Answer:
You know that the total number of persons is 20 , so every person shakes hands with 19 persons.. It then mean that, there are 20×19=380 handshakes. But by every handshake two persons are involved. Therefore, 380 is the result of double-counting, which gives 190 handshakes.Step-by-step explanation:
Hope this helpsA scientist needs 10 liters of a 20% acid solution for an experiment, but she has only a 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the 5% and the 40% solutions should she mix to get the solution she needs? Write and solve an equation to match the situation.
Answer:
5% solution needed = 5.7 liters
40% solution needed = 4.3 liters
Step-by-step explanation:
Let the amount of 5% solution is needed = x liters
And the amount of 40% solution is needed = y liters
Concentration of the final solution = 20%
5x + 40y = 20(x + y)
x + 8y = 4(x + y)
4y = 3x
x = [tex]\frac{4}{3}y[/tex] -------(1)
Total volume of the final solution needed = 10 liters
Therefore, x + y = 10 --------(2)
Now substitute the value of x from equation (1) to equation (2).
[tex]\frac{4}{3}y+y=10[/tex]
[tex]\frac{7}{3}y=10[/tex]
y = 4.3 liters
From equation (2),
x + 4.3 = 10
x = 5.7 liters
17+7j=87
What does j equal???????
Answer:
j=10
Step-by-step explanation:
17+7j=87
7j=70
j=10
Please help me out with this! *It's just an extra practice assignment :)
Answer:
t and r are parallels
t and p are perpendicular
Step-by-step explanation:
r and t have the same coordinates 4,1 but one has a negative 4 and 1
t and p have a dot on the same spot
2. Select the situation below that result in zero. * 0 points A. A diver is at sea level, reaches a depth of 6 ½ feet and descends 6 ½ feet. B. The temperature on a cold day starts at 0 degrees Celsius, falls 4 degrees, and then rises 4 degrees.B. The temperature on a cold day starts at 0 degrees Celsius, falls 4 degrees, and then rises 4 degrees. C. A carbon atom has 6 negatively charged electrons and 6 positively charged protons. D. A person has a bank balance of negative $325.50 and makes a withdrawal of $325.50. E. B and C only
Answer: B and C only
Step-by-step explanation:
The temperature on a cold day starts at 0 degrees Celsius, falls 4 degrees, and rises 4 degrees
Initial temperature = 0
Temperature rise = 4
Fall in temperature = - 4
(Initial temperature + rise in temperature + fall in temperature)
Summing all : (0 + 4 - 4) = 0
carbon atom has 6 negatively charged electrons and 6 positively charged protons.
Net charge of atom :
(number of proton + number of electrons)
( 6 + (-6)) = 0
I really need help :( I would really appreciate it:)
Answer:
3,32,6,56
Step-by-step explanation:
if Sam has 200$ and gives her mom 20$ to go get her some clothing. her mom comes back and gives Sam 9$. how much did her mom spend?
Answer:
her mom spent 11 dollars
Step-by-step explanation:
20-9 is 11
Answer:
Her mom spent $11
Step-by-step explanation:
$20-9= $11
need help!!!!
6(x+3)=2x-64
6 + 1 8 = 2 - 6 4
Distribute.
Answer:
x= -20.5
Step-by-step explanation:
6x + 18 = 2x -64
-18 from both sides
6x = 2x - 82
-2x from both sides
4x = -82
divide by 4 on both sides
x= -20.5
How many 3/20 inch lengths are in 5 2/5 inches?
Answer:
0.81
Step-by-step explanation:
Math
Jim baked 24 cupcakes for the upcoming bake sale. He also bought drinks.
Which sets below are factor pairs of 24?
A (3,6)
B (4.6)
C (6,8)
D (1, 24)
E (38)
Click Submit below if you want to finish the test and see the results
Save and Exit
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
26 27 28
ALGEBRA 2 PLS HELP ME use square root to answer btw
Answer:
factor x+7 (so (x+7)(x+7)) and then solve like a normal equation
Please help me!!!
