Given:
The given expression is
[tex]-4(x+2)-2x+4[/tex]
To find:
The two other equivalent expressions.
Solution:
We have,
[tex]-4(x+2)-2x+4[/tex]
Using distributive property, we get
[tex]=-4(x)-4(2)-2x+4[/tex]
[tex]=-4x-8-2x+4[/tex]
So, one equivalent expression is [tex]-4x-8-2x+4[/tex].
On further simplification, we get
[tex]=(-4x-2x)+(-8+4)[/tex]
[tex]=6x-4[/tex]
Therefore, the second and fully simplified equivalent expression is [tex]6x-4[/tex].
Give the solution to the system
Answer:
f(x)=x+2g(x)=-1(x-4)f(x) represents the red line
g(x) represents the green line
if the variable x = 1
1+2=-1(1-4)3 = -1(1×(-3))
3 = -1×(-3)
3 = 3
radical form. ooooooooooo
Answer:
by using Pythagoras law
h²=p²+b²
7²=4²+b²
b²=49-16
b=√33=5.744
third side is 5.744
Answer:
missing length = 5.74
Step-by-step explanation:
[tex]a^{2} = c^{2} - b^{2}[/tex]
[tex]a^{2} = 7^{2} - 4^{2}[/tex]
[tex]a^{2} = 49 - 16[/tex]
[tex]a^{2} = 33[/tex]
[tex]\sqrt{a^{2} } = \sqrt{33}[/tex]
[tex]a = 5.74[/tex]
enter the value for x that makes the equation, 4(x - 4) = 12x + 16 true.
Answer:
False your answer will 4x-16
Step-by-step explanation:
you have to distribute 4 to x and 4 to 4. so you will do 4*x=4x and 4*4=16. Now you still have the subtraction sign so your answer will be 4x-16.
x is a 2 digit whole number how many digits does the number 10 x
Answer:
3
Step-by-step explanation:
Lets take 45 as an example, 10(45) = 450
450 is a 3 digit
answer
3
explanation
let's say X=99
99×10 =990
basically any two digit number multiplied by 10 will result in a 3 digit figure
hope it helps
A frying pan has a radius of 14 cm. What is the circumference of the pan?
Answer:
119.381cm
Step-by-step explanation:
C=2πr
2π * 14cm = 38πcm or 119.381cm
Which one of these statements correctly states Pythagoras' Theorem for the following diagram?
a) d 2 = e 2 − f 2
b) d 2 = e 2 + f 2
c) e 2 = d 2 + f 2
d) f 2 = d 2 + e 2
Answer:
I couldn't really read the problem that well, but if there's an e^2+f^2=d^2, then that's probably the correct option.
Step-by-step explanation:
which quotient is greatest ?
A. 24.6 / 0.6
B. 2.46 / 0.06
C. 24.6 / 0.006
D. 2.46 / 0.006
Answer:
Step-by-step explanation:
Remark
The larger the numerator and the smaller the denominator, the bigger the quotient. Try and get the answer using that rule.
C
24.6 / 0.006 = 4100 Nothing is bigger than that.
Try D
2.46/0.006 =410
Xavier asks Kofi if he can guess how many pancakes he made in the morning. Xavier gives him three clues to guess.
“If the number of pancakes I have is…”
i) is a multiple of 3, it is a number between 1 and 17
ii) is not a multiple of 8, it is a number between 20 and 27
iii) is not a multiple of 12, it is a number between 30 and 37
How many pancakes did Xavier make?
Answer:
33
Step-by-step explanation:
Your school raised 125% of its fundraising goal.The School raised $4500.What was the goal?
Answer:
3600
Step-by-step explanation:
125%=4500
5*25%=4500
25%=900
125%-25%=100%
4500-900=3600
48ft= how many yards
Answer:
16 yards
Step-by-step explanation:
price of
with a
Find the net Price
an order with a
list
price of $600 and
a trade
discount series of 15/10/5
Answer:
the questions is not making sense or lacking other information can you edit your question
Simplify . (n/(m ^ 2 * p ^ 4)) ^ (1/2)
[tex] \sqrt{a} = {a}^{ \frac{1}{2} } [/tex]
What is the law of negative exponents in word form.
