9514 1404 393
Answer:
(9/10)/(2/5) = ratio of work times
2 1/4 times as long
Step-by-step explanation:
Given:
2/5 hours work in the morning
9/10 hours work in the afternoon
Find:
an equation for how many times as long was afternoon work compared to morning work
the equation solution
Solution:
a/m = r . . . . ratio of afternoon work to morning work
(9/10)/(2/5) = r . . . equation
(9/10)/(4/10) = r
9/4 = r = 2 1/4 . . . solution
The builder worked 2 1/4 times as long in the afternoon as in the morning.
What is the lcm of 84,102 and 100
Step-by-step explanation:
[tex]\sf{ 2 |{\underline{84,102,100}}}[/tex]
[tex]\sf{ 2|{\underline{42,51,50}}}[/tex]
[tex]\sf {3|{\underline{21,17,25}}}[/tex]
[tex]\sf {5|{\underline{7,17,25}}}[/tex]
[tex]\sf {\:\:{7,17,5}}[/tex]
LCM=2×2×3×5×7×17=7120Select the correct answer.
Select the lightest weight.
1 750 g
I 0.7 kg
7.5 kg
705
g
7.05 kg
Answer:
1 750 g
Step-by-step explanation:
hhhahahahahahahaha
Charlotte had to distribute 71 dollars among 6 people. What is left with Charlotte after distribution if all six got maximum equal dollars?
Answer:
5?
Step-by-step explanation:
A construction company is building a small deck for a customer and plans to use for the two boards that are 12 3/4 feet, four boards that are 13 5/8 feet, and two boards that are 10 1/2 feet. Find the total number of feet in all the boards
9514 1404 393
Answer:
101 feet
Step-by-step explanation:
Multiply the number of boards by the length of the boards, and add the products.
2(12 3/4) +4(13 5/8) +2(10 1/2) = 25 1/2 +54 1/2 +21 = 101
The total length of the boards is 101 feet.
If 1st and 4tg terms of G.p are 500 and 32 respectively it's second term is ?
Answer:
[tex]T_{2} = 200[/tex]
Step-by-step explanation:
Given
Geometry Progression
[tex]T_1 = 500[/tex]
[tex]T_4 = 32[/tex]
Required
Calculate the second term
First, we need to write out the formula to calculate the nth term of a GP
[tex]T_n = ar^{n-1}[/tex]
For first term: Tn = 500 and n = 1
[tex]500 = ar^{1-1}[/tex]
[tex]500 = ar^{0}[/tex]
[tex]500 = a[/tex]
[tex]a = 500[/tex]
For fought term: Tn = 32 and n = 4
[tex]32 = ar^{4-1}[/tex]
[tex]32 = ar^3[/tex]
Substitute 500 for a
[tex]32 = 500 * r^3[/tex]
Make r^3 the subject
[tex]r^3 = \frac{32}{500}[/tex]
[tex]r^3 = 0.064[/tex]
Take cube roots
[tex]\sqrt[3]{r^3} = \sqrt[3]{0.064}[/tex]
[tex]r = \sqrt[3]{0.064}[/tex]
[tex]r = 0.4[/tex]
Using: [tex]T_n = ar^{n-1}[/tex]
[tex]n = 2[/tex] [tex]r = 0.4[/tex] and [tex]a = 500[/tex]
[tex]T_{2} = 500 * 0.4^{2-1}[/tex]
[tex]T_{2} = 500 * 0.4^1[/tex]
[tex]T_{2} = 500 * 0.4[/tex]
[tex]T_{2} = 200[/tex]
Hence, the second term is 200
2. The reciprocal of 4 3/6 is
a. 6/27
b. 6/30
c. 4 6/3
d. 6 3/4
Answer:
6/27
Step-by-step explanation:
[tex]4 \frac{3}{6} \\ \\ = \frac{4 \times 6 + 3}{6} \\ \\ = \frac{24 + 3}{6} \\ \\ 4 \frac{3}{6} = \frac{27}{6} \\ \\ reciprocal \: of \: 4 \frac{3}{6} = \frac{6}{27} [/tex]
PLEASE HELP I NEED TO TURN THIS IN BEFORE 2.
what fractions of the second ten counting numbers (11,12,13...,.18,19,20) Are composite and prime
will be the brainest
Answer:
Fraction of composite numbers = 6/10
Fraction of prime numbers = 4/10
Step-by-step explanation:
A composite number can be defined as a positive integer that will be formed when we multiply two smaller positive integers. It can also be said to be a positive integer that has at least one divisor of which 1 and itself are not included.
Thus, it means that the set of numbers given to us which is;
(11, 12, 13, 14, 15, 16, 17, 18, 19, 20), the composite numbers are;
12, 14, 15, 16, 18, 20
This is because each of them have at least one divisor that is neither itself or 1.
Thus, we have 6 out of the 10 numbers as composite.
Fraction of composite numbers = 6/10
Now, a prime number is a number that are only divisible by itself and 1.
Thus,from the given set, the prime numbers are; 11, 13, 17 & 19
We have 4 out of 10 numbers as prime numbers.
Thus, fraction of prime numbers = 4/10
Kevin has completed 36% of his running marathon. he has ran 9 miles. How long is the marathon?
Answer:
25 miles
pls tell if I'm wrong
3. Use the given information about the polynomial graph to write out the equation.
Degree 5, Roots of multiplicity 2 at x = 3 and x = -2 and a root of multiplicity 1 at x = 4,
y-intercept at (0,12).
Answer:
[tex]f(x)=-\frac{1}{12}(x-3)^2(x+2)^2(x-4)[/tex]
Step-by-step explanation:
The standard form for a polynomial equation in its factored form is:
[tex]f(x)=a(x-p)(x-q)...[/tex]
Where p and q are the zeros and a is the leading coefficient.
We know that the degree of the polynomial is 5.
We are also given roots at x=3 and x=-2. Hence, our factors are (x-3) and (x+2).
These have a multiplicity of two, so we will square them.
We also know that there is a root at x=4. Hence, the factor is (x-4). This has a multiplicity of 1.
Therefore, our polynomial is now:
[tex]f(x)=a(x-3)^2(x+2)^2(x-4)[/tex]
We know that the y-intercept is 12. Therefore, if we substitute in 0 for x, we should get 12 for y. Here, we are solving for our a. Therefore:
[tex]12=a(0-3)^2(0+2)^2(0-4)[/tex]
Evaluate:
[tex]12=a(9)(4)(-4)[/tex]
Evaluate:
[tex]-144a=12[/tex]
Divide both sides by -144:
[tex]a=-1/12[/tex]
Hence, our entire polynomial is:
[tex]f(x)=-\frac{1}{12}(x-3)^2(x+2)^2(x-4)[/tex]
A pack of gatorade states that 4 tablespoons of mixture should be added for every 7 cups of water. If the container holds 56 cups of water in it, how much should be added to the water?
A medical researcher claims that 10 % of children suffer from a certain disorder. Identify the type I error for the test.
a. Reject the claim that the percentage of children who suffer from the disorder is different from 10% when that percentage really is different from 10%.
b. Fail to reject the claim that the percentage of children who suffer from the disorder is equal to 10% when that percentage is actually different from 10%.
c. Fail to reject the claim that the percentage of children who suffer from the disorder is equal to 10% when that percentage is actually 10%.
d. Reject the claim that the percentage of children who suffer from the disorder is equal to 10% when that percentage is actually 10%.
Answer:
D: Reject the claim that the percentage of children who suffer from the disorder is equal to 10% when that percentage is actually 10%.
Step-by-step explanation:
In statistics, type I error is when we reject the null hypothesis even when it is true.
Now, the claim which is the null hypothesis is that that 10 % of children suffer from a certain disorder.
This means that a type I error will be;
Reject the claim that the percentage of children who suffer from the disorder is equal to 10% when that percentage is actually 10%.
lupita and kevin walk to school.lupita walks 3/5 mi.kevin walks 0.65 mi.who walks a greater distance to school?how much greater?
Answer:
0.05
Step-by-step explana
What does 2.89x0.79x1.35= equal?
Answer: 3.082185x^2
Step-by-step explanation: Find the exact value using trigonometric identities
The Williams are buying a house that costs $323,000 and can afford a 10% down payment. If the Williams want the lowest monthly payment, which loan option would you recommend? 15 year fixed, 5% down at a fixed rate of 5.5% b. 30 year FHA, 3.5% down at a fixed rate of 6.25% 30 year fixed, 20% down at a fixed rate of 5.75% d. 30 year fixed, 10% down at a fixed rate of 6%
Answer:
The awnser is D
Step-by-step explanation:
Edge 2020!
The loan option that has a 30 year period with the maximum down
payment the Williams can afford as well as a low rate is recommended.
Response:
The recommended loan option is option d. 30 year fixed, 10% down at a fixed rate of 6%.Which factors gives the loan with the lowest monthly payments?The given information are:
The amount at which the Williams are buying the house = $323,000
Percentage of down payment he can afford = 10%
Required:
The loan with the lowest monthly payment.
Solution:
The lowest fixed monthly payment is given by the loans that have the
longest period in which to pay back the loan, which includes the options;
b. 30 year FHA, 3.5% down at a fixed rate of 6.25%
c. 30 year fixed, 20% down at a fixed rate of 5.75%
d. 30 year fixed, 10% down at a fixed rate of 6%
Given that the Williams can afford a 10% down payment, option b. and
option c are the possible options.
The interest rate for option b is higher and option b has a lower down
payment than the interest rate and down payment for option c.
The lower the down payment, the higher the monthly payment.Therefore;
The option that has the overall lowest monthly payment is option d.
d. 30 year fixed, 10% down at a fixed rate of 6%.Learn more about monthly payment for a loan here:
https://brainly.com/question/2371137
How do you do this question?
Answer:
-0.391 < x < 0.391
Step-by-step explanation:
The Maclaurin series for cosine is:
cos(x) = ∑ (-1)ⁿ x²ⁿ / (2n)!
So the next term would be -x⁶/6!. When the absolute value of this is less than the error:
│-x⁶/6!│< 0.000005
x⁶ / 720 < 0.000005
x⁶ < 0.0036
-0.391 < x < 0.391
A video game has the following formula:
For every 1,701 in attack power, you gain 3 levels.
You get one bonus star per every 33 levels completed.
If a player has an attack power of 0.04 million, how many bonus stars could they get?
Round to a whole number.
Answer:
2 bonus stars
Step-by-step explanation:
0.04 million= 40,000
40000/1701= 23.5
23.5(3)= 70.5
70.5/33= 2 stars
Solve x2 − 10x = −13.
A) 5 ± 2square root 3
B) 5 ± square root 38
C) 5 ± 2square root 2
D) 5 ± 3square root 2
Answer:
B
Step-by-step explanation:
First, let's rearrange the given equation into something more recognizable. If we add 13 to both sides, we now have the polynomial [tex]x^{2}-10x+13[/tex]. We can now use the quadratic formula to solve.
Remember that the quadratic formula is
[tex]\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}[/tex]
Substitute the numbers from the equation into the formula.
[tex]\frac{-(-10)+/-\sqrt{(-10)^{2}-4(1)(13) } }{2(1)}[/tex]
Simplify:
[tex]\frac{10+/-\sqrt{100-52} }{2}[/tex]
[tex]\frac{10+/-\sqrt{48} }{2}[/tex]
Here, I'm going to assume that there was a mistype in option B because if we divide out the 2 we end up with [tex]5+/-\sqrt{48}[/tex].
Hope this helps!
Help solve this equation
Answer:
x=1
You solve for x by cross multyplying
Arizona iced tea is manufactured in a warehouse by machines that bottles
the iced tea bottles and puts the caps and labels on them. There is a
special machine that bottles iced tea so that every 8th bottle gets a green
label and every 6th bottle gets a pink cap.
What number bottle will be the first bottle to get a green label and a
pink cap?
On the 100th year Anniversary every 10th bottle got a special edition bottle
that has a gold band.
What number bottle will be the first to get a green label, a pink cap
and a special edit
Answer:
to get a green and pink it would be 24
i cant find find the special edit sorry
Step-by-step explanation:
Three letters are randomly chosen from the word PROBABILITY. What is the probability that one of the letters is P?
Answer:
If 3 letters are picked from the word 'PROBABILITY', the chances of it being P is 33.33%.
Hope this helps and if you could mark me as brainliest. Thanks!
slope = 3/4 , goes through the point (0, 6)
Answer:
y = 3/4x + 6
Step-by-step explanation:
5pm to 5 am how many hours
Answer:
12 hours
Step-by-step explanation:
Answer:
12 hours
Step-by-step explanation:
Find the system of inequalities which represents the shaded region on the coordinate plane.
A)y> 2x² + x and y> 1 + x
B)y > 2x² + x and y> 1 - x
C)y> 2x²- x and y> 1 + x
D)y > 2x² - x and y > 1 - x
Answer:
given, y≥2x+1 and
y>
2
1
x−1
first, draw the graph for equations y=2x+1 and y=
2
1
x−1
for y=2x+1
substitute y=0 we get, 2x+1=0⟹x=−0.5
substitute x=0 we get, y=1
therefore, y=2x+1 line passes through (0.5,0) and (0,1) as shown in fig.
Hence, y≥2x+1 includes the region above the line.
for y=
2
1
x−1
substitute y=0 we get,
2
1
x−1=0⟹x=2
substitute x=0 we get, y=−1
therefore, y=2x+1 line passes through (2,0) and (0,-1) as shown in fig.
Hence, y>
2
1
x−1 includes the region above the line.
the intersection region is the shaded region as shown in above figure which includes I, II and III quadrants.
Therefore, quadrant IV has no solution please make as brainlelist
235 people are at a summer camp. There are 35 more boys than girls, and 70 fewer adults than girls. How many people of each group are at the camp?
Answer:
125 boys, 90 girls and 20 adults
Step-by-step explanation:
Let the number of boys be x
Let the number of girls be y
Let the number of adults be z
If there are 235 people at the summer camp, then;
x + y+ z = 235 ..... 1
If there are 35 more boys than girls, then;
x = y + 35 .... 2
If there are 70 fewer adults than girls then;
y = z - 70
z = y - 70....3
Substitute 2 and 3 into 1;
x + y+ z = 235 ..
(y+35)+y+(y-70) =235
3y -35 = 235
3y = 270
3y/3 = 270/3
y = 90
Since x = y + 35
x = 90 + 35
x = 125
Also z = y - 70
z = 90+70
z = 20
There are 125 boys, 90 girls and 20 adults
Answer:
There are 90 girls, 125 boys, and 20 adults.
Step-by-step explanation:
Let x be the number of girls. How many boys were there?
x + 35
How many adults were there?
x - 70
We know that 235 people are at RSM summer camp. Use this to make an equation.
x + (x + 35) + (x - 70) = 235
x + x + 35 + x - 70 = 235
3x - 35 = 235
3x - 35 + 35 = 235 + 35
3x = 270
3x ÷ 3 = 270 ÷ 3
x = 90
x, x + 35, x - 70
90, 125, 20
A particular asteroid moves at a speed of 55,000 miles per hour . How many hours will it take the asteroid to travel a distance of 4.62x 10^5 miles ?
Answer:
8.4 hours
Step-by-step explanation:
Given that:
Speed of asteroid = 55000 miles/hr
Distance traveled by asteroid = 4.62 [tex]\times[/tex] [tex]10^5[/tex] miles
We are required to find here how many hours the asteroid will take to travel the given distance with the given speed.
Formula for speed can be given as following:
[tex]Speed = \dfrac{Distance}{Time}[/tex]
OR, the formula for time in terms of speed and distance can be given as following:
[tex]Time= \dfrac{Distance}{Speed}[/tex]
Putting the given values in the formula to find the Time:
[tex]Time= \dfrac{4.62\times 10^5}{55000}\\\Rightarrow \bold{Time = 8.4\ hours}[/tex]
pls answer ASAP
Select all that apply.
Which decimals in the list are repeating decimals?
Answer:
- 5/6
- 1/3
Step-by-step explanation:
Answer:
A and F
Step-by-step explanation:
5/6 and 1/3
y=mx+b
answer fast, please!
Answer: y = -1x + 3
Step-by-step explanation:
it's going through the y intercept ( 3 )
and down ( negative by 1 )
you can also write the answer as y = -x + 3
either one, its the same.
Calculate the following speed Distance of 20 meters, time is 2 seconds.
Answer:
10 meters per sec
Step-by-step explanation:
Answer:
10 meters per seconds.
Step-by-step explanation:
What is the value of x?
6.7578x=13
276
175
18
53
O
Answer:
Step-by-step explanation:
6.7578 *x = 13 divide both sides by 6.7578
[tex]\frac{6.7578}{6.7578} *x = \frac{13}{6.7578}[/tex]
x= 1.923
Find the area of a square is 12cm find the length
Answer:
The length would be l=3.46
Step-by-step explanation: