for the rectangular red paper :
w₁ = width of the red paper = 4 cm
L₁ = length of red paper = 2 w = 2 x 4 = 8 cm
A₁ = area of the red paper = L₁ w₁ = 8 x 4 = 32 cm²
for the rectangular blue paper :
w₂ = width of the blue paper = 3 cm
L₂ = length of blue paper = 7 cm
A₂ = area of the blue paper = L₂ w₂ = 7 x 3 = 21 cm²
area visible is given as
A = A₁ - A₂ = 32 cm² - 21 cm² = 11 cm²
so 11 square units of red paper will be visible on top
Select all the possible solutions for 2x +7 < 3x-5
Solution :
We have to find all the possible solutions for the inequality [tex]2x+7<3x-5[/tex].
The given inequality can be solved as,
Subtracting 7 from both side , we get
[tex]2x+7-7 < 3x-5-7\\\\\Rightarrow 2x<3x-12[/tex]
Now, Subtracting 3x from both side, we get
[tex]2x-3x<3x-12-3x\\\Rightarrow -x <-12\\[/tex]
As we here we can see that both sides have similar sign, so we can cancel them out.
[tex]\Rightarrow x < 12[/tex]
Hence, the possible solution of the inequality [tex]2x+7<3x-5[/tex] is [tex]x< 12[/tex]
Can somebody help me with this I need help ASAP
Answer:
D. 300/3 = 100
Step-by-step explanation:
He needs to divide the number by 3 since he is placing 3 erasers in each bag. He needs to divide 280 by 3. 280 divided by 3 is not a choice. The closest choice is 300/3, so that is the correct answer.
What are fact family's for 4,9,36
4 x 9 = 36
9 x 4 = 36
36/9 = 4
36/4 = 9
PLEASE HELP!! WILL MARK BRAINLIEST! NO ONE HAS BEEN ABLE TO HELP!
Answer: A
Step-by-step explanation:
Let us first observe behavior in only quadrant 1 .
On x-axis one small box represent one year.
On y-axis one small box represent one dollar.
If we see the 1 year on x-axis its corresponding value of dollar on y -axis is in mid of 4 dollars and 5 dollars.
Now if we see the 2nd year on x-axis its corresponding value of dollar on y-axis is at 6 dollars .
It concluded that after each year 0.5 dollars per pound increases.
We can see the same behavior throughout the straight line.
Solve the equation 4c^2+7c-5=0 using the quadratic formula.
[tex]c = \frac{-7+\sqrt{129} }{8} ,\frac{-77-\sqrt{129} }{8}[/tex]
140 students are going in a field trip. They fill up a total of 4 buses equally. How many students are on each bus?
Your answer is 35
Hope this helps
Use the substitution method to solve the system of equations. Choose the correct ordered pair. 3x-y=3 y=2x+2
We have been given that
3x - y = 3 and
y = 2x + 2
Substitute y = 2x + 2 in the first equation, we get,
3x - (2x + 2) = 3
3x - 2x - 2 = 3
x - 2 = 3
x = 5
y = 2x + 2
= 2(5) + 2
= 12
Hence, the solution is (5, 12).
Answer:
B. (5,12)
Step-by-step explanation:
APEX
Which proportion correctly shows the equivalence of two ratios?
A. 2:3=27:18
B. 14:35=7:2
C. 4:5=32:40
D. 13:39=6:2
C. 4:5=32:40 is your answer
Treat each ratio like fractions. Note the equal sign. This means that, when each fraction is simplified, they would be the same.
4/5 = 4/5
(32/40)/(8/8) = 4/5
4/5 = 4/5
∴ (C) is your answer
~Rise Above the Ordinary, Senpai
Write an expression for the following a. One more than twice a number b. A number decreased by 6 c. Two-thirds of a number
a= 1+2b, b=1-6, c=2/3d. Hope this helps, I used D as a number in C you don't have to use d.
Solve 24 - 3 x = -27
Answer,
X = 17Explanation,
Step 1: Simplify both sides of the equation
24 − 3x = −27
24 + −3x = −27
−3x + 24 = −27
Step 2: Subtract 24 from both sides.
−3x + 24 − 24 = −27 − 24
−3x = −51
Step 3: Divide both sides by -3.
-3x/-3 = -51/-3
X = 17
Hope this helps :-)
sherman has 3 cats and 2 dogs.he wants to buy a toy for each of his pets. sherman has $22 to spend on pet toys.how much can he spend on each pet?write your answer as a fraction ans as an amount in dollars and cents
your correct answer is 4.27 so 4.27/22
Mr.santino needs a total of 406 forks for his restaurant. He currently has 278 forks .15 if each set has 12 forks ,what is the minimum number of sets of forks he should buy?
he should buy 11 sets of forks, hope this helped! <3
Two jets leave an air base at the same time and travel in opposite directions. One jet travels 60 /mih faster than the other. If the two jets are 7848mi apart after 6 hours, what is the rate of each jet?
The speed of the slower jets and faster jets are 624 mi / Hr and 684 mi/hr respectively.
What is speed?Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.
Let the speed of a slower jet be represented as 'x'
Now Given:
one jet travels 60 mph slower than the other.
Hence Speed of a faster jet will be = x + 60
Distance = 7848 miles
Time = 6 hrs
Now we know that;
Distance is equal to the product of speed and time.
Framing in the equation we get;
Distance = (Speed of Faster Jet + Speed of Slower jet) × Time.
Substituting the given values we get;
7848 = ( x + x + 60 ) 6
7848 = 12x + 360
x = 624
Speed of slower jet = 624 miles/hr
Speed of faster jet = 624 + 60 = 684 miles/hr
Hence Speed of the Faster jet is 684 miles/hr and the speed of the slower jet is 624 miles/hr.
To know more about Speed follow
https://brainly.com/question/6504879
#SPJ2
number 3.simplify 24cd/c
The answer is 24d because you have to simplify d_c first then you have 24c x d_c and then c cancels itself out so the answer is 24d.
Find the missing term.
The roots of x² − ( ) + 34 are 5 ± 3i.
[tex]x^2-?+34=(x-(5+3i))(x-(5-3i))\\\\x^2-?+34=(x-5-3i)(x-5+3i)\\\\x^2-?+34=(x-5)^2+9\\\\x^2-?+34=x^2-10x+25+9\\\\x^2-?+34=x^2-10x+34\\\\\boxed{?=-10x}[/tex]
Answer:
Actually is 10x
Step-by-step explanation:
-10x gives you -5±3i
The area of a certain state is 840,000 miles. what is this area in scientific notation
8.4 x 10^-4
84 x 10^-3
84 x 10^3
8.4 x 10^5
Plz help asap!!!!
The answer is D the last one.
Help me to answer now ineed this
Please...
Can anyone help me? I’m really stuck.
the answer for A is
7 1/2+8+6 3/4+5 1/2+6 1/4
the answer for B is
10.50 times 34/7 is equal to 51
2.
the answer for A is
9 hours, 50 minutes
the answer for B is
50.80
If I have two lines, will they cross? What postulate helps me answer this question?
What equation represents this sentence?
18 less than the product of a number and 9 is 14.
18 - (9 x 14) This equation represents the sentence.
hope that helps :)
Solve each component inequality and graph the solution
[tex]x > 2 and \: x - 1 \leqslant 10[/tex]
Solution: The value of x after solving both components is [tex]2<x\leq11[/tex] or [tex](2,11][/tex].
Explanation:
From the first component it is clearly noticed that the value of x is greater than 2.
Simplify the second component.
[tex]x-1\leq 10\\x\leq 11[/tex]
From the above inequality it is clearly noticed that the value of x is less than or equal to 11.
Solving both components we get [tex]2<x\leq11[/tex] and the graphical representation is shown in the figure.
The red portion shows the solutions of [tex]x>2[/tex], blue portion shows the solution of [tex]x-1\leq 10[/tex] and purple portion which combination of red and blue portion shows the solution of both inequalities.
Therefore, value of x after solving both components is [tex]2<x\leq11[/tex] or [tex](2,11][/tex].
The sum of 4 times a number and 7 is equal to 5
The question presents a basic algebraic problem. We translate the words into a mathematical equation, 4x + 7 = 5. After some simple manipulations (subtracting 7 from both sides and dividing the result by 4), we find that the value of x is -0.5.
Explanation:The question presents a typical example of a simple equation in Mathematics. The first step in solving this problem involves interpretation. The statement 'The sum of 4 times a number and 7 is equal to 5' can be translated into this equation: 4x + 7 = 5. To obtain the value of x, we need to isolate it on one side of the equation.
We can proceed by subtracting 7 from both sides
to achieve 4x = -2. Finally, we divide both sides of the equation by 4 to obtain x = -0.5. Thus, the number in question is -0.5.
https://brainly.com/question/32436021
#SPJ2
Find the value of a if x=3 is a solution to the equation x/a=7
The difference between two numbers is 15. If 8 is added to twice the greater number, the result is 4 less than 3 times the lesser number. Find the two numbers.
x - y = 15
2x + 8 = 3y - 4
Using the first equation, we can get an approximate value for x.
x = 15 + y
Now that we have a value for x, we can replace it in the second equation to find the value of y.
2(15 + y) + 8 = 3y - 4
Distributive property.
30 + 2y + 8 = 3y - 4
Combine like terms.
38 + 2y = 3y - 4
Subtract 2y from both sides.
38 = y - 4
Add 4 to both sides.
y = 42
Now that we have the value of y, we can find the value of x.
x - 42 = 15
Add 42 to both sides.
x = 57
The first step in solving 5 1/2 = 2 2/7 + n/4 is to subtract 2 2/7 from both sides of the equation. true or false
Answer:
Step-by-step explanation:
the answer you are looking for is TRUE
you want to get that side so there is only the coefficient
*please mark as brainliest*
Answer: TRUE
Step-by-step explanation:
The answer using Pythagorean theorem
h^2 = b^2+p^2
21^2 = 17^2+x^2
441 = 289 + x^2
441-289 = x^2
122 = x^2
square root of 122 is x.
therefore, x= 11.04536102.
Answer: 12.32 is the answer.
Step-by-step explanation: Using the pythagorean thereom we can solve this by using the formula A^2+B^2=C^2.
We substitute in the values,
17^2+B^2=21^2.
Now we simplify.
289+B^2=441
We subtract the 289 from both sides,
B^2=152
Now we use square root to find the answer.
12.32 is the answer.
Hope this helps!
John invests a sum of money in a retirement Account with fixed annual interest rate of 2.63% compounded continuously.After 15 years the balance reaches 1,912.41.What was the amount of initial investment
Answer: The amoun of the initial value was $1,289.
Step-by-step explanation:
1. To solve this problem you must apply the formula shown below:
[tex]A=Pe^{rt}[/tex]
Where:
- [tex]A[/tex] is the account balance ([tex]A=1,912.41[/tex]).
- [tex]P[/tex] is the principal.
- [tex]r[/tex] is the annual interest ([tex]r=0.0263[/tex]).
- [tex]t[/tex] is the time in years ([tex]t=15[/tex]).
- [tex]e[/tex]=2.7182
2. You must substitute the values into the formula and then you must solve for [tex]P[/tex], as following:
[tex]1,912.41=Pe^{(0.0263)(15)}\\1,912.41=1.48P\\P=\frac{1,912.41}{1.48}\\P=1,289[/tex]
Answer:
$ 1,289
Step-by-step explanation:
p= 1289
A theater can seat 120 people. The number of rows is 7 less than the number of seats in each row. How many rows of seats are there?
Let x be the number of rows.
If the number of rows is 7 less than the number of seats in each row, then the number of seats in a row is x+7. The total number of seats is
x·(x+7).
You know that a theater can seat 120 people, then
x·(x+7)=120.
Solve it:
[tex]x^2+7x-120=0,\\\\D=7^2-4\cdot (-120)=49+480=529,\ \sqrt{D}=23,\\\\x_1=\dfrac{-7+23}{2}=8, \ x_2=\dfrac{-7-23}{2}=-15.[/tex]
The number of rows must be positive, then x=8.
Answer: there are 8 rows with 15 seats at each.
Darian is multiplying 3/4 by 1/2
3/8 is the right answer to that question
The answer to 3/4*1/2 is
0.375
how to determine if its a proportional
You have to see if they are all moving up at a constant rate. You can check this by subtracting $17.40 from $21.75. It is $4.35. Then multiply $4.35 by 46. If it is not equal to $200.10, then it is not a proportional relationship. When you multiply it, you actually do get $200.1, which is equal to $200.10. So this is a proportional relationship.