Answer:
x=21/2
Step-by-step explanation:
5(x+3)=6(12+x/2)
Distribute the 5.
5x+15=6(12+x/2)
Reduce the numbers with the greatest common factor 2.
5x+15=3(12+x)
Distribute the 3.
5x+15=36+3x
Move the variable to the left-hand side and change the sign.
5x+15-3x=36
Collect like terms.
2x=36-15
2x=21
Divide 2 on both sides
x=21/2
Hope this helps :)
Answer:
x = 10.5
Step-by-step explanation:
5(x + 3) = 6( [tex]\frac{12+x}{2}[/tex]) ← distribute parenthesis on both sides
5x + 15 = [tex]\frac{72+6x}{2}[/tex] = 36 + 3x ( subtract 3x from both sides )
2x + 15 = 36 ( subtract 15 from both sides )
2x = 21 ( divide both sides by 2 )
x = 10.5
Factor
10x + 100x + 250
if someone can help me answer these questions ill mark u as a brainliest! thank u if u help! :)
Answer:
u = 20, v = 1
Step-by-step explanation:
Here, we can assume that the triangles are congruent for the purposes of solving the problem. Because they are congruent, by the HL right triangle congruency theorem, the hypotenuse and leg of each triangle have to be the same.
Therefore:
[tex]v+23=u+4\\19v+41=2u+20[/tex]
Now, you can simply solve the system of equations for v and u.
I will solve by substitution:
[tex]v+23=u+4\\v=u-19[/tex]
Now, plug that into the other equation:
[tex]19(u-19)+41=2u+20\\19u-361+41=2u+20\\19u-320=2u+20\\17u-320=20\\17u=340\\u=20[/tex]
Finally, plug that back into the first equation:
[tex]v+23=20+4\\v+23=24\\v=1[/tex]
u = 20, v = 1
Which direction does the decimal point move in when you divide by powers of 10 greater than 0?
Answer:
the left side is the answer
PLSSS HELP WIL REWARD BRAINLIEST!!
You may begin by calculating the slope's angle, then marking the slope's midway point, or 0, then the left end, -1, and finally the right end, 1.
The area of a rectangle is 60 square inches.
The length is x – 3, and the width is x + 8.
Find the value of x, and the dimensions of the rectangle.
A=lw
X=7 because 7-3 = 4, 7+8= 15,15x4=60.
2/7 convert it into percentage
friends i only need solution i know the answer the one who answer i will mark them as brainleast
Answer:
22.22%
Step-by-step explanation:
2/7 = 0.22222...
Convert to a percent - move decimal over by 2
22.22
Answer:
≈ 28.57%
Step-by-step explanation:
To change a fraction to a percentage, multiply the fraction by 100% , that is
[tex]\frac{2}{7}[/tex] × 100%
= [tex]\frac{2(100)}{7}[/tex]
= [tex]\frac{200}{7}[/tex]
≈ 28.57% ( to 2 dec. places )
The video suggests you consider these 4 things before deciding to take out a loan: Is it necessary? Do the monthly payments fit in your budget? Could you save instead of borrow? Is it worth the added interest?
1. If you were trying to decide whether to take out an auto loan for $6500 to buy your first car, thereby allowing you to commute for an impressive summer internship program next year, would that loan meet the requirements?
Answer:
The requirements for taking out a loan tend to be very strict, and therefore, an impressive internship program would not be something that can meet the requirements to obtain a loan of $6500.
Step-by-step explanation:
1. If you were trying to decide whether to take out an auto loan for $6500 to buy your first car, thereby allowing you to commute for an impressive summer internship program next year, that loan would not meet the requirements.
Is it necessary?
No, travelling can be done by other means.
Do the monthly payments fit in your budget?
Maybe
Could you save instead of borrow?
Yes saving for the whole year is better than borrow.
Is it worth the added interest?
No, its not worth the added interest.
All of the answers indicate that the loan does not meet the requirements.
Paying a huge amount of interest for something which is not that necessary is useless.
https://brainly.com/question/1658653
https://brainly.com/question/9302251
HELPPPPPPPPPPPPPPPPPPP
Answer:
HWHAHAHAHA hatdog
jejdisisisiwis
identify the proportional relationship.
1. y = x + 2
2. y = -x
3. x = 2
4. y = -2x - 1
Answer:
y = -x
Step-by-step explanation:
Answers 1 and 4 have an offset (+2 and -1) that interferes. x = 2 is not a proportion. It is simply a statement that x = 2. It is not allowed in the high stakes room.
A closed circular cylinder has a diameter of 21 cm and height of 14.5 cm find it total surface area
Answer:
this is the correct answer happy
6-2/3(x+5)=4x solve for x
Answer:
3x^2+15x-1=0
Step-by-step explanation:
4/(3x+15)=4x
4=12x^2+60x
12x^2+60x-4=0
3x^2+15x-1=0
Please solve after that, I cannot do everything for you
I need help on this pls
[1] Complementary means the angles will add up to 90 degrees
() Blank one is BOC
() Blank two is 90
() Reason blank I am unsure as I do not know the wording that is being looked for, but it is either "given," "complementary angles" or something similar
[2] Since AOC is equal too BOC + 30, we can decide the following is true
() First blank is BOC
() Second blank is 30
[3] 30°
() BOC + BOC + 30 = 90 [Given]
2(BOC) = 60 [Subtract 30 from both sides & combine like terms]
BOC = 30 [Divide by 2]
[4] 60°
() 90 - 30 = 60
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
please give me the correct answer. T^T
Answer:
All pairs of corresponding sides are congruent
Step-by-step explanation:
∠A≅∠D
∠B≅∠E
∠C≅∠F
If sin(0) > 0, then in which quadrants could 0 lie? Select all correct answers.
Select all that apply:
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Answer:
I and IV
Step-by-step explanation:
based on the unity circle 0 and 360 is on the same plane..hope it's answerd
1. ) Find the mean for each data set. ROUND FINAL ANSWERS TO THE TENTHS PLACE.
Answer:
710
Step-by-step explanation:
81+74+72+66+67+72+66+66+72+65+71= 701
701 rounded to the nearest tenth is 710
The company made $700,000 the first quarter and $343,000 the second
quarter. Which shows the change from the first quarter to the second
quarter?
a) –357,000
B) 357,000-
C) 357,000+
D) +357,000
Hi! i need help, can someone help me please
Answer:
b
Step-by-step explanation:
The change from the first quarter to the second quarter is +357,000. Therefore, the correct answer is option D.
Given that, the money made by company in first quarter = $700,000 and in the second quarter = $343,000.
Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
The difference in money made by company from first quarter to second is
700,000-343,000
= +357,000
Therefore, the correct answer is option D.
Learn more about the subtraction here:
brainly.com/question/2346316.
#SPJ4
Mrs. Kelly got a box of 16 colored pencils. She opened it, and 8 fell on the floor. How many colored pencils stayed in the box?
Write a subtraction sentence that fits the story (for example, 3 - 2 = 1).
16-8=8
Step-by-step explanation:
Question.[Mathematics]
6³ + 6³ =
[tex] \: \: \: \: \: \: [/tex]
[tex] = 432[/tex]
Step-by-step explanation:
[tex] {6}^{3} + {6}^{3} [/tex]
collect like terms[tex]2 \times {6}^{3} [/tex]
evaluate the power[tex]2 \times 216[/tex]
multiply the number[tex] = 432[/tex]
hope it helps[tex] \: \: \: \: \: \: [/tex]
Help I’ll give brainylist in return thank you
Answer:
They are similar by AA
Step-by-step explanation:
Angle B and C are similar as well as angle ABE and DCE are similar
Enter a digit in each box to complete the addition problem
Answer:
4.5 + 19.75 = 24.25
Find your missing digits with the equation above
A parking garage charges $5. 50 to park for 4 hours and $7. 75 to park for 7 hours. If the cost is a linear function of the number of hours parked, what is the cost to park for 3 hours? $2. 25 $2. 50 $3. 25 $4. 75.
Step-by-step explanation:
So we are given 2 coordinates.
so in a linear equation, we have the given function:
y=mx+b
thus we should have an x value and a y value.
So let's set x to be the hours and y be the cost
With 2 sets of coordinates, we can solve for the slope (m in the function) of the function using rise/run or y1-y2/x1-x2
so with that being said,
7.75-5.5/7-4=m
2.25/3=m
.75=m
This is our slope.
Our formula will look like this: y=0.75x
Now we can determine how much it will cost in 3 hours by changing x to be 3 since x is the number of hours parked
y=0.75(3)
y=2.25
The cost to park for 3 hours will be $2.25
Hope This Helps :D
Which is the better buy in each problem??
Answer:
1 - quarts of juice for 5.82 (the first one)
2 - 9.84 for a 12 pack of batteries (the second one)
3 - 24-pack of pencils for 2.64 (the first one)
4 - $2.46 for a 12-ounce jar of jam (the first one)
Step-by-step explanation:
Have a nice day
A piano teacher has 4 1/2 hours available to teach each night. One lesson will last 3/4 of an hour. How many lessons can the teacher schedule each night?
Step-by-step explanation:
4 1/2 = 9/2
so, the calculation is simply how often 3/4 fits into 9/2.
and that is done by division :
9/2 / 3/4
and as we know, to divide by a fraction is the same as to multiply with the upside-down fraction.
so,
9/2 / 3/4 = 9/2 × 4/3 = (9×4)/(2×3) = 3×2/1 = 6
so, without any breaks the teacher can schedule 6 lessons each night.
Maria’s monthly bank statement showed the following deposits and withdrawals:
-$25.20, $52.75, -$22.04, -$8.50, $94.11
If Maria’s balance in the account was $47.86 at the beginning of the month, what was the account balance at the end of the month?
Please do a step by step explanation
3) Postcards: Marcie wants to make a box to hold her postcard collection from a piece of
cardboard that is 10 inches by 18 inches. The box will be formed by making cuts as shown in
the diagram and folding up the sides.
a) Write a function that models the volume of the box.
b) What are the dimensions of the box with the maximum volume? Round to the nearest tenth.
el
at
c) What is the maximum volume of the box?
The volume of the box is the amount of space in it.
The dimension of the postcard is:
[tex]\mathbf{Length = 10}[/tex]
[tex]\mathbf{Width = 18}[/tex]
Let x represents the length of the cut.
So, the dimension of the box is:
[tex]\mathbf{Length = 10 -2x}[/tex]
[tex]\mathbf{Width = 18 -2x}[/tex]
[tex]\mathbf{Height = x}[/tex]
(a) The function that represents the volume of the box
This is calculated as:
[tex]\mathbf{V(x) = Length \times Width \times Height}[/tex]
So, we have:
[tex]\mathbf{V(x) = (10 - 2x) \times (18 - 2x) \times x}[/tex]
Expand
[tex]\mathbf{V(x) = 180x - 56x^2 + 4x^3}[/tex]
Hence, the volume function is: [tex]\mathbf{V(x) = 180x - 56x^2 + 4x^3}[/tex]
(b) The dimension that maximizes the volume
We have:
[tex]\mathbf{V(x) = 180x - 56x^2 + 4x^3}[/tex]
Differentiate
[tex]\mathbf{V'(x) = 180- 112x + 12x^2}[/tex]
Set to 0
[tex]\mathbf{180- 112x + 12x^2 = 0}[/tex]
Using a calculator, we have:
[tex]\mathbf{x = 7.3,2.1}[/tex]
The value x = 7.3 is greater than the dimension of the box.
So, we have:
[tex]\mathbf{x = 2.1}[/tex]
Recall that:
[tex]\mathbf{Length = 10 -2x}[/tex]
[tex]\mathbf{Width = 18 -2x}[/tex]
[tex]\mathbf{Height = x}[/tex]
So, we have:
[tex]\mathbf{Length = 10 -2 \times 2.1 = 5.8}[/tex]
[tex]\mathbf{Width = 18 -2 \times 2.1 = 13.8}[/tex]
[tex]\mathbf{Height = 2.1}[/tex]
Hence, the dimension that maximizes the volume is 5.8 by 13.8 by 2.1
(c) The maximum volume
This is calculated as the product of the dimension of the box
So, we have:
[tex]\mathbf{Volume = 5.8 \times 13.8 \times 2.1}[/tex]
[tex]\mathbf{Volume = 168.1}[/tex]
Hence, the maximum volume of the box is 168.1 cubic inches
Read more about volumes at:
https://brainly.com/question/17056191
just started algebra
Answer:
thats really great! its simple!
Great! How about your question?
find the measure of the indicated angle that makes lines u and v parallel
Answer:
55 degrees
Step-by-step explanation:
if u and v are parallel and cut by the transversal in the middle the two angles would be congruent or equal to each other , therefore the angle in question is also 55
Identify the errors in the image.
Mosquito Life Cycle
2021 Edmentum. All rights reserved. growth and development of organisms master test!!
A. the egg stage is missing
B. the mosquito transforms into a butterfly
C. the pupal stage should come after the larval stage
D. there is no metamorphosis
Answer:
B. the mosquito transforms into a butterfly
Step-by-step explanation:
Since mosquitos and butterflies are entirely different insects, one cannot transform into the other. Mosquitos never take on a butterfly's coloring, habits, or even purpose during their lifetime.
I hope this was incredibly helpful! Tell me if you need any further assistance...
( :
A true/false test consists of 100 questions. A student knows the correct answer to 40 of the questions. She guesses each of the other answers independently based on the toss of a coin.
Answer:
whats the question
Step-by-step explanation:
(x^2+ 6x + 9) / (x-3)
Answer:
Simplify:
[tex]\frac{( {x}^{2} + 6x + 9) }{x - 3} [/tex]
Factoring:
[tex] {x}^{2} + 6x + 9[/tex]
The first term is, x2 its coefficient is 1 .
The middle term is, +6x its coefficient is 6 .
The last term, "the constant", is +9
Step-1 : Multiply the coefficient of the first term by the constant 1 • 9 = 9
Step-2 : Find two factors of 9 whose sum equals the coefficient of the middle term, which is 6 .
-9 + -1 = -10
-3 + -3 = -6
-1 + -9 = -10
1 + 9 = 10
3 + 3 = 6 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 3 and 3
[tex] {x}^{2} + 3x + 3x + 9[/tex]
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x+3)
Add up the last 2 terms, pulling out common factors :
3 • (x+3)
Step-5 : Add up the four terms of step 4 :
(x+3) • (x+3)
Which is the desired factorization.
Multiply (x+3) by (x+3)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x+3) and the exponents are :
1 , as (x+3) is the same number as [tex](x+3) {}^{1}[/tex]
and 1 , as (x+3) is the same number as[tex](x + 3) {}^{1} [/tex]
The product is therefore, [tex](x + 3) {}^{(1 + 1)} = (x + 3) {}^{2} [/tex]