Answer:
[tex]\displaystyle \frac{5}{6}\cdot \frac{-8}{15}=-\frac{4}{9}[/tex]
Step-by-step explanation:
Fraction Multiplying
The product of two fractions can be obtained by multiplying their numerators and denominators separately. Then, simplify and show the result.
We are given the product:
[tex]\displaystyle \frac{5}{6}\cdot \frac{-8}{15}[/tex]
Multiply as directed:
[tex]\displaystyle \frac{5}{6}\cdot \frac{-8}{15}=\frac{5*(-8)}{6*15}=-\frac{40}{90}[/tex]
Simplifying by 10:
[tex]\displaystyle -\frac{40}{90}=-\frac{4}{9}[/tex]
Thus:
[tex]\boxed{\displaystyle \frac{5}{6}\cdot \frac{-8}{15}=-\frac{4}{9}}[/tex]
The manager of a technology store wants to save $20,000 in 3 years to make a down payment on a condominium. How much (in dollars) does the manager need to invest at the beginning of each week into an account that earns 7.25% interest compounded weekly
Answer:
$16,104.35Step-by-step explanation:
the expression for compound interest is given as
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
A=$20,000
P=?
r=7.25%=0.0725
n=52 weeks
t=3 year
[tex]20000= P(1 + \frac{0.0725}{52})^{52*3}\\\\20000= P(1 + \frac{0.0725}{52})^{156}\\\\20000= P(1 +0.00139)^{156}\\\\20000= P(1.00139)^{156}\\\\20000=1.2419P\\\\P=20000/1.2419\\\\P=16104.35\\[/tex]
the manager need to invest $16,104.35
what is 2,606 + 7,025?
Answer:
2606 + 7025 = 9631
Pls mark me brainliest
Answer: 9631
2606
+7025
9631
what are the partial products of 9 x 813
Answer:
813
* 9. 9*800= 7200
9*10. =90
7200
90. 9*3. =27
27
7317
The partial product is 7317.
What is partial product?The partial product method involves multiplying each digit of a number in turn with each digit of another where each digit maintains its place. (So, the 2 in 23 would actually be 20.)
Given:
9 x 813
Now, breaking the number according to their place value.
So, 813
=(800 + 10 +3)
Then the partial product will be written as
=9 * (800 + 10 +3)
=9* 800+ 9*10 + 9*3
=7200 + 90 + 27
= 7317
Hence, the partial product is 7317.
Learn more about partial product here:
https://brainly.com/question/24716925
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The area A of a triangle with base b and height h is given by A = = bh. Find the area when b = 18 m (meters) and h = 30 m.
The area is m?
Answer:
[tex]Area = 270m^2[/tex]
Step-by-step explanation:
Given
[tex]A = \frac{1}{2}bh[/tex]
[tex]b = 18m[/tex]
[tex]h = 30m[/tex]
Required
Solve for A
Simply substitute 18 for b and 30 for h
[tex]A = \frac{1}{2}bh[/tex]
[tex]A = \frac{1}{2} * 18 * 30[/tex]
[tex]A = 270[/tex]
Hence:
The area is
[tex]Area = 270m^2[/tex]
A candlemaker prices one set of scented candles at $10 and sells an average of 200 sets each week. He finds that when he reduces the price by $1, he then sells 50 more candle sets each week. A function can be used to model the relationship between the candlemaker's weekly revenue, R(x), after x one-dollar decreases in price.
Answer:
R(x) = -50x2 + 300x + 2000
Maximum revenue of $2450 with x = 3
Step-by-step explanation:
For each 1$ reduced of the price, he sells 50 more candle sets, so if he reduces x times the price by 1$, the final price will be:
price = 10 - x
And the number of sets sold will be:
sets = 200 + 50x
If the revenue is the price times the number of sets sold, we have that:
R(x) = (10 - x) * (200 + 50x)
R(x) = 2000 + 500x - 200x - 50x2
R(x) = -50x2 + 300x + 2000
To find the value of x that gives the maximum revenue, we use the formula of the vertex of the quadratic equation:
x_v = -b / 2a
x_v = -300 / (-100) = 3
And the maximum revenue is:
R(x_v) = -50*3^2 + 300*3 + 2000 = $2450
Thirty-one plus three times a number is seventy-six.
Helppp.
Answer:
15
Step-by-step explanation:
Pretend a is the number.
We have: 31 + 3a = 76
=> 3a = 76 - 31 = 45
=> a = 45/3
=> a = 15
help please giving branliest
Answer:
C) 53°
Step-by-step explanation:
We know that <3 and <4 are equal, so we can solve for y.
3y+7=5y-73
7+73=5y-3y
80=2y
y=40
Now plug that in to <3
3y+7=3(40)+7=127
We know that <3 and <2 equal 180.
180-127=53
So <2=53°
Which is cd = pq – a solved for q?
Step-by-step explanation:
The answer is
[tex]q = \frac{cd}{p} [/tex]
I'm sorry I told everyone your secret," my sister said.
(apologized)
Write these sentences in reported speech using the verb given in brackets.
Answer:
My sister apologized for telling everyone my secret.
Explanation:
Reported (or indirect) speech is a way to express someone's words without explicitly quoting them. The original sentence is an example of direct (quoted) speech, which means that someone's exact words are repeated. An obvious sign of this are the quotation marks. When it comes to the reported speech, these quotation marks are omitted because a direct quotation is no longer present.
A: 20
B: 25
C: 30
D: 35
Is X=10 a solution to the following equation? Show work to justify your answer.
-7x + 50 = x - 10
Answer:
x= 7.5
(that should be the answer)
Step-by-step explanation:
-7x+50 = x-10
10+50 = x+7x
60= 8x
60/8 = x
7.5= x
help help hppppppp
Answer: 3
Step-by-step explanation:
N=7
The humidity dropped an average of 1 1/3% each hour over the last six hours. What was the total change in humidity?
Answer:7 /13
Step-by-step explanation:
In order to solve for the variable in the equation 2 (4 x + 3) + 4 = 3 x minus (2 x + 4), Giovanni first applies the distributive property. Which equation is a result of this step? 8 x + 3 + 4 = 3 x minus 2 x + 4 8 x + 6 + 4 = 3 x minus 2 x minus 4 6 x + 5 + 4 = 3 x minus x + 3 6 x + 3 + 4 = 3 x minus x + 4
Answer:
b
Step-by-step explanation:
Answer:
B) 8x + 6 + 4 = 3x - 2x - 4
Step-by-step explanation:
Just took the test on edg :)
The weights of baby tortoises are approximately Normal with a mean of 25.6 ounces and a standard deviation of 2.3 ounces. What proportion of baby tortoises weigh between 25 and 30 ounces?
592344435555544433234555
From a circular sheet of paper with a radius 20 cm, four circles
of radius 5 cm each are cut out. What is the ratio of the uncut to
the cut portion?
Answer:
3 : 1
Step-by-step explanation:
The biggest circle has a radius of 20 cm
So that means, its area will be,
Area = [tex]\pi r^{2}[/tex]
Area = [tex]\pi * 20^{2}[/tex]
A = [tex]\pi * 400[/tex]
=> A = 400[tex]\pi[/tex]
We do not need to solve this because it is nit required
Then, one small circle has an area of,
Area = [tex]\pi r^{2}[/tex]
Area = [tex]\pi *5^{2}[/tex]
Area = [tex]\pi *25[/tex]
=> Area = 25[tex]\pi[/tex]
As there are 4 circles in, we get that the area covered by the small squares,
=> [tex]25\pi * 4[/tex]
=> [tex]100\pi[/tex]
So, the amount shaded = 100/400 (We can omit the [tex]\pi[/tex] at this stage because we are finding out a ratio)
=> 1/4
So, there is 1 cut region and the remaining is the uncut region,
As we need to find uncut to cut, the ratio will be,
=> remaining : 1
=> 3 : 1
If my answer helped, kindly mark me as the brainliest!!
Thanks!!
Solve for z. -10 = 5z + 5
Answer: -2
:)
Step-by-step explanation:
2.) You need a carpet installed in your living room. You reach out to 2 different companies
for installation pricing. Lowes charges $ 2 a square foot and $60 to bring the
materials. Home Depot Charges $1.50 a square foot and $ 80 to bring the materials.
If your living room is 100 square feet, which company would you use?
Answer:
Home Depot
Step-by-step explanation:
Home Depot Has better charges because you have to multiply the question to see which one is lower.
11. Mary just received her paycheck and would like to cash it. She does not have a checking account, where should she go to cash it? *
Answer:
Cash it at the issuing bank (this is the bank name that is pre-printed on the check)
Cash a check at a retailer that cashes checks (discount department store, grocery stores, etc.)
Cash the check at a check-cashing store.
Deposit at an ATM onto a pre-paid card account or checkless debit card account.
Step-by-step explanation:
Answer:
Amscot?
Step-by-step explanation:
Two containers of gasoline hold a total of 50 gallons. The big container can hold 10 gallons less than twice the small
container. How many gallons does each container hold?
Answer:
The big container holds 30 gallons and the small container holds 20 gallons
Step-by-step explanation:
Let
The big container = x
Small container = y
The big container can hold 10 gallons less than twice the small
x = 2y - 10
Total gasoline in both containers = 50 gallons
x + y = 50
Substitute x = 2y - 10 into the equation
2y - 10 + y = 50
3y = 50 + 10
3y = 60
Divide both sides by 3
y = 60 / 3
= 20
y = 20 gallons
Recall,
x + y = 50
x + 20 = 50
x = 50 - 20
= 30
x = 30 gallons
The big container holds 30 gallons and the small container holds 20 gallons
Answer:
The big container has 30 gallons and the small container has 20 gallons.
Step-by-step explanation:
What is 9,200 equal in hundreds
Mr. smith planted some new trees at his farm. He measured each tree. The height of each tree is shown in the line plot.
Answer:
one tree is 3 feet tall
most of the trees are less than 5 feet tall
Step-by-step explanation:
PLZZZ HELP ME WITH THESE 4 QUESTIONS
THX SO MUCH!! ( 80 POINTSSSSS!!!!)
For section 3.01 black, number 1 is correct, but number 2 is wrong.
When you raise an exponent to an exponent, you multiply the 2 exponents.
(x^4)^5 is x^20.
Number 3 is also right.
For 3.02, you use the interest formula. (1 + i/100)^t times x
x is the amount of money you have originally. i is the interest rate, t is the time.
1,500(1.03)^5 = 1738.91111145
$1738.91
For section 3.01 red in fractional exponents the numerator are the powers and the denominator is the root.
[tex]\sqrt[4]{a^{3} } = a^{\frac{3}{4} }[/tex]
Answer:
For section 3.01 black, number 1 is correct, but number 2 is wrong.
When you raise an exponent to an exponent, you multiply the 2 exponents.
(x^4)^5 is x^20.
Number 3 is also right.
For 3.02, you use the interest formula. (1 + i/100)^t times x
x is the amount of money you have originally. i is the interest rate, t is the time.
1,500(1.03)^5 = 1738.91111145
$1738.91
For section 3.01 red in fractional exponents the numerator are the powers and the denominator is the root.
Step-by-step explanation:
Ronald has a 10% solution of the fertilizer Super Grow. How much pure Super Grow should he add to the mixture to get 36 oz of a 12.5% concentration?
Answer:
1 oz
Step-by-step explanation:
Given that:
% solution of super grow fertilizer = 10%
To obtain mixture of 36oz of a 12.5% concentration
Let oz of pure supergrowth to be added = s
(Initial % * (36 - s) + s) / 36 = target concentration
(10% * (36 - s) + s) / 36 = 12.5%
(0.1(36 - s) + s) / 36 = 0.125
Cross multiply:
0.1(36 - s) + s =. 0.125 * 36
3.6 - 0.1s + s = 4.5
3.6 + 0.9s = 4.5
0.9s = 4.5 - 3.6
0.9s = 0.9
s =. 0.9/0.9
s = 1
Hence, 1 oz of pure supergrowth should be added to the 10% solution to get 36 oz of a 12.5% concentration.
Rectangles P, Q, R, and S are scaled copies of one another. For each pair, decide if the scale factor from one to the other is greater than 1, equal to 1, or less than 1.
The image showing the complete question is attached.
Answer:
1) Scale factor = 2
2) Scale factor = 4
3) Scale factor = ½
4) Scale factor = 2
5) Scale factor = 1
6) Scale factor = ¼
7) Scale factor = 1
Step-by-step explanation:
Scale factor is a number by which the dimensions of an object are multiplied in order to create an enlarged or reduced object.
Now, from the image attached;
1) From P to Q, we see that the length of Q seems to be double that of P. Similarly, the width of Q seems to be double that of P. Thus, each dimension of P is said to be multiplied by 2 to achieve the enlarged dimensions of Q.
Thus, scale factor = 2
2) From P to R, we see that the length of R seems to be 4 times that of P. Similarly, the width of R seems to be 4 times that of P. Thus, each dimension of P is said to be multiplied by 4 to achieve the enlarged dimensions of R.
Thus, scale factor = 4
3) From Q to S, we see that the length of S seems to be half of that of Q. Similarly, the width of S seems to be half of Q. Thus, each dimension of Q is said to be multiplied by ½ to achieve the reduced dimensions of S.
Thus, scale factor = ½
4) From Q to R, we see that the length of R seems to be double that of Q. Similarly, the width of R seems to be double that of Q. Thus, each dimension of Q is said to be multiplied by 2 to achieve the enlarged dimensions of R.
Thus, scale factor = 2
5) From S to P, we can see that the dimensions of both rectangles remain the same. Thus, S was multiplied by a factor of 1 to get P. Scale factor = 1
6) From R to P, we see that the length of P seems to be a quarter that of R. Similarly, the width of P seems to be quarter of R. Thus, each dimension of R is said to be multiplied by ¼ to achieve the reduced dimensions of P.
Thus, scale factor = ¼
7) From P to S, we can see that the dimensions of both rectangles remain the same. Thus, P was multiplied by a factor of 1 to get S. Scale factor = 1
The figure is composed of a rectangular prism and a triangular prism. Find the volume of the figure.
14 in.
32 in.
14 in.
9 in.
The volume of the figure is
in?
Answer:
either 4032 or 56448
Step-by-step explanation:
you have to multiply length times height times width.
7th grade math help me plzzz
Answer:
-7 minus 9 = -16
-3-(-10) =7
8-12=-4
4-(-5)=9
Step-by-step explanation:
im in 7th grade on edginuity got it all right
I don't understand how to explain the answer will you help pls I will give you 50 pts if you help me!
Answer: Whats the question? I dont see
Step-by-step explanation:
Does anyone stan Twice??
Answer:
This is literally me.
Step-by-step explanation:
the height h(t) of a trianle is increasing at 2.5 cm/min, while it's area A(t) is also increasing at 4.7 cm2/min. at what rate is the base b(t) chaging when the height h=15cm and the area A= 130cm2
Answer:
The base of the triangle decreases at a rate of 2.262 centimeters per minute.
Step-by-step explanation:
From Geometry we understand that area of triangle is determined by the following expression:
[tex]A = \frac{1}{2}\cdot b\cdot h[/tex] (Eq. 1)
Where:
[tex]A[/tex] - Area of the triangle, measured in square centimeters.
[tex]b[/tex] - Base of the triangle, measured in centimeters.
[tex]h[/tex] - Height of the triangle, measured in centimeters.
By Differential Calculus we deduce an expression for the rate of change of the area in time:
[tex]\frac{dA}{dt} = \frac{1}{2}\cdot \frac{db}{dt}\cdot h + \frac{1}{2}\cdot b \cdot \frac{dh}{dt}[/tex] (Eq. 2)
Where:
[tex]\frac{dA}{dt}[/tex] - Rate of change of area in time, measured in square centimeters per minute.
[tex]\frac{db}{dt}[/tex] - Rate of change of base in time, measured in centimeters per minute.
[tex]\frac{dh}{dt}[/tex] - Rate of change of height in time, measured in centimeters per minute.
Now we clear the rate of change of base in time within (Eq, 2):
[tex]\frac{1}{2}\cdot\frac{db}{dt}\cdot h = \frac{dA}{dt}-\frac{1}{2}\cdot b\cdot \frac{dh}{dt}[/tex]
[tex]\frac{db}{dt} = \frac{2}{h}\cdot \frac{dA}{dt} -\frac{b}{h}\cdot \frac{dh}{dt}[/tex] (Eq. 3)
The base of the triangle can be found clearing respective variable within (Eq. 1):
[tex]b = \frac{2\cdot A}{h}[/tex]
If we know that [tex]A = 130\,cm^{2}[/tex], [tex]h = 15\,cm[/tex], [tex]\frac{dh}{dt} = 2.5\,\frac{cm}{min}[/tex] and [tex]\frac{dA}{dt} = 4.7\,\frac{cm^{2}}{min}[/tex], the rate of change of the base of the triangle in time is:
[tex]b = \frac{2\cdot (130\,cm^{2})}{15\,cm}[/tex]
[tex]b = 17.333\,cm[/tex]
[tex]\frac{db}{dt} = \left(\frac{2}{15\,cm}\right)\cdot \left(4.7\,\frac{cm^{2}}{min} \right) -\left(\frac{17.333\,cm}{15\,cm} \right)\cdot \left(2.5\,\frac{cm}{min} \right)[/tex]
[tex]\frac{db}{dt} = -2.262\,\frac{cm}{min}[/tex]
The base of the triangle decreases at a rate of 2.262 centimeters per minute.
