Answer:
Correct option is 2. The lengths of two adjacent sides of the parallelogram are 4 cm and 7 cm.
Step-by-step explanation:
The opposite sides of a parallelogram are equal.
[tex]5n-6=3n-2[/tex]
[tex]2n=4[/tex]
Divide both sides by 2.
[tex]n=2[/tex]
The value of n is 2.
The lengths of two adjacent sides of the parallelogram are
[tex]5n-6=5(2)-6=10-6=4[/tex]
[tex]2n+3=2(2)+3=7[/tex]
Therefore the correct option is 2. The lengths of two adjacent sides of the parallelogram are 4 cm and 7 cm.
George has $23 to spend on Art supplies. He wants to buy markers,paper,and glue. If the total cost of the markets and paper is more than $14, write an inequality that represents the dollar amount,p, George can spend on glue.
A sphere has a diameter of 5 inches.
What is the volume of the sphere rounded to the nearest tenth?
Use 3.14 for pi.
16.4 in³
65.4 in³
130.8 in³
523.3 in³
Answer:
65.4 in³
Step-by-step explanation:
What is the answer for the equation 4|x+1/3|=20 ? A.x=411/12or-411/12 B.x=411/12 C.x=42/3or-51/3D.no solution
Answer:
C. x = 4 2/3 or x = -5 1/3
Step-by-step explanation:
4|x + 1/3| = 20
Divide both sides by 4.
|x + 1/3| = 5
Deal with the absolute sign symbol.
x + 1/3 = 5 or x + 1/3 = -5
x = 4 2/3 or x = -5 1/3
Answer: C. x = 4 2/3 or x = -5 1/3
What is the LCD of 11/12 - 7/8 ?
A piece of stained glass in the shape of a right triangle has sides measuring 8 centimeters, 15 centimeters, and 17 centimeters.What is the area of the piece?
Find two numbers, if Their sum is −7 and their difference is 14
Answer:
3.5 and -10.5
Step-by-step explanation:
i checked, its correct
Find the dimensions of the rectangular box with largest volume if the total surface area is given as 16 cm2. (let x, y, and z be the dimensions of the rectangular box.) (x, y, z) =
Final answer:
Finding the exact dimensions of a rectangular box with the largest volume from a given surface area of 16 cm2 requires additional constraints. For illustrative purposes, in the case of a cube with equal sides, the side length can be found using the formula for surface area, showing how such a problem might be approached.
Explanation:
To find the dimensions of a rectangular box with the largest volume given a total surface area of 16 cm2, we can use the method of Lagrange multipliers or understand the principle that for a given surface area, the box which is closest to a cube will have the largest volume. However, without additional constraints, like a relation between the dimensions (x, y, z), solving for specific x, y, z values directly from just the surface area constraint alone leads to an infinite number of solutions. For simplicity, we'll consider a problem where symmetry is involved, as in the case of a cube, to illustrate how one might approach it.
Surface area of a rectangular box is given by 2(xy + xz + yz) = 16 cm2. To simplify and directly answer based on the data given would require additional constraints, such as assuming all sides are equal. For a cube, with all sides equal (let’s call each side 'a'), the surface area would be 6a^2. Solving 6a^2 = 16 gives a = sqrt(16/6) ≈ 1.633. This illustrates a scenario under specific conditions but doesn't directly solve the original question without additional constraints.
you invest $2,000 in a stock plan and another $2,000 in a savings account the stock plan decreases 7% the first year and gains 10% the second-year the savings account earns 3.7 APR and compounds annually what's the difference in earnings between the stock and savings account in the end of the second year
The difference in earnings between the stock and savings account in the end of the second year is $104.74.
What is the difference between the stock and savings account?The value of the stock plan at the end of the first year = (100 - 7) x 2000
0.93 x 2000 = $1860
The value of the stock plan at the end of the second year = (100 + 10) x 1860 = $2046
The future value of the savings account = 2000(1.037^2) = $2150.74
Difference = $2150.74 - $2046 = $104.74
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Johannes buys a bag of dried fruit in 10 ounce bags. If he plans to take 5 pounds of dried fruit on a camping trip, how many bags should he take?
