Answer:
x = - [tex]\frac{3}{28}[/tex]
Step-by-step explanation:
Given
- [tex]\frac{2}{3}[/tex] x + [tex]\frac{3}{7}[/tex] = [tex]\frac{1}{2}[/tex]
Multiply through by 42 ( the LCM of 3, 7 and 2 ) to clear the fractions
- 28x + 18 = 21 ( subtract 18 from both sides )
- 28x = 3 ( divide both sides by - 28 )
x = - [tex]\frac{3}{28}[/tex]
7. Diane flew home from vacation with a heavy bag. With the first airline she 1 point
flew, Diane had to pay $14 to check her bag, plus $26 for every kilogram
that her bag was over the weight limit. The next flight was with another
airline that had the same weight limit. Diane had to pay $9 per kilogram
that her bag was over the weight limit, in addition to the checked bag fee
of $31. By coincidence, the fees ended up being the same with both
airlines. Write a system of linear equations to represent the situation. *
Your answer
Answer:
80
Step-by-step explanation:
In the figure shown, what additional information is needed to show that △ABC≅△DEF by ASA?
Enter your answers in alphabetical order.
Answer:
The additional information to show ΔABC ≅ ΔDEF by ASA is [tex]\overline {AB}[/tex] ≅ [tex]\overline {DE}[/tex]
Step-by-step explanation:
The given parameters in the figure are;
Angle m∠BAC is congruent to angle m∠FDE
Angle m∠ABC is congruent to angle m∠FED
Therefore, in order to show that ΔABC is congruent to ΔDEF, by the Angle-Side-Angle (ASA) rule of congruency, the additional information is the congruency of the included sides between the given angles as follows;
The additional information to show ΔABC ≅ ΔDEF by ASA is [tex]\overline {AB}[/tex] is congruent to [tex]\overline {DE}[/tex] which can be written as [tex]\overline {AB}[/tex] ≅ [tex]\overline {DE}[/tex].
Answer:
~
AB = CD
Step-by-step explanation:
what is the distance between the points (-4 -8) and (10 -8)?
Answer: 14 blocks
Step-by-step explanation: Go up on the y-axis by 14 and you'll get (10,-8).
Answer:
14 blocks :D :( :D
Step-by-step explanation:
Light travels about 186,000 mi/s.The function d(t)=186,000t gives the distance d(t),in miles, that light travels in t seconds. How far does light travel in 25 s
Answer:
5,580,000 miles
Step-by-step explanation:
d (30)= 186,000 x 30
Bob and Cheryl are taking a road trip that is 183.60 miles Bob drove 3/4 of the total distance.
How many miles did Bob drive?
Jerry gets price quotes from two different pool cleaning services for the cost of cleaning the pool. Company A charges $7 plus an additional $3 per hour. Company B charges $10 plus an additional $2 per hour. The total price quote for each company is the same amount. How many hours do the companies estimate it will take to clean the pool?
Answer:
3 hoursStep-by-step explanation:
Step one:
given data
price quotes from Company A
charges= $7
additional charges per hour= $3
let the number of hours be x
and the total be y
the linear function for the total is
y=3x+7
price quotes from Company B
charges= $10
additional charges per hour= $2
let the number of hours be x
and the total be y
the linear function for the total is
y=2x+10
if the total quote is the same , then
3x+7=2x+10
solve for x, collect like terms
3x-2x=10-7
x=3 hours
Camilla is creating gift baskets with scented soaps and bottles of bubble bath. She has 20 scented soaps and 15 bottles of bubble bath. If she wants all the gift baskets identical without any items left over, what is the greatest number of gift baskets Camilla can make?
Answer:
5 gift baskets
Step-by-step explanation:
We solve this question using the method of Greatest Common Factor
We are told in the question that She has 20 scented soaps and 15 bottles of bubble bath
Hence, we find the factors of 15 and 20
The factors of 15 are: 1, 3, 5, 15
The factors of 20 are: 1, 2, 4, 5, 10, 20
Then the greatest common factor is 5.
