Answer:
Equivalent expression is (x - 4)(x - 3)
Step-by-step explanation:
[tex] {2x}^{2} - 14x + 24[/tex]
find the factors:
[tex] = (x - 4)(x - 3)[/tex]
(2x-12)(x-2)
after multiplying you'll get the same
Group discounted lift tickets were $14 for those paying with cash and $15 for those
paying with a credit card. The total paid by the group was $177.00. Three times as many
people paid with a credit card as those who paid with cash. How many people paid with
cash?
PLEASE ANSWER WITH AN EXPLANATION
Answer:
3 people
Step-by-step explanation:
Let "x" represent the number of people who payed with cash
Let "y" represent the number of people who payed with credit card
14x +15y = 177 ---------1
3x =y--------- 2
solving simultaneously,
put eqn 2 into eqn 1
14x + 15 (3x) = 177
14x + 45x = 177
59x = 177
x=3
From eqn 2 , y = 3 x
y = 3 (3)
y=9
therefore the number of people who paid with cash were 3.
The following image is a piece of tile from a kitchen floor. What does the bolded line represent?
A. a line
B. a line segment
C. a ray
D. a plane
Answer:
a line segment in the correct answer
Simplify the following 1)0.002 x 3421. 2)584.23 x 4.3214. 3)1000 x 4.3214. 4)31.234 x 300. 5)333.333 x 0.0003 Plsssss show working
Answer:
Step-by-step explanation:
Basically you just multiply everything together
1) 6.842
2) 2524.691522
3) 4321.4
4) 9370.2
5) 0.0999999
Best way to solve these questions is either a calculator or write the questions down and figure it out yourself. It isn't that hard.
Explanation on how to place the decimal places I found on a good website:
Decimals are multiplied as if they were whole numbers, and then the decimal point is placed in the product.
To find out where the decimal point should be placed, count the number of decimal places after the decimal point in each factor.
Multiply 0.7 by 0.352
0.7 1 decimal place
0.352 3 decimal places
A total of 4 decimal places
Once you have found the sum of the decimal places in each factor, you know how many decimal places the product will need after its decimal point. Starting at the far right of the number, move the decimal point toward the left that number of decimal places.
0.2464 (4 decimal places after the decimal point)
Dividing decimals
1. Move the decimal point in the divisor to the right to make the divisor a whole number.
2. Move the decimal point in the dividend the same number of places to the right.
3. Place the decimal point in the quotient directly over the decimal point in the dividend for the final quotient.
4. Divide as if working with whole numbers
Gavin and Jim win some money and share it in the ratio 5:2. Gavin gets £39 more than Jim. How much did they get altogether?
Answer:
They got $91 in total
Step-by-step explanation:
I did some trial and error and when I reached 65 dollars for Gavin I realized that Jim would be $29. So 65 - 29 = $39. Btw substitute $ for £
Answer: £91
Step-by-step explanation:
Let x be the amount of money Jim gets
Let x + 39 be the amount of money Gavin gets
Given information
Ratio = 5 : 2 (Gavin to Jim)
Jim = x
Gavin = x + 39
Set up proportion
5 / 2 = (x + 39) / x
Cross multiply to reduce fraction form
5x = 2 (x + 39)
Expand parentheses and apply the distributive property
5x = 2 · x + 2 · 39
5x = 2x + 78
Subtract 2x on both sides
5x - 2x = 2x + 78 - 2x
3x = 78
Divide 3 on both sides
3x / 3 = 78 / 3
x = 26
Find the amount of money they get altogether
Gavin + Jim
=x + 39 + x
=(26) + 39 + (26)
=65 + 26
=[tex]\boxed{91}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Create a function that generates for any value x the corresponding value y when
y= 17x^2+ 14x +9
Required:
What is the value y when x =12?
Answer:
Step-by-step explanation:
if the cost price of 10 tables is equal to the selling price of 16 tables , find out the gain or loss percentage
Hi,
To solve this problem, Let us take the LCM of 10 and 16 which will come 80.
Now suppose the cost price of 10 tables =₹n CP of 80 tables will be ₹ 8n
According to the question, CP of 10 tables is equal to the SP of 16 tables, then
the SP of 16 tables will also be ₹ n.
So, SP of 80 tables will be ₹ 5n
So, Loss = CP-SP
→ 8n - 5n = ₹ 3n
Loss%= (3n×100)/8n
Loss%= 37.5%.
Hence the correct answer will be a loss of 37.5%.
i need help please and thank you
Answer:
the length of each shape will alternate between even numbers and is numbers.
Step-by-step explanation:
just think !
there are 3 cubes in the basic shape.
now, with every step he adds 1 more cube to the length, and one more cube to the height. that means 2 more cubes.
so, it goes 3, 5, 7, 9, ... cubes
therefore, the first answer is wrong. the shape in every step will always have an uneven (odd) number of boxes. remember, adding an even number to an uneven number will always result in an uneven number. only uneven and uneven or even and even can have even results.
but the length itself - he only adds there one box at a time, will go
2, 3, 4, 5, 6, ...
so, it will alternate between even and uneven numbers.
Which tree is growing faster
Answer:
tree 1 is growing faster
Using the slope of a linear function, it is found that Tree 1 is growing faster.
What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1. It can be given by the change in the input divided by the change in the output.b is the y-intercept, which is the value of y when x = 0.In this problem:
Tree 1 is growing 1.5 inches every week.For tree 2, when the week increasing by 1, the height also increases by 1, hence the slope is 1, which means that it is increasing 1 inch per week.Thus, tree 1 is growing faster.You can learn more about the slope of a linear function at https://brainly.com/question/24674549
On her way to work each morning Sophia
purchases a small cup of coffee for $425
from the coffee shop
Answer:
This is easy...stop purchasing this outrageous coffee for $425. No coffee is that good
Wh ich of the following tables represent functions? If the relation is not a function, indicate why it is not.
Step-by-step explanation:
1. the table on the left is a function, with the formula : y = x²
2. the table on the right is also a function, indicated by the values of the input are different each others
full form of ALU please tell
Answer:
ALU stands for arithmetic logic unit. which is part of the central processing unit of a computer which performs arithmetic and logical operations.
I hope this helps
Answer:
In computer science: Architecture and organization. …of a control unit, an arithmetic logic unit (ALU), a memory unit, and input/output (I/O) controllers. The ALU performs simple addition, subtraction, multiplication, division, and logic operations, such as OR and AND.
Step-by-step explanation:
Calculate the ratios in the table using the side lengths that you recorded in Part C.
Step-by-step explanation:
The ratios are;
\dfrac{BC}{AB} = \dfrac{3}{5}
AB
BC
=
5
3
\dfrac{AC}{AB} = \dfrac{4}{5}
AB
AC
=
5
4
\dfrac{BC}{AC} = \dfrac{3}{4}
AC
BC
=
4
3
\dfrac{DE}{AD} = \dfrac{3}{5}
AD
DE
=
5
3
\dfrac{AE}{AD} = \dfrac{4}{5}
AD
AE
=
5
4
\dfrac{DE}{AE} =\dfrac{3}{4}
AE
DE
=
4
3
koGiven that the lengths of the sides are;
\overline {AB}
AB
= 20
\overline {BC}
BC
= 12
\overline {AC}
AC
= 16
\overline {AD}
AD
= 10
\overline {DE}
DE
= 6
\overline {AE}
AE
= 8
The ratios are;
\dfrac{Length \ opposite \ \angle A}{Hypothenus} = \dfrac{BC}{AB} = \dfrac{12}{20} = \dfrac{3}{5}
Hypothenus
Length opposite ∠A
=
AB
BC
=
20
12
=
5
3
\dfrac{Length \ adjacent\ \angle A}{Hypothenus} = \dfrac{AC}{AB} = \dfrac{16}{20} = \dfrac{4}{5}
Hypothenus
Length adjacent ∠A
=
AB
AC
=
20
16
=
5
4
\dfrac{Length \ opposite \ \angle A}{Length \ adjacent \ \angle A} = \dfrac{BC}{AC} = \dfrac{12}{16} = \dfrac{3}{4}
Length adjacent ∠A
Length opposite ∠A
=
AC
BC
=
16
12
=
4
3
\dfrac{Length \ opposite \ \angle A}{Hypothenus} = \dfrac{DE}{AD} = \dfrac{6}{10} = \dfrac{3}{5}
Hypothenus
Length opposite ∠A
=
AD
DE
=
10
6
=
5
3
\dfrac{Length \ adjacent\ \angle A}{Hypothenus} = \dfrac{AE}{AD} = \dfrac{8}{10} = \dfrac{4}{5}
Hypothenus
Length adjacent ∠A
=
AD
AE
=
10
8
=
5
4
\dfrac{Length \ opposite \ \angle A}{Length \ adjacent \ \angle A} = \dfrac{DE}{AE} = \dfrac{6}{8} = \dfrac{3}{4}
Length adjacent ∠A
Length opposite ∠A
=
AE
DE
=
8
6
=
4
3
B
How many degrees must
Figure A be rotated
counterclockwise around
the origin in order to line
up with Figure B?
