The area of the rectangle shown below is 36 square units. Set up and
solve an equation to find the value of x. *
2.5x + 1.5
4
Answers
The equation that can be used to find the value of x is (2.5x+1.5)4=36, and the value of x is 3.
What is the area of a rectangle?The area of a rectangle is the product of its length and breadth. It is given by the formula,
Area of rectangle = Length × width
Given the length of the rectangle is 2.5x+1.5, while the width is 4. Also, it is mentioned in the question that the area of the rectangle is 36 square units. Therefore, we can write the area of the rectangle as,
[tex](2.5 x+1.5) \times 4 = 36\\\\(2.5 x \times 4) +(1.5\times 4) = 36\\\\10x + 6=36\\\\x = \dfrac{36-6}{10}\\\\x = 3[/tex]
Hence, the equation that can be used to find the value of x is (2.5x+1.5)4=36, and the value of x is 3.
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Related Questions
x^2-5x-6
X^2+3x-40
x^2-7x-30
Answers
Assuming that these are seperate equations:
Problem 1: x^2-5x-6Problem 2: x^2+3x-40Problem 3: x^2-7x-30GROUPING (TOPIC)Problem 1:
1) Use the sum-product pattern.
x² - 5x - 6
x² + x - 6x - 6
2) Common factor from the two pairs.
x² + x - 6x - 6
x (x + 1) - 6 (x + 1)
3) Rewrite in factored form.
x (x + 1) - 6 (x + 1)
(x - 6) (x + 1) ----> Answer
Problem 2:
1) Use the sum-product pattern.
x² + 3x - 40
x² + 8x - 5x - 40
2) Common factor from the two pairs.
x² + 8x - 5x - 40
x (x + 8) - 5 (x + 8)
3) Rewrite in factored form.
x (x + 8) - 5 (x + 8)
(x - 5) (x + 8) ----> Answer
Problem 3:
1) Use the sum-product pattern.
x² - 7x - 30
x² + 3x - 10x - 30
2) Common factor from the two pairs.
x² + 3x - 10x - 30
x (x + 3) - 10 (x + 3)
3) Rewrite in factored form.
x (x + 3) - 10 (x + 3)
(x - 10) (x + 3) ----> Answer
Cheers,
ROR
In rectangle ABCD, find x and y.
Answers
Step-by-step explanation: 6y=3× +21
6y-6=2× +20
Opposite sides of the rectangle are equal
Substitute 3x +21 into 6y in the second equation.
5. Gina performed an experiment by rolling small steel balls of different masses down a
ramp and recording the distance that each ball rolled.
Gina wants to draw a line of best fit to represent the data. Through which two points
should she draw the line?
Answers
Answer:
the answer is h and L
Step-by-step explanation:
The volume of this cube is 125 cm³. What is the length of each side?
Answers
Answer: 5
Step-by-step explanation: A cube has all lengths equal.
Volume is 125 find the cube root
Researchers at a drug company are testing the duration of a new pain reliever. The drug is normally distributed with a mean duration of 240 minutes (4 hours) and a standard deviation of 40 minutes. The drug is administered to a random sample of 10 people. (Round means, standard deviations, and z-scores to the nearest hundredth, if necessary.)
Answers
The population mean of the sampling by the researcher is 240, the standard deviation is 40 and the z score is -2.
What is a mean?It should be noted that the mean is the average of the numbers that are given in a population. The z score is -2 as it measures the relationship between the means.
The probability that the drug will wear off between 200 and 220 minutes will be:
= P(Z < -1.58) - P(Z < -3.16)
= 0.0571 - 0.0008
= 0.0563.
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The most concise notation to use to define function parameters x and y as double is __________. Group of answer choices
Answers
PLEASE HELP ME QUICK!!!!!!
The bonds of the products store 27 kJ more energy than the bonds of the reactants. How is energy conserved during this reaction?
A. The reaction system absorbs 27 kJ of energy from the surroundings.
B. The reaction creates 27 kJ of energy when bonds form.
C. The surroundings absorb 27 kJ of energy from the reaction system.
D. The reaction uses up 27 kJ of energy when bonds break.
Answers
As per the law of conservation of energy:
C. The reaction system absorbs 22 kJ of energy from the surroundings
Law of conservation of energy:This law of energy states that the energy remains conserved its neither created nor destroyed. It remains conserved throughout the reaction.
when an amount of heat gets absorbed during the reaction from the surroundings this type of reaction is known as an endothermic reaction.
So, for fulfilling law of conservation, same amount of energy must be asborbed.
Thus, option C is correct.
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HELP NEEDED NOW/ASAP PLS NO LINKS AND NO JOCKING.
AND PLS SHOW UR WORK IF POSSIBLE
which of the following is equivalent to the expression below \sqrt{36x^3}
Answers
[tex]\\ \rm\Rrightarrow \sqrt{36x^3}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{6^2x^3}[/tex]
[tex]\\ \rm\Rrightarrow 6x^{3\times \dfrac{1}{2}}[/tex]
[tex]\\ \rm\Rrightarrow 6x^{\frac{3}{2}}[/tex]
Answer:
[tex]\textsf{D)}\quad6x^{\frac{3}{2}}[/tex]
Step-by-step explanation:
[tex]\textsf{Apply radical rule} \quad\sqrt{ab}=\sqrt{a}\sqrt{b}:[/tex]
[tex]\begin{aligned}\implies \sqrt{36x^3} &=\sqrt{36}\sqrt{x^3}\\ & =6\sqrt{x^3}\end{aligned}[/tex]
[tex]\textsf{Apply radical rule} \quad\sqrt[n]{a}=a^{\frac{1}{n}}:[/tex]
[tex]\implies 6\sqrt{x^3}=6(x^3)^{\frac{1}{2}}[/tex]
[tex]\textsf{Apply radical rule} \quad(a^b)^c=a^{bc}:[/tex]
[tex]\implies 6(x^3)^{\frac{1}{2}}=6x^{\frac{3}{2}}[/tex]
QUESTION 13
An art student wants to enlarge a triangle with the sides 8, 8, and 14 cm. The new
triangle will have a measurement of 21 cm on its longest side. How long will the
other sides be on the new triangle?
O 12 cm
O24 cm
O 15 cm
21 cm
Answers
Answer:
12 c.m. and 12 c.m.
Step-by-step explanation:
model/actual = scale factor (same thing for dilation)
21/14 = 3/2
3/2*8 =4*3 =12
+
Write the equation of a line that passes through the points Which equations represent a line that passes through
shown in the table.
the points given in the table? Check all that apply.
y
B. y-2=-6(x + 10)
y-2=-1(x+10)
-10
2
y-1--2(x +4)
-4
1
y=-6x - 58
8
y=-x+
1
14
y=-2x+5
4
-1 -2
6
Answers
Answer:
2. y - 2 = -1/6(x + 10)
3. y - 1 = -1/6(x + 4)
5. y = -1/6x + 1/3
Step-by-step explanation:
hope this helps!
50 POINTS PLS ANSWER QUICK!!
Which of the following equations is not a linear equation?
(LOOK AT PHOTO!!!)
Answers
Answer:
I think that B is not a linear equation.
Step-by-step explanation:
Linear eqautions can not contain exponents in them. B has x to the power of 3 and y to the power of 2, ruling it out to be a linear equation.
I hope this helps! :)
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Linear equation has a degree of 1, that means the maximum power of a variable in a linear equation/expression should be 1. if an equation doesn't satisfy this condition then it's not a linear equation.
So, by Observing the choices, we get to the conclusion that the one which isn't a linear equation is B
[tex]\qquad \sf \dashrightarrow \: {x}^{3} - 5 {y}^{2} = 4[/tex]
Here, the variables have greater powers tham one, and degree is 3. so it's the required Answer ~
HELP PLS HURRY!!!!!!
