Answer:
23/10 gallons
Step-by-step explanation:
Alicia uses 3/4 gallon of paint to paint her room.
Alicia use = 3/4 gallon of paint
Becca uses for 4/5 gallon more than Alicia to paint her room.
Becca uses = Alicia (3/4 gallons ) + 4/5
Becca uses = [tex]\frac{3}{4} + \frac{4}{5}[/tex]
Total paint used together = Aliccia used + Becca used
[tex]\frac{3}{4}+\frac{3}{4} + \frac{4}{5}[/tex]
Add like fractions 3/4 + 3/4 becomes 6/4
[tex]\frac{6}{4} + \frac{4}{5}[/tex]
Make the denominators same
[tex]\frac{6*5}{4*5} + \frac{4*4}{5*4}[/tex]
[tex]\frac{30}{20} + \frac{16}{20}[/tex]
[tex]\frac{46}{20}[/tex]
Divide top and bottom by 2
[tex]\frac{23}{10}[/tex] gallons
Either Table L or Table M shows a proportional relationship. (Table L) - X -1,0,1,2 and Y= -2,0,2,4. (Table M- )X= -1,0,1,2, and Y= -4,0,6,9. Plot the points from the table that shows a proportional relationship.
Answer: Table L shows a proportional relationship.
Step-by-step explanation:
in table L, the ordered pairs are: (-1,-2),(0,0),(1,2),(2,4)
in table M, the ordered pairs are: (-1,-4),(0,0),(1,6),(2,9)
Notice that in table L, the increment for x values is consistent which is adding 1 and the increment for y values is consistent too which is adding 2. That's why table L is proportional.
In table M, the increment for x values is 1 but there is no consistent increment for y values.
n+6=38 what is the answer to this problem
Answer:
32
Step-by-step explanation:
38-6=32
Hi there! :)
Answer:
n=32
*The answer must have a positive sign.*
Step-by-step explanation:
Lesson: Addition/Subtraction/Multiplication/ and Division property of equalityFirst, you subtract by 6 from both sides of an equation.
n+6-6=38-6
Then, you subtract by the numbers from left to right.
38-6=32
Final answer is n=32
I hope this helps you!
Have a nice day! :)
Thanks!
-Charlie
:D
-5x+7y=11
-5x+3y=19
Elimination
[tex]\left\{\begin{array}{ccc}-5x+7y=11&\text{change the signs}\\-5x+3y=19\end{array}\right\\\underline{+\left\{\begin{array}{ccc}5x-7y=-11\\-5x+3y=19\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad-4y=8\qquad\text{divide both sides by (-4)}\\.\qquad\qquad \boxed{y=-2}\\\\\text{Upt the value of y to the second equation:}\\\\-5x+3(-2)=19\\-5x-6=19\qquad\text{add 6 to both sides}\\-5x=25\qquad\text{divide both sides by (-5)}\\\boxed{x=-5}\\\\Answer:\ \boxed{x=-5\ and\ y=-2\to(-5,\ -2)}[/tex]
Consider this equation and the steps taken to solve it. –9(a – 5) = –18 (distribute) –9a + 45 = –18 (subtract 45) –9a = –63 (divide by –9) a = 7 What steps might you take to verify the solution? Check all that apply. Substitute 7 for a. Pick any value for a and substitute. Simplify the equation after substituting the value for a. Verify that a = 7 is correct when the result is a true statement. Verify that a = 7 is correct when the result is a false statement.
Answer:
Substitute 7 for a.
Simplify the equation after substituting the value for a.
Verify that a = 7 is correct when the result is a true statement.
Step-by-step explanation:
–9(a – 5) = –18
Distribute
-9a +45 = -18
Subtract 45 from each side
-9a +45-45 = -18-45
-9a = -63
Divide each side by -9
-9a/-9 = -63/-9
a = 7
To check the solution put a =7 back into the original equation
–9(a – 5) = –18
-9(7-5) = -18
Simplify
-9(2) = -18
-18 = 18
This is true so 7 is the solution
Answer:
Substitute 7 for a.
Simplify the equation after substituting the value for a.
