Answer:
Colombian coffee bought = 0.5 lbs
French roast coffee beans bought = 0.5 lbs
Step-by-step explanation:
Let Colombian coffee bought = [tex]x[/tex] lbs
Total weight of mixture bought = 1 lbs
Therefore, French roast coffee beans bought = (1 - [tex]x[/tex]) lbs
Price of 1 lb Colombian coffee = $4.25
Price of [tex]x[/tex] lbs of Colombian coffee = $[tex]4.25x[/tex]
Price of 1 lb French roast coffee beans = $3.75
Price of (1 - [tex]x[/tex]) lbs French roast coffee beans = $3.75(1 - [tex]x[/tex])
It is given that total money spent is $4.
As per given statement:
[tex]4.25x+3.75(1-x)=4\\\Rightarrow 0.50x=0.25\\\Rightarrow x=\bold{0.5\ lbs}[/tex]
Colombian coffee bought = 0.5 lbs
French roast coffee beans bought = 0.5 lbs
How would the expression x^3 - 64 be rewritten using difference of cubes? A. (x + 4)(x^2 - 4x + 16) B. (x-4)(x^2 + 4x + 16) C. (x+4)(x^2 - 4x - 16) D. (x-4)(x^2 + 16x+4)
Answer:
D)
Step-by-step explanation:
4 is an evident zero of the equation x^3 - 64.
x^3 - 64 can only be factorized with (x-4) and not with (x+4)
because x - 4 = 0 <==> x = 4 and 4^3 -64 = 0
Developing B) would be:
x^3 + 4x^3 + 16x - 4x^2 - 16x - 64 = 5x^3 - 4x^2 -64
So it doesn't match so it's D)
10. If mACD = (7x - 12) and
mBDC = (10x + 5), find x
Since both angles will be a part of triangle, and the third angle would be 90° as, the vertices meet at an centre of diagonal, hence they bisect each other.
7x-12 +(10x+5) = 90°
==> 17x -7= 90°
==> 17x = 97°
==> x = 97°/17
==> x = 5.70° (approx)
(4 7/8) (8 1/10) ( 3) HELP ASAP!!!!!!
Answer:
8.4
Step-by-step explanation:
(7/8) (4) = 3.5
(1/10) (8) = 0.8
3.5 × 0.8 × 3 = 8.4
Hope this helps.
Distributive property
[tex]6(2x + y) + 2y - 12x[/tex]
How can I simplify this expression and justify it
Answer:
8y
Step-by-step explanation:
=(6)(2x)+(6)(y)+2y+−12x
=12x+6y+2y+−12x
Combine Like Terms:
=12x+6y+2y+−12x
=(12x+−12x)+(6y+2y)
=8y
Answer:
8y
Step-by-step explanation:
6(2x+y) comes first 12x+6y then you take 2y and add it from 6y giving you 8y and that gives you the most simplified answer 12x and -12x cancel each other out
Mr. Smith is 81 years older than his grandson, Victor. In 3 years, Mr. Smith will be four times as old as Victor. How old is Victor now?
♧ So, after 3 years = x+81 +3
81 + 3 + x = 4 ( x + 3 ) 84 + x = 4x + 12♧ now grouping the variables and constants together we get,
4x-x=84-12 3x = 72x = 72/3x = 24♧ Thus, Victor's present age is 24 yrs.
Hope it helps ya ~
Answer:
Victor's age = 24 years old
Step-by-step explanation:
Let age of Mr. Smith = x and age of Victor = y.
According to the question, we can find two equations.
=> 1) x = y + 81
=> 2) x + 3 = 4(y + 3)
Substituting value of x in (1) to (2)
y + 81 + 3 = 4y + 12
3y = 72
y = 24
Victor's age = 24 years old
3xsquared - 3x -1 = x + 1
Answer:
x = 2 + √10
-------------
3
x = 2 - √10
------------
3
Step-by-step explanation:
3x² - 3x - 1 = x + 1
-x - 1 -x - 1
3x² - 4x - 2 = 0
-b +/- √b² - 4ac -(-4) +/- √(-4)² - 4(3)(-2) 4 +/- √16 + 24
------------------ = ---------------- = -----------------
2a 2(3) 6
4+/-√40 4 + √ 4 × 10 4 +2√10 2 + √10
------------ = ------------- = ------------ = ------------
6 6 6 3
4 - √ 4 × 10 4 - 2√ 10 2 - √10
---------------- = ----------------- = ---------------
6 6 3
I hope this helps!
Fathi has $1.10 in his printing account. Each sheet of paper he uses reduces his printing account balance by $0.25. Fathi wants to print out a PDF document that is 47 pages long. To save paper, he decides to print on both sides of each sheet and to print two pages on each side of the sheet.
After Fathi prints, what will be the balance in his printing account?
Answer: Faith's printing account balance will become $-1.90, or $1.90 below 0.
Step-by-step explanation:
Each sheet of paper can print 4 pages. Since it is 47 pages long, she will need 12 pages. That will cost 3 dollars, since 0.25x12=3. 1.10-3=-1.90 dollars, which means that she is $1.90 in debt.
13. Is the following the graph of a function? Why or why not?
There are two jars once I contains two red gumballs three green gumballs and one yellow gumball. The other jar contains two blue balloons in three purple balloons. Jeff randomly draws one gumball and then one balloon what is the probability will get one red gumball and one blue balloon
Answer:
P(1 red gumball and 1 blue balloon) =[tex]\frac{2}{15}[/tex]
Step-by-step explanation:
There are two jars.
One jar has 2 red, 3 green and 1 yellow gumball.So, there are 2+3+1=6 gumballs.
Another jar has 2 blue and 3 purple balloons. Totally there are 2+3=5 balloons.
So,
Probability of drawing 1 red gumball from jar 1 =[tex]\frac{2}{6}[/tex]
Probability of drawing 1 blue balloon =[tex]\frac{2}{5}[/tex]
So, P( 1 red gumball, 1 blue balloon)= [tex]\frac{2}{6} *\frac{2}{5} =\frac{2}{15}[/tex]
Anna, Irina, Avel, and Vlad are going on a road trip. The following table shows an incomplete probability model for who will be driving during any given kilometer.
Person Probability
Anna \dfrac18
8
1
start fraction, 1, divided by, 8, end fraction
Irina \dfrac38
8
3
start fraction, 3, divided by, 8, end fraction
Avel ??question mark
Vlad \dfrac18
8
1
start fraction, 1, divided by, 8, end fraction
What is the probability that Avel will be driving during any given kilometer?
Choose 1 answer:
Answer:
The answer is 3/8.
Step-by-step explanation:
I watched it on khan academy. im just unsure how to explain it. Lol but im 100% sure it is 3/8. Have a nice day hope this helped! :3
The material Santiago will use to build the ramp cost $2.20 per square foot. Find the total cost of materials for the ramp? All sides are; 21.7, 20, 12 for perimeter and 8.5 for the height.
Answer:Santiago is playing a game on his computer and is designing a ramp that bikers will jump off to land in a foam pit. His designs are shown below. Use the designs to answer each question. RAMP FOAM PIT 24 ft 21.7 ft 8.5 ft 12 ft 99 wa 20 ft 1. What is the total surface area of the ramp? 2. Santiago wants the lateral surfaces of the ramp to be painted red. How many square feet of the ramp will be painted red? 3. The material Santiago will use to build the tamp costs $2.20 per square foot. What will the total cost of building the ramp be? 4. The foam pit is a rectangular prism, but the top of the pit will be open. What is the total surface area of the foam pit? 5. The lateral surfaces of the foam pit will be lined with extra padding. How many square feet will be lined with extra padding? 6. The total cost of materials to build the foam pit is $1,285.20. What is the cost of materials per square foot? 7. Santiago's total budget for the materials to build the ramp and the foam pit is $3,000. With his current design, will be he over budget or under budget, and by how much?
Step-by-step explanation:
Santiago is playing a game on his computer and is designing a ramp that bikers will jump off to land in a foam pit. His designs are shown below. Use the designs to answer each question. RAMP FOAM PIT 24 ft 21.7 ft 8.5 ft 12 ft 99 wa 20 ft 1. What is the total surface area of the ramp? 2. Santiago wants the lateral surfaces of the ramp to be painted red. How many square feet of the ramp will be painted red? 3. The material Santiago will use to build the tamp costs $2.20 per square foot. What will the total cost of building the ramp be? 4. The foam pit is a rectangular prism, but the top of the pit will be open. What is the total surface area of the foam pit? 5. The lateral surfaces of the foam pit will be lined with extra padding. How many square feet will be lined with extra padding? 6. The total cost of materials to build the foam pit is $1,285.20. What is the cost of materials per square foot? 7. Santiago's total budget for the materials to build the ramp and the foam pit is $3,000. With his current design, will be he over budget or under budget, and by how much?
answer in fraction: 14 7/27
Answer:
385/27
Step-by-step explanation:
it says leave ur answer as radicals in simplist form pls help!!! marking brainliest
Answer:the one near 45 is 5 and the straight line is 4
Step-by-step explanation:
For which values of c does the quadratic equation x^2-2x +c=0 have
One root equal to zero and one negative root
Answer:
There is no values of c that makes it true
Step-by-step explanation:
The roots of the quadratic equation x² – 2x + c = 0 are 0 and –2. Then the value of c is zero.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
For which values of c does the quadratic equation
x² – 2x + c = 0 ...1
The one root is equal to zero and one negative root.
Let negative a be the one root.
x = 0, –a
Then we have factorized the equation,
(x)(x + a) = 0
On solving, we have
x² + ax = 0 ...2
In comparing equation 2 with equation 1, we have
a = –2 and c = 0
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
The gas tank in Enrique's car has 15 gallons of gas. Enrique was able to determine that he can travel 35 miles and only use 2 gallons of gas. At this constant rate, he predicts that he can drive 240 more miles before he runs out of gas. Is he correct? Explain.
Answer:
Yes, he is correct, 240 miles will require a gas volume of 13.71 gallons which is less than 15 gallons in Enrique's car.
Step-by-step explanation:
Given;
total volume of gas in Enrique's car, V = 15 gallons
The rate of gas consumption [tex]= \frac{35 \ miles}{2 \ gallons} = 17.5 \ miles/gallon[/tex]
To drive 240 miles, he would need the following volume of gas;
[tex]V = 240 \ miles* \frac{1}{\frac{17.5 \ miles}{gallon} }\\\\ V = 240 \ miles*\frac{1*gallon}{17.5 \ miles}\\\\ V = (\frac{240 \ miles}{17.5 \ miles} )gallon\\\\V = 13.71 \ gallons[/tex]
The volume of gas needed to drive 240 miles is less than the total volume of gas in Enrique's car.
Thus, he is correct
The equation 5x − 8y = 20 expresses a linear relationship between x and y. The point (15, 7) is either on the graph of this line, above it, or below it. Which? How do you know?
Answer:
Below
Step-by-step explanation:
5 (15) - 8 (7)= 20
75-56=20
19=20
19<20
ben and winston are both selling cookie dough for a fundraiser. Although ben has already sold 10 tubs, Winston hasnt sold any yet. If ben starts selling 8 tubs per day and Winston begins selling 9 tubs per day, they will eventually sell the same amount of cookie dough. how many days will that take
?
Answer:
Step-by-step explanation:
On the first day, Ben (B) starts with 10 tubs and Winston (W) starts with 0 tubs.
After the first day, Ben sells 8 tubs per day while Winston sells 9 tubs per day.
Therefore we can write the following equation: (Where d = number of days)
B = 10 + 8d
W = 0 + 9d = 9d
We are told that eventually they will sell the same amount which means
B = W
This means we can say,
10 + 8d = 9d
If we subtract 8d from both sides we get
10 = d
Therefore it will take 10 days for them to sell the same amount of cookie dough.
Answer: 10 days
10 + 8 x 10 = 90
9 x 10 = 90.
It will take 10 days for Ben and Winston to sell the same amount of cookie dough.
Amount
Rate
Cost per ounce (Unit cost)
Total Cost
$1.28
16 Oz
Answer:
$20.48
Step-by-step explanation:
$1.28 multiplied by 16
BRAINLIEST HURRYYY
The equation of a linear function is y = –2x + 3. Which table contains a set of points that lie in the graph of this function?
Answer:
The answer is A)
Step-by-step explanation:
To find out table contains a set of points that lie in the graph of this function , we have to hit and trial method ,
when we put the value of x in y = –2x + 3 this equation so ,
taking x = 1 , then the value of y is
=> y = -2(1)+3
=> y = -2+3
=> y = 1
taking x = 0 , then the value of y is
=> y = -2(0)+3
=> y = 3
now talking x = -3 , then the value of y is
=> y = -2(-3) +3
=> y = 6+3
=> y = 9
so , the option A is the right answer
Answer:
A)
Step-by-step explanation:
Given linear function: y = -2x + 3
Therefore, the slope is -2 and the y-intercept is (0, 3)
Therefore, we are looking for a set of ordered pairs that has a rate of change of -2
⇒ as the x-value increases by 1 unit, the y-value decreases by 2 units
i.e. as the x-value decreases by 1 unit, the y-value increases by 2 units.
The only set of ordered pairs that follows this rule is A)
Let's check by substituting the values of x = 1, x = 0 and x = -3 into the function:
when x = 1 → -2(1) + 3 = 1
when x = 0 → -2(0) + 3 = 3
when x = -3 → -2(-3) + 3 = 9
Confirming that the set of ordered pairs in A) lie on the graph of the given function.
Lena runs 4 miles in 30 minutes. At the same rate, how many miles would she run in 48 minutes?
Answer:
6.4
Step-by-step explanation:
divide 4 by 30 in order to find out how many miles she can run in a minute. I got 0.13333333 and multiplied that by 48, which got me 6.4 as the answer but I'd double check.
Answer:
6.4 millas.
Step-by-step explanation:
es una simple regla de tres:
4 es a 30
x es a 48
x es igual a 48*4/30
x es igual a 6.4
Anyone can figure this out
Answer:
... there's nothing there. you forgot to attach something i believe
Step-by-step explanation:
Use the similar triangles on the coordinate plane to determine the equation for the given line. Y = three-fourths x y = four-thirds x y = 4x 3 y = 3x 4.
The equation of the line plotted in the graph with the similar triangles on the coordinate plane is y equal to three-fourths x.
Symbolically, it can be written as,
[tex]y=\dfrac{3}{4}x[/tex]
What is the equation of line?The equation of the line is the way of representation of a line in the equation form.
The equitation of the lines represents the line by the set of points on which the line lies or passes through in the coordinate system.
[tex]y=mx+c[/tex]
Here, (m) is the slope of the line and (c) is the y intercept.
The similar triangles on the coordinate plane to determine the equation for the given line. The line and the triangle is graphed in the image attached below.
The line passes from origin point (0,0). The coordinate points on the line say P are (4,3) as shown in the image. Thus, for this the slope of the line can be given as,
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\m=\dfrac{3-0}{4-0}\\m=\dfrac{3}{4}[/tex]
The equation of the line for 3/4 slope is,
[tex]y=\dfrac{3}{4}x[/tex]
Hence, the equation of the line plotted in the graph with the similar triangles on the coordinate plane is,
[tex]y=\dfrac{3}{4}x[/tex]
Learn more about the equation of line here;
https://brainly.com/question/13763238
Answer:
Its A. :]
(Edge 2022)
HELP WILL GIVE BRAINLIEST!!!!
Answer:
- 1/9
Step-by-step explanation:
- ( 3 ^ -5) ( 3 ^3)
We know that a^ b* a^c = a^ ( b+c)
- ( 3^(-5+3))
-( 3 ^ (-2))
We know that a^ -b = 1/a^b
- ( 1/ 3^2)
- 1/9
Answer:
- 1/9
Step-by-step explanation:
stop deleting my answer Brainly :) its right
Nellie has a bankruptcy on her credit report and therefore pays higher interest rates on her current loans. she took out a car loan for $45,000 payable for 6 years at an interest rate of 15%. if she had not applied for bankruptcy, she would have been able to take out the loan at a rate of 6%. approximately how much more in interest over the life of the loan does nellie have to pay? a. $68,510.16 b. $53,696.16 c. $32,206.32 d. $14,814.00 please select the best answer from the choices provided a b c d
The amount more in interest over the life of the loan which Nellie have to pay is $14814.
What is bankruptcy?
Bankruptcy is the procedure by which the people who are unable to pay the debts to creditors, may get relief from some or all the debts.
Nellie has a bankruptcy on her credit report and therefore pays higher interest rates on her current loans.
Nellie took out a car loan for $45,000 payable for 6 years at an interest rate of 15%. Thus, the interest is,
[tex]I=\dfrac{45000\times6\times15}{100}\\I=40500[/tex]
If she had not applied for bankruptcy, she would have been able to take out the loan at a rate of 6%. In this case, the interest paid would be,
[tex]I=\dfrac{45000\times6\times6}{100}\\I=16200[/tex]
The difference between the interest paid would be,
[tex]I=40500-16200\\I=24300[/tex]
Hence, the amount more in interest over the life of the loan which Nellie have to pay is $14814.
Learn more about the bankruptcy here;
https://brainly.com/question/7780877
A salt-water tank needs to contain 5 gallons of water for each 1-inch fish. If lan has a 30-gallon tank, predict how many inch-long fish he can have. S
Answer:
6in
Step-by-step explanation:
Let's organize what we know.
- 5gal/1in
- 30gal tank
Since we need to find the inches of the fish he can have, we can set up a proportion like this:
5/1=30/x
We can cross multiply.
5x=1(30)
Simplify: 1*30=30
5x=30
Now we can isolate the variable.
5x=30
/5 /5
x=6
a banana costed 1 dollar how much does 3 bananas cost
Two less than the product of
5 and the cube of a number.
Answer:
5x^3-2
Step-by-step explanation:
Two less than the product of 5 and the cube of a number.
The product of 5 and the cube of a number can be translated to look like 5x^3.
You then take 5x^3 and subtract 2 to get 5x^3-2.
Select from the drop-down menus to correctly complete the statement.
This polygon has
Choose...
sides, so it is a
Choose...
This polygon has
Choose...
3
4
5
6
sides, so it is a
triangle
quadrilateral
pentagon
hexagon
Answer:
6 sides, hexagon
Step-by-step explanation:
If you count the sides you see there are 6, and 6 sided figures are hexagons.
Completing the Square
ALGEBRA
Please solve this! Giving Brainliest
Answer:
Step-by-step explanation:
1: x^2 + 6x = - 7
2: x^2 + 6x + (6/2)^2 = -7 + (6/2)^2
2: x^2 + 6x + 9 = - 7 + 9 This might be a 2
2: x^2 + 6x + 9 = 2
3: (x + 3)^2 = 2
4: √(x + 3)^2 = √2
5: x + 3 = +/- √2
6: x = -3 +/- √2
£810 is divided between Paul, Brian & Colin so that Paul gets twice as much as Brian, and Brian gets three times as much as Colin. How much does Brian get.
Answer:
$486 (Paul)
$243(Brian)
$81(Colin)
Solving steps:
let Paul Be x, Brian be x,Colin be x
since Paul got twice as much as Brian which shows that brian and got three times
So Paul,= 3×2 so he got six times as much as the two others
while Brian got three times
and colins got once
so let's make an equation for this problem
=> 6x + 3x + x = $810
add 6 x + 3 x + x which give you 10 x
=> 10x = $810
divide both side by the coefficient of x
=> [tex] \frac{10x}{10} = \frac{810}{10} [/tex]
=> [tex]x = \frac{810}{10} [/tex]
=> x = 81
since you we have find what the value of x
insert into the previous equation which is
=> 6x + 3x + x
=> 6(81) = $486-----(for Paul)
3(81) = $243-------(for Brian)
(81) = $81 ---------(for Collin)