Answer:
54
$3 dollar coupons were given
Step-by-step explanation:
We can represent this question as a system of equations
Let
x = number of $1 dollar coupons
y = number of $3 dollar coupons
z = number of $5 dollar coupons
Twice as many $1 coupons were given out as $3 coupons,
x = 2*y
3 times as many $3 coupons were given as $5 coupons.
y = 3*z
The total value of all the coupons given out was $360
x*$1 + y*$3 + z*$5 = $ 360
The system results
x - 2y + 0 = 0 (1)
0 + y - 3z = 0 (2)
x + 3*y +5*z = $ 360 (3)
We substitute equation (2) and (1) into (3)
(2y) + 3*y + 5*(y/3) = $ 360
20*y/3 = 360
y = 54
To determine the number of $3 coupons given out by the bakery, we solved the equation 5x + 3(3x) + 1(2(3x)) = $360, where x represents the number of $5 coupons. We found that x = 18, and since there are three times as many $3 coupons as $5 coupons, the bakery gave out 54 $3 coupons.
The question involves solving a system of linear equations to determine how many $3 coupons were given out by the bakery. Let's define the variables first:
x = number of $5 coupons3x = number of $3 coupons2(3x) = number of $1 couponsBased on the given information, we can set up the following equations:
5x + 3(3x) + 1(2(3x)) = $360Now let's solve the equation:
5x + 9x + 6x = $36020x = $360x = 18Once we have x, we know that the number of $3 coupons is 3 times x, so:
3x = 3(18) = 54
Therefore, 54 $3 coupons were given out by the bakery.
Which gases are released into the atmosphere when volcanoes erupt?
Answer:
The volcanoes are formed adjacent to a convergent plate boundary, in which the denser plate subducts under a less denser plate. These subducting plates undergoes partial melting at greater depths and the magma is forced to rise up towards the over-riding plate, resulting in the formation of the volcano and chains of volcanoes.
These volcanoes when undergoes eruptions, releases various types of gases. They are such as the Carbon dioxide (CO₂), Water vapor (H₂O), Sulfur dioxide (SO₂), Hydrogen sulfide (H₂S) and Carbon monoxide (CO).
These gases are harmful to the atmosphere as it creases the green house effect thereby increasing the earth's global temperature.
I need to know what wx is
Sorry if this is wrong mate, but I got it as -203! Hope I helped!
A point located at (3, -2) is translated right 3 units and down 4 units. What are the coordinates of the image? (0, -2) (6, -6) (6, 2) (0, -6)
Answer:
(6,-6)
Step-by-step explanation:
Because if you move to the right 3 units you add 3 to the x-axis number or in this case 3, so 3+3=6, and if you move down 4 units its the same as subtracting 4 from the y-axis number or in this case -2 so, -2-4=-6. Which gives you (6,-6).
Answer:
(6, -6)
Step-by-step explanation:
Line 1 passes through the points (-2,-7) and (1,2). Line 2 passes through the points (5,-2) and (8,-2). Find the slope of each line. Which line has the greater slope?
Answer:
The slopes are 3 and 0. The points (-2,-7) and (1,2) has a greater slope.
Step-by-step explanation:
To find the slope, substitute the points into the slope formula.
[tex]m = \frac{y_2-y_1}{x_2-x_1} =\frac{2--7}{1--2} =\frac{9}{3} =3[/tex]
[tex]m = \frac{y_2-y_1}{x_2-x_1} =\frac{-2--2}{8-5} =\frac{0}{3} =0[/tex]
The points (-2,-7) and (1,2) has a greater slope.
What is the volume of this right rectangular prism? Enter your answer in the box. ft³ 3.5 is the H, 2 is the L and 7 is the W
Answer: 49 feet to the third power
Step-by-step explanation:
1. 3.5 x 2= 7
2. 7 x 7= 49
Answer: [tex]49\ ft^3[/tex]
Step-by-step explanation:
The volume of rectangular prism is given by :-
[tex]\text{Volume}=l*w*h[/tex], hwre l is the length , w is width and h is height of prism.
The given dimensions of rectangular prism :
Length : 2 ft
Width : 7 ft.
Height : 3.5 ft.
Now, the volume of rectangular prism is given by :-
[tex]\text{Volume}=7\times2\times3.5\\\\\Rightarrow\text{Volume}=49\ ft^3[/tex]
Hence, the volume of this right rectangular prism = [tex]49\ ft^3[/tex]
avery prepares 2 equal size oranges for the bats at the zoo. one dish has 3/8 of an orange. Another dish has 2/8 of an orange. which dish has more orange? show your work.
