Answer:
The system of Equations:
4x + 3y = 42
x + 7y = 44
Step-by-step explanation:
Let the price in dollars of
each pair of pants = x
each shirt = y
A customer at a store paid $42 for 4 pairs of pants and 3 shirts.
Hence:
4 × x + 3 × y = $42
4x + 3y = 42
At the same store, a second customer paid $2 more for 1 pair of pants and 7 shirts.
This means he, paid $42 +$2 = $44
Hence:
1 × x + 7 × y = 44
x + 7y = 44
The system of equations can be used to find the price in dollars of each pair of pants, x, and each shirt, y is
4x + 3y = 42.... Equation 1
x + 7y = 44..... Equation 2
What is the scientific notation for 3,470
Answer:
3.47 x 103
hope this helps
2. Is the point (0,2) the solution to the system of equations: SHOW ALL YOUR WORK.
2 − = −2
2 + 4 = 8
Answer:
A system of linear equations usually has a single solution, but sometimes it ... Number of solutions to system of equations review. CCSS.Math: 8.EE.C.8 ... also work for the other equation, so there are infinite solutions to the system. ... (2, 0) ( 1, 2) and then draw a line that goes through all of the points. For the ... y = −3x− 4
Step-by-step explanation:
y = −3x− 4
Answer:
No variables in the equations so..?
2 - = -2 ; Not true
6 = 8 ; Not true
water flows from a faucet at a constant rate. Kian measures 8 cups of water in 6 second s. What is the constant proportionality for the relationship of cups of water to minutes
help now please i need help
Answer:
C
Step-by-step explanation:
I need help pllssss
Answer:
It is clear from the graph,
The value of x=-6 at y=0.Thus, x=-6 is the zero of g.
Step-by-step explanation:
A zero of the linear function 'g' on the graph of a linear function can be observed where the 'y-value' is zero.
In other words,
A point where the line tends to cross the x-axis is called the x-intercept.x-intercept can be observed by setting the y=0 and determining the value of x at y=0It is clear from the graph,
The value of x=-6 at y=0.Thus, x=-6 is the zero of g.
what is 3/4 ÷ 1/8 tell me th asnwer
Answer:
3/4 * 8/1=24/4= 6
Step-by-step explanation:
3/4 ÷ 1/8
keep change flip
3/4 × 8/1
3×8=24 4×1=4
24/4 improper fraction
6 answer
Answer:
answers = 24/4 = 6
Step-by-step explanation:
Antonio has $350 to spend on skis. Sales tax is 6%. Decide if each description of a price and discount, plus sales tax, represents a pair of skis that Antonio can purchase with the money he has. Choose yes or no for each description.
Answer: See explanation
Step-by-step explanation:
Antonio has $350 to spend on skis. sales tax is 6%. decide if each description of a price and discount, plus sales tax, represents a pair of skis that antonio can purchase with the money he has. choose yes or no for each description. a. 25% off $450 b. 20% off $385 c. $20 off $360 d. 15% off $360 e. $10 off $340.
The amount of money that Antonio can spend will be:
= $350 - (6% × $350)
= $350 - (0.06 × $350)
= $350 - $21
= $329
a. 25% off $450
= $450 - (25% × $450)
= $450 - (0.25 × $450)
= $450 - $112.50
= $337.50
No
b. 20% off $385
= $385 - (20% × $385)
= $385 - (0.2 × $385)
= $385 - $77
= $308
Yes
c. $20 off $360
= $360 - $20
= $340
No
d. 15% off $360
= $360 - (15% × $360)
= $360 - $54
= $306
Yes
e. $10 off $340
= $340 - $10
= $330
No.
Based on the $329 that Anthony has, he can make purchases on:
b. 20% off $385
d. 15% off $360
Find the zeros of the polynomial
function and state the multiplicity of
each
A power pole 10 m tall casts a shadow 8 meters long, at the same time that a building nearby casts a shadow 14 m long. How tall is the building?
Answer:
17.5 meters
Step-by-step explanation
I included an illustration of what they are asking for.
Notice, since the light of the sun is coming from the same place, the shadow angles relative to the ground, X and Z, will be the same. So the triangles formed are similarUse SOH CAH TOA to find the angle Z This just means when you have an angle in a right triangle, in order to know whether to use Cosine, Sine or Tangent, look at what sides you haveWe have the sides opposite (O) and adjacent (A) to angle Z, so we tangent (T)[tex]\tan (Z)=\frac{O}{A}\\\tan (Z)=\frac{10m}{8m}=1.25[/tex] Now since angle Z equals X, they have the same tangent valueSo we can use that to find the building height, which it the opposite (O)Don't forget to use the new adjacent 14m[tex]\tan (X)=\frac{O}{A}\\1.25=\frac{O}{14m}\\O=(1.25)(14m)\\O=17.5m[/tex]What type of solution would you get for 0=0
A. one solution
B. no solution
C.infinite
Four times the sum of a number and seven is twenty three.
