Answer:
(3x+4)(2x−5)
Step-by-step explanation:
The first term is, 6x2 its coefficient is 6 .
The middle term is, -7x its coefficient is -7 .
The last term, "the constant", is -20
Step-1 : Multiply the coefficient of the first term by the constant 6 • -20 = -120
Step-2 : Find two factors of -120 whose sum equals the coefficient of the middle term, which is -7 .
-120 + 1 = -119
-60 + 2 = -58
-40 + 3 = -37
-30 + 4 = -26
-24 + 5 = -19
-20 + 6 = -14
-15 + 8 = -7 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -15 and 8
6x2 - 15x + 8x - 20
Step-4 : Add up the first 2 terms, pulling out like factors :
3x • (2x-5)
Add up the last 2 terms, pulling out common factors :
4 • (2x-5)
Step-5 : Add up the four terms of step 4 :
(3x+4) • (2x-5)
Which is the desired factorization
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
To the nearest degree x is equal to 61.1 degrees.
Step-by-step explanation:
use the trig function cosine.
Cos(theta) = adjacent/hypotenuse.
Let x be the unknown angle in the diagram.
Adjacent = 3
Hypotenuse = 6.2
Cos(x) = 3/6.2
x = [tex]Cos^-1(\frac{3}{6.2})[/tex] (you have to do cos inverse to find x)
X = 61.1
An architect drew the blueprint for a new office building. He used a scale in which 1 inch represents 7.5 feet. The floor of an office in the building will have actual dimensions of 14 feet by 24 feet. What will the dimensions on the blueprint be?
A.
105 inches by 180 inches
B.
21.5 inches by 31.5 inches
C.
6.5 inches by 16.5 inches
D.
1.87 inches by 3.2 inches
Since we know the scale factor of 1 inch represents 7.5 feet, we can plug in the dimensions for the scale on which the architect drew.
For 14 feet, we can multiply 14 by 1 inch/7.5 feet to get a product of 1.87 inches. Then, we can do the exact same thing with the other width of the floor, which is 24. 24 × 1/7.5 = 3.2
The final dimensions of the blueprint will be D, 1.87 inches by 3.2 inches.
The population of a city has decreased by 38% since it was last measured. If the current population is 40,300, what was the previous population.
Answer:
65,000
Step-by-step explanation:
100-38 is 62%
40,300 is 62% of whatever x is
40,300*100= 4,030,000
4,030,000/62=65,000
Soccer is played on a rectangular field that is usually 120 yards long and 75 yards wide. Find the perimeter and the area of the soccer field. Perimeter: .yds. Area: yds\large ^2
Answer:
Perimeter: 120*2 + 75*2 = 240 + 150 = 390 yards
Area: 120*75 = 9000 [tex]yards^{2}[/tex]
What is the equation of the line shown in this graph?
Answer:
x=-2
Step-by-step explanation:
Since it's a vertical line the answer is going to be x= which ever number the line is on. In this case x=-2
A computer is used to generate passwords made up of numbers 0 through 9 and lower case letters the computer generated 400 passwords one character at a time a uniform probability model is used to predict the character in the password what is the prediction of the number of passwords in each the first character is a vow round your answer to the nearest whole number 56 passwords 77 passwords 111 passwords 233 passwords
Answer:
56
hope it helpes if you could give me brainliest so i could level up
5(3 + 4) − 2 = 7 − 3(−2 + 11)
Answer:
33 = - 20
Step-by-step explanation:
In this equation you have to use BEMA or PEMDAS (however you learned it) ot solve. (Brackets, Exponents, Multiplcation/Divison, Addition/Subtraction) or (Parentheses, Exponents, Multiplication, Division, Addition, SUbtraction)
5(3 +4) - 2 would be simplified down first to
5(7) -2 because parentheses are the first thing you do in any equation like this.
35 -2 because multiplication and divison are next due to the fact there are no exponents
33 because subtraction is last. You then do the same to the other side.
7 -3 (-2 +11)
7 + -3(9) (you can change the minus three to a plus negative three to make the next step more clear)
7 + -27
-20
33 = -20
What number to be added to each of the number 6,16,36 and 76 to be in proportion?
Answer:
[tex] \pink{ \pmb{SOLUTION:-}}[/tex]
Here,
Let x must be added.[tex]\displaystyle{ \frac{6 + x}{16 + x} = \frac{36 + x}{76 + x} }[/tex]
[tex](6 + x)(76 + x) = (36 + x)(16 + x)[/tex]
[tex]456 + 6x + 76x + {x}^{2} = 576 + 36x + 16x + {x}^{2} [/tex]
[tex]82x + 456 = 576 + 52x[/tex]
[tex]82x - 52x = 576 - 456[/tex]
[tex]30x = 120[/tex]
[tex]\displaystyle{x = \frac{120}{30} }[/tex]
[tex]{ \rightarrow{ \pmb{x = 4}}}[/tex]
A tissue box shaped like a cube, has a volume of about 90 cubic inches. What is the approximate length of one side of the tissue box?
The approximate length of one side of the tissue box which has a volume of about 90 cubic inches is 4.5 inches.
What is of volume of cube?Volume of cube is the amount of quantity, which is obtained by it in the 3 dimensional space.
The volume of the cube can be given as,
[tex]V=a^3[/tex]
Here, (a) is the side of the cube.
A tissue box, shaped like a cube, has a volume of about 90 cubic inches. Put the value of volume in above formula,
[tex]90=a^3\\a^3=90\\a=\sqrt[3]{90}\\a=4.48\\a\approx 4.5\rm\; in[/tex]
Thus, the approximate length of one side of the tissue box which has a volume of about 90 cubic inches is 4.5 inches.
Learn more about the volume of cube here;
https://brainly.com/question/3390425
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Find the area of the triangle below.
Be sure to include the correct unit in your answer.
Answer:
77 cm²
Step-by-step explanation:
The area of a triangle is given by the formula ...
A = 1/2bh
where b is the base length, and h is the altitude perpendicular to the base.
__
Here, you are shown b=22 cm and h=7 cm. The area is ...
A = 1/2(22 cm)(7 cm) = 77 cm²
Write the system of equations, then solve. SHOW ALL WORK!! please HELP! QUICK
Answer:
3 30 page printers, 10 70 page printers
Step-by-step explanation:
x + y = 13
40x+70y = 820
Solving for y in first equation gives: y = 13 - x
Plug into second equation: 40x + 70(13 - x) = 820
40x + 910 - 70x = 820
-30 x = -90
x = 3
Plug into original equation: 3 + y = 13
y must = 10.
So, the company owns 3 thirty page presses, and 10 70 page presses,
Which of the lines is a line of symmetry for the hexagon?
A.
PQ and LM
B.
JK and NO
C.
JK only
D.
all of the lines
Answer: the answer is b which is line NO and line JK
Step-by-step explanation: one line is vertical and the other is horizontal . Both lines make the sides equivalent and equal , so they make a symmetry . HOPE IT HELPS YOU BUDDY .PLEASE GIVE BRAINLIEST .THANKS ..
Answer:
The Correct Answer is B.JK and No.
Hope it helps you Czn.
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Solve for x , y and z using geometric mean altitude theorem and leg theorem
Check the picture below.
when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one. So let's use proportions to get x,y and z.
[tex]\cfrac{x}{30}~~ = ~~\cfrac{30}{24}\implies \cfrac{x}{30}~~ = ~~\cfrac{5}{4}\implies x=\cfrac{150}{4}\implies \boxed{x=\cfrac{75}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{y}{24}~~ = ~~\cfrac{x-24}{y}\implies \cfrac{y}{24}~~ = ~~\cfrac{\frac{75}{2}-24}{y}\implies \cfrac{y}{24}~~ = ~~\cfrac{~~ \frac{27}{2}~~}{y}\implies \cfrac{y^2}{24}=\cfrac{27}{2} \\\\\\ y^2=\cfrac{(24)(27)}{2}\implies y=\sqrt{\cfrac{(24)(27)}{2}}\implies \boxed{y=18} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\cfrac{z}{y}~~ = ~~\cfrac{30}{24}\implies \cfrac{z}{18}~~ = ~~\cfrac{5}{4}\implies z=\cfrac{(18)(5)}{4}\implies \boxed{z=\cfrac{45}{2}}[/tex]
3) Solve the equation for x.
10(4x + 4) = 400
A) 2
B) 4
C) 9
D) 18
Answer:
C) 9
Step-by-step explanation:
10(4x + 4) = 400
40x + 40 = 400
40x = 360
x = 9
Answer:
First factor out the expression
(10•4x)+(10•4)=400
40x+40=400
Then solve
40x+40=400
-40 = -40
40x=360
------ ------
40 40
x=9
C) 9
☆anvipatel77☆
•Expert•
Brainly Community Contributor
In the figure below, AD and EC intersect at point G, mAGB = 35°, and mAGE = 69°
What is mBGC?
A.
111°
B.
145°
C.
76°
D.
104°
Answer:
The correct answer is C.76.
Hope this helps you!!
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8.
60 fifth-grade students participating in
an event. The students will be put into
groups among their own grade and into
the largest possible equal groups with no
students left over. How many students will
be in each group?
A.
2
po
B. 3
C.
6
D. 12
Answer:
c.6
Step-by-step explanation:
6 is the gcf between 42 and 60
Answer:
it'll be 6
Step-by-step explanation:
6*5 so 5 groups of 6
What is the median of the data represented in the dot plot below?
Answer:
11
Step-by-step explanation:
organize it:
10, 10, 11, 11, 11, 11, 12, 12, 13
the number in the middle of the order is the median, in this case the median would be 11.
0.65 converted to percent is
Answer:
65%
Step-by-step explanation:
65%
One decimal place is equal too the 100% so .65 is equal too 65%
Sorry if my english is not great.
50PTS Consider this equation .sin(0) = 4 If is an angle in quadrant II, what is the value of ? A. B. C. D.
Answer:
A.
[tex] - \frac{ \sqrt{377} }{29} [/tex]
As part of a math lesson on probability, Mr. Keen rolled a standard die 30 times. He predicted the die would land on three 5 times. He actually rolled a three 8 times. What is the percent error for his prediction?
Using it's concept, it is found that the percent error for this prediciton is of 60%.
What is the percent error?The percent error of an amount is the absolute value of the difference between the actual amount and the expected amount, multiplied by 100% and divided by the expected amount.
In this problem:
The expected amount was of 5 times.The actual amount was of 8 times.Hence, the percent error is given by:
P = |8 - 5|/5 x 100% = 3/5 x 100% = 0.6 x 100% = 60%.
More can be learned about percent error at https://brainly.com/question/25224978
Answer:
its 37.5%Step-by-step explanation:
I suck at angles (why is there no subject for shapes and angles or whatever)
Answer: D. 45 degrees
Step-by-step explanation:
A circle is equal to 360°
360° divided in half is 180°.
180° divided in half one more time is 90°
A second time is 90° / 2 = 45°
The angle created is D. 45 degrees.
24-6/3*2+1 = how is this calculated
the parent-teacher associating is raising money for new swing set. they need $682.56 to purchase the swing set and receiving a 200 donation. the remaining amount will be equally divided among 8 different student groups to raise. How much will each student group need to raise in order to purchase the swing
Answer:
60.32
Step-by-step explanation:
682.56-200=482.56
482.56/8= 60.32
Solve the system of equations. y=4x+5y=x2+12x+20
Answer:
[tex]\begin{pmatrix}x=-3,\:&y=-7\\ x=-5,\:&y=-15\end{pmatrix}\\[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}y=x^2+12x+20\\ y=4x+5\end{bmatrix}[/tex]
[tex]\mathrm{Subtract\:the\:equations}[/tex]
[tex]y=x^2+12x+20[/tex]
[tex]y-y=x^2+12x+20-\left(4x+5\right)[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]0=x^2+8x+15[/tex]
This is the last question I promise V3 (this is the third time I asked this question
Answer:
Step-by-step explanation:
what is it that makes this seem difficult?
90° the hands make a right angle? correct?
30° the hands are close together
60° the hands are farther than 30 but closer than 90
150 ° the hands are farthest apart
Every time Liliana bakes a batch of brownies, she uses 3/4 cup of chocolate. If she has 128 cup(s) of chocolate remaining, how many batches of brownies can Liliana make
Answer:
2
Step-by-step explanation:
12/8 is equal to 6/4.
6 divided by 3 is 2.
A person has a bag containing quarters and dimes. There are a total of 61 coins in the bag, and the total value of the coins is $10.45.
Answer:
Q+D = 65, multiply both sides by 2525Q + 25D = 162525Q + 10D = 950 subtract to get 15D = 675 D = 675/15 = 135/3 = 45 dimes Q = 65-45 = 20 quarters25(20) + 10(45) = 500+450 = 950
will pay the first one that answers this question
Answer:
a. I
b. II
c. IV
help me please i need help please
Answer:
Step-by-step explanation:
your dad said he will help you
Susan made $550 baby sitting during the summer. She made $256 helping her grandmother working on the farm She spent $175 on a new dress. Which number sentence could be used to find how much money Susan had left?
1. $550 - $256 + $75
2. $550 - $256 - $75
3. $550 + $256 + $75
4. $550 + $256 + $75