Answer:
The number of green pens sold are 96 green pens
Step-by-step explanation:
The given parameters for the packs of pens sold by the shop are;
The number of pens in each pack of black pens = 2 pens
The number of pens in each pack of red pens = 5 pens
The number of pens in each pack of green pens = 6 pens
The ratio of number of packs of pens sold Black : Red : Green = 7 : 3 : 4
The total number of pens sold = 212
Let 'x' represent the number of packs of pens sold
Therefore, the fraction of the packs the pens sold that are black pens = 7/(7 + 3 + 4) = 7/14 = 1/2
∴ 1/2 of the number of packs of pen sold = packs black pens = x/2
The fraction of the packs the pens sold that are red pens = 3/14
∴ 3/14 of the number of packs of pen sold = packs of red pens = 3·x/14
Similarly, we have;
The fraction of the packs the pens sold that are green pens = 4/14 = 2/7
∴ 2/7 of the number of packs of pen sold = packs of green pens = 2·x/7
Therefore, we have;
x/2 × 2 + 3·x/14 × 5 + 2·x/7 × 6 = 212
Where;
x/2 × 2 = The number of black pens sold
3·x/14 × 5 = The number of red pens sold
2·x/7 × 6 = The number of green pens sold
∴ 53·x/14 = 212
x = 212 × 14/53 = 56
∴ The number of packs of pens sold = x = 56 packs
The number of green pens sold = 2·x/7 × 6 = 2 × 56/7 × 6 = 96
The number of green pens sold = 96 pens.
HELP PLEASE CHECK MY ANSWER!!!
Answer:
its almost correct but its just a little bit off
Step-by-step explanation:
1. on the left its on the two bring it closer to the 4 than the 2 so its gonna be right before the four ill insert a picture so u can see as well.
2. on the left side its going to be right before -2.
3. on the bottom its going to be moved down to -18 and a little bit out going to the right.
the picture is right there hope it helped
Carter is going to invest $210 and leave it in an account for 5 years. Assuming the interest is compounded annually, what interest rate, to the nearest tenth of a percent, would be required in order for Carter to end up with $250?
Answer:360
Step-by-step explanation:g-g5
The rate of interest will be 0.35.
What is compound interest?
Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.
Compound interest formula[tex]CI = P(1+\frac{r}{n}) ^{nt} -P[/tex]
and, the Amount is given by
[tex]A = P(1+\frac{r}{n} )^{nt}[/tex]
Where,
A is amount
P is principal
r is rate of interest
n is number of times interest is compounded per year
t is time
According to the given question
Principal, P = $210
Amount, A = $250
Time, t = 5 years
n = 1
Therefore, the interest rate is given by
Amount = [tex]P(1+\frac{r}{n}) ^{nt}[/tex]
⇒[tex]250 = 210(1+\frac{r}{1}) ^{5}[/tex]
⇒[tex]\frac{250}{210} =(1+r)^{5}[/tex]
⇒[tex]1.19 = (1+r)^{5}[/tex]
⇒[tex]\sqrt[5]{1.19} = 1+r\\[/tex]
⇒ 1.035 = 1 + r
⇒ r = 1.035 - 1
⇒ r = 0.35
Hence, the interest rate is o.35.
Learn more about compound interest here:
https://brainly.com/question/14295570
#SPJ2
Help please!! Help me with this triangle
Answer:60°
Step-by-step explanation: First, think about the rule of the degrees for all triangles. Angles must equal 180°.
Second, because all angles must equal 180°, see that the triangle given has equal sides (assuming this, because no other measurements are given).
Equilateral triangles have equal angles, meaning 60° for each angle.
Find the slope of the line segment.
Answer:
Option 3
Step-by-step explanation:
-2/3 since the line is a total of 3 the 2 is negative which would make it the answer meaning that is the only negative option.
Find the product.
10(-7)
Answer:
-70
Step-by-step explanation:
If a number is right by a parathesis () then you multiply the number inside the parathesis by the number next to them.
A car salesman receives 3% commission on his total weekly sales. Last week his total sales were £28500
How much commission does he earn?
Please help me ASAP
can someone please help with this? will give brainliest
Answer:
0.004
Step-by-step explanation:
Just mutiply and divide by 2
2/5 divided by 4 and reduce the answer
Answer:
1/10 i guess
Step-by-step explanation:
2/5=0.4
0.4/4=0.1
0.1=1/10 (one tenth_
Answer:
1/10
Step-by-step explanation:
2/5 ÷4 is the same as 2/20, which is 1/10
The average cost for a gallon of gasoline in 2006 was $2.45. In 2007, the average cost of a gallon of gasoline was $3.29. What is the approximate percent of change in the cost of a gallon of gasoline?
A. 25%
B. 35%
C. 75%
D. 135%
Answer:B
Step-by-step explanation:
2.45(0.35)= 0.8575+2.45= 3.30
3) In June a gallon of gasoline cost $2.75. In July the price increased to
$2.92. What is the percent of increase of a gallon of gasoline from June to
July? Round to the nearest tenth.
Answer:
6.2%
Step-by-step explanation:
Hard to explain, but easy. Take your new value, and subtract your initial (starting) value from the new value. In this case, it would be 2.95-2.75= 17. You now can take you difference (17) and divide it by the initial value, so 17/2.75. This gives you 6.181818182. Round to 6.2%
Sheldon is creating a graph to represent the trip he takes from his home to his favorite clothing store. In his graph, one unit on the coordinate plane is equal to one mile. He draws a point at $\left(4,\ 3\right)$ to represent the location of his house. The store is $5$ miles away from his house. Which coordinate pairs could represent the location of Sheldon's favorite clothing store?
Answer:
hjgfghjk
Step-by-step explanation:
:)
help me please, i don’t get it loll
Answer:
subtract to find A
Step-by-step explanation:
SOMEONE PLEASE HELP ME WITH THIS QUESTION!
Answer:
i dont know but i have a pic for u
Step-by-step explanation:
Kim spent $44 on eating utensils. Spoons cost $4 and forks cost $6. If she bought a total of 9 utensils then how many of each kind did she buy?
Answer:
3 spoons and 6 forks
Step-by-step explanation:
9 = x + y; x= 9-y
44 = 4x + 6y
44 = 4(9-y) + 6y
44 = 36 - 4y +6y
44 = 36 +2y
2y = 44-36 = 12
y = 12/2 =6
x= 9-y = 9-6 =3
15 pints because 2 questions
Answer:
1.its B
2.G
Step-by-step explanation:
What is the correct factorisation of?
X^2+6x+8
Answer:
Step-by-step explanation:
Given that: x
2
+6x+8
=x
2
+4x+2x+8, (split middle term)
=(x
2
+4x)+(2x+8), (group pair of terms)
=x(x+4)+2(x+4), (factor each binomials)
=(x+4)(x+2), (factor out common factor (x+4)
Hence factors of x
2
+6x+8 are (x+4)(x+2)
Ok last question its very "hard" mods don't delete
what is 3x+12= 42
Answer:
x is 10.
Step-by-step explanation:
3x + 12 = 42
Subtract 12 from both sides
3x = 42 - 12
Subtract 12 from 42 to get 30
3x = 30
Divide both sides by 3
x = 30/3
Divide 30 by 3 to get 10
x = 10
Use the limit definition of the derivative to find the slope of the tangent line to the curve
f(x)= 7x^2 + 7x + 3 at x= 4
Answer:
[tex]\displaystyle f'(4) = 63[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Expand by FOIL (First Outside Inside Last)FactoringFunction NotationTerms/CoefficientsCalculus
Derivatives
The definition of a derivative is the slope of the tangent line.
Limit Definition of a Derivative: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]
Step-by-step explanation:
Step 1: Define
f(x) = 7x² + 7x + 3
Slope of tangent line at x = 4
Step 2: Differentiate
Substitute in function [Limit Definition of a Derivative]: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7(x + h)^2 + 7(x + h) + 3]-(7x^2 + 7x + 3)}{h}[/tex][Limit - Fraction] Expand [FOIL]: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7(x^2 + 2xh + h^2) + 7(x + h) + 3]-(7x^2 + 7x + 3)}{h}[/tex][Limit - Fraction] Distribute: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7x^2 + 14xh + 7h^2 + 7x + 7h + 3] - 7x^2 - 7x - 3}{h}[/tex][Limit - Fraction] Combine like terms (x²): [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7x + 7h + 3 - 7x - 3}{h}[/tex][Limit - Fraction] Combine like terms (x): [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7h + 3 - 3}{h}[/tex][Limit - Fraction] Combine like terms: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7h}{h}[/tex][Limit - Fraction] Factor: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{h(14x + 7h + 7)}{h}[/tex][Limit - Fraction] Simplify: [tex]\displaystyle f'(x)= \lim_{h \to 0} 14x + 7h + 7[/tex][Limit] Evaluate: [tex]\displaystyle f'(x) = 14x + 7[/tex]Step 3: Find Slope
Substitute in x: [tex]\displaystyle f'(4) = 14(4) + 7[/tex]Multiply: [tex]\displaystyle f'(4) = 56 + 7[/tex]Add: [tex]\displaystyle f'(4) = 63[/tex]This means that the slope of the tangent line at x = 4 is equal to 63.
Hope this helps!
Topic: Calculus AB/1
Unit: Chapter 2 - Definition of a Derivative
(College Calculus 10e)
Determine if each of the numbers below is a solution to the inequality 3x-2<2-2x. SHOW ALL OF YOUR WORK
a. 2
b. 1/2
c. -3
d. 2/3
Answer:
b, c, and d are solutions
Step-by-step explanation:
3x - 2 < 2 - 2x
5x - 2 < 2
5x < 4
x < 4/5
b) 1/2 < 4/5 true
c) -3 < 4/5 true
d) 2/3 < 4/5 true
What is the answer to (a²)(a⁵)(a⁷)
Answer:
The answer would be a^70
Step-by-step explanation:
Hope this helped!! If it is wrong please tell me and I will re-check my answer. :)
plz help this is what might get m to a 100 so plz help me
Answer:
I'd say it's the first dot in from the left (close to 2.4)
Step-by-step explanation:
the square root of 6 is 2.4494, and that's very close to 2.4
Which expressions have exactly two factors? Choose ALL that apply.
Please Help
Answer: xy and 3(b - 1 )
Step-by-step explanation:
Answer:
Step-by-step explanation:
this expression is xy and 3(b-1)
In your own words what is the definition of reflection (in geometry)
Answer:
a reflection is an isometry, which means the original and image are congruent, which can be reffered to as a flip
Step-by-step explanation:
Un elev a depus la banca suma de 250 lei. Știind ca banca oferă dobânda anuala de 1%,iar stația impozitează dobânda cu 16%,aflati ce suma va avea elevul după un an de depunere.
Răspuns:
292,50
Explicație pas cu pas:
Dobânda totală% = (1% + 16%) = 17% = 17/100 = 0,17
Suma principală depusă, P = 250
Suma totală, A după 1 an poate fi calculată astfel:
A = P (1 + rt)
Unde ; r = rata dobânzii; t = timp
A = 250 (1 + (0,17 * 1))
A = 250 (1,17)
A = 292,5
answer this question
The length of a rectangle is equal 3x - 2. The width of the rectangle is equal to
x2 - 4x + 8. Which expression is equal to the perimeter of the rectangle?
pls answer someone
Answer:
14x-4
Step-by-step explanation:
2(3x-2)+2(2x-4x+8)
6x-4+4x-8x+16x
14x-4
what is the volume of the sphere?
Please help !! (no fake answers please !!) I'll mark brainlist.
Answer: area mean multiply
Step-by-step explanation:
Answer:
76 feet (Just put 76 in the answer box)
Step-by-step explanation:
Knowing the perimeter of a rectangle is 2l + 2w, multiply 2 by 3.5. Then multiply 2 by 4.5, and add them together.
2(3.5) + 2(4.5)
The two products would be 7 and 9 respectively.
7 + 9 = 16 feet of fencing for 1 rabbit pen.
We have 2 pens, so multiply 16 by 2.
The rabbit pens need 32 feet of fencing.
(Alternatively you could have done 2(2(3.5 + 4.5)).
2(2(8))
2(16)
32 ft of fencing (rabbit pens))
Now, add 12 and 10. Then multiply that by 2.
2(12 + 10)
2(22)
The garden needs 44 feet of fencing.
Now add 32 and 44 to get the total amount of fencing needed.
32 + 44
The rabbit pens and the garden need 76 feet of fencing. (Just put 76 in the answer box as the unit (feet) is already given.)
The cross country team practices by jogging on
the town’s streets. The average jogging rate
is 6 mi
les per hour. One member jogged for
3.5 hours one weekend. How many mi
les did
the team member jog?
