Answer:
6.25? is that even possible?
Step-by-step explanation:
It was 75.5 degrees Fahrenheit and 2 hours later, the temperature dropped 15.1 degrees Fahrenheit. What is the new temperature?
Answer:
60.4
Step-by-step explanation:
75.5-15.1=60.4
Answer:
60.4*F.
Step-by-step explanation:
75.5-15.1=60.4
Write an algebraic expression for: the product of 12 and x divided by the sum of 4 and x.
Answer:
12x/(4+x)
Step-by-step explanation:
The algebraic expression for 'the product of 12 and x divided by the sum of 4 and x' is written as (12 imes x) / (4 + x). This expression follows the order of operations and uses parentheses to ensure clarity.
The algebraic expression for 'the product of 12 and x divided by the sum of 4 and x' can be written as:
(12 x x) / (4 + x).
To write this expression, first, recognize the terms that signify mathematical operations. 'Product' signifies multiplication and a 'sum' signifies addition. The given statement involves both these operations, with 12 being multiplied by the variable x and then divided by the sum of 4 and x.
Using parentheses clarifies that the division applies to the entire sum of 4 and x, rather than just 4 or x. Without parentheses, it may lead to confusion about the order of operations. To represent division, we use the '/' symbol.
The correct algebraic expression (12 imes x) / (4 + x) follows the order of operations and ensures accurate representation of the mathematical relationship described in the problem.
PLEASE!!!!!!!!!!!!!!!!!!!!THIS IS DUE TODAY
A taxi company charges one-time base fee of $ 3 and $ 1.75 per mile. Explain how to write an expression which represents the total taxi fare for m miles in two different ways.
3 + 1.75m
This represents 1.75 per mile plus a one time 3 charge.
Another way this can be written is
(1.75m + 6) - 3
This is a less efficient way, but represents the same. It is 1.75 per mile, this is plus 6, therefore we add the -3 outside the parenthesis so it evens out to +3 as the base charge.
Example: Lets say its 3 miles.
3 + 1.75 (3) = 8.25
(1.75 (3) + 6) - 3 = 8.25
Answer:
When m= 0,25
(8m-m ) + 3
3+ 8m-1/4m
With the first one you can add any number of miles infront of the brackets; ie) 4 miles
4(8m-m) +3 = 0.25t
32m-4m /28 (+3) = 0.25t x 28
28m +3 = 0.25t x 28
28m + 3 = 7t + 3t
31m = 10t
Step-by-step explanation:
Which number is a multiple of 6 and 8?
A
18
B
24
C
16
D
12
.
Answer:
B) 24
Step-by-step explanation:
3 x 8 = 24
4 x 6 = 24
Answer:
24
Step-by-step explanation:
What percent represents the probability that the spinner will stop on a yellow section?
A.
20%
B.
30%
C.
40%
D.
80%
To calculate the probability of a spinner landing on a yellow section, specific information about the spinner is required. For instance, with 5 sections where 1 is yellow, the probability would be 20%. Without such information, however, the correct percentage cannot be determined from the choices provided.
Explanation:To determine the probability of the spinner stopping on a yellow section, we need specific information about the spinner such as the number of sections and the number of yellow sections. Without this information, we are unable to calculate the exact percentage. Assuming a student is given this type of probability question, they would typically be provided with a diagram or description of the spinner. For example, if there are 5 equal sections and 1 of those is yellow, then the probability (in percentage) would be 20%, calculated as (1 yellow section / 5 total sections) × 100%. However, since we do not have this information here, the correct option cannot be determined from the choices provided (A. 20%, B. 30%, C. 40%, D. 80%).
As for the probability of a randomly chosen student not living within five miles of the campus, this would typically be based on specific data provided in the context of the problem. Without the data, we cannot determine the correct percentage for this scenario as well, thus the correct answer is "Cannot be determined."
In the Volume of Pyramids section, a right square pyramid has a slant height of 5cm and a base edge length of 6cm. Select all that apply. *
B = 6cm
B= 36cm squared
The height and the slant height form a right triangle.
h = 4cm
h= 7cm
h = 3cm
V = 1/3Bh
V = Bh
V = 144 cm cubed
V = 48 cm cubed
Answer:
B= 36cm squared
h = 4 cm
V = 48 cm cubed
Step-by-step explanation:
A square pyramid has a square base. The edge length are all equal.
Given that:
base length (b) = 6 cm and slant height (l) = 5 cm.
The height and the slant height form a right triangle i.e the slant height is the hypotenuse, the base of the triangle is the distance from the center of the square to the edge which is half of the base length (b/2). The height of the pyramid (h) is given as:
l² = h² + (b/2)²
h² = l² - (b/2)²
h² = 5² - (6/2)²
h² = 25 - 9
h = √16 = 4 cm
The area of the base = b² = 6² = 36 cm²
The volume of the pyramid (V) = 1/3 × b² × h = 1/3 × 6² × 4 = 48 cm³
A 8 ft tall tent standing next to a lawn ornament casts a 4 ft shadow. If the lawn
ornament is 6 ft tall, then how long is its shadow?
Answer: 3 ft
Step-by-step explanation: It is a ratio, the shadows are half the length of the original object .
Mr. Wilson is putting together information package for his students. Each package has 5 sheets of paper and is held together with 2 Staples. What ordered pair represents how many staples (x) and sheets of paper (y) Mr Wilson needs for 13 packets?
Answer:
(26,65)
Step-by-step explanation:
We know that each package has 5 sheets of paper and 2 staples. So, to know how many sheets of paper and staples that will be used in 13 packages, we just need to multiply each quantity of material used by 13.
So, we have that:
Total sheets of paper = 13 * 5 = 65
Total staples = 13 * 2 = 26
So the ordered pair (x,y), where x is staples and y is sheets of paper is:
(26,65)
Answer:
The ordered pair is (26, 65).
Step-by-step explanation:
From the given information, a package has 5 sheets of paper and is held together with 2 staples.
13 packets contains 13 packages, so that:
Number of sheet of paper required = 13 × 5
= 65
Number of staples required = 13 × 2
= 26
Therefore, the ordered pair is; staples (26) and sheets of paper (65) i.e (26, 65).
How many two- fifths are in four-fifths
Final answer:
There are two portions of two-fifths in four-fifths; this is determined by dividing four-fifths by two-fifths, which simplifies to 2.
Explanation:
The student is asking how many portions of two-fifths fit into four-fifths. This is a basic division problem, which we can solve by dividing four-fifths [tex](\frac{4}{5})[/tex] by two-fifths ([tex]\frac{2}{5}[/tex]). The division of fractions is performed by multiplying the first fraction by the reciprocal of the second fraction.
To find the reciprocal of two-fifths ([tex]\frac{2}{5}[/tex]), we flip the numerator and denominator, resulting in five-halves ([tex]\frac{5}{2}[/tex]). Next, we multiply four-fifths ([tex](\frac{4}{5})[/tex]) by five-halves ([tex]\frac{5}{2}[/tex]).
[tex]\frac{4}{5} \times \frac{5}{2}[/tex] = [tex]\frac{4 \times 5}{5 \times 2}[/tex] = [tex]\frac{20}{10}[/tex] = 2
Therefore, there are two two-fifths in four-fifths.
patsy's pizzeria sold 3 5/6 vegetables pizzas yesterday. they sold 3 times as many pepperoni pizzas. how many pepperoni pizzas did they sell?
Answer:
11.5
Step-by-step explanation:
3 x 3 5/6
3 x 23/6
=69/6
=11.5
To find out how many pepperoni pizzas Patsy's Pizzeria sold, we need to multiply the number of vegetable pizzas by 3. They sold 11 1/2 pepperoni pizzas.
