Answer:
B. 7 miles
General Formulas and Concepts:
Algebra I
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityTerms/Coefficients
Functions
Function NotationSystems of Linear Equations
Solving methods: Substitution/EliminationStep-by-step explanation:
Step 1: Define
Identify given.
[Ralph's Walking Distance Function]: d = -6t + 10
[Joan's Bicycle Distance Function]: d = 14t
Step 2: Find Meeting Point
To find where Joan and Ralph will meet, we need to find where they intersect. Therefore, we need to find the time which they both meet up at. To do this, we can use the process of substitution to find our value of t:
[Equation 1] Substitute in d:From here, we can simply use techniques listed under "Algebra I" to solve for t:
[tex]\displaystyle\begin{aligned}14t & = -6t + 10 \\20t & = 10 \\t & = \boxed{ \frac{1}{2} } \\\end{aligned}[/tex]
∴ both Joan and Ralph will meet up in half an hour, or 0.5 hours.
Step 3: Find Mileage
To find how many miles they will meet up at, we substitute the number of hours elapsed (found in Step 2) and substitute it into any of the equations given:
[tex]\displaystyle\begin{aligned}d & = 14t \\& = 14 \bigg( \frac{1}{2} \bigg) \\& = \boxed{7} \\\end{aligned}[/tex]
∴ Joan will meet Ralph after 7 miles.
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Learn more about Algebra I: https://brainly.com/question/10405469
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Topic: Algebra I
The answer is B. 7 miles. Joan and Ralph meet when their distances are equal. By solving the distance equations, we find they meet after 7 miles.
To establish where Joan will meet Ralph, we must find the time when their distances are equal. We equate their distance equations: d = -6t + 10 (Ralph) and d = 14t (Joan).
Set the equations equal to each other:
-6t + 10 = 14tCombine like terms:
10 = 14t + 6t10 = 20tDivide both sides by 20:
t = 0.5Next, we substitute t = 0.5 into either of the original equations to find the distance:
Using Joan's equation: d = 14t
d = 14(0.5)d = 7So, the distance at which Joan meets Ralph is 7 miles.
Therefore, the correct answer is B. 7 miles.
The perimeter of a rectangular Swimming pool is 70 yards.It's length Is 21 yards Which of the following Can be used to find the width? A. Width = ( 70 yd + 42 yd ) ÷ 2
B. Width = (70 yd + 42 yd ) ÷4
C. Width= (70 yd - 42 yd ) ÷4
D. Width= ( 70 yd - 42 yd ) ÷ 2
The width of the rectangular swimming pool is 14 yards.
Explanation:To find the width of the rectangular swimming pool, we can use the formula for the perimeter of a rectangle, which is P = 2(length + width). Given that the perimeter is 70 yards and the length is 21 yards, we can rearrange the formula to solve for the width:
P = 2(21 + w)
70 = 2(21 + w)
Divide both sides by 2:
35 = 21 + w
Subtract 21 from both sides:
14 = w
Therefore, the width of the swimming pool is 14 yards.
multiply 3x^2-2x and 2x^2+3x-1
Answer:
6[tex]x^{4}[/tex] + 5x³ - 9x² + 2x
Step-by-step explanation:
Given
(3x² - 2x)(2x² + 3x - 1)
Each term in the second factor is multiplied by each term in the first factor, that is
= 3x²(2x² + 3x - 1) - 2x(2x² + 3x - 1) ← distribute both parenthesis
= 6[tex]x^{4}[/tex] + 9x³ - 3x² - 4x³ - 6x² + 2x ← collect like terms
= 6[tex]x^{4}[/tex] + 5x³ - 9x² + 2x
:) Find the area of the triangle.
Factor the expression below.
4x2 - 20x + 25
Answer: (2x+5)^2
Step-by-step explanation:
Answer:
(2x-5)^2 ITS A MINUS NOT A PLUS I JUST. DID HIS ANSWER HES WRONG APEX VERAFIED
Step-by-step explanation:
Evaluate 1/2 t + 3/8 when t = 1/4
Answer:
1/2
Step-by-step explanation:
1/2 of 1/4 is 1/8
so 1/8 + 3/8 is 4/8
4/8 = 1/2
Answer:
1/2
Step-by-step explanation:
1/2t +3/8
Replace t with 1/4
1/2 x 1/4 + 3/8 (the x is the multiplication symbol)
Then multiply 1/2 and 1/4
1/8 +3/8
Then add.
