Answer:
5 : 1
Step-by-step explanation:
Unit conversion (between cm and mm) : 1 cm = 10 mm
⇒ 4 cm : 8 mm
⇒ 4 x 10 mm : 8 mm
⇒ 40 mm : 8 mm
⇒ 5 : 1
Lea and adam are selling cheesecakes for a school fundraiser. customers can by new york cheesecakes and chocolate marble cheesecakes. lea sold 14 new york cheesecakes and 11 chocolate marble cheesecakes for a total of $293. adam sold 7 new york cheesecakes and 2 chocolate marble cheesecakes for a total of $80. what was the cost for one chocolate marble cheesecake?
Answer: $19
Step-by-step explanation:
We will set up equations to solve and pull the information we need from the given passage. Let x be new york cheesecakes and y be chocolate marble.
Lea sold 14 new york and 11 chocolate marble. She made $293 total.
14x + 11y = 293
Adam sold 7 new york and 2 chocolate marble for $80 total.
7x + 2y = 80
Now I will graph the two equations. The y-coordinate in the point of intersection is the solution is the answer to your question.
(6, 19)
$19
The cost for one chocolate marble cheesecake is $19.
Drag the tiles to the correct boxes to complete the pairs.
Match each equation with its solution. Log(x-1)+log5x=2
Answer:
see attached
Step-by-step explanation:
We prefer to solve these by rewriting the equations to the form f(x) = 0, then having a graphing calculator show us the x-intercepts of f(x). This is illustrated in the second attachment.
__
The applicable rules of logarithms are ...
log(a) +log(b) = log(ab) . . . for logs of any baselog(a) = b ⇔ 10^b = aln(e^a) = alog(a) = log(b) ⇔ a = b . . . . for a > 0 and b > 0We can apply these rules to the given expressions to solve for x algebraically.
__
log(x-1) ...Taking antilogs, we have ...
(x -1)(5x) = 10^2 = 100
x(x -1) = 20 . . . . . . . . . . . divide by 5
x² -x -20 = 0 . . . . subtract 20, put in standard form
(x -5)(x +4) = 0 . . . . factor
x = 5 or x = -4 . . . . . . the latter is an extraneous solution
x = 5 only
__
ln(x +5) ...Taking antilogs, we have ...
x +5 = (x +1)(x -1)
x² -x -6 = 0 . . . . . . . subtract (x+5), write in standard form
(x -3)(x +2) = 0 . . . . factor
x = 3 or x = -2 . . . . . . the latter is an extraneous solution
x = 3 only
__
e^x² ...Taking natural logarithms, we have ...
x² = 4x +5
x² -4x -5 = 0 . . . . . write in standard form
(x -5)(x +1) = 0 . . . . factor
x = 5 or x = -1 . . . . values that make the factors zero
__
log₄(5x² ...Taking antilogs, we have ...
5x² +2 = x +8
5x² -x -6 = 0 . . . . . write in standard form
(5x -6)(x +1) = 0 . . . . factor
x = 6/5 or x = -1 . . . . values that make the factors zero
_____
Additional comment
A solution is extraneous when it does not satisfy the original equation. Here, solutions are extraneous because they make the argument of the log function be negative in the original equation. The log function is not defined for negative arguments. (Actually, it gives complex values for negative arguments.)
We could have gone to the trouble to determine the applicable domain of each of the log equations. It is easier to (a) use a graphing calculator, or (b) test the solutions found.
Consider the diagram.
2 triangles are connected at their hypotenuse to form a rectangle. The rectangle has a length of 7 meters and width of 6 meters.
Mia plans to build a fence to divide her rectangular garden into two triangular areas. Use the diagram to find the length of fence she will need to divide the garden. Round up to the nearest hundredth.
Mia will need a fence that is
meters long.
The length of fence she will need to divide the garden is 9.22 m.
What is a Rectangle?A Rectangle is a quadrilateral having four sides and four right angles in which both sides are parallel and opposite to each other.
Pythagoras TheoremThe Pythagorean Theorem states that the sum of the squared sides of a right triangle equals the length of the hypotenuse squared.
Let us consider the length of the fence be 'x'
Using Pythagoras Theorem,
x² = 6² + 7²
[tex]x^{2} =36+49\\x^{2} = 85[/tex]
x = 9.22 m
So, the length of fence is 9.22 m.