Verify that a = 7 is correct when the result is a true statement.
Step-by-step explanation:
Here, the given equation is,,
[tex]-9(a-5)=-18[/tex]
And, after solving it the result is,
a = 7
We can check whether a result is the solution of an equation by substituting the result in the given equation.
If we get a true statement, then the result is the solution of the equation.
Thus, for verifying the solution, steps are as follow,
Step 1 : Substitute 7 ,
-9(7-5) = -18
Step 2 : Simplify the equation after substituting the value of a
-9(2) = -18
Step 3 : Verify that a = 7 is correct when the result is a true statement.
-18 = -18
5/9x-3/7 in fraction form
Answer:
-15
63 but in simplified form, it's like this: -5
21
Step-by-step explanation: For multiplication and division, you don't need a common denominator, but for addition and subtraction you have to find the common denominator...
For this problem, since your multiplying, you just multiply straight accross, and if it needs to be simplified, then simplify:
5/9 x -3/7
-15
63
SIMPLIFIED because both -15 & 63 can be divided by 3 and end up like this:
-5
21
Find the value of x when the expression 6x+9 equals 3x+6
Answer: 1=x
Step-by-step explanation:
6x+9=3x+6 -6 -6
6x+3=3x -6x -6x 3=-3x 3 divided by 3 is one 1=x I hope this helps sorry if its incorrect i havent done this in a while
Answer:
x = -1
Step-by-step explanation:
Subtract 3x from both sides
6x + 9 - 3x = 3x + 6 - 3x
3x + 9 = 6
Subtract 9 from both sides
3x + 9 - 9 = 6 - 9
3x = -3
Divide both sides by 3
3x/3 = -3/3
x = -1
Please help I will give brainiest :)
A relation is plotted as a linear function function on the coordinate plane starting at point E at (0,27) and ending at point F at (5, -8) what is the rate of change for the linear function and what is its initial value ? Select from the drop down menus to correctly complete the statement.
The rate of change for the linear function is choose -7, 0, 7, 27 and the initial value is, choose, -8 , -5, 0, 27
Thank You!!! :)
Answer:
see explanation
Step-by-step explanation:
the rate of change is the measure of the slope m of the line
To calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (0, 27) and (x₂, y₂ ) = (5, - 8)
m = [tex]\frac{-8-27}{5-0}[/tex] = [tex]\frac{-35}{5}[/tex] = - 7 ← rate of change
the initial value is the y-coordinate of the starting point
That is y = 27 ← starting value
The rate of change for the linear function is -7 and the initial value is 27.
a bag contains 8 red ribbon, 7 green ribbons, and 3 yellow ribbons. if you randomly remove 3 of the ribbons from the bag without replacement, what is the probability that the first 2 are yellow?
The probability that the first 2 ribbons removed from the bag are yellow is [tex]\(\frac{1}{51}\)[/tex].
First, let's calculate the probability of drawing the first yellow ribbon. There are 3 yellow ribbons and a total of 8 red, 7 green, and 3 yellow ribbons, which sums up to 18 ribbons in total. So, the probability of drawing the first yellow ribbon is:
[tex]\[ P(\text{first yellow}) = \frac{\text{Number of yellow ribbons}}{\text{Total number of ribbons}} = \frac{3}{18} = \frac{1}{6} \][/tex]
After drawing the first yellow ribbon, there are now 17 ribbons left in the bag, with 2 yellow ribbons remaining. The probability of drawing the second yellow ribbon is:
[tex]\[ P(\text{second yellow | first yellow}) = \frac{\text{Number of remaining yellow ribbons}}{\text{Total number of remaining ribbons}} = \frac{2}{17} \][/tex]
Now, we multiply the two probabilities to find the probability that the first two ribbons drawn are yellow:
[tex]\[ P(\text{first two yellow}) = P(\text{first yellow}) \times P(\text{second yellow | first yellow}) = \frac{1}{6} \times \frac{2}{17} \]\[ P(\text{first two yellow}) = \frac{1 \times 2}{6 \times 17} = \frac{2}{102} = \frac{1}{51} \][/tex]
The number p and −1.2 are additive inverses. Drag and drop −1.2 and p to their correct positions on the number line. Drag and drop the label “Sum” to the sum of −1.2 and p.
Answer:
Value of p is 1.2.
Now drag and drop the values as per explanation.
Step-by-step explanation:
Additive inverse of any number means a number which can be added to the original number to get
Two numbers are said to be additive inverse of each other if sum of both numbers is 0. For example if 5 is the given number then -5 will be it's additive inverse. So to find additive inverse, we basically change the sign of number.
Given number p is additive inverse off -1.2 so p must be 1.2.
Sum will obviously be 0.
So to graph them on number line, we make a point at -1.2, 1.2 and at 0 for their sum.
In parallelogram ABCD point K belongs to diagonal BD so that BK:DK=1:4. If the extension of AK meets BC at point E, what is the ratio of BE:EC?
Answer:
BE : EC = 1 : 3
Step-by-step explanation:
Consider triangles AKD and EKB. In these triangles
∠AKD≅∠EKB as vertical angles;∠ADK≅∠EBK as alternate interior angles;∠KAD≅∠KEB as alternate interior angles.Then ΔAKD is similar to ΔEKB by AAA theorem.
Similar triangles have proportional corresponding sides:
[tex]\dfrac{AD}{EB}=\dfrac{AK}{EK}=\dfrac{DK}{KB}.[/tex]
Since [tex]\dfrac{DK}{KB}=\dfrac{4}{1},[/tex] then [tex]AD=4BE.[/tex]
Opposite sides in parallelogram have the same lengths, then [tex]BC=AD.[/tex]
Now
[tex]BC=BE+EC,\\ \\BC=\dfrac{1}{4}BC+EC,\\ \\EC=BC-\dfrac{1}{4}BC=\dfrac{3}{4}BC.[/tex]
Find the ratio
[tex]\dfrac{BE}{EC}=\dfrac{\frac{1}{4}BC}{\frac{3}{4}BC}=\dfrac{1}{3}.[/tex]
The ratio of BE:EC is 1:2.
How do we calculate?We have Parallelogram ABCD
Point K on diagonal BD such that BK:DK = 1:4
The extension of AK meets BC at point E
Since BK:DK = 1:4,
we know that BK = 1/5 * BD
and DK = 4/5 * BD.
AK extends to meet BC at point E means that AE is parallel to BD and BE is parallel to AK.
pair A,B,C,D,K,E;
A = (0,0);
B = (5,0);
C = (5,5);
D = (0,5);
K = (3.5,0);
E = (3.5,2.5);
Since AE is parallel to BD and BD is a diagonal of parallelogram ABCD, we know that AE bisects BD. This means that AE = BD/2 = 3/5 * BD.
Since BE is parallel to AK and AK is a diagonal of parallelogram ABCD, we know that BE bisects AK. This means that BE = AK/2 = 1/5 * BD.
Therefore, the ratio of BE:EC = 1/5 * BD
: 2/5 * BD
= 1:2.
Learn more about diagonal of parallelogram at:
https://brainly.com/question/13251657
#SPJ6
Find the slope between (1, 1) and (8, 7)
Answer:
6/7
Step-by-step explanation:
Change in y over the change in x.
7 - 1 over 8 - 1 =
6 over 7
6/7
PLEASE HELP! 49 POINTS!
Show work and explain! I don't get it.
Answer:
B
Step-by-step explanation:
-6 10n to the 5 11n to the 3
you put the ones that are alike to gether. so -3 and -3 together and 5n to the 3rd and 6n to the third together and 3n to the fifth and 7n to the fifth together
Given : (-3 + 3n⁵ + 6n³) + (7n⁵ + 5n³ - 3)
Rearrange respective Like terms as they are a Family, They should be together.
In the Given Expression, The Like terms are :
✿ 3n⁵ and 7n⁵
✿ 6n³ and 5n³
✿ -3 and -3
After Rearranging, The Given Question looks like :
✿ (3n⁵ + 7n⁵) + (6n³ + 5n³) - 3 - 3
Now, Add the Like Terms as they belong to the same Family
⇒ 10n⁵ + 11n³ - 6
I need help doing the math
6x-5y=17 solve the system
can someone please help me? 20 Pts!!!
Whether this prophecy is ever fulfilled or not, it is nevertheless plain that a very different-looking class of people are springing up at the south, and are now held in slavery, from those originally brought to this country from Africa; and if their increase do no other good, it will do away the force of the argument, that God cursed Ham, and therefore American slavery is right. If the lineal descendants of Ham are alone to be scripturally enslaved, it is certain that slavery at the south must soon become unscriptural; for thousands are ushered into the world, annually, who, like myself, owe their existence to white fathers, and those fathers most frequently their own masters.
What is the allusion in this passage and its interpretation?
A.) "The descendants of Ham"; since some slaves have white fathers who are not the sons of Ham, they should not be enslaved.
B.) "The descendants of Ham"; although some slaves have white fathers, they are still lineal descendants of Ham and should remain slaves.
C.) "Thousands are ushered into the world"; since some slaves have fathers, they should not be enslaved.
D.) "Thousands are ushered into the world"; although some slaves have white fathers, they are still lineal descendants of Ham and should remain slaves.
What is the equation of the line with a y-intercept of -3 and slope of 2? Write the equation in slope intercept form.
Answer:
Y=2x-3
Step-by-step explanation:
Hi there! :)
Answer:
y = 2x - 3
Step-by-step explanation:
The slope intercept equation looks like this : y = mx + b
Where "m" is the slope and "b" is the y-intercept.
Your y-intercept = -3 → SO, b = -3
Your slope = 2 → SO, m = 2
Replace the values of "b" and "m" in the equation, and you're done:
y = mx + b
y = 2x - 3
There you go! I really hope this helped, if there's anything just let me know! :)
jan quint earns 11.00 an hour at her job and is entitled to time and a half for overtime and double time on holidays last weeks she worked 40 hours of regular time 9 hours of overtime and 12 hrs of holiday time how much did she earns last weeks
Answer:
$852.5
Step-by-step explanation:
$11 * 40 hours = $440 for reg. hours
$16.5 * 9 hours = $148.5 for overtime
$22 * 12 hours = $264 for holiday time
$440 + $148.5 + $264 = $852.5 in total
The grill was regularly priced at $58, but Jared had a coupon for 25% off. How much money did Jared save by using his coupon?
Answer:
He saves $14.50
Step-by-step explanation:
We can find the discount by multiplying the price by the percentage off
58* .25 = 14.50
He saves $14.50
Answer:
14.50
Step-by-step explanation:
You are not asked for the final price. You are asked for the amount saved. Don't confuse the two.
If he gets 25% off then you multiply (25/100) times 58 to get the amount saved.
(25/100) * 58 = 14.50
So his reduction is $14.50
The line segment shown is translated down 4 units, what are the new coordinates of B?
Answer:
D) (4, -1)
Step-by-step explanation:
When a point is translated down 4 units you need to subtract 4 from the y-coordinates. The x-coordinates will not change. Therefore (4, 3) will become (4, -1).
Ming has a goal to jog 4 1/2 miles each day. On Monday she jogged 5 9/16 miles. How many much if she exceed her goal for that day?
Answer:
Ming exceed [tex]1\frac{1}{16}[/tex] miles her goal for that day
Exep-by-step explanation:
[tex]5\frac{9}{16}- 4\frac{1}{2} =5\frac{9}{16} -4\frac{8}{16}=1\frac{1}{16} miles[/tex]
The 17 students on the math team want to raise $483.62 to buy practice books. They have already raised $218.25. If each student raises the same amount, how much more money must each student raise?
Answer:
$15.61
Step-by-step explanation:
483.62 - 218.25 = 265.37
265.37/17 = $15.61
If each student raises the same amount, how much more money must each student raise is: $15.61.
Amount raisedUsing this formula
Amount raised=Current amount to raised-Old Amount raised /Number of students
Where:
Current amount to raised=$483.62
Old Amount raised =$218.25
Number of students=17
Let plug in the formula
Amount raised=483.62 - 218.25/17
Amount raised= 265.37/17
Amount raised= $15.61
Thus, if each student raises the same amount, how much more money must each student raise is: $15.61.