4/8 = 1/2
P.S.
Hope this helps you and explains the answer! Have a great day and stay safe!
Does the point (5, 10) satisfy the inequality y>x+5
If 5 friends want to share 1.25 of pizza evenly, how much pizza would each person get?
Answer:
0.25
Explanation: To divide a decimal number by a whole number, long divide as you would with two whole numbers, but put the decimal point in the answer at the same place it is at in the dividend. If it does not divide evenly, add a 0 to the end of the dividend and continue dividing until there is no remainder.
Denise had a bag full of 24 cubes consisting of red, blue, and black cubes. She concluded that
the probability of picking a blue cube from the bag without looking is neither a likely nor an
unlikely event. How many blue cubes could there be in the bag?
А 3
B 8
с 12
D 20
Answer:
I think it is 12
Step-by-step explanation:
hidoes anybody know answer please
Answer:
0,1,2,3,4 any of those would work and be less then 50
Step-by-step explanation:
Can someone please help me with this?
Answer:
a. 3, 100 degrees
- I know 6 is 100 degrees and angle 3 is identical to angle 6. Therefore, angle 3 is 100 degrees.
b. 6, 100 degrees
- Angle 3 and 6 are identical. This means angle 6 is 100 degrees.
c. 4, 80
- Knowing a straight line is 180 degrees and all other angles are 100 degrees, I subtracted 180-100 = 80 degrees
Step-by-step explanation:
Everything was explained above, but be sure to know...
N
W E
S
- Hope that helps! Please let me know if you need further explanation.
One period of y= cos(2x) is graphed below.
What is the domain of y=cos(2)
A
[-2, 2]
B. [0,infinity)
C. (-infinity, infinity)
D. [0, pi]
Answer:
-oo, oo
Step-by-step explanation:
what is the mean ? 2 6 9 8 6 6 3 8
Answer:
6
Step-by-step explanation:
add all up (is 48), then divide by 8
hope this helped :))
Answer:
6
Step-by-step explanation:
To find the mean
Add up all the number
(2+6+9+8+6+6+3+8) = 48
Divide by the number of numbers
48/8 = 6
In a particular game, a spinner with four equally-sized sectors labeled 1, 3, 5, and 6 is spun twice. One turn is considered 2 spins of the spinner. If the sum of the spins is even, you move backward 6 spaces. Otherwise, you move forward 2 spaces. What is the mathematical expectation for the number of spaces moved in one turn? *
Answer:
3 spaces backwards, if you still need it.
Step-by-step explanation:
The mathematical expectation for the game described is -3 spaces, indicating that on average, a player will move 3 spaces backward per turn.
Expected Value Calculation:
To calculate the mathematical expectation for the number of spaces moved in one turn in the game described, we must consider all possible sums of the two spins and their outcomes. These outcomes are moving backward 6 spaces if the sum is even, or moving forward 2 spaces if the sum is odd. With a fair four-segment spinner that has equal likelihood for landing on numbers 1, 3, 5, and 6, we can calculate each possible sum and its associated probability.
Even sum outcomes: (1+3), (1+5), (3+5), (5+1), (3+1), (5+3), (1+6), (3+6), (5+6), and (6+6).Odd sum outcomes: (1+1), (3+3), (5+5), (6+1), (6+3), and (6+5).The probability of spinning an even sum is the number of even outcomes divided by the total number of outcomes (10/16). Similarly, the probability of spinning an odd sum is the number of odd outcomes divided by the total number of outcomes (6/16).
The expected value of moving spaces is therefore calculated by multiplying each sum outcome probability by the spaces moved for that outcome, and then summing these products:
Expected value = (Probability of even sum * -6 spaces) + (Probability of odd sum * 2 spaces)
= (10/16 * -6) + (6/16 * 2)
= (-60/16) + (12/16)
= (-48/16)
= -3
Thus, the mathematical expectation for the number of spaces moved in one turn is -3 spaces.
A pizzeria sells 452 pizzas in a day .The price for a pizza is £5.45 and the costs per pizza is £3.05.Calculate the profit if this pizzeria opens for 6 days in the week
Answer:
$807.554098
Step-by-step explanation:
Answer:
Profit is PRICE — COST
so;
[tex]452(5.45 - 3.05) \times 6[/tex]
hope u understand!
Which triangle side lengths form a right triangle? Choose all that apply.
5,6,7
6,8,14
8.15, 17
10, 12, 15
15,20.25
16, 18, 20
Answer:
all
Step-by-step explanation:
Written as a simplified polynomial in standard form, what is the result when
(2x-8)^2 is subtracted from 3x?
Answer:
- 2x² + 3x + 64
Step-by-step explanation:
3x - (2x-8)² Write the equation and distribute the exponent
3x - 2x² + 64 Write the equation in order of degree of exponents, or standard form
- 2x² + 3x + 64
the result of the polynomial when [tex](2x-8)^2[/tex]is subtracted from [tex]3x[/tex] is
[tex]-4x^2+35x-64[/tex]
Given :
We need to simplify when [tex](2x-8)^2[/tex]is subtracted from [tex]3x[/tex]
Lets subtract[tex](2x-8)^2[/tex] is subtracted from [tex]3x[/tex]
we write the expression as
[tex]3x-(2x-8)^2[/tex]
Now we expand the square
[tex]3x-(2x-8)^2\\3x-(2x-8)(2x-8)\\3x-(4x^2-16x-16x+64)\\3x-4x^2+16x+16x-64\\-4x^2+35x-64[/tex]
The simplified polynomial is
[tex]-4x^2+35x-64[/tex]
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A square with diagonals is shown. The distance from one point to the middle point is 3. The length from the center point to another point is 3. What is the approximate side length of the square?
Answer:
4.24
Step-by-step explanation:
Since it is the midpoint, it means that the entire diagonal will measure twice, that is 3 * 2 = 6
To calculate the length of the sides, we can do it by means of Pythagoras, since it is a square a = b
c ^ 2 = a ^ 2 + b ^ 2
c ^ 2 = 2 * a ^ 2
6 ^ 2 = 2 * a ^ 2
a ^ 2 = 36/2
a = 4.24
therefore, it means that the sides of the square measure 4.24
Answer:
Answer: C (3rd option)
Step-by-step explanation:
E2020
How could you find the area of the parallelogram
Answer:
24
Step-by-step explanation:
Multiply the base by the height
Base:8
Height:3
To find the base..... Count the amount of grid squares on the bottom of the parallelogram.
To find the height.... Count the amount of grid squares on the side of the parallelogram.
I hope I've helped! Please leave a Thanks and Vote.
What is the solution to the equation 2x+4 – 12 = 20?
N
X=2
X=9
Answer:
x=1 .
Step-by-step explanation:
b on edge 2020
evalulate 3*5-2*(3+2)
Answer:
5
Step-by-step explanation:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Following the order, first is parenthesis:
3 · 5 - 2(5)
Multiplication:
15 - 10
5
According to one survey, 25% of high school
students reported that they would not get summer
jobs. Predict how many of the 948 students at
Mohawk High School will not get summer jobs.
Answer:
237
Step-by-step explanation:
25/100 = x/948, simplify to get 1/4 = x/948
cross multiply and get 948=4x
swap the sides and get 4x=948
divide both sides by 4 and get x=237
in conclusion 237 students won't get summer jobs.
About 237 students at Mohawk High School are predicted not to get summer jobs based on applying the survey percentage of 25% to the total student population of 948.
Explanation:To predict how many students at Mohawk High School will not get summer jobs, we use the percentage from the survey and apply it to the total number of students at the school. According to the survey, 25% of high school students reported that they would not get summer jobs. Mohawk High School has a total of 948 students.
To find the number of students who will not get summer jobs, we perform the following calculation:
Percentage not working = 25%Total students = 948 studentsStudents not working = Total students × Percentage not working = 948 × 0.25Students not working = 237 studentsThus, we predict that about 237 students at Mohawk High School will not get summer jobs.
Which scenario is the BEST example of how the government would act in a mixed market economy?
The government requires a factory to produce surplus goods for the use of
the military.
The government stops a factory from producing imitations of an expensive
type of purse.
The government allows only two competitors to offer goods for sale on the
country's highways.
The government imposes a limit on the number of television sets that can
be exported annually.
In a mixed market economy, which typically combines elements of both market and government intervention, the BEST example is the government imposes a limit on the number of television sets that can be exported annually. Here option D is correct.
This scenario reflects a government intervention aimed at managing international trade and protecting domestic industries. By imposing export limits on television sets, the government can regulate the flow of goods, balance trade, and potentially safeguard local industries from excessive foreign competition.
This intervention allows for a controlled market environment while still allowing private enterprises to operate. Unlike the other options, this scenario demonstrates a strategic use of government intervention to achieve economic objectives without completely dominating the market or infringing on individual business operations.
It showcases a balance between free-market principles and government oversight, characteristic of a mixed market economy. Here option D is correct.
Complete question:
Which scenario is the BEST example of how the government would act in a mixed market economy?
A - The government requires a factory to produce surplus goods for the use of the military.
B - The government stops a factory from producing imitations of an expensive type of purse.
C - The government allows only two competitors to offer goods for sale on the country's highways.
D - The government imposes a limit on the number of television sets that can be exported annually.
What is the simplified expression that is equivalent to (3x^3)^2 . (25x^6)1/2 ?
Answer:
9x⁵ · 25x⁶
Step-by-step explanation:
(3x³)²·(25x⁶)·[tex]\frac{1}{2}[/tex] =9x⁵ · 25x⁶
Please mark me as the brainliest
Final answer:
The simplified expression equivalent to ((3x^3)^2 · (25x^6)^{1/2}) is 45x^9. This is obtained by applying exponent rules, such as power to a power and multiplying terms with the same base resulting in the addition of their exponents.
Explanation:
The expression in question is (3x^3)^2 · (25x^6)^{1/2}. To simplify this expression, we need to apply the exponent rules. When we raise a power to a power as in (a^m)^n, the exponents are multiplied, so (3x^3)^2 becomes 3^2 · x^{3×2}, which simplifies to 9x^6.
Next, taking the square root, which is the same as raising to the power of 1/2, we apply it to (25x^6)^{1/2}. The square root of 25 is 5, and raising x^6 to the 1/2 power gives x^{6×1/2}, or x^3. Therefore, we have 5x^3 as the simplified result of (25x^6)^{1/2}.
Multiplying these results together, we combine 9x^6 and 5x^3. When we multiply terms with the same base, we add their exponents, therefore we get 9×5 · x^{6+3}, resulting in 45x^9.
Find the exact area of a triangle with two sides that measure 6 yd and 2 yd with an included
angle of 10°
Answer:
1 yd^2
Step-by-step explanation
A=1/2(2)(6)Sin(10)
Final answer:
The area of a triangle with sides of 6 yd and 2 yd and an included angle of 10° is approximately 1.0439 square yards.
Explanation:
To find the exact area of a triangle with two sides measuring 6 yd and 2 yd and an included angle of 10°, you can use the formula for the area of a triangle when two sides and the included angle are known: A = ½ ab × sin(C), where a and b are the sides and C is the included angle.
The calculation will be: A = ½ × 6 yd × 2 yd × sin(10°). Using a calculator with the sine function set to degrees, we find that sin(10°) ≈ 0.17365. Therefore, the area A is approximately: A = ½ × 6 yd × 2 yd × 0.17365 ≈ 1.0439 yd².
Thus, the exact area of the given triangle is approximately 1.0439 square yards.
A company mixes two kinds of cleansers to get a blend they sell for 59 cents a liter. One of the cleansers costs 50 cents per liter, and the other 80 cents per liter. How much of each kind should be mixed to get 2,000 liters of the blend?
Answer:
Cleanser that costs 50 cents is 1400 liters, Cleanser that costs 80 cents is 600 liters.
Step-by-step explanation:
We can solve this by using simultaneous equations:
Let us express the question in terms of equationsLet a be cleanser at 50 cents and let b be the cleanser at 80 cents.
Equation 1: 0.5a + 0.8b = 0.59(a+b)
Equation 2: a + b = 2000
From equation 2, a = 2000 - b (Let's call this equation 3)
2. Substituting equations 2 and 3 in Equation 1:
0.5a + 0.8b = 0.59(a+b)
0.5(2000 - b) + 0.8b = 0.59(2000)
1000 - 0.5b + 0.8b = 1180
0.3b = 180
b = 600
Substitute in equation 3:
a = 2000 - 600
a = 1400
As a note, I formed equation 1 because I know for a fact the cost per liter of a and b. I also know it is sold at 0.59 cents per liter. We are selling 2000 liters in this instance, therefore 0.59(2000) = 1180, which in this case is the selling price.
