Answer:
68:76.5
Step-by-step explanation:
create the ratio 68/x=8/9, then simplify the side you can so get 68/x=.8888... then multiply both sides by x to get rid of the fraction, 68=.8888...x. now divide both sides by .8888... to get x by itself, 76.5=x
if you have any questions, leave them int eh comments and i will try to answer them, if this helped, pls give brainliest
hii i’ll give brainliest please help thanks :)
Answer:
a
Step-by-step explanation:
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 congruent5,880,000,000,000 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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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 diameter of a circle is 8 feet. What is the length of a 45° arc?
Answer:
3.14 ft
Step-by-step explanation:
45/360 × 3.14 × 8
= 1/8 × 3.14 × 8 = 3.14 ft
Laurie is trying to stay within 10 feet of her current diving depth of -30 feet (with regard to sea level) so that the light
is still good but she can be close to the sea life during her scuba dive. Which two equations can be used to find the
minimum and maximum depths Laurie wants to stay between?
-30 - x = 10 and -30 - x = -10
• -30 + x = 10 and -30 + x = -10
O x + 10 = 30 and x + 10 = -30
O x - 10 = 30 and x - 10 = -3
Answer:
[tex] \boxed{-30\:– \: x \:= \: 10 \: \: and \: -30 - x = -10} [/tex]
The equations can be used to find the minimum and maximum depths are (a) [tex]-30 - x = 10[/tex] and [tex]-30 - x = -10[/tex]
The current diving depth (d) is given as:
[tex]d = -30ft[/tex]
The position (p) she tries to stay is given as:
[tex]p = 10ft[/tex]
Represent the minimum and the maximum distances with x.
So, the distances are calculated using:
[tex]d - x = p[/tex] and [tex]d - x = -p[/tex]
Substitute values for d and p
[tex]-30 - x = 10[/tex] and [tex]-30 - x = -10[/tex]
Hence, the equations can be used to find the minimum and maximum depths are (a) [tex]-30 - x = 10[/tex] and [tex]-30 - x = -10[/tex]
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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)
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].
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:
The table shows the heights of students in a group.
Student Height (in inches)
A 45
B 48
C 49
D 40
E 53
What is the mean height of the students in the group?
A 47 inches
B 49 inches
C 51 inches
D 53 inches
plzzz help
Answer:
A 47 inches
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
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
Which could be the area of the base of the triangular prism?
[Not drawn to scale)
6 ft
10 ft
12 ft
20 ft
Answer:
20 ft squared
Step-by-step explanation:
The base is the bottom and I multiply 5ft and 4ft and you get 20ft squared
A student needs to select 3 books from 3 different mathematics, 3 different physics and 1 history books. What is the probability one of them is mathematics and other two are either physics or history books
Answer:
Probability that one of them is mathematics and other two are either physics or history books = 0.51
Step-by-step explanation:
Given - A student needs to select 3 books from 3 different mathematics, 3 different physics and 1 history books.
To find - What is the probability one of them is mathematics and other two are either physics or history books ?
Solution -
Given that,
A student needs to select 3 books from 3 different mathematics, 3 different physics and 1 history books.
So,
Total number of books = 3 + 3 + 1 = 7
The student has to select 3 books
So, Total number of ways = [tex]^{7} C_{3}[/tex] = 35
So,
Probability that one of them is mathematics and other two are either physics or history books is -
= [tex]\frac{^{3} C_{1}. ^{4} C_{2} }{^{7} C_{3}}[/tex]
= [tex]\frac{(3)(6)}{35}[/tex]
= [tex]\frac{18}{35}[/tex]
= 0.51
⇒Probability that one of them is mathematics and other two are either physics or history books = 0.51
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).
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
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
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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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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What is the answer plz ?
Answer:
Hello! answer: 22
Step-by-step explanation:
10 + 2 + 2 × 5 = 22 HOPE THAT HELPS!
Answer:
28
Step-by-step explanation:
The T-Shirts are 5.
The Socks are 2.
The Ties are 10.
The last image shows 1 tie, 3 socks twice and a t-shirt.
10 + 3 + 3 · 5 = 28
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.)
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
Lillian has b buttons. She gives away 72 buttons. Write an expression that shows the number of buttons Lillian has left.
Answer:
b-72
Step-by-step explanation:
an expression does not have an answer. she has b amount of buttons and gives away 72.
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.
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
1/3 bigger than 5/9?
Answer:
No 1/3 is not greater than 5/9.
Step-by-step explanation:
Clues:
1. It is a three-digit whole number.
2. It is divisible by 2.
3. It is divisible by 4.
4. It is divisible by 5.
5. It is divisible by 3.
6. It is divisible by 6.
7. It is divisible by 9.
8. It is less than 300.
9. It is greater than 150.
10. It is a multiple of 90
Answer:
180
Step-by-step explanation:
hehe
2 90
3 60
4 45
5 36
6 30
9 20
90 = 2
<3
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]
Circle G contains the diameter BC
Find the measure of x and y.
Answer:
x = 24°, y = 53°
Step-by-step explanation:
An inscribed angle is half the measure of its intercepted arc.
arc EC = 2 × ∠ EDC = 2 × 78° = 156°
x = arc BE = 180° - arc EC = 180° - 156° = 24°
------------------------------------------------------------------
arc CD = 2 × CED = 2 × 41° = 82°
arc BD = 180° - arc CD = 180° - 82° = 98° , then
∠ BCD = [tex]\frac{1}{2}[/tex] × 98° = 49°
Then
y + 78° + 49° = 180° (sum of angles in triangle )
y + 127° = 180° ( subtract 127° from both sides )
y = 53°
Describe how the graphs of y = |x| and y = |x+2| are related.
A. The two graphs have the same shape but the second graph is shifted 2 units right.
B. The two graphs have the same shape but the second graph is shifted 2 units up.
C. The two graphs have the same shape but the second graph is shifted 2 units left.
D. The two graphs have the same shape but the second graph is shifted 2 units down.
Answer: C
Step-by-step explanation:
Carmen wants to join a gym. Gym A costs $26.76 plus an additional $4 for each visit. Gym B has no initial fee but costs $12.92 for each visit. After how many visits will both plans cost the same?
Answer:
After 3 visits both plans will cost the same.
Step-by-step explanation:
Gym A costs $26.76 plus an additional $4 for each visit.
Gym B has no initial fee but costs $12.92 for each visist.
The cost for gym A can be written as
C= $26.76 + 4(x) where x is the number of visits to the gym A
The cost for gym B can be written as
C= $12.92 (x) where x is the number of visits to the gym B
Both costs will be equal
12.92x= 26.76 +4x
12.92x-4x= 26.76
8.92x= 26.76
x= 26.76/8.92
x= 3
after 3 visits both plans will cost the same.
Check
12.92x= 26.76 +4x
12.92*3= 26.76 +12
38.76= 38.76