Answer: The answer is 60.
Step-by-step explanation: To determine this, we need to square root the number in question. In this case, that’s 3600.
The square root of 36 is 6, so the square root of 3600 is 60, following the rules of zeros.
I hope this helps!
Find the probability of this event. Enter each answer as a fraction in simplest form, as a decimal, and as a percent. You draw one card at random from a shuffled deck of 52 playing cards. The deck has four 13−card suits (diamonds, hearts, clubs, spades). The card is a heart or a spade.
The probability expressed as a fraction is ____
The probability expressed as a decimal is ____
.
The probability expressed as a percent is_____
given:3x + y = 1. Solve for y.
Answer:
Step-by-step explanation:
y= -3x+1
you use inverse operations, and since you want the y alone, you subtract 3x on both sides, giving you y= -3x+1
Identify which equations have one solution, infinitely many solutions, or no solution.
Let's label them 1-6, for convenience.
1. 1 solution (a positive # of ys equaling a positive constant)
2. Infinitely many solutions (You get 0=0 if you completely simplify)
3. No solution (take out the 3z's; 2.5 doesn't equal 3.2)
4. Infinitely many solutions (take out the 3/4 x; 1.1+2 = 3.1)
5. No solution (take out the 4.5r; 0 doesn't equal 3.2)
6. 1 solution (x = 3 1/2)
Answer:
1) [tex]\frac{1}{2}y+\frac{32}{10}y=20[/tex] One solution
2)[tex]\frac{15}{2}+2z-\frac{1}{4}=4z+\frac{29}{4}-2z[/tex] Infinite Number of Solutions
3) [tex]3z+2.5=3.2+3z[/tex] No solution.
4) [tex]1.1+\frac{3}{4}x+2=3.1+\frac{3}{4}x[/tex] Infinitely Many Solutions
5) [tex]4.5r=3.2+4.5r[/tex] No solution
6) [tex]2x+4=3x+\frac{1}{2}[/tex] One solution
Step-by-step explanation:
Equations may have exactly one solution, uncountable solutions or even no possible solution when the solution is a contradiction and this solution is never true.
1) [tex]\frac{1}{2}y+\frac{32}{10}y=20[/tex] One solution Let's prove it by solving it:
[tex]\frac{1}{2}y+\frac{32}{10}y=20\Rightarrow \frac{37}{10}y=20\Rightarrow 10*\frac{37}{10}y=20*10\\37y=200\Rightarrow \frac{37}{37}y=\frac{200}{37}\Rightarrow y=\frac{200}{37}\Rightarrow S=\left \{ \frac{200}{37} \right \}[/tex]
2)[tex]\frac{15}{2}+2z-\frac{1}{4}=4z+\frac{29}{4}-2z[/tex] Infinite Number of Solutions because infinitely many solutions satisfies for z.
[tex]\frac{15}{2}+2z-\frac{1}{4}=4z+\frac{29}{4}-2z\\\frac{29}{4}+2z=\frac{29}{4}+2z[/tex]
3) [tex]3z+2.5=3.2+3z[/tex] No solution. There's no way to add 2.5 to 3z and have the same amount as adding 3.2 to 3z. This is contradiction. This is a false equality.
4) [tex]1.1+\frac{3}{4}x+2=3.1+\frac{3}{4}x[/tex] Infinitely many solutions. This equation has infinitely many solutions since the left side is equal to the right side, any value plugged in x may result in many solutions.
5) [tex]4.5r=3.2+4.5r[/tex] No solution Similarly, again. There's no way of adding 3.2 to 4.5r being equal to 4.5r. Another contradiction. This is a false equality.
6) [tex]2x+4=3x+\frac{1}{2}[/tex] One solution
[tex]2x+4=3x+\frac{1}{2}\\2x+4-2x=3x+\frac{1}{2}-2x\\4=x+\frac{1}{2}\\4-\frac{1}{2}=x\Rightarrow x=\frac{7}{2}\Rightarrow S=\left \{ \frac{7}{2} \right \}[/tex]
Since we can see on the left side different expressions than on the right side. All that is left is doing the test, by solving it.
Using the distributive property, remove the parentheses
10c^4(9-8c^2)
Also simplify
[tex]Use:\\\\a(b-c)=ab-ac\\\\a^n\cdot a^m=a^{n+m}[/tex]
[tex]10c^4(9-8c^2)=(10c^4)(9)-(10c^4)(8c^2)=90c^4-80c^{4+2}\\\\=\boxed{90c^4-80c^6}[/tex]
What is the total amount of sap the trees produced that day?
Each "x" represents one tree that produced that amount of sap in gallons.
To find the total amount of sap produced, add all of the amount of sap produced from each tree
3 trees produced 1/4 gallons of sap
2 trees produced 3/8 gallons of sap
4 trees produced 5/8 gallons of sap
1 tree produced 1 gallon of sap
You can do this:
[tex]\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{3}{8}+\frac{3}{8} +\frac{5}{8}+\frac{5}{8}+\frac{5}{8}+\frac{5}{8}+1[/tex]
[tex]=\frac{3}{4}+\frac{6}{8}+\frac{20}{8}+1[/tex]
[tex]\frac{3}{4}+\frac{26}{8}+1[/tex] Make all the denominators the same
[tex]\frac{6}{8}+\frac{26}{8}+\frac{8}{8}=\frac{40}{8}=5[/tex]
5 gallons
Or you could have done:
[tex](\frac{1}{4} *3)+(\frac{3}{8}*2)+(\frac{5}{8}*4)+(1*1)[/tex]
[tex]=\frac{3}{4}+\frac{6}{8}+\frac{20}{8}+1[/tex]
[tex]\frac{3}{4}+\frac{26}{8}+1[/tex] Make all the denominators the same
[tex]\frac{6}{8}+\frac{26}{8}+\frac{8}{8}=\frac{40}{8}=5[/tex]
5 gallons
Answer:
5 gallons
Step-by-step explanation:
because if u add all togather u get 6/8+26/8+8/8+40/8= It would be 5 Gallons
(18 points)Hiiii guys! I will love you forever if you answer this question. And to save you some time you don’t have to show any work! Q: Patrick’s favorite shade of purple paint is made w/ 4 oounces Blue paint for every 3 ounces of red paint. Which of the following paint mixtures Will create the same shade of purple? Choose 2 answers if you would♾
It takes 4 ounces of blue paint and 3 ounces of red paint to make Patrick's favorite shade of purple.
Multiply the numbers by 2. This will not affect the proportion. Thus, the new statement will be true respect to the original one.
It takes 8 ounces of blue paint and 6 ounces of red paint to make Patrick's favorite shade of purple. That's answer choice B.
Multiply the original numbers by 5. Again, this will not affect the proportion, meaning that the statement will remain true.
It takes 20 ounces of blue paint and 15 ounces of red paint to make Patrick's favorite shade of purple. This is answer choice D.
Thus, the answers are answer choices B and D.
The red thermos contains 7 pints of lemonade. The orange thermos contains 4 quarts of lemonade. Which thermos contains more lemonade?
Answer:7 pints is more than 4 quartz
Step-by-step explanation:
One pint is the equivalent to 0.5 quartz.
Is a quadratic sequence (2,3,6,11) arithmetic, geometric, or neither?
Answer:
Neither
Step-by-step explanation:
It's neither. The terms do not differ (which means you add the same number to each term) by any constant amount. (Arithmetic)
The terms do not have a common number that you multiply the present term to get the next term. (Geometric)
So this one is neither.
(45 points for a simple math problem.) Determine the percent of change between 36 and 72. (Show your work please.)
Answer:
100%
Step-by-step explanation:
Use the equation:
percent of change= [New-Old]÷Old×100100=(72-36)÷36×100
How do you find a sum of a square root?
You can add two square roots of the numbers if the numbers are the same:
[tex]\sqrt{a}+\sqrt{a}=2\sqrt{a}\\\\n\sqrt{a}+m\sqrt{a}=(n+m)\sqrt{a}\\\\\sqrt{a}+\sqrt{b}=\sqrt{a}+\sqrt{b}[/tex]
Final answer:
To find the sum of square roots, you can add the square roots together if the numbers underneath are the same. If the numbers are different, you cannot simplify them further.