Final answer:
To create 2,000 liters of a cleanser blend sold at 59 cents per liter, the company should mix 800 liters of the 50-cent cleanser with 1,200 liters of the 80-cent cleanser, using a system of equations.
Explanation:
How to Mix Cleansers for a Desired Cost
To solve this problem, we need to set up a system of equations that reflects the cost and the quantity of the blend we want to obtain. Let's assign x to represent the amount in liters of the 50 cents per liter cleanser and y to represent the amount in liters of the 80 cents per liter cleanser.
Following the premise of the problem, we have two equations:
The total amount of the mixture should be 2,000 liters:
x + y = 2,000
The cost for the blend per liter is 59 cents, so the total cost for 2,000 liters would be 2,000 * $0.59. The sum of the individual costs of cleansers multiplied by their respective volumes should equal this total cost:
0.50x + 0.80y = 2,000 * $0.59
Solving this system of equations, we find that:
x = 800 liters of the 50 cents cleanser
y = 1,200 liters of the 80 cents cleanser
Thus, the company should mix 800 liters of the 50-cent cleanser with 1,200 liters of the 80-cent cleanser to obtain 2,000 liters of the blend sold for 59 cents a liter.
Lindsay bought 3 shirts for $15 each. The sales tax in Indiana is 7%. What is the total cost of her purchase?
Answer:
$48.15
Step-by-step explanation:
To work this out you will first need to work out the cost of the shirts. You can do this by multiplying 15 by 3, which gives you 45. The next step is to work out the percentages, however there are two methods you can use. Method 1 is easier and involves directly calculating the total. While Method 2 is to use the traditional method of working out the percentage and then adding it to the price of the shirts.
1) Multiply 15 by 3.
[tex]15*3=45[/tex]
Method 1:
The first step for method 1 involves converting the percentage into a decimal. You can do this by dividing 7 by 100, which gives you 0.07. This is because percentages are out of 100. the next step is to add 1 to 0.07, which is 1.07. This is because we are increasing the amount by 7%. You would then multiply 45 by 1.07, which gives you $48.15.
1) Divide 7 by 100.
[tex]7/100=0.07[/tex]
2) Add 1 to 0.07.
[tex]0.07+1=1.07[/tex]
3) Multiply 45 by 1.07.
[tex]45*1.07=48.15[/tex]
Method 2:
The first step for the second method you would first need to divide the percentage of 7 by 100, which gives you 0.07. Then you would multiply that by the amount of 45, which gives you 3.15. Then you would add 3.15 to 45, which gives you $48.15
1) Divide 7 by 100.
[tex]7/100=0.07[/tex]
2) Multiply 0.07 by 45.
[tex]0.07*45=3.15[/tex]
3) Add 3.15 to 45.
[tex]3.14+45=48.15[/tex]
What is the constant rate of change in the function y=5x? *
a.1/5
b.x
c.5
d.1
This is the same as the slope because this is a linear equation
y = 5x is the same as y = 5x+0 which compares to y = mx+b
m = 5 is the slope = rate of change
b = 0 is the y intercept = starting amount
-1.5x + 2.5y + 3 = 0 6x - 10y + 6 = 0
Which statement about the pair of equations is true?
A) The equation pair has no solutions.
B) The equation pair has exactly 1 solution.
C) The equation pair has exactly 2 solutions.
D) The equation pair has infinitely many solutions.
Answer:
c
Step-by-step explanation:
hope it help
Answer:
i think the answer is B
Step-by-step explanation:
10.
The ratio of boys to girls in Mrs. Harrison's math classes is 5:7. If there are 120 students in an
of her classes, how many are boys.
Answer:
50 Boys
70 Girls
Step-by-step explanation:
Lets take the no. of boys = 5x
and girls = 7x
Total no. of students in ratio = 12x
Total no of students = 120
Therefore, 12x = 120
x = 10
So, no. of boys = 5x = 5*10 = 50
No. of girls = 7x = 7*10 = 70
please, solve for x!
Answer:
I want brainliest!!! :)
Step-by-step explanation:
That angle is 90 degrees
x+18+x=90
2x=72
x=36