Answer:
x = 17.3333
Step-by-step explanation:
Solve for x:
(3 x)/8 + 6.75 = 13 + 1/4
Hint: | Put the fractions in (3 x)/8 + 6.75 over a common denominator.
Put each term in (3 x)/8 + 6.75 over the common denominator 8: (3 x)/8 + 6.75 = (3 x)/8 + 54/8:
(3 x)/8 + 54/8 = 13 + 1/4
Hint: | Combine (3 x)/8 + 54/8 into a single fraction.
(3 x)/8 + 54/8 = (3 x + 54)/8:
(3 x + 54)/8 = 13 + 1/4
Hint: | Put the fractions in 13 + 1/4 over a common denominator.
Put 13 + 1/4 over the common denominator 4. 13 + 1/4 = (4×13)/4 + 1/4:
(3 x + 54)/8 = (4×13)/4 + 1/4
Hint: | Multiply 4 and 13 together.
4×13 = 52:
(3 x + 54)/8 = 52/4 + 1/4
Hint: | Add the fractions over a common denominator to a single fraction.
52/4 + 1/4 = (52 + 1)/4:
(3 x + 54)/8 = (52 + 1)/4
Hint: | Evaluate 52 + 1.
52 + 1 = 53:
(3 x + 54)/8 = 53/4
Hint: | Multiply both sides by a constant to simplify the equation.
Multiply both sides of (3 x + 54)/8 = 53/4 by 8:
(3 x + 54)/(8 1/8) = 1/4×1/(1/8) 53
Hint: | Any nonzero number divided by itself is one.
1/8×1/(1/8) = 1:
3 x + 54 = 1/4×1/(1/8) 53
Hint: | Write 1/4×1/(1/8) as a single fraction.
Multiply the numerator of 1/4×1/(1/8) by the reciprocal of the denominator. 1/4×1/(1/8) = 1/4×8:
3 x + 54 = 1/4×8×53
Hint: | Express 1/4×8×53 as a single fraction.
1/4×8×53 = (8×53)/4:
3 x + 54 = (8×53)/4
Hint: | In (8×53)/4, divide 8 in the numerator by 4 in the denominator.
8/4 = (4×2)/4 = 2:
3 x + 54 = 2×53
Hint: | Multiply 2 and 53 together.
2×53 = 106:
3 x + 54 = 106
Hint: | Isolate terms with x to the left hand side.
Subtract 54 from both sides:
3 x + (54 - 54) = 106 - 54
Hint: | Look for the difference of two identical terms.
54 - 54 = 0:
3 x = 106 - 54
Hint: | Evaluate 106 - 54.
106 - 54 = 52:
3 x = 52
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 3 x = 52 by 3:
(3 x)/3 = 52/3
Hint: | Any nonzero number divided by itself is one.
3/3 = 1:
x = 52/3
Hint: | Express 52/3 in decimal form.
52/3 = 17.3333:
Answer: x = 17.3333
Answer:
52/3
Step-by-step explanation:
The answer above me ^^
Write an equation in slope-intercept form of the line that is a segment bisector of both AB and CD. Ay 4 B(6,3) A(-4,1) -4 -2 2. 4 6 X D(5, -1) -2 4 C1-1,-5) -6
Answer:
y = -5x + 7
Step-by-step explanation:
Given that the location of the points are:
A(-4, 1), B(6, 3), C(-1, -5) and D(5, -1)
The location of the bisector of a line is given as:
[tex]x=\frac{x_1+x_2}{2} \\\\y=\frac{y_1+y_2}{2}[/tex]
If E(x1, y1) is the bisector of segment AB then the location of E is at:
[tex]x_1 =\frac{-4+6}{2}=1 \\\\y_1=\frac{1+3}{2}=2[/tex]
Hence E is at (1, 2)
If F(x2, y2) is the bisector of segment CD then the location of F is at:
[tex]x_2 =\frac{-1+5}{2}=2 \\\\y_2=\frac{-5-1}{2}=-3[/tex]
Hence F is at (2, -3)
Hence the line that is a segment bisector of both AB and CD pass through the point (1, 2) and (2, -3).
