Answers
Answer:
x = 6
Step-by-step explanation:
Area of rectangle = length * width
= 10 * (x +2)
= 10*x + 10*2
= 10x + 20 square units
Area of triangle = [tex]\frac{1}{2}*bh[/tex]
[tex]=\frac{1}{2}*2*(x + 4)\\\\\\=1 * (x +4)\\\\\\[/tex]
= (x + 4) square units
Area of rectangle = 8* area of triangle
10x + 20 = 8 *( x+ 4)
10x + 20 = 8x + 32
Subtract 20 form both sides.
10x = 8x + 32 - 20
10x = 8x + 12
Subtract 8x form both sides
10x - 8x = 12
2x = 12
Divide both sides by 2
2x/2 = 12/2
x = 6
Related Questions
3(x+5) = -6x+6 two column proof
Answers
Answer:
- 1
Step-by-step explanation:
Step 1:
3x + 15 = - 6x + 6
Step 2:
9x + 15 = 6
Step 3:
9x = - 9
Answer:
x = - 1
Hope This Helps :)
Please help
A local business does $1200 in sales on Monday and $1400 dollars in sales on Tuesday.
Which of the following a correct sentence to describe the ratio of Monday to Tuesday?
Answers
Answer:
1200 : 1400 = 6 : 7
The ratio is not in lowest terms so we found an equivalent ratio by simplifying.
Solution:
We can simplify the ratio 1200 : 1400 by dividing both terms by the greatest common factor (GCF).
The GCF of 1200 and 1400 is 200.
Divide both terms by 200.
1200 ÷ 200 = 6
1400 ÷ 200 = 7
Therefore:
1200 : 1400 = 6 : 7
a man whose income is rupees 576 a year spends rupees 432 a year what percentage of his income does he save
Answers
Answer:
He save 25% of his income.
Step-by-step explanation:
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lets take 576 as 100% so 576=100432=xfollowing unitary methodx=43200/576x=75%now saving %= 100%-75%= 25%Answer:
25%
Step-by-step explanation:
576-432=144
576=100%
144=?
144×100÷576=25%
if f(x)=2x-1 and g(x)=x^2-3x-2, find (f+g)(x)
Answers
Answer: (f+g)(x)=x²-x-3
Step-by-step explanation:
(f+g)(x) means f(x)+g(x). Since we are given f(x) and g(x), we can add them together.
(f+g)(x)=2x-1+x²-3x-2 [combine like terms]
(f+g)(x)=x²-x-3
Now, we know that (f+g)(x)=x²-x-3.
What is equal to 15.9 divided by 3
Answers
Answer:
5.3
Step-by-step explanation:
At least one of the numbers must be 0.
1. none
2. Hypothesis
3. Conclusion
Answers
Answer:
The answer is 1.) None
Step-by-step explanation:
Hope this helps you :)
Find the equation of the line that is perpendicular to -x+2y=11 and passes through the point (6,-5).
Answers
Step-by-step explanation:
m=-2
y+5=2(x-6)
y+5=2x-12
y=2x-17
Answer:
Step-by-step explanation:
2y = x + 11
y = 1/2x + 11/2
perp. -2
y + 5 = -2(x - 6)
y + 5 = -2x + 12
y = -2x + 7
198,500 round to ten thousand
Answers
Answer:
200,000
Step-by-step explanation:
insert two numbers between 54 and 2 so that the four numbers are in geometric sequence.
Answers
Answer:
2,6,18,54
How I got this answer:
Each term after the first is found by multiplying by a fixed, non-zero number called a common ratio.
step by step:
2×3=6
6×3=18
18×3=54
The common ratio is 3.
In the figure below, what is the value of xº?
75°
79°
O A. 180°
B. 26°
O C. 64°
O D. 101°
Answers
Answer:
x=26°
B. 26°
Step-by-step explanation:
Triangle Sum theorem
75 + 79 + x =180
154 + x =180
x= 26
A school bus requires 40 liters of fuel per week. If your school district runs 5,000 school buses, how many liters of fuel will the buses consume in 52 weeks? A. 15 million liters B. 10 million liters C. 10.4 million liters D. 200 million liters
Answers
Answer:
C. 10.4 million liters.
Step-by-step explanation:
1. First, you want to create an equation to help you solve this. You know that there are 5,000 school buses and they use 40 liters of fuel per week. So, you know that 5,000 · 40x would be the amount of fuel for x weeks (where x is the number of weeks).
2. To figure out how many liters would be used in 52 weeks, simply put 52 in for x. So, the expression is 5,000·40(52).
3. Multiply 40(52) to get 2,080. Your expression now looks like this: 5,000·2,080
4. Multiply 5,000(2,080) to get your answer of 10,400,000 liters.
Hope this helps! :) If you could give me Brainliest that would be super helpful!
Please answer fast will make brainlest
Answers
Answer:
C
Step-by-step explanation:
You have a summer job detailing cars. You charge $5 to wash a car, $25 to wax a car, and $2 to vacuum a car. What algebraic expression models the total amount you can earn? If you wash 8 cars, wax 2 cars, and vacuum 6 cars, how much will you earn in all?
Answers
5x+25x+2x, $102
Step-by-step explanation:
5x+25x+2x
5(8)=40
25(2)=50
2(6)=12
add what's behind the equal signs to get $102 in all
If a=2b then a:b= what ???
Answers
Answer:
[tex]2:1[/tex]
Step-by-step explanation:
[tex]a:b\\---\\\ 2b:b\\2:1[/tex]
What is the value of x? (X+40)
Answers
-40
Step-by-step explanation:
at the moment your equation is x+40=0
you move the forty to the other side by subtraction and you get x= -40
Answer:
x=-40
Step-by-step explanation:
11 = 4/5h - 1 solve for h
Answers
Answer: h = 15
Step-by-step explanation: 4/5 x 15 = 60/5 = 12, 12 - 1 = 11.
The midpoint of AB is M(1, -3). If the coordinates of A are (4, -7), what are the
coordinates of B?
Answers
Two points (p, q) on a linear supply function are ($2.55, 98,000) and ($6, 195,500).
⦁ Determine the supply function q = f(p).
⦁ What price would result in supplier offering 145,000 units for sale?
⦁ Interpret the slope of the function.
⦁ Determine the p intercept.
⦁ Sketch f(p)
Answers
Answer:
q ≈ 28270p +25935$4.21 will give a supply of 145,000slope is the supply increase per dollar of pricep-intercept is about -$0.92a graph is attachedStep-by-step explanation:
The two-point form of the equation of a line is useful for this.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
q = (195500 -98000)/(6.00 -2.55)(p -2.55) +98000
q = 97500/3.45(p -2.55) +98000
q ≈ 28269.9p +25934.8
__
For a supply of 145000, the price would need to be ...
145000 = 28269.9p +25934.8
119065 = 28270p
119065/28270 = p = 4.21
A price of $4.21 will result in a supply of $145,000.
__
The slope is the additional amount supplied for each dollar increase in price.
__
The price value that results in a supply of zero is ...
0 = 28270p +25935
-25935 = 28270p
-25935/28270 = p ≈ -0.92
The p-intercept is about -$0.92.
The ordered pairs in the table below represent a linear function. What’s the slope of the function?
Answers
Answer:
The slope is 2
Step-by-step explanation:
Using slope formula (y2-y1)/(x2-x1):
(8-2)/(9-6)
(6)/3
2
Answer:
3
Step-by-step explanation: took test edge
The measure of an angle is 89 times the measure of its supplementary angle. What is the measure of each angle
Answers
Answer:
2 and 178
Step-by-step explanation:
If we take an instance of a number 'x', according to the question we find that x+x*89=180(Because they are complementary)
We get, = 89x+x=180
=> 90x=180
=> x=180/90
=> x =2
So, we found that x=2 , hence the other angle is going to be 2*89=178
This is correct as 2+178=180(as they are supplementary to each other)
Hope this answer helps, Please mark me as brainliest, Thank you!
357,335 rounded to the nearest ten
Answers
Answer:
357,340
35 is the tens place, and if it is 5 or larger we round up to in this case, 40
Answer:
357340
Step-by-step explanation:
Find the probability for one roll of a number cube.
P(number greater than or equal to 7)
A. 1/7
B. 0
C. 1/6
D. 1
Answers
The only possible outcomes on a standard number cube (aka a die or dice) are {1,2,3,4,5,6}
It is not possible to roll a 7 or larger, so we say the probability is 0. A probability of 0 means "impossible".
Find the value of x.
Answers
Answer:
x=20°
Step-by-step explanation:
This is actually simpler than it seems. Try redrawing (or maybe just imagine) that the only inscribed angle is x with the two lines going to the 40°. If we let 40°=θ, then: x=θ/2
This is actually true for any situation with inscribed angles, so you could use this to find w, y, and z as well.
Anyways x=(40°)/2=20°, so x=20°
Evaluate the expression and enter your answer in the box below.
[(8 + 10) /3] +3 • (7-3)
Answers
Answer:
38.6
Step-by-step explanation:
When x=-2, the value of y is
Answers
Answer:
emaybe
Step-by-step explanation:
e hopeA train traveled at a constant speed for six hours and traveled a distance of 408 miles. What is the best estimate of the number of miles the train could travel in 2.5 hours? *A train traveled at a constant speed for six hours and traveled a distance of 408 miles. What is the best estimate of the number of miles the train could travel in 2.5 hours? *A train traveled at a constant speed for six hours and traveled a distance of 408 miles. What is the best estimate of the number of miles the train could travel in 2.5 hours? *A train traveled at a constant speed for six hours and traveled a distance of 408 miles. What is the best estimate of the number of miles the train could travel in 2.5 hours? *
Solve 20 - x/3 = x/2 , put the number only in the box.
Answers
Answer:
x = 24Step-by-step explanation:
[tex]20 - \frac{x}{3} = \frac{x}{2} [/tex]
Multiply through by the LCM that's 6 in order to eliminate the fraction
That's
[tex]6 \times 20 - 6 \times \frac{x}{3} = 6 \times \frac{x}{2} \\ 120 - 2x = 3x[/tex]
Using the addition property add 2x to both sides of the equation
That's
[tex]3x + 2x = 120 + 2x - 2x \\ 5x = 120[/tex]
Divide both sides by 5
[tex] \frac{5x}{5} = \frac{120}{5} [/tex]
We have the final answer as
x = 24Hope this helps you
Answer:
X=24
Step-by-step explanation:
20=x/2+x/3
20=1/2x +1/3x
20=5/6x
20÷5/6=x
X=24
The fifth grade team ordered 5,000 markers for a project. Only 1/10 of the markers have been delivered. How many markers does the team have?
Answers
Answer:
500 markers
Step-by-step explanation:
Multiply 5000 by 1/10
[tex]5000*\frac{1}{10} \\\\= \frac{5000}{10}\\[/tex]
Simplify (dividing the numerator and denominator by 10)
[tex]\frac{5000}{10} \\= \frac{500}{1}\\= 500[/tex]
I hope this helped! If it did, a brainliest would be much :)
please help :) Find the unknown length y in the following pair of similar triangles. y= ?
Answers
Answer:
Y should equal to 4.5
Step-by-step explanation:
Since they are similar triangles and each of the measurements on the second triangle are divided by two you would do the same for y
I need help with part 2 please
Answers
Answer:
$65
Step-by-step explanation:
So we already determined that the total cost C to drive m miles is:
[tex]C=0.25m+40[/tex]
And we want to find the total cost of driving 100 miles.
So, substitute 100 for m and solve for C:
[tex]C=0.25(100)+40[/tex]
Multiply:
[tex]C=25+40[/tex]
Add:
[tex]C=\$ 65[/tex]
Therefore, it will cost $65 to drive 100 miles.
Probenecid is a drug used by some athletes to prevent the excretion of other substances into urine, thus lowering their detectable concentrations. A scientist makes three measurements of a urine sample known to contain probenecid and obtains a confidence interval of 11.8±0.5 mg/L at the 95% confidence level. What would happen to the confidence interval at the same confidence level if the number of measurements is increased to 10 assuming the standard deviation remains the same?
Answers
Answer:
The confidence interval will decrease
Step-by-step explanation:
Generally the confidence interval is mathematically represented as
[tex]\= x \pm z_c * \frac{s}{\sqrt{n} }[/tex]
Here [tex]z_c[/tex] is called the critical value of [tex]\frac{level \ of \ significance }{2}[/tex] obtained from the normal distribution table , s is the standard deviation , n is the sample size (number of measurements )
Now looking at the formula we that if the increase the sample size that the confidence level would decrease
So if the n is increased to 10
The confidence interval would decrease