Answer:
135000
Step-by-step explanation:
Given: A pack of pencils contain a dozen pencils. 450 such packs were put in a carton. There are 25 such cartons.
To find: total number of pencils
Solution:
Total number of pencils in a pack = 1 dozen = 12
Total number of packs = 450
Total number of cartons = 25
Total number of pencils = 12 × 450 × 25 = 135000
So, total number of pencils is 135000.
A financial institution offers a "double-your-money" savings account in which you will have $2 in 11 years for every dollar you invest today. What annual interest rate does this account offer? Please specify your answer in decimal terms and round your answer to the nearest thousandth (e.G., enter 12.3 percent as 0.123).
Answer:
[tex]r=0.07[/tex]
Step-by-step explanation:
From the question we are told that
An offer of 2$ in 11 years on every dollar
Generally we make use of this formula
[tex]F=P(1+r/100)^t[/tex]
where
[tex]f=Future value[/tex]
[tex]P= present value[/tex]
[tex]r=Rate[/tex]
[tex]t=time[/tex]
Mathematically solving for the rate
[tex]2=1(1+r/100)^1^1[/tex]
[tex](2)^1^/^1^1=(1+r/100)[/tex]
[tex](1+r/100=1.0650[/tex]
[tex]r=(1.0650-1) *100[/tex]
[tex]r=0.07[/tex]
Generally this shows that the account give an annual rate of 0.07
During the day, the temperature increases by 4.5 degrees. At night, the temperature decreases by 7.5 degrees. What is the overall change in temperature?
Answer:-3 degrees
Step-by-step explanation:
just did 4.5-7.5
Use <, >, or = to compare the following
-10 and 0
-4 and -3
-10<0
-4<-3
Step-by-step explanation:
if you are talking about what is greater than this is the answer
Answer: -10<0 -4<-3
Step-by-step explanation:-10 is less than 0 because negative(-)means that number less than 0. -4 is less than -3 because even though it’s a higher number it’s negative.
True or False? A triangle can have side lengths of 3, 3 , and 6
Answer:
No
Step-by-step explanation:
We can check with the Pythagorean Theorem.
a^2 + b^2 = c^2
a and b are always the smaller sides, the legs
c is the longer side, the hypotenuse
3^2 + 3^2 > 6^2
9 + 9 > 36
18 < 36
18 is not greater than 36, therefore this triangle can not have the side lengths 3, 3, and 6.
in an 7th grade class with 80 people, seven tenths of the students wore shorts, if three sevenths of those students who wore shorts also wore tank tops, how many 7th graders wore shorts and tank tops
Answer:
56
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
[tex]\frac{7}{10}[/tex]· 80 wore shorts; this equals 56
of the 56, 3/7 wore tank tops; 56 · [tex]\frac{3}{7}[/tex] = 24
A set of floor speakers costs $466. If the extended warranty on the speakers costs 32% of the price of the speakers, how much does the extended warranty cost
Answer: 149.12
Step-by-step explanation:
to find out the extended warranty we do,
466*(32/100)=149.12
The extended warranty cost is $149.12.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, a set of floor speakers costs $466.
If the extended warranty on the speakers costs 32% of the price of the speakers.
Now, extended price =32% of 466
32/100 ×466
= 0.32×466
= $149.12
Therefore, the extended warranty cost is $149.12.
To learn more about the percentage visit:
brainly.com/question/24159063.
#SPJ5
Slope of line that passes through the points (19,-16) (-7,-15)
Answer:
m= -1/26
Step-by-step explanation:
plug into the formula and solve
4. Find the value of the real number y such that
(3+2i)(1 + iy)
is :
(a) real
(b) imaginary
Step-by-step explanation:
(3 + 2i)(1 + iy)
= 3 + (3y + 2)i - 2y (because i² = -1)
For this to be real, (3y + 2) = 0. => y = -2/3
For this to be imaginary, y can be any real or complex number (except -2/3)
The ratio of the length to the width of a rectangular patio is 5:2, and its
width is 5 feet. Find its length.
*
Answer:
12.5 ft
Step-by-step explanation:
5/2 = 2.5
5*2.5 = 12.5 ft
What is the solution to the rational equation x/x^2-9 + 1/x+3 + 1/4x-12
x/x^2-9 + 1/x-3 = 1/4x-12
x/(x+3)(x-3)+1/(x-3)=1/4(x-3)
LCD: 4(x+3)(x-3)
4x+4(x+3)=(x+3)
4x+4x+12=x+3
7x=-9
x=-9/7
what is the solution of
Answer:5
Step-by-step explanation:
Eric sells model cars from a booth at a local flea market. He purchases each model car from a distributor for $14 and the flea market charges him a booth fee of $30. Eric sells each model car for $20. How many cars will Eric have to sell to break even?
Answer: 5 cars
Step-by-step explanation:
Breakeven point = Fixed Cost/ Contribution margin
Fixed cost is $30 which is the flea market booth charge
Contribution margin is sales price less variable cost.
The Variable Cost is the amount he is charged by the distributor of $14.
Contribution Margin = 20 - 14
= $6
Breakeven point = 30/6
= 5 cars
Find the area of a circle with diameter 10 cm . Use the value 3.14 for π , and do not round your answer. Be sure to include the correct unit in your answer. Whatts the answer?
Answer:
Area of circle = 31.4 cm²
Step-by-step explanation:
Given the following data;
Diameter, d = 10 cm
π = 3.14
Area of a circle is given by the formula;
πd
Substituting into the equation, we have;
Area of circle = 3.14 * 10
Area of circle = 31.4 cm²
PLS HELP (LAST QUESTION)
If you have 360 Nickels, how many dollars do you have?
- 18
- 7,200
- 340
- 380
Answer:
You would have $18
Step-by-step explanation:
Have a good day!
2/3 ÷ 2/4 =
1/4
4 2/4
1 2/6
2/3
How many terms are there in the expression
3x*2+1/2x+8.
Answer:(–7) hope that helps
Step-by-step explanation:
A builder wants to build a sump to store water in an apartment. The volume of the
rectangular sump will be modelled by V(x) = x3 + x2 - 4x - 4.
He planned in such a way that its length and breadth are (x + 1) and (x - 2) respectively.
How much he has to dig?
(a) (x + 1]
(b) (x - 2)
(c) (x-3)
(d) (x + 2)
(ii) If x = 4 meter, what is the storage capacity (in litres) of this sump?
(iii) A ladder is kept a point halfway from the base as shown in the figure. It just touches
the top of the sump. Find the length of the ladder, assuming x-42 (correct to 1 dp)
Answer:
1) b, 2) d, 3) dStep-by-step explanation:
The volume is the product of three dimensions
V = lwhGiven:
w = x + 1, l = x + 2 and V(x) = x³ + x² - 4x - 4
1) Let's find the height:
x³ + x² - 4x - 4 =x²(x + 1) - 4(x + 1) = (x² -4)(x + 1) = (x + 2)(x - 2)(x + 1)We got h = x - 22) x = 4 m
Volume is:
V = 4³ + 4² - 4*4 - 4 = 60 m³3) x = 4 m
Dimensions are:
w = x + 1 = 5 m, l = x + 2 = 6 m, h = x - 2 = 2 mFull surface area is:
2(lw + lh + wh) =2(5*6 + 6*2 + 5*2) = 104 m²PLSS HELP HURRY TY
whats the y intercept for the function f(x)= 2*5^x + 4
Answer:
The y-intercept should be (0, 6)
With the given information, can it be determined that m || n? Write yes or no. If yes, state the theorem used.
m<1+m<2=180
Answer:
No. i looked it up XD sorry if its wrong if right please give me brainliest
It costs $3 for children and $7 for adults to attend a school basketball game. If 5000 people attended the game and the total takings at the door was $25000, determine the number of children and the number of adults that attended the game, using simultaneous elimination.
Answer:
2500 children and 2500 adults
The number of children is 2500 and the number of adults that attended the game is also 2500.
System of equations:Let us consider that, number of children be x and number of adults be y that attend game.
Since, total 5000 people attend the game.
[tex]x+y=5000\\\\x=5000-y..........(1)[/tex]
It costs $3 for children and $7 for adults and the total takings at the door was $25000
[tex]3x+7y=25000 .............(2)[/tex]
Substitute value of x from equation 1 into equation 2.
[tex]3(5000-y)+7y=25000\\\\15000-3y+7y=25000\\\\4y=10000\\\\y=10000/4=2500[/tex]
So that, [tex]x=5000-2500=2500[/tex]
Thus, the number of children is 2500 and the number of adults that attended the game is also 2500.
Learn more about the system of equation here:
https://brainly.com/question/13729904
please answer, I haven’t no clue how to work it out
Answer:
C. x-2
Step-by-step explanation:
x² + 7x - 18 = 0
the factor must be p and q from the form.of
(x+p)(x+q) = 0
then find the value of p and q by this rules
p + q = 7
p x q = -18
p = 9
q = -2
(x + 9)(x + (-2)) = 0
(x+9)(x-2) = 0
Answer:
c.) [tex](x-2)[/tex]
Step-by-step explanation:
The given expression is written in the form [tex]ac^2+bx+c[/tex]. To factor, find two numbers whose sum is b and whose product is c:
_×_=-18
_+_=7
Use -2 and 7:
-2×9=-18
-2+9=7
Substitute the two numbers for b:
[tex]x^2-2x+9x-18[/tex]
[tex](x^2-2x)+(9x-18)[/tex]
Factor out common terms. The common term in the first parentheses is x and the common term in the second is 9:
[tex]x(\frac{x^2-2x}{x} )+9(\frac{9x-18}{9})\\\\x(x-2)+9(x-2)[/tex]
Cancel out one of the parentheses since they have the same terms and plug the factored numbers in:
[tex](x-2)(x+9)[/tex]
:Done
Check Your Work:
To see if the given factored form is true, simplify it using FOIL:
First, Outside, Inside, Last
[tex](x-2)(x+9)[/tex]
Multiply the first terms:
[tex]x*x=x^2[/tex]
Multiply the terms on the outside:
[tex]x*9=9x\\\\x^2+9x[/tex]
Multiply the inside terms:
[tex]-2*x=-2x\\\\x^2+9x-2x[/tex]
Multiply the last terms:
[tex]-2*9=-18\\\\x^2+9x-2x-18[/tex]
Combine like terms:
[tex]x^2+(9x-2x)-18\\\\x^2+7x-18[/tex]
Therefore, the factored form is true.
1.3472+1.1528=???
pls solve
Answer: 2.5
Step-by-step explanation:
Please help me with 6 and 7 please
Answer:
6. Second choice, 51
7. Second choice, 3
Step-by-step explanation:
6. Multiply 255 with 1/5 = 255/5 = 51 times
7. 1/400 mutiply with 1200 = 1200/400 = 3
I will give u Brainlest. Cake decorators use buttercream icing on 84% of all their cupcakes. How many cupcakes had buttercream icing if the bakery sold 2100 cupcakes during the holiday season?
5.) Robert can do 52 jumping jacks in 10 minutes. At this rate, how many jumping jacks
can Robert do in 35 minutes?
Find the missing factor B that makes the equality true.
-35x^6=(5x^2)(B)
Answer:
please mark me brainliest and follow me my friend.
Write the equation of the line fully simplified slope intercept form
Answer:
y = - 1/2x + 5
Step-by-step explanation:
the slope is -1/2 because the line is declining two units to the right for every one unit down. and the "b" is 5 because the line hits the y-axis at +5
Can someone please help me? If it is correct I will give Brainliest
Thank you
Answer:
its C
Step-by-step explanation:
Answer: it would be B, here a picture for you to understand it
Step-by-step explanation: Hope you see the picture and hope this help
Does the equation y=3/4x +7 describe a proportional relationship
What are the explicit equation and domain for an arithmetic
sequence with a first term of 5 and a second term of 3?
Given:
First term of an arithmetic sequence = 5
Second term = 3
To find:
The explicit formula for the given arithmetic sequence.
Solution:
We have,
First term: [tex]a_1=5[/tex]
Second term: [tex]a_2=3[/tex]
Common difference is
[tex]d=a_2-a_1[/tex]
[tex]d=3-5[/tex]
[tex]d=-2[/tex]
Now, the explicit formula for an arithmetic sequence is
[tex]a_n=a+(n-1)d[/tex]
where, a is first term and d is common difference.
Putting a=5 and d=-2, we get
[tex]a_n=5+(n-1)(-2)[/tex]
It can also be written as
[tex]a_n=5-2n+2[/tex]
[tex]a_n=7-2n[/tex]
Here, n is an integer greater than or equal to 1.
Domain is the set of input values.
Therefore, the explicit equation is [tex]a_n=5+(n-1)(-2)[/tex] or [tex]a_n=7-2n[/tex] and domain is all interest greater than or equal to 1.