Answer:
d. (-1,-2)
Step-by-step explanation:
-3x-5=9x+7
-5=12x+7
-12=12x
-1=x
y=-3x-5
y=-3(-1)-5
y=3-5
y=-2
George has 52 coins in quarters and nickels. He has a total of $3.60. How many quarters does he have?
there are 36 quarters.
Let the number of nickels be x
Let the number of quarters be y
Value Value
Type Number of of
of of EACH ALL
coin coins coin coins
-------------------------------------------
nickels x $0.05 $0.05x
quarters y $0.25 $0.25y
-------------------------------------------
TOTALS 52 ----- $3.60
The first equation comes from the second column.
x + y = 11
The second equation comes from the last column.
0.05x + 0.25y = 3.60
Get rid of decimals by multiplying every term by 100:
5x + 25y = 360
So we have the system of equations:
x+y=52
5x+25y=360
We solve by substitution. Solve the first equation for y:
x + y = 52
y = 52 - x
Substitute (52 - x) for y in 5x + 25y = 360
5x + 25(52 - x) = 360
5x + 1300 - 25x = 360
-20x + 1300 = 360
-20x = -940
x = = 5 the number of nickels.
Substitute in y = 52 - x
y = 52 - (5
y = 47 quarters.
The number of quarters is 52-x or 52-5 or 47 quarters.
Find the slope and y-intercept of 5x – y = 7. Reduce all fractions.
slope = - Ô =
y-intercept =
B
Answer:
slope= ( 5,1 ) Y-intercept= ( 0,-7 )
Step-by-step explanation:
7x-(3x+5)-8 = (1/2)*(8x+20) -7x +5
and
5(3x+4) -2x = 7x -3(-2x+11)
Answer:
For the first problem the answer is x=4
The second Problem the answer is no solutions
Step-by-step explanation:
7x−(3x+5)−8=1/2 (8x+20)−7x+5
7x+−3x+−5+−8=1/2(8x) +(1/2) (20)+−7x+5(Distribute)
7x+−3x+−5+−8=4x+10+−7x+5
(7x+−3x)+(−5+−8)=(4x+−7x)+(10+5)(Combine Like Terms)
4x+−13=−3x+15
4x−13=−3x+15
Step 2: Add 3x to both sides.
4x−13+3x=−3x+15+3x
7x−13=15
Add 13 to both sides.
7x−13+13=15+13
7x=28 Divide both sides by 7.
x=4
5(3x+4) -2x = 7x -3(-2x+11)
Simplify both sides of the equation.
5(3x+4)−2x=7x−3(−2x+11)
(5)(3x)+(5)(4)+−2x=7x+(−3)(−2x)+(−3)(11)(Distribute)
15x+20+−2x=7x+6x+−33
(15x+−2x)+(20)=(7x+6x)+(−33)(Combine Like Terms)
13x+20=13x+−33
13x+20=13x−33
Subtract 13x from both sides.
13x+20−13x=13x−33−13x
20=−33
Step 3: Subtract 20 from both sides.
20−20=−33−20
0=−53
There are no solutions.
Answer:
Step-by-step explanation:
7x-(3x+5)-8 = (1/2)*(8x+20) -7x +5
1. Distributive Property
7x - 3x - 5 - 8 = 4x + 20 - 7x + 5
2. Combine like terms
4x -13 = -3x + 25
3. Add 13 on both sides
4x -13 + 13 = -3x + 25 + 13
4x = -3x + 38
4. Add 3x on both sides
4x + 3x = -3x + 3x + 38
7x = 38
5. Divide by 7 on both sides
7x / 7= 38 / 7
x = 5.428571428571429
or
x = 5.4
__________________________________________________________
5(3x+4) -2x = 7x -3(-2x+11)
1. Distributive Property
15x + 20 - 2x = 7x + 6x - 33
2. Combine like terms
13x + 20 = 13x - 33
3. Subtract 20 on both sides
13x + 20 - 20 = 13x - 33 - 20
13x = 13x - 53
4. Subtract 13x on both sides
13x - 13x = 13x - 13x - 53
0 = -53 ( there is no answer for x)
Hope this helped!!!!
plzzzzzzzzzzzzzzzzzzz
Answer:
70x
Step-by-step explanation:
8x8 = 64x then +6x = 70x
Answer:
[tex]2x(4x+3)[/tex]
Step-by-step explanation:
The first thing to factorising this expression is to find the greatest common factor (GCF). For 8x² and 6x the gcf is 2x. So now we divide the 8x² and 6x by the 2x. Which comes out to 4x and 3, these will be inside the parentheses.
So it'll factorise to [tex]2x(4x+3)[/tex] and remember when we are dividing with exponents we subtract the exponents. So [tex]\frac{8x^2}{2x}[/tex] we will divide the coefficients together that'll be 4 and now for the exponents the 2 on the x² minus the 1 on the x will equal 1 so it'll be just x we don't place a one or anything.
Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.
Answer:
70 i am 100 percent sure
Step-by-step explanation:
1:10
7 70
PLEASE HELP! <3
What is the slope of the line?
Answer:
0
Step-by-step explanation:
The slope formula is (change in y)/(change in x)
since the numerator (change in y) is 0, the slope will be 0
Line p intersects line a and b. a b. By which theorem is a1 ≈ a8
PLEASE HELP!!
Answer:
option a
Step-by-step explanation:
alternate exterior angle theorem
Lauren has a bag containing 6 red, 8 blue, 5 green, 9 yellow, and 2 white marbles that are all the same size and shape. What is the probability or randomly choosing a white marble on the first pick, not replacing it, and then randomly choosing a green marble on the second pick?
Answer:
can someone give us the answer if its independent or dependent
Step-by-step explanation:
[tex]8 \sqrt{72} [/tex]
how to solve ??
Answer:
[tex]8 \sqrt{72} = 8 \sqrt{3 \times 3 \times 2 \times 2 \times 2} \\ = 8 \times 3 \times 2 \times \sqrt{2} = 48 \sqrt{2} [/tex]
48√2 is the right answer.C=5/9(F−32)
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
1. A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 5/9 degree Celsius.
2. A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
3. A temperature increase of 5/9 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
Answer:
D) I and II only
Step-by-step explanation:
does 18/24 and 15/20 form a proportion
Answer: yes
Step-by-step explanation:
when you simplify 18/24 goes to 3/4 and 15/20 simplifies to 3/4 as well so they are equivalent
2 1/4w =6 3/4 answers pls hurry
Answer:
3
Step-by-step explanation:
3 * 2 1/4 = 6 3/4
Need this very badly
2. This graph shows the solution for which inequality below?
10 20 30 40 50 60 70
80 90 100
A. = 25
B. 3x < 150
c x<10
D. 2x > 100
2
(A) A
в) В
( c) С
D
Answer:
the aswer would be B because x<50 therefor the highst posible value for x is 49 and 3x49 is 147 which is less than 150
7+(-4) please help thank you
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Note that adding a negative quantity is equivalent to subtracting the negative quantity, that is
7 + (- 4) = 7 - 4 = 3
Johnathan's salary for a four-week period was $7,396.00. What is the weekly salary?
Answer:
$1,849
Step-by-step explanation:
7,396/4=1,849
I’ll give you BRAINLEST PLEASE HELP
Answer:
Help with what?
Step-by-step explanation:
Someone please help me with this I really don’t know how to do this.
Answer:
Slope of the graph is steeper.
The answer is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]
Step-by-step explanation:
First we will find slope of the graph.
The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We need to find two points from the graph to find the slope.
Let we take point 1 (-2,1) and point 2 (1,2)
We will have: [tex]x_1=-2, y_1=1, x_2=1, y_2=2[/tex]
Now finding slope of the graph
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2-1}{1-(-2)} \\Slope=\frac{2-1}{1+2}\\Slope=\frac{1}{3}[/tex]
So, slope of the graph is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]
Now, we will find slope of Linear function.
It has x-intercept of 1 and y-intercept of -2
x-intercept means y=0
So, the point will be: (1,0)
y-intercept means x=0
So, the point will be: (0,-2)
We will have: [tex]x_1=1, y_1=0, x_2=0, y_2=-2[/tex]
Putting values and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-0}{0-(1)} \\Slope=\frac{-2-0}{0+1}\\Slope=\frac{-2}{1}\\Slope=-2[/tex]
So, the slope of linear function is: [tex]\mathbf{Slope=-2}[/tex]
Now, we need to find which of the slope is steeper.
The larger the value of slope, more steeper it is:
Now, comparing the slopes:
The slope of the graph is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]
The slope of linear function is: [tex]\mathbf{Slope=-2}[/tex]
We know that, [tex]\frac{1}{3}>-2[/tex]
So, Slope of the graph is steeper.
The answer is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]
How long is the rectangle? *
A rectangle is 5cm longer than it is wide.
The perimeter of the rectangle is 86cm.
How long is the rectangle?
Solution
here, length= 5cm
breath= ?
Perimeter= 86 cm
By the question,
Perimeter (P) = l×b = 86 cm
or, 5cm × b= 86 cm
or, b = 86÷ 5
or, b= 17.2 cm
solve for x pls hurry
Answer:
x=19
Step-by-step explanation:
5(x+35)=9(300
5x+175=270
5x=270-175
5x=95
95/5=19X
I need help immediately!!
Answer:
f (4) = 21
Step-by-step explanation:
the given equation is f (x) = 4x + 5
putting the value of x = 4
we get, f (4) = (4×4) + 5
f (4) = 16 + 5
f (4) = 21
i hope u got it
A submarine rises to the ocean's surface at 720 feet in 6 minutes. Find the points submarine's change in elevation per minute.
Answer:
The submarine gains 120 feet of elevation per minute.
Step-by-step explanation:
60% of what number is 880?
Answer:
1466.666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666
Step-by-step explanation:
Two books have a total of 345 pictures of dogs.
The first book has 121 pictures of dogs. How many
pictures of dogs are in the second book?
Answer:
224
Step-by-step explanation:
Simply do 345-121 to find the answer
What is the ratio of boys to girls in Mrs. Carlton's class, which has a total of 31 students, 14 of whom are girls?
Answer:
17:14 or 17 to 14
Step-by-step explanation:
since you know there are 14 girls, subtract 14 from 31 and then you'll get 17. since its asking for a ratio of boys to girls not girls to boys, you put boys first, then girls. so your answer will be 17:14
What is (-4/7) - (-10/7)=?
Answer: 6/7
Step-by-step explanation:
Answer:
0.85714285714 rounded to 0.86
Step-by-step explanation:
(-4/7) = -0.57<- rounded up
(-10/7)=-1.43<-rounded up
0.57- -1.43=0.86
Jayden and Jacques went to the park to play. They were gone for an hour and fifteen minutes. They ot home at 12: 30 pm. What time did they leave for the park?
Answer:
11 : 15 am
Step-by-step explanation:
one hour before 12:30 pm is 11:30 am
15 minutes before 11:30 am is 11:15 am
Answer:
11:15
Step-by-step explanation:
To solve this question we basically have to subtract 1 hour and 15 minutes from 12:30.
1230
- 0115
-------------
11:15 a.m.
So the answer would be they left for the park at 11:15 a.m.
In conclusion, Jayden and Jacques left for the park at 11.15 a.m.
plz give me brainliest :)
A car is traveling at a steady speed. It travels 2 1/2 miles on 3 1/3 minutes. How will it travel in 43 minutes? 1 hour?
Answer:
32.25 miles in 43mins
45miles in an hour
Step-by-step explanation:
Divide '2 1/2' by '3 1/3' to find the distance done in a minute: 0.75 miles
Multiply the distance done in a minute(0.75) by 43 to find the distance done in 43 minutes: 32.25miles
Multiply the distance done in a minute(0.75) by 60 to find the distance done in an hour: 45miles
Dr. Montgomery recently graduated from medical school and his wife bought him an engraved stethoscope. The stethoscope cost $160.00. The sales tax in his city is 8%. What is the total cost of the stethoscope in dollars and cents including sales tax?
Answer:
172.8
Step-by-step explanation:
Answer:
172.8
Step-by-step explanation: Dont Trust Me But Its Right B)
I need help with this