Answer:
[tex] \huge \boxed { \boxed{x = \{6 , - 6 \}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:absolute valueequationPEMDAStips and formulas:|a|=±alet's solve:[tex] \sf divide \: bothe \: sides \: by \: 5 : \\ \frac{ 5|2x| }{5} = \frac{60}{5} \\ |2x| = 12[/tex][tex] \sf seperate \: the \: equation \:in \: 2 \:parts : \\ \begin{cases}2x = 12 \\ \: 2x = - 12\end{cases}[/tex][tex] \sf \: di vide \: both \: sides \: by \: 2 : \\ \begin{cases} \frac{2x}{2} = \frac{12}{2} \\ \: \frac{2x}{2} = \frac{ - 12}{2} \end{cases} \\ \therefore x = \{6 , - 6 \}[/tex]Model With Mathematics A photographer is
placing photos in a mat for a gallery show.
Each mat she uses is x in, wide on each side.
The total area of each photo and mat is
shown
Answer:
a. The possible dimensions of the total area are;
The width of the total area is (2·x + 8) inches
The length of the total area is (2·x + 10) inches
b. The dimensions of the photos are as follows;
The length of the photos are 10 inches
The width of the photos are 8 inches
Step-by-step explanation:
a. Given that the area, A = 4·x² + 36·x + 80
We get;
A = 4 × (x² + 9·x + 20) = 4 × (x + 4) × (x + 5) = (2·x + 8)·(2·x + 10)
Therefore, the possible dimensions of the total area (photo + mat) are;
The width of the total area (photo + mat) = (2·x + 8) in.
The length of the total area (photo + mat) = (2·x + 10) in.
b. The dimensions of the photos alone are shorter than the dimensions of the photo and mat combined by 2·x each
Therefore, we have the dimensions of the photos are as follows;
The length of the photo = (2·x + 10) in. - 2·x in. = 10 in.
The width of the photos = (2·x + 8) in. - 2·x in. = 8 in.
Since 2005, the amount of money spent at restaurants in a certain country has increased at a rate of 5% each year. In 2005, about $290 billion was spent at restaurants. If the trend continues, about how much will be spent at restaurants in 2020? PLEASE HELP ME
Answer:
About $603
Step-by-step explanation:
Given data
The time interval 2005-2020= 15 years
The principal amount spent= $290 billion
The rate= 5%
Let us apply the compound interest formula
A=P(1+r)^t
substitute
A=290(1+0.05)^15
A= 290(1.05)^15
A= 290*2.0789
A= $602.881
Hence about $603 will be spent in 2020
solve (8.5) . (-3) =a
Answer:
The answer is a = -25.5
Step-by-step explanation:
(8.5) . (-3) =a
-25.5 = a
a = -25.5 is your answer
Answer:
a = -25.5
Step-by-step explanation:
Estimate the answer by rounding each fraction to the nearest whole number and then subtracting.
Answer:
[tex]3\frac{1}{12}[/tex]
Step-by-step explanation:
[tex]4\frac{1}{3} -1\frac{1}{4} \\\\\frac{13}{3} -\frac{5}{4} \\\\\frac{52}{12} -\frac{15}{12} \\\\\frac{37}{12} =3\frac{1}{12}[/tex]
What makes a mathematical statement an equation.
Answer:
Step-by-step explanation:
In mathematics, an equation is a statement that asserts the equality of two expressions, which are connected by the equals sign "=".
In the circle below, QS is a diameter. Suppose =mQR76° and =m∠QRT46°. Find the following.
Answer:
∠ RQS = 58°, ∠ SRT = 44°
Step-by-step explanation:
The angle at the centre of a circle is equal to the measure of the arc that subtends it, then
angle at centre = arc QR = 76°
∠ RQS = 180° - (76 + 46)° ← sum of angles in a triangle
∠ RQS = 180° - 122° = 58°
-------------------------------------------------
∠ SRQ = 90° ( angle in a semicircle )
∠ SRT = 90° - ∠ QRT = 90° - 46° = 44°
math please help <<--- aaaa
Answer:
Step-by-step explanation:
[tex]H(t) = 14000(0.8)^{t +3}\\\\ = 14000*(0.8)^{t}*(0.8)^{3}\\\\=14000*(0.8)^{t}*0.512\\\\=7168(0.8)^{t}[/tex]
Answer:
it is 7168(0.8)t
Step-by-step explanation:
hope this helped
PLEASE HELP!!!
What is mDBC?
Answer:
i dont get the question sorry
Step-by-step explanation:
Landon, Wes, and Tim attempted 25 basketball shots each.HELP ASAP
• Landon made 36/100 of his shots.
• Wes made 2/5 of his shots.
• Tim made 32% of his shots.
Which statement it true
Wes made the most shots.
Landon made more shots than Wes.
Tim made more shots than Landon.
Landon, Wes, and Tim made the same number of shots.
Answer: Wes made more shots
Step-by-step explanation:
How many faces does a solid with 12 vertices and 18 edges have?
28, 18, 6, or 8?
Answer:
8 faces
Step-by-step explanation:
In geometry, the hexagonal prism is a prism with a hexagonal base. This polyhedron has 8 faces, 18 edges, and 12 vertices.
Hope this helps!
Peter needs to build a fence around his small garden. The length of the fence can be no more than 10 ft., and he has 50 ft. of fencing that he can use. What are the possible dimensions of his garden?
