Answer:
x = 5
Step-by-step explanation:
The difference between consecutive terms will be equal , then
a₂ - a₁ = a₃ - a₂ , that is
x + 9 - (3x - 2) = 2x + 5 - (x + 9) ← distribute parenthesis on both sides
x + 9 - 3x + 2 = 2x + 5 - x - 9 , simplify both sides
- 2x + 11 = x - 4 ( subtract x from both sides )
- 3x + 11 = - 4 ( subtract 11 from both sides )
- 3x = - 15 ( divide both sides by - 3 )
x = 5
Answer:
x = 5
Step-by-step explanation:
Each new term is 1 greater than the previous term. Therefore:
x + 9 = (3x - 2) + 1 Equivalent to x + 9 = 3x - 2 + 1, or:
9 + 2 - 1 = 2x, or 2x = 10
Thus, x = 5
Check by substituting 5 for x as indicated:
3x - 2 becomes 13 (which means the next term must be 14)
x + 9 becomes 14, and
2x + 5 becomes 15
and these consecutive sequence terms are {13, 14, 15}
1. A zoo has an Asian elephant that weighs 6 tons. The elephant got sick and lost 1450 pounds. What is the elephants new weight in tons? 2. In a package of balloons, the ratio of purple balloons to green balloons is 3 to 4. What could be the total number of balloons in the package? 3. The ratio of red flowers to yellow flowers in a field is 5 to 7. If there are 392 yellow flowers in the field, how many red flowers are there?
Answer:
1. The new weight of elephant is 5.342 tones.
3. The number of red flowers are 280.
Step-by-step explanation:
1. weight of elephant = 6 tons
weight lost = 1450 pounds
As , 1 pound = 0.000454 ton
So, 1450 pounds = 0.658 ton
The new weight of elephant is
= 6 - 0.658 = 5.342 tones
3.
red flower to the yellow flower is 5 : 7
Number of yellow flowers = 392
Let the red flowers are R.
So,
[tex]\frac {5}{7}=\frac{R}{392}\\\\R = 280[/tex]
The circumference of the top rim of the cone shaped paper cut is 7.87 inches. Find the least amount of paper that can for a cone shaped cup
Answer:
14.55 square inches
Step-by-step explanation:
From the figure it is given that,
The circumference of the top rim of a cone shaped paper cut = 2πr = 7.87 inches
The slant height is l = 3.7 inch
Therefore the least amount of paper which can form a cone shaped cup is the surface area of the cone.
The surface area of the cone is given as :
[tex]$A=\frac{2 \pi r l}{2}$[/tex]
[tex]$A=\frac{(2 \pi r) (l)}{2}$[/tex]
[tex]$A = \frac{(7.87) \times (3.7)}{2}$[/tex]
[tex]$A=\frac{29.119}{2}$[/tex]
A = 14.55 square inches
Amount of paper required = 14.55 square inches
8 + 52) X [(9 - 7)2 ➗ 2
I think answer is 120 right?
Sorry if my answer is incorrect.
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {120}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex](8 + 52) \times [(9 - 7)2 \div 2][/tex]
➼[tex] \: (60) \times [(2)2 \div 2][/tex]
➼[tex] \: (60) \times (4 \div 2)[/tex]
➼[tex] \: 60 \times 2[/tex]
➼[tex] \: 120[/tex]
Note:-[tex]\sf\purple{PEMDAS\: rule.}[/tex]
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Solve the inequality.
x + 5 < 6
x<
Answer:
x<1
Step-by-step explanation:
x+5<6 - 6-5
x<1
find h r=4 l=9
im lost
( 15points)Help!!! I need to finish this less than 10 minutes
PlzzPlease help me bunnies <3
No monkey business plz. Or I will report
Okay! When you are ready, let me know what you need help with. Just comment this answer!
What is the question here?
Use Venn diagrams notation to describe the shading of
A
B
Answer:
A ∩ B
Step-by-step explanation:
The shaded part is in common between the two diagrams
We can write this part in this way :
A ∩ B
Evaluate the expression when a=-5 and c=3.
a-5c
Answer:
its either -20 or -7
Step-by-step explanation:
i believe its -20 tho hope it helps
Answer:
-20
Step-by-step explanation:
a-5c
a = -5 and c=3
-5 -5(3)
Multiply
-5 - 15
-20
HELPPPPPPPPPP!!!! IF ITS RIGHT I WILL MARK
Solve 3t + 2 = 5t - 4
Options:
t = 3
t = -1
t = 2
Answer:
t=3
Step-by-step explanation:
Heres why i think t=3
Replace the T in 3t+2
3x3+2
9+2=11
11=5t-4
Now Replace the t again by 3
5x3-4
15-4
11
11=11
T=3
Answer:
t = 3
Step-by-step explanation:
3t + 2 = 5t - 4
2 + 4 = 5t - 3t
6 = 2t
6/2 = 2/2t
t = 3
if this helps you, please mark brainliest!