Answer:
3/8
Step-by-step explanation:
it is greater than 2/8
Write the product using exponents.
π⋅π⋅π⋅x⋅x⋅x⋅x
Answer:
π^3x^4.
Step-by-step explanation:
Required product is [tex] {(\pi)}^{3}\times {x}^{4} [/tex]
What is exponents ?
Meaning of an exponent is the number of times a number is multiplied by itself.
An exponent is defined as a method of expressing large numbers in terms of powers. That is, the exponent refers to how many times a number is multiplied by itself. For example, 6 is multiplied by itself 4 times, i.e. 6 x 6 x 6 x 6. This can be written as 64. Here, 4 is the exponent and 6 is the base. It can be read by raising 6 to 4 degrees.
By some examples we can understand this concept.
Example -1,
[tex]2 \times 2 \times 2 = {2}^{3} [/tex]
Example -2,
[tex]5 \times 5 \times 5 \times 5 = {5}^{4} [/tex]
Example-3,
[tex]8 \times 8 \times 8 \times 6 \times 6 = {8}^{3} \times {6}^{2} [/tex]
We want to find what is the product of π⋅π⋅π⋅x⋅x⋅x⋅x using exponents.
Given, [tex]\pi.\pi.\pi.x.x.x.x[/tex]
Here,
[tex]\pi.\pi.\pi.x.x.x.x \\ = {\pi}^{3} \times {x}^{4} [/tex]
Therefore,required product is [tex] {(\pi)}^{3}\times {x}^{4} [/tex]
Exponent related one more question:
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what does markup mean in this question?
Answer:
Step-by-step explanation:
Markup means the amount added to the cost price, so it means like adding to the cost. Ex: $18:00 + 15%
A markup is the amount added to the cost price to cover overhead and profit
Plz help me i need it
Answer: [tex]\bold{d)\quad f^{-1}(x)=\dfrac{e^x}{5}}[/tex]
Step-by-step explanation:
To find the inverse, swap the x's and y's and solve for y. Note: f(x) is y
[tex]y = ln(5x)\\\\\text{Swap the x's and y's:}\\x=ln(5y)\\\\\text{Apply e to both sides:}\\e^x=e^{ln(5y)}\\\\e^{ln}\ \text{cancels out:}\\e^x=5y\\\\\text{Divide both sides by 5:}\\\dfrac{e^x}{5}=y\\\\\large \boxed{f^{-1}(x)=\dfrac{e^x}{5}}[/tex]
80% of the days in April were sunny, how many days were sunny?
Answer:
24 days
Step-by-step explanation:
April = 30 days
100% = 1.0
80% = 0.8
If 1 x 30 = 30
then 0.8 x 30 = 24
Answer:
24
Step-by-step explanation:
0.8 x 30 = 24
80% = 0.8
April = 30 days
HOPE THIS HELPED!!!!! XD
Can I have brain? please
JUST LOOK AT Q4 I need this question ASAP?!?!?!?!?????!??!??
Answer:
A=78.23in²
Step-by-step explanation:
First we need to solve for the radius. The volume of a cylinder can be found using the formula:
[tex]V=\pi r^{2} h[/tex]
Now we have the variables:
V = 1177.5 in³
h = 15
r = ?
[tex]1177.5=\pi r^{2}15[/tex]
[tex]\dfrac{1177.5}{15}=\dfrac{\pi r^{2} }{15}[/tex]
[tex]78.5=\pi r^{2}[/tex]
[tex]\dfrac{78.5}{\pi }=\dfrac{\pi r^{2} }{\pi }[/tex]
[tex]r^{2}[/tex]≅24.99
[tex]\sqrt{r^{2} }[/tex]≅[tex]\sqrt{24.99}[/tex]
r≅4.99in
Now since we're looking for the area of the base, we can use the formula for the area of a circle which is:
[tex]A=\pi r^{2}[/tex]
[tex]A=\pi (4.99)^{2}[/tex]
A=78.23in²
The sum of eighty five and five times a number is equal to twenty. Find the number
Answer:
4.5
Step-by-step explanation:
20= 85+5÷x
85+5=90
20=90÷x
Divide 90 by 20 and you end up with 4.5.
What is the likelihood that a fair coin will land heads or tails?
which would it be?
0.5
1
0
0.25
Answer:
I believe it is 0.5
Step-by-step explanation:
If you flip a normal coin (called a “fair” coin in probability parlance), you normally have no way to predict whether it will come up heads or tails. Both outcomes are equally likely. There is one bit of uncertainty; the probability of a head, written p(h), is 0.5 and the probability of a tail (p(t)) is 0.5. The sum of the probabilities of all the possible outcomes adds up to 1.0, the number of bits of uncertainty we had about the outcome before the flip. Since exactly one of the four outcomes has to happen, the sum of the probabilities for the four possibilities has to be 1.0. To relate this to information theory, this is like saying there is one bit of uncertainty about which of the four outcomes will happen before each pair of coin flips. And since each combination is equally likely, the probability of each outcome is 1/4 = 0.25. Assuming the coin is fair (has the same probability of heads and tails), the chance of guessing correctly is 50%, so you'd expect half the guesses to be correct and half to be wrong. So, if we ask the subject to guess heads or tails for each of 100 coin flips, we'd expect about 50 of the guesses to be correct. Suppose a new subject walks into the lab and manages to guess heads or tails correctly for 60 out of 100 tosses. Evidence of precognition, or perhaps the subject's possessing a telekinetic power which causes the coin to land with the guessed face up? Well,…no. In all likelihood, we've observed nothing more than good luck. The probability of 60 correct guesses out of 100 is about 2.8%, which means that if we do a large number of experiments flipping 100 coins, about every 35 experiments we can expect a score of 60 or better, purely due to chance.
Answer:
The correct answer option is 0.5.
Step-by-step explanation:
If we have a fair coin then it means that it has a 50 % chance of landing heads up and a 50% chance of landing tails up.
A fair coin is one which has two sides: head and tail.
Since their are two sides to each fair coin, so the probability of landing for each of the side should add up to 1 (which is the total probability).
Therefore, likelihood that a fair coin will land heads or tails is 0.5.
A city is building a fence around a rectangular playground. If the perimeter of the playground is 96 feet and the length of one side of the fence is 30 feet, what is the width of the playground?
Answer:
The answer is 18.
Step-by-step explanation:
Perimeter is P, length is L, and width is W. So, P is L plus L plus W plus W. If L is 30, then L plus L is 60. Do the P minus 60, which is 36. So, to find width, use that.
W plus W is the last part of P, and P minus 60 is 36. So, for one width, it is 36 divided by 2, which is our answer: 18.
Final answer:
To determine the width of the playground when the length of the fence is given as 30 feet and the perimeter is 96 feet, apply the formula for the perimeter of a rectangle and solve for the width, resulting in a width of 18 feet.
Explanation:
Given information:
Perimeter of the playground is 96 feet.
Length of one side of the fence is 30 feet.
To find: Width of the playground.
Step-by-step solution:
Let the length of the playground be L feet and the width be W feet.
Given, 2L + 2W = 96 (perimeter formula) and L = 30 (given)
Substitute L = 30 into the perimeter formula to find W: 2(30) + 2W = 96 => 60 + 2W = 96 => 2W = 36 => W = 18 feet.
Therefore, the width of the playground is 18 feet.
Just 8 angles :) I don’t know how to approach the angles one this question
M<1=25
M<2=55
M<3=65
M<4=25
M<5=35
M<6=65
M<7=55
M<8=35
Simplify the expression square root of 6 times the square root of 33 plus 7
Answer:
3√(22) + 7
Step-by-step explanation:
The way this is worded can be interpreted two different ways so just to cover the bases, I'll do both. I'm confident they are asking for way 1 though because it wants you to simplify the expression, not evaluate. Way 2 gives you a solution rather than an exact equation.
Number 1
√(6) x √(33) + 7
= √(6 x 33) + 7
= √(198) + 7
= √(9 x 22) + 7
= 3√(22) + 7
Number 2
√(6) x √(33 + 7)
= √(6) x √(40)
= √(6) x (4√(10))
= 4√(60)
= 8√(15)
The simplified expression for [tex]\sqrt{6} \times \sqrt{33} + 7[/tex] is [tex]3\sqrt{22} + 7[/tex]
To simplify square root of 6 times the square root of 33 plus 7 we need to first write it mathematically. We get:
[tex]\sqrt6 \times \sqrt{33}+7[/tex]
Using BODMAS, we first multiply the roots. This will give us:
[tex]\sqrt{6} \times \sqrt{33} + 7 = \sqrt{6 \times 33} +7[/tex]
Now we need to expand the digits in square by expressing them as a product of their prime factors so that common pairs can be taken out of the root. This can be done as follows:
[tex]\sqrt{6 \times 33} +7 = \sqrt{(3 \times 2)\times (3\times11)} +7[/tex]
We can see that there are two pairs of 3. Thus we extract 3 times 3 as it is a perfect square for 9 and we get:
[tex]3\sqrt{( 2\times 11)} +7 = 3\sqrt{2}+7[/tex]
Thus, the simplified expression for [tex]\sqrt{6} \times \sqrt{33} + 7[/tex] is [tex]3\sqrt{22} + 7[/tex]
Choose the graph which represents the solution to the inequality:
-x - 3 < 0
Answer:the answer is B
Step-by-step explanation:
The graph shows how the inequality was resolved: Option B is -X-3 >
What is inequality of a graph?The collection of dots that represents each inequality solution can be found on the graph of a two-variable inequality. The boundary line that separates the coordinate plane into two halves by a linear inequality represents the solutions to the inequality in one half.Inequality is the relationship between two expressions or values that are not equal to one another.Both mathematical phrases, equations and inequalities, are created by connecting two expressions. The equal sign (=) indicates that two expressions in an equation are deemed to be equal. The symbols >,,, or indicate that the two expressions in an inequality are not necessarily equal.To learn more about inequality refer to:
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Ann, Jim, and Miguel sent a total of 115
text messages during the weekend. Jim sent 10
more messages than Ann. Miguel sent 3
times as many messages as Ann. How many messages did they each send?
Ok I don't have time to do this i got to study for a history test so can some one simplify these real fast pls
5(2z-1)
(4-2k)8
(15-4a)5
6(n+1.2)
(n-8.2)5
And can u do these
6(n+4)=42. -6(x+8)=0. 3(-4+2r)=-24. 8(-7y-6)=-160
(2a+1.75)2=7.5 (2.3-6n) 1/5=3.14
Thx pals
1. 10z - 5
2. -16k + 32
3. -20a + 75
4. 6n + 7.2
5. 5n - 41
6. n = 3
7. x = -8
8. r = -2
9. y = 2
10. a = 1
11. n = -2.23333333 ( this is the only problem im unsure of answer )
The first four terms of a sequence are \text{3, -6, 12, -24}. Write an explicit formula for this sequence, where n is any term number and a\left(n\right) is the nth term
Answer:
see explanation
Step-by-step explanation:
The terms form a geometric sequence with n th term
[tex]a_{n}[/tex] = a [tex](r)^{n-1}[/tex]
where a is the first term and r the common ratio
r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{a_{3} }{a_{2} }[/tex] = ......
r = [tex]\frac{-6}{3}[/tex] = [tex]\frac{12}{-6}[/tex] = - 2 and a = 3, hence
[tex]a_{n}[/tex] = 3 [tex](-2)^{n-1}[/tex] ← explicit formula
The customary tip is 20% of the total bill. In the column labeled Tip, calculate the amount of tip each person should leave.
Names Item 1 Price Item 2 Price Item 3 Price Subtotal Tip Total Bill
Angelo Coke 2.00 Pizza 8.00 Cheese cake 10.00 20.00 3.00 23.00
luis Sprite 1.50 Pizza 8.00 Flan 5.00 14.50 5.00 19.50
Xavier Coke 2.00 Salad 10.00 Ice cream 7.00 19.00 3.00 22.00
Angel Coke 2.00 Cheese Sticks 5.00 Pie 10.00 17.00 2.00 19.00
Will give brainliest and all my points
Answer:
Angelo : 4
Luis : 2.9
Xavier : 3.8
Angel : 3.4
Step-by-step explanation:
As mentioned in the question, tip is 20% of the bill. Therefore, to calculate the tip each person should leave can be calculated by sum of all items and taking 20% of of the amount
1) Angelo = 2 + 8 + 10 = 20
total tip = 20% of 20 = 20/100 * 20 = 4
2) Luis = 1.50 + 8 + 5 = 14.5
total tip = 20% of 14.5 = 20/100 * 14.5 = 2.9
1) Xavier = 2 + 10 + 7 = 19
total tip = 20% of 19 = 20/100 * 19 = 3.8
1) Angel = 2 + 5 + 10 = 17
total tip = 20% of 17 = 20/100 * 17 = 3.4
Answer:
Angelo : 4
Luis : 2.9
Xavier : 3.8
Angel : 3.4
Which of the following are solution to the inequality below -4w - 2 < -38
Answer:
w > 9
Step-by-step explanation:
Solve the inequality by using inverse operations.
-4w - 2 < -38
-4w < -36
w > 9
Like solving equations, inequalities should be solved using inverse operations. However, unlike equations, when you divide or multiply by a negative the sign changes.
according to the graph of F(x), which of the statements below are true? check all that apply
Answer:
B, E and F
Step-by-step explanation:
This graph is a log which has an asymptote. This means the function does not cross it and does not have in its domain certain numbers. The asymptote is at -2. This means the domain is greater than -2.
The range is the y-values. With no restrictions here, the function includes all numbers.
This means B, E, and F are true.
Which solids have the same type of vertical cross sections through the base?
A. A rectangular prism and a cylinder
B. A rectangular prism and a cone
C. A cylinder and a cone
D. A cylinder and a pyramid
Option A. A rectangular prism and a cylinder is the correct option.
Explanation:
First option is true as the vertical cross sections of both rectangular prism and cylinder are rectangles.
Second option is false (The vertical cross section through the base of a rectangular prism is a rectangle)
Third option is false (The vertical cross section through the base of a cone is a triangle)
Fourth option is false (The vertical cross section through the base of a pyramid is a triangle)
A, prism and cylinder is correct.
The function f(x) is shown in this graph
Answer:
The correct statement is:
The slope of f(x) is same as the slope of g(x)Step-by-step explanation:
We see that the graph of the function f(x) is a line that passes through (0,2) and (1,-1)Hence, the equation of the function f(x) is calculated by a two-point formula as:
[tex]y-2=\dfrac{-1-2}{1-0}\times (x-0)\\\\y-2=\dfrac{-3}{1}\times x\\\\y-2=-3x\\\\y=-3x+2[/tex]
( On comparing the equation of f(x) with slope intercept form.
i.e. y=mx+c
where m is the slope and c is the y-intercept)
We get slope of f(x)= -3
and y-intercept= 2
The function g(x) is given by:[tex]g(x)=-3x-6[/tex]
Hence, slope of g(x) = -3
and y-intercept= -6
Hence, we get that the slope of f(x) and g(x) is same.
( i.e. -3)
HELP!!! if a hospital patient is given 50 milligrams of medicine, which leaves the bloodstream at 10% per hour, how many milligrams of medicine will remain in the system after 6 hours? Use the function A(t) = Iert.
12.39 mg
Answer:
I also got 27.44 mg.
Step-by-step explanation:
Use the function given to you:
A(t)=le^rt
l: Initial Amount (50)
r: Rate (-.1) (Negative because the medicine is exiting the bloodstream at 10% per hour
t: 6 (the specific time value you are evaluating the function at.
A(6)=50e^-.1(6)=27.44
Explicit formula for the sequence -3,-14,-25,-36
ANSWER
[tex]a_{n}=a_{n-1} - 11 \: \: ,a_1 = - 3[/tex]
EXPLANATION
The given sequence is
[tex]-3,-14,-25,-36,...[/tex]
The first term of the sequence is
[tex]a_1=-3[/tex]
The common difference is
[tex]d = - 14 - - 3[/tex]
[tex]d = - 11[/tex]
The recursive formula is
[tex]a_{n}=a_{n-1} - 11 \: \: ,a_1 = - 3[/tex]
Answer:
aₙ = aₙ₋₁ -11
Step-by-step explanation:
We have given the sequence:
-3,-14,-25,-36
We have to find the explicit formula.
The first term in this sequence is:
a₁ = -3
The common difference is:
a₂-a₁= -14-(-3) = -11
a₃-a₂ = -25-(-14) = -11
a₄-a₃ = -36-(-25)= -11
Common difference d = -11
The general formula is :
aₙ = aₙ₋₁ +d
Here d = -11 so,
aₙ = aₙ₋₁ -11 is the explicit formula.
The y-intercept of the line whose equation is 7x - 4y = 8 is
7/4
8
-2
is -8 a choice because im pretty sure it’s -8
Answer:
The y-intercept would be -2
a packer puts 50 vitamin capsules into a bottle. How many bottles are needed to pack 100 dozen capsules?
Odpowiedź
24
100. 12=1200
1200:50=24
Find the height of the given pyramid.
2.3m
4.5m
6m
7m
Answer:
The height is 7 m.
Step-by-step explanation:
Volume = 1/3 * area of the base * height, so
28 = 1/3 * 3 * 4 * h
4h = 28
h = 7.