Answer:
It is 25.13 (simplified)
Step-by-step explanation:
3.14(pi) x 8 is 25.14
Combine like terms
4x+3(2x+5b)-4b-2x+6
Answer:
[tex]\boxed{\sf{8x+11b+6}}[/tex]Step-by-step explanation:
To solve this problem, you have to combine like terms of x and b from one side of the equation.
4x+3(2x+5b)-4b-2x+6Combine like terms.
3(2x+5b)+4x-2x-4b+6
Solve.
4x-2x=2x
Rewrite the problem down.
3(2x+5b)+2x-4b+6
Expand the form.
Use a distributive property.
Distributive property:
A(B+C)=AB+AC
3(2x+5b)
Multiply.
3*2x=6x
3*5b=15b
Rewrite the problem.
6x+15b
6x+15b+2x-4b+6
Combine like terms.
6x+2x+15b-4b+6
Add the numbers from left to right.
6x+2x=8x
8x+15b-4b+6
Then, you add again.
15b-4b=11b
= 8x+11b+6
Therefore, the final answer is 8x+11b+6.I hope this helps you! Let me know if my answer is wrong or not.
Answer:
8x+11b+6
Step-by-step explanation:
!!40 points and Brainliest if it’s correct!!ANSWER IT ONLY IF YOU KNOW THE ANSWER. IF YOU DONT KNOW DONT ANSWER IT. Make sure you explain please!
Which of the following shows the correct first step to solve x^2 - 16x = -21 by completing the square?
A)x^2 - 16x + 64 = -21
B) x^2 - 16x + 64 = -21 + 64
C) x^2 - 16x + 16 = -21 + 16
D) x^2 - 16x + 8 = -21 + 8
Answer:
B) [tex]x^{2} -16x+64=-21+64[/tex]
Step-by-step explanation:
The first step to completing the square is by dividing "b" by 2, squaring that number, and adding it on both sides. In this case, 16/2 = 8 and 8 squared = 64. In answer choice B, this is correctly added to both sides of the equation.
See the full steps for completing the square below. If you're still stuck on this, I suggest watching the completing the square video on Tutors.com. It is very helpful!
Have a great day!
What is the area of triangle rst? 6 square units 9 square units 12 square units 18 square units
The area of the considered triangle RST is given by: Option A: 9 sq. units.
How to find the area of a triangle?If we have:
Length of its base = b unitsIts height = h units long,Then we get:
Area of a triangle = [tex]\dfrac{b \times h}{2} \: \rm unit^2[/tex]
The missing image is attached below.
If we take the base of the triangle as RS, then as the line UT is perpendicular to RS (as RS is parallel to x axis and UT is parallel to y axis) and touching from the base line RS to T, thus, it can be taken as height.
Thus, we have:
Area of RST = half of length of RS (base) times length of UT (height)
As visible from image, we have:
Length of RS = 6 blocks of unit length = 6 units
Similarly, length of UT = 3 units
Thus, we get:
Area of RST = [tex]\dfrac{6 \times 3}{2} = 9 \: \rm unit^2[/tex]
Thus, the area of the considered triangle RST is given by: Option A: 9 sq. units.
Learn more about area of a triangle here:
https://brainly.com/question/14503701
Maria wants to determine which students is favored for president of the student council. Which of the following samples are biased and not freedom? Select all that apply.
O Surveying the boys in the freshman class.
O Surveying every other student in the cafeteria.
O Surveying all the students in her math class.
O Surveying 20 students from each grade at random.
O Surveying the students in the chess club.
Answer:
A, C, E,
Step-by-step explanation:
A)Surveying the boys in the freshman class.
C)Surveying all the students in her math class.
E)Surveying the students in the chess club.
i will mark brainliest rn
Answer:
65 is the correct answer
What is the slope of the graph of this function in decimal form?
(6,1) (-6,-5)
Answer:
slope = 0.5
Step-by-step explanation:
[tex]slope=\frac{-5-1}{-6-6} =\frac{-6}{-12} =\frac{1}{2} =0.5[/tex]
Hope this helps
The slope of the graph through points (6,1) and (-6,-5) is 0.5.
What is the slope of the graph?The slope formula can be expressed as:
[tex]Slope (m) = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Given the coordinates of the points through which the graph passes through:
Point 1 ( 6,1 )
x₁ = 6
y₁ = 1
Point 2( -6,-5 )
x₂ = -6
y₂ = -5
Plug the coordinates into the slope formula and simplify.
[tex]Slope (m) = \frac{y_2 - y_1}{x_2 - x_1}\\\\Slope (m) = \frac{-5 - 1}{-6 - 6}\\\\Slope (m) = \frac{-6}{-12}\\\\Slope (m) = \frac{1}{2}\\\\Slope (m) = 0.5[/tex]
Therefore, the slope of the line is 0.5.
Learn more about slope formula here: brainly.com/question/24578307
#SPJ3
Sandy is designing a circular garden as shown in this image. Her plan is to fill the rectangular region with hyacinths. She will need 78 square feet of space per hyacinth bulb. The hyacinth bulbs are sold in packages of 8.
What is the minimum number of packages Sandy must purchase to complete her plan?
Select from the drop-down menu to correctly complete the statement.
Sandy must purchase a minimum of _________
packages of hyacinth bulbs to complete her plan.
options are, 5,6,7,8
With one package (less actually) she can fill the 48ft^2 of the rectangular area.
How many packages does Sandy need?
We know that Sandy needs 7.8 square feet of space per hyacinth bulb, and the hyacinth bulbs are sold in packages of 8.
The rectangular region has a surface area of:
A = 8ft*6ft = 48 ft^2
The number of hyacinth bulbs that she can put in that surface is:
N = (48 ft^2/7.8 ft^2) = 6.15
So with 6 hyacinth bulbs, she can almost complete the rectangular area, and on each package there come 8 of them, so with one package she should be fine.
If you want to learn more about areas, you can read:
https://brainly.com/question/24487155
Answer:
The answer is 7 PACKAGES
Step-by-step explanation:
I took the test!
The radius of a circle is 15 m. Find its circumference in terms of π
C = 2 x pi x r
C = 2 x pi x 15 = 30 π
In exercises, 4 and 5, find the unknown or marked angles.
Answer:
alternate angle and counter
Please help I'm extremely confused. Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale. (picture of diagram included )
Answer:
x=8.4
Step-by-step explanation:
use tangent to solve the equation which is opposite/adjacent and set up the proportion
[tex] \frac{ \tan(35) }{1} = \frac{x}{12} [/tex]
the cross multiply to get x=tan(35)×12 then multiply that to get x=8.4
2. The back of Nico’s truck is 7.5 feet long, 4 feet wide, and 8 feet tall. He has several boxes of important papers that he needs to move. Each box of papers is shaped like a cube, measuring 2.5 feet on each side.
How many boxes of papers can Nico pack into the back of his truck? Show your work.
Answer:
Answer:
9 boxes
Step-by-step explanation:
As the truck is 7.5 ft long, we can fit 3 boxes of paper along the length since 7.5 ÷ 2.5 = 3
As the truck is 4 ft wide, we can only fit 1 box of paper along the width
since 4 ÷ 2.5 = 1.6
As the truck is 8 ft tall, we can fit 3 boxes of paper high
since 8 ÷ 2.5 = 3.2
Therefore, the number of boxes of paper is:
3 × 1 × 3 = 9
Answer:
9 boxes
Step-by-step explanation:
Look above me ;)
Scott earns $16. 85 per hour at his job. He works 7 hours per day, 4 days per week. What is Scott’s gross monthly income for 4 weeks? a. $471. 80 b. $943. 60 c. $1,415. 40 d. $1,887. 20.
The gross monthly income for 4 weeks is $1,887.20
We have given that Scott earns $16. 85 per hour at his job.He works 7 hours per day then,
What is the computation of the gross monthly income for 4 weeks?Gross income= Earning per hour × number of hours works per day × number of days works per week × number of weeks
Gross income= $16.85 × 7 × 4 × 4
Gross income= $1,887.20
Therefore, the gross monthly income for 4 weeks is $1,887.20.
To learn more about the gross monthly income visit:
https://brainly.com/question/25623677
I need help on this I don't get it please help me on this
Correct answer: 9x -14y = -6
Linear equation: y = ax + b
Let's replace (x,y) with (1/2, 3/4) and (4,3) and have the following equations:
1/2a + b = 3/4 (1)
4a + b = 3 (2)
=> (2) b = 3 - 4a
(1) 1/2a + 3 - 4a = 3/4
=> (1) 7/2a = 9/4
(2) b = 3- 4a
=> (1) a = 9/14
(2) b = 3/7
So we have the equation: y= 9/14x + 3/7
Multiple both sides with 14
=> 14y = 9x + 6
=> 9x -14y = -6
Can someone help me on this question? I’ll give brainliest if you answer soon!!!
Answer:
81
Step-by-step explanation:
Knowing that;
∠ EHD and ∠FHC are vertical angles.
since, ∠FHC = 81 Thus, ∠EHD = 81
Look at picture below for more information;
~Learn with Lenvy~
Answer:
81
Step-by-step explanation:
Given;
If m ∠FHC = 81 °, then what is m ∠ EHD?
Solve;
∠ EHD and ∠FHC are vertical angles.
Vertical angles ⇒ a pair of opposite angles formed by intersecting lines.
Since, ∠FHC = 81 hence, ∠EHD also = 81
[RevyBreeze]
Which of the following best describes the graphs below?
A.
Parallelogram A is similar to parallelogram B by dilating parallelogram A by a scale factor of 2 with the center of dilation at the origin, translating it 4 units down and 4 units left, and reflecting it across the y-axis.
B.
Parallelogram A is neither similar nor congruent to parallelogram B.
C.
Parallelogram A is congruent to parallelogram B by dilating parallelogram A by a scale factor of with the center of dilation at the origin, translating it 4 units down and 4 units left, and reflecting it across the y-axis.
D.
Parallelogram A is similar to parallelogram B by dilating parallelogram A by a scale factor of with the center of dilation at the origin, translating it 4 units down and 4 units left, and reflecting it across the x-axis.
Answer:
Step-by-step explanation:
D
Please help me solve this
Answer:
x = 24
Step-by-step explanation:
using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m +n)}[/tex]
consider left side
[tex]5^{\frac{x}{6} }[/tex] × [tex]5^{\frac{x}{2} }[/tex]
= [tex]5^{\frac{x}{6} }[/tex] × [tex]5^{\frac{3x}{6} }[/tex]
= [tex]5^{\frac{4x}{6} }[/tex]
then
[tex]5^{\frac{4x}{6} }[/tex] = [tex]5^{16}[/tex]
since the bases on both sides are equal, both 5 then equate exponents
[tex]\frac{4x}{6}[/tex] = 16 ( multiply both sides by 6 )
4x = 96 ( divide both sides by 4 )
x = 24
Olivia has a beaded necklace business. She can make 12 necklaces in 2 hours. How long will it take her to make 9 necklaces?
Answer:
1.5hours
Step-by-step explanation:
The expression 8x2 − 144x 864 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998. choose the equivalent expression that is most useful for finding the year where the population was at a minimum. 8(x2 − 18x 108) 8(x2 − 18x) 108 8(x − 9)2 − 216 8(x − 9)2 216
The expression that is most useful for finding the year where the population was at a minimum would be 8(x − 9)² + 216.
Given expression 8x² − 144x + 864 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
Given expression is 8x² − 144x + 864
Let y = 8x² − 144x + 864
also, y - 864 = 8x² - 144x
by Extracting common factor 8 on the right side
y - 864 = 8(x² - 18x)
Add (18/2)² on both sides, we get
y - 864 + 8(18/2)² = 8 (x² - 18x + 81²)
y - 864 + 648 = 8 (x² - 8x + 9)
on simplification
y - 216 = 8 (x - 9)²
y = 8(x - 9)² + 216
therefore, y = 8 (x - 9)² + 216
The expression that is most useful for finding the year where the population was at a minimum would be 8(x − 9)² + 216.
Learn more about a quadratic equation here:
brainly.com/question/2263981
(h(1) = 9
h(2) = 3
h(n) = h(n - 2)•h(n - 1)
h(3) =
Answer: 27
Step-by-step explanation:
Find the Area. First person that answers this and gets it correct gets brainliest.
Answer:
Step-by-step explanation:
Break up the shape into a trapezoid and rectangle:
Trapezoid area = (Top + Bottom) * Height / 2
= (9 + 20) * (21-16) / 2
= 29 * 5 / 2
= 72.5
Rectangle area = Length * Width
= 20 * 16
= 320
Combining, the total area = 72.5 + 320
= 392.5 in^2
Answer:
A = 392.5 in²
Step-by-step explanation:
The composite figure is made up of a rectangle and a trapezoid.
