Answer:
Coffees cost $2 each and bagels cost $4 each
Step-by-step explanation:
Let
Coffee=c
Bagels= b
2 coffees and 5 bagels for which he paid $24
2c + 5b= 24 (1)
he returned to buy 3 coffees and 4 bagels for
$22
3c + 4b = 22 (2)
2c + 5b= 24 (1)
3c + 4b = 22 (2)
Multiply (1) by 3 and (2) by 2
6c + 15b = 72 (3)
6c + 8b = 44 (4)
Subtract (4) from (3)
15b - 8b = 72 - 44
7b = 28
Divide both sides by 7
b= 28 / 7
= 4
b= $4
Substitute b=4 into (1)
2c + 5b= 24
2c + 5(4) = 24
2c + 20 = 24
2c = 24 - 20
2c = 4
Divide both sides by 2
c= 4 / 2
c= $2
Therefore,
Coffees cost $2 each and bagels cost $4 each
*DIFFICULT QUESTION PLEASE PLEASE ANSWER* An ice cream machine offers three flavors: vanilla, chocolate, and strawberry. Each flavor can be served as a milkshake, in a cone, or in a cup. What is the probability of a customer choosing either a strawberry milkshake or cone? a.) 60% b.) 40% c.) 12% d.) 20%
Answer:
c.) 20%
Step-by-step explanation:
•1/3 chnace of picking Strawberry flavor
•2/3 chance of picking a milkshake or cone serving
(1/3)*(2/3)=2/9=0.222...(approx.)=0.20=20%
Edit for more clarification:
If you have a situation where multiple outcomes are favorable ("or" statements) then you add the odds together. The customer here wouldn't have minded a milkshake or a cone, so we add their odds together to get 2/3.
If you have a situation where a specific combination of outcomes is favorable ("and" statements) then we multiply the odds. The customer would be getting a flavor and a type of serving, so we multiply the odds of each combination together.
(Note that this is technically a simplified version of the general formulas/equations for probabilities so if you go look them up on the internet they might include some other ideas.)
Answer:C
Step-by-step explanation:
quiz says it was right
A 2000 kilogram sports car accelerates at a rate of 30 meters per second squared. The velocity of the car is v= at, where a us acceleration in meters per second squared, and t is time in seconds. The Kinetic energy of the car is me=1/2mv^2
Answer: KE= 900,000t^2
Step-by-step explanation:
Charles measured three pieces of string.The strings measured 7.68 inches,3.9 inches,and 2.2 inches.What is the difference in length between the longest string and the shortest string
Answer:
5.48
Step-by-step explanation:
Given length of three strings:
[tex]\text{Length of first string}, L_1=7.68\ inches\\\text{Length of second string}, L_2=3.9\ inches\\\text{Length of third string}, L_3=2.2\ inches[/tex]
To find:
The difference in length between the longest and the shortest string?
Solution:
First of all, let us compare the given three decimal numbers.
We check the number before decimal first of all.
We can see that the numbers are 7, 3, and 2.
7 being the largest [tex]L_1[/tex] is the longest string.
2 being the smallest [tex]L_3[/tex] is the shortest string.
So, the difference is:
[tex]L_1-L_3=7.68-2.2\\\Rightarrow \bold{L_1-L_3=5.48 }[/tex]
So, the answer is 5.48.
There are 12 inches in 1 foot and 5,280 feet in 1 mile. Elena ran 2 ½ miles.
The front of a box is a square with an area of 175 square units. What would be the best represents S, the length of the edge of the front of the box in units? Round your answer to the nearest tenth.
Answer:
13.2
Step-by-step explanation:
√175 ≈ 13.2 . . . units
The area of a square is the square of the edge length. Hence, the edge length is the square root of the area.
Help plz the Question is on the attached file
Answer:
9 eazy
Step-by-step explanation:
Answer:
B.9
Step-by-step explanation:
3^4=81
3^2=9
81/9=9
-6(1 + 2v) – 7(v + 1) = -13
A full 500L tank of water is being drained at a rate of 5L per minute into an empty tank. How long will it take for the tank to have the same amount of water? Please help and thank you very much!!!!
Answer:
100 minuets aka 1 hour and 40 minuets
Step-by-step explanation:
It would be 100 because 500÷5=100
3(y+3)+7(2y-8)-(y-1)=0
Answer:
We have this equation:
[tex]3(y+3)+7(2y-8)-(y-1)=0[/tex]
First, we do the parenthesis:
[tex]3y+9+14y-56-(y-1)=0\\[/tex]
When there is a minus (-) in front of a parenthesis, all signs change inside it:
[tex]3y+9+14y-56-y+1)=0\\[/tex]
Now we operate:
[tex]16y-46=0[/tex]
We add 46 on both sides:
[tex]16y - 46 + 46 = 0 +46[/tex]
[tex]16y = 46[/tex]
And divide 16 on both sides:
[tex]\frac{16y}{16}=\frac{46}{16}[/tex]
[tex]\bol{x = \frac{46}{16}}[/tex] = [tex]\frac{23}{8}[/tex]
Answer:
Step-by-step explanation:
3(y+3)+7(2y-8)-(y-1)=0
3y + 9 + 14y - 56 - y + 1 = 0
16y - 46 = 0
16y - 46 + 46 = 0 + 46
16y = 46
16y/16 = 46/16
y = 23/8
Water boils at different temperatures at different elevations. The boiling temperature of water is 212 degrees * F sea level (0 feet ) but drops about 1.72 degrees * F for every 1,000 feet of elevation. Write a formula for the boiling point at a given elevation. Then solve the formula for the elevation when the boiling point for water is 190 degrees F.
Answer:
The elevation when the boiling point of water is [tex]190[/tex] °[tex]F[/tex] is 12790.70 feet
Step-by-step explanation:
Let every 1,000 feet of elevation be [tex]x[/tex]. Hence, we can write
[tex]T = 212[/tex] [tex]- 1.72x[/tex]
Where [tex]T[/tex] is the boiling temperature of water at different elevations
Now, to the determine the elevation when the boiling point of water is [tex]190[/tex] °[tex]F[/tex].
We will determine [tex]x[/tex] by putting [tex]T = 190[/tex] °[tex]F[/tex].
Hence,
[tex]T = 212[/tex] [tex]- 1.72x[/tex]
[tex]190[/tex] [tex]= 212[/tex] [tex]- 1.72x[/tex]
[tex]190 - 212[/tex] [tex]= - 1.72x[/tex]
[tex]- 22[/tex] [tex]= - 1.72x[/tex]
[tex]22 = 1.72x\\x = \frac{22}{1.72} \\x = 12.79070[/tex]
Since [tex]x[/tex] represents every 1,000 feet of elevation, then the elevation when the boiling point of water is [tex]190[/tex] °[tex]F[/tex]
[tex]12.79070[/tex] × [tex]1000\\[/tex] [tex]= 12790.70[/tex] feet
Hence, the elevation when the boiling point of water is [tex]190[/tex] °[tex]F[/tex] is 12790.70 feet
solve the simultaneous equation 3x-2y=7 7x+2y=13
Answer: x= 2, y= -1/2
Step-by-step explanation:
The value of x is 2 and y is -1/2
equations are 3x-2y=7 --1
7x+2y=13 --2
lets consider 3x-2y=7 as equation 1,
consider 7x+2y=13 as equation 2
by putting both the equations :-
3x-2y=7
7x+2y=13
we get 10x=20
x=20/10
x=2
Now by putting the value of x in equation 1;
3(2)-2y=7
6-2y=7
-2y=1
y=-1/2
What is a simultaneous equation?Simultaneous equations are two or more algebraic equations that share variables e.g. x and y. They are called simultaneous equations because the equations are solved at the same time. Each of these equations on its own could have infinite possible solutions.
What is meant by algebraic equation?algebraic equation, a statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root.
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All of the following fractions are proper fractions, except A.11/12 B.7/5 C.1/6 D.8/15
answer:
A.7/5 is the correct answer because numerator is more than denominator.
thank me plz
Answer:
the answer is A
Step-by-step explanation:
Find the highest common factor (HCF) of 84 and 120
Answer:
GCF-12
Step-by-step explanation:
Find the prime factorization of 84
84 = 2 × 2 × 3 × 7
Find the prime factorization of 120
120 = 2 × 2 × 2 × 3 × 5
To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 2 × 2 × 3
GCF = 12
Answer: The GCF is 12
Step-by-step explanation:
84=2*2*3*7
120=2*2*2*3*5
So, the GCF is 2*2*3=12
85+(-96)=? 86+(-38)=? 22+(-41)=?
Answer:
1) 85+(-96)=-11
2) 86+(-38)=48
3) 22+(-41)=-19
Step-by-step explanation:
1)
Here you are adding a negative to a positive. The if you were to take the absolute value of the negative number it would be greater than that of the positive.
Think about it like 96-85=11, but it was flipped so negative 11.
-11
2)
86+(-38) is the same as 86-38
48
3)
Here you are also adding a negative to a positive. The if you were to take the absolute value of the negative number it would be greater than that of the positive.
Think about it like 41-22=19, but it was flipped so negative 19.
-19
Hope this is helpful :-)
Brandon bought 21 chicken wings for $39.90. How much would it cost for 15 wings?
Answer:
$28.50
Step-by-step explanation:
21 chicken wings= $39.90
1 chicken wing= 39.90÷21= $1.90
15 chicken wings= 15×1.90= $28.50
2 feet to 40 inches (ratios)
[tex]\boxed{3:5}[/tex]
We need to first change the measurement of 2 feet to inches, and then find the most simplified version of the resulting ratio.
2 feet = 24 inches (1 foot = 12 inches)
Ratio: 24:40
Simplify ratio:
24/8 = 3
40/8 = 5
Ratio: 3:5
Therefore, the simplified ratio is 3:5 inches.
I need help On these 8 questions that are blank
Answer:
X = 5
Step-by-step explanation:
3x + 12 + 9x = 72
okay hopefully i can explain so when your doing this combine like terms so
3x + 9x = 12x
12x + 12 = 72
then you would subtract both sides by 12
+12 = subtract x+12=2
- 12 = add x-12=2
there just flipped so in this case i would subtract 12
12x + ( 12-12) = ( 72-12 )
so 12-12 = 0 and 72-12 is equal to 60
12x = 60
the divide on both sides l but leave the x alone so its just 60 divided by 12 wich is 5
so X = 5
hope this helps with ur homework a little btw go back and redo ur other awnsers with this new concept hope it helps
For number 1 the second part I really don’t understand
Answer:
hundred thousands
Step-by-step explanation:
You would move it to the left one place, so it would be the hundred thousands place.
Answer: The answer is hundred thousands place.
Step-by-step explanation: The question is wanting you to name the space the 8 is in. So 10's, 100's, 1000's and so on. But in this case an 8 in the hundred thousand's place has 10 times more value then an 8 in the ten thousand's place.
¿Un camión de carga lleva 32 costales de maíz de 20.5 Kg. Cada uno y 19 con un peso de 48.75 Kg. Cada uno. ¿Cuántos kilogramos de maíz lleva el camión?
Answer:
1,582.25 kilogramos
Step-by-step explanation:
Para determinar los kilogramos de maíz que lleva el camión, se debe multiplicar el peso de los dos tipos de bultos que lleva por la cantidad de cada uno y sumar estos valores para obtener la respuesta:
(20.5*32)+(48.75*19)=656+926.25=1,582.25
De acuerdo a esto, el camión lleva 1,582.25 kilogramos de maíz.
Properties of Exponents Drag and Drop
Answer:
Step-by-step explanation:
1). [tex]a^{3}\times a^5=a^8[/tex]
2). [tex](a^3)^3[/tex] = [tex]a^{9}[/tex]
3). [tex]\frac{a^{10}}{a^3}=a^{10-3}=a^7[/tex]
4). [tex]\frac{a^2}{a^7}=\frac{1}{a^{7-2}}=\frac{1}{a^5}[/tex]
5). [tex]\frac{a^5\times a^2}{a^7}=\frac{a^{5+2}}{a^7}=1[/tex]
6). [tex]\frac{16a^5b^3}{8a^2b}=(\frac{16\times 5}{8})(\frac{a^5}{a^2})(\frac{b^3}{b})[/tex]
[tex]=\frac{80}{8}(a^{5-2})(b^{3-1})[/tex]
= 10a³b²
7). [tex]\frac{2a^3b^3}{2b^2}=(\frac{2}{2})(a^3)(\frac{b^3}{b^2})[/tex]
= a³b
8). [tex](\frac{a^{-8}}{b^{11}})^{-2}=(\frac{b^{11}}{a^{-8}})^2[/tex]
[tex]=(b^{11}a^8)^2[/tex]
= [tex]a^{16}b^{22}[/tex]
9). [tex]\frac{(2a^3)(a^4)^2}{8a^{11}}=(\frac{2}{8})(\frac{1}{a^{11-3}})(a^4)^2[/tex]
[tex]=\frac{1}{4}(\frac{a^8}{a^8})[/tex]
[tex]=\frac{1}{4}[/tex]
10). [tex]\frac{5a^7b^2}{15a^{10}b^{-3}}=(\frac{5}{15})(\frac{a^7}{a^{10}})(b^{2+3})[/tex]
[tex]=\frac{1}{3}(\frac{b^5}{a^3} )[/tex]
[tex]=\frac{b^5}{3a^2}[/tex]
11). 3a⁰ = 3(1) = 3
12). (a²b)⁴ = (a²)⁴(b)⁴
= a⁸b⁴
Question (Multiple Choice Wor (07.01) Which of the values in the set {3,4,5,6) is a solution to the equation 4x + 2 = 22? 3 4 5 6
Answer:
4x+2=22
4x+2-2=22-2
4x=20
4x/4=20/4
x=5
is 0.35 a rational or irrational number
Answer:
I think its rational
Step-by-step explanation:
Answer: 0.35 is rational! :D Hopefully this will help others as well!
Step-by-step explanation:
Someone help me!!!! To solve this :):):):) My brain is not functioning. Please Help as soon as can thank you
Answer:
The first one is a linear function with the slope of 3 with no shift. the second is a vertical line on the 2 of the x axis. the third is a horizontal line on the -3 of the y axis.
If r = 10 units and h = 5 units, then what is the volume of the cylinder?
Answer:
Volume of a cylinder=1/2πr^2h.
1/2×3.142×10^2×5.
1/2×3.142×100×5.
1/2×1571
=785.5
Answer:
About 1570.8
Step-by-step explanation:
Start by looking at the equation for solving a cylinder, which is V = π x r² x h. Since r = radius (5) and h = height (10), you add those numbers into the equation. Now you have to solve V = π x 5² x 10, which will get you your repeating decimal of 1570.79633...which then can be rounded your answer of 1570.8.
ASAP ASAP ASAP PLEASEEEEEEEE
Answer:
Rational number
Step-by-step explanation:
Rational is the only one that repeat.
Write 10 × 10 × 10 with an exponent. Explain how you decided which exponent to write.
10 x 10x 10 = Sinceit is used as a multiplied factor times, the exponent is
Write an equation in point-slope form for the line with the given information 1.slope=1/5;(2,6) 2.slope=0;(3,-7) 3.(-2,2)&(2,-2) are on the line. 4.(1,1)&(-5,3) are on the line
Answer:31
Step-by-step explanation:
Find two consecutive integers(with the least sum) whose sum is at least 107
Answer:
53 and 54
Step-by-step explanation:
x + (x+1) = 107
2x+1 = 107
2x = 107
x = 53
x+1 = 54
a. where does the parentheses go in 8+9÷3×6-5 to make a value of 11
b. where does the parentheses go in 5+3-8÷4-2 to make a total of 4
Answer:
8+9÷3×(6-5) 5+3-8÷4-2Step-by-step explanation:
[tex]8+9\div3\times6-5\\= 8+9\div \:3\times \left(6-5\right)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(6-5\right)\::\quad 1\\=8+9\div \:3\times \:1\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:9\div \:3\times \:1\::\quad 3\\=8+3\\\\= 11[/tex]
[tex]5+3-8\div \:4-2\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:8\div \:4\::\quad 2\\=5+3-2-2\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:5+3-2-2\::\quad 4\\=4[/tex]
[tex]\left(5+3\right)-8\div \:4-2\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(5+3\right)\::\quad 8\\=8-8\div \:4-2\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:8\div \:4\::\quad 2\\=8-2-2\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:8-2-2\::\quad 4\\=4[/tex]
A(0,a) is equidistant from P(3,-3) and Q(-2,2). Find a.
Answer:
a = - 1
Step-by-step explanation:
Given the points are equidistant from A then AP = AQ
Calculate the distance using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = A(0, a) and (x₂, y₂ ) = P(3, - 3)
AP = [tex]\sqrt{3-0)^2+(-3-a)^2}[/tex] = [tex]\sqrt{3^2+(-3-a)^2}[/tex] = [tex]\sqrt{9+(-3-a)^2}[/tex]
Repeat with (x₁, y₁ ) = A(0, a) and (x₂, y₂ ) = Q(- 2, 2)
AQ = [tex]\sqrt{(-2-0)^2+(2-a)^2}[/tex] = [tex]\sqrt{(-2)^2+(2-a)^2}[/tex] = [tex]\sqrt{4+(2-a)^2}[/tex]
Equating AP and AQ
[tex]\sqrt{9+(-3-a)^2}[/tex] = [tex]\sqrt{4+(2-a)^2}[/tex] ( square both sides )
9 + (- 3 - a)² = 4 + (2 - a )² ← expand parenthesis on both sides
9 + 9 + 6a + a² = 4 + 4 - 4a + a² ( subtract a² - 4a from both sides )
18 + 10a = 8 ( subtract 18 from both sides )
10a = - 10 ( divide both sides by 10 )
a = - 1
The value of a is -1 if A(0,a) is equidistant from P(3,-3) and Q(-2,2) the answer is a = -1.
What is an ordered double?It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).
[tex]\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|[/tex]
It is given that:
A(0,a) is equidistant from P(3,-3) and Q(-2,2).
It is required to find the value of a:
Using the distance formula:
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
AP = AQ
[tex]\rm \sqrt{(3-0)^2+(-3-a)^2} = \sqrt{(-2-0)^2+(2-a)^2}[/tex]
After simplification:
9 + (3 + a)² = 4 + (2 - a)²
9 + 9 + 6a + a² = 4 + 4 - 4a + a²
18 + 10a = 8
10a = - 10
a = - 1
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division.
Thus, the value of a is -1 if A(0,a) is equidistant from P(3,-3) and Q(-2,2) the answer is a = -1
Learn more about the order double here:
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