Answer:
1)4
2)5
3)6
Step-by-step explanation:
1)2x+5=3x+1
2x-3x=1-5
-1x=-4
x=4
2)3x+2=4x-3
3x-4x=-3-2
-1x=-5
x=5
3)4x-3=3x+3
4x-3x=3+3
1x=6
x=6
Hope it helps
I’m crying pls help :(
Choose the definition for the function
Answer:
b.
Step-by-step explanation:
everything under x= 2 is x+1 meaning x<2 and at 2 it starts x+2
Answer:
The correct option is b.
Step-by-step explanation:
x + 1 ...........................x ≤ 5
x+2 .............................x ≥ 2
Can someone pls help me solve this problem! I really need help ASAP! Plz help plz help!
Answer:
R=6
Step-by-step explanation:
T+R+A=100
T=88 A=6 R=?
88+R+6=100
Move known numbers to other side
R=6
Sara's having a barbecue and she cooks burgers. She buys a 6 pack of breadrolls and a 10 pack of burger meat. How can sara get the same amount of burger to bread rolls
Answer:
Buying 5 packs of bread rolls and 3 packs of burger meat
Step-by-step explanation:
Sara needs to find the least common multiple between 6 bread rolls and 10 pieces of burger meat:
[tex]LCM:\\10\ 6\ |2\\5\ \ 3\ |3\\5\ \ 1\ |5\\1\ \ 1\ |1\\\\LCM = 2*3*5=30[/tex]
Sara will get the same amount of burger to bread rolls when she buys 30 units of each. The numbers of packs of each product that she must buy are:
[tex]B=\frac{30}{6}=5\ packs\\ M=\frac{30}{10}=3\ packs[/tex]
Sara should buy 5 packs of bread rolls and 3 packs of burger meat.
What is the solution to the system of equations graphed below?
y= 3/2x+2
y=-6x+ 32
Answer:
(4,8)
Step-by-step explanation:
The solution is where the two lines intersect.
The graphs intersect at x=4 and y = 8
(4,8)
Answer: B: (4,8)
Step-by-step explanation:
y = 3x +2 you will go to positive to on the graph and go up 3 and to the right two because it is positive until you can't no more.
y = -6x + 32
you will go to +32 on the graph and then go down six and since there is no number under -6 you will replace it with one so it will look like this -6x/1
an elevator moves at a rate of -5.8 feet per second from a height of
300 feet above the ground. the elevator takes 3 seconds to make its first stop.
how many feet above the ground is the elevator now?
Answer:
282.6 ft
Step-by-step explanation:
First you must figure out how far the elevator drops in three seconds.
To do so you multiply how far it falls per second (5.8 ft) by how long it falls for (3 seconds). 5.8 * 3 = 17.4
now you subtract 17.4 from 300 to get 282.6 ft
What is the product of: 2x(x-3) expressed as a sum or difference of terms
Answer:
2x^2 - 6x
Step-by-step explanation:
2x(x-3)
Distribute
2x*x -3*2x
2x^2 - 6x
The perimeter of a right triangle is 24 meters, and the area is 24 square meters. The lengths of the sides are each multiplied by 4. What is the area of the new triangle? help
Answer:
384m
Step-by-step explanation:
24 x 4 = 96
96 x 4 = 384
Answer:
the real answer is 96
Step-by-step explanation:
15x - 5y = 30 in slope intercept form
Answer:
y = 3x - 6
Step-by-step explanation:
Slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
15x - 5y = 30
Subtract 15x from each side
15x-15x - 5y =-15x+ 30
-5y = -15x+30
Divide each side by -5
-5y/-5 = -15x/-5 +30/-5
y = 3x - 6
Answer:
[tex]y = 3x - 6[/tex]
Step-by-step explanation:
[tex]15x - 5y = 30 \\ - 5y = 30 - 15x \\ \frac{ - 5y}{ - 5} = \frac{30 - 15x}{ - 5} \\ y = - 6 + 3x \\ y = 3x - 6[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
The ages of Hari and Harry are in the ratio 5:7. Four years later from now the ration of their ages will be 3:4. Find their present ages..............................Pls i need help
Answer:
20 and 28
Step-by-step explanation:
Let x represent the current age of Hari and y represent the current age of Harry
Since the current ratio is 5:7:
5/7 = x/y
→ 5y = 7x (1)
Hari's age will be x+4 and Harry's age will be y+4 four years later. Since the ration of their ages will be 3:4 four years later:
3/4 = (x+4)/(y+4) (2)
→ 3(y+4) = 4(x+4)
→ 3y + 12 = 4x + 16
→ 3y = 4x + 4 (Substitute the y as 7x/5 from the equation 1)
→ 3(7x/5) = 4x + 4
→ 21x = 20x + 20
→ x = 20
y = 7x/5 = 7(20)/5 = 28
Mateo's wage is £420 per week.
He spends 1/3 of his wage on food.
35% goes on the household bills and the rest is saved.
How much does Mateo save each week?
Answer:
He saves £133 every week
2b) A farmer is building a pen inside a barn. The pen will be in the shape of a right triangle.
The farmer has 14 feet of barn wall to use for one side of the pen and wants another side of the pen to be 15 feet long.
a. To the nearest tenth of a foot, find all possible lengths for the third side of the triangle.
b. The farmer wants the area of the pen to be as large as possible. What length should he choose for the third side? Justify your answer.
Answer:
For the pen to be as large as possible, the length the farmer should choose for the third side should be 20.52 feet
Step-by-step explanation:
The length of one side of the right triangle = 14 feet
The length of the other side = 15 feet
Therefore, the length of the third side can be one of the following side lengths;
[tex]S_{3,1} = \sqrt{14^2 + 15^2} = \sqrt{421} = 20.52 \ feet[/tex]
[tex]S_{3,2} = \sqrt{15^2 - 14^2} = \sqrt{29} = 5.39 \ feet[/tex]
The possible lengths of the third side of the triangle are;
Third side = 20.52 feet and
Third side = 5.39 feet
b. For the area of the pen to be as large as possible, we have;
With third side = 20.52 feet, area of the pen = 0.5 × 15 × 14 = 105 ft²
With third side = 5.39 feet, area of the pen = 0.5 × 5.39 × 14 = 37.7 ft²
Therefore, for the pen to be as large as possible, the farmer should choose 20.52 feet as he third side.
Answer:
a. c ≈ 20.5 ft (first possibility)
b ≈ 5.4 ft(other possibility)
b. The farmer should choose the side that has 20.5 ft for the third side because it provide more larger area as needed by the farmer.
Step-by-step explanation:
The pen the farmer wants to build is a right angle triangle. one side of the triangle is 14 ft while another side is 15 ft.
A right angle triangle has opposite side, adjacent side and an hypotenuse which is the longest side.
a. To the nearest tenth of a foot, find all possible lengths for the third side of the triangle.
Pythagoras theorem can be used to solve any sides of the triangle when given 2 sides.
We are not told which side is the hypotenuse or the adjacent or the opposites side. Therefore , the possible length for the third side can be computed using Pythagoras theorem.
c² = a² + b²
c = hypotenuse
while a and b can be any of opposite or adjacent sides. The first possible length can be when both sides are the legs of the triangle (no hypotenuse)
c² = 14² + 15²
c² = 196 + 225
c² = 421
c= √421
c = 20.5182845287
c ≈ 20.5 ft (first possibility)
The other possibility of the third side is when the hypotenuse is Known and one other side(either adjacent or opposite). We can use only 15 since it should be the longest side.
c² = a² + b²
c² - a² = b²
15² - 14² = b²
225 - 196 = b²
b² = 29
b = √29
b = 5.38516480713
b ≈ 5.4 ft(other possibility)
b. The farmer wants the area of the pen to be as large as possible. What length should he choose for the third side? Justify your answer.
The two scenarios are as follows
First area
area = 1/2 × base × height
area = 1/2 × 14 × 15 = 210/2 = 105 ft²
Second area
area = 1/2 × base × height
area = 1/2 × 5.4 × 14 = 75.6/2 = 37.8 ft²
The farmer should choose the side that has 20.5 ft for the third side because it provide more larger area as needed by the farmer.
For each sequence, find the first 4 terms of a sequence:
a) n²+3
b) 2n²
Answer:
a) 4, 7, 12, 19
b) 2, 8, 18, 32
Step-by-step explanation:
Sequence is just number line sir, so to begin with you get n=1, then n=2, then n=3, then n=4, these are the first 4 terms
Answer:
a) 4, 7, 12, 19
b) 2, 8, 18, 32
Step-by-step explanation:
In order to find the first 4 terms, you have to substitute 1 to 4 into n for both expressions :
[tex]a) {n}^{2} + 3[/tex]
[tex]1st \: term \\ {1}^{2} + 3 = 4[/tex]
[tex]2nd \: term \\ {2}^{2} + 3 = 7[/tex]
[tex]3rd \: term \\ {3}^{2} + 3 = 12[/tex]
[tex]4th \: term \\ {4}^{2} + 3 = 19[/tex]
[tex]b)2 {n}^{2} [/tex]
[tex]1st \: term \\ 2( {1}^{2} ) = 2[/tex]
[tex]2nd \: term \\ 2( {2}^{2} ) = 2(4) = 8[/tex]
[tex]3rd \: term \\ 2( {3}^{2} ) = 2(9) = 18[/tex]
[tex]4th \: term \\ 2( {4}^{2} ) = 2(16) = 32[/tex]
Need HELP!!!!!! Write the point-slope form of the line that passes through (6, 1) and is perpendicular to a line with a slope of -3. Include all of your work in your final answer.
Answer:
y = 1/3x - 1
Step-by-step explanation:
1. if the gradient is -3, then the gradient of the perpendicular line should be 1/3.
2. substitute the new gradient and points into y - y1 = m (x - x1)
3. rearrange/move everything to give you the equation in y = mx + c form
ahh please help me with this question!!!!
Answer: B. 2∛3
Step-by-step explanation:
[tex]24^\frac{1}{3}[/tex] is equivalent to ∛24. This can actually be simplified. We can use prime factorization to simplify the cubed root.
24
/ \
2 12
/ \
2 6
/ \
2 3
From this prime factorization tree, we want to find a group of 3. The same number that appears 3 times.
We see that there are 3 2's. They are bolded above. Since there is a group of 3, we can pull the 2 out of the cubed root, as we are left with a 3 inside (underlined above).
Our final answer is 2∛3.
5.Sebuah kapal selam berada 420.5 m di bawah aras laut. Kapal selam itu menyelam sedalam 185.6 m dan kemudian menaik 200.9 m. Tentukan kedudukan baharu kapal selam itu berpandukan aras laut.
When will 4a ≤ 16 be true?
Answer:
It will be true when a ≤ 4
Step-by-step explanation:
You can plug in the number to see if it is correct. 4(4) ≤ 16. Sorry, I'm not the best at explaining things.
Which of the following equations is equivalent to S = pi r squared h?
Q: Which of the following equations is equivalent to S = pi r squared h?
A: B (CC ALGEBRA 2A, ED20)
The equations is equivalent to S = pi r squared h would be; B. h=S/πr²
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
To know the equation equivalent to πr²h, we will make h the subject of the formula from the one given in equation.
S = πr²h
To get h, we needd to divide both sides by the coefficient of h (i.e πr²)
S/πr² = πr²h/πr²
S/πr² = h
h = S/πr²
This equation shows that h = S/πr² is equivalent to S = πr²h
Learn more about equations here;
https://brainly.com/question/25180086
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Please help with this question !
Answer:
to solve an equation you do PEMDAS in reverse.
Step-by-step explanation:
Add 1 to both sides.
multiply both sides by 4
square root both sides
now solve what's inside the parentheses by subtracting 5 from both sides.
Answer:
see below
Step-by-step explanation:
Add 1 to both sides
multiply both sides by 4
take the square root of both sides
subtract 5 from both sides
What is the Y-INTERCEPT from the equation? y=5x + 12*
A) 5
B) 12
Answer:
B-12
Step-by-step explanation:
Answer:
B) 12
Step-by-step explanation:
Set x equal to zero and you get y= 12
Between 11 P.M. and 8:45 A.M., the water level in a swimming pool decreased by 3/8 in. Assuming that the water level decreased at a constant rate, how much did the water level drop each hour?
Answer:
the water level drop per hour is [tex]\frac{1}{26}\,\,\frac{in}{h} \approx 0.03846\,\,\frac{in}{h}[/tex]
Step-by-step explanation:
Notice that in between 11 PM and 8:45 AM on the following day, there is a change in time equal to 9 hours and 45 minutes = 9.75 hours.
If the water level of the pool dropped by 3/8 of an inch, and the rate was constant, then the rate of level drop per hour is:
[tex]\frac{\frac{3}{8} in}{9.75\,h} =\frac{1}{26}\,\,\frac{in}{h} = 0.03846\,\,\frac{in}{h}[/tex]
Find the slope of the line that passes through (2, 12) and (5, 10).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
The right answer is -2/3
please see the attached picture for full solution
Hope it helps..
Good luck on your assignment..
Answer:
-2/3
Step-by-step explanation:
m = (y2-y1)/(x2-x1)
(10-12)/(5-2) = -2/3
Suppose statement p is true but statement q is false. Which of these compound statements are true? Check all that apply. p ∧ q p ∨ q p → q q → p p ↔ q q ↔ p
Answer:
p ∨ q → True
(q → p) → True
Step-by-step explanation:
If the truth value of the statement p is 'True' and truth value of statement q is 'False',
p ∧ q → False [Conjunction of both the statements will be true only when both the statements are True]
p ∨ q → True [Disjunction of two statements will be false only when both the statements are false]
(p → q) → False
(q → p) → True [Implication of both the statements is false only when p is true and q is false otherwise true]
(p ↔ q) → False [Bi-conditional statements are true if and only when both the statements are true]
(q ↔ p) → False
Answer:
Your answer would be answer two and four.
Could someone help me
out with this question?
How long is the shorter leg of the triangle?
Answer:
6 is the answer
Any line perpendicular to the line y = 2x +4 has a slope of -2.
True
False
Thank you sm if you can help me :)
Answer: FALSE
You get y = 2x +4 so the slope is 2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is -1/2.
Michael just drank a cup of coffee to help him stay awake. The coffee had 110 milligrams of caffeine in it. If his body
processes 5% of the caffeine every hour, how much will be left in 8 hours?
The body uses 5%, so 95% of the previous amount is left every hour:
Total = start value x (1- %)^time
Total = 110 x(0.95)^8
Total left = 72.9762 milligrams
Round the answer as needed.
Need help with this please
Answer:
The third side is sqrt(77)
Step-by-step explanation:
Since this is a right triangle we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
2^2 + b^2 = 9^2
4+ b^2 = 81
Subtract 4 from each side
b^2 = 81-4
b^2=77
Take the square root of each side
sqrt(b^2) = sqrt(77)
b = sqrt(77)
The third side is sqrt(77)
How do I post a picture
Answer:
Go to me. Click on your profile picture then click on your profile picture again to change it
-1/3 multiplied by 1/4
Answer:
[tex] - \frac{1}{12} \\ [/tex]
Step-by-step explanation:
[tex] - \frac{1}{3} \times \frac{1}{4} \\ \\ = - \frac{1}{12} [/tex]
calcule abc + bca+cab (a + b + c) =225
Answer:
Step-by-step explanation:
learn it