Explanation:
To find the sum of a square root, you need to add the square roots together. However, the numbers under the square roots must be the same. For example, if you have √2 + √2, you can add them to get 2√2. But if you have √2 + √3, you cannot simplify it any further.
Another way to find the sum of square roots is to simplify them using the multiplication property. For example, if you have √2 + 2√2, you can combine them as (1+2)√2 = 3√2.
It is important to note that you can only add square roots with the same number underneath. If the numbers are different, you cannot simplify them further.
Graph the equation 3x+2y=12
It's a linear function. We need only two points to the plotting of the graph.
[tex]3x+2y=12\qquad\text{subtract 3x from both sides}\\\\2y=-3x+12\qquad\text{divide both sides by 2}\\\\y=-\dfrac{3}{2}x+6\\\\for\ x=0\to y=-\dfrac{3}{2}(0)+6=0+6=6\to(0,\ 6)\\\\for\ x=4\to y=-\dfrac{3}{2}(4)+6=-6+6=0\to(4,\ 0)[/tex]
what is half of 7 the whole number
Answer:
3 1/2
Step-by-step explanation:
You have to do 7 divided by 2 or 1/2 x 7
Answer:
Well it normally be 3.5
Step-by-step explanation:
You take seven and divide it by 2 (ps) if you are talking about your answer needing to be a whole answer just round up
Two parallel lines are crossed by a transversal . What is the value of k?
Answer:
k = 60
Step-by-step explanation:
2k + 11 = 131
2k = 131 - 11
2k = 120
k = 60
I hope I helped you.
Winston can drive a total of 248 miles on Monday. He drove 70 fewer miles in the morning that he did in the afternoon. How many miles did he drive in the afternoon?
Winston drove 89 miles in the morning and 159 miles in the afternoon.
Explanation:Let's assume that Winston drove x miles in the morning. Since he drove 70 fewer miles in the morning than he did in the afternoon, he drove (x + 70) miles in the afternoon.
According to the question, he can drive a total of 248 miles in a day. So, we can write the equation: x + (x + 70) = 248
Simplifying the equation, we get: 2x + 70 = 248
Subtracting 70 from both sides, we have: 2x = 178
Finally, dividing both sides by 2, we find: x = 89
Therefore, Winston drove 89 miles in the morning and (x + 70) = 89 + 70 = 159 miles in the afternoon.
Learn more about Winston's daily driving distances here:https://brainly.com/question/29053229
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can someone please help n fast
Answer: 1. D) Exponents 2. A) Addition and subtraction from left to right
Step-by-step explanation: PEMDAS will help you to understand! Remember, first, its parentheses, then exponents (Answer for Question 1), then multiply and divide from left to right, then add and subtract from left to right (Answer for Question 2).
Hope this helped!
Plz mark brainliest!
I need some help now
Answer:
Well 3/5 is .60 and 2/4 is .50 so in these regards she grew .10 more inches then her
Step-by-step explanation:
Answer:
1/10 of an inch taller
Step-by-step explanation:
3/5 2/4
12/20 10/20
2/20= 1/10
which is a solution for 3 > f? f = 7 f = 9 f= 3 f =2?
Answer:
F = 2
Step-by-step explanation: If you want to know which one is a solution, you have to substitute the numbers in for F.
F = 7:
3 > f
3 > 7
This is false because 3 is NOT greater than 7, it is less than 7.
F = 9:
3 > f
3 > 9
This is false because 3 is NOT greater than 9, it is less than 9.
F = 2:
3 > f
3 > 2
This is TRUE because 3 IS greater than 2.
Hope this help you!!! :)
Find the diagonal (d) of the base
Answer:
[tex]4\sqrt{5}\ un.[/tex]
Step-by-step explanation:
The picture shows rectangular prism with rectangular base and heigth h. The dimenssions of base rectangle are l and w.
