Answer: D because the two longer sides are 7 unites longer, meaning you need to add 14 (7x2) to the final product
Answer:
Option D [tex]4x+14[/tex]
Step-by-step explanation:
Given: The longer sides are 7 units longer than the shorter sides. The shorter side is x.
To find: Write an expression below that represents the perimeter.
Solution: It is given that the shorter side is x.
The longer side is 7 units longer than the shorter side. So, the longer side is [tex]x+7[/tex]
We know that the perimeter of the rectangle is [tex]2(\text{length}+\text{breadth})[/tex]
So, the expression for the perimeter
[tex]=2(x+x+7)[/tex]
[tex]=2(2x+7)[/tex]
[tex]=4x+14[/tex]
Hence, the expression for perimeter is [tex]4x+14[/tex].
So, option D is correct.
One box is 4 feet 9 inches tall, one is 3 feet 10 inches tall, and one is 3 feet 7 inches tall. How high is the stack?
Answer:
146 in
12ft 2in
Step-by-step explanation:
4ft 9 = 4*12+9=48+9=57
3ft 10 = 3*12+10=36+10=46
3ft 7 = 3*12+7=36+7=43
57+46+43=146
146/12 = 12ft remainder 2
12ft 2in
i need your help with a math problem it says three good friends are in the same algebra class. Their scores on a recent test are three consecutive even integers whose sum is 264. Find each score.
Christian and Domonic are shooting baskets at the basketball court in the park. They track their ratios of baskets made to baskets missed. Christian's ratio is 3:4, and Domonic's ratio is 5:2. Which statements are true based on the boys' ratios? Choose all that are correct. For every 3 baskets he misses, Christian makes 4 baskets. For every 3 baskets he makes, Christian misses 4 baskets. For every 2 baskets he misses, Domonic makes 5 baskets. For every 2 baskets he makes, Domonic misses 5 baskets. When Domonic has missed 4 baskets, he will have likely made 7 baskets. When Christian has missed 8 baskets, he will have likely made 6 baskets.
Answer:
2. For every 3 baskets he makes, Christian misses 4 baskets.
3. For every 2 baskets he misses, Domonic makes 5 baskets.
Step-by-step explanation:
Christian 3:4 ratio
for every 3 made he misses 4
3:4 = 6:8
Dominic 5:2
for every 5 made he misses 2
5:2 = 10:4
14. CELL PHONES Gabriel pays $40 a month for basic cell phone service. In addition,
Gabriel can send text messages for $0.20 each. Write and solve an equation to find the total
amount Gabriel spent this month if he sends 40 text messages.
Answer:
Step-by-step explanation:
So first what you need to do is try subtracting 40 and 20 then multiplying 40
Chad used the table to show the ratios of the different types of sports game cards that he owns. For every 4 defense cards, he owns 2 offense cards. Which graph represents the proportional relationship between his defense and offense cards?
Only the graph A represents the proportional relationship between the variables.
Given that :
For every 4 defense cards ; there are 2 offense cards :
Defense cards = y
Offense cards = x
For proportional relationship :
y α x
y = kx
k = y/x
k = constant of proportionality
k = 4/2
k = 2
y = 2x
The value of y when x = 4
The value of y when x = 4 When ; x = 4
The value of y when x = 4 When ; x = 4 y = 2×4 = 8
Only graph A gives the proportional value of y when x = 4
Hence, Graph A represents the proportional relationship between defense and offense.
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Final answer:
The correct graph would show a straight line through the origin with a slope of ½, reflecting the 2:1 ratio of defense to offense sports game cards Chad owns.
Explanation:
The subject of this question is Mathematics, and it pertains to the concept of ratios and proportional relationships, which is typically taught at the Middle School level. To determine which graph represents the proportional relationship between Chad's defense and offense sports game cards, we must consider that for every 4 defense cards, he owns 2 offense cards. This establishes a constant ratio of defense to offense cards of 2:1.
A graph that accurately represents this relationship would be a straight line through the origin (0,0) that has a slope of ½, because for every 2 units increased in the defense (x-axis), there should be a 1 unit increase in the offense (y-axis). This is because the graph of a proportional relationship is always a straight line that passes through the origin, and the slope of the line reflects the ratio of the quantities compared.
is 32.725 greater or less than 32.735
Answer:32.735 is greater
Step-by-step explanation:
What’s the answer to
(x+y+ 3)(x+y-4)
The answer is [tex]x^2 + 2xy + y^2 - x - y - 12[/tex]
write the equation of each line in point slope form.then graph the line
Slope -1/2, y-intercept 2
Answer:
[tex]y - 3 = - \frac{1}{2}(x + 2)[/tex]
Explanation:
I chose the coordinate of [-2, 3], and according to the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful inserting this coordinate into the formula with their CORRECT signs:
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** It does not matter which coordinate you choose, as long as it falls on the line.
(x^2 +9x +20) ÷ (x+5)
Answer:
x+4
Step-by-step explanation:
If r is seven more than the square of l , then r =
A) l2 + 7
B) l7 + 2
C) (l + 2)7
D) (l + 7)2
what is a trinomial?
Answer:
(of an algebraic expression) consisting of three terms.
Example:
3x2 − 3y2 + 2
Example 2: A Real World Example
Maria decides to take a walk along Central Avenue to purchase a book at the bookstore. On her way, she passes the
Furry Friends Pet Shop and goes in to look for a new leash for her dog. Furry Friends Pet Shop is seven blocks west of the
bookstore. She leaves Furry Friends Pet Shop and walks toward the bookstore to look at some books. After she leaves
the bookstore, she heads east for seven blocks and stops at Ray's Pet Shop to see if she can find a new leash at a better
price. Which location, if any, is the farthest from Maria while she is at the bookstore?
Determine an appropriate scale, and model the situation on the number line below.
HHHHHHHH
Explain your answer. What does zero represent in the situation?
Answer:
Both pet stores are an equal distance away from the book store.
East and West are opposites and she has to go 7 in each direction (from the bookstore) to reach each pet store
Find the quotient of -4 and -9
Answer:
4/9
Step-by-step explanation:
dividing two negatives equal to a positive so -4 and -9 will be 4÷9 which is 4/9
What is the length of the side opposite of angle b
Answer:
B.4 Correct Answer
Step-by-step explanation:
Answer:
4 units B on Edgen
Step-by-step explanation:
How is a mouse like grass in a meadow
A mouse and grass in a meadow are similar as they both play vital roles in the energy flow within a meadow ecosystem. Grass acts as a primary producer, capturing energy from the sun, while the mouse, as a herbivore, acts a primary consumer, eating the grass and moving energy up the chain.
A mouse and grass in a meadow can be seen as similar in the context of a biological ecosystem. In a meadow ecosystem, both play crucial roles.
The grass forms the primary producer layer of the food chain, as it harnesses energy from the sun to produce food via photosynthesis.
This provides the basic energy source for other members of the ecosystem. The mouse, on the other hand, is part of the primary consumer layer of the food chain.
As a herbivore, it consumes the grass for energy, thus transferring the energy obtained from the sun up the food chain. So, the similarity of the mouse and the grass in a meadow lies in their integral roles in the energy flow within an ecosystem.
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four times a number plus three is the same as five plus the number equation
Answer:
2/3
Step-by-step explanation:
4x+3=5+x
4x-x=5-3
3x=2
x=2/3
15) If the point (6, 3) is rotated 180° clockwise about
(2,9), what are the coordinates of the new point?
A. (15,-2)
B. (-2, 15)
C. (1, 12)
D. (12, 1)
Answer:
B. (-2, 15)
Step-by-step explanation:
Pretend that your fixed point [2, 9] is at the origin for now by translating it two units west then nine units south [0, 0]. Now, the same goes for [6, 3]. Translate it two units west then nine units south to get [4, -6]. Then, according to the 180°-rotation rule, you take the OPPOSITE of both the x-coordinate and y-coordinate:
[4, -6] → [-4, 6]
Now, that you have your rotated point, we have to shift EVERYTHING BACK to the way it was from when we shifted the fixed point of [2, 9] to the origin. We do that by translating everything in reverse order, which is 9 blocks north then 2 blocks east:
→ [0, 0] back to [2, 9]
Translation
→ [-4, 6] to the new coordinate of [-2, 15]
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The measure of one of the small angles of a right triangle is 15 less than twice the measure of the other small angle. Find the measure of both angles
Answer:
35° and 55°
Step-by-step explanation:
The sum of the angles of a right rectagle is 180°, with a right angle of 90°.
The tell us that A = 2B-15, so:
180° = 90° + A + B
180° = 90° + 2B - 15 + B
180° - 90° + 15 = 2B + B
105° = 3B
B = 105°/3 = 35°
Now, let's find A:
A = 180° - 90° - 35° = 55°
Using the properties of a right triangle and setting up an equation based on the relationship between the two small angles, we find that the angles measure 35 degrees and 55 degrees, respectively.
To solve the problem involving the angles of a right triangle, we recall that the sum of the angles in any triangle is 180 degrees. In a right triangle, one angle is always 90 degrees, which leaves a total of 90 degrees to be shared between the other two angles.
If we let x represent the measure of one of the small angles, then the problem tells us that the other angle is 2x - 15 degrees.
Therefore, we can set up the following equation to solve for x:
x + (2x - 15) + 90 = 180
Combining like terms gives us:
3x - 15 + 90 = 180
3x + 75 = 180
Now, we subtract 75 from both sides of the equation:
3x = 105
Finally, we divide by 3 to find the measure of x:
x = 35
Having found that one of the small angles measures 35 degrees, we can now find the other small angle:
2x - 15 = 2(35) - 15
= 70 - 15
= 55 degrees.
So, the two small angles of the right triangle are 35 degrees and 55 degrees.
Find the quotient.
22 ÷ (-11) (work shown )
Answer:
-2
*Remember- negative ×/÷ positive= negative. Negative ×/÷ negative=positive.
Explanation:
22÷ -11 (The parenthesis arn't really necessary)
Okay, so you are going to ignore the negative and pretend they are both positive.Divide like normal- how many times does 11 go into 22? 11×2=22. 2 is your answer.Now, is it negative or positive? Look back at the * above. Looking at that, what's your answer? Well, you divided 22 by -11. Negative ÷ positive= negative. Therefore, your answer is -2I hope I was helpful! :D
Write 500,000 in expanded form
Answer:
500,000
Expanded forms can be written like a sentence or stacked for readability as they are here.
Expanded Notation Form:
500,000
+ 0
+ 0
+ 0
+ 0
+ 0
Expanded Factors Form:
5 × 100,000
+ 0 × 10,000
+ 0 × 1,000
+ 0 × 100
+ 0 × 10
+ 0 × 1
Expanded Exponential Form:
5 × 105
+ 0 × 104
+ 0 × 103
+ 0 × 102
+ 0 × 101
+ 0 × 100
Word Form:
five hundred thousand
Step-by-step explanation:
Answers above..
This equation graphed is?
Graph the following points:
(-2, -3)
(-1, -2)
(0, -1)
(1, cuberoot{2} -2}
(7, 0)
Put these numbers in order from least to greatest
1.82, 1.6, 1 4/5
Answer:
1.6, 1 4/5 (1.8), 1.82
Step-by-step explanation:
Answer:
1.6;1 4/5;1.82
For the quadrilateral ABCD diagonal BD is an angle bisector for angles B and D. Find the m∠DAC if m∠ADB = 20°, m∠DBC = 60°.
Answer:
70°
Step-by-step explanation:
If in the quadrilateral ABCD diagonal BD is an angle bisector for angles B and D, then
∠ABD ≅ ∠DBC;∠ADB ≅ ∠BDC.Consider triangles ABD and CBD. In these triangles,
∠ABD ≅ ∠DBC;∠ADB ≅ ∠BDC;BD ≅ BD.Hence, triangles ABD and CBD are congruent by ASA postulate.
So, AD ≅ DC.
