Answer:
Large cup cost $4.25
Step-by-step explanation:
Medium: x
Large: y
Constraints:
7x + 10y = 68.75
10x + 15y = 101.25
Isolate y variable:
(7x + 10y = 68.75) * -10 ===> -70x - 100y = -687.50
(10x + 15y = 101.25) * 7 ===> 70x + 105y = 708.75
____________________
add the two equations 5y = 21.25
divide by 5 y = 4.25
The sum of two numbers is −36. Their difference is 68. Find the numbers.
The two numbers from the equations are 16 and -52
The first number is 16
The second number is -52
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 first number be = x
Let the second number be = y
So , the equation will be
Let the sum of two numbers be = -36
And the equation will be
x + y = -36 be equation (1)
Let the difference of two numbers be = 68
And the equation will be
x - y = 68 be equation (2)
Subtracting equation (1) from equation (2) , we get
On simplifying the equation
2x = 32
Divide by 2 on both sides of the equation , we get
x = 16
The equation will be
Substituting the value of x in the equation , we get
x + y = -36
16 + y = -36
Subtracting 16 on both sides , we get
y = -52
Hence , the two numbers are 16 and -52
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ6
A washing machine marked for $320 was sold at $280. What was the percentage of discount for the washing machine?
Answer:
the person who bought it saved 40 dollars and the percentage saved was 12.50 i just used a discount calculator on google
Step-by-step explanation:
Answer:
12.5%
Step-by-step explanation:
Complete the definition.
A relation/function is a relation/function where there is exactly one unique output/input for each output/input
Answer:
A relation has an input value which corresponds to an output value. When each input value has one and only one output value, that relation is a function. Functions can be written as ordered pairs, tables, or graphs. The set of input values is called the domain, and the set of output values is called the range.
Step-by-step explanation:
what number gives a result of -4 when 10 is subtracted from the quotient of the number and 5
Answer:
35
Step-by-step explanation:
35/5 =
6
6-10 =
-4
if y varies directly as x and y= 6 when x= 10 find x when y=18
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
y ∝ x
y = kx
k = 0.6
The value of x when y = 18 is 30.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 5y is an equation.
2x + 4 + 9 is an equation.
We have
if y varies directly as x.
This can be written as,
y ∝ x
y = kx _____(1)
From (1),
y = 6 when x= 10
6 = 10k
k = 6/10
k = 0.6
Now,
y = 0.6x
when y = 18,
18 = 0.6x
Divide both sides by 0.6.
x = 18/0.6
x = 180/6
x = 30
Thus,
y ∝ x
y = kx
k = 0.6
The value of x when y = 18 is 30.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ2
What is the value of B? Thanks!
Answer:
Vertical change = 4
Horizontal change = 1
Slope = 4
b (y-intercept) = 2
Step-by-step explanation:
From the graph (notice it as also marked with an arrow) you can get the value of "b" (also called the -intercept) is "2"
Please notice that you have entered wrong values for the slope.
By using the points (0, 2), and (1, 6) which are marked on the graph, you estimate the slope doing:
slope = vertical_change / horizontal_change = (y2 - y1) / (x2 - x1)
in our case, the vertical change (y2 - y1) is : 6 - 2 = 4
The horizontal change is (x2 - x1) = (1 - 0) = 1
Then the slope is: 4 / 1 = 4
slope = 4
and "b" (or y-intercept) is 2
Let p be "Today is Friday" and let q be "Today is Wednesday."
Write in words the disjunction of the two statements. (Select all that apply.)
A. Today is Friday or Wednesday.
B. Today is not Friday or Wednesday.
C. Today is Friday or today is Wednesday.
D. Today is neither Friday nor Wednesday.
E. is not Friday or today is not Wednesday.
Answer:
Today is neither Friday nor Wednesday.A and C
I think this is correct
: )
Help help help help help
Answer:
4.5 = 13.5
11/2 = 16 1/2
36 = 12
46.5 = 15.5
Step-by-step explanation:
hope this helped!
PPLLEEAASSEE HHEELLPP
Answer:
Step-by-step explanation:
4
Answer:
[tex]\boxed{4}[/tex]
Step-by-step explanation:
→ Remember when dividing fractions, the second fraction 'flips'
[tex]6/\frac{3}{2} =6*\frac{2}{3}[/tex]
→ Simplify
[tex]6*\frac{2}{3} =\frac{12}{3} =4[/tex]
Jermaine Samson earns 6 1/2% commission
on sales of $5,600 selling flat screen TVs.
What is his commission?
$36,400
$3,640
$364
Answer:
364
Step-by-step explanation:
0.065 x 5,600
Answer:
$364
Step-by-step explanation:
multiply 0.065 by 5,600
PLEASE HELP
Graph the following equation:
y=1/4x-2
Answer:
see explanation
Step-by-step explanation:
-2 is your y-intercept so one point on your plot is (0,-2)
your slope is 1/4, rise/run
so from the y-int go up 1 and right 4, so another point is (-1,4)
and you can keep going up 1 and right 4 for as many points as you need.
Use substitution to solve the system.
4x + 3y = 8
y = 3x - 19
Please helppp
Answer:
x=5
y=-4
hope it helps
:)
Notebooks are priced 3.20 for 4 notebooks Pencils are priced 4.80 for 12 pencils calculate the unit rate for cost per pencil. Make sure you show your reasoning
Answer:
to find the answer for 1 pencil you just need to divide
Step-by-step explanation:
3.20$ divide by 4=0.8 /each pencil cost 0.8
4.80$ divide by 12=0.4 /each pencil cost 0.4
otra forma de representar 42/9
Answer:
42/9=14/3
Step-by-step explanation:
Simplificación de Fracciones
Una fracción de la forma x/y puede ser representada de infinitas maneras, siempre y cuando produzcan el mismo resultado.
Por ejemplo, las fracciones 5/3 y 10/6 son equivalentes porque producen el mismo resultado. Obsérvese que tanto el numerador como el denominador en la segunda están multiplicados por 2.
Igualmente si tenemos 10/6, podemos obtener 5/3 dividiendo a ambos por 2.
La fracción 42/9 puede convertirse a una fracción equivalente dividiendo ambos términos por 3 para obtener 14/3
The dimensions of a box are 3 cm × 5 cm × 7 cm. The width, length, and height of the box must be increased by the same amount x in order for the box to have a volume of 693 cm cubed. Determine the value of x that will produce a box with a volume of 693 cm3
Answer:
its 6.6 (I think???)
Step-by-step explanation:
the volume of that box is 105 and 105 x 6.6 is 693. please forgive me if I'm wrong i havent learned this yet.
The dimensions of the new box are 7 cm, 9 cm, and 11 cm.
How to solveThe original volume of the box is 357 = 105 cm3. After the dimensions are increased by x, the new volume is (3+x)(5+x)(7+x) = 693 cm3.
Expanding the product gives [tex]x^3+15x^2+71x-588 = 0.[/tex]
This cubic equation can be solved for x, and the only real solution is x = 4.
Therefore, the value of x that will produce a box with a volume of 693 cm3 is 4. This means that the dimensions of the new box are 7 cm, 9 cm, and 11 cm.
Read more about cubic equation here:
https://brainly.com/question/1266417
#SPJ2
What is the slope? Help please
Answer:
2 or 2/1 either one works
Step-by-step explanation:
Autumn buys 9 bottles of orange juice at the corner store for a total cost of $10.71. If each bottle costs the same amount, how much is each bottle of juice?
Answer:
1.19$ each
Step-by-step explanation:
10.71/9= 1.19
If y varies directly as the cube of x, and y=
54 when x = 3, find y when x= 5.
Answer:
250
Step-by-step explanation:
From the question given above,
y varies directly as the cube of x. This can be written as
y ∝ x³
y = Kx³
Next, we shall determine the value of the constant (K) as follow:
y = 54
x = 3
K =?
y = Kx³
54 = K × 3³
54 = K × 27
Divide both side by 27
K = 54/72
K = 2
Finally, we shall determine the value of y when x is 5. This can be obtained as follow:
x = 5
K = 2
y =?
y = Kx³
y = 2 × 5³
y = 2 × 125
y = 250
Therefore, the value of y is 250
3/8 of {38/5-1/3{5/4+10/3}×12/5
Answer:
1863/275=6.7745recurring
Step-by-step explanation:
Dont u have a calculator
sorry for asking to much but thank u so much for the answers!!!!!
Answer:
x = 67°
Step-by-step explanation:
there are 180 degrees in a triangle and we know that the two corners equal the same amount. so we can set up an equation like this:
180 = 46 + 2x
so now lets subtract 46 from both sides to simplify the equation.
134 = 2x
now we can divide both sides by 2 to get our final answer.
67 = x
we can check our answer by solving this expression:
67 + 67 + 46 = ?
after adding these together, we get 180 so we know our answer is correct.
hope this helped!
PLEASE HELP ITS A BENCHMARK TEST ILL GIVE BRAINIEST Four points, D. V. Q, and M, are all positive rational numbers that are not equal to one another.
Each point can be marked on a number line.
Use the following information to determine whether each statement about the locations of those points is true. Mark True or False for each statement.
Point D< Point V
• Point Q> Point V
• Point D > Point M
True
False
Statement
Point Q is farthest to the right on the number line.
Point D is farthest to the left on the number line.
Point Mis to the left of Point V.
Point V is to the left of Point D
Answer:
TRUE
FALSE
TRUE
FALSE
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times the measure of the first angle. The third angle is 16 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles
Answer:
First: 30°
Second: 67°
Third: 83°
Step-by-step explanation:
First: x
Second: y
Third: z = y + 16
Constraints:
x + y + z = 180
y + z = 5x ===> y = 5x - z
Substitution to find first angle x:
x + y + z = 180
x + (5x - z) + z = 180
x + 5x - z + z = 180
6x = 180
x = 30
Substitution to find second angle y:
y = 5x - z
y = 5(30) - z
y = 150 - z
y = 150 - (y + 16)
y = 150 - y - 16
y = 134 - y
2y = 134
y = 67
Substitution to find third angle z:
z = y + 16
z = (67) + 16
z = 83
Answer:
x=30 y=67 z=83
Step-by-step explanation:
The solution is therefore (30,67,83).
What is the complete factorization of 36y2 - 1?
A.
6(y + 1)(y- 1)
B.
(6y + 1)(6y-1)
O c. (6y-11²
OD. (-6)(y + 6)
Answer:
c
Step-by-step explanation:
A 2-column table with 6 rows. Column 1 is labeled Tables with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled Chairs with entries 6, 12, 18, 24, 30, 36.
Rachel needs two tables for her birthday party. How many chairs will she need?
Answer:
The answer is 12
Step-by-step explanation:
i got it right
Answer:
the answer is 12
Step-by-step explanation:
segment E prime F prime has endpoints located at E'(1, 0) and F'(1, 3). segment EF was dilated by a scale factor of one half from the origin. Which statement describes the pre-image? segment EF is located at E (0.5, 0) and F (0.5, 1.5) and is half the size of segment E prime F prime. segment EF is located at E (1, 0) and F (1, 3) and is the same size as segment E prime F prime. segment EF is located at E (2, 0) and F (2, 6) and is twice the size of segment E prime F prime. segment EF is located at E (3, 0) and F (3, 9) and is three times the size of segment E prime F prime.
9514 1404 393
Answer:
C. segment EF is located at E (2, 0) and F (2, 6) and is twice the size of segment E prime F prime
Step-by-step explanation:
If the image is 1/2 the size of the original (scale factor = 1/2), the original is twice the size of the image. Each of the original coordinates is double the image coordinate value.
E(2, 0) = 2×E'(1, 0)
F(2, 6) = 2×F'(1, 3)
Answer:
segment EF is located at E (2, 0) and F (2, 6) and is twice the size of segment E prime F prime.
Step-by-step explanation:
just took test and got it correct
3 n - 5 p + 2 n = 10 p for n
Answer:
n = 3p
hope this works
A statistics class has 50 students and among those students, 42 are business majors and 8 like grilled cheese. Of the business majors, 3 like grilled cheese. Find the probability that a randomly selected statistics student is a business major or likes grilled cheese.
The answer is 0.94 !!!
The probability that a randomly selected statistics student is a business major or likes grilled cheese is 0.94.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Given that the statistics class has 50 students and among those students, 42 are business majors, and 8 like grilled cheese. Of the business majors, 3 like grilled cheese.
The probability will be calculated as:-
P(AUB) = P(A) + P(B) - P(A[tex]\cap[/tex]B)
[tex]P(AUB)=\dfrac{42}{50}+\dfrac{8}{50}-\dfrac{3}{50}[/tex]
[tex]P(AUB) = \dfrac{50-3}{50}[/tex]
[tex]P(AUB)=\dfrac{47}{50}[/tex]
P(AUB) = 0.94
Therefore the probability that a randomly selected statistics student is a business major or likes grilled cheese is 0.94.
To know more about probability follow
https://brainly.com/question/24756209
#SPJ2
the value of x for the exponential function f(x) = e^x is a set of real numbers?true or false
Answer:
a) f(x) = x^2
b) f(x) = x
c) any pair of numbers
Step-by-step explanation:
The value of the exponential function f ( x ) = eˣ has the domain as the set of all real numbers
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the exponential function be represented as A
Now , the value of A is
f ( x ) = eˣ be equation (1)
And , exponential functions have a positive base, and a variable for an exponent.
The scope of an exponential function encompasses all real numbers since all powers of a positive base are defined. All the values of the function will be positive since we begin with a positive base and powers of a positive base are always positive.
The function never accepts the value 0 or any negative number, as indicated by that. An exponential function can only be applied to positive values. Other than that, their activities are varied.
And , the domain is all real numbers and the range is all positive real numbers
Hence , the value of the exponential function is a set of real numbers
To learn more about exponents click :
https://brainly.com/question/28966438
#SPJ2
12 % of 140 = with explanation
Answer: 16.8
Step-by-step explanation: 12% of 140 = 16.8. (I’m not sure what I say for the explanation! Really sorry! But I hope I helped!)
Answer:
16.8
Step-by-step explanation:
12 % of 140
12/100×140
12×140/100
1680/100
16.8
So 16.8 is the answer
56:43 Theo found the driving distance from Glacier National Park to Yellowstone Park to be 448 miles. Theo used a map that had a ratio of StartFraction 5 centimeters over 320 miles EndFraction. How many centimeters is the distance on the map? Round to the nearest unit if necessary. 4 centimeters 7 centimeters 64 centimeters 90 centimeters
Answer:
7 cm
Step-by-step explanation:
Convert 448 miles to the equivalent in cm on the map:
448 mi 5 cm 2240 cm
--------------- * --------------- = --------------- = 7 cm (which matches the 2nd ans.)
1 320 mi 320