Answer:
5 of 23 cents
10 of 32 cents
15 of 37 cents
In total that is 30 stamps.
Step-by-step explanation:
This is going to be long, so bear with me.
0.23x + 0.32y +0.37z = 9.90
Here we define our variables.
Because we know that there is twice as much 32 cent stamps compared to 23 cents, we know: y =2x
So we can change that in the equation.
0.23x + 0.32(2x) + 0.37z = 9.90
0.23x + 0.64x + 0.37z = 9.90
We also know that there are 5 more 37 cent stamps than 32 cents.
So we can change all instances of z to 2x+5
0.23x + 0.64x + 0.37z(2x+5) = 9.90
0.23x +0.64x +0.74x +1.85 =9.90
Algebra:
0.23x +0.64x +0.74x = 9.90 -1.85
1.61x = 8.05
x = 5
From here we can just substitute it out and we find our values.
x = 5
y = 5 * 2
z = (5*2) +5
How many 4-digit numbers can be formed using only the digits 9, 8 and 7?
Answer:
isnt it 0
Step-by-step explanation:
They only gave 3 digits
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
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
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
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
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:
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
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
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.
The Statue of Liberty weighs about 2.04 x 105 kg. The Washington Monument weighs about 9.07 x 107 kg. About how many more kilograms does the Washington Monument weigh than the Statue of Liberty?
Answer:
[tex]9.05 * 10^{7} kg[/tex]
Step-by-step explanation:
Given
[tex]Statue\ of\ Liberty\ =\ 2.04 * 10^5 kg[/tex]
[tex]Washington\ Monument\ =\ 9.07 * 10^7 kg[/tex]
To get the number of kilograms the Washington Monument weighs more than the Statue of Liberty, we simply calculate the difference;
Difference = Washington Monument - Statue of Liberty
[tex]Difference = \ 9.07 * 10^7 kg - \ 2.04 * 10^5 kg[/tex]
Expand [tex]10^7[/tex]
[tex]Difference = \ 9.07 * 10^{5+2} kg - \ 2.04 * 10^5 kg[/tex]
[tex]Difference = \ 9.07 * 10^{5} * 10^2 kg - \ 2.04 * 10^5 kg[/tex]
Take out the common factor in the above expression
[tex]Difference = 10^{5}\ (\ 9.07 * 10^2 kg - \ 2.04\ kg)[/tex]
[tex]10^2 = 100;[/tex] so we have
[tex]Difference = 10^{5}\ (\ 9.07 * 100 kg - \ 2.04\ kg)[/tex]
[tex]Difference = 10^{5}\ (\ 907 kg - \ 2.04\ kg)[/tex]
[tex]Difference = 10^{5}\ (904.96\ kg)[/tex]
Open bracket
[tex]Difference =904.96 * 10^{5} kg[/tex]
Write in standard form
[tex]Difference =9.0496 * 10^2 * 10^{5} kg[/tex]
[tex]Difference =9.0496 * 10^7 kg[/tex]
[tex]Difference =9.05 * 10^7 kg[/tex] (Approximated)
Hence, he Washington Monument weigh more than the Statue of Liberty by about [tex]9.05 * 10^{7} kg[/tex]
Answer:
it is d i just did the 4 quiestion assignment by the learning odessy
Step-by-step explanation:
Tom has 4 navy socks and 6 black socks in a drawer. One dark morning he randomly pulls if 2 socks. What is the probability that he will selects a pair of navy socks ?
Answer:
1/5
Step-by-step explanation:
total number of socks= 10
randomly selects two socks.
2/10=1/5 probability
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
2/3x + 2= 21/3 solve for x a. 0 b. 1/2 c -2 d. 2
Answer:
x = 7.5
Step-by-step explanation:
2/3x + 2= 21/3
Subtract 2 from each side
2/3x + 2-2= 21/3-2
2/3x = 21/3 - 6/3
2/3x =15/3
2/3x = 5
Multiply each side by 3/2 to isolate x
2/3x * 3/2 = 5 *3/2
x = 15/2
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
What is the biggest whole number smaller than the perimeter of any triangle with a side of length 5.6 and a side of length 19.7?
Answer:
50
Step-by-step explanation:
The perimeter of a Triangle is the sum of it's 3 sides.
We are given two sides here which is side length 5.6 and a side of length 19.7
Let's us represent the third side as x
Therefore
x + 19.7 + 5.6 = Perimeter of the triangle
We would have this equation
But it is important to know that every side of a triangle must be less than the sum of the other two sides, hence
x < 19.7 + 5.6
x < 25.3
Adding 25.3 to both sides to make the left side equal to the perimeter
perimeter = x+25.3 < 25.3 + 25.3 = 50.6
Therefore, 50.6 is the smallest whole number that is larger than the perimeter of the triangle in the question above.
Therefore, the biggest whole number smaller than the perimeter of the above triangle is 50
Answer:
39
Step-by-step explanation:
25.3<x>14.1
Because 5.6 +19.7=25.3
Because 19.7-5.6=14.1
And 25.3+14.1=39.4
WE NEED WHOLE NUMBER A LITTLE BIT SMALLER (cause thats the question)
S0, 39.4 turns into 39
y is directionally proportional to x
When y = 21, x = 5
Write an equation for y in terms of x
Answer:
y = 21/5x
Step-by-step explanation:
y is directly proportional to x
y = kx
Find k constant.
21 = 5k
21/5 = k
Plug k as 21/5.
y = 21/5x
Answer:
y=21/5x
Step-by-step explanation:
When y is 21, x is 5.
