Final answer:
The dimensions of the flat-screen television with an area of 1500 square inches are approximately 38 inches in width and 39 inches in length.
Explanation:
To find the dimensions of a flat-screen television with an area of 1500 square inches and a length that is 1 inch more than its width, we can set up a quadratic equation. Let the width be w inches, then the length would be w + 1 inches. The area of the television's screen is given by the formula:
Area = width × length
Substituting the given values, we get:
1500 = w × (w + 1)
This simplifies to:
w² + w - 1500 = 0
Solving this quadratic equation, we find two potential solutions for w, but only the positive value makes sense in this context. Once we find the value of w, the width, we can then add 1 to get the length.
After calculating, we find that the width w is approximately 38 inches, and the length is approximately 39 inches. Therefore, the dimensions of the television are 38 inches by 39 inches to the nearest whole inch.
Becky owes $250 on her credit card. She pays off $120 but then uses the card to purchase $50 worth of art supplies for her students. How much money does Becky have now?
Can someone help !!!!
Sophia needs $47 to go on a field trip. She has saved $11.50. She earns $6.50 per hour cleaning her neighbor's garden, and she earns $5.25 per hour selling cakes at a store. Can Sophia go on the field trip if she works at the garden for 4 hours and at the store for 2 hours?
Answer:
yes
Step-by-step explanation:
What is the unit rate of $9.60 for 4 pounds
3(x-4)+6==15 solve and check
The slope of the line below is negative 1/7 write the point slope equation of the line using the coordinates of the labeled point? Plz help I'll give brainliest answer
How do I solve this?
Which undefined geometric term is described as a two-dimensional set of points that has no beginning or end?
the answer is line because a line has no beginning nor end
1 - Do not answer unless 100% sure.
2 - Be sure to explain how you got your answer.
3 - Look at the image below for the question.
What is the value of x?
Which of the following points are solutions to the equation y= -2/3x+2
Answers are either
(-2/5,34/15)
(7/2,13/3)
(1/8,23/12)
(8/3,2/3)
[tex] y=-\dfrac{2}{3}x+2\\\\\left(-\dfrac{2}{5};\ \dfrac{34}{15}\right)\to x=-\dfrac{2}{5};\ y=\dfrac{34}{15}\\\\for\ x=-\dfrac{2}{5}\to y=-\dfrac{2}{3}\cdot\left(-\dfrac{2}{5}\right)+2=\dfrac{4}{15}+2=\dfrac{4}{15}+\dfrac{30}{15}=\dfrac{34}{15}\\CORRECT\\\\\left(\dfrac{7}{2};\ \dfrac{13}{3}\right)\to x=\dfrac{7}{2};\ y=\dfrac{13}{3}\\\\for\ x=\dfrac{7}{2}\to y=-\dfrac{2}{3}\cdot\dfrac{7}{2}+2=-\dfrac{7}{3}+2=-\dfrac{7}{3}+\dfrac{6}{3}=-\dfrac{1}{3}\neq\dfrac{13}{3}\\INCORRECT [/tex]
[tex] \left(\dfrac{1}{8};\ \dfrac{23}{12}\right)\to x=\dfrac{1}{8};\ y=\dfrac{23}{12}\\\\for\ x=\dfrac{1}{8}\to y=-\dfrac{2}{3}\cdot\dfrac{1}{8}+2=-\dfrac{1}{12}+2=-\dfrac{1}{12}+\dfrac{24}{12}=\dfrac{23}{12}\\CORRECT\\\\\left(\dfrac{8}{3};\ \dfrac{2}{3}\right)\to x=\dfrac{8}{3};\ y=\dfrac{2}{3}\\\\for\ x=\dfrac{8}{3}\to y=-\dfrac{2}{3}\cdot\dfrac{8}{3}+2=-\dfrac{16}{9}+2=-\dfrac{16}{9}+\dfrac{18}{9}=\dfrac{2}{9}\neq\dfrac{2}{3}\\INCORRECT [/tex]
Answer: (-2/5,34/15) and (1/8,23/12).
Find three numbers between -0.55 and -0.54
(24-18)×(32÷4)
please help me with this
i need help with this
a) The details of this long division is shown in the image attached.
b) This division can not work as the result is zero.
c) 5/6 is a rational number. This is because the quotient is a terminating decimal.
Long division is a technique for dividing two numbers that involves working through the remainder and quotient step-by-step. When dividing a larger number (dividend) by a smaller number (divisor) that is difficult to divide in one step, it is usually utilized.
Until there are no more dividend digits, the procedure entails dividing the dividend by the divisor several times, multiplying the divisor by the quotient gained in each step, removing the product from the partial remainder, and bringing down the next dividend digit.
y varies jointly as x and z. y=72 when x=6 and z=4. Find y when x=3 and z=6.
If Cody is draining his hot tub which holds 1,400 gallons of water at a rate of 27 gallons a minute, what impact will it have on the amount of water in the hot tub after 18 minutes? A) -486 gallons B) -459 gallons C) 459 gallons D) 486 gallons
What is the simplified form of –9m–2n5 × 2m–3n–6?
Answer:
-18m-6n-30
Step-by-step explanation:
Trust me :)
Ella went to the zoo and saw cockroaches, spiders, and moths. She was there 3 hours. She saw 3 times as many spiders as cockroaches and twice as many moths as cockroaches. If Ella saw 5 cockroaches, how many bugs did she see altogether?
m<2=34 find m<4 and explain how you know
Angle 4 equals 34 degrees since angle 2 and 4 are opposite angles and opposite angles are congruent
Given only that m<2 = 34, we can't find the value of m<4. More information about the relationship between these angles is needed to solve the problem.
Explanation:The question asks to find the value of m<4 given that m<2=34.
It's important to note here that 'm<2' and 'm<4' are two different angle measures. Without more information about their relationship, such as them being supplementary, complementary or vertically opposite angles, it's impossible to find the measure of m<4 based on m<2 alone.
So, we can't find the value of m<4 using only the information provided. You might need to look back at the original problem or figure to see if there is additional information available about these angles.
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An 8-kilogram bag of carrots costs $16.08. What is the unit price?
How do you find the perimeter of a polygon
What is the value of t in the equation t+12=30 ?
yvonne runs three times as fast as xavier. what is an algebraic translation of this?
A y = 2x
B y = 3x
C y = 1/2x
D y = 1/3x
Can someone please help me I can’t afford to get anymore wrong
Rule: start at 17.3 add 0.9 please help
On a coordinate grid, both point (3, 5) and point (−2, −4) are reflected across the y-axis. What are the coordinates of the reflected points?
A. (−3, 5) and (2, 4)
B. (−3, 5) and (2, −4)
C. (−3, −5) and (−2, −4)
D. (3, −5) and (−2, −4)
How can area models be used to solve multiplication problems
Area models can be used to solve multiplication problems by visually representing the multiplication as the area of a rectangle or square. The model is divided into equal-sized sections, with the number of sections representing one factor and the size of each section representing the other factor. The total area of the model gives the product of the two factors.
Explanation:Area models can be used to solve multiplication problems by visually representing the multiplication as the area of a rectangle or square. The model is divided into equal-sized sections, with the number of sections representing one factor and the size of each section representing the other factor. The total area of the model gives the product of the two factors. For example, if we have a model representing 4 × 3, we can divide the model into 4 equal sections horizontally and 3 equal sections vertically, and the total area will be 12, which is the product of 4 and 3.
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1. Rename one-eighth as a percent. (1 point) 1.25% 12.5% 125% 1250% 2. Rename .709 as a percent. (1 point) 709% 70.9% 79% 7.09% 3. What percent is equivalent to two-thirds?
One-eighth, when converted to a percent, is 12.5%. The decimal 0.709 is equivalent to 70.9% when converted to a percent. Two-thirds is roughly equivalent to 66.7% after conversion and rounding.
Converting Fractions and Decimals to Percents
To convert a fraction to a percent, you can either first convert it to a decimal or multiply the fraction straightaway by 100. For one-eighth, we multiply 1/8 by 100 to get 12.5%. So one-eighth as a percent is 12.5%.
To rename 0.709 as a percent, you move the decimal point two places to the right or multiply by 100, which gives us 70.9%. Therefore, 0.709 as a percent is 70.9%.
Lastly, two-thirds is equivalent to the decimal 0.666... (repeating). To turn this into a percent, we again multiply by 100, yielding approximately 66.7%, after rounding.
13. In the matrix shown, which element is a1,2?
A. 8
B. 2
C. 6
D. 5
The element is 5.
Your question is incomplete. Please find below the missing content.
What is the Matrix?Matrix is hard and fast of numbers arranged in rows and columns so one can form a rectangular array. The numbers are called the elements, or entries, of the matrix. Matrices have wide programs in engineering, physics, b, and facts in addition to various branches of arithmetic.
What are the types of matrices?row matrix, column matrix, null matrix, square matrix, diagonal matrix, upper triangular matrix, lower triangular matrix, symmetric matrix, antisymmetric matrix.Learn more about matrix here: https://brainly.com/question/2456804
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The graph of g(x) is a transformation of the graph of f(x)=3x .
Graph of an exponential function labeled g of x. The horizontal axis ranges from negative 5 to 5 in increments of 1. The vertical axis ranges from negative 5 to 5 in increments of 1. The graph passes through begin ordered pair 2 comma 0 end ordered pair and begin ordered pair 3 comma 2 end ordered pair. These points are labeled. The graph approaches the line y equals negative 1 to the left on the graph.
Enter the equation for g(x) in the box.
g(x) =
it the one that go from -10 to 6 then up