The diagonal of reactangle with known length l and width w can be calculated using the Pythagorean theorem:
[tex]d^2=l^2+w^2,\\ \\d^2=8^2+4^2,\\ \\d^2=64+16,\\ \\d^2=80,\\ \\d=4\sqrt{5}\ un.[/tex]
The length of a rectangle is 8cm greater than its width. Find the dimensions of the rectangle if it’s area is a 105cm(2)
length = area/width
l = 105/7 = 8
The length of the rectangle is 15.
Help please, what is the measure of angle B in the figure below?
HELP PLZ
Figure ABCD is transformed to figure A′B′C′D′:
Which angle in Figure A′B′C′D′ is equal to Angle DAB.?
a. Angle D prime A prime B prime.
b. Angle A prime B prime C prime.
c. Angle B prime C prime D prime.
d. Angle C prime D prime A prime.ormed to figure A′B′C′D′:
Answer:
a. ∠D'A'B'
Step-by-step explanation:
From the graph it is clear that the transformation doesn't affect the size and shape of the figure ABCD.
Only the coordinates of the points are changed with the length of each side remaining the same.
Hence the corresponding angle values will also remain unaltered.
∴ ∠DAB = ∠D'A'B'
Three hens can lay 3 eggs in 3 days.How many hens would lay 12 eggs in 12 days?
Answer:
144
Step-by-step explanation:
You just multiply 12x12
Solve the problems below. Please answer with completely simplified exact value(s) or expression(s).
a)
In ΔABC, AC = BC, CD⊥AB with D∈AB, AB = 4 in, and CD = 3 in. Find AC.
b)
Given: ΔABC, AB = BC = AC = a. Find: The area of ΔABC
Answer:
a) AC = [tex]\sqrt{13}[/tex]
b) Area = [tex]\frac{\sqrt 3}{4}[/tex] × [tex]a^{2}[/tex]
Step-by-step explanation:
a) From question,
AC = BC, CD⊥AB
Now in ΔCAD and ΔCBD
AC=BC, ∠A = ∠B and AD=BD (because in isosceles triangle perpendicular bisects the side).
then, from SAS potulates
ΔCAD≅ΔCBD
So,
AD = [tex]\frac{AB}{2}[/tex] = [tex]\frac{4}{2}[/tex] = 2 in
From Pythagorean theorem in ΔADC
[tex]AC^{2}[/tex] = [tex]AD^{2}[/tex] + [tex]CD^{2}[/tex]
[tex]AC^{2}[/tex] = [tex]2^{2}[/tex] + [tex]3^{2}[/tex]
[tex]AC^{2}[/tex] = 4 + 9 = 13
AC = [tex]\sqrt{13}[/tex]
b) In given ΔABC,
AB = BC = AC = a, means ΔABC is a equilateral triangle.
So, area of equilateral triangle is
Area = [tex]\frac{\sqrt 3}{4}[/tex] × [tex]side^{2}[/tex]
side = a
then,
Area = [tex]\frac{\sqrt 3}{4}[/tex] × [tex]a^{2}[/tex]
Answer:
a) √7
Step-by-step explanation:
please help me solve this by substitution
-3x - y = -1
x = 4y + 22
Answer:
x=2
y=-5
Step-by-step explanation:
-3(4y+22)-y=-1
-12y-66-y=-1
-13y-66=-1
-13y=65
y=-5
x=4(-5)+22
x=-20+22
x=2
Answer:
y = 5
x = 2
Step-by-step explanation:
So we know what x is already.
x = 4y + 22
Now we plug that in to the first equation.
-3 ( 4y + 22) - y = -1
Distribute the -3.
-12y - 66 - y = -1
Combined like terms:
-13y - 66 = -1
-13y = 65
Divide -13 on both sides:
y = -5
Now plug your y into the second equation:
x = 4(-5) + 22
x = -20 + 22
Simplify:
x = 2
Check your answer:
-6 - (-5) = -1
2 = -20 + 22
A scuba driver wants to descend at an average rate of at least 7 feet per minute for 5 minutes. The table shows how many feet the scuba driver descends in the first 4 minutes. How many feet must the scuba driver descend in the fifth minute to meet the goal?
