The cost of one sandwich is $3.90
The cost of one deknk is $1.50
hopefully this is correct
The system of equations are
The cost of one sandwich x = $ 3.90
The cost of one drink y = $ 1.50
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the cost of one sandwich be x
Let the cost of one drink be y
Now , the equation will be
A customer ordered three sandwiches and two drinks for $14.70
So , 3x + 2y = 14.70 be equation (1)
And , Another customer bought two sandwiches and four drinks for $13.80
So , 2x + 4y = 13.80 be equation (2)
On simplifying the equations , we get
Multiply equation (1) by 2 , we get
6x + 8y = 29.4 be equation (3)
Subtracting equation (2) from equation (3) , we get
4x = 15.6
Divide by 4 on both sides of the equation , we get
x = $ 3.90
So , the cost of one sandwich is $ 3.90
And ,
Substituting the value of x in equation (1) , we get
3x + 2y = 14.70
3 ( 3.90 ) + 2y = 14.70
11.70 + 2y = 14.70
Subtracting 11.70 on both sides of the equation , we get
2y = 3
Divide by 2 on both sides of the equation , we get
y = $ 1.50
So , the cost of one drink is $ 1.50
Hence , the cost of one sandwich and one drink is $ 3.90 and $ 1.50 respectively
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can someone help me with these problems I don't get it very well
this is my answer but you need to check with your teacher
Answer:
25 & 26Complementary angles sum to 90°Angle:
90° - 47° = 43°Find x
2x -3 = 432x = 46x = 2327 & 28Vertical angles are congruentAngle
82°Find y
5y + 12 = 825y = 70y = 1429 & 30Adjacent angles forming a straight line are supplementary and sum to 180°Angle:
180° - 115° = 65°Find n:
4n - 5 = 654n = 70n = 17.531 & 32Angle addition postulate
∠XYZ = ∠XYW + ∠WYZAngle
m∠XYW = 110° - 72° = 38°Find x:
3x + 2 = 383x = 36x = 1233 & 34Complementary and vertical angles (mentioned above)Angle
90° - 35° = 55°Find n:
5n = 55n = 11PLEASE HELP! 20 POINTS
The speed of the current in a river is 6mph. A ferry operator who works that part of the river is looking to buy a new boat. Every day his route takes him 22.5 miles each way against the current and back to his dock and he needs to make this trip in a total of 9 hours. He had a boat in mind but he can only test it on a lake where there is no current. How fast must the boat go on the lake in order to serve his needs? PLEASE SHOW ALL WORK
Answer:
1,215 i think please be right
Help pls this is mad hard
Answer:
17
Step-by-step explanation:
a²+b²=c²
(15x15)+(8x8) = c²
225+64 = c²
√c = 17
Rita drew a scale drawing of a picnic area near the river. The picnic area, which is 135 yards long in real life, is 15 inches long in the drawing. What scale did Rita use for the drawing?
Answer: 1 inch = 9 yards
Step-by-step explanation:
From the question, we are informed that Rita drew a scale drawing of a picnic area near the river and that the picnic area, which is 135 yards long in real life, is 15 inches long in the drawing.
From the above, we can see that for every 1 inch, there are (135/15) = 9 yards. Therefore, the scale used Is:
1 inch = 9 yards
A passenger train has tickets available for 12 window seats and 8 aisle seats. The next person to buy a ticket will be randomly assigned to one of
those seats. What is the probability that the next person will be assigned to an aisle
seat?
Answer:
2/5
Step-by-step explanation:
There is an 8/20 chance that the next person will receive a window seat. You simplify that probability to get your answer. 8/20 becomes 2/5. So the answer is 2/5.
A "triply" number is a two digit number equal to three times the product of its digits. List all the triply numbers.
Answer: ONLY 15, and 24 there are not more 2 digit triply numbers i have checked all the 2 digits numbers ranging from 10 to 99
Yes there are only 2 triply numbers! Isnt it shocking! I have tried for 2 digit triply numbers from 10 to 99! Yes i did that! Lets go through a basic idea first the product of its digits mean that you mulitply whatever number your checking for a triply number. Example: your checking 15 for a triply number so 1 x 5 = 5 ( you multiply the digits in the 2 digit number to find the product of its digit)! What does 3 times the product of its digits then? hmmmmm. we know that 15's product of its digit is 5 so we mulitiply 5 x 3 because it says three times the product of its digits.
Step-by-step explanation:
15 = 1 x 5 = 5 (we do 1 x 5 because we need to find the product of its digits and to do that we multiply the digits together in the 2 digit number).
5 x 3 = 15 (we multiplied 15 x 3 because it says 3 times the product of its digits. we know the product is 5 and 3 times is multiply by 3 so we do 5 x 3 which equals to 15).
So 15 is a triply number because in the second step when we multiplied 5 x 3 we got 15; and we were checking if 15 was a triply number; because we got 15 as the answer in the second step it is a triply number).
24 = 2 x 4 = 8
8 x 3 = 24
so we got 24 as the answer again in the second step which means that 24 is a triply number.
