Answer:
Cost for each movie: $1.50 Cost for each video game: $6.75
Step-by-step explanation:
Let x be the cost (in dollars) of renting a movie.
Let y be the cost (in dollars) of renting a video game.
The total cost of renting 3 movies and 2 video games is +3x2y dollars.
We're given that this total cost is $18, so we have =+3x2y18.
The total cost of renting 5 movies and 6 video games is +5x6y dollars.
We're given that this total cost is $48, so we have =+5x6y48.
Therefore, we get the following system of equations.
=+3x2y18
=+5x6y48
Multiplying the first equation by −3 and adding gives us the following.
−9 x− 6 y = −54 5 x+ 6 y = 48 −4 x+ 0 y = −6
So we get the equation =−4x−6.
Solving for x, we get the following.
=x1.5
To find y, we can substitute 1.5 for x in =+3x2y18, the first equation in the system.
Then we solve for y.
+31.52y =18
+4.52y =18
2y =13.5
y =6.75
So, we have found that =x1.5 and =y6.75.
This means that the rental cost for each movie is $1.50 and the rental cost for each video game is $6.75.
Question 1
4 pts
Which set of line segments could create a right triangle? (4 points)
O 15,30,35
O 15,36,39
O 15, 20, 29
O 5,15,30
Answer:
(B)15,36,39
Step-by-step explanation:
To determine which of the line segments could create a Right Triangle, we check if it satisfies the Pythagoras Theorem, taking the longest part to be the Hypotenuse in all cases.
By Pythagoras Theorem: [tex]Hypotenuse^2=Opposite^2+Adjacent^2[/tex]
In 15,30,35
[tex]35^2\neq 15^2+30^2\\1225\neq 1125[/tex]
In 15,36,39
[tex]39^2=36^2+15^2\\1521=1521[/tex]
In 15, 20, 29
[tex]29^2\neq 15^2+20^2\\841\neq 625[/tex]
In 5,15,30
[tex]30^2\neq 15^2+5^2\\900\neq 250[/tex]
We can see that only 15,36,39 satisfies the required condition and thus it could be used to create a right triangle.
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:
¿Cuál dígito debe ir en el recuadro para
que el siguiente número sea divisible
entre 2, 3 y 9? 8,? 48
Answer:
7
Step-by-step explanation:
English:
Which digit should go in the box to
make the next number divisible
between 2, 3 and 9? 8 ,? 48
Let x be the number, then the number will look like this:
8x48
This number is already divisible by 2, because it ends with an even number.
Now we need to check for divsibility by 3.
For this to be divisible by 3, the sum of the digit should be a multiple of 3.
[tex]8 + x + 4 + 8 = x +20[/tex]
We know if a number is divsible by 9, it is also divsible by 3.
So
[tex]x + 20=9,18,27,....[/tex]
The least positive solution is
[tex]x + 20 = 27[/tex]
[tex]x = 27 - 20[/tex]
[tex]x = 7[/tex]
Therefore 8748 is divsible by 2,3, and 9.
Describe one method to calculating the area of the shaded region.
Answer:
Fine the area of the square, then the area of the circle. Subtract the area of the circle from the area of the square and you will get the remaining shaded area.
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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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 :)
Harry picks 133 apples every 7 minutes how many apples would he in 273 minutes
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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What happens to the value of f(x) = log4x as x approaches 0 from the right?
Answer:f(x) approaches negative infinity
Step-by-step explanation:
N/A
Answer:
the 1st one is a (f(x) approaches negative infinity)
the 2nd one is c (f(x) approaches infinity)
Step-by-step explanation:
A wheelbarrow weighs 55 pounds. It can carry a load up to 1/2 ton. How many pounds does the wheelbarrow weigh when it is filled to capacity?
Answer:
1055 lbs.
Step-by-step explanation:
Since 1 ton is 2000 pounds, half a ton is 1000 pounds. The wheelbarrow weights 55 pounds in itself, so the total weight will be 1000 + 55 = 1055 lbs.
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
5x2 - 4x – 9 = 0
Master Product:
try
Answer:
Step-by-step explanation:
5×-9=-45
-9+5=-4
5x²-4x-9=0
5x²-9x+5x-9=0
x(5x-9)+1(5x-9)=0
(5x-9)(x+1)=0
x=-1,9/5
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
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
which of the following is equivalent to 3(2x-5)-4(x-3)=7
Answer:
A
Step-by-step explanation:
When we distribute, we get:
6x - 15 - 4x + 12 = 7
If we combine the like terms, we get:
2x - 3 = 7, which is A in your case. Hope this helps.
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:
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?
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.
|3x−2|=19 please help quick thanks
Answer:
x=7,-17/3
Step-by-step explanation:
What’s the value of x in degrees
Answer:
92⁰
Step-by-step explanation:
a = 35⁰ ( vertically opposite )
b = 53⁰ (vertically opposite )
a + b + x = 180⁰ (Angle sum property of triangle)
35⁰ + 53⁰ + x = 180⁰
x = 180⁰ - 88⁰
x = 92⁰
Answer:
[tex]x = 97 \: \: degrees[/tex]
Step-by-step explanation:
[tex]a = 35 \\ b = 53 \\ (vertically \: \: opposite \: \: angles)[/tex]
[tex]35 + 53 + x = 180 \\ 86 + x = 180 \\ x = 180 - 83 \\ x =9 7 \: \: degrees[/tex]
sum of the angles in a triangle is 180 degrees.
hope this helps
brainliest appreciated
good luck! have a nice day!
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
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.
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.
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:
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
ANSWER!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Total bags = 8
Candies in each bag = 7 candies
So Now
Total candies in the package = 7*8 = 56
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!!)
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
Corey drew a sketch of a paper hat
If a = 4 in and b = 3 in, what is the area of the sketch?
A.
84 in2
B.
60 in2
C.
40 in2
D.
21.5 in
Answer:
Not on there but it is 76in2
Step-by-step explanation:
Starting with the trapezoid. We know that a trapezoid can be split into 2 triangles and 1 rectangle. So the area of the trapezoid will be 4+32+4 which is 40 now that we know the trapezoid's area we can find the rectangle's area. The rectangle's area will be 12x3 which is 36. So, you would add both:40+36= 76in2.