Answer:
a) x = -1.5
b) x = 1
Step-by-step explanation:
For problem a, you can start by subtracting 3x from both sides to gather all the like terms together:
7x + 5 = 3x - 1
-3x -3x
4x + 5 = -1
Next, to get the coefficients on one side, you subtract 5 from both sides:
4x + 5 = -1
-5 -5
4x = -6
Now, you divide by 4 on both sides to isolate x:
x = -6/4 = -1.5 --- > x = -1.5
For problem b, you start by subtracting 3x from both sides(kinda like problem a):
5x + 12 = 3x + 14
-3x -3x
2x + 12 = 14
Next, you can subtract 12 from both sides, isolating the "x term".
2x + 12 = 14
-12 -12
2x = 2
Lastly, you can divide by 2 to get x:
x = 1
1:
[tex]7x +5=3x-1\\7x+5-3x=-1\\7x-3x=-1-5\\4x= -1-5\\4x= -6\\x=-\frac{6}{4} (en donde ambos se divide entre 4)\\Respuesta / x=-\frac{3}{2}[/tex]
2:
[tex]5x+12=3x + 14\\5x+12-3x=16\\5x-3x=16-12\\2x= 16-12\\2x= 4\\x=4/2\\( se divide entre 2)x= 2[/tex]
2) Poe Tayto wants to
know how long it will take an investment of $1,000
to earn $500 in interest if the yearly interest rate is 4.75%. Please answer fast and show work I will mark you as brain
Answer:
It will take 8.73 years.
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $1,000
Future value (FV)= $1,500
Interest rate (i)= 4.75% compounded annually
To calculate the time required for the initial investment to reach the objective, we need to use the following formula:
n= ln(FV/PV) / ln(1+i)
n= ln(1,500/1,000) / (1.0475)
n= 8.73
It will take 8.73 years.
What is the y-intercept of the line y=4x-3?
PLSS HELP ME I NEED HELP NOW PLSS
Answer:
1. True
2. False
3. True
4. False
5. True
6. False
7. True
8. True
9. True
10. True
Explanation:
Got the answers following triangle classification rules.
Answer:
1) True
2) False
3) True
4) True
5) False
6) False
7) False
8) True
9) True
10) True
These are the answers i guess............
Step-by-step explanation:
EASY POINTS!! EASY POINTS!!
Above are two different models of the same rectangle. If the length of the model on the top is 6 cm, what is the length of the model on the bottom?
A. 36 cm
B. 15 cm
C. 21 cm
D. 12 cm
Answer:
A. 36cm
Step-by-step explanation:
When measuring it with a ruler, you will get six of the top rectangle
6 x 6 = 36
pls pls pls help if you know!! I’ll give brainliest pls!
Find the length of arc AC to the nearest tenth
Answer:
135
Step-by-step explanation:
if you think about it al cicle = 360 so its 360- 225= 135
ifa = 2 and b = 3, which is the value of 4a3b2, O A. 100 OB. 144 OC. 288 D. 4608 E. 31104
Answer:
144
Step-by-step explanation:
The simplified equation would be 4x2x3x3x2 and that put into a calculator is 144
Select the correct answer.
Which statement is true about this equation?
-9(x+ 3) + 12 = -3(2x + 5) - 3x
OA
The equation has one solution, x= 1.
OB.
The equation has one solution, x= 0.
O C.
The equation has no solution.
OD. The equation has infinitely many solutions.
please help me neddddd itttt
Answer:
Below.
Step-by-step explanation:
h = 112 degrees (opposite angles are equal).
t = h = 112 degrees (corresponding angles are equal).
Parallelogram CDEF is formed inside of rectangle AEBC to create triangle ADC and triangle EBF as shown in the model below.
How much greater is the area of parallelogram CDEF than the area of triangle EBF in square centimeters?
The areas of the parallelogram CDEF and triangle EBF can be calculated
from which the difference between the areas can be found.
Response:
The amount by which the area of parallelogram CDEF is greater than the area of triangle BF is C. 493.5 cm².Which methods can be used to evaluate the areas of the regular shapes?Area of the parallelogram CDEF = CF × EB
Which gives;
Area of the parallelogram CDEF, A = 29 cm × 21 cm = 609 cm²
Area of triangle EBF = [tex]\mathbf{\frac{1}{2}}[/tex] × BF × EB
Which gives;
Area of triangle EBF, [tex]A_{EBF}[/tex] = [tex]\frac{1}{2}[/tex] × 11 cm × 21 cm = 115.5 cm²
The difference in area, ΔA = A - [tex]\mathbf{A_{EBF}}[/tex]
Which gives;
ΔA = 609 cm² - 115.5 cm² = 493.5 cm²
The area of parallelogram CDEF is 493.5 cm² greater than the area of triangle BFThe correct option is C. 493.5 cm²Learn more about the area of regular shapes here:
https://brainly.com/question/10572314
The population of Springville was 3543 when Oliver was born.
