Answer:
4x^2−32x+28
Step-by-step explanation:
The correct answer will be [tex]4x^{2} - 32x + 28[/tex]
Let's simplify step-by-step.
(x−7)(−9)+(x−7)(4x+5)
Distribute:
= (x)(−9)+(−7)(−9)+(x)(4x)+(x)(5)+(−7)(4x)+(−7)(5)
= −9x+63+4x2+5x+−28x+−35
Combine Like Terms:
= −9x+63+4x2+5x+−28x+−35
= (4x2)+(−9x+5x+−28x)+(63+−35)
= 4x2+−32x+28
The denominator of a fraction is three more than its numerator. When both the numerator and denominator are increased by one the fraction becomes 1/2. What is the original fraction?
Answer:
The original fraction is [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Let the numerator by X
Denominator is three more than its numerator i.e X +3
When both the numerator and denominator are increased by one the fraction becomes 1/2
[tex]\frac{X + 1}{X+3+1} = \frac{1}{2} \\\frac{X+1}{X+4} = \frac{1}{2} \\2X + 2 = X+4\\X = 2[/tex]
Thus, numerator = 2
Denominator = X +3 = 2+3 = 5
The original fraction is [tex]\frac{2}{5}[/tex]
Rebecca paid $16.90 to place an advertisement in a local
newspaper. The newspaper charged $4.50 set up fee and $0.40
per word. How many words were in Rebecca's advertisement?
Answer:
31 words
Step-by-step explanation:
because the set up fee is 4:50$, minus this from the price Rebecca payed
16.90-4.50=$12.40
now divide this amount by $0.40 in order to get her word count
12.40÷0.40=31
what is the difference between the point (6,-3) and (6,5)?
Answer:
6.4 this is the middle between them or like 0.1 is difference
Bro this is so simple but I don't know. At the party, jorden shared out all the loonies in his present. Altogether there was 47 Lolies and 6 boys. How many lollies were leftover.
Answer:
5 lollies are left over
Step-by-step explanation:
Total lollies Jordan has = 47
Number of boys at the party = 6
If the lollies are shared equally,
Number of lollies each boy gets = Total lollies ÷ number of boys
= 47 ÷ 6
= 7 lollies remainder 5
That is,
6 boys × 7 lollies each = 42 lollies
How many lollies were leftover.
Remaining lolly = Total lollies - shared lollies
= 47 - 42
= 5 lollies are left over
Pls answer number 6 fast pls someone help
Answer:
It's in Quadrant IV.
..............
A pendulum is constructed by attaching a 4m rope to a bowling ball. It is then displaced 2m to one side and released.
Ignoring all effects of friction, and without knots,
a) Determine the period of the pendulum. Round to one decimal place.
Answer:
T = 4.0 s
Step-by-step explanation:
The period of a simple pendulum is given by
[tex]period = 2\pi \sqrt{ \frac{l}{g} } [/tex]
where l = length of the pendulum
= 4 m
g = acceleration due to gravity
= 9.8 m/s^2
[tex]period = 2\pi \sqrt{ \frac{(4 \: m)}{(9.8 \: \frac{m}{ {s}^{2} } )} } = 4.0 \: s[/tex]
The weatherman says that there is a 90% chance of rain tomorrow. Find the odds that it will rain tomorrow.
Answer:
9 out of 10
Step-by-step explanation:
90 percent chance simply means 90÷100
Which is 9 out of 10
How many cubes with side lengths of 1/2 cm can fit inside the rectangular prism
Answer:
7/2 or 3.5 inches
Step-by-step explanation:
The volume of the rectangle=
length×width×height, so
V=1/2×2×7/2
V=1×7/2
V=7/2 cubic inches
Next, Volume of the cube=
side^3, or side×side×side
V=1/2×1/2×1/2
V=1/8 cubic inches
First question,
To find how many cubes with the side of 1/2 length that fir into the rectangular prism, take:
7/2÷1/8
=7/2×8
=28 cubes. As a result, there are 28 cubes that will fit into the prism
Second question,
The volume of the person is 7/2 cubic inches or 3.5 cubic inches. Hope it help!
Hey ASAPPP PLS 80 points
Answer:
using pythagoras theorem
a^2+b^2=c^2
8^2+x^2=(x+2)^2
64+x^2=x^2+2*x*2+2^2
64+x^2=x^2+4x+4(here x^2 of left hand side and x^2 of right hand side gets cancel)
64=4x+4
64-4=4x
60/4=x
15=x
Step-by-step explanation:
Which are examples of non-statistical questions?
Questions
Question 1 What is Sasha’s favorite movie?
Question 2 What is Stacey’s favorite book?
Question 3 What is your favorite movie?
Question 4 What is your favorite book?
questions 1 and 2
questions 1 and 3
questions 2 and 4
questions 2 and 3
Answer:
A 1 and 2
Step-by-step explanation:
How do I solve this please help no links
9514 1404 393
Answer:
$735
Step-by-step explanation:
We assume the cover needs to cover the pool only, not any extra area around the pool.
The cost is given per square foot, so to find the total cost, we need to know how many square feet the cover must cover. The cost will be found by multiplying the cost per square foot by the number of square feet.*
The dimensions of the pool are given as 35 ft by 70 ft. The pool area is the product of these dimensions.
A = LW
A = (70 ft)(35 ft) = 2450 ft²
Then the cost is ...
C = ($0.30/ft²)(2450 ft²) = $735
The cost to buy a pool cover is $735.
__
* This is the same rule you use for any purchase. The total cost is the cost per item multiplied by the number of items. Here, each "item" is 1 square foot of pool cover.
A group of 7 students was asked, "How many hours did you watch television last week?" Here are their responses.
12, 5, 14, 6, 17, 7, 15
Send data to calculator
Find the mean number of hours for these students.
If necessary, round your answer to the nearest tenth.
Answer:
10.9
Step-by-step explanation:
The "mean" is just school's fancy way of saying "the average". To find the mean of the numbers, you add them all up first. 12 + 5 + 14 + 6 + 17 + 7 + 15 = 76. The next step is to divide 76 by the number of values that were added. 12, 5, 14, 6, 17, 7, and 15 are a total of 7 numbers. So, we will divide 76 by 7.
76/7 = 10.8571428571, which rounds to 10.9 if you are rounding it to the nearest tenth.
Answer:
[tex]\boxed {\boxed {\sf 10.9 \ hours }}[/tex]
Step-by-step explanation:
The mean is also called the average. It is a measure of central tendency and provides information about the center of a data set.
The mean is found by adding up all the values, then dividing by the number of values. Remember, this is the data set we have:
12, 5, 14, 6, 17, 7, 15
1. Add up values
12 + 5+ 14 + 6 + 17 + 7 + 15= 76
2. Divide by the number of values
There are 7 values ( 1 for each student)76/7=10.8571428571
3. Round
We need to round our answer to the nearest tenth. The 5 in the hundredth place tells us to round the 8 up to a 9.10.8571428571 ≈ 10.9
The mean number of hours spent watching television for this group of students is 10.9 hours.
how many times can 495 go into 156
Answer:
0
Step-by-step explanation:
Answer:
0.315 times
Step-by-step explanation:
156÷495 ≈ 0.315
Have a good day :)
An equilateral triangle has perimeter P. The length of one side is P/3. Which expression is equivalent to the length on one side
Answer: [tex]3\times \dfrac{P}{3}=P[/tex]
Step-by-step explanation:
Given
The perimeter of one equilateral triangle is P
The lengths of the equilateral triangle are equal
Suppose x is the length of each side
[tex]\therefore 3\times x=P\\\\\Rightarrow x=\dfrac{P}{3}[/tex]
i.e.
[tex]\Rightarrow 3\times \dfrac{P}{3}=P[/tex]
Write the equation of the line in slope-intercept form.
Answer: The equation of the line in slope-intercept form is “y = 4/3x + 4.”
What is the area of F?
Answer:
area of circle F = 9 pi
Step-by-step explanation:
An interesting problem, combining geometry and algebra.
It has not been indicated, but it will be assumed that GH is a tangent to the circle F, hence the tangent-secant theorem from point H applies.
Produce HF to point E on the circumference such that EJ forms a diameter of circle F.
By the tangent-secant theorem,
HG^2 = HJ*HE
Substitute given values,
(x+2)^2 = 2*(2*(2x-1)+2)
Expand algebraically
x^2+4x+4 = 2(4x-2+2)
x^2+4x+4 = 8x
x^2-4x+4 = 0
Factor
(x-2)^2 = 0
=>
x=2
Substitute x=2 into radius FG = 2(x)-1 = 3
Therefore area of circle F
= pi r^2
= pi (3)^2
= 9 pi
One juice and to sandwiches cost $70.00. One juice and four sandwiches cost $130.00.