5(21/5)=21, so we have y=21/5x
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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A tank can be filled by one pump in 50 minutes and by another in 60 minutes. A third pump can drain the tank in 75 minutes. If all 3 pumps work simultaneously, how long will it take to fill the tank? (Answer in hours)
let's label each pump A, B, and C, just for convenience. A fills the tank by 1/50 every minute, B fills the tank by 1/60 every minute, and C drains it by 1/75 every minute. Now we can put them all into one function: t(1/50 + 1/60 - 1/75) = 1, where t = our time in minutes and 1 = the tank being full.
next, we solve for t: t = 300/7 minutes, or approximately 42.86 minutes.
Line m passes through the points (-4, 3) and (-4, 7). What is the slope of the line that is parallel to line m?
Answer:
4x
Step-by-step explanation:
When you have a parallel line, the slope of the line is the same. So the slope of (-4,3),(-4,7)=4 would be the same as for example 4x+5
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:
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 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
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%
In △ABC, AB = BC = 20 and DE ≈ 9.28. Approximate BD.
Answer:
BD = 5
Step-by-step explanation:
∠A = 60°
Since AB = 20 = BC, Then ∠B = 60° resulting in a equilateral triangle with ∠C = 60°. Then dividing ∠DAE into half gives 4 = angles of 15° yielding each secition of BC being equal to 20/4 = 5. Do i don't think DE ≈ 9.28 cannot occur.
The table shows how an elevator 500 feet above the ground is descending at a steady rate. A two column table with 5 rows. The first column, time in seconds (t), has the entries, 0, 5, 10, 15. The second column, Height in feet h(t), has the entries, 500, 475, 450, 425. Which equation represents the height, h(t), of the elevator in feet, as a function of t, the number of seconds during which it has been descending?
Answer:
h(t)=-5t+-500
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
i took the test
Two parallel lines are 7 units apart. If you
reflect a shape over both, how far apart will the
preimage and final image be?
Answer:
14 units
Step-by-step explanation:
We apply the Theorem of reflection over parallel lines.
Theorem: The composition of two reflections over parallel lines that are h units apart is the same as a translation of 2h units.
Given that the two parallel lines are 7 units apart
h=7 units
2h= 2 X 7 =14 units
Therefore, the preimage and the final image will be 14 units apart.
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:
There is a equilateral triangle with sides of 13 inches, how do I find the area of that triangle?
Answer:
73.18
Step-by-step explanation:
equilateral triangle means all sides are the same
A=(√3/4)a^2
A=(√3/4)*13^2
A=73.18 inches square
Answer:
73.18 square inches.
Step-by-step explanation:
To find the area of an equilateral triangle, we use a certain formula.
Where the side length is represented by s, the area is (sqrt(3))/4 * s^2.
Since s = 13, you will have (sqrt(3))/4 * 13^2 = 1.732050808/4 * 169 = 292.7165865/4 = 73.17914662. You can round that to 73.18.
So, the area of the triangle is 73.18 square inches.
Remember to use your units when presenting your answer, and hope this helps!
Find the missing side lengths. Leave your answers as radicals in simplest form.
10 POINTS!!! ANSWER PLZ
Answer:
D.
[tex]u =3[/tex]
[tex]v =\sqrt{3}[/tex]
Step-by-step explanation:
Given
The triangle in the diagram above
Required
Find the missing lengths, u and v
To find the missing lengths, we have to check the relationship between the missing lengths, the given length and the given angle;
From trigonometry;
[tex]sin\ \theta = \frac{Opp}{Hyp}[/tex]; Where Opp = Opposite and Hyp = Hypotenuse
From the attached diagram;
[tex]\theta = 30[/tex]
[tex]Opp = v[/tex]
[tex]Hyp = 2\sqrt{3}[/tex]
[tex]sin\ \theta = \frac{Opp}{Hyp}[/tex] becomes
[tex]sin\ 30 = \frac{v}{2\sqrt{3}}[/tex]
Multiply both sides by [tex]2\sqrt{3}[/tex]
[tex]2\sqrt{3} * sin\ 30 = \frac{v}{2\sqrt{3}} * 2\sqrt{3}[/tex]
[tex]2\sqrt{3} * sin\ 30 = v[/tex]
In radians, [tex]sin30 = \frac{1}{2}[/tex]
[tex]2\sqrt{3} * \frac{1}{2} = v[/tex]
[tex]\sqrt{3} = v[/tex]
[tex]v =\sqrt{3}[/tex]
Similarly, From trigonometry;
[tex]cos\ \theta = \frac{Adj}{Hyp}[/tex]; Where Adj = Adjacent
From the attached diagram;
[tex]\theta = 30[/tex]
[tex]Adj = u[/tex]
[tex]Hyp = 2\sqrt{3}[/tex]
[tex]cos\ \theta = \frac{Adj}{Hyp}[/tex] becomes
[tex]cos\ 30 = \frac{u}{2\sqrt{3}}[/tex]
Multiply both sides by [tex]2\sqrt{3}[/tex]
[tex]2\sqrt{3} * cos\ 30 = \frac{u}{2\sqrt{3}} * 2\sqrt{3}[/tex]
[tex]2\sqrt{3} * cos\ 30 = u[/tex]
In radians, [tex]cos30 = \frac{\sqrt{3}}{2}[/tex]
[tex]2\sqrt{3} * \frac{\sqrt{3}}{2} = u[/tex]
[tex]\sqrt{3} * \sqrt{3} = u[/tex]
[tex]3 = u[/tex]
[tex]u =3[/tex]