Which equation is perpendicular
Answer:
option A
Step-by-step explanation:
[tex]y - 9 = \frac{2}{3} (x + 7)\\\\ y - 9= \frac{2}{3} x + \frac{14}{3}\\\\ y = \frac{2}{3} x + \frac{14}{3} + 9\\\\y = \frac{2}{3}x + \frac{14 +27}{3}\\\\y = \frac{2}{3}x + \frac{41}{3}\\\\[/tex]
Therefore, slope of the given line is
[tex]m_ 1 = \ \frac{2}{3}[/tex]
Find the slope of the new line
The product of slope of lines perpendicular to each other = - 1
That is ,
[tex]m_ 1 \times m_2 = - 1\\\\\frac{2}{3} \times m_ 2 = - 1\\\\m_ 2 = - \frac{3}{2}[/tex]
Find the equation of the line.
[tex]Let \the \ given \ points \ be \ ( x_ 2 , y _ 2 ) = ( 2 , 3 ) \\\\(y- y_2) = m_2 (x - x_ 2)\\\\( y - 3 ) = - \frac{3}{2}(x - 2)\\\\y = -\frac{3}{2}x + \frac{3 \times 2}{2} + 3\\\\y = - \frac{3}{2} x +3+3\\\\y = - \frac{3}{2} x +6\\\\[/tex]
which one of the following is product of(-3n)and(4mn-5n)
Form a ribbon length of 25 1/2 how many pieces can be cut in length of 3/4
Answẻ: 34
25 ½ :3/4 = 34
Answer:
Below.
Step-by-step explanation:
25 1/2 = 51/2
We divide this by 3/4 :
51/2 / 3/4
= 51/2 * 4/3
= 17*2
= 34
So we can cut 34 pieces of length 3/4.
What is the probability that if you combined your mnms, you would choose the following colors in order: Red, green, orange, yellow
Answer:
Step-by-step explanation:
1/1044
6/30 x 5/29 x 3/28 x 7/27 = 1/1044
find the value of a²+b
if...
a=-2 and b=5
Answer:
9
Step-by-step explanation:
a²+b
Substituting values,
=> (-2)^2+5
=> 4 + 5
=> 9
Answer:
9
Step-by-step explanation:
a² + bWhere we have :- a = -2 & b = 5
plug the values
= ( -2)² + 5= 4+ 5= 9Help ASAP will give the Brainliest answer
The degree of the expression 4x^5y^m z is 10. What is the value of m?
A2
B 4
C5
D 10
donna has 40 ounces of an alloy containing 65% iron. How many ounces of a second alloy that is 42% iron should be mixed with the first alloy to get a new alloy this is 50% iron
40 oz of a 65% iron alloy contains 40 × 0.65 = 26 oz of iron.
x oz of a 42% alloy contains 0.42x oz of iron.
To end up with an alloy of 50% iron, Donna needs to use x oz of the 42% alloy such that
(26 + 0.42x) / (40 + x) = 0.50
Solve for x :
26 + 0.42x = 0.50 (40 + x)
26 + 0.42x = 20 + 0.50x
6 = 0.08x
x = 75
what connects the exterior angle at C with the sum of the angles at A and B
Answer:
∠ C = ∠ A + ∠ B
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, so
C = A + B
PLEASE HELP! Find code (answer)
Answer:
so this is what I got (i could be wrong)-- H=8 G=21 F=24 E=2
Step-by-step explanation:
3(7+10) = G + 30
21 + 30 = G+30 (mutilpy-3 times 7 and 10)
minus 30 from both sides
21=G
5(3 + H) = 15 + 45
15 + 5H = 15 + 45 (multipy- 5 times 3 and H)
minus 15 from both sides
5H = 45
divde both sides by 5
H=8
For E all you have to do is list out all the multiples that makeup 22 and 30 and you should find that 2 is the answer
Can anyone help me with this question pls ! I would appreciate it !!
-
A great white shark swims 56 feet below sea level and is 97ft from the sail boat
What is the ANGLE OF DEPRESSION from the sail boat to the shark ?? ( round the the nearest WHOLE degree )
Answer:
35
Step-by-step explanation:
We use trignometry here
Assuming that the angle created between the surface of the sea and the 56feet below line is 90 degrees.
