Answer:
34.09269
Step-by-step explanation:
Step 1: write the numbers from the questions and put them as if they are whole numbers in order of decimal places, fro example 4321 *789Step 2: multiply the number 4321 by each of the numbers in 789Step 3: the answer you get from the calculation write it were it's decimal places is equal to the decimals we had in the question.....For example: we have the numbers 4.321 multiplying 7.89, so their total of decimal places is five, so the answer will get will have five decimal places Step 4: the calculated answer is 3409269, so the correct answer will we written to five decimal places which is 34.09269Mario works at a snack bar near the beach for 2 hours each Saturday. one Saturday, he started with 30 bottles of juice and sold 3/15 of the juice in the first hour. when he finished work, he had 6/15 of the juice left. what fraction did he sell in the second hour.
Answer:
12 bottles were sold in the second hour.
Step-by-step explanation:
This problem can be solved by implementing an equation in one variable.
The equation will utilize the given values including total bottles of juice, the amount of juice sold in the first hour and amount of juice remaining at the end.
The equation will also consist of the value to be found out, the amount of juice sold in the second hour.
The value to be found out is substituted by a variable.
The equation is then solved by transfer of values and/or variable on the opposite side of the equal sign.
When a value/ variable is transferred on the opposite side of the equal sign, the sign of the value/ variable becomes the opposite.
The negative sign becomes positive and multiplication becomes division, and vice-versa.
1. In the first hour, \frac{3}{15} of all the juice was sold.
\frac{3}{15} of 30 is calculated as
\frac{3}{15} x 30 = 6
6 bottles are sold in the first hour.
2. At the beginning of the second hour, the amount of juice remaining is assumed to be a.
3. As per the question, at the end of second hour, the remaining juice is \frac{6}{15}.
\frac{6}{15} of 30 is calculated as
\frac{6}{15} x 30 = 12
12 bottles are remaining at the end of the second hour.
4. Alternatively, at the end of second hour, 30 - 6 - a of the juice is remaining.
We get, 24 - a bottles are remaining at the end of the second hour.
We equate the above expression with 12, we get the following equation.
24 - a = 12
Next, we transfer a from left side to the right side of the equation.
24 = 12 + a
Next, we transfer 12 from right side to the left side of the equation.
24 - 12 = a
=> 12 = a
OR
a = 12
Hence, 12 bottles were sold in the second hour.
Mario sold 2/5 of his juice in the second hour after having sold 3/15 in the first hour and ending with 6/15 of the juice left.
Mario started with 30 bottles of juice and sold 3/15 of them in the first hour. To find out how many bottles that is, we multiply the total number of bottles by the fraction sold: 30 bottles x 3/15 = 6 bottles. After the first hour, Mario had 30 bottles - 6 bottles = 24 bottles left.
By the end of his shift, Mario had 6/15 of his original juice left. Again, we multiply the total number of bottles by the fraction left: 30 bottles x 6/15 = 12 bottles. So, at the end of his shift, Mario had 12 bottles unsold.
To find out how many bottles were sold in the second hour, we subtract the number left at the end from the number left after the first hour: 24 bottles - 12 bottles = 12 bottles sold in the second hour. To express this amount as a fraction of the original 30 bottles, we divide 12 by 30 to get 12/30, which simplifies to 2/5. Thus, Mario sold 2/5 of his juice in the second hour.
If mBAD = 120° and m CAD = 80°, find mBAC.
Answer:
the right answer is option A. 40°
Step-by-step explanation:
angle BAC= angle BAD - angle CAD
= 120° - 80°
= 40°
Does anyone know how to do this?
Anika receives $0.11 in royalties each time her new song is played on the radio, and $0.38 in royalties for each digital download from a website. During January, her song was played an average of 150 times per day and downloaded a total of 3100 times. Approximately how much did Anika receive in royalties? Note that January has 31 days.
$1200
$2050
$1690
$400
Answer:1690
Explanation:
0.11x150=16.50
16.50x31=511.50
0.38x3100=1178.0(this is all we do for the downloads since it says 'downloaded a total of 3100 times')
1178+511.5=1689.5 then u round it up because of the 9 and you get 1690
Im kinda bad at explaining but hope this helps
To find the average(mean) of a set of numbers, you first find the sum of the numbers and then divide the sum by the number of numbers. What is the average of the numbers ?
Answer:
what are the numbers you wsnt to find? if you don't know then you've answeref your own question with this, well, question..!
The following circle graph shows how Brad spends his time (excluding sleeping) each week outside of school. Which of the following statements is true about how Brad spends his time?
A.Brad spends more time working than he does on homework.
B.Brad spends about the same amount of time watching videos and reading combined as he does playing the piano and soccer combined.
C.Brad spends about the same amount of time doing homework as he does watching videos.
D.Brad spends about the same amount of time playing piano as he does playing football and soccer combined.
Brad spends about the same amount of time doing homework as he does watching videos. The other statements are not true.
Explanation:The circle graph shows how Brad spends his time outside of school. To determine which statements are true, we need to compare the different activities.
A. To compare working and homework, we can see that Brad spends about ⅔ of his time working and ⅓ of his time on homework. So, A is not true since Brad spends more time on homework than working.
B. To compare watching videos and reading with playing the piano and soccer, we can see that Brad spends about 1/6 of his time on watching videos and reading, and about 3/6 of his time on playing the piano and soccer. So, B is not true since Brad spends more time playing the piano and soccer than watching videos and reading combined.
C. To compare doing homework and watching videos, we can see that Brad spends about ⅓ of his time on both activities. So, C is true since Brad spends about the same amount of time doing homework as he does watching videos.
D. To compare playing piano with playing football and soccer combined, we can see that Brad spends about 1/6 of his time on playing piano, and about 4/6 of his time on playing football and soccer combined. So, D is not true since Brad spends more time playing football and soccer combined than playing piano.
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a system of linear equations is graphed. which ordered pair is the best estimate for the solution to the system?
a) (1/3,1)
b) (1/2,0)
c) (1,1)
d) (1/3,0)
Answer:
The answer that gives the best estimate is (1,1)
Step-by-step explanation:
i) As can be seen on of the lines intercepts the y axis at (0,-1). So the y
intercept or [tex]c_{1}[/tex] = -1. Therefore the equation for this line can be written as
y = [tex]m_{1}[/tex] x + [tex]c_{1}[/tex] ⇒ y = [tex]m_{1}[/tex] x - 1 . It can also be seen from this graph that the
line passes through the point (2 , 2). Substituting these values for x and y
respectively we get 2 = 2[tex]m_{1}[/tex] - 1 ∴ [tex]m_{1}[/tex] = [tex]\frac{3}{2}[/tex]. The equation of the first line
can be written as y = [tex]\frac{3}{2}[/tex] x - 1 ⇒ 2y - 3x = -2
ii) As can be seen on the other line the intercept on the y axis is at (0,2). So
the y intercept or [tex]c_{2}[/tex] = 2. Therefore the equation for this line can be
written as y = [tex]m_{2}[/tex]x + [tex]c_{2}[/tex] ⇒ y = [tex]m_{2}[/tex] x + 2 . It can also be seen from this
graph that the line passes through the point (1 , -1). Substituting these
values for x and y respectively we get 1 = 1[tex]m_{2}[/tex] + 2 ∴ [tex]m_{2}[/tex] = -1 . The
equation of the second line can be written as y = - x + 2 or x + y = 2
iii) Solving the two equations of the two lines respectively as found in i) and
ii) we get y = 0.8. We multiply equation in ii) by 3 to get 3x + 3y = 6 and
when we add this to equation in i) we get 5y = 4 which means that y = 0.8.
If we substitute this value in ii) we get 0.8 + x = 2 , therefore x = 1.2.
iv) Therefore we get the solution of the two lines, which is the intersection
of the two lines as (1.2, 0.8). So the answer that gives the best estimate
is (1,1)
Answer:
Correct answer is: B: (1/2, 0)
Step-by-step explanation:
Just took the test and that is the correct answer. Picture w/ correct answer attached.
3) x2+ y2 - x + 3y - 42 = 0
X+y=4
The solution is [tex](-1,5)[/tex] and [tex](7,-3)[/tex]
Step-by-step explanation:
The expression is [tex]x^{2} +y^{2} -x+3y-42=0[/tex] and [tex]x+y=4[/tex]
Using substitution method we can solve the expression.
Let us substitute [tex]x=4-y[/tex] in [tex]x^{2} +y^{2} -x+3y-42=0[/tex]
[tex](4-y)^{2} +y^{2} -(4-y)+3y-42=0[/tex]
Expanding and simplifying the expression, we get,
[tex]\begin{array}{r}{16-8 y+y^{2}+y^{2}-4+y+3 y-42=0} \\{2 y^{2}-4 y-30=0}\end{array}[/tex]
Let us use the quadratic equation formula to solve this equation,
[tex]\begin{aligned}y &=\frac{4 \pm \sqrt{16-4(2)(-30)}}{2(2)} \\&=\frac{4 \pm \sqrt{16+240}}{4} \\&=\frac{4 \pm 16}{4} \\y &=1 \pm 4\end{aligned}[/tex]
Thus, [tex]y=5[/tex] and [tex]y=-3[/tex]
Substituting y-values in the equation [tex]x+y=4[/tex], we get the value of x.
For [tex]y=5[/tex] ⇒ [tex]x=4-5=-1[/tex]
For [tex]y=-3[/tex] ⇒ [tex]x=4+3=7[/tex]
Thus, the solution set is [tex](-1,5)[/tex] and [tex](7,-3)[/tex]
anna can type 123 words in 3 minutes. Caroline can type 220 words in 5 minutes . Who can type fastest
Answer:
Caroline
Step-by-step explanation:
Anna : 123 words in 3 minutes ....123/3 = 41 words per minute
Caroline : 220 words in 5 minutes...220/5 = 44 words per minute
Caroline is the faster typist <===
What is 39.95 as a mixed number
Answer:
39 and 19/20
Step-by-step explanation:
Answer
39 19/20
Step-by-step explanation
39.95/1 x 100/100 = 3995/100
Find the HCF (Highest Common Facror) (if there is)
divide the top and bottom nuber by 5 = 799/20
799/20 simplified = 39 19/20
i hope this helps :)
please give me brainliest i just need 3 more until expert!
Evaluate the expression when c=5 and x=-4.
4c-x ALEKS PLEAHSE HELP
To evaluate the expression 4c - x with c=5 and x=-4, substitute the values to get 4*5 - (-4), which simplifies to 20 + 4, resulting in a value of 24.
Explanation:To evaluate the expression 4c-x when c=5 and x=-4, substitute the given values for the variables c and x into the expression.
Step 1: Substitute c = 5 into the expression.
4 × 5 - x
Step 2: Substitute x = -4 into the expression.
4 × 5 - (-4)
Step 3: Carry out the multiplications and additions.
20 - (-4) = 20 + 4
Step 4: Add the numbers.
20 + 4 = 24
Therefore, when c = 5 and x = -4, the value of the expression 4c - x is 24.
The value of the expression 4c-x when c=5 and x=-4 is 24.
To evaluate the expression (4c - x) when (c = 5) and (x = -4), follow these steps:
1. Substitute (c = 5) into the expression: [tex]\(4 \times 5 - x\)[/tex]
2. Substitute (x = -4) into the expression: [tex]\(4 \times 5 - (-4)\)[/tex]
3. Simplify the multiplication: (20 - (-4))
4. Simplify further by changing the double negative to addition: (20 + 4).
5. Add the numbers: (20 + 4 = 24).
Therefore, when (c = 5) and (x = -4), the value of the expression (4c - x) is (24). The process involves substituting values, simplifying, and performing addition to obtain the final result.