Answer:
35 because if you multiply youll get hat you need
i hope its correct
Step-by-step explanation:
Gail bought 18 buttons to put on the shirts she makes she uses five buttons for each shirt how many shirts can still make with the buttons she Bought
18/5 is 3.6. You must always round down because you would be using more buttons if you did. So round down 3.6 to get 3.
What is the solution set for -4x - 10 ≤ 2?
Answer:
x > -3
Step-by-step explanation:
- 4x - 10 < 2
+ 10 < + 10
- 4x < 12
-4 -4
x > -3
I think the sign flips because the negative sign is w/the X.... If it doesn't, sorry 4 being wrong...
The solution to the inequality -4x - 10 ≤ 2 obtained by isolating the variable x is x ≥ -3. This includes all real numbers x that are greater than or equal to -3.
Explanation:Let's solve the inequality -4x - 10 ≤ 2 step-by-step.
Add 10 to each side: -4x - 10 + 10 ≤ 2 + 10 which simplifies to -4x ≤ 12.Next, divide each side by -4: -4x / -4 ≥ 12 / -4. Remember, when you divide or multiply by a negative number, you need to reverse the direction of the inequality sign, so it becomes x ≥ -3.Therefore, the solution to -4x - 10 ≤ 2 is x ≥ -3. This means that for any real number x that is greater than or equal to -3, the inequality -4x - 10 ≤ 2 is true.
Learn more about Inequality solution here:https://brainly.com/question/22010462
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Billy graphed the system of linear equations to find an approximate solution. y =-7/4 x +5/2 y =3/4 x – 3
Answer:
[tex](2.2,-1.35)[/tex]
Step-by-step explanation:
we have
[tex]y=-\frac{7}{4}x+\frac{5}{2}[/tex] ------> equation A
[tex]y=\frac{3}{4}x-3[/tex] ------> equation B
Remember that
The solution of the system of equation is the intersection point both graphs
Using a graphing tool
see the attached figure
The intersection point is [tex](2.2,-1.35)[/tex]
Final answer:
To find the approximate solution to the system of linear equations, set the equations equal to each other, combine like terms, simplify, solve for x, substitute the value of x back into either equation to find y, and simplify further. The approximate solution is x = 3/2 and y = -1/8.
Explanation:
Given the system of linear equations:
y = -7/4 x + 5/2
y = 3/4 x - 3
Set the two equations equal to each other:
-7/4 x + 5/2 = 3/4 x - 3
Combine like terms:
2x + 5 - 14 = 6 - 12
Simplify:
2x - 9 = -6
Add 9 to both sides:
2x = 3
Divide both sides by 2:
x = 3/2
Substitute the value of x back into either equation to find the value of y:
y = -7/4 * (3/2) + 5/2
Simplify:
y = -21/8 + 20/8
Add the fractions:
y = -1/8
Therefore, the approximate solution to the system of linear equations is x = 3/2 and y = -1/8.
A bag has 12 red marbles and 6 green marbles. Half of the green marbles are made of plastic. A marble is selected at random from the bag. What is the probability that it is a green, plastic marble? Write your answer as a fraction in simplest form.
Answer:
1/6 is the probability of it being a green plastic marble.
Step-by-step explanation:
Note that there are 18 marbles in all (12 + 6 = 18).
Half of the green marbles (6) are made of plastic: 6/2 = 3
From the information above, we see that 3 green marbles are made of plastic. There are 18 marbles in all.
Divide, and simiplify.
(3/18)/(3/3) = 1/6
1/6 is the probability of it being a green plastic marble.
~
Variables x and y are in direct proportion, and y = 35 when x = 2m. If x = 8m, then y = A) 4.375 B) 8.375 C) 70 D) 140
Answer:
D) 140
Step-by-step explanation:
The equation for direct variation is y= kx
If we know x and y we can solve for k
35 = k*2
Divide each side by 2
35/2 =k
Now the equation for direct variation is
y= 35/2 x
Given x=8 we can substitute in
y = 35/2 * 8
y = 140
Answer: D) 140
(both x and y are multiplied by 4)