Vivian and her dad travelled for a total distance of 12 miles
How to determine how far they travelFrom the question, we have the following parameters that can be used in our computation:
Time taken = 4 hours
Rate of travel = 3 miles per hour
The distance travelled can be calculated using the following equation
Distance = Rate of travel * Time taken
Substitute the known values in the above equation, so, we have the following representation
Distance = 3 miles per hour * 4 hours
Evaluate the product
So, we have the following representation
Distance = 12 miles
Hence, the distance is 12 miles
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Complete question
Vivian and her dad drive 4 hours to the rock and roll hall of fame in Cleveland, Ohio. if they drive at the same rate how far do they travel if the rate is 3 miles per hour
kiran wants to make a larger scale drawing of the same classroom which of these aclales could he use
htx
Kiran would choose scale of 1 to 50.
What is Scale Factor?To adjust the size of a figure without altering its shape, a scale factor is a number or conversion factor that is utilised. It is employed to change the size of an object. If the original figure's dimensions and the dilated (increased or lowered) figure's dimensions are known, the scale factor can be determined.
Given:
As, The scale “1 inch to 6 feet” is equivalent to the scale “1 to 72,” because there are 72 inches in 6 feet.
The scale “1 to 100” would make a scale drawing that is smaller than the scale “1 to 72,” because each inch on the new drawing would represent more actual length.
The scale “1 to 50” would make a scale drawing that is larger than the scale “1 to 72,” because Kiran would need more inches on the drawing to represent the same actual length.
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The options are as follow:
1 to 50
1 to 72
1 to 100
At the gift shop entrance, fans go
through security at a rate of 15 people in
25 seconds. At that rate, approximately
how many people will go through security
in 135 seconds?
In how many ways can Harold, Steve, John, Roslyn, Marian and Connie line up so that no two of Harold, Steve and John are next to each other ?
There are four general arrangents of boy/girl to consider:
BGBGBG, GBGBGB, BGGBGB, and BGBGGB.
For any one of these four basic arrangements, the boys can be
rearranged (permuted) among themselves in 3 × 2 × 1 = 6 different
ways. Similarly, the three girls can be rearranged among
themselves in 6 ways. Since the boys and girls can be rearranged
independently, the number of ways to create any one of the four
basic arrangements is 6 × 6 = 36.
So the total number of ways that 3 boys and 3 girls can line up so
that no two of the three boys are next to each other is
4 × 36 = 144 .
The total number of ways that 3 boys and 3 girls can line up so that no two of the three boys are next to each other is found to be as 144 .
It is given that there are four general arrangements of boys and girls,
Here, the boys can be arranged or rearranged (permuted) among themselves in a total of , 3 × 2 × 1 = 6 different ways.
Similarly, the three girls can be rearranged among
themselves in 6 ways.
We are given that both the groups can arrange themselves independently .
Therefore, the number of ways to create any one of the four basic arrangements is 6 × 6 = 36.
Therefore, the number of ways to arrange them is ,
4 × 36 = 144 .
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By choosing an appropriate line, use the
diagram to estimate the solutions to these
simultaneous equations:
2
y = -x +1.5
y = 1.5x2.5
So on solving the provided question, here we can say that by is a simultaneous equations the value of x = - 3/5 and y = 9/10
What is the simultaneous equation formula?Multiple algebraic equations that have the same unknowna as the give in the variables and the same answer are referred to as simultaneous equations. This suggests that there is a single solution to the simultaneous equations. Examples of simultaneous equations include: 2x - 4y = 4, 5x + 8y = 3, and others. This implies that the simultaneous equations have a single solution. The simultaneous equations 2x - 4y = 4, 5x + 8y = 3, and others are examples.
y = -x + 1.5
y = 1.5x + 2.5
x = -3/5
y = 9/10
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Simplify as far as possible. 2 √ 3 + 2 √ 27
The required simplified solution of the given expression is 8√3.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Given expression,
= 2 √ 3 + 2 √ 27
Since √27 = 3√3
= 2√3 + 2× 3√3
= √3 [2 + 6]
= √3[8]
= 8√3
Thus, the required simplified solution of the given expression is 8√3.
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15 points...................................
Answer: D
Step-by-step explanation:
The statement says that the angles GIH and QRS must be the same measurement. To show that on diagrams, we use markings : if angles have the same markings, then it means they have the same measurement.
That way, we just need to see which diagram has the right measurements.
First, the angles GIH and QRS are the angles we see named by the letter in the center : then GIH and QRS.
So it must be the angles with letters of I and R that have the same markings.
A : doesn't work for I and R
B : doesn't work for I and R
C : doesn't work for I and R
D : works for I and R
it should be the D, of course if I didn't see well don't hesitate to make sure it's correct with what I said before :)
Answer:
the answer would be D
Step-by-step explanation:
the answer is D because of the person above me
A corporation earned a profit of $2.5 x 104 for 1 x 10³ days in a row. What was the corporation's total profi
during this time period?
Total profit earned = 25000000 dollars
What is profit?Profit is a financial achievement which is the difference between the amount of money or resources people earned and the amount is spent in various purpose. In case of a business organization, the difference between production and cost is termed as profit. Let, someone invested money for operating business, he needs to spend money for workers, for the welfare of business and after all these he has amount that comes from business that is called profit.
What is the total profit during this time period?Given, profit earned = $ 2.5 × 10⁴ in the 1×10³ days in a row
total profit earned during this time = $(2.5 × 10⁴ × 10³)
$2.5 × 10⁷
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5/6 long division from math
Answer: 0.8333
Step-by-step explanation:
help help help help help
Jessica is wanting to buy a 10.00 box of candy. The sales tax is 5%. How much is the total for the candy?
$15.00
$12.00
$11.00
$10.50
Answer: To find the total cost of the candy including the sales tax, we first need to calculate the amount of tax by multiplying the cost of the candy by the tax rate.
The cost of the candy is 10.00.
The tax rate is 5%, which can be written as 0.05.
The total cost of the candy would be
10 + (10*0.05) = 10+0.5 = 10.50
So the correct answer is $10.50.
Step-by-step explanation:
7. Communicate and justify Janice is dividing
1.926. Why does she exchange the
place-value blocks shown for 18 tenths and
12 hundredths?
The answers to these partial divisions add up to 30 + 2 = 32, or 192/6. We can calculate the solution by dividing 32 by 100, or 0.32, to get 1.92/6.
What do we mean by an exchange?The formula for computing 1.92 divided by 6 is 1.92 multiplied by 100, divided by 100, and then multiplied by 1.92. There are 18 tenths and 12 ones in 1.92*100 = 192, which is the result. Due to the fact that both 18 and 12 are multiples of 6, this representation is practical.
Then, we can divide 18 tenths by six to get three tenths (30), and we can divide 12 ones by six to get two ones (2). 30 + 2 = 32, or 192/6, is the result of adding the answers to these partial divisions. To get 1.92/6, divide 32 by 100, which is 0.32, and that gives us the answer.
The complete question is:
Janice is dividing 1.92 divided by 6. Why does she exchange the place value blocks shown for 18 tenths and 12 ones ?
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The answers to these partial divisions add up to 30 + 2 = 32, or 192/6. We can calculate the solution by dividing 32 by 100, or 0.32, to get 1.92/6.
What do we mean by an exchange?The formula for computing 1.92 divided by 6 is 1.92 multiplied by 100, divided by 100, and then multiplied by 1.92. There are 18 tenths and 12 ones in 1.92*100 = 192, which is the result. Due to the fact that both 18 and 12 are multiples of 6, this representation is practical.
Then, we can divide 18 tenths by six to get three tenths (30), and we can divide 12 ones by six to get two ones (2). 30 + 2 = 32, or 192/6, is the result of adding the answers to these partial divisions. To get 1.92/6, divide 32 by 100, which is 0.32, and that gives us the answer.
The complete question is:
Janice is dividing 1.92 divided by 6. Why does she exchange the place value blocks shown for 18 tenths and 12 ones ?
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Each league plays 80 games in a month.
Based on the mean from the sample, how many more goals will be scored in the English League than in the French League in a month?
Answer:
Step-by-step explanation:
the answer is 152
What is the x-intercept of 2x y =- 4?
The x-intercept will be -2.
Now, According to the question:
How do you find the x-intercept?
To find the x-intercept we set y = 0 and solve the equation for x. This is because when y=0 the line crosses the x-axis. When an equation is not in y = mx + b form, we can solve for the intercepts by plugging in 0 as needed and solving for the remaining variable. To find y-intercept: set x = 0 and solve for y.
Here the equation is 2x-y = -4.
For finding the x-intercept
let us put the value of y as 0 we get,
2x−0=−4
⇒2x=−4 .
Dividing both sides by 2 we get,
2x2=−4/2⇒x=−2 .
Therefore, the x-intercept is -2.
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passes through (6,6) and (-2,2)
Answer: 1/2 is the slope.
Step-by-step explanation: (-2-6)/(2-6) = -8/-4
-8/-4 Simplified is 1/2
Therefore 1/2 is your slope
Hope this helps!
is y = x proportional
Answer:
yes
Step-by-step explanation:
Nic borrowed $350 to buy a bow. The finance charge on the loan was $25 and the
term on the loan was 45 days. What was the APR for Nic's loan?
1 pts
In answering the question, we discovered that a sample size of 20 was required in order to reach this conclusion.
How big a sample is it?The sample size is the number of observations used to estimate a certain population. The population was used to determine the sample size.
The act of promoting a product to increase sales is known as advertising. Based on the scenario given, the advertisement is misleading for the following reasons:
For this finding to be reliable, a sample size of 20 samples is rather small. Although the company was aware that the fertilizer treatment might get rid of weeds in approximately 2 weeks, customers said it would take 4 weeks for all of the weeds to die.
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How many variable terms are in the expression 3x3y 5x2 Y 9?
The variable terms in the expression 3[tex]x^{3}[/tex]y + 5[tex]x^{2}[/tex] + y + 9 are [tex]x^{3}[/tex]y, [tex]x^{2}[/tex], and y.
The expression provided is
3[tex]x^{3}[/tex]y + 5[tex]x^{2}[/tex] + y + 9
In the expression, each variable is represented by a letter.
Let's look at the variables for each term.
The variable in the first term, 3[tex]x^{3}[/tex]y, is [tex]x^{3}[/tex]y.
The variable in the second term, 5[tex]x^{2}[/tex] , is [tex]x^{2}[/tex] .
Y is the variable in the third term.
There is no variable in term 9's final equation.
The variables in the expression are [tex]x^{3}[/tex]y, [tex]x^{2}[/tex] , and y.
As a result, the variables [tex]x^{3}[/tex] and y are the variable terms.
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A newsletter publisher believes that more than 47% of their readers own a personal computer. Is there sufficient evidence at the 0.05 level to substantiate the publisher's claim?
There is no sufficient evidence that we can use in order to substantiate the claim of the publisher,
How to write the hypothesisThe null hypothesis H0: p = 0.47
The alternative hypothesis is H1: p > 0.47
The question requires us to test the fact that more than 47 percent of the readers have their own personal computer. This is therefore the claim that is to be tested here.
There is no sufficient evidence to substantiate the claim because of the lack of certain details that would have been used to carry out the hypothesis test.
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Cheng likes a modern lawn sculpture made of four identical solid right pyramids with square bases. He decides to create an exact copy of the sculpture, so he needs to know what volume of sculpting material to purchase. He measures each edge of each base to be 2 feet. The height of the whole sculpture is 6 feet. What is the volume of material he must purchase
So Cheng must purchase 32 cubic feet of sculpting material.
Each pyramid has a square base with edge length of 2 feet and a height of 6 feet. The area of the square base is (2 feet)^2 = 4 square feet. The volume of each pyramid is 1/3 * base area * height = 1/3 * 4 square feet * 6 feet = 8 cubic feet.
Since there are four identical pyramids in the sculpture, the total volume of material needed to create the sculpture is 4 * 8 cubic feet = 32 cubic feet. So Cheng must purchase 32 cubic feet of sculpting material.
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Answer:
D
Step-by-step explanation:
Nicole randomly selects a red card from a standard deck of cards. What outcome is the complement of drawing a red card?
Selecting an ace
Selecting a heart
Selecting a face card
Selecting a black card
The complement of the event: "drawing a red card" is the last option:
"Selecting a black card"
What outcome is the complement of drawing a red card?The complement of an event is the set of all the outcomes such that the original event is false.
For example, the complement of drawing a red card, would be "not drawing a red card"
We know that there are two types of coloes, black and red.
Then "drawing a black card" is equivalent to "not drawing a red card"
Thus, the complement is the last option:
"Selecting a black card"
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What is: 1 2/3 + 1 7/6 =
Answer:
Step-by-step explanation:
12/3=24/6
then, 24/6+17/6=41/6
Zendaya has $540 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $269.88.
She buys 4 bicycle reflectors for $10.57 each and a pair of bike gloves for $17.76.
She plans to spend some or all of the money she has left to buy new biking outfits for $65.65 each.
Write and solve an inequality which can be used to determine
x
x, the number of outfits Zendaya can purchase while staying within her budget.
Plsss help!!
Answer:
269.88 +4(10.57) +17.76 +65.65x ≤ 540x ≤ 3.2; 3 outfits or lessStep-by-step explanation:
After spending $269.88, 4 times $10.57, and $17.76 of her $540 budget, you want to know how many (x) outfits Zendaya can buy at $65.65 each.
InequalityThe total of Zendaya's spending must be no more than her budget amount:
269.88 +4(10.57) +17.76 +65.65x ≤ 540
SolutionSimplifying the inequality gives ...
329.92 +65.65x ≤ 540
65.65x ≤ 210.08 . . . . . . . . . . subtract 329.92
x ≤ 3.2 . . . . . . . . . . . . . divide by 65.65
Zendaya can purchase up to 3 outfits while staying within her budget.
73. Angle of elevation: In 2001, the tallest building in the world was the Petronas Tower
in Kuala Lumpur, Malaysia. For a person standing 25.9 ft from the base of the tower.
the angle of elevation to the top of the tower is 89°. How tall is the Petronas tower?
Analo
The Petronas tower is 1483.811 feet tall.
What is tangent function?One of the six fundamental functions in trigonometry is the tangent function. As stated, Tan A = Opposite Side/Adjacent Side is the Tangent Formula. Tangent may be modeled using sine and cosine as follows: Tan A = Sin A / Cos A.
Given:
Angle of elevation: In 2001, the tallest building in the world was the Petronas Tower in Kuala Lumpur, Malaysia.
For a person standing 25.9 ft from the base of the tower.
The angle of elevation to the top of the tower is 89°.
Let c = height of the tower,
and a = distance from the base of the tower to x.
a = 25.9 feet.
The formula:
Tangent (angle) = opposite side / adjacent side.
tan89° = c / a
57.29 = c / 25.9
c = 57.29 x 25.9
c = 1483.811 feet
Therefore, 1483.811 feet is the height of the Petronas tower.
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What are the 3 names of angles?
Angles are classified into three. They are acute angles, obtuse angle and right angle.
Therefore the three names of angles are - acute angles, obtuse angle and right angle.
Acute angles are angles that measure less than 90 degrees. They are smaller than a right angle and are often described as "sharp."
Right angles are angles that measure exactly 90 degrees. They are often represented by a square corner or the letter "L" shape.
Obtuse angles are angles that measure greater than 90 degrees but less than 180 degrees. They are larger than a right angle and are often described as "blunt."
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how do i graph for this, i struggle
The equation of line passes through the point (2, 3) will be;
⇒ y = 1/2x + 2
And, Graph of this equation of line is shown in figure.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The point on the line are (2, 3).
And, The perpendicular line is,
⇒ y - 4 = - 2 (x + 3)
⇒ y - 4 = - 2x - 6
⇒ y = - 2x - 2
Now,
Since, The equation of line passes through the point (2, 3).
So, We need to find the slope of the line.
Since, The product of slope of the perpendicular line is - 1.
Hence, Slope of the given perpendicular line is,
⇒ y = - 2x - 2
m = dy/dx = - 2
m = - 2
So, The slope of line is,
⇒ m₂ = - 1/m
= 1/2
Thus, The equation of line with slope 1/2 is,
⇒ y - 3 = 1/2 (x - 2)
⇒ y - 3 = 1/2 (x - 2)
⇒ y - 3 = 1/2x - 1
⇒ y = 1/2x - 1 + 3
⇒ y = 1/2x + 2
Therefore, The equation of line passes through the point (2, 3) will be;
⇒ y = 1/2x + 2
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please answer all 3 questions thank you~!!!!
Answer:
X of M is 6, Y of M is 4, Pair is (6,4)
Step-by-step explanation:
M = 6
M = 4
M (6,4)
Triangle STU is a right triangle.
Write an equation that relates the lengths of sides s, t, and u? (5 points)
Multiply.
Your answer should be a monomial in standard form.
{(4z^3)(-3z^3)}=(4z
3
)(−3z
3
)
The required simplified expression as a monomial is given as -12[z⁶].
What is a polynomial function?A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the monomial, binomial and trinomial, etc. ax+b is a polynomial.
here,
Given an expression, the outcome of the multiplicative depression will be an expression of a monomial.
= [4z³][-3z³]
= 4 × 3 [-z ³⁺³]
= -12[z⁶]
Thus, the required simplified expression as a monomial is given as -12[z⁶].
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Phyllis invested $10,500, a portion earning a simple interest rate of
3 1/2% per year and the rest earning a rate of 3% per year. After one year the total interest earned on these investments was $352. 50. How much money did she invest at each rate?
Please answer ASAP
The money invested by Phyllis with simple interest rate 3 1/2% and 3% per year is given by $7500 , and $3,000 respectively.
As given in the question,
Total amount with Phyllis is equal to $10,500
Let 'x' be the portion of Phyllis earning invested with 3 1/2% per year simple interest rate
Then $( 10,500 - x ) invested by Phyllis with simple interest rate 3% per year
Total interest earned by the investment = $352.50
0.035x + 0.03( 10,500 - x ) = $352.50
⇒0.035x + 315 - 0.03x = 352.50
⇒0.005x = 352.50 - 315
⇒0.005x = 37.5
⇒x = $7500
and $( 10,500 - x ) = $( 10,500 - 7500 )
= $ 3,000
Therefore, the amount of invested with simple interest rate 3 1/2% per year and 3% is equal to $7500 and $3,000 respectively.
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Estimate how many times larger 1.9 • 10^-8 is than 4.2 • 10^-13
Answer:
Step-by-step explanation:
a.[tex]1.9[/tex]·[tex]10^{-8}[/tex]=190000·[tex]10^{-13}[/tex]
b.so 190000÷4.2=4523
c.finally, about 4523 times