The equation of the line is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-2=\frac{-3-2}{2-1}(x-1)\\ \\y-2=-5(x-1)\\\\y-2=-5x+5\\\\y=-5x+7[/tex]
Answer: The equation is: y = -5x + 7.
Step-by-step explanation:
Given that the location of the points are:
A(-4, 1), B(6, 3), C(-1, -5) and D(5, -1).
Midpoint of A(-4, 1), B(6, 3) is = [tex]\left(\frac{\left(-4+6\right)}{2},\frac{\left(1+3\right)}{2}\right)=(1,2)[/tex].
Midpoint of C(-1, -5) and D(5, -1) is [tex]\left(\frac{\left(-1+5\right)}{2},\frac{\left(-5-1\right)}{2}\right)=(2,-3)[/tex].
Using point slope formula:
[tex]\frac{y-2}{x-1}=\frac{-3-2}{2-1}\\\frac{y-2}{x-1}=-5\\y-2=-5x+5\\y=-5x+7[/tex]
Learn more: https://brainly.com/question/1594198
What is the missing output?
Answer:
28
Step-by-step explanation:
We substitute all of the x's for threes to get the output.
f(3)= 3(9)-(2*3)+7
f(3)= 27-6+7
f(3)= 21+7
f(3)= 28
SAS-10 Worksheet.
1. Create a graph correspond to the map.
Step-by-step explanation:
texas is big, louisiana is on the bottam side u have to give me a brainly
I need help 9th grade
b is the correct answer because it equals the amount of the proplem
Answer:
its C.
Step-by-step explanation:
3+ (-5) explain please i need it asap so... hurry! pls
Answer:
-2
Step-by-step explanation:
3 + -5
Adding -5 is like subtracting 5
3 -5
-2
Answer:
-2
Step-by-step explanation:
You need to add a positive number and a negative number.
This is how you add a positive number and a negative number.
First, get rid of the signs and make them both positive.
Now you have 5 and 3.
Do a subtraction the way you first learned subtraction in elementary school, which is the larger number minus the smaller number.
5 - 3 = 2
The answer is either 2 or -2.
To finish the original addition, look at the two original numbers. 5 is greater than 3. 5, the greater value, is on a negative number, so the answer is negative.
3 + (-5) = -2
Please solve! 50 points
Answer:
36
Step-by-step explanation:
First of all, the area of a circle is always pi(r)^2, which we can then substitute values. We will get pi(10)^2, and once we simplify that, we get 100pi as the area. Since we know that the area of the shaded sector is 10 pi, we can divide 10pi by 100pi to get 1/10. 1/10 is the area of the shaded sector compared to the area of the whole circle. Multiply 1/10 by the angle measure of a circle, which is 360, to get 36 degrees.
Answer:
36
Step-by-step explanation:
The answer is 36 trust me
Determine the domain and range of the given function. The domain is . The range is
Answer:
A: all real numbers
and
B: All real numbers greater than or equal to -2
Step-by-step explanation:
edg2021
The domain refers to values on the X-axis, and as you can see there are arrows on the orange line, meaning it goes on "forever". This is all real numbers.
The y-axis (range) has the line go through at -2. The line is pointing up, which means all the numbers are greater than -2, or could be equal to -2.
Answer:
lA: all real numbers
B: All real numbers greater than or equal to -2
Step-by-step explanation:
If ∠ABD and ∠CBD are a linear pair, m∠ABD = (3x+31)°, m∠CBD = (2x-6)°, then find m∠ABD. *
Answer:
∠ ABD = 124°
Step-by-step explanation:
A linear pair of angles sum to 180°, thus
∠ ABD + ∠ CBD = 180 , substitute values
3x + 31 + 2x - 6 = 180, that is
5x + 25 = 180 ( subtract 25 from both sides )
5x = 155 ( divide both sides by 5 )
x = 31
Thus
∠ ABD = 3x + 31 = 3(31) + 31 = 93 + 31 = 124°
A car dealership sold 36 cars in April. The dealership wants to increase the number of cars sold by 40% in May. How many cars will the dealership need to sell to reach their goal?
Answer:
51Step-by-step explanation:
Number of cars sold in April:
36Desired increase rate:
40%Increase in number:
36*40/100 ≈ 15Number of cars to be sold in May:
36 + 15 = 51Answer:
237
Step-by-step explanation:
If the domain of the function f(x)=2x2- 8is {-2, 3, 5}, then the range is
Answer:
{0, 10, 42}
Step-by-step explanation:
Domain is set of input values and range is set output values.
For the function f(x) = 2x² - 8 and domain set of {-2, 3, 5}
Range is:
f(-2) = 2(-2)² - 8 = 0f(3) = 2*3² - 8 = 10f(5) = 2*5² - 8 = 42Range: {0, 10, 42}
If y = 2x and 3x – 3y = 2, then x = what ?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='. The value of x in the two of the given equations is 2/–3.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that y = 2x and 3x – 3y = 2, therefore, if we substitute the value of y from y=2x into the second equation 3x-3y=2, then,
3x – 3y = 2
3x – 3(2x) = 2
3x – 6x = 2
–3x = 2
x = 2/–3
Hence, the value of x in the two of the given equations is 2/–3.
Learn more about Equation here:
https://brainly.com/question/14686792
#SPJ5
When Emmett began his science experiment, he has 20 millimeters of an unknown solution. During the experiment, the change in the volume of the solution was -9 milliliters. What was his final volume of the solution.
To solve the problem, dakota added 20+( -9 ) and came up with an answer of -11 milliliters. Is Dakota correct? Why or why not ?
A : yes, dakota is correct
B: No. The answer should have been 11 milliliters, not -11 milliliters, because the volume should not be negative
C: No. Dakota should have subtracted 20 - (-9) because the volume decreased
Answer:
no the answer should be 11
Step-by-step explanation:
model the following expression: - 8 + 5.
Answer:
-8+5 =-3that is answer
Answer:
-8 + 5 = -3
Step-by-step explanation:
(Image)
PLZ HELP ASPP WILL MARK UOU AS BRAINLIST
Answer:
4.5sqrt5
Step-by-step explanation:
Lines CE and AD intersect at point B. 37° What is the measure of angle DBE? 370 530 O 1270 0 1430
Answer:
idk how to answer
Step-by-step explanation:
i need more info
Answer:
127 degrees
Step-by-step explanation:
it obtuse
Combining Like Terms Simplify -2n(9-10n)
Answer:
-18n+20n^2
you just have to distribute
What is the prime factorization of 28? Please Help! This is due tomorrow! I really want to get an A! Help, please!!!!!!!!!!!!
If miley has 200 pencils and Katie has 300 more pencils then how many more does Katie have then miley
Answer: 300
Step-by-step explanation: 300+200=500
then 500-200=300
Answer:
answer is 300
Step-by-step explanation:
it explains that she has 300 more
name the part of the circle and explain your answer. (not radius)
When a number is doubled and then added to 24,the result is 49
Answer:
12.5 has to be the number that was doubled.
Step-by-step explanation:
24+2x=49 is your equation
you subtract 24 from 49 you get 25
25 divided by 2 is 12.5 there for 12.5+12.5 is 25
25+24=49
Hope this helps!
Evaluate 8a + 3b - 10 + c^2 when a = 2,b = 5 and c = 4
The answer to your problem is 37.
