Answer:
(f+g) (x)= -5x-4= (-3x-2)
or, -5x + 3x= -4+2
or, -2x= -2
or,x= 2/2
:. x= 1
Step-by-step explanation:
What is the percent decrease of the price of a bicycle if the original price was $120 and the sale price is $80?
Answer:
33.3%
Step-by-step explanation:
1. Formula: difference/original
2. 120 - 80 = 40
3. 40/120
4. 1/3
5. 1/3 = 33.3%
Find the exact value of sin 29π/6
Group of answer choices
a 3/4
b 1/2
c -3/5
d 0
Answer:
b
Step-by-step explanation:
Remove full rotations of
2
π
until the angle is between
0
and
2
π
.
sin
(
5
π
6
)
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.
sin
(
π
6
)
The exact value of
sin
(
π
6
)
is
1
2
.
1
2
The result can be shown in multiple forms.
Exact Form:
1
2
Decimal Form:
0.5
what is the sum of the interior angles of a hexagon?
Hello!
So, every interior angle of a regular hexagon measures 120 degrees.
There are six interior angles of a hexagon, so you have to multiply 120 by 6.
120 x 6 = 720
So, the answer to your question is that the sum of the interior angles of a hexagon is 720 degrees.
Hope this helps!
Find the width of the rectangle if the length of the rectangle is 5 more than it’s width, and the perimeter of the rectangle is 20 units
Answer:
w = 2.5
Step-by-step explanation:
Write these 2 equations to represent the problem:
[tex]l=w+5\\2w+2l=20[/tex]
where w is width and l is length. This can then be solved as a system of equatios. I'll solve by substitution, and as the [tex]l[/tex] is already solved for at the top:
[tex]2w+2l=20\\2w+2(w+5)=20\\2w+2w+10=20\\4w+10=20\\4w=10\\w=2.5[/tex]
If you just need the width, then you're already done there. I'll find the other variable too, and then check it to be sure it's correct.
[tex]l=w+5\\l=(2.5)+5\\l=7.5[/tex]
Now, confirm that with the second equation:
[tex]2w+2l=20\\2(2.5)+2(7.5)=20\\5+15=20\\20=20[/tex]
The perimeter of a rectangle is the sum of its side lengths.
The width of the rectangle is 2.5 units
Represent the length with l and the width with w.
So, we have:
[tex]P =2 \times (l + w)[/tex] --- the formula of perimeter
The perimeter is 20 units.
So, we have:
[tex]20 =2 \times (l + w)[/tex]
Divide both sides of the equation by 2
[tex]10 =l + w[/tex]
The length is said to be 5 more than its width.
So, we have:
[tex]l =5 + w[/tex]
Substitute 5 + w for l in [tex]10 =l + w[/tex]
[tex]10 = 5 + w + w[/tex]
[tex]10 = 5 + 2w[/tex]
Subtract 5 from both sides
[tex]5 = 2w[/tex]
Divide both sides by 2
[tex]2.5 = w[/tex]
Rewrite as:
[tex]w =2.5[/tex]
Hence, the width of the rectangle is 2.5 units
Read more about perimeters at:
https://brainly.com/question/397857
Hot Dog!
Moderate
Previous
If it costs a total of $9 to buy 1 hot dog and 2 bottles of water and it costs a total of $22 to buy 3 hot dogs and 4
bottles of water, how much does a single bottle of water cost?
Answer:
$2.50
Step-by-step explanation:
1h + 2w = 9
3h + 4w = 22
Multiply the first expression x 3
3h + 6w = 27
Subtract the 2 equations
3h + 6w = 27
3h + 4w = 22
2w = 5, w = 2.5
The cylinder and the sphere below have the same radius and the same volume. What is the height of the cylinder?
a.6m
b.8m
c.9m
d.4m
ANSWER:
9m is the answer
Beard bought 10 acres of land.She plans to divide the land into smaller lots that are each 1/20 of an acre.How many smaller lots will she have.