Now, consider triangle ADC. This is an isosceles triangle, because AD ≅ DC. In this triangle, m∠ADC = m∠ADB + m∠BDC = 20° + 20° = 40°. AC is the base. Angles DAC and DCA are congruent as adjacent angles to the base AC, so
m∠DAC = 1/2 (180° - 40°) = 70°
Answer:
m∠DAC = 70°
m∠ACB = 30°
Step-by-step explanation:
Quadrilateral LMNO is reflected over the y-axis. What are the coordinates of the image of the vertex N?
A. (-4, 3)
B. (4, 3)
C. (-4, -3)
D. (4, -3)
Answer:
B
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ), thus
N(- 4, 3 ) → N'(4, 3 ) → B
Answer:
B. (4, 3)
Step-by-step explanation:
Since N is four units to the left of the y-axis, reflecting it would make it four units to the right of the y-axis, so you would base this off of the y-coordinate.
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Sixty-six times the sum of nineteen plus fourteen in numerical expression
Answer:
Expression: 66(19+14)
Answer: 2178
Step-by-step explanation:
66(19+14)
66(33)
2178
Answer:
66 x 19 + 14
And because I wanna use my brain, the answer to that equation is 1268
PLEASE HELP! ILL MARK BRAINLIEST
Describe how the graph of y= x2 can be transformed to the graph of the given equation.
y = (x - 15)^2
Shift the graph of y = x2 right 15 units.
Shift the graph of y = x2 left 15 units.
Shift the graph of y = x2 down 15 units.
Shift the graph of y = x2 up 15 units.
Answer:
A,shift the graph of y =x2 right 15 units
Step-by-step explanation:
The new equation is subtracting 15 from the value of x.
When you subtract a number from x, the graph moves to the right by the number you subtract.
x-15, shifts the graph right 15 units.
The answer is: Shift the graph of y = x2 right 15 units.
ASAAAPPPPP
what is f(x) = 3(x+3)-3
Answer:
Step-by-step explanation:
[tex]f(x) = 3(x + 3) - 3[/tex]
[tex]f(x) = 3x + 9 - 3[/tex]
[tex]f(x) = 3x + 6[/tex]
square root of 15 rounded to the nearest hundredth
The square root of 15 is approximately 3.872983346. However, when rounded to the nearest hundredth, it is 3.87.
Explanation:The question is asking for the square root of 15 rounded to the nearest hundredth. The square root of any number is the value that, when multiplied by itself, gives the original number. It's generally represented with the symbol √.
In the case of 15, if you type in your calculator the square root of 15, you get an answer of approximately 3.872983346. However, the student question asks for this value rounded to the nearest hundredth. Thus, you would round this to 3.87. So, the square root of 15 rounded to the nearest hundredth is 3.87.
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Final answer:
The square root of 15 is approximately 3.87 when rounded to the nearest hundredth, following the rules of rounding where you round down if the third decimal is less than 5.
Explanation:
The question asks for the square root of 15 rounded to the nearest hundredth. To find this, we calculate the square root using a calculator, which gives us an approximate value. We then apply the rules of rounding: if the digit after the hundredths place is 5 or higher, we round up, and if it is lower than 5, we round down. This ensures that our answer is as close as possible to the actual square root without exceeding two decimal places.
Performing the calculation, we find that the square root of 15 is approximately 3.87298. Since the third decimal place (after the hundredth) is '2', which is less than 5, we round down. Therefore, the square root of 15 rounded to the nearest hundredth is 3.87.
adam drove 280 miles in 4 hours . on average, how fast did he drive in hours per mile ? Express your answer in simplest form
Adam drove at an average speed of 70 miles per hour.
Explanation:The speed at which Adam drove can be calculated using the formula for speed: speed = distance / time. In this case, Adam drove 280 miles in 4 hours. So to calculate his average speed in hours per mile, we take the provided distance and divide it by the provided time which gives us an average speed of 70 miles per hour.
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Does (9,6) make the inequality y > 6 true?
No. The inequality is false.
In the given point (9,6) the second number is the Y value.
So if you replace Y with the given Y value of 6, the inequality is now 6 > 6 which is false since, 6 is = 6.