11. Which expression results in a rational number?
Given:
L = V2
M= 3V3
N = V16
P=19
A. L +M
B. M+N
C. N + P
D. P +L
Answer:
C
Step-by-step explanation:
N = V16 = 4
P=19
so N + P
Triangle A B C is shown. The length of A B is 12, the length of B C is 24, and the length of C A is 12 StartRoot 3 EndRoot What are the angle measures of triangle ABC? m∠A = 30°, m∠B = 60°, m∠C = 90° m∠A = 90°, m∠B = 60°, m∠C = 30° m∠A = 60°, m∠B = 90°, m∠C = 30° m∠A = 90°, m∠B = 30°, m∠C = 60°
Answer:
m∠A = 90°, m∠B = 60°, m∠C = 30°
Step-by-step explanation:
step 1
see the attached figure to better understand the problem
In this problem we have a right triangle, because the Pythagorean Theorem is satisfied
so
[tex]BC^2=AB^2+AC^2[/tex]
[tex]24^2=12^2+(12\sqrt{3}) ^2\\\\576=576[/tex]
therefore
[tex]m\angle A=90^o[/tex]
step 2
Find the measure of angle B
we know that
In the right triangle ABC
[tex]cos(B)=\frac{AB}{BC}[/tex] ----> by CAH (adjacent side divided by the hypotenuse)
substitute the given values
[tex]cos(B)=\frac{12}{24}[/tex]
[tex]m\angle B=cos^{-1}(\frac{12}{24})=60^o[/tex]
step 3
Find the measure of angle C
we know that
[tex]m\angle B+m\angle C=90^o[/tex] ----> by complementary angles
we have
[tex]m\angle B=60^o[/tex]
substitute
[tex]60^o+m\angle C=90^o\\m\angle C=30^o[/tex]
therefore
m∠A = 90°, m∠B = 60°, m∠C = 30°
Answer:
c
Step-by-step explanation:
m∠A = 90°, m∠B = 60°, m∠C = 30°
ON EDG 20
Answer:
c
Step-by-step explanation:
m∠A = 90°, m∠B = 60°, m∠C = 30°
ON EDG 20
Edward wants to spend less than $115 to buy a
new shirt and some jeans. If a shirt costs $25,
choose an inequality to find the amount that
Edward can spend on a pair of jeans if he buys 3
pairs of jeans.
Answer: x < 30
Step-by-step explanation:
Let the cost of a jean be x
cost of a shirt = $25
cost of 3 jeans = 3x
since he wants to spend less than $115 , this means that
3x + 25 < 115
3x < 115 - 25
3x < 90
x < 30
5/8 of a gallon of paint covers 14/5 of a wall find the unit rate
Answer:25/112
Step-by-step explanation:multiply 5/8 times 5/14.
Lines b and c are parallel. Horizontal and parallel lines b and c are cut by transversal a. Where line b intersects line a, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 1, 2, (18 x + 4) degrees, (7 x + 1) degrees. Where line c intersects line a, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 5, 6, 8, 7. What is the measure of Angle2? mAngle2 = 31° mAngle2 = 50° mAngle2 = 120° mAngle2 = 130°
Answer:
mAngle2 = 50°
Step-by-step explanation:
A relative schematic has been attached bellow describing the problem.
In this case, we will be working with Supplementary angles. The latter denote angles which when summed together equal to 180°.
