A mail truck traveled 82 miles in 412 hours. The distance is the product of the rate and the time. To the nearest tenth, what was the average speed of the mail truck?
Answer:
18.2
Step-by-step explanation:
Sorry if I'm bothering you! But can you guys figure out this problem for me? "A car travels at 65 miles per hour. Going through Construction, it travels 3/5 this speed. Write this fraction as a decimal and find the speed.
Thanks,
-Laura B.
give an example of an addition problem in which you would and would not group the addends differently to add
What is the solution of the system? Use substitution. x = –2y + 10 –6y = 6x – 6 z = –3x + 10y
To solve the given system of equations using substitution, we'll start by solving the first equation for x in terms of y. We'll substitute this expression for x in the other two equations to find the values of y and z.
Explanation:To solve the given system of equations using substitution, we'll start by solving the first equation for x in terms of y: x = -2y + 10. We'll substitute this expression for x in the other two equations to find the values of y and z. Substituting -2y + 10 for x in the second equation, we have -6y = 6(-2y + 10) - 6.
Simplifying this equation, we get y = -2. Substituting y = -2 in the first equation, we find x = -2*(-2) + 10 = 14. Finally, substituting x = 14 and y = -2 in the third equation, we find z = -3*14 + 10*(-2) = -52.
Yolanda walks 1.5km every day. How far does she walk in 9 days? Write your answer in meters.
Using place value to alter the amount of 194753 by two thousand
Exact product of 379 and 8
-4(c)+5=-6-30????????????????
Answer to this problem
find two consecutive odd integers such that 54 more than the lesser is five times the greater
which of the following describes a simple event ?
A. Tossing a coin 5 times and getting heads twice
B. spinning "back 2spaces" on a spinner
C. Spinning “back 2 spaces” on a spinner and drawing a blue or red marble from a box
D. Rolling an odd number on a die and getting tails on the toss of a coin
Option B, spinning "back 2 spaces" on a spinner, describes a simple event as it represents a single outcome from the experiment, in contrast to the other options which describe compound events.
A simple event is an event that consists of a single outcome of an experiment. When tossing a coin 5 times and getting heads twice, we're looking at a compound event because it involves a combination of outcomes. In the options given, option B, spinning "back 2 spaces" on a spinner represents a simple event because it describes a single outcome that can occur from the experiment. The other options involve multiple outcomes or combinations and are therefore not simple events.
Considering the additional information provided:
Coin tosses and the outcomes of 5 coin tosses just give us a set of possible results which help illustrate compound events. The idea of grouping real world observations into outcomes or events shows us that a simple event is a single, specific outcome, such as getting an even number when rolling a die, which can be defined as an event with a single characteristic and has a calculable probability.
Decimals from 7.0 to 8.4, with an interval of 0.2 between each pair of decimals
will give BRAINEST
Use the elimination method to solve the system of equations. Choose the correct ordered pair.
What is the sum of the geometric series in which a1 = 4, r = 3, and an = 324?
Hint: cap s sub n equals start fraction a sub one left parenthesis one minus r to the power of n end power right parenthesis over one minus r end fraction comma r ≠ 1, where a1 is the first term and r is the common ratio.
The sum of the geometric series is approximately 324.
Explanation:The sum of a geometric series can be found using the formula:
Sn = a1(1 - rn) / (1 - r)
Where Sn is the sum of the series, a1 is the first term, r is the common ratio, and n is the number of terms.
Plugging in the given values, we have:
Sn = 4(1 - 3n) / (1 - 3)
Now we can solve for n by plugging in the given value of an:
324 = 4(1 - 3n) / (1 - 3)
Cross-multiplying and simplifying:
324(1 - 3) = 4(1 - 3n)
324 - 972 = 4 - 12n
-648 = -8n
Dividing both sides by -8, we get:
81 = 2n
Taking the logarithm base 2 of both sides:
n = log2(81)
Using a calculator, we find that n is approximately 6.3398.
Now we can plug this value back into the formula:
Sn = 4(1 - 36.3398) / (1 - 3)
Simplifying further:
Sn ≈ -648 / -2
Sn ≈ 324
Niko bought 4 stamps each week for 3 weeks. He wants to put 6 stamps on each page of his album how many pages will niko use
the sum of three consecutive integers is 63 find the three integers
663/3 = 21
21 is the middle number,
21+1 = 22
21-1 = 20
20 + 21 + 22 = 63
Our three consecutive integers can be represented as
X → first integer
X + 1 → second integer
X + 2 → third integer
If the sum of our three consecutive integers is 63, our equation will read...
X + X + 1 + X + 2 = 63
Now, we can simplify on the left. Once we simplify, our equation will now read
3x + 3 = 63
-3 -3 ← subtract 3 on both sides
3x = 60 ← divide both sides by 3
X = 20
Our three consecutive integers can be represented as
X → first integer = 20
X + 1 → second integer = 21
X + 2 → third integer = 22
Therefore, the three consecutive integers are 20, 21, and 22.
help me
2y = x + 2
x – 3y = –5
What fraction of £2 is 50p
The diagram shows a rhombus ABCD. The points B and D have coordinates (2, 10) and (6, 2) respectively, and A lies on the x-axis. The mid-point of BD is M. Find, by calculation, the coordinates of each of M, A and C.