Answer:
[tex]\frac{-5}{4}[/tex]
Step-by-step explanation:
You're going to want to set up an algebraic equation to solve this. It would look like this: 4(x+7)=23. Using distributive property, you'd get 4x+28=23. Subtract 28 from both sides to isolate 4x, and you'd get 4x=-5. Divide by 4 on both sides to isolate x and you'd get x=[tex]\frac{-5}{4}[/tex].
CHECK:
To check, plug in x.
4([tex]\frac{-5}{4}[/tex]+7)=23.
Use distributive property and get [tex]\frac{-20}{4}[/tex]+28=23. This simplifies to -5+28=23, which is correct.
a savings account earns 8% interest each year, compounded quarterly (4 times a year). If a person invests $100 and makes no further deposits or withdrawals, what is the balance in the account after 3 years?
===========================================
Work Shown:
The given values are
P = 100 = amount deposited (principal)r = 0.08 = decimal form of the annual interest raten = 4 = compounding frequencyt = 3 = number of yearsWhich means,
A = P*(1+r/n)^(n*t) .... compound interest formula
A = 100*(1+0.08/4)^(4*3) .... plug in given values
A = 126.824179456254 ..... value is approximate
A = 126.82 ...... round to the nearest cent
The balance of the account after three years is $126.82
Answer:
124 dollars
Step-by-step explanation:
.08 times 100 equals 8
eight times three is twenty four
that is the simplest answer. if the question had any further interests it might of been 126 or even 125.97
what is the opposite -2/5
Answer:
it would be a positive 2/5
Step-by-step explanation:
Answer:
2/5 just not negative anymore!
Step-by-step explanation:
Find the sale price. Round to the nearest cent. regular price: $49.71 percent of discount: 20%
Answer:
$39.77
Step-by-step explanation:
Simplify 12x^7y^3 divided by 6x^3y
Answer:
2y^3x^7-3y
Step-by-step explanation:
I had the same problem on my test and got it right trust me
The expression 12(x⁷)(y³) divided by 6(x³)(y) is equal to 2x⁴y².
What is a polynomial?An expression that consists of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
To simplify the expression, we can divide the coefficients and subtract the exponents of the variables with the same base.
Therefore:
12(x⁷)(y³) divided by 6(x³)(y)
= (12/6)(x⁽⁷⁻³⁾(y⁽³⁻¹⁾)
= 2x⁴y²
Therefore, 12(x⁷)(y³) divided by 6(x³)(y) is equal to 2x⁴y².
To learn more about Polynomials;
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Select all of the expressions that are equivalent to 8/5.
A. 5 x 1/8
B. 8 x 1/5
C. 2 x 4/5
D. 4 x 2/5
C. 2 x 6/5
Answer:
B, C, and D
Step-by-step explanation:
A) 5 x 1/8 is 5/1 times 1/8 which is 5/8 (Incorrect)
B) 8 x 1/5 is 8/1 times 1/5 (multiply straight across and you get 8/5 (Correct)
C) 2 x 4/5 (again, it's 2/1 just multiply straight across and you are basically only multiplying the two numerators each time. Because 1 times 5 will always be 5) (Correct)
D) Correct because 4 times 2 is 8 which is over 5, hence, 8/5 (Correct)
E) 2 times 6 is 12 over 5 which is 12/5, not 8/5. (Incorrect)
Give me brainliest if I helped you
what is y-intercept?
Answer:
The number on the graph that touches the y-axis or the the c term. EX. 3x^2 + 2x -3. -3 is the y intercept
Step-by-step explanation:
Write the equation of the line
Answer:
The equation of the line is
[tex]y = \frac{1}{3}x - 2[/tex]
Step-by-step explanation:
Remember:
[tex]slope = \frac{rise}{run} [/tex]
A tree that is 10 feet tall casts a shadow that is is 5 feet long. Find the height of a light pole that casts a 9 foot
Answer:
The light pole is 18 feet tall. This is because it casts a shadow that is 9 feet long.
NEED HELP!!! which point represents the ordered pair (-3,5)?
Answer:
The answer is A
Step-by-step explanation:
HURRY Graph f(x) = -1x-5
Use the line tool and select two points to graph the line.
Answer:
Step-by-step explanation:
Paula is the student council member responsible for planning an outdoor student dinner dance. Plans include
hiring a band and buying and serving dinner. She wants to keep the ticket price as low as possible to encourage
student attendance while still covering the cost of the band and the food.
1.) Band A charges $700 to play for the evening and Band B charges $550 plus $1.50 per student.
a. Write a system of equations to represent the costs of the two bands. Use y for total cost and use x for
number of students.
Answer:
Band A:y=700
Band B:y=550+1.50x
Step-by-step explanation:
Band A: since they are a fixed rate no matter how many students the equation would be y=700 . There is no need for x since there is no extra price for students
Band B: Since this band charges 550 plus 1.50 per student we will need a x in our equation
y=550+1.50x
The difference between the two equations is that in Band B we need to add the price per student.
The lowest elevation in Lammefjord, Denmark, is 23 feet below sea level. The elevation of the Sea of Galilee in Israel is about 30 times lower than the elevation of Lammefjord. What is the approximate elevation of the Sae of Galillee written as an integer?