If the population increases at a rate of 2.7% per year, which equation could be used to determine when the population will be 4125, where x
is the number of years after Oliver was born?
A-3543 = 4125(0.027)*
B. 3543 = 4125(1.027)
O C. 4125 = 3543(0.027)"
D. 4125 = 3543(1.027)*
What should you do first in solving the quadratic equation?
x² + 18x + 81 = 25
Answer:
x= -4,-14
Step-by-step explanation:
Try first to solve the equation by factoring. Be sure that your equation is in standard form before you start your factoring attempt.
Use the terms free fall, gravitational acceleration, air resistance and
terminal velocity to explain:
1. why whether a wing suit pilot is in free fall or not, and
2. how a parachute allows him/her to land on the ground safely.
Write a few sentences here:
Answer:
1. A wingsuit pilot is not in freefall.
2. The parachute increases air resistance, decreasing the pilot's acceleration, thus decreasing terminal velocity and allowing the pilot to land safely.
Step-by-step explanation:
1. An object is in freefall when the only force acting on it is the force of gravity. An object does not necessarily need to moving at a certain speed to be in freefall. Because the wingsuit pilot's wingsuit creates a heavy amount of air resistance, the force of gravity is not the only force acting on the object. Therefore, the object is not in freefall.
2. By increasing the surface area or cross-section perpendicular to the force of gravity, the parachute creates a heavy amount of air resistance. Since air resistance acts opposite in direction to the force of gravity, the pilot will have a lower terminal velocity and will reach the ground at a dramatically lower speed, thus allowing them to land safely.
2. What is the solution to the equation..
5m − (m + 4) = 2?
f. -1/2
g. 1/2
h. 1
j. 3/2
k. 3
Answer:
J. 3/2
Step-by-step explanation:
Let's solve your equation step-by-step.
5m−(m+4)=2
Step 1: Simplify both sides of the equation.
5m−(m+4)=2
5m+−1(m+4)=2(Distribute the Negative Sign)
5m+−1m+(−1)(4)=2
5m+−m+−4=2
(5m+−m)+(−4)=2(Combine Like Terms)
4m+−4=2
4m−4=2
PLS IS NEEDED PLS HELP!!
Answer: 19°
Step-by-step explanation: 90+71= 161
180-161= 19
(correct me if i’m wrong):)
please help asap!!!
Answer:
A. 0.13.
B. 0.15.
Step-by-step explanation:
For the first problem, subtract 0.87 from 1. You get 0.13.
For the second problem, add up 0.3 and 0.55 to get 0.85. Subtract this from 1 to get 0.15.
Hope this helps :)
A rectangular swimming pool has a volume of 16,320 cubic feet, a depth of 8 feet, and a length of 85 feet. What is the width of the swimming pool?
a) 24 ft
b) 48 ft
c) 192 ft
d) 2040 ft
The time it takes to travel a fixed distance varies inversely with the speed
traveled. If it takes Pam 40 minutes to bike to her fishing spot at 9 miles per
hour, how long will it take her if she rides at 12 miles per hour?
O
30 mins
0 53 mins
22.5 mins
O 2.7 hours
Answer:
53 mins
Step-by-step explanation:
The measure of arc CD is 175°. Determine the measure of DBC.
1) 350 2) 87.5 3) 5 4) 175
Answer:
∠ DBC = 87.5°
Step-by-step explanation:
The inscribed angle DBC is half the measure of its intercepted arc, then
∠ DBC = [tex]\frac{1}{2}[/tex] CD = 0.5 × 175° = 87.5°
I will give brainiest
Answer:
B. {1, -4}
Step-by-step explanation:
Just rotate the screen and look at the position.
ABCD is a parallelogram. Which statements are true?
Answer:
Final Answer: Statements 1, 2 and 4 are correct.