Learn more about rectangle here:
brainly.com/question/2687959
#SPJ1
Answer:
9.22
Step-by-step explanation:
edge
What is the distance between the two points?
(a) A farmer has x apple trees which produce 25 kg of apples per tree. Write an expression,b
in terms of x, for the total mass of apples produced.
(b) He uses 800 ml of fertiliser for each tree. The fertiliser is sold in 5-litre containers.
Write down an expression, in terms of x, for the number of containers of fertiliser
required, given that there is no left-over.
(c) Each container costs $90. If the total cost of the fertiliser is $648,
(i) form an equation in x.
(ii) Solve this equation to find the number of apple trees
Answer:
the number of apple trees = 45
Step-by-step explanation:
a) the total mass of apples produced = 25x
b) the number of containers of fertilizer required :
[tex]=\frac{0.8x}{5} \\= 0.16x[/tex]
c)
(i) the equation :
648 = 90 × (0.16x)
⇔ 648 = 14.4x
(ii) solving :
648 = 14.4x
⇔ x = 648 ÷ 14.4
= 45
Write 149,597,870,700 in scientific notation with 3 significant figures
Answer:
1.50 x 10^11.
Step-by-step explanation:
There 11 digits after the 1 so it is:
1.50 x 10^11.
(1495 to 3 s. f. is 150)
6=3n/5
thats the equation and i need to find out what n is
Answer:
n=10
Step-by-step explanation:
6=3n/5
multiply both sides by 5
30=3n
divide both sides 3
10=n
the cost of 3 7/9m cloth is rs 212 4/5.find the cost of
7 2/3m cloth.
Answer:
[tex]\sf Rs. \ 431\dfrac{73}{85} \quad or \quad Rs. \ 431.86[/tex]
Find the unit rate:
[tex]\rightarrow \sf 3\dfrac{7}{9} m = Rs. \ 212\dfrac{4}{5}[/tex]
[tex]\rightarrow \sf 1 m = Rs. \ \dfrac{212\dfrac{4}{5}}{3\dfrac{7}{9} }[/tex]
[tex]\rightarrow \sf 1 m = Rs. \ \dfrac{4788}{85} \quad or \quad Rs. \ 56\dfrac{28}{85}[/tex]
Then find the cost of 7 2/3m cloth:
[tex]\rightarrow \sf 7\dfrac{2}{3} \ m = Rs. \ \dfrac{4788}{85} \ * \ 7\dfrac{2}{3}[/tex]
[tex]\rightarrow \sf 7\dfrac{2}{3} \ m = Rs. \ \dfrac{36708}{85}[/tex]
[tex]\rightarrow \sf 7 \dfrac{2}{3} \ m = Rs. \ 431\dfrac{73}{85} \quad or \quad Rs. \ 431.86[/tex]
bag contains eight red marbles and
seven blue marbles. You randomly pick a
marble and then pick a second marble
without returning the marbles to the bag.
The first marble is red and the second
marble is blue.
The probability of getting first marble is red and the second
marble is blue is 4/15.
What is probability?
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes.
Given that:
Number of red marbles= 8
Number of blue marbles= 7
Total Number of marbles= 8+7 = 15 marbles.
P(red Marble) =[tex]\frac{8}{15}[/tex]
No replacement, now the total marbles = 14
P( blue marbles) = 7/14
Now, P( first marble is red and the second marble is blue.)
= 8/15*7/14
= 4/15
Hence, the probability of getting first marble is red and the second
marble is blue is 4/15.
Learn more about probability here:
brainly.com/question/21547529
#SPJ1
plspls help i will give u brainliest!!!! answer questions correctly please.
17-(-5)=
(-12)+(-6)=
8(-5)=
-72 divided by (-9)=
1/9+3/8
-2 1/2+(-5 3/4)
3 2/3-1 5/6
-4/5-2/3
-3 1/4 x 2 2/3
-5/9 x -2/9
1 7/8 divided by 3
-1/3 divided by 7/8
you will get brainliest please give right answers i need a good grade in this!!
i only have 11 points im sorry
but you will get the best rating and brainliest
A company charges 5% shipping fee. What are the shipping charges for an item that costs $1,200? Need help ASAP please.
Answer:
shippng charge = 60 dollars
Step-by-step explanation:
5% is .05 in decimal form
.05 x 1200 = 60 dollars
6) three fourth of cars in a showroom are land rover , one half of land rover are black. what fraction of land rover are black?
Answer:
3/8
Step-by-step explanation:
(3/4)/2=3/8
Plot the quadrilateral abcd under a reflection across the y axis
Answer:
the answer is down below
Step-by-step explanation:
An isosceles triangle has an angle that measures 52°. What measures are possible for the other two angles?
100 and 28 (a lot of others)
Step-by-step explanation:
Since the inside angles of a triangle equals 180 we can just do 180-52 which is 128 after that you can make any pair you want :)
I need help! It is for a task.
[tex]\text{Given that,}~ q =-4~ \text{and}~ g =1\\\\~~~~~\dfrac{6q}{4}(6g) -q\\\\\\=\dfrac{6(-4)}{4}(6\cdot 1) - (-4)\\\\\\=-6\cdot 6 +4\\\\\\=-36 +4 \\\\\\=-32[/tex]
Step-by-step explanation:
6q/4 (6g) - q
6(-4)/ 4 [6(1)] - (-4)
-24/4 (6) + 4
-6(6) + 4
-36 + 4
-32
50 points --- will give brainliest
Answer:
Add the fractions together on the right side of the equation.
Step-by-step explanation:
Notice that two fractions on the right side of the equation in the previous step have the same denominator. If two fractions have the same denominator, we can simply add the numerators together and place that over the common denominator.
[tex]\implies \sf-\dfrac{4ac}{4a^2}+\dfrac{b^2}{4a^2}=\dfrac{-4ac+b^2}{4a^2}[/tex]
Finally, change the order of the terms in the numerator so that [tex]\sf b^2[/tex] is first:
[tex]\implies \sf-\dfrac{4ac}{4a^2}+\dfrac{b^2}{4a^2}=\dfrac{-4ac+b^2}{4a^2}=\dfrac{b^2-4ac}{4a^2}[/tex]
Therefore, the solution is:
Add the fractions together on the right side of the equation
4w<32
Help about to fail my math class lol
Find an equation equivalent to 2x 3y = 6 in polar coordinates.
Which 3-D object is a polyhedron?
A. sphere
B. cube
C. cone
Answer:
The answer is A.
Step-by-step explanation:
A polyhedron is a three-dimensional solid made up of polygons. It has flat faces, straight edges, and vertices. For example, a cube, prism, or pyramid are polyhedrons.
What is the exact area of a circle having diameter 3 in.?
Answer:
7.065 in^2
Step-by-step explanation:
Answer:
7.06858...in²
if we are using 3.14
7.065in²
Step-by-step explanation:
3 / 2 = 1.5
A = πr²
A = π(1.5²)
A = π(2.25)
A = 7.068in²
(if we are using 3.14 for pi)
A = πr²
A = 3.14(1.5²)
A = 3.14(2.25)
A = 7.065in²
Which of the three following graphs display the same data? i. a bar graph titled county voter turnout (thousands) has year on the x-axis and number on the y-axis. 1992, 99; 1996, 107; 2000, 103; 2004, 97; 2008, 98. ii. a line graph titled county voter turnout (thousands) has year on the x-axis and number on the y-axis. 1992, 99; 1996, 107; 2000, 103; 2004, 97; 2008, 98. iii. a circle graph titled county voter turnout (thousands). cuyahoga county, 99; maricopa county, 107; fort bend county, 103; susquehanna county, 97; clark county, 98. a. i and ii b. i and iii c. ii and iii d. i, ii, and iii
The graphs that display the same data are a. I and II
What is Data Representation?This refers to the different ways in which a set of data are displayed in a certain place such as a bar graph, frequency table, line graph, etc.
Hence, we can see that from the evaluation of the data, there is the use of the same data in I and II as the bar and line graphs contain the same country voter turnout.
Read more about bar graphs here:
https://brainly.com/question/25718527
#SPJ4
Answer:
a
Step-by-step explanation:
help i dont know the answer like seriously omg omg
The gcf is 6
so: 42+12= 6(7+2)
Answer:
see explanation
Step-by-step explanation:
the factors of 42 are 1, 2, 3, 6, 7, 14 , 21, 42
the factors of 12 are 1, 2, 3, 4, 6, 12
common factors are 1, 2, 3, 6
GCF = 12
then
42 + 12 ← factor out 6 from each term
= 6(7 + 2)
Isaac started an iphone screen replacement business. he charges $15 for each screen his shop replaces. isaac currently employs 4 workers and the shop replaces 43 screens per day. business is good, so he is considering hiring another worker. if he did, the total number of screens his shop can replace each day would be 49. what is the value of the marginal product of labor for the 5th worker? $ ____
Isaac started an iPhone screen replacement business. he charges $15 for each screen his shop replaces, the value of the marginal product of labor for the 5th worker is mathematically given as
M=$90
What is the value of the marginal product of labor for the 5th worker?Generally, It is the change in value or production that occurs when a new worker is hired.
Therefore, the value of the output from hiring 4 & 5workers
V4= $ 15* 43
V4= $ 645
and V8
V5=$ 15 * 49
V5 = $ 735
In conclusion, the marginal product
M= $ 750 - $ 645
M=$90
Read more about marginal
https://brainly.com/question/7781429
#SPJ1
what is this? please help
Answer:
50
Step-by-step explanation:
to find the mean you have to add all the number up together. then divide that number by how many numbers it is in all:
48+50+5+60+37+50=300
divide 300 by 6= 50
Answer: it is the first choice which is 50 .
Step-by-step explanation: to find the mean it means you have to find the average total so you will have to add them together and divide by 6 as they are 6 numbers . When you add them the answer is 300 , divide by 6 the answer is 50 .
SEE THE PICTURE ATTACHED
HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST . THANKS .
14.
If we flip a coin eight times, how many possible sequences of eight coin faces (i.e., heads or tails) can we have?
1,024
512
256
2,048
Using the Fundamental Counting Theorem, the number of possible sequences of eight coin faces is of 256.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem, there are 8 events, each with 2 possible outcomes, hence:
[tex]n_1 = n_2 = \cdots = n_8 = 2[/tex]
Hence, the total number of sequences is given by:
[tex]N = 2^8 = 256[/tex].
More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866
#SPJ1
Answer:
C) 256
Step-by-step explanation:
Essentially, each coin flip is a decision, and heads or tails is the choice offered. Therefore, we calculate that there are 28 possible sequences, or 256.
Took the quiz ;)
Type the correct answer, PLS HELP ASAP, I AM GIVING BRAINLIEST FOR THE CORRECT ANSWER!!!!
Answer:
x = 3
Step-by-step explanation:
3^3 = 4(3) + 15 = 27
If sin = 2/5, what is csc ? (Answer must be in fraction form)
Answer:
csc x = [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
using the identity
csc x = [tex]\frac{1}{sinx}[/tex]
then
csc x = [tex]\frac{1}{\frac{2}{5} }[/tex] = [tex]\frac{5}{2}[/tex]
due to a leakage 30% of the water was lost from a water tank if only 340 litres of the water is left in the tank now find out the total capacity of the water tank
Answer:
1133.3 liters of water after leakage.
Step-by-step explanation:
x*.30=340
x=340/.30
x=1133.33
I need help with this problem
Answer:
n=-6
Step-by-step explanation:
You would first multiply by 3 because you are trying to get n by itself?
then you will get the equation n-6=-12 then you will add six cause again you want n by itself and you get n=-6 because -12 plus 6 is -6
If six pounds of pinto beans, priced at $2.00 per pound, are combined with four pounds of lima beans, priced at $3.00 per pound, what is the per-pound price of the resulting bean mix
The per-pound price of the mix must be: P = $2.40 per lb.
What is the per-pound price of the resulting bean mix?
To get it, we need to take the total amount of money used in the mix, and divide it by the mass of the mixture that we get.
We will use 6lb of pinto beans, where each lb costs $2.00, so the total cost of this part is:
6*$2.00 = $12.00
We also use 4 lb of lima beans, where each pound costs $3.00, so the total cost of this part is:
4*$3.00 = $12.00
Then the total cost of the mix is $12.00 + $12.00 = $24.00
And the the mix has a total mass of 6lb + 4lb = 10lb
Then the per-pound price of the mix must be:
P = $24.00/10lb = $2.40 per lb.
If you want to learn more about prices:
https://brainly.com/question/1153322
#SPJ2