The lost pair of weight can be found by subtracting the a known pair from
the total weight leaving the value of the lost pair.
The lost weight of a pair of boys is 120 kg
Reasons:
Let a, b, c, and d represent the weights of the four boys, we have;
The number of ways of selecting pairs (two boys) of boys from a group of
four is given using combination formula as follows;
[tex]_nC_r = \dfrac{n!}{r! \cdot (n - r)!}[/tex]
Which gives;
[tex]_4C_2 = \dfrac{4!}{2! \cdot (4 - 2)!} = 6[/tex]
₄C₂ = 6
Therefore, the weights of the pairs are;
a + b = 110
a + c = 112
a + d = 113
b + c = 118
b + d = 121
c + d = Lost weight
c + d = Lost weighta + b + c + d = 230 (given)
Therefore;
The lost weight, c + d = 230 - (a + b)
Which gives;
c + d = 230 - (110) = 120
The lost weight = c + d = 120
The lost weight = 120 kgLearn more here:
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Answer:
116
Step-by-step explanation:
you can use variables
a+b=110
a+c=112
a+d=113
b+c=118
b+d=121
add up the weights and you get 574 kg (you need to find c+d)
3a+3b+2c+2d=574
a+b+c+d = 230 as given then you multiply by 3 so you can cancel out 3a and 3b and subtract 690-574 because we multiplied by 3
you are left with c+d=116
similar method to the answer previously
Which of the following is a solution to the inequality below?19 ≥ 5k + 6
Answer:
k ≥ 13/5 or k ≥ 2.6 ( same thing )
Step-by-step explanation:
symbol stays the same throughout (≥)
subtract 6 from both sides of the symbol ( 13 ≥ 5k)
divide both sides by 5 (13/5 ≥ k )
your answer can be written as k ≥ 13/5 or k ≥ 2.6
Algebra 2 please help
Answer:
4th option
Step-by-step explanation:
(f + g)(x)
= f(x) + g(x)
= 4x² - 5x + 8 +2x² + x - 2 ← collect like terms
= 6x² - 4x + 6
Write the following equation in the general form Ax + By + C = 0.
1/2 y - 1/3x - 1 = 0
-2x + 3y - 6 = 0
2x - 3y - 6 = 0
2x - 3y + 6 = 0
plz help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Use DESMOS to plot both lines (attached).
If you make your own lines on the graph paper, pick two points for each line and connect them with a ruler. Both are straight lines, so we only need two points.
Pick any two values of x and solve each equation for y. I picked x = 1 and 3
EQ1: y=2x-2
EQ2: y=-x+4
Value of y EQ1 EQ2
x =1 0 3
x =3 4 1
Plot the points (1,0) and (3,4) for EQ1.
Do the same for EQ2: (1,3) and (3,1)
The attached graph shows these points. Note that one can draw stright lines for both equations using only these two points.
Sam practiced his long jump in P. E. On his first attempt, he jumped 1 meter 47 centimeters. On his second attempt, he jumped 98 centimeters. How much farther did Sam jump on his first attempt than his second?.
Answer:
51
Step-by-step explanation:
98-47= 51
im bo.red so there ya go
Maricopa's Success scholarship fund receives a gift of $ 115000. The money is invested in stocks,
bonds, and CDs. CDs pay 4 % Interest, bonds pay 5.3 % interest, and stocks pay 6.2 % interest.
Maricopa Success Invests $ 15000 more in bonds than in CDs. If the annual income from the
Investments is $ 6220, how much was invested in each account?
Maricopa Success invested $
in stocks.
Maricopa Success invested $
in bonds.
Maricopa Success invested $
in CDs.
Answer:
$50,000 in stocks
$40,000 in bonds
$25,000 in CDs
Step-by-step explanation:
Let c represent the amount invested in CDs. Then the amount invested in bonds is (c+15000) and the amount invested in stocks is (115000 -c -(c+15000)) = (100000 -2c). The total interest earned is ...
0.04c +0.053(c +15000) +0.062(100,000 -2c) = 6220
-0.031c +795 +6200 = 6220
-0.031c = -775 . . . . . . . . . . . . . . . subtract the left-side constants
c = 25000 . . . . . . . . . . divide by the coefficient of c
c+15000 = 40000 . . . . bonds
100000 -2c = 50000 . . . . . stocks
Maricopa Success invested ...
$50,000 in stocks
$40,000 in bonds
$25,000 in CDs
In a math class with 26 students, a test was given the same day that an assignment
was due. There were 17 students who passed the test and 18 students who completed
the assignment. There were 15 students who passed the test and also completed the
assignment. What is the probability that a student who failed the test completed the
homework?
Answer:
n a math class with 26 students, a test was given the same day that an assignment
was due. There were 17 students who passed the test and 18 students who completed
the assignment. There were 15 students who passed the test and also completed the
Answer:
3/26
Step-by-step explanation:
Form a venn diagram. You can see that there are 3 students who failed the test but completed the homework.
Plz mark as brainliest
if 20 articles cost $90,then the cost of 9 articles is
Answer:
$40.50
Step-by-step explanation:
90 divided by 20 is 4.5. then you multiply that times 9 and that's your answer.
pasagot please
answer it please
Answer:
Step-by-step explanation:
Let's start by looking at the graph of the two equations.
Since you are not looking for where the lines cross, I have chosen any 3 points for each equation almost randomly. I have not used either the x or y intercepts except once.
As a sample for the method of calculation
Let x -2y = 4
Let x = -2. Find y and put it in the table
-2 - 2y = 4 Add 2 to both sides
-2+2-2y = 4 + 2 Combine
-2y = 6 Divide by -2
y = 6/-2
y = - 3
Put that in the table under the first equation.
The other 5 points are done the same way.
-15 < x - 8 < -4
SOLVE COMPUND INEQUALITY
[tex] \sf \: -15 < x - 8 < -4 [/tex]
Add 8 to all parts[tex]\sf \longmapsto−15+8<x−8+8<−4+8[/tex]
[tex]\sf \longmapsto−7<x<4[/tex]
[tex] \boxed{\sf−7<x<4 }[/tex]
Graph attachedSolve the equation: [tex]x^{2} +5x+6=0[/tex]
I know [tex]x^{2} +5x+6=(x+3)(x+2)[/tex] (that was part a) but I don't know where to go from here!
Step-by-step explanation:
but then you did already the most work.
because just think : when is the expression
(x+3)(x+2) equal to 0 ?
only, if at least one factor of the multiplication is equal to 0.
you know, for example, 5×0 = 0, or 0×3 = 0.
that means either (x+3) or (x+2) must be 0.
x + 3 = 0
x = -3
and
x + 2 = 0
x = -2
and there you have it.
a quadratic equation (with the highest x exponent is 2) has 2 solutions for being 0.
and this one here has the 2 solutions
x = -3 and
x = -2
again, by finding the factors you did already the biggest and most difficult part yourself. congratulations !
What is the first step in solving this equation?
3(2x + 6) - 4x = 2(5x - 2) + 6
Use the subtraction property of equality to subtract 6 from both sides.
Use the addition property of equality to add 4x to both sides.
Combine the like terms on each side of the equation.
O Use the distributive property on each side of the equation.
Answer: use distributive property
Step-by-step explanation:
Find the value of y to the nearest tenth.
Step-by-step explanation:
the easiest approach seems to be the law of sines :
a/sin(A) = b/sin(B) = c/sin(C)
where the sides and the angles are always opposite of each other.
we have here a right-angled triangle, so the angle opposite of 10 is 90 degrees.
10/sin(90) = 10/1 = 10 = y/sin(37)
y = 10×sin(37) = 6.018150232 ≈ 6.0
Solve the math problem
Answer:
2) a. slope = 4/3
2) b. slope = -4
Step-by-step explanation:
The slope of the line that passes through points
[tex] (x_1, y_1) [/tex] and [tex] (x_2, y_2) [/tex]
is m, given by the slope formula below:
[tex] m = \dfrac{y_1 - y_2}{x_2 - x_1} [/tex]
2) a. (30, 32) and (18, 16)
[tex] m = \dfrac{y_1 - y_2}{x_2 - x_1} [/tex]
[tex] m = \dfrac{32 - 16}{30 - 18} [/tex]
[tex] m = \dfrac{16}{12} [/tex]
[tex] m = \dfrac{4}{3} [/tex]
2) b. (4, -26) and (10, -50)
[tex] m = \dfrac{y_1 - y_2}{x_2 - x_1} [/tex]
[tex] m = \dfrac{-50 - (-26)}{10 - 4} [/tex]
[tex] m = \dfrac{-24}{6} [/tex]
[tex] m = -4 [/tex]
Which of the following best represents the average rate at which infants gain weight for the first six months after birth?
Step-by-step explanation:
Infants may gain 5 to 7 ounces (140 to 200 grams) of weight a week and grow 1/2 to 1 inch (1.5 to 2.5 centimeters) per month from birth to 6 months. A baby's birth weight will double by the time they turn five months old.
0.1 x 0.01 x 0.001
ans ???
________
[tex] \: [/tex]
[tex]0.1 \times 0.01 \times 0.001 = ...[/tex]
[tex] = \frac{1}{10} \times \frac{1}{100} \times \frac{1}{1.000} [/tex]
[tex] = \frac{1}{10 \times 100 \times 1.000} [/tex]
[tex] = \bold{ \frac{1}{1.000.000}} [/tex]
Answer:
[tex]0.1 \times 0.01 \times 0.001 = 0.000001 \\ \\ \\ \\ i \: hope \: it \: is \: helpfull[/tex]
The owner of a new restaurant is ordering tables and chairs. He wants to have only tables for 2 and tables for 4. The total number of people that can be seated in the restaurant is 120.
a. Find some possible combinations of 2-seat tables and 4-seat tables that will seat 120 customers.
Answer:
5 points for what
Step-by-step explanation:
HeY
If e
very day, Kim practices volleyball and clarinet. Each day, she practices volleyball for 2.5 hours. If after 8 days she practiced both volleyball and clarinet for a total of 36 hours, how many hours per day did Kim practice clarinet?
Answer:
2hours
Step-by-step explanation:
2.5×8
=20
36-20
=16
16/8
=2hours
i forgot how to turn fractions into decimals pls help me
3/5 = 0.6 but how do u get 0.6
pls show the work
Answer:
A fraction is essentially division, so 3/5 is the same as 3 ÷ 5
3÷5 = 0.6
[tex]5\sqrt{3\\[/tex]
(imagine the square root is the divsion thing)
5 cannot go into 3 so the answer is a decimal
then add a zero at the end of 3 to make 30
0.
[tex]5\sqrt{30[/tex]
and 5 can go into 30, 6 times so you add a 6 to make 0.6
0.6
[tex]5\sqrt{30[/tex]
3x^3 -5x^2 -x+3 when x=4 help I'm stuck on this
The value of the expression [tex]3x^3-5x^2-x+3[/tex] when x = 4 is 110
The given equation is:
[tex]3x^3-5x^2-x+3[/tex]
To find the value of [tex]3x^3-5x^2-x+3[/tex] when x = 4, substitute x = 4 into the expression [tex]3x^3-5x^2-x+3[/tex]
When x = 4:
[tex]3x^3-5x^2-x+3 = 3(4^3)-5(4^2)-5+3\\\\3x^3-5x^2-x+3 =3(64)-5(16)-2\\\\3x^3-5x^2-x+3 =192-80-2\\\\3x^3-5x^2-x+3 =110[/tex]
Therefore, the value of the expression [tex]3x^3-5x^2-x+3[/tex] when x = 4 is 110
Learn more here: https://brainly.com/question/25691329
What is the product?
(4y − 3)(2y2 + 3y − 5)
8y3 + 3y + 15
8y3 − 23y + 15
8y3 − 6y2 − 17y + 15
8y3 + 6y2 − 29y + 15
Answer:
the last one
Step-by-step explanation:
How do you do this, because I really do not know how to do this and plz explain how to do this
Answer:
A
Step-by-step explanation:
the leading degree(the biggest power in the function) x^4 and the leading coefficient is the number next to the highest power which is -5
so the answer should be
-5,4,x -> infinity, f(x) -> -infinity ; x -> -infinity, f(x) -> -infinity
when you get asked questions like this look for the biggest power and the number next to it. if the power is even x will always be positive if its odd x can be either positive or negative it depends on restrictions.
for instance in this example -5 * x^4 will always give you negative because -5 will multiply with a positive number x (the power is even so its always positive)
PLEASE HELP ME PLEASE
The height of a tree is 8.2 meters.
What is the tree's height in centimeters?
Answer:
820 centimeter :3
Step-by-step explanation:
8.2 meters
move the decimal back twice because of KiloHecaDecaBase (m,l,g)DeciCentiMilli
As we know 1 meter is equal to 100 centimeters so the height of the tree 8.2 meters is equal to 820 meters
What is unit conversion?The same attribute is expressed using a unit conversion but in a different unit of measurement.
For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles.
Measurements are frequently offered in one set of units, like feet, but are required in another set, like chains.
A conversion factor is a mathematical equation that facilitates an equal exchange of feet for chains.
Given, The height of a tree is 8.2 meters, now we know 1 meter is equal to 100cm so to convert some quantity from meters to centimeters we multiply by 100.
∴ 8.2 meters is equal to (8.2×100) = 820 centimeters.
learn more about unit conversion here :
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#SPJ5
Yo help 20 points plssssssssssssss
Answer:
Up up up up up up up up up up
The functions r and s are defined as follows.
r(x) = -x +1
s(x)=2x2-1
Find the value of r(s(4)).
numeral composition of functions
Answer:
.........................................
i will give crown if answered right i just need to check my work
Answer:
9x(3x-2) (3x+2)
Step-by-step explanation:
[tex]81x^{3}-36x[/tex]
9(9x³ - 4x)
9x(9x² - 4)
Since both terms are perfect squares factor using the difference of squares formula, a² - b² = (a + b) (a - b)
Therefore, 9x(3x-2) (3x+2)
Answer:
81z^3-36z = 9z(3z-2)(3z+2)
Step-by-step explanation:
(81z^3-36z)=9z(9z^2-4)
9z(9z^2-4)=9z(3z-2)(3z+2)
81z^3-36z=9z(3z-2)(3z+2)
81z^3-36z=9z(3z-2)(3z+2)
ILLA
2. Miles makes $14 per hour but has to pay $55 for his cell
phone bill.
miles had to work 4 hours to pay his phone bills and he had 1$ left over
Answer:
i dont know
Step-by-step explanation:
what question are you asking?
Please help meeeeeeeeeeeeee
Answer:
-47
Step-by-step explanation:
First term in the sequence is given as 30. The common difference (difference between first term and next term) is -7. Since we are looking for the 12th term we can do 30 - (11 * -7) = -47. It's 11 * -7 because we already are given one term in the problem statement.
What is the value of X?
Answer:
45 i think
if not 54
I'm pretty sure it's 45
hope this helped :)