Explanation:To find out how many pepperoni pizzas Patsy's Pizzeria sold, we need to multiply the number of vegetable pizzas by 3. If they sold 3 5/6 vegetable pizzas, we can represent this as a mixed number of 3 + 5/6. To multiply this by 3, we first convert the mixed number to an improper fraction: 3 + 5/6 = (3 * 6 + 5) / 6 = 23/6. Next, multiply the improper fraction by 3 to get: (23/6) * 3 = 69/6 = 11 1/2. Therefore, Patsy's Pizzeria sold 11 1/2 pepperoni pizzas.
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It costs $3.45 to buy 3/4 kilogram of chopped walnuts. How much would it cost to purchase 7.5 kilograms of walnuts? Explain or show your reasoning. *
Shalene opened a new account and deposited $6,000.
The bank pays 5.5% interest compounded annually.
She makes no other deposits or withdrawals.
Which amount is closest to the amount in her account at the end of 5 years?
$7,841.76
$6,330.00
B. $7,650.00
$6,155.00
Hurry please
Answer:
$7,650.00
Step-by-step explanation:
5.5 x 5 = 27.5
turn 27.5 into a percent
6000 x 0.275 = $7,650.00
give the equation of the line goinng through (4, 6) and parallel to the line 2y-6x=4
Answer:
y = 3x-6
Step-by-step explanation:
First we need to find the slope of the line
2y-6x=4
Solve for y
Add 6x to each side
2y-6x+6x=4+6x
2y = 6x+4
Divide each side by 2
2y/2 =6x/2 +4/2
y = 3x +2
The slope is 3
We want a line parallel, so it will have the same slope
We have a slope and a point
y = 3m+b
Substitute in the point
6 = 3(4)+b
6 =12+b
Subtract 12 from each side
6-12 = 12-12+b
-6 =b
y = 3x-6
Answer:
y = 3x - 6
Step-by-step explanation:
2y = 6x + 4
y = 3x + 2
Slope = 3
y = 3x + c
6 = 3(4) + c
c = 6 - 12
c = -6
y = 3x - 6
A rectangular pyramid has a volume of 1,512in3, a height of 12 in and a base length in f 21 in. What is the width of it’s base?
Answer:
18 inches.
Step-by-step explanation:
Hope this helps! Would you like an explanation?
WILL MARK BRAINLIEST! HELP PLEASE!
Ashley runs 5/8 miles in 4 minutes 30 seconds. Josh runs 3/4 miles in 5 minutes 15 seconds. Explain how you can tell who is the faster runner.
Please explain!
Answer:
Ashley is faster.
Step-by-step explanation:
I find it is easiest to convert into decimals.
Ashley ran 5/8 mile in 4 1/2 minutes.
5/8 is 0.625
Josh ran 3/4 mile in 5 minutes 15 seconds.
3/4 is 0.75
It looks like Josh won because his number is closer to 100, but, Ashley ran 0.625 mile faster than he ran 0.75 mile.
But then again, Josh ran more than her. Who won? Here is the answer.
Josh can run 0.75 mile in 5 minutes 15 seconds.
Ashley can run 0.625 miles in 4 1/2 minutes.
(4 + 1/2) ÷ 0.625 = 7.2
(5 + .15) ÷ 0.75 = 6.8
7.2 is more & closer to 10.
So to sum it up, Ashley is faster.
To determine who's the faster runner, we calculate the speed of each runner by dividing the distance they run by the time it takes. Josh is slightly faster than Ashley because he covers more distance per minute.
Explanation:In this problem, we are comparing the speeds of Ashley and Josh. Speed is calculated by dividing the distance traveled by the time it took to travel that distance. In Ashley's case, she runs 5/8 miles in 4 minutes and 30 seconds, or 4.5 minutes. So, her speed is (5/8) / 4.5 = 0.139 miles per minute.
Josh runs 3/4 miles in 5 minutes and 15 seconds, or 5.25 minutes. His speed is then (3/4) / 5.25 = 0.143 miles per minute.
We can see that Josh is slightly faster than Ashley because his speed (0.143 miles per minute) is higher than Ashley's speed (0.139 miles per minute).