Answer:She will have:
N = 200 smaller lots
Step-by-step explanation: N = (total acres of land) / (smaller lots of land)
Substituting the values we have:
N = 10 / (1/20)
Rewriting we have:
N = 10 * 20
N = 200 lots
jerry swims 5 3/5 killometers in a 7 day period. He swims the same distance each day.What distance does he swim in a day
Answer:
0.8 km per day
Step-by-step explanation:
5 3/5 is the same as 5.6, so
5.6/7
= 0.8 km per day
What number could replace n?
6/12 = 2/n
n = ___
n = 4
Since you divide 6 by 3 to get 2, you divide 12 by 3 and you get 4.
Answer: 4
Step-by-step explanation: This problem is already set out as a proportion. you can cross multiply 6 times n which gives you 6n. Then 12 times 2 which gives 24.
Now you have 6n = 24. You can divide right away, or think of a number when you multiply into 6 gives you 24. Its obvious the answer is 4 because 6 x 4 = 24.
Check:
6/12 = 1/2
2/4 = 1/2
Hope this explanation helps.
Please help!!! Which system of inequality’s is shown below???!!! Use picture below to help you! ;)
Answer:
b
Step-by-step explanation:
...
Rafael runs 7 miles in 60 minutes. at the same rate, how many miles would he run in 24 minutes
Answer:
2.8 miles
Step-by-step explanation:
Speed of Rafael = 7 miles / 60 min = 7/60 miles/min
Time for next run = 24 min
Length of the next run = 7/60 miles/min *24 min = 2.8
D= 9/5C + 32, If the temperature is -15 degrees Celsius, what is the temperature in Fahrenheit degrees
Answer:
5
Step-by-step explanation:
plug in the numbers (-15x9/5)+35 PEMDAS.
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
45/10 =4.5
4.5 x 7 = 31.5
Hight = 31.5
Answer:
B.
Step-by-step explanation:
Since they are equal do.
45 divided by 10
which equals 4.5.
So the image is being reflected by a 4.5 times bigger scale.
So then you do,
7 x 4.5
which is 31.5.
what is the square root of negative 1 divided by 8
Answer:
if you mean [tex]\frac{\sqrt{-1} }{8}[/tex] then the answer[tex](1/8)i[/tex]
and if you mean:[tex]\sqrt{\frac{-1}{8}}[/tex] then the answer is[tex]\frac{i\sqrt{2} }{4}[/tex]
Hence, the answer value of [tex]\sqrt\frac{-1}{8}[/tex] is [tex]i\frac{\sqrt2}{4}[/tex].
What is the fraction?
A fraction represents a part of a whole or, more generally, any number of equal parts
As per the given information
i.e.,
[tex]\sqrt\frac{-1}{8}=i\frac{\sqrt2}{4}[/tex]
Hence, the answer value of [tex]\sqrt\frac{-1}{8}[/tex] is [tex]i\frac{\sqrt2}{4}[/tex].
To know more about the fraction
https://brainly.com/question/5431264
#SPJ2
Graph the function f(x)=3/2x-4. Use the line tool and select two points to graph.
Answer:
Slope = 3/2
y-intercept = -4
x | y
0 -4
2 -1
Step-by-step explanation:
Solve the equation
6.4g + 8= 1.4g + 38
Find the Value of G
Explain how you can check that the value you found for g is correct. If your check does not work, does that mean that your result is incorrect? Explain.
Answer:
g=6
Step-by-step explanation:
6.4×6-1.4×6=
38.4-8.4=30
its true if it is not the result is incorrect
what equation can help you find out how many adults are there if tickets cost $9 for adults plus one child and $3 for children the total cost of the movie is $48
Answer:
48 ÷12 will help you 48 is cost divided by total cost which means cost of one adult and one child
A number w is greater than-3
Answer:
w>-3
Step-by-step explanation:
a hiking trail at a state park is 8.4 miles long a park ranger wants to place signs at the beginning and end of the trail and along the trail so that the signs are 1.4 miles apart how many signs will the ranger need?