Hence, the greatest number of gift baskets Camilla can make is 5 gift baskets
Una escuela compró varios ejemplares del libro A, que cuesta $200.00, y del libro B, que cuesta $150.00. Compró en total 120 libros y pagó $20,500.00 por ellos. ¿Cuántos ejemplares de cada libro compró
Responder:
Copias del libro A = 50
Copias del libro B = 70
Explicación paso a paso:
Costo por libros A = 200
Costo por libro B = 150
Sea el número de libros A = x
Número de libros B = y
Número total de libros comprados = 120
Costo total = 20,500
x + y = 120 - - - (1)
200x + 150y = 20500 - - - (2)
De 1)
x = 120 - y
Sustituya x = 120-y en (2)
200 (120 - años) + 150y = 20500
24000 - 200y + 150y = 20500
24000 - 50y = 20500
-50 años = 20500 - 24000
-50y = - 3500
y = 70
x = 120 - y
x = 120 - 70
x = 50
What is the equation of the line that is parallel to the
given line and passes through the point (2, 3)?
x + 2y = 4
X + 2y = 8
2x + y = 4
2x + y = 8
Answer:
Its b. x + 2y = 8
Step-by-step explanation:
Right on edge
Answer:
b
Step-by-step explanation:
What is the y-intercept of the line y + 6 = -4(X - 1.5)
Answer:
y=0.
y + 6 = -4(X - 1.5)
y+6 = -4x+6
y = mx+b
y=4x
There isn't a b, which is the y intercept, so the y int would be 0
Evan's favorite hobby is origami. He plans to make 100 paper cranes to hang from the ceiling of his bedroom. Yesterday, he made 28 paper cranes in 4 hours. Today, he made 21 paper cranes at the same rate. How long did Evan spend making paper cranes today?
Answer:
Step-by-step explanation:
30
Answer:
200
Step-by-step explanation:
Solve 6x2 – 2x + 1 = 0) using the Quadratic Formula.
Answer:
decimal form
x = 6.5
exact form
x = 13/2
mixed number form
x = 6 1/2
For the given quadratic equation 6x² – 2x + 1 = 0, the value of x will be 1/6+i√5/6 and 1/6-i√5/6.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation. The quadratic formula, using square roots, factoring, and completing the square are the four ways to solve a quadratic equation.
It is given that the quadratic equation is,
6x² – 2x + 1 = 0
Apply arithmetic operations in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.
[tex]x_{1,\:2}=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:6\cdot \:1}}{2\cdot \:6} \\\\\ \\\ x_{1,\:2}=\frac{-\left(-2\right)\pm \:2\sqrt{5}i}{2\cdot \:6} \\\\\\\ x_1=\frac{-\left(-2\right)+2\sqrt{5}i}{2\cdot \:6},\:x_2=\frac{-\left(-2\right)-2\sqrt{5}i}{2\cdot \:6}\\\ \\\\x=\frac{1}{6}+i\frac{\sqrt{5}}{6},\:x=\frac{1}{6}-i\frac{\sqrt{5}}{6}[/tex]
Thus, for the given quadratic equation 6x² – 2x + 1 = 0, the value of x will be 1/6+i√5/6 and 1/6-i√5/6.
Learn more about quadratic equations here:
brainly.com/question/17177510
#SPJ2
Nicole made $187 for 11 hours of work.
At the same rate, how many hours would she have to work to make $119?
Answer:
hold on im working on it
Step-by-step explanation:
Solve these. PLEASE HELP IM GIVING 40 POINTS
Answer:
1. x=1
2. x=-1
3. No solution
4. x=2
5. x= -6
Step-by-step explanation:
Write down the two prime numbers after 47
Answer:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, etc. U CAN USE FROM HERE
Answer:
53 59 61 67 71 73 79 83 89 97
Step-by-step explanation:
23.45 divide by 1.5 please answer I really need help with my homework
Answer:
15.60 rounded
Step-by-step explanation:
23.45/1.5=15.63333333333333
15.63333333333333 rounded to the nearest 100th is 15.60
hope this helps :3
if it did pls mark brainliest
Every morning, Peter does the same 55-minute workout routine. He does a combination of jogging and floor exercises. The distance that Peter covers over time during his workout is shown in the graph below. Which statement is true of Peter’s morning workout routine?
