The value of the rational expression when x is equal to 4 is 3.
Option C is the correct answer.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
To find the value of the rational expression (x + 20)/(x + 4) when x is equal to 4,
We substitute 4 for x in the expression:
(4 + 20)/(4 + 4)
= 24/8
= 3
Therefore,
The value of the rational expression when x is equal to 4 is 3.
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The quotient of k and 9 is no more than 1/3
Answer:
If this is true or false, I think true. Hope I helped! If not, please make sure to correct me.
Step-by-step explanation:
Two cars leave towns 760 kilometers apart at the same time and travel toward each other. One car's rate is 12 kilometers per hour less than the other's. If they meet in 4 hours, what is the rate of the slower car
Answer:
89 km/hr
Step-by-step explanation:
Distance = Rate(speed) × Time
D = R × T
T = 4 hours
One car's rate is 12 kilometers per hour less than the other's.
Hence:
First's car's rate = r × 4 = 4r
Second car's distance = (r + 12) × 4 = 4r + 48
4r + 4r + 48 = 760
8r + 48 = 760
8r = 760 - 48
8r = 712
r = 712/8
r = 89 km/hr
The rate of the slower car is 89 km/hr
A train covers 165 km in 1.5 hours. Do these quantities (distance and rime) vary directly or inversely?
Answer:
directly
Step-by-step explanation:
directly because it is a straight line
A high school drama club is performing a musical to benefit a local charity. Tickets are $5. They also receive donations if $500. They wants to raise at least $2000. How many tickets should they sell to reach their target
Answer: 300 tickets
Step-by-step explanation:
The drama club wants to raise at least $2,000. They have already received donations of $500 so the amount left till target is:
= 2,000 - 500
= $1,500
Tickets are being sold at $5 so the number of tickets needed to get to $1,500 is:
= 1,500/5
= 300 tickets
Write and solve a real-world problem that can be represented by the expression (–3)(5), then solve it
Answer and explanation:
(-3)(5) evaluates to -3×5=-15
A real world problem that would represent this would be a case where 5 fruit vendors each give out 3 fruits to 3 of their customers in the spirit of Christmas. Each vendor gives out(subtracts fruits from fruit stock) 3 of their fruits= -3 fruits for each vendor. There are a total of 5 fruit vendors therefore -3×5= -15 fruits given out by all 5 fruit vendors in total. To better understand this, we could compare this to if the vendor were to get(add to stock of fruits) fruits and not actually give out fruits. This would be 3×5= 15 fruits gotten by all the 5 vendors in total.
PLEASE HELP!!!!!!!!!!!!
Look at the graph
what is the slope?
simplify your answer and write it as a proper fraction, improper fraction, or integer
Answer:
5
Step-by-step explanation:
Rise over run
Rises 10, runs 2
10/2 =5/1= 5
Answer:
5
Step-by-step explanation:
for every 1 unit on x-axis graph moves 5 units up on y-axis
Predict the rate of change for the depth of the diver for the intervals of [3, 4], [4, 5], and [5, 6].
Answer:
The rate of change is 1
Step-by-step explanation:
Given
[tex]\{[3, 4], [4, 5], [5, 6]\}[/tex]
Required
Predict the rate of change
Average rate of change (R) is calculated using:
[tex]R = \frac{f(b) - f(a)}{b - a}[/tex]
Here, we have:
[tex][a,f(a)] = [3,4][/tex] and
[tex][b,f(b)] = [5,6][/tex]
Substitute these values in the above equation
[tex]R = \frac{6 - 4}{5 -3}[/tex]
[tex]R = \frac{2}{2}[/tex]
[tex]R = 1[/tex]
Also, check the rate of change using:
[tex][a,f(a)] = [3,4][/tex] and
[tex][b,f(b)] = [4,5][/tex]
The equation: [tex]R = \frac{f(b) - f(a)}{b - a}[/tex] becomes
[tex]R = \frac{5-4}{4-3}[/tex]
[tex]R = \frac{1}{1}[/tex]
[tex]R = 1[/tex]
Hence, the rate of change is 1
100 points! I will mark brainliest Help fast! No random answers please.random answers will be reported.
Answer:
The combination of a reflection in a line and a translation in a perpendicular direction is a reflection in a parallel line. However, a glide reflection cannot be reduced like that. Thus the effect of a reflection combined with any translation is a glide reflection, with as special case just a reflection.
Step-by-step explanation:
pls mark as brainliest
THANKS
ok thx
Step-by-step explanation:
Answer:
The combination of a reflection in a line and a translation in a perpendicular direction is a reflection in a parallel line.
Step-by-step explanation:
Hope this helps!
Tom drive 200 Miles in 4 hours He drives the first 32 miles at an average speed 64 mph Work out the average spoed of journey
Answer:
50mph
Step-by-step explanation:
Step one:
given data
Tom drive 200 Miles in 4 hours
He drives the first 32 miles at an average speed 64 mph
The average speed = total distance/total time take
Average speed= 200/4
Average speed= 50mph
-5x + 8y = 14
12x - 13y = -15
Answer:
you
Step-by-step explanation:
ty for th and you can
24 x 1/6 please help I have no clue I need it asap
Answer:
4
Step-by-step explanation:
24 × 1 = 24 = 4
6. 6
i am pretty sure that's it
Answer:
its 4
Step-by-step explanation:
You can think of 24 as 24/1 so
24 X 1/6
and to multiply two fractions you multiply the numerators and denominators so
24 * 1/6
Now you can divide 6 into 24 and get 4.
Naomi surveyed eighth-grade students at her school to find out which school activities they attended last week. The
results are shown in the two-way frequency table.
Answer: Lol whats the two way table look like
Step-by-step explanation:
How many tablespoons are in 5 quarts?
StartFraction 3 quarts Over 192 tablespoons EndFraction = StartFraction 5 quarts Over question mark tablespoons EndFraction
128
187
320
384
Answer: 320 tablespoons
Answer:
its 320 5 qarts equals 320 talbespoons
Step-by-step explanation:
i took the test and got it right
kp318517
plsssssss
answer
Answer:
3 gallons
Step-by-step explanation: 1 gallon = 3
2 gallons = 8
3 gallons = 12
Answer:
3
Step-by-step explanation:
can someone help me with this I need help
Write (−3) (−3)(−3) (−3) using exponents
Answer:
[tex] { - 3}^{4} [/tex]
Step-by-step explanation:
Negative 3 using exponents will be negative 3^4
Answer:
3^4, or (-3)^4
Step-by-step explanation:
We are multiplying -3 four times, so
(-3)^4
Since we are multiplying an even amount of times, that equals (3)^4
I hope this helps! :)
The table shows which
School subjects are favored by a group of students.
predict the number of students out of 400 that
vould pick science as their favorite subject
pls help
Andrew drives 350 miles in 5.5 hours. Approximately how many miles does he drive per hour?
David says,
“72 kilometres per hour is faster than 20 metres per second."
(b) Is David correct?
You must show how you get your answer.
Answer:
no, 72 km/hr is equal to 20m per sec
Step-by-step explanation:
20 m = .02 km
.02 km per hour is equal to .02(3600) per hour, which is 72 km per hour
(you have to multiply my 3600 to get seconds into hours)
PLS SOMEONE HELP ME ASAP
Answer:
A. (2i)(8) = d. 16i
B. 16i³ = b. -16i
C. (2i)⁴ = a. 16
D. (2i)(8i) = c. -16
Step-by-step explanation:
A. Multiply 2i by 8 to get 16i, which corresponds to d.
B. The exponent is 3 more than a mulitple of 4 in 16i³, so the answer is negative. -16i corresponds to b.
C. (2i)⁴ has an exponent that is a multiple of 4, so the i isn't needed. 16 corresponds to a.
D. (2i)(8i) simplifies to 2(8) * i². The exponent is 2 more than a multiple of 4, so the answer is negative, without an i. -16 corresponds to c.
Please awnsers by 3:00
Answer:
$486
Step-by-step explanation:
8% of 450 = 36
450+36 = $486
Answer:
Step-by-step explanation:
Kendall bought a vase that costs 450
he paid 8% tax
tax=450*(8/100)=36
total cost=450+36=486
In the figure below, =m∠ABD 94°, =m∠EBD 31°, and BE bisects ∠CBD. Find m∠ABC
Simplify the following ( -3m⁴) ( 6m⁶)
A 3m¹⁰
B -18m²
C -18m²⁴
D -18m¹⁰
Answer:
option d
Step-by-step explanation:
(-3m⁴)(6m⁶)
-18m¹⁰
i only need number 7 and 9 please help and show work
Answer:
9
1=49
2=131
3=131
Step-by-step explanation:
1=4
2,3=180-49
and you should answer 7 like this
In the expression 3x - 4y + z, what is the
coefficient of z?
Answer:
1
Step-by-step explanation:
The coefficient is the number in front of a variable. There is a hidden coefficient of 1 in front of z. The reason it is not shown is because any number multiplied by 1 is just that number so showing the 1 is redundant.
The coefficient of z in the expression 3x- 4y +z is 1.
What is expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.Given:
3x - 4y + z
As, we know a coefficient is a number that is multiplied by a variable.
So, the coefficient of x is 3, coefficient of y is 4 and coefficient of z is 1.
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Find the area of the shape shown below.
Answer:
18.75
Step-by-step explanation:
The formula to find the area of a triangle is
A= [tex]\frac{1}{2}[/tex]*b*h
The formula to find the area of a rectangle is simply the length times the base.
Here, you can separate the shapes, two triangle and one rectangle to make it easier to find. Subtract 7.5 and 2.5 to get 5, which will be the base measurements for the triangles.
Next, find the area for the triangles: [tex]\frac{1}{2}[/tex] x 5 x 2.5= 6.25, however, you have two triangles, so multiply by two to get 12.5.
Now, find the area of the rectangle, 2.5 +2.5= 6.25
Lastly, add the measurements together, 12.5 +6.25= 18.75
From which store should Dylan make his purchase if he wants to get the best price per unit?
Answer:
Store 1
Step-by-step explanation:
Given
See attachment
Required
Determine the store with the best price per unit
It should be noted that the store with the best has the least price per unit.
So, we have:
Store 1
[tex]Quantity = 10\ ft[/tex]
[tex]Price = \$2.50[/tex]
The unit rate is:
[tex]Rate = \frac{Price}{Quantity}[/tex]
[tex]Rate = \frac{\$2.50}{10\ ft}[/tex]
Rate = $0.250 per feet
Store 2
[tex]Quantity = 2\ yd[/tex]
[tex]Price = \$1.85[/tex]
Convert quantity to feet
[tex]Quantity = 2 * 3ft = 6ft[/tex]
The unit rate is:
[tex]Rate = \frac{Price}{Quantity}[/tex]
[tex]Rate = \frac{\$1.85}{6\ ft}[/tex]
Rate = $0.308 per feet
Store 3
[tex]Quantity = 12\ ft[/tex]
[tex]Price = \$3.40[/tex]
The unit rate is:
[tex]Rate = \frac{Price}{Quantity}[/tex]
[tex]Rate = \frac{\$3.40}{12\ ft}[/tex]
Rate = $0.283 per feet
Store 4
[tex]Quantity = 5\ yd[/tex]
[tex]Price = \$4.00[/tex]
Convert quantity to feet
[tex]Quantity = 5 * 3ft = 15ft[/tex]
The unit rate is:
[tex]Rate = \frac{Price}{Quantity}[/tex]
[tex]Rate = \frac{\$4.00}{15\ ft}[/tex]
Rate = $0.267 per feet
From the calculations above; store 1 has the least unit rate.
Hence, store 1 has the best price per unit
In a recipe for pizza sauce, the ratio of cans of tomatoes to teaspoons of oregano is 1:6. How many teaspoons of oregano do you need for eight cans of tomatoes?
Answer:
48 teaspoons of Oregano
Step-by-step explanation:
Ratio is given as:
Cans of tomatoes : Teaspoons of Oregano
1 : 6
Hence:
1 can of tomatoes = 6 teaspoons of Oregano
8 can of tomatoes = x teaspoons
Cross Multiply
x = 8 × 6 teaspoons
x = 48 teaspoons of Oregano
For the polynomial state a common factor of all monomials and factor it out. 3/2*x^2yz-9/8*xyz+15/4*xy
Answer:
3/2x²yz – 9/8xyz + 15/4xy = 3/2xy[xz – 3/4z + 5/2)
Step-by-step explanation:
Given 3/2x²yz – 9/8xyz + 15/4xy. Let's look for a common factor.
3/2x²yz = 3/2 * x * y * z
9/8xyz = 3/2 * 3/4 * x * y * z
15/4 = 3/2 * 5/2 * x * y
Looking at the above; 3/2, x and y are common to all terms. Therefore the factor is:
3/2xy. Now let's factor it from each term
3/2x²yz = 3/2xy(xz)
9/8xyz = 3/2xy(3/4z)
15/4xy = 3/2xy(5/2), therefore we have:
3/2x²yz – 9/8xyz + 15/4xy = 3/2xy[xz – 3/4z + 5/2).
Which point would form a right isosceles triangle with Points A and B on the coordinate grid below?
Answer:
I think it's -3,9 there are 7 boxes between a and b and there are 7 boxes between point a and 9