Answer:
The negative exponent rule tells us that a number with a negative exponent should be put in the denominator, or the numerator, depending on where the number is.
Step-by-step explanation:
Multiply o binomial by a trinomial
(x-1) (x²+x+1)
Answer:
Is this helpful or wrong?
Answer:
hey there, the product is x³ - 1
Find the slope of the line. Write your answer in simplest form.
Answer:
Slope = -3/5
Step-by-step explanation:
slope (m) = y2 - y1 / x2 - x1
m = -2 - 1 / 1 - -4
m = -3 / 1 + 4
m = -3 / 5
You can check the work by counting rise (-3 which means 3 units down) over run (5 which means 5 units to the right)
Answer:
-3/5
Step-by-step explanation:
The line is y=-3/5x-1.4
The solution shown for the equation is incorrect. What is the correct solution? What is the error?
−9(3−r) = 45
−27−9r = 45
−9r = 72
r = −8
The solution is ____
7th grade math help pleasee
Answer:
Step-by-step explanation:
(a) 7x = 56
divide through by 7
x= 8
(b) 4n = 48
divide through by 4
n = 12
(b) 5c = 80
divide through by 5
n = 16
Answer:
a. 8
b. 12
c. 16
Step-by-step explanation:
7x= 56
You have to get x alone so divide
Divide by 7 to get answer (whatever you do to one side, do to the other)
x= 8
EDIT:
4a. 7x=56
7x/7 = 56/7
x= 8
4b. 4x=48
4x/4=48/4
x= 12
4c. 5c= 80
5c/5=80/5
c=16
the same goes for the rest
p.s. pls practice your multiplication as you will need it throughout high school :)
-4n+3>23
A. -5
B. 5
C. -9
D. -20
E. 20
please help__________
Answer:
Area = 52√3
A
Step-by-step explanation:
Remark
This is a trapezoid. The formula for a trapezoid is Area = 1/2 (b1 + b2)* h/2
Givens
b1 = 11
b2 = 15
h = 4*√3
Solution
Area = 1/2 (15 + 11 )*4*√3
Area = 1/2(26)*4√4
Area = 13 * 4√3
Area = 52√3
A cube has an edge length of 10 centimeters. What is its volume, in cubic centimeters?
Answer:
1000
Step-by-step explanation:
10 x 10 x 10 = 1000
Answer:
1000 cm³
Step-by-step explanation:
The volume (V) of a cube is calculated as
V = s³ ( s is the edge length ) , then
V = 10³ = 1000 cm³
Help pLLEAAASSEE LOLOLOL
1. Find the slope of the line graphed below.
A. ½
B. 2
C. -1/2
D. -2
Answer:
the answer is c, hope this helps
Maria purchased 1/2 pound of cheese for $3.50 at a farmer's market. What would be the cost for 4 pound of cheese?
Answer:
$28
Step-by-step explanation:
use a proportion:
$/lb = $/lb
3.5/1/2 = x/4
cross-multiply:
1/2x = 14
x = 28
Circle A is defined as (x-5)^2+(y-6)^2=16, and circle B is defined as (x+3)+(y+2)^2=9. Which transformation of circle A shows that circle B is similar?
Answer: The answer is D
Step-by-step explanation:
Circle A has translated 2 units to the right and 8 units up to produce circle B ad circle B was reduced by a factor of 3/4
Transformation of coordinatesGiven the equation of circles A and B defined as (x-5)^2+(y-6)^2=16 and (x+3)+(y+2)^2=9
The scale factor of a dilation is given as:
k = √9/√16
k = 3/4
From the centers, we can see that circle A has translated 2 units to the right and 8 units up to produce circle B
Learn more on translation here: https://brainly.com/question/1046778
Complete the table.
f(y) = 4y2 - 4v
f(v
-4
-3
-2
-1
Answer:
f(y) = 4y2 - 4v
f(y) = 4y² - 4(-4) = 4y² + 16
f(y) = 4y² - 4(-3) = 4y² + 12
f(y) = 4y² - 4(-2) =4y² + 8
f(y) = 4y² - 4(-1) = 4y² + 4
Step-by-step explanation:
Scale on map is Lin 86 mi if actual distance is 35 mi . Between two cities how far apart on the map are they
Answer:
0.41 cm
Step-by-step explanation:
The scale on the map is 1 in 86 mi.