Answers
Answer:
The median of the data is 6
The Lower Quartile is 2
The upper quartille is 3
The mimimum value is 15
The maximum value is 9
IMAGE BELOW I WILL GIVE BRAINLIEST
Answers
Answer:
56 degrees
Step-by-step explanation:
The total amount of degrees in a triangle is 180: all three angles add up to 180. We can set up an equation to solve this.
40 + 2x + 3x = 180
Let's add like terms:
40 + 5x = 180
Subtract 40 on both sides:
5x = 140
Divide by 5 on both sides to solve for x:
x = 28
Angle A is equal to 2x. Plug in 28 for x. 2*28 = 56. Therefore, Angle A is 56 degrees.
Answer:
∠ A = 56°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
2x + 3x + 40 = 180
5x + 40 = 180 ( subtract 40 from both sides )
5x = 140 ( divide both sides by 5 )
x = 28
then
∠ A = 2x = 2(28) = 56°
What is startfraction pi over 3 endfraction radians converted to degrees? if necessary, round your answer to the nearest degree.
Answers
Answer:
60°
Step-by-step explanation:
π/3Since π is denoted as 180°,
To convert π/3 radians to the nearest degree will
be:π/3 =
=180/3
= 60°
Answer:
it would be helpful if you provided some answers to know what questions your doing but 60
Step-by-step explanation:
(3 + root 3) (2+root 2) answer pls
Answers
Answer:
6+(3 root2)+(2 root3)+ root6
Step-by-step explanation:
good luck
Need help ASAP !!!!!!!!!!
Answers
Answer:
y =1/2x + 2
Step-by-step explanation:
Rise/run and then the y intercept
Draw the image of ABC△ under a dilation whose center is P is 3.
Answers
50pt:
You have 25 Hot Wheels vehicles. Your Hot Wheels race track has 5 lanes. What is the least amount of races needed to find the fastest Hot Wheels vehicle? What is the least amount of races needed to find the Top 3 fastest Hot Wheels vehicles?
Answers
Rafael has a bag of marbles, there are 5 green marbles, 6 red marbles, and 4
5
white marbles. Rafael picks a marble out of the bag without looking. What is the
probability of P(red n white)?
Answers
The probability of getting red marble from the consider withdrawal of a marble is 0.107 approximately.
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
Given that:
The bag contains:
5 green marbles,6 red marbles,45 white marbles.Rafael draws one marble at randomSince he draws one marbel, thus, only one colored marble would come out.
Let we suppose we've to find P(red marble coming out).
Then, if we take:
E = event of Rafael drawing a red marble,
then E can be done in 6 ways as there are 6 red marbles to choose from.
Also, withdrawal of 1 marble (of any color) can be done in (5+6+45 = 56) 56 ways.
Thus, we get:
[tex]P(E) = P(\text{Choosing a red marble}) = \dfrac{6}{56} = \dfrac{3}{28} \approx 0.107[/tex]
Thus, the probability of getting red marble from the consider withdrawal of a marble is 0.107 approximately.
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Help will give brainliest!!!!
Answers
Whole - 60
Percentage - 15%
HELP PLEASE FOR PRE-ALGEBRAIC
Answers
Answer:
Your answer is Vertical.
Step-by-step explanation:
309,303,297,... Find the 31st term.
Answers
Answer:
129
Step-by-step explanation:
The easiest thing to do would be an equation.
Since the value is decreasing by 6 each time you have -6x
-6x+?=?
Next thing you do, to get the y-intercept, would be to add 6 to the 309, which is the first term in order to get the zeroth term. This would make 315 the y-intercept
-6x+315=?
To solve for the 31st term, plug in 31 for x to get 129
♡ You got this! Have a great day! ♡Help I will give brainlist
Answers
Answer:
D
Step-by-step explanation:
21+16=37, so 37 gallons.
1+2=3, so 3 quarts.
A rectangular carpet is 2 times as long as it is wide. Its width is 5
yards. What is the perimeter of the carpet?
Answers
Answer:
30 units
Step-by-step explanation:
If the w=5 and we know that the length is 2(5)=10
For perimeter, there are two sides.
2(10)+2(5)=30 units
Name the polynomial by degrees and the number of
terms.
7x^4+ 7x^3 +10x
Answers
Answer:
Fourth-degree trinomial
Step-by-step explanation:
7x⁴ + 7x³ + 10x
There are three terms, and the biggest degree (exponent) is 4. Therefore, this is a fourth-degree trinomial.
Note:
A polynomial with one term: monomialA polynomial with two terms: binomialA polynomial with three terms: trinomialA polynomial with four or more terms: polynomialHope this helps!
The area of the regular hexagon is 10.4 in.2. a regular hexagon has side lengths of 2 inches and an area of 10.4 inches squared. an apothem is shown. what is the measure of the apothem, rounded to the nearest tenth of an inch? 1.3 in. 1.7 in. 2.0 in. 3.4 in.
Answers
Answer:
(b) 1.7 in
Step-by-step explanation:
The area of a regular polygon in terms of perimeter and apothem is given by the formula ...
A = 1/2Pa
For a hexagon, the perimeter is 6 times the side length, so this becomes ...
A = 1/2(6s)a = 3sa . . . . . for side length 's' and apothem 'a'
__
Solving for the apothem, we find ...
a = A/(3s)
For the given values of area and side length the apothem is ...
a = 10.4/(3·2) = 1.733... ≈ 1.7 . . . inches
The apothem, rounded to tenths, is 1.7 inches.
Answer:
1.7 in.
Step-by-step explanation:
E2020 Geometry B!! :3
Tritium is a radioactive isotope of hydrogen that decays by about 5% per year. A large bottle of water that contained 450,000 tritium atoms remained undisturbed for 11 years. How much tritium does the bottle contain now?
If necessary, round your answer to the nearest whole number
Answers
Using an exponential function, it is found that the bottle contains 255,960 atoms of tritium after 11 years.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem:
The bottle initially contained 450,000 tritium atoms, hence A(0) = 450000.The amount decays by about 5% per year, hence r = 0.05.Thus, the equation is given by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
[tex]A(t) = 450000(1 - 0.05)^t[/tex]
[tex]A(t) = 450000(0.95)^t[/tex]
After 11 years, the amount is given by:
[tex]A(11) = 450000(0.95)^{11} = 255960[/tex]
The bottle contains 255,960 atoms of tritium after 11 years.
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I need help please......
Answers
Answer:
Sorry the picture isn't clear, click it again
Predict the number of purple jellybeans in a bag of 200 jellybeans if a random sample of 25 resulted in 4 purple jellybeans.
Answers
Answer:
I am going to say 182
Step-by-step explanation:
Please Help Me With These Problems!!
4. The front wheels on DeMarius’ car are divided into sectors of equal area. The radius of each wheel is 8 inches. The area painted blue is twice the area painted green. The area painted green is half the area painted red. What is the area painted red on one of the front wheels? Round your answer to the nearest hundredth.
5. The rear wheels of DeMarius’ car complete 4/5 of a rotation for every full rotation of a front wheel. What is the radius, in feet, of a rear wheel on the car? Write your answer as a simplified fraction.
6. DeMarius’ original design for his car used rear wheels with a radius of 12 inches. What is the measure of the central angle of this rear wheel such that the arc length is equivalent to that of a full rotation of the rear wheel that is actually used on DeMarius’ car?
Answers
The area painted red on one of the front wheels on DeMarius’ car will be 80.42 inches².
How to calculate the area?From the information given, the The front wheels on DeMarius’ car are divided into sectors of equal area and the radius of each wheel is 8 inches. The area will be:
= 2/5 × πr²
= 0.4 × 3.14 × 8²
= 80.42 inches²
The radius, in feet, of a rear wheel on the car will be:
r1(2π) = r2(2π)
8(2π) = r2(8/5)(2π)
16 = r2(8/5)
r = 5/8 × 16
r = 10 inches
r = (5/6) feet
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