A
A 90
B. 180
C. 270
D. 360
Answer:
90 degree is my guess please
Answer:
90
Step-by-step explanation:
it's 90 because if it needs to be in line with a it has to be rotated a bit and since the lowest is 90 the answer is 90
Find the slope of the line through each pair of points.
(2,-9),(-1,4)
[tex]\\ \rm\hookrightarrow Slope=m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \rm\hookrightarrow m=\dfrac{4-9}{-1-2}[/tex]
[tex]\\ \rm\hookrightarrow m=\dfrac{-5}{-3}[/tex]
[tex]\\ \rm\hookrightarrow m=\dfrac{5}{3}[/tex]
Answer:
-13/3
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
4-(-9)/-1-2
13/-3
-13/3
Best of Luck!
Find an equation of the plane that passes through the point P0 = (6, 3, 2) and is parallel to the xy-plane. g
The xy-plane has a normal vector of 〈0, 0, 1〉, and any plane parallel to it will have the same normal vector.
Then the equation of the plane through (6, 3, 2) that is parallel to the xy-plane has equation
〈x - 6, y - 3, z - 2〉 • 〈0, 0, 1〉 = 0
==> z - 2 = 0
==> z = 2
What property is show in this problem? 11 x (4+5) = 11 x 4 + 11 x 5
A kite is inscribed in a rectangle. Everything outside of the kite is shaded. The points of the kite split the lengths of the rectangle into a length of 3x and x. The points of the kite split the height of the rectangle into lengths of x and x. The total length of the rectangle is 4 x and the height is 2 x.
The figure shows a kite inside a rectangle. Which expression represents the area of the shaded region?
2x2
4x2
6x2
8x2
Answer:
B
Step-by-step explanation:
you can make picture into to shapes. a rectangle and a square. the square would be x2 and the rectangle would be 3x2. just add them together while your answer would be 4x2. doing this assignment right now so best of luck.
Answer:
b
Step-by-step explanation:
i just did the test
Please help due tomorrow
Answer:
just observe its like corresponding soo..
CAB = DEF
ABC = EFD
ACB = EDF
EMJOY ;)
a company spent 36% of its annual budget developing a new bicycle. What fraction of the company's budget was spent on developing the new bicycle?
Answer:
9/25
Step-by-step explanation:
36% = 36/100
Simplify the fraction and you'll have:
9/25
Answer:
9/25
Step-by-step explanation:
36% = 0.36 = 36/100 = 18/50 = 9/25
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
A=1/2pie r squared solve for pie
Answer:
[tex]A = \frac{1}{2} \pi r [/tex]
multiply all sides by 2:
[tex]2 \times A = ( \frac{1}{2} \pi r) \times 2 \\ \\ 2A = \pi r[/tex]
divide all sides by r:
[tex] \frac{2A}{r} = \frac{\pi r}{r} \\ \\ \frac{2A}{r} = \pi[/tex]
therefore:
[tex]{ \boxed{ \sf{\pi = \frac{2A}{r} }}}[/tex]
what percentage is 10 in 24?
Answer:
41.67
Step-by-step explanation:
10: 24×100 =
(10×100): 24 =
1000: 24 = 41.67
If -30 + 8r = -7(-3r - 3) + 4r,
the value of 5r?
Answer:
Gggggg
Step-by-step explanation:
Bh H hjjhбичар сук в оригинале xdddd
Answer:
[tex] - 30 + 8r = - 7( - 3r - 3) + 4r \\ - 30 + 8r = 21r + 21 + 4r \\ - 30 - 21 = 25r - 8r \\ - 51= 17r \\ r = \frac{ - 51}{17} \\r = 3 \\ thank \: you[/tex]
is 1.0227 a rational number? explain
Answer:
Yes.
Step-by-step explanation:
1.0227 is a rational number. Although it is a decimal, it is terminating meaning that it ends. This is what makes it rational.
Step-by-step explanation:
Yes as it can be written in p/q form means 10227/10000 which is rational
Will give brainly est
Find the difference. Enter your answer in simplest form.
3 1/3 minus 2 5/12 The First 3 and the first two are whole numbers btw
options
1 4/9 A
11/12 B
7/12 C
1 1/2 D
[tex]\\ \sf\longmapsto 3\dfrac{1}{3}-2\dfrac{5}{12}[/tex]
[tex]\\ \sf\longmapsto \dfrac{10}{3}-\dfrac{29}{12}[/tex]
[tex]\\ \sf\longmapsto \dfrac{40-29}{12}[/tex]
[tex]\\ \sf\longmapsto \dfrac{11}{12}[/tex]
Find the value of a.
Answer:
86°
Step-by-step explanation:
try suggested solution (see the attached picture), note, the suggested way is not the shourtest one.
determine the equation of the vertical line that passes through (3, 15)
Answer:
x = 3
Step-by-step explanation:
The given straight line is vertical therefore it's slope doesn't exists.
Equation of the line with undefined slope is given by, x = c where c is the point of x axis from which the given line passes.
Therefore x = 3 is the correct answer.
A pole vault stick is leaning against a wall, touching the wall 16 ft above the ground. The bottom end of the stick is 12 ft from the wall. How many feet long is the stick?
Answer:
20ft
Step-by-step explanation:
Height from the ground=16ft
distance from wall= 12ft
length of the stick=?
According to the Pythagoras theorem the square of the hypotenuse is equal to the sum of the squares of the opposite sides.
Here the stick is the hypotenuse.
[tex]12^{2} +16^{2} = x^{2}[/tex]
144+ 256= [tex]x^{2}[/tex]
[tex]x^{2}[/tex]= 400
[tex]x=\sqrt{400} \\x= 20[/tex]
Hence the length of the stick is 20ft.
Hope this helps.
Please help its due today will give 15+ points and make brainlyiest
absolute value of -3
hope it helped
The center circle on a soccer field has a radius of 9 yards. What is the area of the center circle? Use 3.14 for pie
Answer:
[tex]\boxed {\boxed {\sf 254.34 \ yd^2}}[/tex]
Step-by-step explanation:
The area of a shape is the space occupied by the surface of an object. The area of a circle can be calculated using the following formula.
[tex]a= \pi r^2[/tex]
The radius (r) of the center circle on the soccer field is 9 yards. We are asked to use 3.14 for pi.
r= 9 yd π= 3.14Substitute these values into the formula.
[tex]a= (3.14)(9 \ yd)^2[/tex]
Solve the exponent.
(9 yd)² = 9 yd * 9 yd = 81 yd²[tex]a= (3.14)(81 \ yd^2)[/tex]
Multiply.
[tex]a= 254.34 \ yd^2[/tex]
The area of the center circle on the soccer field is 254.34 square yards.
PLEASE HELP
3/5x+22=28
Show your work in details if you can, I have a hard time understanding this.
Step-by-step explanation:
3/5x+22=28
3/5x=28-22
3/5x=6
3x=6*5
3x=30
X=30/3
X=10