Answer:
[tex]Sea\ of\ Galilee = -690ft[/tex]
Step-by-step explanation:
Given
[tex]Lowest\ Elevation = 23ft[/tex] below sea level
Sea of Galilee = 30 times Lowest in Lammefjord, Denmark
Required
Determine the elevation of the Sea of Galilee
We have that the lowest elevation in Lammefjord is:
[tex]Lowest\ Elevation = -23ft[/tex]
It is negative because, the elevation is below sea level.
Calculating the elevation of Sea of Galilee, we have:
Sea of Galilee = 30 times Lowest in Lammefjord, Denmark
[tex]Sea\ of\ Galilee = 30 * -23ft[/tex]
[tex]Sea\ of\ Galilee = -690ft[/tex]
Hence, the elevation of Sea of Galilee is -690ft or 690ft below sea level
y = -9
- 10x + 9 =-11
Answer:
x = 2
Step-by-step explanation:
-10x + 9 = -11
-10x = -20
x = 2
Answer:
x=2
Step-by-step explanation:
−10x+9=−11
−10x+9−9=−11−9
−10x=−20
−10x /−10 = −20 /−10
x=2
A pack of five basic solid T-shirts costs $29.95 in a store. The sales tax where they are sold is 7.75%. What is the unit cost of a t-shirt, the price per t-shirt, with tax included?
$5.99
$6.45
$6.75
$6.99
Answer:
6.45
Step-by-step explanation:
29.95+7.75%=32.27
32.27/5
6.45
Point B is at (-1.5 , 6.3). Point B is reflected across the x-axis to become point C.
The coordinates of point C are___________ .
Point C is located in quadrant _________ .
PLS HELP
BRAINLIST
Answer:
Located in quadrant 2. And coordinates of point c are (1.5, 6.3)
Step-by-step explanation:
Hope this helped you!! Give brainliest..
Answer: 2 and 3
Step-by-step explanation:
PLEASE HELPP!! (10 points)
Answer:
Gertrude, Bart, Hermione, Jojo
Step-by-step explanation:
Ok to start of lets identify the money in each bank account
I will not be using names to make this simpler.
Student A: $-100.54
Student B: $95.88
Student C: $50.00
Student D: $-120.37
Lets pretend that were not talking about money to help you understand this.
So just from glancing at this you'd think -120.37 would be the most because its the largest number correct?
Well you have to include the negative sign. The negative sign shows that this number is below 0.
Lets take a look at the other negative number.
-100.54
Greater or less than -120.37?
-100.54 is actually greater than -120.37
Why?
On a number line, the negative side, your counting back from 0. So the farther away you are from 0 for negatives, the less that number is.
So -120.37 would be the least and -100.54 would be the second least.
The greatest would be 95.88 because its greater than 50.
So the order would be 95.88, 50, -100.54, then -120.37
Just find which students that goes with and your done!
If you ever need more help don't be afraid to reach out and I hope that helps!
Spencer bought gas for his four-wheeler from Gas World on Saturday. On Sunday, he bought the same amount of gas from Fuel Stop for less money. Now, Spencer has $20 to spend on gas for his car. Fuel Stop is on his way home. If the gas prices haven't changed, will Spencer be able to get more or less gas at Fuel Stop than at Gas World?
Answer:
Step-by-step explanation:
spencer bought the same amount of gas from gas world and fuel stop. since the gas cost less money at fuel stop, the gas is cheaper at fuel stop at gas world.
spencer has $20 to spend on gas for his car at fuel stop.
since the gas is cheaper at fuel stop, spencer will get MORE gas from fuel stop with his money.
hope this helped
If the gas prices haven't changed, will Spencer be able to get more gas at Fuel Stop than at Gas World
What is Number system?A number system is defined as a system of writing to express numbers.
Given,
Spencer bought gas for his four-wheeler from Gas World on Saturday
He bought the same amount of gas from Fuel Stop for less money on Sunday
Now, Spencer has $20 to spend on gas for his car.
since the gas cost less money at fuel stop, the gas is cheaper at fuel stop at gas world. spencer has $20 to spend on gas for his car at fuel stop. since the gas is cheaper at fuel stop, spencer will get MORE gas from fuel stop with his money.
Hence if the gas prices haven't changed, will Spencer be able to get more gas at Fuel Stop than at Gas World
To learn more on Number system click:
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A mom mixes 9 ounces of juice with 3 ounces of water. What present of the drank is juice?
Answer:
6 ounces of juice
Step-by-step explanation:
Answer:
12 ounces
Step-by-step explanation:
A mom mixes 9 ounces of juice with 3 ounces of water. This means that the total ounces of drink= 9+3 = 12 ounces. The percent of the drink which is juice is: Ratio of the quantity of juice to the total quantity of drink and multiplying this obtained quantity by 100.
Help please anyone you guys are the best
Answer:
C
Step-by-step explanation:
5356/20 is 267.8
that adds up to 4 hours and 28 minutes
Have a great day.. Merry christmas and can i plz hav brainliest?