The coordinates of the midpoint M, point A, and point C in the rhombus can be found using formulas. The coordinates of M are (4, 6), the coordinates of A are (0, 0), and the coordinates of C are (4, 2).
Explanation:To find the coordinates of the midpoint of BD, we can use the midpoint formula:
M = ( (x1+x2)/2, (y1+y2)/2 )
Substituting the coordinates of B and D into the formula, we get:
M = ( (2+6)/2, (10+2)/2 )
Simplifying, we get:
M = (4, 6)
Since A lies on the x-axis, its y-coordinate is 0. Therefore, the coordinates of A are:
A = (0, 0)
To find the coordinates of C, we can use the fact that a rhombus has opposite sides equal in length and parallel. Since B and D have the same y-coordinate, the y-coordinate of C will also be the same. The x-coordinate of C will be the average of the x-coordinates of B and D. Therefore, the coordinates of C are:
C = ( (2+6)/2, 2 )
Learn more about Finding coordinates of points in a rhombus here:https://brainly.com/question/26994123
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The equation d = can be used to calculate the density, d, of an object with mass, m, and volume, V. Which is an equivalent equation solved for V?
dm = V
= V
= V
m – d = V
The equivalent equation solving for volume is v = mass/density
Data;
Mass = mdensity = dvolume = volumeDensity of an ObjectThe density of an object can be calculated using the formula
[tex]density = \frac{mass}{volume}[/tex]
Making the volume the subject of formula here
[tex]density = \frac{mass}{volume}\\ volume = \frac{mass}{density}[/tex]
The equivalent equation solving for volume is v = mass/density
Learn more on density here;
https://brainly.com/question/25693692
the price of a technology stock was $9.53 yesterday. Today, the price rose to $9.66. Find the percentage increase. Round your answer to the nearest tenth of a percent.
in how many ways can 5 men and 5 woman sit alternately in a row of 10 seats?
the men can be arranges in 5! ways
and the women in 5! ways
so (5*4*3*2) = 120
120 *120 = 14,400 ways
Find two integers whose sum is -7 and whose product is 12. Explain how you found the numbers.
the area of the top face of a cube is 9 meters. what is the volume? {I need to know how to actually do this}
The dress store is having a sale where all merchandise is 1/4 off. A woman buys $48 of merchandise at the sale price
The woman should have paid \$64 for the regular price of the merchandise.
To find out what the woman should have paid for the regular price, we need to reverse engineer the discount. Here's the step-by-step calculation:
Calculate the Discount Amount: Since the sale is 1/4 off, the discount is 1/4 of the regular price. So, the discount is:
[tex]\[ \frac{1}{4} \times \text{Regular Price} \][/tex]
[tex]\[ \text{Discount} = \frac{1}{4} \times \text{Regular Price} \][/tex]
Subtract the Discount from the Regular Price to Get the Sale Price: The sale price is the regular price minus the discount:
[tex]\[ \text{Sale Price} = \text{Regular Price} - \text{Discount} \][/tex]
Calculate the Sale Price: We know the woman bought $48 worth of merchandise at the sale price, so:
[tex]\[ \text{Sale Price} = \$48 \][/tex]
Find the Regular Price: Now we can set up an equation using the information we have:
[tex]\[ \$48 = \text{Regular Price} - \text{Discount} \][/tex]
Substituting the discount calculated earlier:
[tex]\[ \$48 = \text{Regular Price} - \left(\frac{1}{4} \times \text{Regular Price}\right) \][/tex]
Solve for the Regular Price:
[tex]\[ \$48 = \left(\frac{4}{4}\right) \times \text{Regular Price} - \left(\frac{1}{4}\right) \times \text{Regular Price} \][/tex]
[tex]\[ \$48 = \left(\frac{3}{4}\right) \times \text{Regular Price} \][/tex]
To isolate the regular price, multiply both sides by [tex]\( \frac{4}{3} \)[/tex]:
[tex]\[ \text{Regular Price} = \$48 \times \frac{4}{3} \][/tex]
[tex]\[ \text{Regular Price} = \$64 \][/tex]
So, the woman should have paid $64 for the regular price of the merchandise.
Complete Question:
The dress store is having a sale where all merchandise is 1/4 off a woman buys $48 of merchandise at the sale price what should she have paid for the regular price
5. Suppose that a and b are both real numbers such that a < b. What can you conclude about the inequality 1/a < 1/b?
a. 1/a < 1/b is always true.
b. 1/a < 1/b is sometimes true.
c. 1/a < 1/b is never true.
d. A valid conclusion cannot be determined from the given information.
Write the quadratic equation in factored form. Be sure to write the entire equation. x2 - 5x - 24 = 0
Answer:
(x+3)(x-8)
Step-by-step explanation:
what is 165% written as a decimal and fraction
A rectangular lot with a 50-ft frontage and a 230-ft depth sold for $8625. Find the cost of the lot per square foot
a circus performer walks on a tightrope 25 feet above the ground. the tightrope is supported by two beams and two support cables. if the distance between each beam and the base of its support cable is 15 feet, what is the length of the support cable?
Answer:29.15475947 (not rounded)
Step-by-step explanation: