Answer:
0.4% = 0.40 or 0.4
Plz help me 2/3(6-9x)+15
Answer:
19-6x
Step-by-step explanation:
2/3(6-9x)+15
=4-6x+15
=19-6x
Answer:
19-6xSolution,
[tex] \frac{2}{3} (6 - 9x) + 15 \\ = \frac{2}{3} \times 6 - \frac{2}{3} \times 9x + 15 \\ = 4 - 6x + 15 \\ = 4 + 15 - 6x \\ = 19 - 6x[/tex]
Hope this helps...
Good luck on your assignment..
4 Assuming the triangle was made of a material of uniform thickness which of the centres would also be the
centre of gravity of the triangle? Support your choice.
Step-by-step explanation:
you can split triangle in two 90-:80 triangles
Which inequality will have a shaded area below the boundary line?
A y-x>5
B. 2x-3y< 3
C. 2x-3y
D. 7x+ 2y<2
E. 3x+4y> 12
Answer:
D. 2y < 2
Step-by-step explanation:
To find the equation with shaded area below the boundary line, all we need to do is to examine each inequality and find the one which gives
+y < ( a constant)
We can leave out the x term for this.
For example:
A. y>5 clearly it is shaded above the line (because of the > sign)
B. -3y <3 => 3y > -3 so again it is shaded above
C. -3y is not even an inequality
D. 2y < 2 clearly it is shaded BELOW
E. 4y >12 clearly it is shaded above
See also attached diagram. The answer is represented by the purple area. All the other areas are shaded above the boundary line.
Two prisms are similar with a scale factor of 1:4. Find the volume of the smaller prism given that the volume of the larger is 2400ft3.
The Volume of the smaller prism is 37.5 ft³.
What is a Prism?Prism is a three-dimensional structure that has identical polygon bases, and other faces are identical parallelograms.
The volume of the prism is determined by the formula
V = Bh
B is the base area and h is the height of the Prism.
The scale factor is given as 1/4, as the volume of the larger prism is given.
The volume of the larger prism is 2400 ft³
the side lengths will be multiplied by 1/4
Let the base area is for the larger prism the area for the smaller prism will be equal to
A = (1/16) a
The height of the larger prism is h.
Height of the smaller prism will be (1/4)h
The volume of the smaller prism = (1/16)*(1/4) Volume of the Larger Prism
The volume of the smaller prism = 2400 / (16*4)
The volume of the smaller prism = 37.5 ft³.
To know more about the Volume of Prism
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Add. Simplify (or reduce) your answer, if necessary 1/4 +2/7+1/2=
Hey there! :)
Answer:
29/28.
Step-by-step explanation:
Starting with:
[tex]\frac{1}{4} + \frac{2}{7} + \frac{1}{2} =[/tex]
Begin by finding a common denominator. A number that contains all of the denominators as a factor would be 28. Change each fraction to contain a denominator of 28:
[tex]\frac{7}{28} + \frac{8}{28} + \frac{14}{28} =[/tex]
Add the fractions:
[tex]\frac{7}{28} + \frac{8}{28} + \frac{14}{28} = \frac{29}{28}[/tex]
Therefore, the fractions sum up to 29/28.
Answer:
1/4 + 2/7 + 1/2
Find a number that 4,7, and 2 have in common
List the multiples o 4,7, and 2
4,8,12,15,20,24,28,32,36,40
7,14,21,28,35,42,49,56,63,70
2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40
4,7,and 2 all have 28 so 28 is the common denominator
1/4 = 1/4 x 7/7 = 7/28
you can multiply because 7/7 = 1 so you are just multiplying by 1
2/7 x 4/4 = 8/28
1/2 x 14/14= 14/28
7/28 + 8/28 + 14/28 = 29/28 or 1 1/28
Hope this helps
Step-by-step explanation:
Find the missing segment
Answer:
? = 9.
Step-by-step explanation:
According to the AA Theorem, the two triangles are similar.
