Answer:
14 - 4x = 26
-14 -14
-4x = 12
Divide by -4 on both sides
x = -3
x + 18/4 = 5
x4 x4
18 + x = 20
-18 -18
X = 2
20x - 2 = 8
+2 +2
20x = 10
Divide by 20 on both sides
X = 0.5
1 + 33x = 12
-1 -1
33x = 11
Divide by 33 on both sides
x = 0.3
You buy a gallon of milk that costs $3.50. The milk is discounted for 10% off. You also have to pay tax of 6.25% on the discounted price. What is the final cost?
Answer: ($3.50- 10% = 3.4)
( 3.4 + 6.25% = $3.46 or 3.4625 )
Step-by-step explanation:
The final cost of milk is $ 3.36875
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
price of galloon of milk = $3.50
Discount = 10%
tax = 6.25%
Now, price after discount
=3.5 x 0.10
= 0.35
and, after tax
=3.5 x 0. 0625
= 0.21875
Hence, final cost of milk = 3.5 -0.35 + 0.21875= $ 3.36875
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5,880,000,000,000 miles is equivalent to 1 light year. What is this number represented in scientific notation?
5.88×1010
5.88×1012
58.8×1011
5.88×10-12
Answer:
5.88 x 1012
Step-by-step explanation:
To write each of these numbers in decimal notation, you move the decimal point the same number of places as the exponent. If the exponent is positive, move the decimal point to the right. If the exponent is negative, move the decimal point to the left. If you start at the decimal of 5.88 and move it 12 spaces to the right, then you get 5,880,000,000,000 miles.
The number represented in scientific notation is 5.88×1013.
What is scientific notation?It is the way of writing a large number between 1 to 10 with a power of 10.
We have,
5,880,000,000,000 miles is equivalent to 1 light year.
We can convert this number to scientific notation by moving the decimal point 13 places to the left
(because there are 13 zeros in 5,880,000,000,000) and multiplying by 10 raised to the 13th power:
So,
= 5,880,000,000,000
= 5.88 × 10¹³
Therefore,
The number represented in scientific notation is 5.88×1013.
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need help asap!! giving brainliest!!
Answer:
45
Step-by-step explanation:
75-30=45
If RQS=30 and RQS+SQT=RQT, which is 75, then you subtract RQS (30) from RQT (75).
Given that mDE = 49° and mFG = 12°, find mFE.
Answer:
mFE = 119°Explanation:
mGB = 90°
mGB = mBD
∴ mGD = 180°
⇒ mFE = 180 - (mDE + mFG)
mFE = 180 - (49 + 12)
mFE = 180 - 61
mFE = 119°
Answer:
119°
Step-by-step explanation:
[tex] In\: \odot A, [/tex] GD is diameter.
[tex] \therefore m\widehat{GFD} = 180\degree [/tex]
[tex] \because m\widehat {FG} +m\widehat {DE} = m\widehat {FE} \widehat{GFD} [/tex]
[tex] \therefore m\widehat {FG} +m\widehat {DE} + m\widehat {FE} = 180\degree [/tex]
[tex] \therefore 49\degree +12\degree + m\widehat {FE} = 180\degree [/tex]
[tex] \therefore 61\degree + m\widehat {FE} = 180\degree [/tex]
[tex] \therefore m\widehat {FE} = 180\degree - 61\degree [/tex]
[tex] \therefore m\widehat {FE} = 119\degree [/tex]
A conservationist is tracking the number of a rare type of tree in a forest as it recovers from a fire.
During the first 4 years after the fire, she records 2, 6, 18, and 54 trees. If this trend continues, which
expression can be used to find the number of trees after n years?
Answer:
The expression is [tex]T(n) = 2*(3)^n[/tex]
Step-by-step explanation:
Geometric sequence:
In a geometric sequence, the quotient between consecutive terms is always the same.
The general rule of an geometric sequence is given by:
[tex]T(n) = T(0)(q)^n[/tex]
In which T(0) is the initial amount and q is the quotient.
During the first 4 years after the fire, she records 2, 6, 18, and 54 trees.
First term is 2, so [tex]T(0) = 2[/tex].
Quotient is [tex]q = \frac{54}{18} = \frac{18}{6} = \frac{6}{2} = 3[/tex]
So
[tex]T(n) = T(0)(q)^n[/tex]
[tex]T(n) = 2*(3)^n[/tex]
The expression is [tex]T(n) = 2*(3)^n[/tex]
What is the distance, in units, between the two points?
Answer:
Use the Distance Formula! It's super simple. Btw your answer is 2i√7
Step-by-step explanation:
If you look at the second image you can see all the work plus steps to solve it yourself next time!
Please mark brainliest!
The distance between the two points will be 10 units.
What is coordinate geometry?A coordinate plane is a 2D plane created by the junction of the x-axis and y-axis, two perpendicular lines. A coordinate system in geometry is a way to use one or more integers or coordinates to determine the positions of the points.
Given points are (1,3) and (5,6). The distance between the points will be calculated as below:-
D = √ [ ( y₂ - y₁ )² + ( x₂ - x₁ )² ]
Substituting the given values, we get:
D = √((3 - (-3))² + (-4 - 4)²)
D = √(6² + (-8)²)
D = √(36 + 64)
D = √(100)
D = 10
Therefore, the distance between the two points (-3, 4) and (3, -4) is 10 units.
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what graph represents the solution of 3t + 1 ≤ 5?
matthew made slightly larger blanket that was 8 Ft long. Its area is 64 sq ft what is its perimeter?
Answer:
32 ft
Step-by-step explanation:
Given data
Length= 8ft
Area= 64 f^2
Let us find the width
Area= Length*Width
64= 8* Width
Width= 64/8
Width= 8ft
Hence the perimeter= 2L+2W
P= 2*8+2*8
P= 16+16
P= 32 ft
2 and 2 over 5 plus 3 and 1 over 10
Answer:
2, 2/5 + 3, 1/10
2/5 + 3 = 3 2/5
Step-by-step explanation:
1/3 bigger than 5/9?
Answer:
No 1/3 is not greater than 5/9.
Step-by-step explanation:
Pls I’m begging my soul
Answer:
2.
3p+15−8+11p
=3p+15+−8+11p
Combine Like Terms:
=3p+15+−8+11p
=(3p+11p)+(15+−8)
=14p+7
Answer:
=14p+7
3.
Let's simplify step-by-step.
14p+15−8
=14p+15+−8
Combine Like Terms:
=14p+15+−8
=(14p)+(15+−8)
=14p+7
Answer:
=14p+7
4. Factor 14p+7
14p+7
=7(2p+1)
Answer:
7(2p+1)
Ali and mo share a sum of money in the ratio ali : mo = 9 : 7 ali receives 600 more than mo calculate how much each receives
Step-by-step explanation:
Given :-
Ali and mo share a sum of money in the ratio ali : mo = 9 : 7 .Ali receives 600 more than mo .And we need to find out how much each receives .Let us take that
Mo received x .Ali will get x + 600.According to the Question :-
[tex]\implies \dfrac{9}{7}=\dfrac{x+600}{x}\\\\\implies 9x = 7x + 4200 \\\\\implies 2x = 4200 \\\\\implies x = 2100 [/tex]
Therefore :-
Ali = x+600 = 2700Mo = x = 2100Answer:
ali:mo=937.5 and 262.5
A circle with a center at (2,-3) passes through the point (-1,-8). Write the equation of the circle.
Answer: (x - 2)^2 + (y + 3)^2 = 34
Step-by-step explanation:
The basic equation for a circle is
(x - a)^2 + (y - b)^2 = r^2 where (a, b) is the centre of the circle
Using Pythagoras we can find r^2
r^2 = (2 - -1)^2 + (-3 - -8)^2
= 3^2 + 5^2
= 34
So the circle is (x - 2)^2 + (y - -3)^2 = 34
The Equation of Circle is (x -2)² + ( y + 3)² = 34.
What is Equation of Circle?The standard equation of a circle is given by: (x-h)² + (y-k)² = r². Where (h,k) is the coordinates of center of the circle and r is the radius.
We know the standard form of Equation of Circle
(x - a)² + (y - b)² = r²
where (a, b) is the Centre of the circle
Also, we have a circle with a center at (2,-3) passes through the point (-1,-8).
Using Pythagoras theorem
r² = (2 - -1)² + (-3 - -8)²
= 3² + 5²
= 34
Thus, the Equation of Circle is (x -2)² + ( y + 3)² = 34.
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what is the slope of a line perpendicular to line 6x + 3y = 15
Step-by-step explanation:
Given line is 6x+3y=15
Slope of the given line (m)=-x/y
=-6/3
=-2
let slope of the line perpendicular to the given line be m'.
Condition of perpendicularity,
m×m'=-1
-2×m'=-1
m'=-1/-2
m'=1/2
The point (5, 4) lies on the line y = x
Is it correct?
Answer:
No
Step-by-step explanation:
To check if the point fits into the line, we can substitute the x and y coordinates from the point (5, 4):
y = x
4 = 5
This statement(4 = 5) is not true, therefore, the point (5, 4) does not lie on the line y = x
Since the coordinates (5, 4) are not the same on both axis, hence the coordinates do not lie on the line y = x
What are coordinate points?Coordinate points are points written in the form (x, y) where x and y are values on the x and y axis respectively
Given the coordinate (5, 4), we are to determine if it lies on the line y =x.
For a coordinate to lie on the line y = x, the coordinate x and y axis must be equal.
Since the coordinate (5, 4) are not the same on both axis, hence the coordinates do not lie on the line y = x
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Name the property used :fast please
a) -17 ×1 = -17
b) (-5) + 6 = 6 + (-5)
Answer:
a) identity property of multiplication
b) commutative property in addition
H=(...-2,-10,1,2,...3what type of set is H
A : empty set
B: finite set
C: infinity set
D: universal set
Answer: Universal set
Step-by-step explanation:
A universal set is usually represented by U and it is set that has all the elements of a related sets.
For example, if there are two sets which are X and Y. Let's say X = {1,2,3} and Y = {1,a,b,c}, therefore, the universal set will be U = {1,2,3,a,b,c}.
In the above scenario, H(...-2,-10,1,2,...3) is a Universal set.
What is 23.826 correct to two decimal places
Answer:
23.83
Step-by-step explanation:
If the number next to it is above 5 then you round it up.
So the 2 becomes a 3 because the 6 to the right of it is above 5.
Hope this helps
Brainliest would be appreciated
HELP ASAP! THANKS!
Kade is gathering box tops for his school. Last year he was able to collect 312 box tops. Out of 312 box tops, 24 were already expired. He collected 441 box tops this year. How many boxtops will be expired this year if Kade can estimate the number of box tops that will expire this year using the ratio from last year? Round to the nearest whole number.
The number of box tops expired this year is 34.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given that, Last year he was able to collect 312 box tops. Out of 312 box tops, 24 were already expired.
So, the ratio is 312:24
39:3
13:1
He collected 441 box tops this year.
Here, the ratio is 441/13 =34
Therefore, the number of box tops expired this year is 34.
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The fish population is decreasing at a rate of 3% per year. In 2002 there were about 2100 fish. Find the fish population in 2010. Round to the nearest whole number
Answer:
Population of fish in 2010 = 1,646 fish (Approx.)
Step-by-step explanation:
Given:
Population of fish in 2002 = 2100 fish
Decrease rate = 3% per year
Find:
Population of fish in 2010
Computation:
Number of year = 2010 - 2002
Number of year = 8 year
A = P[1+r]ⁿ
Population of fish in 2010 = Population of fish in 2002[1+(-3%)]ⁿ
Population of fish in 2010 = 2100[1-0.03]⁸
Population of fish in 2010 = 2100[0.97]⁸
Population of fish in 2010 = 2100[0.7837]
Population of fish in 2010 = 1645.77
Population of fish in 2010 = 1,646 fish (Approx.)
i’m bad at geometry help
Answer:
sohcahtoa
Step-by-step explanation:
A room 9.5 m long and 6 m wide is surrounded by a verandah 1.25 m wide. Calculate the cost of
cementing the floor of this verandah at 28 per sq. metre.
ans-₹1260
pls give me the explanation how will the ans come...pls fst
Answer:
Step-by-step explanation:
Area of room = 6×9.5=57m2
Area of room including verandah = 12×8.5=102m2
So area of verandah = 102−57=45m2
So cost of cementing the floor of this verandah = 45×80=3600rupees
Find the surface area of this shape
PLZ HELP, AM NEEDING TO TURN THIS IN TODAY!!
Answer:
16.64
Step-by-step explanation:
SA=H*B*0.5*4
SA=3.16*2*0.5*4
SA=12.64
AND THE BASE SURFER IS 2*2=4
SO 12.64+4=16.64
Quadrilateral WXYZ has vertices at the points W(-3,2), X(-1,3), Y(0,1), and Z(1,0). Find the slope of side xy.
Answer:
The slope of the side xy is -2
Step-by-step explanation:
To find the slope of the side xy, we use the slope formula
we have the formula as;
m = (y2-y1)/(x2-x1)
(x1,y1) = (-1,3)
(x2,y2) = (0,1)
m = (1-3)/(0 + 1) = -2/1 = -2
A cone of day has a radius of 6 cm and a height of 20 cm. What is its volume?
Help ASAP !! ❤️
Answer:
[tex] \frac{1}{3} \times \pi \times {r }^{2} \times h \\ \frac{1}{3} \times 3.14 \times 36 \times 20 \\ \\ = 753.6 {cm}^{3} [/tex]
either you can write it in terms of π
Answer:
ok so this is the solution go to search and look up the question you posted and it will give you the answer
THIS IS WHAT I found HOPE THIS HELPED
Step-by-step explanation:
Solution
753.98224cm³- think this is the answer check your answer choices to see if you have this choice 753.98224cm³
if not let me know 753.98224cm³
Se arrastra un bloque de 18 kg a través de una superficie con una fuerza de 300 N en donde el coeficiente de fricción de dicha superficie es de 0.6 . Determine la aceleración resultante en m/s2 que lleva el bloque aproximando el resultado a las décimas.
Answer:
[tex]10.9\ \text{m/s}^2[/tex]
Step-by-step explanation:
m = Masa del bloque = 18 kg
F = Fuerza en el bloque = 300 N
[tex]\mu[/tex] = Coeficiente de fricción = 0.6
El equilibrio de fuerzas del sistema viene dado por
[tex]F-f=ma\\\Rightarrow 300-0.6\times 18\times 9.81=18a\\\Rightarrow a=\dfrac{300-0.6\times 18\times 9.81}{18}\\\Rightarrow a=10.9\ \text{m/s}^2[/tex]
La aceleración del bloque es [tex]10.9\ \text{m/s}^2[/tex].
Given: BD ≅ DE, CD ≅ DF
Prove: BC ≅ EF
answer:
statements
1. BD ≅ DE
2. CD ≅ DF
3. ∠BDC ≅ ∠EDF
4. ▲BDC = ▲EDF
5. BC ≅ EF
reasons
1. given
2. given
3. definition of vertical angles
4. SAS
5. CPCTC
step-by-step explanation:
vertical angles are equalSAS means side-angle-side — two triangles are congruent when they meet the "requirements" for SASCPCTC means corresponding parts of congruent triangles are congruent — when two triangles are congruent, their corresponding parts are also congruentwhat type of function is shown in the table below?
Answer:
polynomial
the table shows x^2 = y
Answer:
I would say this is a polynomial function since there is no relation in the increasing y-values
Hope this helps!
Which point is on the graph of the following function rule: y-7-5x
A)(3,22)
B) (-3, 22)
c) (1,-13)
D) (1,13)
Simplify the expression below.
(x^-2)^-12
A.
x^-24
B.
x^-14
C.
x^14
D.
x^24
Answer:
D. x^24
Step-by-step explanation:
If it is in the parenthesis you multiply.
-2*-12= 24
Two negatives equals a positive.