Learn more about amount raised here:https://brainly.com/question/13943984
A breakfast cereal is available in four different sizes. Which is the best buy ?
A. 10-ounce box for $2.80
B. 16-ounce box for $3.75
C. 24-ounce box for $4.50
D. 30-ounce box for $5.25
Answer:
D. 30-ounce box for $5.25 is the best buy
Step-by-step explanation:
To determine which is the better buy, we need to determine the unit rate for each. We will take the price and divide by the number of ounces. The best price is the smallest price per ounce.
A. 10-ounce box for $2.80
$2.80/10 = $.28 per ounce
B. 16-ounce box for $3.75
$3.75/16 = $.234375 per ounce
Rounding to the nearest cent
$.23 per ounce
C. 24-ounce box for $4.50
$4.50/24 = $.1875 per ounce
Rounding to the nearest cent
$.19 per ounce
D. 30-ounce box for $5.25
$5.25/30 =$.175 per ounce
Rounding to the nearest cent
$.18 cent per ounce
[tex]x=y-2\\4x+y=2[/tex]
i have to use substitution
Answer:
x=0 , y=2
Step-by-step explanation:
x=y-2
4x+y =2
We can substitute the first equation in for x into the second equation
4*(y-2) +y =2
Distribute the 4
4y-8 +y =2
Combine like terms
5y-8 =2
Add 8 to each side
5y-8+8 = 2+8
5y= 10
Divide each side by 5
5y/5 =10/5
y=2
But we still need to find x
x = y-2
x = 2-2
x=0
Determine the measure of q in sin q =0.4848 to the nearest degree.
Answer:
see explanation
Step-by-step explanation:
there are 2 possible values for q
Since sin q > 0 then q is in the first or second quadrant
sin q = 0.4848, then
q = [tex]sin^{-1}[/tex](0.4848) ≈ 29° ← first quadrant
or q = 180° - 29° = 151° ← second quadrant
26=-8/5y what is it 30 points!!!!!
Answer:
Alright well solve for y by simplifying both sides of the equation, then isolating the variable
Exact form: y = - 65/4
Decimal form: y = - 16.25 Hope this helps Have a nice day :)
Step-by-step explanation:
The graph of a system of equations with different slopes will have no solutions. Always Sometimes Never
Answer:
Never
Step-by-step explanation:
If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.
Thats what my teacher tought me
On a coordinate grid, point T is at (2, −4) and point S is at (2, 6). The distance (in units) between points T and S is ______. (Input only whole numbers, such as 2.)
Answer:
10
Step-by-step explanation:
calculate the distance using the distance formula
d = √( x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (2, - 4) and (x₂, y₂ ) = (2, 6)
d = [tex]\sqrt{(2-2)^2+(6+4)^2}[/tex] = [tex]\sqrt{0+100}[/tex] = [tex]\sqrt{100}[/tex] = 10
A school paid $45.00 for 8 toothbrushes and 4 tubes of toothpaste. If each tube of toothpaste cost $4.50, how much did each toothbrush cost? Round to the nearest cent.
Answer:
$3.38
Step-by-step explanation:
The formula is 45= 8x + 4t. Each tube of toothpaste is 4.50, so times four is 18. So they spent 18 dollars on toothpaste, and the rest on toothbrushes. There are 27 dollars left, and 8 toothbrushes, so divide and each toothbrush is $3.375, or $3.38
Answer:
$3.38 PLEASE GIVE BRAINLIEST
Step-by-step explanation:
4.50(4) + 8x = $45.00
$18 + 8x = 45.00
8x = 45 - 18
8x = 27
x = 27 ÷ 8
x = 3.375 rounded to nearest cent is $3.38
Round 452 to the nearest hundred
Answer:
500
Step-by-step explanation:
How many pints are there in 33 gallons
Answer:
There are 264 pints in 33 gallons.
Step-by-step explanation:
Because there are 8 pints in 1 gallon.
Answer: 264 pints
Step-by-step explanation:
There are 8 pints in a gallon so you multiply that by 33 and you get your answer.