[tex]\frac{30}{30 + 5} =\frac{54}{? + 54}[/tex]
30 (? + 54) = 54 * 35
30? + 1620 = 1890
3? + 162 = 189
3? = 27
? = 9
Hope this helps!
Calculate the area and the perimeter of the figure
Answer:
Area: 5 cm squared
Perimeter: 12 cm
Step-by-step explanation:
The area is Length times Width, and there is 5 different sqaures in the figure.Each sqaure has an area of 1 by 1, which is 1. 1 times 5 is 5. So the area is 5. You can get the perimeter by adding all the side lengths together, 2+3+2+1+1+1+1+1=12. The perimeter is 12. Hope this helps.
Will mark as Brainlist!
the pilot was scheduled to depart at 4:00 pm, but due to air traffic, her departure has been delayed by 16 minutes. Air traffic control approved a new flight plan that will allow her to arrive four times faster than she calculated in her original flight plan. Let x represent the time, in minutes, of her original flight. Create an equation that can be used to predict the number of minutes after 4:00 pm she will arrive at her destination.
y= 1/4x - 16
y = 4x − 16
y=1/4x + 16
y = 4x + 16
Answer:
y=1/4x + 16
Step-by-step explanation:
Answer:
cccccccccccccccccccccccccccc
C!
the tens digit exceeds the units digit by 3. If the units digit is r what is the value of the number ?The next even integer that is larger than 2n, if 2n is an even integer.
Answer:
a) we know that:
the tens digit exeeds the units digit by 3, then if we have two digits
ab.
and b, the digit for units is equal to r.
then a, the digit for tens, is equal to r + 3.
Then, if r = 4, we have that the digit for tens is r + 3 = 7
and the number is 74.
b) if n is an integer, then we know that 2*n is an even number.
Now, the next even number is always 2 units away, then the next even number to 2*n is:
2*n + 2 = 2*(n + 1)
The diagram shows a 5 cm x 5 cm x 5 cm cube.
Calculate the length of the diagonal AB.
Give your answer correct to 1 decimal place.
Answer:
8.7 cm
Step-by-step explanation:
The question is a 2-two-step Pythagoras theorem. (c^2 = a^2 + b^2)
Consider as such, If I were to draw a diagonal line along the base of the cube what is the length of the diagonal line. To find out that we use the theorem. We can substitute a for 5 and b for 5 as well. So
a^2 +b^2 = c^2
5^2 + 5^2 = c^2
25 + 25 = c^2
√50 = c
Then since the line side of the cube is on a 3d angle we need to do the same process again but now using the imaginary diagonal line that we just calculated and the height (5).
a^2 +b^2 = c^2
√50^2 + 5^2 = c^2
50 + 25 = c^2
√75 = c
c = 8.6602...
when rounded to 1 d.p.
c = 8.7
Line AB is 8.7 cm long.
58.30
The slope of the graph of the equation y2x-2 is 2. What is the y-intercept?
y-intercept =
Mark this and retum
Save and Exit
Next
Submit
Answer:
the slope is 2 and the y intercept is -2
Step-by-step explanation:
y=2x-2
This is in the form y = mx+b where m is the slope and b is the y intercept
the slope is 2 and the y intercept is -2
1. A population of 20 rabbits is released into a wildlife region. The population is growing at a rate of 60% per year. What is the population of rabbits after 8 years and what equation did you use? 2. The population of white rhinos in 2001 was 11,670. The population is declining by 9% each year. What is the population expected to be in the year 2021 and what equation did you use?
Answer:
I think it's 12
Step-by-step explanation:
i just multiplied 60 by 20%
What is the value of x?
12 units
15 units
20 units
25 units
Need work shown please
Answer:
15=x
Step-by-step explanation:
a^2 + b^2=c^2
=9^2 +12^2 =x^2
=81 +144=x^2
=/225 =/x^2
=15=x
Answer:
x = 12
Step-by-step explanation:
Use the right triangle altitude theorem.
16/x = x/9
x^2 = 16 * 9
x^2 = 144
x = 12
-402 + br – 11 = 0
Determine a possible value of b so that the quadratic has two complex solutions.
1)
12
2)
-14
3)
-16
4)
14
Answer:
2
Step-by-step explanation:
If the tangent value is 33*, the cotangent value to the hundredths degree is: 0.65 0.649 1.54 1.540
Answer:
1.54
Step-by-step explanation:
The cotangent value is referred to as the reciprocal or the opposite of a given tangent value. Cotangent is also referred to as it's short form called cot
Mathematically, Cotangent (cot) = 1/tan
In the above question, we are given a value where:
tan = 33°
Cotangent (cot) = 1/tan 33°
Cotangent (cot) = 1.5398649638
We are told to approximate to the nearest hundredth
= 1.54
The population of Peru is 10904 the population of Franklin is 25248. The population of Franklin is percent more than the population of Peru
Answer:
132%
Step-by-step explanation:
The population of Peru = 10904
The population of Franklin = 25248.
Difference = 25248-10904=14,344
Expressing as a percentage of the population of Peru
[tex]\dfrac{14344}{10904} X 100[/tex]
=132%
Therefore, the population of Franklin is 132% more than the population of Peru.
Find the value of the discriminant (D) and describe the roots for the quadratic equation shown below.
y= ax + bx + c
y= x + 3x-4
A. D= -7 and the roots are irrational.
B. D = 22 and the roots are irrational.
C. D= 25 and the roots are rational.
D. D=5 and the roots are rational.
Answer: C
Step-by-step explanation:
y = ax + bx + c is the general equation for quadratic function. While the discriminant D is
D = b^2 - 4ac
You are given the equation:
y = x^2 + 3x - 4
Where a = 1, b = 3 and c = -4
Substitutes all the parameters into the discriminant D formula
D = 3^2 - 4 × 1 × -4
D = 9 - ( - 16 )
Open the bracket
D = 9 + 16
D = 25
Therefore, D = 25 and the roots are rational
A bakery was about to sell fresh baguettes, and people formed a line outside to wait. While waiting for the bread to bake, every space between two people in the line was filled by a new person who had joined the line. More time passed, and again each space between the people waiting was filled with a new person who joined the line. Finally, 85 fresh baguettes were brought out and one baguette was sold to each person. How many people were standing in the original line?
Answer:
The number of people standing in the original line is 22 people
Step-by-step explanation:
The information given are;
The number of baguettes that was shared by the people on the line = 85
The number of baguettes each person received = 1 each
Therefore;
The number of people that were finally on the line = 85
Let the number of people in the original line = X
Then each space between two people in X was filled by 1 new person of the first set of people who joined the line
Therefore;
The number of the first set of people who joined the line = The number of spaces between two count of people in X
Which gives;
The number of people who joined the line = X - 1
The new total number of people on the line = X + X - 1 = 2·X - 1
As time passed, a second set of people joined the line such that each space between the people waiting was filled with a new person (from the second set) who joined the line
Therefore, the number of people in the second set = Number of people waiting - 1
Which gives;
The number of people in the second set = 2·X - 1 - 1 = 2·X - 2
The total number of people on the line becomes 2·X - 1 + 2·X - 2 = 4·X - 3
The 85 baguettes is then able to go round (each) among the total number of people on the line
Therefore;
The total number of people on the line = The number of baguettes sheared
4·X - 3 = 85
4·X = 85 + 3 = 88
X = 88/4 = 22
Therefore;
The number of people standing in the original line = 22.
GIVING BRANLIEST TO FIRST CORRECT ANSWER
Answer:
Step-by-step explanation:
y²+2by+b²-a²-6ad-9d²(y+b)²-(a²+2*3d*a+(3d)²)(y+b)²-(a+3d)²(y+b+a+3d)*(y+b-a-3d)Answer:
( y + b - a - 3d)(y + b + a + 3d).