Answer:
the ranger will need 6 signs
Step-by-step explanation:
A car used 1/48 of a gallon of gas to drive 1/4 of a mile . At this rate , how many miles can the car travel using 1 gallon of gas
Answer:
12 miles
Step-by-step explanation:
Your car uses 1/12th of its entire gas to go a single mile. This means that you need to drive 12 miles to run out of gas.
A recipe for apple crisp uses 4 parts oats,8 parts brown sugar,and 10 parts flour. In simplest form,how many parts of brown sugar are there for every part of flour?
Answer:
8:10
Step-by-step explanation:
8 parts for brown sugar and 10 parts flour.
In simplest, 4:5 (divide 8 and 10 by 2)
PLEASE HELP NO LINKS/FILES
Answer:
7/8 yards
Step-by-step explanation:
converting each fraction to match 1/8 would be
1/4=2/8
1/8
1/2=4/8
add them together and get 7/8
Find the answer:
2(-5-3)
Answer:
-16
Step-by-step explanation:
start with brackets
-5-3 = -8
2(-8)
= -16
Look at picture this is so hard pls help
Answer:
D) 8
Step-by-step explanation:
What the problem is asking you to do is multiply the two expressions and substitute x=3 into the product.
[tex]f(x)=2^x[/tex]
[tex]g(x)=2x-5[/tex]
[tex](f*g)(x)=f(x)g(x)=(2^x)(2x-5)[/tex]
[tex](f*g)(3)=f(3)g(3)=(2^3)(2(3)-5)=(8)(6-5)=(8)(1)=8[/tex]
Therefore, the correct answer is D
Can someone solve this/give me an answer choice??ASAP if possible
Answer:
Step-by-step explanation:
C is right.
5(a + b + c + d)
when you express it it's gonna be 5a + 5b + 5c + 5d
Help ~ with this question~
[tex]4 + 4 \div 5[/tex]
Answer:
4.8Step-by-step explanation:
[tex]\sf 4+4\div 5[/tex]
[tex]\sf 4\div 5 =0.8[/tex]
[tex]\sf 4+0.8[/tex]
[tex]\sf 4.8[/tex]
* Hope it helps, ty 4 pts!
* Have a good day!
16 liters to fraction
Answer:
16 liters to a fraction would be 4.2 or 4 1/5
Step-by-step explanation:
16 liters = 4.22675 gallons
4.2 gallons = 4 1/5 gallons
1000 L= 1 KL
16 L = 0.016 KL
(Divide 16 by 1000 to convert.)
Teresa will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $59 and costs an additional $0.08 per mile driven, The second plan has an initial fee of $48 and costs an additional $0.10 per mile driven. For what amount of driving do the two plans cost the same? Omiles What is the cost when the two plans cost the same? $0
Answer:
1. 550 miles
2. $103
Step-by-step explanation:
y = total rental cost
m = initial fee
x = cost per mile
n = number of miles
Plan 1: y = m + xn = 59 + 0.08n
Plan 2: y = m +xn = 48 + 0.10n
Q1. if total cost is the same : 59 + 0.08n = 48 + 0.10n >>> 0.02n = 11 >>> n = 550
Q2. y = m + xn = 59 + 0.08n = 59 + 0.08(550) = 103
A bakery worker ordered 3000 eggs when only 300 eggs were needed. Which explains how many more eggs were ordered than were needed? A. 100 times more because there are 2 zeros in 300 B. 1000 times more because there are 3 zeros in 3000 C. 10,000 times more because there are 5 total zeros in 3000 and 300 D. 10 times more because there is 1 more zero in 3000 than in 300
Answer:
D
Step-by-step explanation:
if you run 4 1/2 miles in three quarter of an hour, how many miles would you run in two thirds
Answer:4
Step-by-step explanation: each quarter of an hour is 1.5 miles they both can go into 12 so if you multiply 2*4 and 3*4 you get 8/12 and if you multiply 3*3 and 4*3 you get 9/12 then you subtract 9/12 by 8/12 to get so 1/12=1/2 miles so you would subtract 4 1/2 by 1/2 to get 4