Michael's parents doubled his pocket money. His sister paid $1 for ice-cream from her pocket money and he paid $3 of his poket money for an new toy. After making these payments, they have the same money left. If his sister's pocket money is $6, what was Michael's pocket money before doubling it?
1. How much money did they together have after making the payments?
2. How much money did Michael have after his pocket money was doubled. Find the value of x.
3. How much did Micheal's sister have before making the payment?
(ONLY THE ANSWER)
Answer:
x = $4
1. $10
2. $8
3. $6
Step-by-step explanation:
Let
Michael's doubled pocket money = 2x
He spends $3
Balance = 2x - 3
His sister's pocket money = $6
She spends $1
Balance = $6 - $1
= $5
2x - 3 = 5
2x = 5 + 3
2x = 8
x = 8/2
= 4
x = $4
After making the payments, they both together have $10
After Michael's pocket money was doubled, he has 2x
= 2(4)
= $8
His sister's has $6 before making the payments
What is the value of x
Answer: 2x= 40 so 2x20=40
Step-by-step explanation:every triangle has to add up to 180 digrees
65+75+40=180
1. You decide to buy some new clothes. The subtotal comes to $123.79, but
you have a 15% off coupon. What is the total you will spend? *
Answer:
$105.22
Step-by-step explanation:
Van bought a 16-pound bag of dog food. His dog ate of the food. How many pounds of dog food did the dog eat?dogs with dog food it's a doggy
Answer:
The answer is 13 pound of dog food
Step-by-step explanation:
Here is your explanation 16 is a even
number and you can put it in 13 because
13+ 13 =16
determine the unit rate for each ratio.
The gas station charges $180 for 3 hours of work. How much
they charge for 1 hour of work?
Answer:
$60
Step-by-step explanation:
You have to divide 180 by 3 to get the cost per hour :)
Rewrite by completing the square 2x^2+7x+6=0
Answer:
[tex]2x^2+7x+6=0\\\\2(x^2+\frac72x+3)=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2-(\frac74)^2+3]=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2]-2(\frac74)^2+6=0 \\\\2(x+\frac74)^2-2\cdot\frac{49}{16}+6=0\\\\2(x+\frac74)^2-\frac{49}8+\frac{48}8=0\\\\2(x+\frac74)^2-\frac18=0[/tex]
Answer:
(x+7/4)^2=1/16
Step-by-step explanation:
HELP ASAP PLS, matching sequence to its recursive formula
Four friends all use $10 off coupons to buy themselves concert tickets.
They spend a total of $216. What is the price of one concert ticket without
the coupon? create an equation and solve
Answer:
$64
Step-by-step explanation:
Since there were 4 of them and the coupons were $10 off, they saved a total of $40
To find how much they would have spent without the coupons, add 40 to 216:
216 + 40
= 256
To find the normal cost of one ticket, divide this by 4:
256/4
= 64
So, the price of one concert ticket without the coupon is $64
Which statement is true for the values of P and Q on this number line? P Q + + + + -2 -1 0 1 -6 -5 -4 لی A) ?>4 (B) PxQ< 5 CP+Q>-4 D P-Q > 0
Answer: B
Step-by-step explanation:
PLEASE ANSWER FAST WILL GIVE BRAINILY
Write an equation or inequality to represent the relationship "three
times a number decreased by 12 is equal to -18". Then solve.
a. Equation :
b. Answer:
Answer:
a. 3x-12= -18 b. x=-2
Step-by-step explanation:
A triangle on the coordinate plane has points located at a (2,5), b (5,9), and c (8,5). What is the area of the triangle. 