Answer:
A backyard farmer wants to enclose a rectangular space for a new garden. She has purchased 80 feet of wire fencing to enclose 3 sides, and will put the 4th side against the backyard fence. Find a formula for the area enclosed by the fence if the sides of fencing perpendicular to the existing fence have length
L.
In a scenario like this involving geometry, it is often helpful to draw a picture. It might also be helpful to introduce a temporary variable,
W, to represent the side of fencing parallel to the 4th side or backyard fence.
Since we know we only have 80 feet of fence available, we know that
L + W + L = 80, or more simply, 2L + W = 80. This allows us to represent the width, W, in terms of L: W = 80 – 2L
Now we are ready to write an equation for the area the fence encloses. We know the area of a rectangle is length multiplied by width, so
A = LW = L(80 – 2L)
A(L) = 80L – 2L2
This formula represents the area of the fence in terms of the variable length
L.
Step-by-step explanation:
it's in the answer
Simplify [tex]\sqrt[3]{-1000}[/tex]
100
-100
-10
Answer:
-10
Step-by-step explanation:
Edge 2021
A box contains 2 plain pencil and 2 pens A box contains 3 color pencils and crayons . One item from each box is chosen random What is the probability that a plain pencil from the first box and a color pencil from the second box are selected ? write your answer as a fraction in simplest form
make a probability tree it will really help so much
Joe’s business is growing and he is contemplating investing in a commercial property. Matt, his business partner, does not agree to his proposal. Which sentences in the given passage support Joe’s view?
Buy or Lease
One always needs to weigh the pros and cons before investing in a commercial property. Commercial properties generally yield a higher percentage off the purchase price. It would require a huge capital expenditure. If the commercial property is leased to other businesses, it could bring in revenue for the business. Leasing the property would lead to more people using the property each day.
The answer is, commercial properties generally yield a higher percentage off the purchase price, and if the commercial property is leased to another business, it could bring revenue for the business.
juan can walk to school a distance of 1 mile, in 12 minutes . assuming he walks at a constant rate what is Juan’s constant speed ? write a linear equation in two variables to represent Juan’s constant speed.
Answer:
1 mile every 12 miniutes
Step-by-step explanation:
ratio table will help you
Help!!!!! Math work!!!!!!
ILL GIVE BRAINLEIST
Options:
1. 40
2. 50
3. 80
4. 100
Answer: I would probably say c 80
Step-by-step explanation:
ABC is dilated using a scale factor of 2.5. Which property does not change?
A. side lengths
B.angle measures
C.area
D.perimeter
What is the solution y=5(x/10-2)
Answer:
you weren't clear if we have to solve for x or y so I did both of them. hope this helps!
Step-by-step explanation:
PLeaseeee help
Solve the equation
5(- 3x - 2) = ?
Answer:
answer is for x value 2/3
Please help
A 297 and 323
B245and 323
C 297 and 369
D 323 and 369
Answer: c
Step-by-step explanation:
Pls, help me! I have less than 5 minutes to complete this. This is worth 1/2 of my grade.
Answer:
A= 16 cubes²
Step-by-step explanation:
The length, or the base, is 4 units. The height of the shape is 2, and the width is 2. If we use the formula of volume, l·w·h, we can say that V=4x2x2. So, 4x2x2=16.
students of Grade 5 together sold T- shirts for a 6 fundraiser at $ 360. Find the average number of T- shirts each student sold ?
$40
$50
$60
Answer:
$60
Step-by-step explanation:
360 is for 6 T-shirt, so 1 T-shirt is:
$360 : 6 = $60
note: I feel like this question has a wierd wording
Grace earns $7 for each car she washes. She always saves $21 of her weekly earnings. This week, she
wants to have at least $66 in spending money. How many cars must she wash?
Answer: 13
Step-by-step explanation:
[tex]66\geq 7x-21[/tex]
add 21 both sides
[tex]87\geq 7x[/tex]
divide both sides by 7
[tex]12.4\geq x[/tex]
So more than 13 cars
if there are 280 beats in 4 seconds, how many seconds are there in 70 beats? please help this is due today!
1second because 70 beats =1 second
If 3x + 2 = 4, what is the value of 6x - 4?
2
8
0
-2
Answer:
0
Step-by-step explanation:
3x + 2 = 4
4-2 = 3x
2 = 3x
x = 2/3
2/3 x 6 = 12/3 = 4 - 4 = 0
3.7 x 10 to the power of 2
Answer:
1369
Step-by-step explanation:
3.7 x 10 = 37 x 37 = 1369
A student said that 3 raised to power 5 / 9raised to power 5 is the same as1/3. What mistake has the student made?Write the correct answer.
What is 2x+5=25? I would like to know it step by step please.
Step-by-step explanation:
subtract 5 from 25 and it should look like this
2x=20
divide 2 and your is 10
Answer:
No problem! Well first off, x is 10.
Step-by-step explanation:
So you know that 2 times a certain number, plus 5, is 25. The first step to solving this problem is subtracting 5 from the total (25) to give you 20. This just makes it easier to find x, so you technically don't have to do it. So now, you know that 2 times a certain number equals 20 (because we got rid of the 5). Now, just divide your number (20) by 2, to get that x is 10. Let's check our answer.
2(10) + 5= 2520 + 5= 25
25= 25.
Works out!
Please like and mark brainliest!
Hope it helps!
classify as a acute, right, obtuse or not a triangle : 9in, 40in, 44in
Answer:
Acute.
Step-by-step explanation:
your welcome:)))))))