This means that, 1 cm on the map represents 86 miles in real life, or on earth.
Then we're told that in real life, a distance is 35 miles, and how far they are on the map.
If 1 cm equals 86 miles, then we can say that x cm equals 35 miles
1 cm ----> 86
x cm ----> 35
x * 86 = 35 * 1
x = 35 / 86
x = 0.41 cm
Therefore, they must be 0.41 cm farther or closer apart on the map scale.
Lara employed a residential cleaning service to tidy up her home. They charged her $150 for 3
hours of work. Her neighbor, Roy hired the same agency and paid them $225 for their services.
How many hours did they take to complete the job at Roy's home?
Answer:
Step-by-step explanation:
Find the rate that was charged for Lara's time
rate = dollars / hour
The use this rate to calculate how many hours it took to clean Roy's house, since the rates are the same. Solve for hours.....
rate for Lara = dollars / hour = $150 / 3 hour = $50 / hour
rate for Roy = dollars / hour Solve for hours
multiply both sides by hours
(rate for Roy) (hour) = (dollars / hour) (hour)
(rate for Roy) (hour) = (hour) (dollars / hour) right side hours cancel
(rate for Roy) (hour) = (dollars) divide both sides by (rate for Roy)
(rate for Roy) (hour) / (rate for Roy) = (dollars) / (rate for Roy)
now the rate for Roy on the leftside cancel
(rate for Roy) (hour) / (rate for Roy) = (dollars) / (rate for Roy)
(hour) = (dollars) / (rate for Roy) Plug in $225 charged to Roy
and the $50 / hour rate
hour = $225 / ($50/hour) ( 1 over 1 / hour ) = hour
= $(225/50) hour think about 1 / (1/2) = 2 the same with units
hour = 4.5 hours
Pls help Brainelist if correct
The first triangle is dilated to form the second triangle. What is the scale factor? Please show your math work step by step.
Please help I will mark you brainlest and give you 30 point!!
Answer:
im not sure but i think its x=6
8
z
5
+
4
y
−
4
z
3
+
z
8
z
5
+
4
y
-
4
z
3
+
z
Answer:
What???
Step-by-step explanation:
Cant see it?????
An engineer is designing a large steel pad to be installed on the deck of an aircraft carrier. Its total volume will be 18 yd^3. A scale model made of the same material measuring 6 feet by 4.5 feet and 4 inches thick weighs 75 lbs. If the steel costs $55/lb, how much will the material for the full-sized steel pad cost?
a) 12,375.00
b) 55,687.50
c) 82,500.00
d) 222,750.00
Answer:
The cost of the material for the full-sized pad is;
d) 222,750.00
Step-by-step explanation:
The parameters of the steel pad and the scale model are;
The volume of the deck = 18 yd³
The dimensions of the model of the same material = 6 feet by 4.5 feet and 4.5 inches thick
The weight of the sample, m₂ = 75 lbs
The cost of the steel, P = $55/lb
The dimensions of the sample in yards are;
6 feet = 2 yards, 4.5 feet = 1.5 yards, and 4 inches = 0.[tex]\overline 1[/tex] yards
The volume of the sample, V₂ = 2 yd. × 1.5 yd. × 0.[tex]\overline 1[/tex] yd. = (1/3) yd.³
The density of the sample material, ρ = m₂/V₂
∴ The density of the sample material, ρ = 75 lbs/((1/3)yd.³) = 225 lbs/yd³
Therefore, the density of the material of the pad, ρ = 225 lbs/yd³
The mass of the steel pad, m₁ = ρ × V₁
∴ The mass of the steel pad, m₁ = 225 lbs/yd³ × 18 yd³ = 4,050 lbs
The cost of the material for the full-sized steel pad, C = m₁ × P
∴ C = 4,050 lbs × $55/lb = $222,750