Step-by-step explanation:
Finding value of y:
2y + 3 = 15 => 2y = 12 => y = 6;
Finding value of x:
6x + 5 = 77 => 6x = 72 => x = 12;
Statement Number 1:
y² > 2x ? => 6² > 2 * 12 ? => 36 > 24 ?
Yes, 36 is bigger than 24, therefore statement one is correct.
Statement 2:
x = 2y ? => 12 = 2 * 6? => 12 = 12?
Yes, 12 is equal to 12. Statement 2 is correct.
Statement 3:
x + 2 = y + 10 ? => 12 + 2 = 6 + 10? => 14 = 16?
No, 14 is not equal to 16. Statement 3 is incorrect.
Statement 4:
y + 4 > x - 4 ? => 6 + 4 > 12 - 4 ? => 10 > 8 ?
Yes, 10 is bigger than 8. Statement 4 is correct.
If this helped you please rate
Final Answer: Statements 1, 2 and 4 are correct.
One leg of a right triangle is 14 cm longand the hypoteruuse is long. What is the approximate length of the other leg?
Answer:
14 cm
Step-by-step explanation:
In a class full of men and women,
2
5
of the class are women. What is the ratio of men to women in its simplest form?
Playing with toy alphabet blocks, Dani mixes four of the ABCDE blocks into some combination (doesn't care about the order.) Then she takes the XYZ blocks and carefully puts these into a specific order. How many different outcomes are possible for this arrangement of seven blocks?
Answer:
The total outcomes that are possible for this arrangement of seven blocks are 5C4 * 4! * 3!
Step-by-step explanation:
Given
Out of five blocks i.e ABCDE, four blocks need to be drawn.
Hence the possible ways of drawing four blocks out of total set of 5 blocks is
5C4
Now, the total number of ways of arranging these selected four blocks is 4!
The total number of ways of arranging three blocks is 3!
Hence, the total outcomes that are possible for this arrangement of seven blocks are 5C4 * 4! * 3!
PLEASE HELP!!! I’ll give brainlest
The bottom of the tree is 14 feet away from the house. The tree is 25 feet long. How tall is the house?
Answer:20.7 ft
Step-by-step explanation:
Why are these two figures simaliar
Answer:
Se parecen porque son proporcionales.
Step-by-step explanation:
Si le das vuelta a la figura pequeña de manera que quede en forma horizontal, la figura es la misma, solo cambia el tamaño.
Consider a circle centered at C(0,0). If the point P(3,5) lies on the circle, then which of the following points also lies on the circle?
A. (-2,6)
B. (6,-[tex]\sqrt{5}[/tex])
C. (1,[tex]\sqrt{33}[/tex])
D. (-2[tex]\sqrt{2}[/tex],4)
Answer:
C
Step-by-step explanation:
First find the equation of the circle
the general formula for a circle (x-h)² + (y-k)² = r² where (h=0, k=0) are the coordinates of the center and r is the radius that we do not know
the distance between the center (0, 0) and the point (3,5) is the radius
distance formula d² = (x2-x1)² +(y2-y1)² where (x1=0,y1=0) and (x2=3, y2=5)
d² = (3-0)² + (5-0)² = 3² +5² = 9+ 25 = 34 =r²
(x-0)² + (y-0)² = 34 ; x²+y² =34 is the equation of the circle
Second check if any of the points are on the circle by substituting x and y with de given coordinates.
A. for (-2, 6) we have (-2)²+6² =34 so 4+36 =34 false
B. for (6, -√5) we have 6²+(-√5)² =34 so 36+5=34 false
C. for (1, √33) we have 1²+(√33)² =34 so 1+33 =34 true
D. for (-2√2, 4) we have (-2√2)²+4² =34 so 8+16=34 false
How do I solve this?
13x + 3x + 2x = 180°
=> 18x = 180°
=> x = 180°/18
=> x = 10°
Ec is a diameter solve for x well i really dont know
Write the equation of the line in fully simplified slope-intercept form
Answer:
Take 2 points through which the line is passing.
Let it be (0, -3) and (1, 2)
[tex]slope ,m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} } = \frac{2--3}{1-0} = 2+3 = 5[/tex]
[tex]equation \ of \ the \ line = (y - y_2) = m(x - x_2)\\[/tex]
[tex](y - 2) = 5( x - 1)\\y - 2 = 5x - 5 \\y = 5x - 5 + 2\\y = 5x -3[/tex]
Danielle paid $5.57 for a fruit drink. She now has $27.53. How much money did she have before buying the fruit drink?
Answer:
$33.10
Step-by-step explanation: