Answer:
Step-by-step explanation:
Since the bases are different, each expression must be done independently.
6.7*10^8
6.7*6.7*6.7*6.7*6.7*6.7*6.7*6.7= 4,060,676.78
1.2*10^2
1.2*1.2= 1.44
multiply the two= 5847374.56
The sum of any two number is 21and the sum of their squares is 261.find the numbers.
Answer:
The two numbers are 6 and 15.
Step-by-step explanation:
[tex]x+y=21\\y=21-x\\x^{2} +y^{2} =261\\x^{2} +(21-x)^{2}=261\\x^{2} +441-42x+x^{2} =261\\2x^{2} -42x+180=0\\x^{2} -21x+90=0\\(x-6)(x-15)=0\\[/tex]
x=6 and x=15
Solve the formula B=(R+M)/2 for R
Answer:
2B-M=R
Step-by-step explanation:
PLS HELP im in a timededeedd teststs
Which is the graph of g(x) = ⌈x + 3⌉?
HELPP ASAP OR I WILL FAIL PLEASE
Step-by-step explanation:
The given equation is :
[tex]\dfrac{14+10x}{12}=-3[/tex]
Cross multiply,
[tex]14+10x=-3\times 12\\\\14+10x=-36\\\\10x=-36-14\\\\10x=-50\\\\x=-5[/tex]
This equation will have only one solution.
We can check the solution as follows :
Put x = -5 in LHS of the the given equation.
[tex]\text{LHS}=\dfrac{14+10x}{12}\\\\=\dfrac{14+10(-5)}{12}\\\\=\dfrac{14-50}{12}\\\\=\dfrac{-36}{12}\\\\=-3[/tex]
= RHS
Hence, this is the required solution.
is y=30x a function?
Answer:no try y=Mx+b
Step-by-step explanation:
Answer:
y = 30x is a function.
Step-by-step explanation:
Given an equation, there should be only one corresponding (cor a sponding to pronounce) y value for any y value.
Let u = (1,5), v = (-3, 3), and w = (2, 3). What is the direction angle of 4w - (2u + v)?
O= 59.0°
O = 173.7°
O=276.3°
O=353.7°
Answer:
D - 353.7
Step-by-step explanation:
Edge 2020
Answer:
option d
Step-by-step explanation:
edge 2023
a local soccer team collected 2,385 this week and 2,805 last week by selling tickets. Tickets are 5 per person. How many tickets were sold
Is there a proportional relationship between time and the cost of the cell phone plan? Explain how you know.
Answer:
yes, phone companies, are only allowed to charge for the amount of data you use
Step-by-step explanation:
If RT=6x+4 and SO =7x-6, what is the length of US
Melissa works for a florist. She used her employee discount to purchase 10 roses at $1.00 each. If melissa saved $4.00 by using her employee discount, what is the regular price if one rose purchased from the florist?
Answer: $1.4
Step-by-step explanation:
Given that:
Discounted price roses = $1
Amount saved = $4
Regular price - discounted price = amount saved
x - 10(1) = 4
x - 10 = 4
x = 4 + 10
x = $14
Regular price of 10 roses = $14
Regular price per rose = $14 / 10 = $1.4
What is
1/6
as a decimal?
Give your answer rounded to 3 decimal places.
Answer:
I think it is 0.167
Answer:
.167
Step-by-step explanation:
[tex]1 \div 6 = 0.16666666 \\ repeating \: so \: you \: round \: to \: the \: thousandths \: making \: it \: .167[/tex]
Please can I have an explanation, I am terrible at these kinds of questions! Q- A bag contains red, yellow and blue beads. The ratio of red beads to yellow beads is 2:3 The ratio of yellow beads to blue beads is 5:4 Work out what fraction of the beads are red.
Answer:
[tex]Red = \frac{10}{37}[/tex]
Step-by-step explanation:
Given
[tex]Red:Yellow = 2 : 3[/tex]
[tex]Yellow: Blue = 5 : 4[/tex]
Required
Determine the fraction of Red
First, we need to link the given ratios.
Since yellow is present in both ratios, we start by making the ratio of yellow equal in both ratios
Multiply this ratio by 5
[tex]Red:Yellow = 2 : 3[/tex]
This becomes
[tex]Red:Yellow = 10 :15[/tex]
Similarly, multiply this ratio by 3
[tex]Yellow: Blue = 5 : 4[/tex]
This becomes
[tex]Yellow:Blue =15:12[/tex]
At this point, we have:
[tex]Red:Yellow = 10 :15[/tex] and [tex]Yellow:Blue =15:12[/tex]
Combine
[tex]Red:Yellow:Blue = 10:15:12[/tex]
The fraction is then calculated as:
[tex]Red = \frac{Red}{Red +Yellow + Blue}[/tex]
This gives
[tex]Red = \frac{10}{10+15+12}[/tex]
[tex]Red = \frac{10}{37}[/tex]
8x - 3 = 16x - 33 find x
Answer:
The answer is x=15/4
Step-by-step explanation:
8x - 3 = 16x - 33
8x−3−16x=16x−33−16x
−8x−3=−33
−8x−3+3=−33+3
−8x=−30
−8x/-8=−30/-8
x=15/4
The value of the x for the equation 8x-3=16x-33 is 3.75.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The given equation is,
8x-3=16x-33
Simplify the equation,
⇒33-3 = 16x-8x
⇒30 = 8x
⇒8x = 30
⇒x = 3.75
The value of x is 3.75.
To know more about Equation on:
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Determine the number of terms n in each geometric series.
13) a1 = 0.75, r = 4, Sn =1023.75
Answer:
Number of terms: n=6
Step-by-step explanation:
We are given:
a₁ = 0.75
r = 4
Sₙ = 1023.75
We need to find number of terms i.e n
The formula used will be:[tex]S_n=\frac{a(r^n-1)}{r-1}[/tex]
Putting values and fining n
[tex]S_n=\frac{a(r^n-1)}{r-1}\\1023.75=\frac{0.75(4^n-1)}{4-1}\\ 1023.75=\frac{0.75(4^n-1)}{3}\\3\times 1023.75=0.75(4^n-1)\\3071.25=0.75(4^n-1)\\4^n-1=\frac{3071.25}{0.75}\\4^n-1=4095\\4^n=4095+1\\4^n=4096[/tex]
We know that [tex]4^6= 4096[/tex]
[tex]4^n=4^6[/tex]
Using Exponent rule: [tex]a^n=a^b => n=b[/tex]
[tex]n=6[/tex]
So, Number of terms: n=6
What is 40% of 160???
Answer:
64
Step-by-step explanation:
Stewie wants to rent a moving truck.Suppose company a charges a rate of $40 per day band company b charges a $60 fee plus has a rate of $20 per day.For what number of days is the cost same?
Answer:
The indifference point is 3 days.
Step-by-step explanation:
Company A:
Total cost= 40*x
Company B:
Total cost= 60 + 20*x
x= number of days
To calculate the indifference point, we need to equal both formulas. and isolate x:
40x = 60 + 20x
20x= 60
x= 60/20
x= 3
The indifference point is 3 days.
Prove:
Company A:
Total cost= 40*3= $120
Company B:
Total cost= 60 + 20*3= $120
I'LL MARK BRANLIST. A box contains 3 plain pencils and 3 pens. A second box contains 3 color pencils and 7 crayons. One item from each box is chosen at random. What is the probability that a plain pencil from the first box and a color pencil from the second box are selected? Write your answer as a fraction in simplest form.
Answer:
First Box: 3/6 --- 1/2
Second Box: 3/10
how to drawing a houses
hey guys I really need help and it also asks to give my answer as a decimal!
Answer:
(1,5) is your answer
Step-by-step explanation:
You would have to divide the
2 and 10 by 2 and you would get (1,5)
Hope that help!Have a GREAT day!!
And Brainiest is needed!
Factor the expression using the GCF (Greatest Common Factor)
12x + 36
Answer:
12 ( x+3)
Step-by-step explanation:
We can factor a 12 out of each term
12 *x + 12*3
12 ( x+3)
Which expression results in a sum or difference of five and six fifty fourths? (3 points) a eight and seven ninths minus three and four sixths b six and eight ninths minus one and five sixths c four and one sixths plus one and one ninth d three and three sixths plus two and four ninths
Answer:
a) eight and seven ninths minus three and four sixths
Step-by-step explanation:
The required result is [tex]5\frac{6}{54}[/tex]
a)
[tex]8\frac{7}{9} -3\frac{4}{6}\\\\=\frac{79}{9} -\frac{22}{6} \\\\Simplifying\ the\ expression:\\\\=\frac{474-198}{54} \\\\=\frac{276}{54}\\\\=5\frac{6}{54}[/tex]
b)
[tex]6\frac{8}{9} -1\frac{5}{6}\\\\=\frac{62}{9} -\frac{11}{6} \\\\Simplifying\ the\ expression:\\\\=\frac{372-99}{54} \\\\=\frac{273}{54}\\\\=5\frac{3}{54}[/tex]
c)
[tex]4\frac{1}{6} +1\frac{1}{9}\\\\=\frac{10}{9} +\frac{25}{6} \\\\Simplifying\ the\ expression:\\\\=\frac{60+225}{54} \\\\=\frac{285}{54}\\\\=5\frac{15 }{54}[/tex]
d)
[tex]3\frac{3}{6} +2\frac{4}{9}\\\\=\frac{22}{9} +\frac{21}{6} \\\\Simplifying\ the\ expression:\\\\=\frac{132+189}{54} \\\\=\frac{321}{54}\\\\=5\frac{51 }{54}[/tex]
Answer: A
Step-by-step explanation: I did the assesment
8. A restaurant bill before tax is $15.60. How much is a 15% tip for this bill?
Answer:
Step-by-step explanation:
the tip would be = 2.325 which rounds up to 2.33$ in total this would be17.83
Solve the equation
4n-9=2(5+2n)
Answer:
There is no values to make the equation true. Please check the equation.
Step-by-step explanation:
Answer:
19
Step-by-step explanation
Simplify 4a^2(a^3)/16b(b^2) edge
Answer: Above answer is correct
Step-by-step explanation:
At an electronic store, an air-conditioner marked $280 was on
sale at $259. What was the percentage of discount for the air-
conditioner?
986
Answer: maybe this will help
Step-by-step explanation:
Use the formula:
Discount = Marked Price – Selling Price
Percent Discount = Discount/Marked Price × 100%
Discount: 280 – 259 = 21
The marked price: 280
Khalid and Jesse took different overnight trains. The graph shows the relationship between the total distance Khalid traveled and the time in hours. The distance Jesse traveled after x hours is given by the equation y = 150x. Who, if anyone, traveled at a faster speed? Use the drop-down menus to explain your answer.
Khalid’s rate is ____ miles per hour. Jesse’s rate is ____ miles per hour. So, ____ train traveled at a faster speed.
Answer:
Khalid’s rate is 140 mi/h. Jesse’s rate is 150 miles per hour
So, Jesse’s train traveled at a faster speed
Step-by-step explanation:
Here, we want to compare speeds
For Jesse’s train, the speed is 150 mi/h
we got this from the fact that the equation of a straight line is represented as;
y = mx + b
where m which is the slope represents the rate of change
m here is 150
For Khalid’s;
we can get his own rate from the graph
This can be obtained using the slope
We can simply have this as ;
m = (y2-y1)/(x2-x1)
Let us have two points
(4,560) and (0,0)
Thus;
m = 560/4 = 140 mi/h
Hence;
Khalid’s rate is 140 mi/h. Jesse’s rate is 150 miles per hour
So, Jesse’s train traveled at a faster speed
How many different ways can you write a ratio?
Answer:
3 different ways
Step-by-step explanation:
Answer:
3 different ways
Step-by-step explanation:
hope this helps
example of the diffrent way to write a ratio :
5 to 10
5 : 10
[tex]\frac{5}{10}[/tex]
Cups are sold in packages of 8. Napkins are sold in packages of 12. What is the fewest number of packages of cups and the fewest number of packages of napkins that can be purchased so there will be the same number of cups as napkins? Hint**- What will you need to find GCF or LCM?
Answer:
24 packages
Step-by-step explanation:
Given
Represent Napkins with N and Cups with C
[tex]C = 8's[/tex]
[tex]N = 12's[/tex]
Required
Determine the smallest amount of N and C that will be equal
To do this, we simply calculate the LCM of N and C as follows:
List out the multiples of each..
[tex]C = 8,16,24,30....[/tex]
[tex]N = 12,24,36,48...[/tex]
The common multiple between both is 24.
Hence, 24 packages of N and C answers the question
The circumference of a circle is 30 centimeters. What is the approximate diameter of a circle
Answer:
the answer is: 9.55cm.
Answer:
10cm
Step-by-step explanation:
9.55 is the same thing , but rounded its 10
Suppose you want to go to the ice skating rink and it costs $8 to rent ice skates and $3.75 per hour to skate, write an equation that models this situation
Answer:
c=8+3.75x, where:
c is the cost to go to the ice skating ring
x is the number of hours
Step-by-step explanation:
From the information given, the cost to go to the ice skating ring is equal to the cost to rent ice skates plus the result of multiplying the cost to skate per hour for the number of hours and the equation would be:
c=8+3.75x, where:
c is the cost to go to the ice skating ring
x is the number of hours