Answers
Answer:
[tex] \huge \boxed{ \tt i)1.6} \\ \huge \boxed{ \tt ii)4.3} \\ \huge \boxed{ \tt iii)8.3} \\ \huge \boxed{ \: \: \: \: \tt iv)9.2 \: \: \: }[/tex]
Step-by-step explanation:
to understand thisyou need to know about:square rootfinding square root by division methodconverting decimal to a fractionPEMDAStips and formulas:tips for finding square root by division method
Group the digits in pairs, starting with the digit in the units placeThink of the largest number whose square is equal to or just less than the first period. Take this number as the divisor and also as the quotient.Subtract the product of the divisor and the quotient from the first period and bring down the next period to the right of the remainder. the new divisor is obtained by taking two times the quotient and annexing with it a suitable digit which is also taken as the next digit of the quotient, chosen in such a way that the product of the new divisor and this digit is equal to or just less than the new dividend. Repeat steps till all the periods have been taken uptips for converting decimal to a fraction
Write down the decimal divided by 1Multiply both top and bottom by 10 for every number after the decimal pointreduce the fractionlet's solve:solve the square roots using division method:
the picture is attachedsolve the square roots by converting decimals into fraction:
[tex] \tt i) \sqrt{2.56} \\ \tt \sqrt{ \frac{256}{100} } \\ \tt \sqrt{ \frac{1 {6}^{2} }{ {10}^{2} } } \\ \tt\frac{16}{10} \\ \tt \: 1.6[/tex]
[tex] \tt ii) \sqrt{18.49} \\ \tt \sqrt{ \frac{1849}{100} } \\ \tt\sqrt{ \frac{ {43}^{2} }{ {10}^{2} } } \\ \tt \frac{43}{10} \\ \tt 4.3[/tex]
[tex] \tt iii) \sqrt{ 68.89} \\ \tt \sqrt{ \frac{6889}{100} } \\ \tt \sqrt{ \frac{ {83}^{2} }{ {10}^{2} } } \\ \tt \frac{83}{10} \\ \tt 8.3[/tex]
[tex] \tt iv) \sqrt{84.64} \\ \tt\sqrt{ \frac{8464}{100} } \\ \tt\sqrt{ \frac{ {92}^{2} }{ {10}^{2} } } \\ \tt \frac{92}{10} \\ \tt9.2[/tex]
Answer:
1.6
4.3
8.3
9.2
Step-by-step explanation:
Hope it is helpful....
Related Questions
What is the cos A? ....
Answers
Answer:
4/5
Step-by-step explanation:
CosA= A/H
Adjacent/hypotenuse
what is the additive inverse of the complex number -8+3i
Answers
Answer:
8-3i
Step-by-step explanation:
additive inverse of a+bi is -(a+bi)
so -(-8+3i) -- distribute negative through ()
8-3i
I have a big question what is 720 x 0.1
Answers
Answer:
72
Step-by-step explanation:
Answer:
72
Step-by-step explanation:
I hope this helps :)
Line passes through point (1, 7) and point (-2, 4). What is the slope of this line?
Answers
The slope of the line is 1.
The slope of the line is 1 because the line moves ror goes up from left to right, making it a positive. The line also moves one block over and one block up.
Answer:
1
Step-by-step explanation:
1.Write an equation that models the following verbal statement and show/explain how you know your translation is correct.
Five less than four times a number is equal to three times the number.
2. Alejandra stayed 3 nights in a hotel for a total of $254.91. If each night was the same price, what did Alejandra pay per night? Show your thinking, use units to label your answer!
Answers
Answer:
Step-by-step explanation:
4x-5 = 3x
A company produces two types of jackets; windbreakers and rainbreakers. The company has at most 61 hours of finishing time per week and 67 hours of packaging time per week. Each windbreaker jacket takes 59 minutes of finishing time and 21 minutes of packaging time per week, whereas each rainbreaker jacket takes 58 minutes of finishing time and 34 minutes of packaging time per week. The company's profit for each windbreaker and rainbreaker jacket is 28 and 41, respectively. Let x denote the number of windbreaker jackets they should produce and y denote the number of rainbreaker jackets they should produce. The company wants to maximize profit. Set up the Linear Programming Problem for this situation.
Answers
Answer:
Max p = 28x + 41y
Subject to
59x + 58y ≤ 3660
21x + 34y ≤ 4020
x ≥ 0, y ≥ 0
Step-by-step explanation:
As given ,
Windbreakers Rain breakers Total
Finishing time 59 min 58 min 61 hr
Packaging time 21 min 34 min 68 hr
Profit 28 41
Let
The number of windbreaker jackets they should produce = x
The number of rain breaker jackets they should produce = y
As given,
The company wants to maximize profit.
⇒ Maximum Profit , p = 28x + 41 y
Now,
As 1 hour = 60 min
⇒61 hours = 61×60 = 3660 min
and 67 hours = 67×60 = 4020 min
∴ we get
The equations become
59x + 58y ≤ 3660
21x + 34y ≤ 4020
x ≥ 0, y ≥ 0
So, the Linear Programming Problem (LPP) for this problem is -
Max p = 28x + 41y
Subject to
59x + 58y ≤ 3660
21x + 34y ≤ 4020
x ≥ 0, y ≥ 0
NAME DATE PERIOD 5-6 Practice 1 2 3 4 Probability and Odds Find the probability of each outcome if a pair of dice are rolled. Refer to the table below, which shows all of the possible outcomes when you roll a pair of dice. 4 5 6 (1, 1) (1, 2) (1, 3) (1. 4) (1,5) (1,6) 2 (2, 1) (2.2) (2, 3) (2, 4) (2,5) (2, 6) 3 (3, 1) (3, 2) (3, 3) (3, 4) (3,5) (3,6) 4 (4, 1) (4, 2) (4.3) (4, 4) (4, 5) (4, 6) 5 (5, 1) (5, 2) (5, 3) (5, 4) (5,5) (5, 6) 6 (6, 1) (6.2) (6.3) (6,4) (6,5) (6, 6) 1 36 1. ap h number on the second die . 2. a sum of 8 18 - ä 25 26 3. a sum of 7 4. load sum 5. a sum less than 6 6. a sum greater than 7 7. both die are the same number 8. a sum less than 2 0136 Find the odds of each outcome if a bag contains tīblue marbles, 3 yellow marbles, and 2 red marbles. 9. choosing a blue marble 10. choosing a red marble 7:5 11. choosing a yellow marble 1:5 5:7 12. choosing a yellow or red marble 5.7 13. choosing a yellow or blue marble 14. choosing a blue or red marble 15. not choosing a blue or red marble 16. not choosing a blue marble 5:7 222 Algebra: Concepts and Applications © Glencoe/McGraw-Hill
Answers
Answer: Link to answer below
Step-by-step explanation:
Find the perimeter of lsosceles triangle ABC (below) if mAD = 3 and m < BAC = 55 degrees. Round to the nearest hundredth.
Answers
Answer:
r
Step-by-step explanation:
Can you please help me understand this question please?
Answers
Answer:
B
u just subsitute in each inequality form and so u will find the only one that is right is letter b
-4 is x
-2 is y
M is the midpoint of PA.
8x - 1
M
2x + 17 A
PM =
Answers
Use the given functions to set up and simplify PM
M =
PA =
8x - 1
M=
2x + 17A
PM=
Solve for all values of x by factoring. x^2 −2x−4= -2x+5
Answers
Answer:
-3 and 3
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]x^2-2x-4=-2x+5\\ \\ x^2-9\\ \\ (x+3)(x-3)[/tex]
The diameter of the raw cookie is 2 1 2 inches. After baking the cookie, the diameter is 5 1 2 inches. By what factor does the cookie expand?
Answers
Answer:
[tex]Factor = 220 \%[/tex]
Step-by-step explanation:
Given
[tex]Initial = 2\frac{1}{2}[/tex]
[tex]Final = 5\frac{1}{2}[/tex]
Required
Determine the factor of increment
First, we calculate the percentage increment
[tex]\% Increment = \frac{Final - Initial}{Initial} * 100\%[/tex]
Substitute values for Final and Initial
[tex]\% Increment = \frac{5\frac{1}{2} - 2\frac{1}{2}}{2\frac{1}{2}} * 100\%[/tex]
Express fractions as decimals
[tex]\% Increment = \frac{5.5 - 2.5}{2.5} * 100\%[/tex]
[tex]\% Increment = \frac{3}{2.5} * 100\%[/tex]
[tex]\% Increment = \frac{3* 100}{2.5} \%[/tex]
[tex]\% Increment = \frac{300}{2.5} \%[/tex]
[tex]\% Increment = 120 \%[/tex]
So, the factor of increment is:
[tex]Factor = 100\% + Increment[/tex]
[tex]Factor = 100\% + 120 \%[/tex]
[tex]Factor = 220 \%[/tex]
What are the coordinates of the image of point T(2,4) over the transformation D(1/2,R), where R(6,-2) is the center. X= ? Y= ?
Answers
9514 1404 393
Answer:
T'(4, 1)
Step-by-step explanation:
The dilation transformation around a center not the origin is ...
T' = k(T -R) +R . . . . for dilation factor k and center R
This can be simplified to ...
T' = 1/2T -1/2R +R = 1/2T +1/2R = (T +R)/2
Using the given point values, we find the image point to be ...
T' = ((2, 4) +(6, -2))/2 = (8, 2)/2 = (4, 1)
The image point is T'(4, 1).
Home Depot sells an $1850 gas grill on the installment plan. The installment agreement includes a 20% down payment and 12 monthly payments of $160.
What is the total cost of the grill on the installment plan?
Answers
Answer:
Total cost of the grill installment plan = 2290
Step-by-step explanation:
370 + 1920 = 2290
Sally is teaching a nursery rhyme to her kindergarten students. She found that 4 out of every 10 students know the rhyme. If Sally has a total of 20 students, how many students in her class know the rhyme?
Answers
Step-by-step explanation:
the answer is
[tex]= \frac{4}{10} \times 20 = 8[/tex]
When students are admitted to a particular university, they are given a six-digit identification number (NNNNNN). If the first digit must be either a 0 or 1, how many identification numbers are possible?
Answers
Answer:
200,000 identification numbers are possible
Step-by-step explanation:
For the first digit, there are only two possible outcomes, 0 or 1.
For the next five digits, there are 10 possible outcomes(0,1,2,3,4,5,6,7,8,9).
How many identification numbers are possible?
[tex]2 \times 10^5 = 200000[/tex]
200,000 identification numbers are possible
if the figures below are similar give the scale factor of figure a to b,20,17.5,16,14
Answers
Answer:
Step-by-step explanation:
By eating 1 egg, 1 cupcake, and 1 slice of pizza, a child consumes 300 mg of cholesterol. If the child eats 3 cupcakes and 4 slices of pizza, he or she takes in 86 mg of cholesterol. By eating 2 eggs and 1 cupcake, a child consumes 566 mg of cholesterol. How much cholesterol is in each item?
Answers
Answer:
cholesterol in egg= 273 mg
cholesterol in cupcake = 18 mg
cholesterol in slice of pizza = 9 mg
Step-by-step explanation:
Given data:
1 egg , 1 cupcake , 1 slice of pizza = 300mg
3 cupcakes , 4 slices of pizza = 90mg
2 eggs , 1 cupcake = 564mg
Let egg be x , let cupcake be y and let pizza be y
x + y + z = 300 (equation 1)
0x + 3y + 4z = 90 (equation 2)
2x + y + 0z = 564 (equation 3)
Using equation 1 and equation 2
x + y + z = 300 (Multiply equation by 3)
0x + 3y + 4z = 90
3x + 3y +3z =900
0x +3y +4z = 90 (Subtracting the equations)
3x - z = 810 (equation 4)
Using equation 2 and equation 3
0x + 3y + 4z = 90
2x + y + 0z = 564 (Multiply equation by 3)
0x + 3y + 4z = 90
6x +3y + 0z = 1692 (Subtracting the equations)
-6x +4z =-1602 (equation 5)
Solving equation 4 and equation 5
3x - z = 810 therefore z =3x -810
Substituting z into equation 5
-6x +4(3x - 810) =-1602
-6x + 12x - 3240 = -1602
6x = -1602+3240
6x = 1638
x = 273
Substituting x into z = 3x - 810
z = 3(273) - 810
z = 819-810
z = 9
Using equation 1 to find y
x + y + z = 300
273 + y + 9 = 300
282 + y = 300
y = 300-282
y = 18
A copy machine makes 36 copies per minute. How long does it take to make 117 copies
Answers
Answer:
3.25 minutes
Step-by-step explanation:
117 ÷ 36 = 117
Answer:
3.25 min
Step-by-step explanation:
copies. time
36. 1
117. x
36×x= 117×1
x. = 117÷36
x. = 3.25 min
Yoshi has a rope 30 feet long. He must cut it in pieces that are 1/4 foot long will he get more or fewer than 30 pieces
Answers
Answer:
More
Step-by-step explanation:
If we divide 30 by .25 we will get 120
3) What is an equation for the line that passes through the coordinates (-1.2) and (7,6) ?
Answers
Answer:
[tex]y=\frac{1}{2} x+\frac{5}{2}[/tex]
Step-by-step explanation:
First find the slope using the slope using the given points. Remember that the slope is the change in y over the change in x.
[tex]\frac{6-2}{7- (-1)}=\frac{4}{8}=\frac{1}{2}[/tex]
So now we have the equation [tex]y=\frac{1}{2} x+b[/tex], and we need to find out what b is. We can do this by pointing a point (either one, but I'll use -1,2) into the equation
[tex]2=\frac{1}{2}(-1)+b[/tex]
Rearrange the equation so it equals b
[tex]\frac{5}{2}=b[/tex]
Put it together and that's the final equation!
[tex]y=\frac{1}{2} x+\frac{5}{2}[/tex]
A major corporation is building a 4,325-acre complex of homes, offices, stores, schools, and churches in the rural community of Glen Cove. As a result of this development, the planners have estimated that Glen Cove's population (in thousands) t years from now will be given by
(25t2 + 150t + 100)/(t2 + 6t + 24)
A) Find the rate at which Glen Cove's population is changing with respect to time.
B) What will be the population after 10 years?
C) At what rate will the population be increasing when t = 10?
Answers
Answer:
See explanation
Step-by-step explanation:
We have that;
P(t) = (25t2 + 150t + 100)/(t2 + 6t + 24)
a) rate at which Glen Cove's population is changing with respect to time.
dP/dt = (t^2 + 5t + 40) (50t + 125) - (25t^2 + 125t + 200) (2t + 5)/(t^2 + 5t + 40)^2
dP/dt = 1000t + 3000/(t^2 + 6t + 24)^2
b) population after 10 years
P(t) = (25t2 + 150t + 100)/(t2 + 6t + 24)
P(t) =(25(10)^2 + 150(10) + 100)/((10^2 + 6(10) + 24)
P(t) = 4100/184
P(t) = 22283
c) when t = 10
dP/dt = 1000t + 3000/(t^2 + 6t + 24)^2
dP/dt = 1000(10) + 3000/(10^2 + 6(10) + 24)^2
dP/dt = 13000/33856
dP/dt = 0.384
william runs 40 yards in 4.5 seconds. at the same pace how long will he take to run 100yards?
Answers
Answer:
11.25 seconds
Step-by-step explanation:
first, we need to figure how how far william can run per second
we can find this by 40 ÷ 4.5
= 8.889 per second
so we know that 8.889 • s (seconds) = 100
8.889s = 100 divide both sides by 8.889
s = 11.25 seconds
Answer:
William will take 11.25 seconds to run 100 yards
Step-by-step explanation:
Constant Rate
William runs 40 yards in 4.5 seconds. The rate of change of the distance is
[tex]\frac{40}{4.5}[/tex]
To run 100 yards, we divide by the rate obtained above:
[tex]\displaytstyle \frac{100}{\frac{40}{4.5}} =100*\frac{4.5}{40} =11.25[/tex]
William will take 11.25 seconds to run 100 yards
A truck is carrying passion fruit juice, cherry juice, and mango juice bottles in a ratio 1:2:7. If there are 34 cherry juice bottles, then how many nango juuce bottles are there?
Answers
Answer:
Step-by-step explanation:
We can solve this using a ratio. If there a 2 bottles of cherry in the ratio and there are 34 actual bottles of cherry, then the ratio is
[tex]\frac{ratio}{actual}:\frac{2}{34}[/tex]
In the ratio, we are told that the mix of bottles is 7 parts mango and we want to know how many actual bottles there are of mango. So filling in:
[tex]\frac{ratio}{actual} =\frac{2}{34} =\frac{7}{m}[/tex] and cross multiply to get
2m = 238 and
m = 119. There are 119 bottles of mango juice. And just for the record, there are 17 bottles of fruit juice.
Answer:
m = 119. There are 119 bottles of mango juice. there are 17 bottles of fruit juice.
need help pls and thank you
Answers
Answer:
y=25x
Step-by-step explanation:
It is a linear equation with a slope of 25
Just the answers please
Answers
Angle F to angle S
Angle G to angle U
EF is TS
FG is SU
TU is GE
Hope it helps :)
If the cost of a dozen pencil is 96 . find the cost of 18 pencil plz fast i have to summit now
Answers
Answer:
Cost of dozen pencils = 96
Cost of one pencil = 96 / 12 = Rs.8
Cost of 18 pencils = 8×18 = Rs.144
Step-by-step explanation:
Hope it helps
Mark me as brainliest plz
Step-by-step explanation:
12.6d07
Find the probability.
In one town, 47% of all voters are Democrats. If two voters are randomly selected for a
survey, find the probability that they are both Democrats.
Select one:
a. 0.221
b. 0.940
c. 0.470
d. 0.216
Answers
Answer:
A
Step-by-step explanation:
The fact you need to use is 47%
47/100 * 47/100 = 2209 / 10000 = 0.221
Help me find the answer to this please. And also explain how to slove these problems.
Answers
Answer:
B and C
Step-by-step explanation:
Minimum and Maximum points occur when the gradient of the function is equal to 0. Graphically this looks like a bend such that the function dips from decreasing to increasing (the gradient goes form being negative to positive) and vice versa.
A minimum point occurs where all the nearby values are higher than that of the point in question.
A maximum point occurs where all the nearby points are lower than the point in question.
By looking at the graph, there is a maximum point around (4.5, 1.5) which is consistent with B but not A (since A talks about a minimum point)
By looking at the graph, there is a minimum point around (0.5, 1.5) which is consistent with C.
I've highlighted areas of interest below so hopefully that's helpful :>
Please help......................
Answers
18.9 or 18 9/10 or b or the second option.
Answer:
it's 18 9/10
Step-by-step explanation: