Answer:
80/1 1/4 (Fraction)
Step-by-step explanation:
[tex]speed = \frac{distancs}{time} \\ \\ \hspace{29pt}= \frac{80}{1 \frac{1}{4} } mph[/tex]
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).
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 length of a rectangle is six times it’s width. If the perimeter of the rectangle is 112 yards, find it’s length and width.
The length of rectangle is 48 yards and width of the rectangle is 8 yards, if the perimeter of the rectangle is 112 yards.
Step-by-step explanation:
The given is,
The perimeter of the rectangle is 112 yards
The length of a rectangle is six times it's width
Step:1
Let, p - Perimeter of the rectangle
l - Length of the rectangle
w - Width of the rectangle
Step:2
Formula for perimeter of rectangle,
[tex]Perimeter, p = 2(l+w)[/tex]............................(1)
From given,
p = 112 yards
l = 6w ( ∵ From given)
w = w
Substitute the values,
112 = 2 ( 6w + w )
112 = 2 ( 7w )
112 = 14w
w = 8 yards
From the w value, l becomes
l = 6w
l = 6 × 8
l = 48 yards
Result:
The length of rectangle is 48 yards and width of the rectangle is 8 yards, if the perimeter of the rectangle is 112 yards.
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.
Helpppppppp ASAPPPP PLZZZZZZ
Joey's cleaning service charges $50 per week to clean a home. Amy's cleaning service charges $50 per week , plus $25 for cleaning supplies.
which equation can be used to express the amount that Amy's cleaning service charges?
A y=50x
B y=50x-25
C y=1/50x
D y=50x + 25
Answer:
D y=50x + 25
Step-by-step explanation:
The number of weeks can vary, so it is placed in front of a variable. The cleaning supplies cost does not, so it does not have a variable, but instead, it is a constant.
Answer:
D
Step-by-step explanation:
y = mx + b is the equation, where m = cost per week and b = cleaning supply cost (constant)
That means the equation is y = 50x + 25
A pharmacist need to fill an order for a patient weighing 90.0 kg. The patient was prescribed 15 mg of a drug per
kg of body weight (15 mg = 1 kg) How many milligrams (mg) will the pharmacist need to order for the
prescription for the 90.0 kg patient?
Answer:
1,350 mg.
Step-by-step explanation:
Multiply the amount of mg per kg by the number of kg to get the total amount of mg needed by the patient.
1350 milligrams pharmacist needs to fill the order for that patient.
What is multiplication?Multiplication is the general procedure in mathematics in which we multiply two or more numbers to each other to find a new multiplied number.
Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.
Given that,
The patient needs the drug according to his weight by multiplying of 15
Since the weight of the patient is 90 kg
So,
Amount of drug needed = 15 × 90 = 1350 miligram.
Hence "1350 milligrams pharmacist needs to fill the order for that patient".
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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 .
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.
Can someone please help me with this (thank you)
Answer:
D. ( 3.6 , 2.2)
Step-by-step explanation:
Given
x + y = 5.8....equation 1
y = 2x - 5 ......equation 2
Putting equation 2 in equation 1
x + 2x - 5 = 5.8
3x = 5.8 + 5
3x = 10.8
Therefore x = 3.6
Now
y = 2 * 3.6 - 5
= 7.2 - 5
= 2.2
Hope it will help you.
Answer:
B
Step-by-step explanation:
|3x−2|=19 please help quick thanks
Answer:
x=7,-17/3
Step-by-step explanation:
How many integers are there in the solution set of the inequality |x−2000|+|x| ≤9999
Answer:
9999
Step-by-step explanation:
Find the greatest value of x and the least value of x that satisfy the equation:
2x-2000 = 9999 (Yields the greatest solution)
2x + 2000 = -9999 (Yields the least solution)
Solve both equations and you get:
3999.5 (Greatest solution)
-5999.5 (Least solution)
That means the range of integer solutions is between 3999 and -5999 (inclusive). That means there are 9999 integral solutions
Answer:
20,000 integers
Step-by-step explanation:
By triangular inequality,
|x - 2000 + x| ≤ |x−2000|+|x|
|x−2000|+|x| ≤ 9999
|x - 2000 + x| ≤ 9999
|2x - 2000| ≤ 9999
|x - 10000| ≤ 4999.5
x - 10000 ≤ 4999.5
x ≤ 4999.5
x ≤ 14999.5
-(x - 10000) ≤ 4999.5
-4999.5 ≤ x - 10000
-5000.5 ≤ x
All solutions:
-5000.5 ≤ x ≤ 14999.5
No. of inyegers:
14999 - (-5000) + 1
20,000 integers
PLZ ANSWER QUICK!! I WILL MARK BRAINLIEST!!
Find the areas of the trapezoid.
Answer:
10.5
Step-by-step explanation:
Area of a triangle=(½)(b)(h)
=(½)(3)(3)
=4.5
Area of rectangle=l×w
=2×3
=6
4.5+6=10.5
(hope this helps!!)
ANSWER!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Total bags = 8
Candies in each bag = 7 candies
So Now
Total candies in the package = 7*8 = 56
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:
f(x) = 3(x + 5)2 - 10
Answer: f(x)=3x2+30x+65
Step-by-step explanation:
F(x)=3(x+5)2-10
Using bodmas
B= bracket
O=of
D= division
M= multiplication
A= Addition
S= subtraction
So we go with the bracket
(X+5)2
=(x+5)(x+5)
Open the bracket
=x2+5x+5x+25
=x2+10x+15
Substitute for (x+5)2
F(x)=3(x2+10x+25)-10
Open the bracket
F(x)= 3x2+30x+75-10
F(x)= 3x2+30x+65
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
4) -8 – 3a = 46 whoever has best answer gets brainliest
Answer:
A= -18
Step-by-step explanation:
-8-3(-18)= 46= -18
Answer:
a=-18
Step-by-step explanation:
Let's break this down step by step.
-8-3a=46
Since 3a has a variable, a, we want to get it by itself. So the first step is to do the inverse operation and add 8 on both sides. That leaves this equation:
-3a=54
The 3a is -3a because of the subtraction sign in front. Now we divide on both sides because we want the variable, a, to be by itself. That leaves this simplified expression.
a=-18.
Now, let's work it out in context of the problem.
-8-3x-18=46
3x-18 is -54, and -8-(-54), it would become 46.
A boy owns 7 pairs of pants, 3 shirts, 2 ties, and 6 jackets. How many different outfits can he wear to school if he must wear one of each item?
He can wear different outfits.
Answer:
252 7 x 3 x 2
Step-by-step explanation:
The boy can wear 252 different outfits to school.
To calculate the number of different outfits, you can multiply the number of choices for each clothing item.
In this case, he has 7 choices of pants, 3 choices of shirts, 2 choices of ties, and 6 choices of jackets.
To find the total number of outfits, simply multiply these choices together: 7 pants x 3 shirts x 2 ties x 6 jackets = 252 different outfits.
This calculation works because for each choice of one item of clothing, there are still all the other choices available for the remaining items.
So, for every pair of pants, he can choose from 3 different shirts, and for each shirt-pants combination, there are 2 tie options, and so on.
Multiplying these choices together gives us the total number of outfits he can create while wearing one of each item.
for such more questions on multiply
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The number 49 has exactly three factors. Since 98 is a multiple of 49, which must be true of 98? It must have only two factors. It must have fewer than three factors. It must have exactly three factors. It must have more than three factors.
Answer:
Step-by-step explanation:
⇒49=7×7 =1 × 49
Factors of 49 = 1,7,49
⇒It is given that ,98 is a Multiple of 49.
98 = 49 × 2
So, apart from factors of 49, number 2, and 98 are also included in the set of factors of 98.
→Factors of 98 are =1,2,7,49,98
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?
Mr. Inderhees wrote an equation and the first step of his solution process, as shown.
15 = −5 +4x
20 = 4x
Which math operation did Mr. Inderhees apply in his first step?
A. He divided 15 by 5.
B. He added 5 to each side of the equation.
C. He divided each side of the equation by 5.
D. He subtracted 5 from each side of the equation.
Answer:
B. He added 5 to each side of the equation.
Step-by-step explanation:
B. He added 5 to each side of the equation.
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."
Harry picks 133 apples every 7 minutes how many apples would he in 273 minutes
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
PROBABILITY QUESTIONS AGAIN!!!
Plz help I will mark brainliest to the best/correct answers!
For every 110 phones, 4 have defects, There's 5 sets of 110 in 550, so multiply 5 by 4.
5 × 4 = 20
Answer:20 out of the 550 may have defects.
Hope this helps :)
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:
Describe what Pi is and explain how it is used in finding the circumference of a circle
Answer:
Sample response: Pi is a number that is approximated by 3.14, or 22/7. It is the ratio of the circumference to the diameter of any circle. This ratio can be rearranged to find circumference of a circle by multiplying pi times diameter.
Step-by-step explanation:
Patrick has 2 black, 3 red, and 5 white toy cars. What is the ratio of red toy cars to all
the toy cars?
Answer:
3:10
Step-by-step explanation:
The question is asking the ratio of red cars to all the cars.
There are 3 red cars, and the total of the cars (all the cars) is 10.
The ratio is asking red to all.
So it is 3:10.
We want to get the ratio of red toy cars to the total number of red cars, we will get: 3:10
Here we know that:
There are 2 black cars, 3 red cars, and 5 white cars.
We want to get the ratio (remember that the ratio a to b is a:b) of red toy cars to all the toy cars.
First, we can see that there are 3 red toy cars.
And the total number of toy cars is:
2 + 3 + 5 = 10
So the ratio is just 3:10
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A line passes through the point (4, -1) and has a slope of -5/4
Answer:
y = -5/4x+4
Step-by-step explanation:
We can use the slope intercept form of a line
y = mx+b
where m is the slope and b is the y intercept
y = -5/4x +b
Substitute the point into the equation
-1 = -5/4(4) +b
-1 =-5+b
Add 5 to each side
-1+5 = -5+5+b
4 = b
y = -5/4x+4
Answer:
the answer is D
Step-by-step explanation: