Answer:
The integer values of x are 5 and 6
Step-by-step explanation:
we have
Inequality A
[tex]4x-2>17[/tex]
solve for x
adds 2 both sides
[tex]4x>19[/tex]
divide by 4 both sides
[tex]x> 4.75[/tex]
solution A is the interval (4.75,∞)
Inequality B
[tex]3x+5<24[/tex]
solve for x
subtract 5 both sides
[tex]3x<19[/tex]
divide by 3 both sides
[tex]x<6.33[/tex]
solution B is the interval (-∞,6.33)
The solution of the inequality A and the inequality B is
(4.75,∞) ∩ (-∞,6.33)=(4.75,6.33)
The integer values of x are 5 and 6
Final answer:
The integer value of x for which both inequalities 4x - 2 > 17 and 3x + 5 < 24 are true is x = 5.
Explanation:
To find the integer value of x for which the inequalities 4x – 2 > 17 and 3x + 5 < 24 are both true, we solve each inequality step by step.
For the first inequality, 4x – 2 > 17, add 2 to both sides to get 4x > 19. Then divide by 4 to isolate x, yielding x > 4.75.For the second inequality, 3x + 5 < 24, subtract 5 from both sides to get 3x < 19. Then divide by 3 to isolate x, resulting in x < 6.3333.Both inequalities must be true, so we need to find the interval where x > 4.75 and x < 6.3333. Since x must be an integer, the only integer within this range is x = 5.Ma ktoś zadania od matematyki klasa 6 matematyka z kluczem część 2 ?? Podaję strony. 45,46,56,62,63 i 64 . Wszystkie zadania z tych stron
Answer: kluczem część 3
Step-by-step explanation:
zadania z tych stron 4
Explain using coordinate geometry, why the figure below is a rectangle.
Answer:
it is a rectangle because the shape has to coordinating sides and the y values on the top points are the same and that y values on the bottom points are also the same.
Step-by-step explanation:
hope this helps have a wonderful day
In the figure below, \overline{AD} AD start overline, A, D, end overline and \overline{BE} BE start overline, B, E, end overline are diameters of circle PPP. What is the arc measure of \stackrel{\LARGE{\frown}}{CD} CD ⌢ C, D, start superscript, \frown, end superscript in degrees? ^\circ ∘ degrees
Answer:
The measure of the arc CD = 64°
Step-by-step explanation:
It is required to find the measure of the arc CD in degrees.
So, as shown at the graph
BE and AD are are diameters of circle P
And ∠APE is a right angle ⇒ ∠APE = 90°
So, BE⊥AD
And so, ∠BPE = 90° ⇒(1)
But it is given: ∠BPE = (33k-9)° ⇒(2)
From (1) and (2)
∴ 33k - 9 = 90
∴ 33k = 90 + 9 = 99
∴ k = 99/33 = 3
The measure of the arc CD = ∠CPD = 20k + 4
By substitution with k
∴ The measure of the arc CD = 20*3 + 4 = 60 + 4 = 64°
5x-2y=30 complete the missing value in the solution to the question (8, )
Answer:
(8,5)
Step-by-step explanation:
5x-2y=30
lets substitute "8" as x and see where that takes us
5(8)-2y=30
40-2y=30
subtract 40 on both sides
-2y=-10
divide by "-2" on both sides
y=5
(8,5) is your answer
Answer:
asd
Step-by-step explanation:
:
Consider the expression 5.758−2.317. Estimate the difference by rounding each number to the nearest whole number and then subtracting.
Answer:
4
Step-by-step explanation:
5.728 rounds up to 6 because it is greater than 5.50 and 2.317 rounds down to 2 since it is less than 2.5. 6 - 2 = 4.
Final answer:
To estimate the difference between 5.758 and 2.317, you round 5.758 up to 6 and 2.317 down to 2, and then subtract to get an estimated difference of 4.
Explanation:
The student is asking how to estimate the difference between two numbers by rounding them to the nearest whole number before subtracting.
To estimate the difference between 5.758 and 2.317, we first round each number to the nearest whole number:
5.758 rounds up to 6 because the first digit after the decimal (7) is greater than 5.
2.317 rounds down to 2 because the first digit after the decimal (3) is less than 5.
After rounding the numbers, we perform the subtraction:
6 - 2 = 4
Therefore, the estimated difference is 4.
Malia's family traveled
7
10
of the distance to her uncle’s house on Saturday. They traveled
2
3
of the remaining distance on Sunday. What fraction of the total distance to her uncle’s house was traveled on Sunday?
Answer:
3/9
Step-by-step explanation:
The width of a rectangle is 4x - 4.25 feet and the length is 7x + 7 feet. Write and
expression to find the perimeter of the rectangle.
Perimeter is 2l+2w in the case of a rectangle, so you would write:
2(4x - 4.25) + 2(7x +7)
Answer: The expression can be written as Perimeter = 22x + 5.5
Step-by-step explanation: The perimeter of a rectangle is given as 2(L + W), where L is the length and W is the width. In the question, the length L has been given as 7x + 7 while the width W has been given as 4x - 4.25.
Inserting the values of the length and the width, the perimeter can now be properly written as,
Perimeter = 2(L + W)
Perimeter = 2( {7x + 7} + {4x - 4.25} )
By collecting like terms we now have
Perimeter = 2(11x + 2.75)
Perimeter = 22x + 5.5
If the sum of the interior angles of a polygon is 3780, how many sides does it have?
Answer:
23
Step-by-step explanation:
Sum of angles = (n - 2) x 180
3780 = (n - 2) x 180 Divide both sides by 180
21 = n - 2
+ 2 + 2 Add 2 to both sides
23 = n
The shape has 23 sides.
If this answer is correct, please make me Brainliest!
The polygon having the sum of the interior angles 3780° have 23 sides.
What is interior angle?The inner of the two angles formed where two sides of a polygon come together is called the interior angle.
Given that, the sum of the interior angles of a polygon is 3780, we need to find the number of sides of the polygon,
We know that,
The formula for calculating the sum of interior angles is (n-2) × 180° where is the number of sides.
Therefore,
3780° = (n-2)×180°
n-2 = 3780° / 180°
n-2 = 21
n = 21+2
n = 23
Hence, the polygon having the sum of the interior angles 3780° have 23 sides.
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I need help with this IXL for my homework! Please help ASAP!! I'll mark BRAINLIEST if its right!
The 1 copy makes the cost equivalent in two options and the cost of 1 copy is $41.
Step-by-step explanation:
The given information are that,
Elsa could use a printer in which it cost a $38 setup fee and $3 for each copy.
Elsa could go to a supply store in which it cost $36 up-front fee and $5 for each copy.
To find the same amount for certain number of copies in both the cases :
Let us assume that the number of copies be 'x'.
In the first case, the total cost will be = setup fee + cost for x copies.
⇒ Total cost = 38 + 3x
In the second case, the total cost will be = up-front fee + cost for x copies.
⇒ Total cost = 36 + 5x
To find the x value :
Equating the total cost of both the cases, we get
⇒ 38 + 3x = 36 + 5x
⇒ 38-36 = 5x-3x
⇒ 2 = 2x
⇒ x = 1 copy
Therefore, taking 1 copy make the two options equivalent in terms of cost.
The cost of 1 copy = 38+ 3(1) = 41 dollars.
Therefore, it would cost $41 for 1 copy.
how do you turn 245/360 into a decimal
Answer:
0.53
Step-by-step explanation:
If you want to make it simpler you can simplify it.
To make our lives more simpler lets use that route.
[tex]\frac{245}{360} =\frac{49}{75}[/tex]
Now you would divide:
0.53...
So, 0.53
Hope this helped!
What is the answer to 1.5=0.6(w+0.4)
Answer:
W= 2.1
Step-by-step explanation:
The solution to the equation 1.5 = 0.6( w + 0.4 ) is w = 2.1.
What is the solution to the given equation?Given the equation in the question:
1.5 = 0.6( w + 0.4 )
To solve the equation 1.5 = 0.6(w + 0.4) for "w," first apply distributive property:
1.5 = 0.6( w + 0.4 )
Distribute 0.6 on the right side of the equation:
1.5 = 0.6(w) + 0.6(0.4)
Simplifying, we get:
1.5 = 0.6w + 0.24
Subtract 0.24 from both sides of the equation:
1.5 - 0.24 = 0.6w + 0.24 - 0.24
1.5 - 0.24 = 0.6w
1.26 = 0.6w
0.6w = 1.26
To solve for "w", divide both sides by 0.6:
0.6w / 0.6 = 1.26 / 0.6
w = 1.26 / 0.6
w = 2.1
Therefore, the value of w is 2.1.
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An sitplane pilot over the Pacific sights an stol at an angle of depression of 10%. At this time,
the horizontal distance from the plane to the stoll is 5.172 meters.
5084
5093
898
912
Mr. Thompson got some money for his birthday He spent 1/5 of it on dog treats. Then, he divided the remainder among his 3 favorite charities.
If he donated $60 to each charity, how much money did he receive for his birthday?
Answer:
$225 of birthday money
Step-by-step explanation:
he spent 20 percent (1/5) of the money on dog treats, and the remaining 80 percent (4/5) went to 3 different charities. If $60 dollars were given to each charity, that means a total of $180 dollars was given to charity. if 4/5 of the money is equal to $180, we can divide 180 by 4 to get $45 dollars. this means that 1/5 of the birthday money would be equal to $45 dollars. so to find 5/5, or 100% of the money, simply multiply $45 by the denominator, 5, to get the answer. the total birthday money received was $225 dollars, and $45 dollars of that was used for dog treats.
The amount of money Mr. Thompson received for his birthday, work backwards from how much he donated to charities after spending 1/5 on dog treats, resulting in $300.
To find out how much money Mr. Thompson received for his birthday, we will work backwards from the information given.
Let's assume he received x amount of money for his birthday.
He spent 1/5 of it on dog treats, so he spent (1/5)x on dog treats.
The remainder after buying the dog treats is (4/5)x.
Since he divided this among 3 charities, each charity received $60, so [tex](\frac{4}{5} )x = 3*60.[/tex]
Solving this equation, we find x = $300.
Hence, Mr. Thompson received $300 for his birthday.
Find the equation of a line that passes through the point
(0,7) with a slope that is the opposite of the slope of the
line with equation y = -x -5.
Answer:
y=x+7
Step-by-step explanation:
y-7=1(x-0)
y-7=x-0
y=x+7
Answer:
y=x+7
Step-by-step explanation:
You need a slope that is opposite the slope of equation y=-x-5. To do this you need to find the opposite reciprocal. For -1, the opposite reciprocal would be 1. So, your slope is going to be 1.
You need the line to pass through (0,7), which is a point on the y axis. b in y=mx+b is the y-intercept. So, you would make 7 your b.
By plugging in these numbers you end up with y = x + 7
6. A triangular sail has a base length of 2.5 meters. The area of the sail
is 3.75 square meters. How tall is the sail?
Answer:
3 meters
Step-by-step explanation:
Area of a Triangle
= 1/2 x b x h
Given
Base Length b = 2.5 meters
Area = 3.75 square meters
Height h = ?
Therefore
3.75 = 1/2 x 2.5 x h
3.75 = 2.5/2 x h
3.75 = 1.25 x h
Divide both sides by 1.25
3.75/1.25 = 1.25/1.25 x h
3 = h
h = 3 meters
The sail is 3 meters tall
What is the value of x?
The value of x is 3.
Solution:
In the given triangle, a = 4, b = 3, x = ? and y = 2.25.
To find the value of x:
The image of the formula is attached below.
Angle bisector theorem:
An angle bisector of a triangle divides the interior angle's opposite side into two segments that are proportional to the other two sides of the triangle.
[tex]$\frac{a}{b}=\frac{x}{y}[/tex]
[tex]$\frac{4}{3} =\frac{x}{2.25}[/tex]
Do cross multiplication.
9 = 3x
Divide by 3 on both sides,
3 = x
Switch the sides.
x = 3
The value of x is 3.
A toy store buys action figures from a factory for $8.00 per action figure. If they mark-up the toys 110% before selling them, what is the price of one of the action figures in the store?
Answer:
$8.80
Step-by-step explanation:
Answer:
$8.80
Step-by-step explanation:
110% is the whole cost plus 10%. you have you're cost at 8$ add 10% and that is 80 cents.
Consider the following equation f(x)=(x^2+4)/(4x^2-4x-8)
Question:
Consider the following equation: f(x)=x^2+4\4x^2-4x-8 name the vertical asymptote(s)
Answer:
The vertical asymptotes are x = 2 or x = -1
Solution:
Given that,
[tex]f(x)=\frac{x^2+4}{4x^2-4x-8}[/tex]
For vertical asymptotes, set the denominator to zero and then solve the quadratic equation
[tex]4x^2-4x-8=0\\\\Divide\ by\ 2\\\\x^2 - 2x - 4 = 0[/tex]
[tex]Split\ the\ middle\ term\\\\x^2+x-2x-2=0\\\\Group\ the\ equation\\\\(x^2 + x) - (2x + 2) = 0\\\\Factor\ the\ common\ term\\\\x(x + 1) - 2(x + 1) = 0\\\\(x + 1)(x - 2) = 0\\\\Therefore,\\\\x + 1 = 0\\\\x = -1\\\\And\\\\x - 2 = 0\\\\x = 2[/tex]
Thus the vertical asymptotes are x = - 1 and x = 2
Answer: x=-1 and x=2 because (this is where the function is undefined) name of horizontal asymptote (y=1/4) because (m=n)
Step-by-step explanation: on edge
Can someone explain this?
Answer:
First, you know that a triangle has 180° total. So, you take 180-38-25 and that equals 117. So the corner inside the triangle is 117. So a straight line is also equal to 180. You take 180-117 and that is 63. 4x+3 = 63. You subtract 3 from both sides and get 4x = 60. To get x by itself you divide by 4 and x = 15.
I need help with this question please
ANSWER ASAP!!!!
Answer:
256 to the 2nd power
Step-by-step explanation: you see 4 tothe 4th power right. your going to multiply 4x4 4 times. The answer is 256 and you add the 2 above it.Got it
What is 52,683 written in scientific notation? A. 52.683 x 10 B. 0.52683 x 10 C. 5.2683 x 10 D. 5.2683 x 10
Answer:
5.2683 x 10^4
Step-by-step explanation:
hope that help
Angela chooses between having $1,000 now, and investing it in a savings account so that she can have $1,050 a year from now, what is this called?
Final answer:
Compound interest is the concept discussed in this question. It refers to the interest calculated on both the initial principal amount and any accumulated interest from previous periods.
Explanation:
The subject of this question is Mathematics. Specifically, it relates to the concept of compound interest. Compound interest is the interest that is calculated on both the initial principal amount and any accumulated interest from previous periods. In this case, Angela is choosing between having $1,000 now or investing it in a savings account to have $1,050 a year from now. The $50 earned is the result of the interest earned on the initial $1,000.
The length of a rectangular state park is 2 miles longer than twice the width. The area of the park is 84 square miles. What is the width of the park?