Can you please help ASAP!!! WILL MARK YOU BRAINLIEST Which of the following steps would not be necessary when using the square root property to solve a quadratic equation? When taking the square root of both sides, use ± on the square root of the constant. The square root property may be applied only if the constant is positive. Isolate the quantity being squared. After applying the square root property, solve the resulting equations.
Answer:
The square root property may be applied only if the constant is positive
Step-by-step explanation:
Defenitly sure because I did ASAP also! Your Welcome! Please Mark me Brainliest!
Janelle is using a piece of cardstock to create an open box with no top. The cardstock is 8 inches by 11 inches. She cuts a square with length out of each corner and folds up the sides to create the box. Find the volume of the box, , in standard form.
Answer: 4x^3-38x^2+88x
Step-by-step explanation:
The volume of the box in standard form is 4x³ - 38x² + 88x
Since Janelle cuts a square of side length x out of each corner of the cardstock, we have a length x + x = 2x cut out of each dimension of the cardstock.
Since the dimensions of the cardstock are 8 inches by 11 inches, cutting out a length of 2x inches from each dimension to produce the length, L and width, w of the open box, we have the length of the open box, L = 8 -2x and the width of the open box, W = 11 - 2x.
Since the height of the open box is the length x of the square cut out of each corner, and the open box is a rectangular box,
So, the volume of the box is
V = LWx
Substituting the values of the variables into the equation, we have
V = LWx
V = (8 - 2x)(11 - 2x)x
Expanding the brackets, we have
V = (88 - 16x - 22x + 4x²)x
V = (88 - 38x + 4x²)x
V = 88x - 38x² + 4x³
Re-arranging, we have
V = 4x³ - 38x² + 88x
So, the volume of the box in standard form is 4x³ - 38x² + 88x
Learn more about volume of an open box here:
https://brainly.com/question/2281561
Side AB measures five units, Side BC is two units, Side CD is five units, side DA is two units. what is the correct length for each side of the translated figure
Answer:
Step-by-step explanation:
It's given in this question,
Length of side AB = length of side CD = 5 units
Length of side BC = length of side AD = 2 units
If the given quadrilateral is translated lengths of all the image sides will not be equal because translation of a figure is a rigid transformation.
And in rigid transformations length of the sides and the angles between the sides never change.
Answer:
first is 5 second is 2 then the third on is 5 then last on is 2 so the order should be 5,2,5,2 Step-by-step explanation:
Continue each pattern with the next two numbers.
2.11,13,16,20,25,31,38?
Answer:
the next two numbers would be: 46 and 55
Step-by-step explanation:
the pattern is adding. you added 2 to 11, 3 to 13, 4 to 16, 5 to 20, 6 to 25, and 7 to 31.
so you just add 8 to 38, and add 9 to whatever you got when you added 8 to 38, which was 46
PLEASEEE HELPP ME !!! I NEED THE ANSWERS ASAP!!!
Answer:
1.
Step-by-step explanation:
Since the line segment FH bisects angle EFG, angle HFG = Half of Angle EFG.
Angle EFG = 177 - 9x. Angle HFG = 92 - 8x.
177 - 9x = 2(92 - 8x)
177 - 9x = 184 - 16x
7x = 7
x = 1.
Step-by-step explanation:
x=85 hope it helps you. mark as brilliant
Round to the nearest whole number.
432.846
Answer: 433 of course
432 is the whole number and 846 is the decimal,
the number closest to the whole number is 8
we can only round the number forward if the number is 5 or more than 5 (6,7,8,9)
so 432.856 rounds to 433
Answer:
433
Step-by-step explanation:
846 is closer to 433 than it is to 432.
So, the answer is 433.
Hope this helps!
A cylinder has base radius 4 feet and height 8.5 feet. Find its volume.
Bamboo plants can grow 91 centimeters per day. What is the approximate growth of the plant in inches? Round to the nearest hundredth
Answer:
35 in per day Step-by-step explanation:
Simplify 7 to the power of 6 ⋅ 7 to the power of 5.