Answer:
The area of the triangle is 12 unit²
Step-by-step explanation:
The vertices of the triangle are;
a(2, 5), b(5, 9), and c(8, 5)
The area of a triangle given coordinates can be given by the following determinant;
[tex]\Delta = \dfrac{1}{2}\begin{vmatrix}x_1 & y_1 & 1\\ x_2 & y_2 & 1\\ x_3 & y_3 & 1\end{vmatrix} = \dfrac{1}{2} \left | x_{1}\cdot y_{2} - x_{2}\cdot y_{1} + x_{2}\cdot y_{3} - x_{3}\cdot y_{2} + x_{3}\cdot y_{1} - x_{1}\cdot y_{3}\right |[/tex]
Therefore, we have;
[tex]\Delta = \dfrac{1}{2}\begin{vmatrix}2 & 5 & 1\\ 5 & 9 & 1\\ 8 & 5 & 1\end{vmatrix} = \dfrac{1}{2} \left | 2\times 9 - 5\times 5 + 5\times 5 - 8\times 9 + 8\times 5 - 2\times 5 \right |[/tex]
Utilizing an online determinant calculator, we have;
[tex]\dfrac{1}{2} \times \left | -12 \right |= 12[/tex]
Therefore, the area of the triangle is 12 unit².
you are a contractor installing a brick sidewalk. The portion of the sidewalk will occupancy and area of 100 feet long by 4 feet wide. Each brick will occupy and area 8 inches long by 4 inches wide what is the minimyn nuber of bricks will you need to occupy this area
Answer:
1800 bricks
Step-by-step explanation:
Given
Sidewalk = 100ft by 4ft
Brick = 8 inches by 4 inches
Required
Determine the minimum number of bricks
First, we need to determine the area of both;
[tex]Sidewalk = 100ft * 4ft[/tex]
[tex]Sidewalk = 400ft^2[/tex]
[tex]Brick = 8in * 4in[/tex]
[tex]Brick = 32in^2[/tex]
Number of bricks is calculated as follows;
[tex]Number = \frac{Sidewalk}{Brick}[/tex]
[tex]Number = \frac{400ft^2}{32in^2}[/tex]
Convert ft^2 to in^2
[tex]Number = \frac{400 * 144in^2}{32in^2}[/tex]
[tex]Number = \frac{57600in^2}{32in^2}[/tex]
[tex]Number = 1800[/tex]
XY−→− bisects ∠WXZ and m∠WXY=29∘. Find m∠ZXY and m∠ZXW.
Answer:
29° and 58°
Step-by-step explanation:
Since XY bisects ∠ WXZ then ∠ WXY and ∠ ZXY are congruent, thus
∠ ZXY = ∠ WXY = 29°
∠ ZXW = ∠ WXY + ∠ ZXY = 29° + 29° = 58°
Mariah took 4 quizzes in her class during the past month. Her scores were 92, 94, 100, and 83. What was her mean quiz score?
Answer:
Her mean quiz score is 92.25%.
Answer:
92.25
Step-by-step explanation:
Mean is the same as average. Add all the scores together and then decide by the number of scores.
(92+94+100+83)÷4
369÷4=92.25
If I invest 100$ into a savings account at a 3% interest can I afford my item in 10 years my item is 999.99
Answer:
Compound interest allows your savings to grow faster over time. In an ... Note that high-interest savings accounts earn money faster than accounts with lower yields. ... When you invest in the stock market, you don't earn a set interest rate.
Step-by-step explanation:
i need with help again (-70)-(-7)
If h(x) = -4x - 10, find h(-5).
0-30
01.25
O 10
0-1
Answer:
h(-5) = 10
Step-by-step explanation:
h(x) = -4x - 10
Let x = -5
h(-5) = -4*-5 - 10
= 20 -10
= 10
3x-5=x+1
Helpppppppppppp
Answer:
your answer is x= 3
Hope this helps!
8p+5=-6p+1 what's the answer to this equation?
Answer:
-2/7
Step-by-step explanation:
Determine whether the pair of lines is parallel, perpendicular, or neither.
x - 4y = -9
y = 6x - 7