Calculate the area of the rectangle:
[tex]\begin{aligned}\textsf{Area of a rectangle}&=\sf length \times width\\&=20 \times 16\\&=320\; \sf in^2\end{aligned}[/tex]
Calculate the area of the trapezoid:
[tex]\begin{aligned}\textsf{Area of a trapezoid}&=\dfrac{\text{base}\;a+\text{base}\;b}{2} \times \text{height}\\&=\dfrac{9+20}{2} \times (21-16)\\&=\dfrac{29}{2} \times 5\\&=72.5\; \sf in^2\\\end{aligned}[/tex]
Therefore, the area of the composite figure it the sum of the area of the rectangle and the area of the trapezoid:
[tex]\begin{aligned}\textsf{Total area of composite figure}&=\textsf{Area of rectangle}+\textsf{Area of trapezoid}\\&=320+72.5\\&=392.5 \; \sf in^2\end{aligned}[/tex]
Therefore, the area of the composite figure is 392.5 in².
Finding the Range
Find the range of the following set of numbers: 3, 16, 4,
17, 42, 12, 12, 16, 92, 14, 5.
After you find the range, explain how you came to that
calculation in the box below.
Answer:
89
Step-by-step explanation:
92 - 3 =89
subtract smallest from largest
so it's got like money before and after and it has indepent and dependent variable
Answer:
The dependent variable is the amount of money you earn because the amount of money you earn depends on how many chores you do.
paul says x/y can result in either positive or negative quotient. is paul correct? explain why or why not.
Answer:
Dividing by same signs give a positive answer.
Dividing by different signs give a negative answer.
Step-by-step explanation:
Quotient is just a term for the answer given by a division problem.
positive/positive = positive
positive/negative = negative
negative/positive = negative
negative/negative = positive
Which quadratic function in standard form has the values a = –3. 5, b = 2. 7, and c = –8. 2? f(x) = 2. 7x2 – 8. 2x – 3. 5 f(x) = 2. 7x2 – 3. 5x – 8. 2 f(x) = –3. 5x2 – 8. 2x 2. 7 f(x ) = –3. 5x2 2. 7x – 8. 2.
Using the BOX and WHISKER above, what is the LOWER QUARTILE of the information?
Answer:
Lower Quartile is 8 according to the diagram.
good afternoon, please help me with this question and if u get it correct ill give u the brainlest
Answer:
3/5
Step-by-step explanation:
Hope that this helped :)
Tamara attends a cycling class that starts at 6:00. The class lasts 45 minutes. What time does class end?
Answer:
6:45
Step-by-step explanation: add 45 min to 6:00 and you have your answer
Answer:6:45
Step-by-step explanation: 6:00 + 45minutes would be 6:45
Diego and Lin have savings accounts. Diego had $40 in his account 6 months ago. Now Diego has $250 in his savings account. Lin currently has $100 in her account. She plans to add $50 per month. 1. Write a system of equations to represent Diego and Lin’s savings accounts.
The equation that can be used to represent Diego's and Lin's savings account is 250 = 40 + 6x and Total savings= 100 + 50x respectively.
How to write equationlet
x = amount added each monthDiego:
6 months ago = $40
Now = $250
250 = 40 + 6x
250 - 40 = 6x
210 = 6x
x = 210/6
x = $35
Lin:
Now = $100
Future = $50 per month
let
x = number of monthsTotal savings= 100 + 50x
Learn more about equation:
https://brainly.com/question/16863577
if 10x+6 = 21 then what is 15
Answer:
The answer is
→ 1.5 or 10x = 15
Step-by-step explanation:
Since 10x + 6 = 21 and we supposed to find what 15 is, we would have to use these steps;
First subtract 6 on both sides
10x + 6 - 6 = 21 - 6
= 10x = 15
Another way I know the other answer is by multiplying 10 by 1.5 which equals 15.
Anita is 42 1/2 feet below jared. Steph is 67 3/7 feet above anita. What is stephs position compared to jared. Explain
Check the picture below.
let's firstly convert the mixed fractions to improper fractions and then subtract.
[tex]\stackrel{mixed}{42\frac{1}{2}}\implies \cfrac{42\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{85}{2}} ~\hfill \stackrel{mixed}{67\frac{3}{7}}\implies \cfrac{67\cdot 7+3}{7}\implies \stackrel{improper}{\cfrac{472}{7}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{472}{7}~~ - ~~\cfrac{85}{2}\implies \cfrac{(2)472~~ - ~~(7)85}{\underset{\textit{using this LCD}}{14}}\implies \cfrac{944~~ - ~~595}{14}\implies \cfrac{349}{14}\implies 24\frac{13}{14}[/tex]