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What is the area of 1 = 8 inches
w = 4.5 inches
Answer: 36 in²
Step-by-step explanation:
A=length times width
4.5 times 8 = 36
Answer:
[tex] 36.0 \: {inches}^{2} [/tex]
Step-by-step explanation:
[tex]area = l \times w = 8 \times 4.5 \\\hspace {65 pt} = 36.0 \: {inches}^{2} \\ [/tex]
Suppose you roll a special 20 side dice. What is the probability that the number rolled is a 1 or 2?
Answer:
2 out of 20 chance you will roll a 1 or a 2.
In a poll of Mr. Briggs's math class, 67% of the students say that math is their favorite academic subject. The editor of the school paper is in the class, and he wants to write an article for the paper saying that math is the most popular subject at the school.
A. Explain why this is not a valid conclusion
B. Suggest a better method of determining what subject is most popular
Answer:
1) biased sample
2) random sampling
Step-by-step explanation:
Since the results are based on feedback of students in only one class, it's not a good representative of the entire student body.
Also, since it's a math class there will be a bias.
Better method would be randomly selecting students from the entire school students list and take their feedback
WILL GIVE BRAINLIEST!!!!
1. Find the slope of the line through each pair of points (-11, -15) and (1,14)
2. Find the slope of the line through each pair of points (16, -19) and (-9,12)
3. Find the slope of the line through each pair of points (-18, -3) and (8, -3)
Slope formula: y2-y1/x2-x1
Question 1:
= 14-(-15)/1-(-11)
= 29/12
= 2 5/12
Therefore, the slope is 2 5/12 or 29/12.
Question 2:
= 12-(-19)/-9-16
= 31/-25
= -31/25
= 1 6/25
Therefore, the slope is 1 6/25 or -31/25.
Question 3:
= -3-(-3)/8-(-18)
= 0/26
Therefore, the slope is 0.
Best of Luck!
Which of the following describes a positive correlation? As the number of hours spent on homework increases, the tests scores increase. As the number of times going to bed early increases, the number of times waking up late decreases. As the number of apples eaten per year increases, the number of times visiting the doctor every year remains the same. The amount of time a team spent practicing increases, the number of games lost in a season decreases.
Answer:
As the number of hours spent on homework increases, the tests scores increase.
Step-by-step explanation:
because the independent variable and dependent variable are both increasing.
Final answer:
The statement "As the number of hours spent on homework increases, the test scores increase" best describes a positive correlation, where two variables increase together.
Explanation:
A positive correlation is described as a relationship in which the increase in one variable leads to the increase in another variable. Looking at the situations you provided, the scenario, "As the number of hours spent on homework increases, the test scores increase," clearly illustrates a positive correlation. More hours of homework tend to result in higher test scores, suggesting that the two variables change in the same direction.
A negative correlation involves an inverse relationship where an increase in one variable leads to a decrease in the other. For example, "As the number of times going to bed early increases, the number of times waking up late decreases," is a negative correlation because the variables move in opposite directions.
No correlation occurs when the changes in one variable do not relate to changes in another variable, such as "As the number of apples eaten per year increases, the number of times visiting the doctor every year remains the same." Here, there is no consistent pattern of increase or decrease between apple consumption and doctor visits.
Rewrite as the opposite of the square of a binomial: −x^2+8x−16
Answer:
[tex] - (x - 4 {)}^{2} [/tex]
Step-by-step explanation:
The given expresion is
[tex] - {x}^{2} + 8x - 16[/tex]
Factor -1;
[tex] - ( {x}^{2} - 8x + 16)[/tex]
Split the middle term with -4x-4x
[tex] - ( {x}^{2} - 4x - 4x + 16)[/tex]
Factor by grouping within the parenthesis:
[tex] - ( x({x} - 4)- 4(x - 4) )[/tex]
Factor further:
[tex] - (x - 4)(x -4 )[/tex]
[tex] - (x - 4 {)}^{2} [/tex]
This the opposite of the square of (x-4)
Answer:
e
Step-by-step explanation:
you do math
WILL MARK BRANLIESTTT
What is the value of x?
A. 42°
B. 48
C. 64°
D. 84
Answer:
D.84Step-by-step explanation:
*It's an isosceles triangle so 2 of the angles are going to be the same degrees
*Every triangle is 180 degrees
(48)+(48)=96 then 180-96=84
write y=3x-5 in function notation
Answer:
f(x) = 3x -5 is your answer
Step-by-step explanation:
f(x)=3x-5 is the function notation of the equation y=3x-5.
The equation y=3x−5 can be written in function notation as: f(x)=3x−5.
In function notation, we use f(x) to represent the dependent variable (usually y), and x remains the independent variable.
So, the function f(x) takes an input x, multiplies it by 3, and then subtracts 5 to determine the corresponding output y.
Hence, the equation y=3x-5 in function notation is f(x)=3x-5.
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Which is a shot-term consequence of making a late payment on your bill ?
A-it will be harder to buy a house because it affects your credit history
B-there will be a late fee added to the bill
C-it will be harder to secure a new loan at a low rate
D-the bank will charge a fee for having a negative balance
Answer:
B
Step-by-step explanation:
Can someone help me with this!!!!!
Answer:
30. [tex]x=5\\y=5\sqrt{3}[/tex]
31. [tex]x=4\\y=4\sqrt{3}[/tex]
32. [tex]x=6\\y=6\sqrt{3}[/tex]
33. [tex]x=4.5\\y=\frac{9\sqrt{3} }{2}[/tex]
34. [tex]x=40\\y=40\sqrt{3}[/tex]
35. [tex]x=7.5\\y=\frac{15\sqrt{3} }{2}[/tex]
Step-by-step explanation:
Use SOHCAHTOA to find one of the missing sides, then use the pythagorean theorem ([tex]x^{2}+ y^{2} =z^{2}[/tex]) to find the other one
[tex]sin=\frac{opposite}{hypotenuse}[/tex]
[tex]cos=\frac{adjacent}{hypotenuse}[/tex]
[tex]tan=\frac{opposite}{adjacent}[/tex]
30.
First find [tex]x[/tex] using Sin
[tex]sin(30)=\frac{x}{10}[/tex]
[tex]10*sin(30)=x[/tex]
[tex]x=5[/tex]
Then use the pythagorean theorem to find [tex]y[/tex]
[tex]5^{2}+ y^{2} =10^{2}[/tex]
[tex]25+y^{2} =100[/tex]
[tex]y^{2} =75[/tex]
[tex]\sqrt{y^{2}} =\sqrt{75}[/tex]
[tex]y=5\sqrt{3}[/tex]
32.
First use Sin to find [tex]x[/tex]
[tex]sin(30)=\frac{x}{8}[/tex]
[tex]8*sin(30)=x[/tex]
[tex]x=4[/tex]
Then use the pythagorean theorem to find [tex]y[/tex]
[tex]4^{2}+ y^{2} =8^{2}[/tex]
[tex]16+y^{2} =64[/tex]
[tex]y^{2} =48[/tex]
[tex]\sqrt{y^{2} } =\sqrt{48}[/tex]
[tex]y=4\sqrt{3}[/tex]
32.
First use Sin to find [tex]x[/tex]
[tex]sin(30)=\frac{x}{12}[/tex]
[tex]12*sin(30)=x[/tex]
[tex]x=6[/tex]
Then use the pythagorean theorem to find [tex]y[/tex]
[tex]6^{2}+ y^{2} =12^{2}[/tex]
[tex]36+y^{2} =144[/tex]
[tex]y^{2} =108[/tex]
[tex]\sqrt{y^{2} } =\sqrt{108}[/tex]
[tex]y=6\sqrt{3}[/tex]
33.
First use Sin to find [tex]x[/tex]
[tex]sin(30)=\frac{x}{9}[/tex]
[tex]9*sin(30)=x[/tex]
[tex]x=4.5[/tex]
Then use the pythagorean theorem to find [tex]y[/tex]
[tex]4.5^{2}+ y^{2} =9^{2}[/tex]
[tex]20.25+y^{2} =81[/tex]
[tex]y^{2} =60.75[/tex]
[tex]\sqrt{y^{2} } =\sqrt{60.75}[/tex]
[tex]y=\frac{9\sqrt{3} }{2}[/tex]
34.
First use Sin to find [tex]x[/tex]
[tex]sin(30)=\frac{x}{80}[/tex]
[tex]80*sin(30)=x[/tex]
[tex]x=40[/tex]
Then use the pythagorean theorem to find [tex]y[/tex]
[tex]40^{2}+ y^{2} =80^{2}[/tex]
[tex]1600+y^{2} =6400[/tex]
[tex]y^{2} =4800[/tex]
[tex]\sqrt{y^{2} } =\sqrt{4800}[/tex]
[tex]y=40\sqrt{3}[/tex]
35.
First use Sin to find [tex]x[/tex]
[tex]sin(30)=\frac{x}{15}[/tex]
[tex]15*sin(30)=x[/tex]
[tex]x=7.5[/tex]
Then use the pythagorean theorem to find [tex]y[/tex]
[tex]7.5^{2}+ y^{2} =15^{2}[/tex]
[tex]56.25+y^{2} =225[/tex]
[tex]y^{2} =168.75[/tex]
[tex]\sqrt{y^{2} }=\sqrt{168.75}[/tex]
[tex]y=\frac{15\sqrt{3} }{2}[/tex]
the crazy coaster has 3 trains , each train holds 27 people and runs 9 times in 1 hour . If the crazy coaster operates for 13 hours a day how many people can ride it each day ?
Given that the crazy coaster has 3 trains each holding 27 people and runs 9 times in 1 hour, and also operates for 13 hours a day, it can carry a total of 9,477 people in a day.
Explanation:To figure out how many people can ride the crazy coaster each day, we need to multiply all the related factors together. First, we consider the passengers each train can carry. Each of the 3 trains can hold 27 people which makes 81 people (3 trains multiplied by 27 people each). Then, each of these trains runs 9 times in 1 hour, so that's 81 people multiplied by 9 runs, which makes 729 people per hour. Since the crazy coaster operates for 13 hours a day, that's 729 people multiplied by 13 hours, which equals 9,477 people. Therefore, a total of 9,477 people can ride the crazy coaster each day, assuming every train is full on every run.
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What equation has a constant of proportionality equal to 1/2
Answer:
Y = 10/5x
10 divided by 5 = 2
Step-by-step explanation:
Helpppppppp ASAPPPP PLZZZZZZ
-BRAINLIEST ANSWER! Each leg of a 45°-45°-90° triangle measures 12 cm. What is the length of the hypotenuse?
6 cm
6 StartRoot 2 EndRoot cm
12 cm
12 StartRoot 2 EndRoot cm
Answer:
The legs are 12 cm each, so the hypotenuse is
√(144+144)=12√2
So it would be the last one
Answer:
12√2
Step-by-step explanation:
(Express each rate in lowest term)
6 + 4 2/3
Final answer:
The rate 6 + 4 2/3 in lowest terms is 32/3 or, as a mixed number, it is 10 2/3.
Explanation:
The student asked to express the rate 6 + 4 2/3 in lowest terms. To do this, we will first convert the mixed number 4 2/3 into an improper fraction. The mixed number 4 2/3 can be converted by multiplying the whole number 4 by the denominator 3 and then adding the numerator 2, which gives us 14/3. So now we have the expression 6 + 14/3.
To add the whole number and the fraction, we can convert the whole number 6 into a fraction with the same denominator as 14/3. This means converting 6 to 18/3 (since 6 times 3 equals 18). Now we can add the fractions directly: 18/3 + 14/3 equals 32/3. Therefore, the rate 6 + 4 2/3 expressed in lowest terms is 32/3 or 10 2/3 when represented as a mixed number.