What is the cost of one sandwich?
Step-by-step explanation:
One juice and to sandwiches cost $70.00. One juice and four sandwiches cost $130.00.
What is the cost of one sandwich?
Answer:
One sandwich costs $30
One juice costs $10
What is the solution to
(y = 3x - 30
x2 + y2 = 100
Answer:
x = 20
y = 30
Step-by-step explanation:
Answer:
x = 20
y = 30
Step-by-step explanation:
y = 3x - 30
2x + 2y = 100
2x + 2(3x - 30) = 100
2x + 6x - 60 = 100
8x - 60 = 100
8x = 160
x = 20
y = 3(20) - 30
y = 60 - 30
y = 30
PLEASE HELP ME! THIS IS DUE TODAY, AND I WILL MARK BRAINLEST.
Answer:
The correct answer is B: XY=4 cm
Step-by-step explanation:
This is correct because the triangles are both leaning in the same direction so the sides are congruent as stated. Congruent, means that they are equal to each other in other words symmetrical. Because of this, they are the same triangle so where 4 is on the first triangle, it will appear on the same side on the other triangle. This means the answer is B. XY = 4 cm
Answer:
The second one
Step-by-step explanation:
It cant be the first because YZ=4cm
cant be the third because m∠Y= 50°
cant be the forth one because m∠Z= 70°
so, it has to be the second one because XY≅AB
so, if AB=4cm then XY=4cm
Question 3
What is the slope of the line?
Please
Answer:
2
Step-by-step explanation:
Which two triangles below are similar?
Answer:
Triangle A and B
Step-by-step explanation:
Both triangles have two same angles.
If Triangle A is rotated like Triangle B, they would be the same.
Vice versa, if Triangle B is rotated like Triangle A, it would be the same.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
11 times z=121
(11xz=121
Answer:
z will be11
11z = 121
z = 121/11
z= 11
Answer:
1=121= 11
Step-by-step explanation:
SA = 2pi * r ^ 2 + 2pi * r * h (Use 3.14 for .) How much metal is needed to create a trash can with a height of 4 feet and a base radius of 1 foot? (Find the surface area of the cylinder.) pi square feet Do NOT round your answer.
Answer:123
Step-by-step explanation:
At the Valero gas station, gas costs $2.55 per
gallon. The RV holds 55 gallons of gas. If the
RV currently has 20 gallons of gas, how much
will it cost to completely fill the RV with gas?
Answer:
140.25$
Step-by-step explanation:hope this helps <3
Answer:
Step-by-step explanation: valero gas station gas cost 2 dollars. 55 per gallon
55 + 20
Please help I’ll give 5 stars
What is a explication for linear relationship?
Step-by-step explanation:
A linear equation in two variables can be described as a linear relationship between x and y, that is, two variables in which the value of one of them (usually y) depends on the value of the other one (usually x). In this case, x is the independent variable, and y depends on it, so y is called the dependent variable
find the value of x plsss helpp
Answer:
90 + 29 + x = 180
119 + x = 180
-119 -119
X = 61 degrees
A triangle will always equal 180 degrees.
Given that there is a right triangle it is 90 degrees, also given that 29 degrees is there we add those and add x (the unknown degree) to equal 180 degrees.
Which expressions simplify to a single term?
Answer:
c and d
Step-by-step explanation:
I think this is it sorry if wrong but i tryed really hard i am not good at math dont take this down pls.
solve the equation 5(x-1)=17
Answer:
5(x-1) = 17
5x - 5 = 17 (write equation in simpler terms)
add 5 on each side like this (5x = 17 + 5)
= 5x = 22 which results in 4.4
I NEED THIS ASAP!!! What is GC?
9514 1404 393
Answer:
D. 14
Step-by-step explanation:
Point G divides each median into parts that have the ratio ...
short : long = 1 : 2
Then ...
GD : GC = 1 : 2 = 7 : 14 . . . . . . . . multiply the ratio by 7
GC = 14
A 7 character computer password is made up of 3 letters followed by 4 numbers. How many different passwords are possible?
Answer:
the answer is 456,976,000
Answer:
✅ C. 456,976,000⬇️ i got it right