Peter jogs the same distance from points A to C and D to F.
Peter stops jogging to do his floor exercises between points C and D.
Peter jogs at a constant speed to reach the distance at point C from point A.
Peter jogs for a longer period of time between points A and B than between points D and E.
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Since Peter exercises 55 minutes, he stops jogging to do his floor exercises between points C and D, and then continues to finish his workout.
Solve 1/4 ÷ 7 = ___.
Answer:
1 /28
Step-by-step explanation:
,,,,,,,,,,,,,,,,,,,,,,,
Answer:
30
80-50
Step-by-step explanation:
If Sarah bought 3 pounds of apples for $6.75 and Carlos got 2 pounds of apples for $4.52,who paid less per pound and got the better deal Sarah or Carlos?
Answer:
Sarah
Step-by-step explanation:
6.75/3 is the total for one pound . This = 2,25 while calros' 4.52/2 = 2.26. sarah paid one cent less, getting a better deal than carlos
Can anyone help me please will mark branliest if right
Answer:
Domain should be [-4, 5] if that is what the second x variable is.
Range should be [3, -5]
yes with brackets because it is closed
Step-by-step explanation:
BRAINLIST look at the picture for question pls need help
Answer:
1 answer is 30 2 answer is =
x=3 y=8
Step-by-step explanation:
PLEASE HELP ME OUT I DONT UNDERSTAND
Answer:
a.) x=12
b.) ∠A=50°
Step-by-step explanation:
See explanation on the other question. :D
Basically:
a.) All triangles' angles add up to 180°. Take all given values to set up an equation in which the sum is 180. Simplify and solve for x.
Result: x=12
b.) Insert the value of x into the given values of ∠A. Simplify.
Result: ∠A= 50°
Find the slope for me no?ill give more point for right answer
Answer:
3/2
Step-by-step explanation:
Rise / run
Hope this helps. Pls give brainliest.
A roller skating rink charges a flat rate of $5 to rent skates, plus $2.50 per hour to skate. You rent skates and skate for 3 hours. If you pay with a $20.00 bill, how much change do you get back?
Answer:
$7.50
Step-by-step explanation:
First, you multiply 3 and $2.50 (because you skate for 3 hours and it's $2.50 per HOUR to skate) 3 x 2.50 is $7.50 plus the flat rate of $5 is $12.50. So, your total altogether would be $12.50. So if you pay that total with $20, you have to subtract 12.50 from 20. 20 - 12.50 is $7.50. Your change will be $7.50. I hope this is correct! So sorry if it isn't!
Answer:
7.5
Step-by-step explanation:
First, you multiply 2.50 x 3. The answer to that is 7.50. Add on the renting skates, that is 12.50. Then, you subtract 12.50 from 20.00. The answer is 7.5.
Find the value of x and y
Please help me. Thank you
Answer:
Step-by-step explanation:
let each angle=A
A+A+A=180
3A=180
A=180/3=60°
as the angles are equal so sides are equal.
16+y=46
y=46-16=30
applying sine formula
[tex]\frac{30}{sin z} =\frac{46}{sin~80} \\sin~z=\frac{30}{46} \times ~sin~80=\frac{15}{23} \times sin ~80\\z=sin^{-1}( \frac{15}{23} \times sin ~80) \approx~39.96^\circ \approx40^\circ[/tex]
z+x=60
40+x=60
x=60-40=20°
Raquel bought a total of 18 roses and orchids. Roses were $2.50 each while orchids were $4.00 each. If she spent $54.00, how many of each did she purchase?
Answer: 6
Step-by-step explanation:
18 Roses were bought lets now split 18
| | | | | | | | | | | | | | | | | |
We split 18 into 6
WHPH - WORK HARD PLAY HARDER
Figure A is a scale image of figure B. Figure A maps to figure B with scale factor of 0.25.
What is the value of x ?
Solve for p: 9(p-4)=-189(p−4)=−18
Answer:
P= 3.27
Step-by-step explanation:
Hope this helps sorry for the crumbled paper
Answer:
its 2 :D
Step-by-step explanation:
F(5)=-3x+10 what will the domain and range be