Answer:
y = 2x + 5
Step-by-step explanation:
REMEMBER:
The new line will be parallel to the line represented by y =2x +2⇒ The equation y = 2x + 2 is written in slope- intercept form (i.e. y=mx + b) where m represents the slope. So the slope of this line is 2. A line parallel to y = 2x + 2 will have the same slope. This means the slope of the new line will also be 2.
To determine the equation of the new line, we can use the given point to find the y intercept of the new line:
⇒ y = 2x + b
Use x = -1 and y =3 to find b (or the y intercept ) of the new line:
⇒ 3 = 2 * (-1) + b
⇒ 3= -2 + b
⇒ b=5
Therefore, the equation of the line passing thru (-1,3) with the same slope as that of y = 2x + 2 will be:
⇒ y = 2x + 5
Answer:
y = 2x + 5
Step-by-step explanation:
Given line equation 2x - y + 2 = 0
Equation of line parallel to this line will be of form
=> 2x - y + k = 0 ( where 'k' is a constant )
Now this line passes through (-1,3)
=> 2(-1) - (3) + k = 0
=> -2 - 3 + k = 0
=> k - 5 = 0
=> k = 5
Therefore the required line equation is 2x - y + 5 = 0 or y = 2x + 5
Hope you've understood the solution.
A boy has 380 prize tickets he wants to exchange for action figures at a prize booth. At
this prize booth 5 tickets can be exchanged for a large action figure, and 7 tickets can be
exchanged for 2 small action figures. The boy wants 4 times as many small action figures as
large action figures. Based on this information, can the boy get 80 small action figures?
Answer:
yes the boy can get 80 small action figures
Answer:
Yes
Step-by-step explanation:
Given
380 tickets in possession5 tickets → large action fig.7 tickets → 2 small action fig.Boy wants 4 times small action fig. as large action fig.Solving
We need to find if he can get 80 small fig.S = 805L + 7(2S) = 3805L + 280 = 3805L = 100L = 20Now, our condition was that : [number of small fig. = 4 x number of large fig.]80 (small) = 4 x 20 (large) [∴ verified]⇒ He can get 80 small action figuresHelp pls! I rlly need this
Answer:
799.04
Step-by-step explanation:
First take the area of the rectangle, which would be 50 × 20 = 1000.
Then find the area of the circle. The area of a circle is [tex]\pi r^{2}[/tex]. Since the question says to use 3.14 for pi, your area would be 3.14 × 8².
8² equals 8 × 8 which is 64 and 3.14 times 64 is 200.96.
Since the circle is not part of the shaded area, you subtract the area of the rectangle by the area of the circle. 1000 - 200.96 is 799.04
If y - 18 = 14, what is the value of 3(y + 5)?
Answer:
y-18=14
add 18 on both sides
y=32
plug that into the equation below
3(Y+5)
3(32+5)
add 32 and 5
3(37)
multiply
3
....
3 x 37 = 111
Jace owns a small business selling bagels. He knows that in the last week 37 customers paid cash, 6 customers used a debit card, and 11 customers used a credit card. If next week, he is expecting 900 customers, about how many would you expect to pay with a credit card? Round your answer to the nearest whole number.
Answer:
268
Step-by-step explanation:
11/37=credit card
11/37=x/900
900 divided by 37=24.3
24.3 times 11=267.56
round it to 268
Find the 18th term in the arithmetic sequence.
2, 8, 14, 20, 26, ...
87
110
104
102
Answer:
104
Step-by-step explanation:
1st term + or - common difference (term -1)
common difference is +6
2 + 6 (18-1)
2 + 6 (17)
2 + 102
104
How many symmetrical sides does a star have?
Answer:
Depends on how many points the star has. For example, a 5 pointed star will have 5 lines of symmetry. Knowing this, you should be able to count using a diagram or drawing of the star
A copy machine prints 10 copies per minute.
At what rate, in copies per minute, does the copy machine print?
Enter your answer in the space provided.
The rate in copies per minute the copy machine print is 10 copies per minutes.
What is rate?Rate is the ratio between two related quantities in different units.
In other word rate is a quotient of two measurements with different units.
In our case we were asked to find the rate at which the machine prints per minutes.
The two related quantities are amount printed and the time in minutes.
Since, the copy machine prints 10 copies in one minutes, the rate at which the copy machine print per minute is 10 copies per minutes.
learn more on rate here: https://brainly.com/question/14199541
please answer
Tomato seed packets are sold in packs of 6 for $2.88. Watermelon seed packets are sold in packs of 4 for $3.04. How much more do the watermelon seeds cost per packet? a) 0.26 b) 0.20 c) 0.28 d) 0.48
Answer:
C) $0.28 per packet
Step-by-step explanation:
I divided them to find how much each packet costs
Each pack of watermelon costs $0.76
Each pack of tomato seed packet costs 0.48
Subtract and you have your answer!
0.76 - 0.48 = 0.28
18. Use the quadratic formula to solve 4x2-3x - 1 = 0.
O {-1,1}
O {1,1}
O {-1,-1}
O {-1}
Answer:
using quadratic formula check the attachment
9. The area of a rectangle is 12x + 15. The
length of the rectangle is 6. What is the
width of the rectangle?
Answer:
oh that's hard lol just go to the lowest number and times it on a piece of paper
1.74 multiplied by what equals 5.22
A quadratic equation is shown below. x^2 – 16x + 50 = 0 Which of the following is an equivalent form of the above equation? (x - 1612 114 (x - 5)2 = 14 (x - 82 = 114 o O (r = 16)2 = 14
Answer:
Step-by-step explanation:
( a ± b )² = a² ± 2ab + b²
~~~~~~~~~
x² - 16x + 50 = 0
( x² - 2(x)(8) + 64 ) - 64 + 50 = 0
( x - 8 )² - 14 = 0
( x - 8 )² = 14
Answer:
(x-8)^2=14
:)
Step-by-step explanation:
how many right angles in this shape the shape is a trapezoid
Answer:
Two
Step-by-step explanation:
Since two of the angles are 90 degrees, they are right angles.
Answer: There are 2 right anges in a trapizoid
Step-by-step explanation:
1 is on the bottom lieft side 2nd one is on the other is on the bottom right sideAn employee wants to invest $50,000 in a pension plan. One investment offers 4% compounded quarterly. Another offers 3.75% compounded continuously.
(a) Which investment will earn more interest in 4 yr?
(b) How much more will the better plan earn?
Using compound interest and continuous compouding, it is found that:
a) The investment at 4% compounded quarterly will earn more interest in 4 years.
b) The better plan will earn $537 more.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year.In this problem, the parameters are: P = 50000, r = 0.04, n = 4, t = 4, hence the amount will be of:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(4) = 50000\left(1 + \frac{0.04}{4}\right)^{4 \times 4}[/tex]
A(4) = $58,629.
What is the continuous compounding formula?It is given by:
[tex]A(t) = Pe^{rt}[/tex]
In this problem, this option has r = 0.0375, hence:
[tex]A(4) = 50000e^{0.0375 \times 4} = 58092[/tex]
Then:
Item a:
The investment at 4% compounded quarterly will earn more interest in 4 years.
Item b:
58629 - 58092 = $537.
The better plan will earn $537 more.
More can be learned about compound interest at https://brainly.com/question/25781328
Having a hard figuring this one out
Sam is climbing 9000 m every 30 minutes. How many meters will he climb in 1 hour
Answer:
18000 m
Step-by-step explanation:
Hey there!
In order to solve this problem, we need to first know how many minutes are in an hour
As you know, there are 60 minutes in an hour so this means in 1 hour, he will climb 9000 meters two times
So 9000 two times is 18000,
Meaning, in 1 hour, Sam will climb 18000 m
Answer:
18,000m in an hour
Step-by-step explanation:
We know this because if its 9000 m in 30 minutes, we can do 9000 x 2 and get 18,000m for an hour.
Sam paid a total of $750 for 10 tickets to a football game. The money is taken from his bank account.
Which expression represents the dollar amount that was taken from Sam's bank account.
Answer:$740
Step-by-step explanation: subtract 750 - 10 and there’s your answer look where it says “The money is taken from his bank account” that’s how you know you should subtract by the word take. Hope this helps
Super easy 7th grade math worth a lot of points
Answer:
you can find the answer in the given attachment
Step-by-step explanation:
1-P
2-G
3-T
4-O
5-S
6-E
7-D
8-C
9-A
pls help fast!!! will give brainliest!!!!!!
Answer:
A. About 47.5π
B. About 149.1
solve: answer is x is greater than or equal to 3.
Answer:
x ≥ 5
Step-by-step explanation:
[tex]\sf 4x+3\ge \:23[/tex]
subtract 3 from both sides
[tex]\sf 4x+3-3\ge \:23-3[/tex]
simplify
[tex]\sf 4x\ge \:20[/tex]
divide both sides by 5
[tex]\sf \dfrac{4x}{4}\ge \dfrac{20}{4}[/tex]
simplify
[tex]\sf x\ge \:5[/tex]
Answer:
x ≥ 5
Step-by-step explanation:
To simplify the given inequality, we need to isolate the variable "x".
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
Step-1: Subtract 3 both sides
4x + 3 ≥ 23
⇒ 4x + 3 - 3 ≥ 23 - 3
⇒ 4x ≥ 23 - 3
⇒ 4x ≥ 20
Step-2: Divide 4 both sides
⇒ 4x ≥ 20
⇒ 4x/4 ≥ 20/4
⇒ x ≥ 5
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
(Note: The solution of the book you provided in your question is incorrect. Seek below for proof)
*answer is x is greater than or equal to 3.*
Substituting 3 in the inequality:
4x + 3 ≥ 23
4(3) + 3 ≥ 23
12 + 3 ≥ 23
15 ≥ 23 (False)
Need help with this question ! Due soon*
Answer:
x = 10, AB = 57
Step-by-step explanation:
In a trapezoid, the length of the median is one-half the sum of the lengths of the bases. From this, we have:
[tex] \frac{1}{2} (5x + 7 + 8x - 11) = 63[/tex]
[tex]13x - 4 = 126[/tex]
[tex]13x = 130[/tex]
[tex]x = 10[/tex]
[tex]5(10) + 7 = 50 + 7 = 57[/tex]
A class has 26 students. Each student has to present a project to the class. To decide the order, the teacher writes every letter in the
alphabet on pieces of paper and puts it in a hat. What is the probability that the first letter drawn is not a vowel?
A. 7/26
B. 19/26
C. 21/26
D. 5/26
Answer:
Choice B.
19/ 20
Step-by-step explanation:
This is because there are 26 letters in the alphabet, 19 of which are non-vowels.
Answer:
21/26
Step-by-step explanation:
because there are 26 letter in the alphabet
and there are 5 vowels
so 26 - 5 = 21
21/26
A multiple-choice test has five possible answers for each question. If a student guesses at the answer, what is the probability that he or she selects the correct answer for one particular question?
Answer:
20% chance of getting the right answer
Step-by-step explanation:
he has a 1/5 chance, translated into 20 percent
HELPP!!
For which value of h will the equation below
result in an infinite number of solutions?
(3x - 8)h = -27x + 72
Answer:
h = -9
Step-by-step explanation:
Try to make the left hand side and the right hand side equal. By dividing like
h = (-27x+72)/(3x-8)
= [-9(3x-8)]/(3x-8)
= -9
When both sides are equal, you can't find the value of x as there are infinitely many solutions of x.
Find the area of the Rhombus below.
Answer:
90m^2
Step-by-step explanation:
1/2 d1*d2
1/2 12*15
1/2*180
90 Square meter
Help picture below problem 13
help me find Find AB
The distance of AB is 42.04 units, BC is 35.77 units and CA is 34.5 units.
We have,
The length along a line or line segment between two points on the line or line segment.
The coordinates of A are (-18, -18)
coordinates of B are (20, 0)
coordinates of C are (-12, 16)
The formula for distance is Distance=√(x₂-x₁)²+(y₂-y₁)²
Distance AB=√(20-(-18))²+(0-18)²
=√(20+18))²+(0-18)²=√38²+18²
AB=√1444+324
=√1768
=42.04 units
Distance BC=√(-12-20)²+(16)²
=√(-32)²+(16)²=√1024+256
=√1280
=35.77
Distance CA=√(-12-(-18))²+(16+18)²
=√(6)²+(34)²
=√36+1156=34.5
Hence, the distance of AB is 42.04 units, BC is 35.77 units and CA is 34.5 units.
To learn more on Distance click:
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complete question:
PLease help me find the distance between AB BC and CA please help
(a) Write down the angle between the vector i + j and the vector i- j.
(6) Calculate the angle between the vector 2i + 5j and the vector 4i.
(2)
(c) Two forces, A = (14i +2j) N and B = (2i - 6j) N, act on a ball.
Show that the magnitude of A is Root k times larger than the magnitude of B, where k is
an integer
(3)
(b) The greatest four-digit number made with the digits 1, 0, 9, 2 is divided by the smallest three-digit number made with 1, 9, 2. Find the quotient and the remainder.
Answer:
Quotient = 70
Remainder = 50
Step-by-step explanation:
The greatest number you can make is 9210, the smallest 3-digit number is = 129.
9210 / 129 = 71 with 50 left
so:
70 is the quotient and 50 is the remainder
Would appreciate some help
Answer:
e) 36x² - 32y³ = (4)(9x² - 8y³)
f) 45a⁴ - 54a³ = (9a³)(5a - 6)
Step-by-step explanation:
e) 36x² - 32y³ = (4)(9x² - 8y³) becuase 4*9 = 36 and 4*8 = 32
f) 45a⁴ - 54a³ = (9a³)(5a - 6) becuase 9*5 = 45 and 9*6 = 54 and when a is multiplied by a³ you get a⁴
(the exponent are added)
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