A. 5
B. 8
C. 32
D. 50
What is the area of a parallelogram if its length is x+4 and its height is x+3
To find the area of a parallelogram with base length x+4 and height x+3, multiply these two values to yield an area represented by the quadratic equation x²+7x+12.
Explanation:The area of a parallelogram is calculated by multiplying the base length by the height of the parallelogram. For a parallelogram with a base length of x+4 and a height of x+3, the area can be found by the formula Base x Height = Area of parallelogram.
The calculations follow these steps:
Identify the base (x+4) and the height (x+3).Multiply the base and height: (x+4)(x+3).Continuing with algebra, expand the expression: x²+3x+4x+12.Combine like terms to get the final area: x²+7x+12.Therefore, the area of the parallelogram is represented by the equation x²+7x+12, given the dimensions provided.
When constructing inscribed polygons and perpendicular lines, how are the steps similar? -
A. For right angles are created
B. A protractor and ruler are used to take accurate measurements.
C. Intersecting arcs are created and connected
D. There are no similarities
((((( SIDE NOTE ::: I LOOKED IT UP AND PEOPLE ARE SAYING ITS D, AND THEN THE OTHER HALF OF PEOPLE ARE SAYING D IS WRONG......HELP )))))
C is Correct answer.
determine whether each set of side lengths could be the sides of a right triangle Drag and drop each set of side lengths to the correct box right triangle not a right triangle 8 in 15 in 17 in. 4 in 15 in 17 in
Answer:
8 in 15 in 17 in.--- form a right angled triangle.
4 in 15 in 17 in.---- do not form a right angled triangle.
Step-by-step explanation:
We know that according to the PYTHAGOREAN THEOREM of right triangles we have:
[tex]c^2=a^2+b^2[/tex]
where c is the hypotenuse or the largest side of a triangle and a and b are other two legs of a right triangle,.
1)
8 in 15 in 17 in.
[tex]17^2=15^2+8^2\\\\289=225+64\\\\289=289[/tex]
Hence, the given measure of sides form a side of a right angled triangle.
2)
4 in 15 in 17 in.
Since,
[tex]17^2\neq 15^2+4^2[/tex]
Hence, the given measure of sides do not form a side of a right angled triangle.
Plastic bags used for packaging produce are manufactured so that the breaking strength of the bag is normally distributed with a mean of 5 pounds per square inch and a standard deviation of 2 pounds per square inch. what is the probability that a sample of 16 such bags will have an average breaking strength less than 6 pounds per square inch? (choose the closest answer. answers are rounded to the fourth decimal place).
Anais bought 2 1/2 yards of ribbon. She had 1 foot 6 inches of ribbon left andvtrimming some curtains. How many inches of ribbon did Anais use to trim curtains
What is the value of x?
The diameter of a circle is 2 yards. What is the circle's radius?
d
ellen flipped a coin 80 times. the coin landed heads up 44 times and tails up 36 times. what is the theoretical probability of labding tails up
Answer:
50%
Step-by-step explanation:
Emma is going camping each side triangle of hurt it is 5 feet tall the square base 4 feet wide what is the surface area of her tent
Find the volume of the figure. A) 33 in3 B) 150 in3 C) 233 in3 D) 425 in3
The amount of three-dimensional space enclosed by a closed surface is expressed as a scalar quantity is called volume. The volume of the given figure is 233 in³.
What is Volume?The amount of three-dimensional space enclosed by a closed surface is expressed as a scalar quantity is called volume.
The given figure can be divided into two parts. The first figure 'A' is a cuboid, while the second figure 'B' is a cube. As shown below.
Now, the volume of the figure can be calculated by adding the volume of the cuboid A and the volume of the cube B.
The volume of Cuboid A can be written as,
[tex]\rm \text{Volume of cuboid} = Length \times Breadth \times Height[/tex]
[tex]= 12 \times 3 \times 3\\\\= 108\rm\ in^3[/tex]
The volume of Cube B can be written as,
[tex]\rm \text{Volume of Cube} = (Side)^3[/tex]
[tex]= 5^3\\\\= 125\rm\ in^3[/tex]
Further, the volume of the figure can be written as,
The volume of the figure = Volume of the cuboid + Volume of the Cube
= 108 + 125 = 233 in³
Hence, the volume of the given figure is 233 in³.
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Maggs invests $10,250 at a rate of 9%, compounded weekly. To the nearest whole dollar, find the value of the investment after 7 years. $10,375 $11,208 $18,737 $19,230
Answer:
the correct answer is 19,230
Step-by-step explanation:
WILL MARK BRAINIEST!!
Find the slope of the line that passes through each pair of points.
C(7, -3), D(11, -4)
R(-2, -3), S(-2, -5)
T(-13, 8), U(21, 8)
E(5, 2), F(12, -3)
kyle bought 28 feet of wire at the handware store. the wire cost was $2.79per foot, including sales tax. if kyle paid with a $100 bill, how much change should he have received?
PLZ HELP ASAP IF YOU KNOW THE ANSWER!!
Determine whether a triangle with the given side lengths is a right triangle angle: 15 cm, 17 cm and 19 cm
Yes or No_________
Show your work to prove your answer:
Help please!
John bought a used truck for $4,500. He made an agreement with the dealer to put $1,500 down and make payments of $350 for the next 10 months. The extra cost paid by taking this deal is equivalent to what actual yearly rate of interest? A. 33% B. 36% C. 3.6% D. 63%
Answer-
The extra cost paid by taking this deal is equivalent to actual yearly rate of interest 36%
Solution-
Price of truck = $4500
John made a down payment of $1500, so the present value of annuity will be,
[tex]4500-1500=\$3000[/tex]
We know that,
[tex]\text{PV of annuity}=P[\frac{1-(1+r)^{-n}}{r}][/tex]
[tex]PV\ of\ annuity=3000,\\\\P=350,\\\\r = x%\ monthly\\\\n=10\ months[/tex]
Putting the values,
[tex]\Rightarrow 3000=350[\dfrac{1-(1+x)^{-10}}{x}][/tex]
[tex]\Rightarrow \dfrac{3000}{350}=[\dfrac{1-(1+x)^{-10}}{x}][/tex]
[tex]\Rightarrow \dfrac{60}{7}x=1-(1+x)^{-10}[/tex]
[tex]\Rightarrow (1+x)^{-10}+\frac{60}{7}x-1=0[/tex]
Using calculator we get,
[tex]\Rightarrow x=0.0291=2.91\% \approx 3\%[/tex]
Therefore, annual interest will be,
[tex]=12\times x=12 \times 3=36\%[/tex]
Factor.
x^2−8x+16
(x−8)^2
(x+8)^2
(x+4^)2
(x−4)^2
a person travels 640 mi in 10 hours. What is the rate in miles per hour?
A traveler has $50 in United States bills and wishes to convert them to Swiss Francs. The traveler checks a newspaper for the exchange rate and finds the figure "1.6465" under "Dollar in Foreign Currency."
At this rate he receives -__ francs.
51.65
82.33
30.37
will report if answer is wrong or you just reply "sorry idk"
Answer:
At this rate traveler receives 82.33 Swiss Francs.
Step-by-step explanation:
A traveler has $50 United States bills. He wishes to convert them to Swiss Francs.
The current exchange rate : 1 Dollar = 1.6465 Swiss Francs
50 Dollars = 1.6465 x 50 = 82.325 Swiss Francs rounded to 82.33.
At this rate traveler receives 82.33 Swiss Francs.
On the test with 25 problems, Grace got 88% correct. How many problems did Grace get correct?
There are 22 problems Grace get correct.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
Total number of questions = 25
And, Grace got 88% correct.
Now,
Since, Total number of questions = 25
And, Grace got 88% correct.
Hence, The correct questions = 88% of 25
= 88/100 x 25
= 88/4
= 22
Thus, There are 22 problems Grace get correct.
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10 people can paint a building in 5 days. If each person paints as quickly as the others then how much of the building could 7 people paint in 5 days?
Answer:
0.7 building
Step-by-step explanation:
The allowed time is the same, so we expect the amount of building to be proportional to the number of people working. If 7/10 of the workforce is present, we expect 7/10 of the building to be painted.
Draw a number line and show all numbers that …
are solutions of the equations (x−1)(x+1)=0.
on a number line that is -5 through 5