From the schematic we can identify the following Supplementary pairs as:
∠1 and ∠2
∠2 and ∠(18x+4)
∠(18x+4) and ∠(7x+1)
∠(7x+1) and ∠1
So lets start by finding the value of [tex]x[/tex] as follow. Since we know the supplementary pairs we have that
[tex](18x+4)+(7x+1)=180\\18x+7x+4+1=180\\25x+5=180\\25x=180-5\\25x=175\\x=\frac{175}{25} \\x=7[/tex]
Now we similarly know that ∠2 and ∠(18x+4) are supplementary. So lets replace the value of [tex]x[/tex] in ∠[tex]18x+4[/tex], we have
[tex]18(x=7)+4=126+4=130[/tex]
So finally we have
[tex]<2 + 130=180\\<2=180-130\\<2=50[/tex]
Thus we can say that ∠2 = 50° (which matches the second options from the available ones).
Answer:
50
Step-by-step explanation:
What conclusion can you make about the result of adding a rational and an irrational number?
Answer:
It is irrational
Step-by-step explanation:
if you combine a rational and irrational number it cannot be rational.
Adding a rational and an irrational number always results in an irrational number. The rational number doesn't affect the irrationality of the irrational number.
Explanation:The result of adding a rational and an irrational number is always an irrational number. For example, if you add the rational number 2 (which can be expressed as a ratio of two integers) and the irrational number sqrt(2) (which cannot be expressed as a ratio of two integers).
The result is 2 + sqrt(2), which is an irrational number.
Because the rational number doesn't affect the irrationality of the irrational number, the sum remains irrational.
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What is the solution
3x-2y=14
5x+y=32
Answer:
solution is (6,2)
Step-by-step explanation:
3x - 2y = 14
5x + y = 32....multiply by 2
------------
3x - 2y = 14
10x + 2y = 64 (result of multiplying by 2)
------------add
13x = 78
x 78/13
x = 6
5x + y = 32
5(6) + y = 32
30 + y = 32
y = 32 - 30
y = 2
Solve the system of linear equations by substitution 2x=12 x-5y=-29
Answer:
Step-by-step explanation:
2x = 12
x = 12/2
x = 6
And
x - 5y = -29
6 = - 5y = - 29
-5y = -29 - 6
-5y = -35
y = -35/-5
y = 7
The solution to the system of equation is (6, 7)
Given the system of equation
2x = 12 and
x - 5y = -29
From equation 1;
2x = 12
x = 6
Substitute x = 6 into equation 2:
x - 5y = -29
6 - 5y = -29
-5y = -29 - 6
-5y = -35
y = 7
Hence the solution to the system of equation is (6, 7)
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How long will it take to travel 200km traveling 10 m/s
Answer:
time = distance / speed
time = 200/10
= 20
Step-by-step explanation:
The time taken to travel a distance of 200 Km will be 5.5 hours.
What is speed?Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.
Given that the speed is 10 m/s and the distance to be travelled is 200 km.
The time will be calculated as below,
T = Distance / Speed
T = 200000/ 10
T = 200000/10 x 3600
T = 5.5 hours
Therefore, the time taken to travel a distance of 200 Km will be 5.5 hours.
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Trey is taking out a loan for $85000. It is a 20-year loan with an APR of 5.85% what will his monthly payment be?
Answer:
$768.54 (Approximate)
Step-by-step explanation:
Trey is taking out a loan for $85000. It is a 20-year loan with an APR of 5.85%.
Therefore, if we consider the interest rate is simple interest, then using the simple interest formula, the sum will become after 20 years
[tex]85000(1 + \frac{5.85 \times 20}{100}) = 184450[/tex] dollars.
Therefore, the monthly payment for the loan will be [tex]\frac{184450}{20 \times 12} = 768.54[/tex] dollars. (Answer)
The mathematical equation for 900 times 2.
Answer:
900 × 2 ?
Step-by-step explanation:
900 × 2 ? i dont know but i hope its correct?
Bartering was an early way that people _____.
1.exchanged currency in the form of paper or metal
2.exchanged a good or service directly for a good or service
3.talked to each other
4.shared financial information over long distances
Answer:
#2
Step-by-step explanation:
N/A
Bartering was an early way that people exchanged a good or service directly for a good or service. (option 2)
Bartering, the act of exchanging goods or services directly for other goods or services, was an early way that people engaged in trade and commerce.
Before the advent of standardized currency in the form of paper or metal, societies relied on bartering as a means of acquiring what they needed.
In a barter system, individuals would negotiate the exchange of items they possessed, often based on their mutual needs and values.
Hence the correct option is (2).
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16+13p-9p write an equivalent expression by combining like terms
mary bought 12 puonds of blueberries to make 5 pies. She divided the blueberries evenly. How many pounds of blueberries were in each pie?
Answer:
2.4 pounds of blueberries for each pie
Step-by-step explanation:
Mary has 12 pounds of blueberries to make 5 pies.
Divide 12 by 5 to see how much pounds of blueberries each pie will have.
There are 2.4 pounds of blueberries for each pie.
The number of pounds of blueberries were in each pie is 2.4
Given that,
mary bought 12 pounds of blueberries to make 5 pies.Based on the above information, the calculation is as follows:
[tex]= 12 \div 5[/tex]
= 2.4
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simplify: m + 15 + m + 15 + m - 30 + 2m + 2m - 20
How do I factorize a quadratic expression ?
Answer:
Please check below the step-by-step explanation.
Step-by-step explanation:
Considering the quadratic expression
[tex]ax^2+bx\:+\:c\:=0[/tex]
[tex]a,\:b,\:and\:c\:can\:have\:any\:value,\:except\:that\:a\:can't\:be\:0.[/tex]
[tex]To\:Factorise\:a\:Quadratic\:is\:to:[/tex]
" [tex]find\:what\:to\:multiply\:to\:get\:the\:Quadratic[/tex] "
For example, multiplying [tex](x + 3)[/tex] and [tex](x - 2)[/tex] together will bring [tex]x^2+x-6[/tex]
i.e.
[tex]\left(x+3\right)\left(x-2\right) = xx+x\left(-2\right)+3x+3\left(-2\right)[/tex]
[tex]\mathrm{Apply\:minus-plus\:rules}[/tex]
[tex]+\left(-a\right)=-a[/tex]
[tex]\left(x+3\right)\left(x-2\right) = xx-2x+3x-3\cdot \:2[/tex]
[tex]= x^2+x-6[/tex]
Therefore, [tex](x + 3)[/tex] and [tex](x - 2)[/tex] are factors of [tex]x^2+x-6[/tex]
Keywords: factorize, quadratic expression
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If I walk 21 miles at a steady rate of 3 miles per hour can my relationship be represented with a slope of -3
Answer:
The slope of given relationship is 7 and it is not - 3
Step-by-step explanation:
Given as :
The distance cover while walking = d = 21 miles
The speed rate of walking = s = 3 miles per hour
Let The time taken to cover 21 miles = t hours
Now, According to question
∵ Distance = Speed × Time
So, Time = [tex]\dfrac{\textrm Distance}{\textrm Speed}[/tex]
Or, t = [tex]\dfrac{d}{s}[/tex]
Or, t = [tex]\dfrac{\textrm 21 miles}{\textrm 3 miles per hour}[/tex]
∴ t = 7 hours
So, The time taken to cover 21 miles = t = 7 hours
i.e slope of the given relationship = 7
Hence, The slope of given relationship is 7 and it is not - 3 . Answer
What quadrant is (15,-12) lie
Answer:
IV/4
Step-by-step explanation:
Go to 15 on the x line and go down 12 and that’s the 4
The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 6 and 9. What is the length of the altitude? A. 2004-04-01-01-00 B. 2004-04-01-01-00 C. 2004-04-01-01-00 D. 2004-04-01-01-00
Answer:
I think the answer is the second choice so B. Also your pretty
Answer:
its d ac/gi=bc/hi
Step-by-step explanation:
14 kilograms + 0.28 kilograms