Step-by-step explanation:
y^2 + 2by + b^2 - a^2 - 6ad - 9d^2
= y^2 + 2by + b^2 - (a^2 + 6ad + 9d^2)
= (y + b)^2 - (a + 3d)^2
This is the difference of 2 squares so we have
(y + b - (a + 3d))(y + b + (a + 3d))
= ( y + b - a - 3d)(y + b + a + 3d)
What is the distance between the points (7 , 35) and (7 , 21) in the coordinate plane? A. 7 units B. 56 units C. 28 units D. 14 units
Answer:
14 unitsOption D is the correct option.
Step-by-step explanation:
Let the points be A and B
A ( 7 , 35 ) -----> ( x1 , y1 )
B ( 7 , 21 ) -------> ( x2 , y2 )
Now, finding the distance between these two points:
[tex] \sqrt{(x2 - x1) ^{2} + {(y2 - y1)}^{2} } [/tex]
Plug the values
[tex] = \sqrt{(7 - 7) ^{2} + {(21 - 35)}^{2} } [/tex]
[tex] = \sqrt{ {0}^{2} + {( - 14)}^{2} } [/tex]
0 raised to any positive power equals 0
[tex] = \sqrt{0 + {( - 14)}^{2} } [/tex]
When adding or subtracting 0, the quantity doesn't change
[tex] = \sqrt{ {( - 14)}^{2} } [/tex]
Reduce the index of the radical and exponent with 2
[tex] = 14 \: units[/tex]
Hope this helps...
Best regards!
~ a music lover
In chemistry laboratory, Maria put a liquid solution of sodium chloride in
two flasks. She put 0.25 mL of the solution in one flask and 1.75 mL of
the solution in the other flask.
Find the total amount of the liquid sodium chloride solution using
significant digits.
Answer:
[tex]Total = 2.00mL[/tex]
Step-by-step explanation:
Given
Solution: NaCl
Flask 1: 0.25mL of NaCl
Flask 2: 1.75mL of Nacl
Required
Calculate the total amount of the solution
The total amount of the solution is calculated by adding the size of the contents in both flasks
i,e,
[tex]Total = Flask\ 1 + Flask\ 2[/tex]
[tex]Total = 0.25mL + 1.75mL[/tex]
[tex]Total = 2.00mL[/tex]
Answer:
yep it is 2.00
Step-by-step explanation:
What is the volume of a right triangular pyramid whose base is 5 meters on each side and whose altitude is 4 meters?
Answer: 10 for each side but in total is 20
Step-by-step explanation: u multiply 5 x 4 = 20 divided by 2 to get 10 meters and another is 4 divided by 2 is 2 x 5 is 10 meters times 2 is 20 total
Fill in the blanks please
Answer:
Step-by-step explanation:
MNOP is a parallelogram Given
PM // ON opposite sides of parallelogram are parallel
∠ NOM = ∠ONP Alternate angles theorem
MN // OP opposite sides of parallelogram are parallel
∠NOP =∠ MNO Alternate angles theorem
ON = ON common to both triangles ΔOMN & ΔONP
ΔOMN ≅ ΔONP ASA congruent
PM ≅ ON CPCT -Corresponding Part of Congruent triangle
A moth of a year is chosen at random what is the probability that the month starts with the letter j or the letter M? 5/24p
Answerr:
Step-by-step explanation:
Which equation can be used to solve for the measure of angle ABC? tan(x) = tan(x) = sin(x) = sin(x) =
Answer:
A. tan(x) = 2.4/10
Step-by-step explanation:
The question is incomplete and lacks the required diagram. Find the question and diagram attached below.
Which equation can be used to solve for the measure of angle ABC? tan(x) = 2.4/10 tan(x) =10/2.4 sin(x) =10/10.3 sin(x) =10.3/10
We will use the SOH CAH TOA identity to calculate the equation needed to solve for angle ABC.
In a right angled triangle, the side facing the acute angle ABC is the opposite, the longest side is the hypotenuse and the third side (base) is the adjacent.
From the diagram shown;
AB = hypotenuse = 10.3cm
AC = opposite = 2.4cm
BC = adjacent = 10cm
To get the angle x, we can use the SOH and TOA identity.