So we use the sin rule
sin90/97 = sin x/56
multiply 56 to the other side
56*sin90/97 = sin x
sin90=1
56/97 = sin x
x= sin^-1 (56/97)
x= 35.3
Round and you get 35
find the value of x.
Answer:
x = 83 degree
Step-by-step explanation:
x + 43 = 126 (sum of two interior opposite angle is equal to the exterior angle formed)
x = 126 - 43
x = 83 degree
Answer:
83 degrees
Step-by-step explanation:
To find this you first find the angle opposite to 126. To do this you subtract 126 from 180 as 180 degrees is a straight line, and we are looking for that missing angle.
This equals 54 degrees.
Now, 54 + 43 equals 97.
Because all interior angles of a triangle always equal 180, you can find that last angle by subtracting 97 from 180. This leaves you with 83 degrees.
Three Bell ringing constituency in intervals of 30,36 and 45 minutes respectively. At what time will they ring together again if they ring simultaneously at 8:00 a.M.
Answer:
The bells will ring simultaneously at 11.00 a.m
Step-by-step explanation:
Firstly, what we have to do here is to get the lowest common multiple the three numbers
The numbers are the given minutes
These are 30,36 and 45 minutes
The lowest common multiple of these three is 180 minutes
Now, we convert this to hours
60 minutes = 1 hour
180 minutes = x hours
x * 60 = 180 * 1
x = 180/60
x = 3 hours
If we added this to 8 am, we have 8 + 3 = 11 a.m
c с
5 km
12 km
What is the length of the hypotenuse?
kilometers
Answer:
13km
Step-by-step explanation:
Answer:
c=13km
Step-by-step explanation:
13 (by pythagorean triples)
or you could use the pythagorean theorem to find c:
5^2+12^2=c^2
25+144=c^2
c^2=169
c=13
Please help simplify the expression
Answer:
6+3v
Step-by-step explanation:
(2+v) *3
Distribute
2*3 + v*3
6+3v
Find The Area please help me
The area of a wall that needs to be papered is 84sqft. The wallpaper that needs to be papered is 18in wide and 33ft long. Rolls of solid color wallpaper will be used, so patterns do not have to match up.
Answer:
The answer is below
Step-by-step explanation:
The area of the wall is 84 ft².
The width of the wallpaper is 18 in.
1 ft. = 12 in
Hence; 18 in = 18 in * 1 ft. per 12 in = 1.5 ft
The length of the wallpaper is 33 ft.
Therefore, the area of the wallpaper = length * width = 1.5 ft. * 33 ft. = 49.5 ft². This means that each roll of wallpaper has an area of 49.5 ft²
Therefore, the minimum amount of rolls of wallpaper needed = area of wall / area of wallpaper
Amount of wallpaper = 84 ft² / 49.5 ft² = 1.7 rolls
Still trying to understand this help
4 hamburgers cost $10.00 Fries cost $2 each. How much does ONE hamburger with fries cost?
A $14.10
B $12.00
C $4.50
D $3.50
Answer:
4.50
Step-by-step explanation:
divide 10 by 4. this equals 2.5, add the 2 dollars for fries and your answer is 4.5 dollars
Convert 10m in cm.
♡
Answer:
1000 cm
Step-by-step explanation:
Recall that 100 cm = 1 m.
This results in the conversion factor 100cm
-------------
1 m
Then 10 m times the conversion factor shown above yields 1000 cm
what are some fears when caring for your younger children?
can someone answer rq please
Answer:
That they can mess up the whole house
Step-by-step explanation:
That's all I got, sorry if it's not very helpful.
I need help I don’t get it and it’s hard can someone help me
Answer:
choice 4
Step-by-step explanation:
It's not that hard if you understand once you get past the fancy words
degree= largest exponent
so if something has a degree of 3 we know that the highest exponent is 3
Coeficcent= thing multipllying x
in this case it's 4 which means the number we are looking for is 4x³
Onlyanswer choice 4 meets these criteria
Answer:
The answer is (4) [tex]2x+x^{2} +4x^{3}[/tex].
Step-by-step explanation:
A leading coefficient is the coefficient of the term of highest degree in a given polynomial.
A degree of a polynomial is the largest exponent on one of its variables (for a single variable), or the largest sum of exponents on variables in a single term (for multiple variables).
The answer can be found when the polynomial is rearranged into standard form, and the standard form of the polynomial will look like [tex]4x^{3}+x^{2} +2x[/tex]. A polynomial is in standard form when the term with the highest degree is placed first, followed by the term which has the next highest degree, and so on.
Once the polynomial is in standard form, the leading coefficient is 4 and has a degree of 3. Thus, causing (4) [tex]2x+x^{2} +4x^{3}[/tex] to be the answer.