Answer:
Step-by-step explanation:
hello : look this solution
Final answer:
To find the width of a rectangular state park with an area of 84 square miles where the length is 2 miles longer than twice the width, we set up a quadratic equation and solve for the width. The width of the park is 6 miles.
Explanation:
The question involves solving a quadratic equation to find the width of a rectangular state park where the length is 2 miles longer than twice its width, and the area is 84 square miles. To solve this problem, let's let w represent the width of the park.
According to the problem, the length l can be expressed as:
l = 2w + 2
The area A of a rectangle is given by the formula:
A = l × w
Substituting the given area and the expression for the length, we have:
84 = (w)(2w + 2)
Which simplifies to:
84 = 2w² + 2w
And further simplifies to:
0 = 2w² + 2w - 84
Dividing the entire equation by 2 to simplify:
0 = w² + w - 42
Now, we solve this quadratic equation for w, the width of the park. Using the quadratic formula or factoring (if possible), we find the positive value of w, which could be the width of the park since a width can't be negative:
w = 6
So, the width of the park is 6 miles.
Find the value of x...
x/6=15/20
Answer:
4 1/2
Step-by-step explanation:
x/6 = 15/20
Cross multiply
X x 20 = 6 x 15
20x = 90
Divide both sides by 20
x = 90/20
x = 9/2
x = 4 1/2
Help pleaseeeee surface area again
Answer:
490 ft^2
Step-by-step explanation:
Base: 14 × 7 = 98 (×4 = 392)
Square faces: 7 × 7 = 49 (×2 = 98)
Add: 392 + 98 = 490
ILL GIVE BRAINLIST!!!! must explain!!!
Answer:
x = 2.5 y = 5
Step-by-step explanation:
Image and pre image are similar figures
4/2 = 5/x
x = 5/2 = 2.5
4/2 = (y+1)/3
6 = y+1
y = 5
3a^2 (ab^2+b^2)=
How much
Answer is 3a²b (a + b)
Step-by-step explanation:
Step 1: Find 3a² (ab²+b²)⇒ 3a² (ab²+b²) = 3a³b + 3a²b² = 3a²b (a + b)
17. DIG DEEPER! The houses are identical.
Pls help me answer B and C.
(picture above)
Answer:
B: M
C: Side AB is 20ft
C: Perimeter = 96ft
Finding a Percentile In Exercises 35–38, use the data set, which represents the ages of 30 executives.
43 57 65 47 57 41 56 53 61 54 56 50 66 56 50 61 47 40 50 43 54 41 48 45 28 35 38 43 42 44
35. Find the percentile that corresponds to an age of 40 years old.
36. Find the percentile that corresponds to an age of 56 years old.
37. Which ages are above the 75th percentile?
38. Which ages are below the 25th percentile?
To find the percentile, sort the data, count the values below the given value, divide by the total number of values, and multiply by 100.
Explanation:To find the percentile that corresponds to a specific age in a data set, you need to calculate the percentile rank. The percentile rank represents the percentage of values in the data set that are below the given value. Here are the steps to find the percentile:
Sort the data set in ascending order.Count the number of values in the data set below the given value.Divide the count by the total number of values in the data set.Multiply the result by 100 to get the percentile rank.For example, to find the percentile that corresponds to an age of 40 years old in the given data set, you would follow these steps:
Sort the data set: 28, 35, 35, 38, 40, 41, 41, 42, 43, 43, 44, 45, 47, 47, 48, 50, 50, 50, 53, 54, 54, 56, 56, 56, 57, 57, 61, 61, 65, 66Count the number of values below 40: 5Divide 5 by 30 (total number of values) to get 0.1667Multiply 0.1667 by 100 to get the percentile rank: 16.67%Learn more about percentile here:https://brainly.com/question/31390269
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How do you graph 1.50x =60? I need to know the y and x axis
Answer:
you could graph y = 1.5x and y=60, then the intersection at (40,60) represents the solution of the equation.