SOH means sin<ABC = opp/hyp
Sin(x) = AC/AB = 2.4/10.3
TOA ≈ Tan(x) = opp/adj
Tan(x) = 2.4/10
The equation that can be used to solve for the measure of angle ABC are therefore sin(x) = 2.4/10.3 OR tan(x) = 2.4/10
Based on the given option,
tan(x) = 2.4/10 is the only correct answer.
Answer:
in short its A.
Step-by-step explanation:
EDGE 2021
pls help me with number 10
Answer:
D
Step-by-step explanation:
Δ KLM is equilateral ( 3 congruent angles ), thus 3 sides are congruent
KM = LM = 5
Δ MJK is isosceles ( base angles are congruent ), thus
MJ = KM = 5 , substitute value
x + 1 = 5 ( subtract 1 from both sides )
x = 4 → D
x=4
Step-by-step explanation:
all sides are 5 on the bottom triangle and the top triangle has 2 sides that are equal and one equals 5. there for it becomes x +1=5. 4
A restaurant offers 6 choices of appetizer, 8 choices of a main meal, and 5 choices of dessert. A customer can choose to eat just one course, or two different courses, or all three courses. Assuming all choices are available, how many different possible meals does the restaurant offer?
Answer:
377 choices
Step-by-step explanation:
From the above question, we are told that
A restaurant offers 6 choices of appetizer, 8 choices of main meal and 5 choices of dessert. A customer can choose to eat just one course, or two different courses, or all three courses.
Let us represent each choice by :
A = Appetizer = 6
M = Main meal = 8
D = Dessert = 5
a) The combination of the 3 choices together
AMD=6 × 8 × 5=240
b) AM= Appetizer and Main meal
= 6 × 8 = 48
c) AD= Appetizer and Dessert
= 6 × 5 = 30
d) MD = Main meal × Dessert
= 8 × 5 = 40
e) A,M,D (each alone)=
Appetizer + Main meal + Dessert
= 6 + 8 + 5
= 19
Assuming all choices are available, how many different possible meals does the restaurant offer?
This is calculated as:
AMD + AM + AD + MD + A,M,D
240 + 48 + 30 + 40 + 19
= 377 choices
If you have a gerbil, then you are a pet owner. Question 7 options: If you are not a gerbil, then you are not a pet owner. True If you are not a pet owner, then you have a gerbil. False; if you are not a pet owner then you have no pets. If you do not have a gerbil, then you are not a pet owner. False; you could have a dog. If you are not a pet owner, then you do not have a gerbil. True
Step-by-step explanation:
If you are not a gerbil, then you are not a pet owner. False; if you are not a gerbil, you can be a human who owns pets.
If you are not a pet owner, then you have a gerbil. False; if you are not a pet owner then you have no pets.
If you do not have a gerbil, then you are not a pet owner. False; you could have a dog or a cat.
If you are not a pet owner, then you do not have a gerbil. True, since if you do not own any pets, you will not have any animals, so you will not have a gerbil.
Hope this helps!
Answer:
If you are not a pet owner, then you have a gerbil. False; if you are not a pet owner then you have no pets
Step-by-step explanation:
Marcus is saving up his money to buy a television that costs $395.50. Right now he has $85.00, and can save $29.00 each week. How many weeks will it take for Marcus to have enough money to buy the television?
Answer:
11 weeks
Step-by-step explanation:
He has 85 and can save 29 each week. This must be greater than the cost of the tv
85 + 29 w > 395.50
Subtract 85 from each side
85 -85 + 29 w > 395.50-85
29w >310.50
Divide by 29
29w/29 > 310.5/29
w >10.70689655
The number of weeks must be greater than 10.7 so rounding up
He must save for at least 11 weeks
Using the given points and line, determine the slope of the line. (-3, 0) and (2, 7) slope = - slope = - slope = slope =
Answer:
slope = [tex]\frac{7}{5}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (2, 7)
m = [tex]\frac{7-0}{2+3}[/tex] = [tex]\frac{7}{5}[/tex]
Answer:
7/5
Step-by-step explanation:
m=y2-y1/x2-x1
7-0=7
2-(-3)=5
7/5