In short, you multiply the digits in the number then whatever you get as the answer you multiply it by 3. if you get the digits from te number that you multiplied then you know that number is a triply number. from the number 10 to 99 there are ONLY 2 NUMBERS. I saw people only give 2 numbers online and i was like why does no one give all the triply but in reality there are only 2 triply numbers which are 2 digits. You can check for yourself if you dont believe me using the method above. Thank you! I hope it helped if it helped please give me a thumbs up!
We will find that the "triply" numbers are:
-15, 15, -24, 24.
How to find the "triply" numbers?We know that these aer two-digit numbers, so we can write them as:
a*10 + b
Where a and b are single-digit numbers.
A "triply" number is equal to 3 times the product of its digits, then we must have:
a*10 + b = 3*(a*b)
Moving all to one side, we have:
10a + b + 3ab = 0
So a "triply" number must meet the above criteria.
Now, the values that can take b are all the single-digit values {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
So now we need to evaluate b and find the possible vales of a.
if b = 0, then:
10*a + 0 - 3*a*0 = 0
10*a = 0
Then a = 0, but this will not give a 2-digit number.
if b = 1 then:
10*a + 1 - 3*a*1 = 0
10*a - 3a = -1
7*a = -1
a = -1/7
This is not a single-digit number.
if b = 2
10*a + 2 - 3*2*a = 0
4*a = -2
a = -2/4
This is not a single-digit number.
if b = 3
10*a + 3 - 3*3*a = 0
a = -3
a should be positive.
if b = 4 we have:
10a + 4 - 12a = 0
-2a = -4
a = -4/-2 = 2
So this gives the number 24.
if b = 5 we have
10a + 5 - 15a = 0
-5a = -5
a = -5/-5 = 1
So this gives the number 15
if b = 6
10a + 6 - 18a = 0
-8a = -6
a = -6/-8
This is not a single-digit.
if b = 7
10a + 7 -21a = 0
-11a = -7
a = -7/-11
At this point we can see that for larger values of a, we will not get more tripply numbers.
So the only "triply" numbers are: 15 and 24 (and their opposites, -15 and -24).
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A bicycle ramp used for competitions is a
triangular prism. The volume of the ramp
is 313.2 cubic feet. Write and solve an
equation to find the width of the ramp.
Possible student work:
V=Bh
13.4ft
Answer:
8.7 feets
Step-by-step explanation:
As obtained frommthe diagram attached :
Base, b of triangle = 6 feets
Height of triangle, h = 12 feets
Volume of a Triangular Prism is obtained using the relation :
Base Area * Width
Base area of prism :
0.5 * base * height
0.5 * 6 * 12 = 36ft²
Width, w of the ramp =x
Volume, V = 313.2 ft³
V = base area * width
313.2 = 36 * x
313.2 = 36x
x = 313.2 / 36
x = 8.7 feets
Solve for x: |x| − 8 = −5
Answer:
x=3
Step-by-step explanation:
Answer:
3 or -3
Step-by-step explanation:
|x| - 8 = -5
|x| = 3
The absolute value of x = 3, -3
solve the equation 2[x]>14
Answer:
2x>14
2x÷2>14÷2
X>14÷2
X>7 or X€(7,∞)
Step-by-step explanation:
step 1- divide both sides of the by 2
step 2- any expression divided by itself is 1
What is the range of a function and how do you solve for it?
5. What is the value of x?
(1 point)
60°
X
300
15
153
15
2
53
155
Answer:
x = 15[tex]\sqrt{3}[/tex]
Step-by-step explanation:
tan60 = x / 15 = [tex]\sqrt{3}[/tex] so x = 15[tex]\sqrt{3}[/tex]
Determine the solution set for (x-3)2-18=-4
the mod
784 sq. in
28 in
Approximately how much cardboard did he use in all to make the model?
828 square inches
1,092 square inches
О
1,400 square inches
o
2,016 square inches
о
Answer:
Step-by-step explanation:
base = 784 sq in² 28 in tall pyramid
each side of the square base = √784 also equals 28
using the Pythagorean theorem the length of each side of the pyramid from the base to the point is
(side/2)² + height² =( length of the pyramid face)²
(28/2)² + 28² = 196 + 784 = 980 = (face length)²
face length = √980 = 31.3
area of the pyramid = 4 sides × area of each face + the area of the base
= 4×[(1/2)(base)(face length)] + side²
= 4(1/2)(28)(31.3) + 784
= 2537 sq in² Not in the solution set
Un contenedor de 120 lt de capacidad contiene 90 lt de un líquido ¿que porcebtaje de la capacidad del tanque está desocupado
Answer:
25%
Step-by-step explanation:
Paso 1
Calcula la cantidad del contenedor que no estaba ocupado.
Esto se calcula como
Tamaño del recipiente: cantidad de líquido en el recipiente
= 120 lt - 90lt
= 30 litros
Paso 2
El porcentaje de la capacidad del tanque que está desocupado se calcula como:
= Capacidad del tanque que estaba desocupado / Capacidad del tanque × 100
= 30lt / 120lt × 100
= 25%
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex] \sqrt{193} [/tex]
Step-by-step explanation:
Given,
Height of the triangle = 7
Base of the triangle = 12
Hypotenuse of the triangle = x
Therefore, According to Pythagoras Theorem,
[tex] {(hypotenuse)}^{2} = {(base)}^{2} + {(height)}^{2} [/tex]
[tex] {x}^{2} = {12}^{2} + {7}^{2} [/tex]
[tex] = > {x}^{2} = 144 + 49[/tex]
[tex] = > {x}^{2} = 193[/tex]
[tex] = > x = \sqrt{193} (ans)[/tex]
the price of a sweater was reduced from $20 to $12 by what percentage has the price of the sweater been reduced
Answer:
The price of the sweater was reduced by 40%.
Harry wants to download some songs to his mp3 player. He received a $20 giftcard for his birthday. It costs $0.90 to download a song. At most, how many songs can he download?
Step-by-step explanation:
vvvvvec7oecyoeciiiv7oric7oriivsbshshshshshshsJ
What’s the value of x
Find the distance between (5, 9) & (-7, -7). Round to the nearest tenth.
Answer:
20.0 units
Step-by-step explanation:
[tex]\boxed{distance = \sqrt{ {(y1 - y2)}^{2} + {(x1 - x2)}^{2} }}[/tex]
Distance between (5, 9) and (-7, -7)
[tex] = \sqrt{( - 7 - 9)^{2} + ( - 7 - 5)^{2} } [/tex]
[tex] = \sqrt{( - 16)^{2} + ( - 12)^{2} } [/tex]
[tex] = \sqrt{256 + 144} [/tex]
[tex] = \sqrt{400} [/tex]
= 20 units
Pls help me with this text thing i need the answers :O PLS I NEED IT NOW HELP
Answer:
1. d.9
2.
3.
Step-by-step explanation:
that is the only one I know sorry
Let's say that a cell phone provider offers a new phone for $600 with a
$70 monthly plan. Find the equation that represents the average cost of
the phone, C(x), to use for x amount of months.
Can someone please answer this?
Answer:
Total=600+70(x)
The average cost of the phone is C(x) = (600 + 70x)/x.
How to calculate the average?In order to calculate average, divide the total sum of the data to the total number of data. An average is a standard number for a given data whose value can both be more or less than it.
Given that,
The fixed price of the cellphone is $600.
And, the monthly plan is $70.
Now, the cost of the phone increases with the number of months and the average cost is the total cost divided by the number of months.
As per the question the average cost can be written as,
C(x) = (600 + 70x)/x
Where x is the number of months.
Hence, the average cost of the given phone can be written in terms of the function of month as C(x) = (600 + 70x)/x.
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please help me with these questions!!!!!!
Step-by-step explanation:
jdjdjcycyehvwjduuxjsjsjdudu
Which is the value of x in the equation?
4(x−3)=40
A. 13
B. 14
C. 15
D. 16
Answer:
x=13
Step-by-step explanation:
4(x-3)=40
x-3=40/4
x-3=10
x=10+3
x=13
HOPE THIS HELPS YOU
Friction is not related to the efficiency of a machine.
True or False
Answer: False, Step-by-step explanation: Genuine mechanical benefit and ideal mechanical benefit are not equivalent. Valid. Work yield can never be more prominent than work input.
Use the long division method to find the result when 12x^3+17x^2+12x+4 is divided by 3x + 2.
Answer:
Step-by-step explanation:
not sur
e
Answer: 307 ÷ 24 = 209 ÷ 32 = 456
Step-by-step explanation:
Which expression is equal to
сол
(A
5x8
8 x 5
C8= 5
5=8
Which of the following equations have only one solution? Select all correct answers.
x²-x-6=0
5 x2 + 20 x+ 20 = 0
9x2 - 25 = 0
4x2+4 x=0
12+ 6 x+9= 0
Answer:
The equations which have only one solution is: 5x²+20x+20=0,
Step-by-step explanation:
Answer:
5x^2 + 20x + 20 = 0
12+ 6x +9= 0
Step-by-step explanation:
5x^2 + 20x + 20 = 0 /5 12 + 6x + 9 = 0
x^2 + 4x + 4 = 0 6x = -9-12
(x+2)^2=0 6x = -21
x + 2 = 0 x = -21/6
x=-2 x = -3.5
Six more than the quotient of a number be in 30 is greater than three
Answer: 14
Step-by-step explanation: To get this answer you would first of all 6 more means we're adding.
Quotient means division. What we're dividing is an unknown quantity -- x -- and 3.
The final total says 14. That gives us the following:
6 + x/3 = 14
If x=5 and y=−2, evaluate the following expression:20−5y+2x
Step-by-step explanation:
20−5y+2x
20-5(-2)+2(5)
20+10+10=40
Answer:
20 − ( 5 ) ( −2 ) + ( 2 ) ( 5 )
= 20 − ( −10 ) + ( 2 ) ( 5 )
= 30 + ( 2 ) ( 5 )
= 30 + 10
= 40
Hope it helps
Please mark me as the brainliest
Thank you
The base (b) of the triangle is
y feet.
The height (h) of the triangle is
feet
The area of the triangle is
square feet
Answer:
10 15 75
Step-by-step explanation: