Answer:
a)Amount of money left on Keith's card in dollars = $90 - $15x
= $(90 - 15)
b) Amount of money left on Mary's card in dollars= $110 - $20x
= $(110 - 20x)
c) Write an equation to show that the two cards have the same amount of money left on them [don't know how to do this part.
$90 - 15x = $110 - 20x
Step-by-step explanation:
Let x be the number of pizzas purchased. For each card, write an expression for the amount of money left on the card after purchasing x pizzas.
For Keith
Keith received a gift card of $90 for a pizza restaurant. The restaurant charges $15 per pizza.
x numbers of pizza costs = $15x
Hence, the amount of money left on Keith's card after purchasing x pizzas =
$90 - $15x
For Mary,
Mary received a gift card of $110 for a different pizza restaurant. The restaurant charges $20 per pizza.
Hence, x number of pizzas cost =$20 × x
= $20x
Therefore, the amount of money left on Mary's card after she buys x pizzas =
$110 - $20x
Amount of money left on Keith's card in dollars = __________
Amount of money left on Mary's card in dollars=____________
Write an equation to show that the two cards have the same amount of money left on them [don't know how to do this part.
To find the equation that shows that the two cards have the same amount of money =
Equation 1 = Equation 2
$90 - 15x = $110 - 20x
Collect like terms
-15x + 20x = $110 - $90
5x = 20
x = 20/5
x = 4
Hence, anytime Keith and Mary buys 4 pizzas their gift card will have the same amount of money left on them.
Which of the following units is commensurable with miles?
• acres
• kilograms
• hours
• centimeter
Answer:
centimeter
Step-by-step explanation:
Miles is a measure of distance, so the commensurable measure will also be a distance measure.
acres - area measure
kilograms - mass measure
hours - time measure
centimeter - distance measure
Using the commensurable units concept, it is found that centimetres is commensurable with miles.
-------------------
Two units of measurement are said to be commensurable if they represent the same thing.-------------------
Miles is a measurement of distance.Acres is a measurement of area, thus, it is incommensurable with miles.Kilograms is a measurement of mass, thus, it is incommensurable with miles.Hours is a measurement of time, thus, it is incommensurable with miles.Centimetres is a measurement of distance, thus, it is commensurable with miles, being the correct option.A similar problem is given at https://brainly.com/question/17387584
Are 95/- 5, - 95/5, - 95/5 the same?
Answer:
Step-by-step explanation:
Yes, 95/-5, -95/5, -95/5 are the same.
They are all equal to -19
Answer:
Yes, 95/-5, -95/5, -95/5 are the same.
They are all equal to -19
Step-by-step explanation:
Simplify the following expression: [tex]\sqrt{x} 48a^{8}[/tex]
Answer:
[tex]48\sqrt{x}a^{8}[/tex]
Step-by-step explanation:
[tex]\sqrt{x}48a^{8}[/tex]
rewrite using communitive property of multiplication:
[tex]48\sqrt{x}a^{8}[/tex]
[tex]\framebox{\parbox[t][1.0cm]{4.50cm}{\addvspace{0.2cm} \centering $ \;\sqrt[48]{xa^8} \; \, \dfra\;\ \;\; \dfrac{}{} $ } }\\[/tex]
Step-by-step explanation:
[tex]\sqrt{x48a^8}[/tex]
There are no variables we will just rewrite this as:
[tex]\sqrt[48]{xa^8}[/tex]
Hope this helps!
At a sale this week a suit is being sold for $323. This is a 32% discount from original price. What is the original price
Answer:
$475
Step-by-step explanation:
Make an algebraic expression
Find the standard form of the equation of the ellipse with the given characteristics. Center: (1, 2); vertex: (−7, 2); minor axis of length 12
Answer:
(x-1)²/64 + (y-2)²/144 = 1
Step-by-step explanation:
The standard equation of an ellipse is expressed as (x-h)²/a² + (y-k)²/b² = 1
Where the coordinate (h,k) is the centre of the ellipse.
a is the the difference of the x coordinates of the centre and the vertex.
b is the minor axis.
Given the centre to be (1,2), on comparing with the coordinate (h,k),
h = 1 and k = 2
The difference of the x coordinates of the centre and the vertex = -7-1 = -8
The minor axis as given in the equation is b = 12
Substituting the given parameters into the equation of an ellipse above we will have;
(x-1)²/(-8)² + (y-2)²/12² = 1
(x-1)²/64 + (y-2)²/144 = 1
The final equation gives the required standard form of the equation of the ellipse.
if 10 students each own 10 pencils, which expression matches how many in total pencils they?
10×10=100
there is 100 pencils in total
You just bought a new car from a dealership that sells cars no older than 2015. Consider the relationship to be the same age." The relation is "same age and the set is cars made in 2015, 2016, 2017, 2018, 2019, and 2020.
(a) Prove that this relation is an equivalence relation.
(b) Describe the partition defined by the equivalence classes.
Answer:
dont list me i wont points
Step-by-step explanation:
duejcju4484574
x^3 - 2y^2 - 3x^3 + z^4
Answer:
-2x³ - 2y² + z⁴
Step-by-step explanation:
Step 1: Write out expression
x³ - 2y² - 3x³ + z⁴
Step 2: Combine like terms (x³)
-2x³ - 2y² + z⁴
one third of a number less than 9 equal to 7
is 3.14159 a rational or irrational number?
Answer:
Irrational
Step-by-step explanation:
It would be a irrational number because it’s a crazy decimal/pi and you can’t determine what number comes next.
1. 25p=100 2. 35=-2x-15
• Answer:
p = 4
x = - 25
• Step-by-step explanation:
25p = 100
p = 100÷25
p = 4
35 = - 2x - 15
2x = - 35 - 15
2x = - 50
x = - 25
Answer:
1) P= 4 2) x = -25
Step-by-step explanation:
25p = 100
divide both sides by 25
p = 4
35 = -2x - 15
add 15 to both sides
50 = -2x
divide both sides by -2
x = -25
Hope this helps!
What is the slope of the line that passes through the points (-8, -1) and
(-12,-2)? Write your answer in simplest form.
Answer:
3/20
Step-by-step explanation:
use slope form
-1 - -2 over -8 - -12
The Lions football team gained 20 yards after having lost 8 yearson the previous play. What was their net gain or loss for the two plays?
Answer:
Net gain = 12 years(point)
Step-by-step explanation:
The Lions football team gained 20 yards after having lost 8 yearson the previous play.
Years(point) gained= 20
Years(point) loss= 8
The net gain for the two plays
Net gain = gain - loss
Net gain = 20-8
Net gain = 12 years(point)
Evaluate each expression. (Simplify your answers completely.)
Answer:
b- 6
c- 72 square root 2
Step-by-step explanation:
x^2+y^2=25 Y= 2x - 5
What are the x coordinates
Answer:
(0, -5) and (4, 3)
Step-by-step explanation:
I assume you're looking for the coordinates of the intersections, if any.
Solve by substitution:
x² + (2x − 5)² = 25
x² + 4x² − 20x + 25 = 25
5x² − 20x = 0
5x (x − 4) = 0
x = 0 or 4
So the coordinates are (0, -5) and (4, 3).
Use the distributive to remove the parentheses: x(c-4)
Answer:
xc + -4x
Step-by-step explanation:
The distributive property allows the multiplication of a sum by multiplying each addend separately and then sum those products.
With this in mind, let's apply the distributive property to the expression:
x (c - 4)
= x * c + x * (-4)
= xc + -4x
Cheers.
The identification code on a bank card consists of 1 digit followed by 2 letters. The code must meet the following conditions: The digit must be odd. The letters A, E, I, O, and U cannot be used. Letters cannot be used more than once.
Answer:
For the code we have 3 selections.
The first selection is a digit that must be odd, so the options are {1, 3, 5, 7 ,9}
So we have 5 options.
The second selection is a letter from the set of all the letters (27) minus the set of the vowels (5)
So here we have 27 - 5 = 22 options
The third selection is also a letter from the previous set, but because each letter can be used only one time, and in the previous selection we already selected one of the letters, in this selection we have a letter less than in the previous selection.
Here we have 22 - 1 = 21 options.
The total number of combinations (of possible codes) is equal to the product of the number of options for each selection:
C = 5*22*21 = 2310.
There are 2310 different possible codes
Solve the problem
19-c=-10
Answer:
c=29
Step-by-step explanation:
19 - 29 = -10
Points A, B, and C are collinear and AB. AC at (n, q) and point C is located at (-3,-4). What are the values of n and q?
Answer:
the answer is -4
Step-by-step explanation:
Ju Chan solved the previous question by finding the expression 4(-15). Which addition problem would give the same result? Choose all that apply. A . 15 + 15 + 15 + 15
A . 15 + 15 + 15 +15 B . 4 + 4 + 4 + 4
C . (–1)(15 + 15 + 15 + 15)
D . (–15) + (–15) + (–15) + (–15)
Answer:
C. (-1)(15+15+15+15)
D. (-15)+(-15)+(-15)+(-15)
Step-by-step explanation:
The original expression: 4(-15)=-60
Let's try choice A: 15+15+15+15=60(not a negative number, so does not work)
Let's try choice B: 4+4+4+4=16(nowhere near -60)no
Let's try choice C: (-1)(15+15+15+15)=(-1)(60)=-60--yes
Let's try choice D: (-15)+(-15)+(-15)+(-15)=-60--yes
Only choices C and D work.
Answer:
c and d
Step-by-step explanation:
just did it
Which expression shows
8 less than the product of
4 times 7?
A: 7 + 7 - 8
C:4x7 - 8
B:8-4x7
D: 4X 7 + 8
Answer:
8 less than the product of 4 times 7 is....
8-4×7.
Answer:
i think b cuz it shows 8 less means minus than product of 4 × 7 so it shows the answer b
Solve for x. 3(2x - 2) = 21 + 3x
15 5 20 9
Answer:
x=9
Step-by-step explanation:
3(2x - 2) = 21 + 3x
Divide each side by 3
3/3(2x - 2) = 21/3 + 3x/3
2x-2 = 7+x
Subtract x from each side
2x-2-x = 7+x-x
x-2 = 7
Add 2 to each side
x-2+2 = 7+2
x = 9
which of the following statements is not true concerning the equation x^2 - C = 0 for C > 0
A. the left hand side of the equation is called a difference of two squares
B. quadratic equation in this form can always be solved using the square root property
C. a quadratic equation in this form can always be solved by factoring
D. this equation is not considered to be a quadratic equation because it's not at the farm of ax^2 + BX + C = 0
Answer:
it is the quadratic equations to sole your questions
Ms. Rangtonsmith make $25 dollars an hour. Her boss will be giving him a raise that is 1/5 of her current salary. How much money will Ms. Rangtonsmith be making AFTER he gets a raise?
Answer:
Ms. Rangtonsmith will get $30 after raise
Step-by-step explanation:
Current salary = $25
raise = 1/5 of current salary
substituting current salary with $25
raise in dollar value = 1/5 of $25 = 1/5 *$25 = $5
Thus, raise is $5
total salary after raise will be sum of current salary and raise
total salary after raise = $25 + $5 = $30
Thus, Ms. Rangtonsmith will get $30 after raise
Plz help 7th grade math ASAP
Answer:
6
Step-by-step explanation: think of it this way. When you adding a positive to a negative, you simply taking the negative away from the positive. So in this case, you are subtracting 2 from 8 to get six. Or, its the difference between the positve and the negative!! Hope this helps!
Answer:
6
Step-by-step explanation:
Simplify: 8 + (-2) = 8 - 28 - 2 = 6I hope this helps!
In a manufactory, there are two types of spoilages. It is found that 5% of spoilages are due to transformer spoilage, 8% are due to line spoilage and 3% involve both problems. (a) Are the two types of spoilages independent or not? Justify your answer. (b) What is the probability that: i- line spoilage given that there is transformer spoilage ii- Transformer spoilage but not line spoilage. iii- Transformer spoilage given that there is no line spoilage iv- Neither transformer spoilage nor there is no line spoilage v- Either transformer spoilage or there is no line spoilage
Answer:
Step-by-step explanation:
Let us denote probability of spoilage as follows
Transformer spoilage = P( T ) ; line spoilage P ( L )
Both P ( T ∩ L ) .
Given
P( T ) = .05
P ( L ) = .08
P ( T ∩ L ) = .03
a )
For independent events
P ( T ∩ L ) = P( T ) x P ( L )
But .03 ≠ .05 x .08
So they are not independent of each other .
b )
i )
Probability of line spoilage given that there is transformer spoilage
P L/ T ) = P ( T ∩ L ) / P( T )
= .03 / .05
= 3 / 5 .
ii )
Probability of transformer spoilage but not line spoilage.
P( T ) - P ( T ∩ L )
.05 - .03
= .02
iii )Probability of transformer spoilage given that there is no line spoilage
[ P( T ) - P ( T ∩ L ) ] / 1 - P ( L )
= .02 / 1 - .08
= .02 / .92
= 1 / 49.
i v )
Neither transformer spoilage nor there is no line spoilage
= 1 - P ( T ∪ L )
1 - [ P( T ) + P ( L ) - P ( T ∩ L ]
= 1 - ( .05 + .08 - .03 )
= 0 .9
Beverly has a backyard that is square. One of the sides is 10 feet long. What is the area of her back yard?
Answer:
100 ft sq.
Step-by-step explanation:
A square means all sides are equal.
Area = bxh
10 ft x 10 ft = 100 ft sq.
Answer:
The area is 100 ft^2
Step-by-step explanation:
A square has 4 equal sides so if one side is ten then all of the sides are 10
the absolute value of twice a number increased by 11
Answer: I2*N + 11I
Step-by-step explanation:
Let's break the sentence so it is easier to understand:
First, "the absolute value of a number N" is:
INI.
"twice a number increaced by 11"
is:
2*N + 11
Then; "the absolute value of twice a number increased by 11" is:
I2*N + 11I
WILL MARK BRAINLIEST An architect is drafting a scale drawing of a house for an upcoming project. The customer wants the front of the house to measure 60 feet long. The architect's sketch shows that the front of the house has a length of 15 inches. Determine the factor of dilation used by the architect as he created the scale drawing for his customer. In your final answer, include all of your calculations.
Answer:
The scale factor is 1/48
Step-by-step explanation:
First, we need to convert 60 feet to inches.
60 feet = 720 inches
Then, we divide 720 by 15
720/15= 48.
The scale factor is 1/48.
The scale factor of dilation is given by the proportion and A = 48
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion be represented as A
Now , the value of A is
We can use the ratio of the lengths of the corresponding sides to find the scale factor or dilation factor used by the architect.
Let A be the factor of dilation used by the architect. Then we can set up the following proportion:
60 feet / A = 15 inches / 1
We can solve for x by cross-multiplying:
60 feet x 1 = A x 15 inches
A = (60 feet) / (15 inches)
We need to convert feet to inches to get the units to match:
A = (60 feet) / (15 inches) x (12 inches / 1 foot)
Simplifying, we get:
A = 720 / 15
A = 48
Hence , the architect used a scale factor of 48 when creating the scale drawing of the house
To learn more about proportion click :
https://brainly.com/question/7096655
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Solve the following linear equation and please explain how you did it 6y+8=6(y+4)−16
Answer:
infinite solutions, true for all y
Step-by-step explanation:
6y+8=6(y+4)−16
Distribute
6y+8 = 6y+ 24 - 16
Combine like terms
6y+8 = 6y+8
Subtract 6y from each side
8=8
Since this is always true, the equation is true for all real y
Answer:
True of all values of 'y'.
Step-by-step explanation:
[tex]6y+8=6(y+4)-16\\\\6y+8=6y+24-16\\\\6y+8=6y+8\\\\6y+8-8=6y+8-8\\\\6y=6y\\\\6y-6y=6y-6y\\\\\boxed{0=0}[/tex]
Hope this helps.