LeBron's brother was born after his family moved.
Answer:
B then A
Step-by-step explanation:
Just easy
Answer:
first is A
then is B
Step-by-step explanation:
your welcome