Answer:
a)30-100/1000 • 120
Step-by-step explanation:
Given:
Remaining volume of fuel in a cars tank = I - E • D
where,
I = initial volume of fuel
E = fuel efficiency
D = distance traveled.
Carson
I = 30
E = 100
D = 120
Estimated volume of fuel in Carson's tank = I - E • D
= 30 - 100/1000 * 120
a)30-100/1000 • 120
Answer:
A (30-(100/1000)x120)
Step-by-step explanation:
I is a volume quantity, D is a distance quantity, and E is a rate measured as volume/distance.
So ExD gives us volume quantity.
Distance units are consistent (kilometers) but the volume units of E are inconsistent with those of I and the desired answer.
Let's convert E to liters per kilometer. We will use the fact that there are 1000 cubic centimeters per liter.
You get: 30 liter - 100/1000 liters/kilometer x 120 kilometers
In conclusion, this is the calculation that will give us the estimated volume of fuel that remains in Carson's tank by the end of the drive, in liters:
30-100/1000x120.
Hope this helps!
Find the mean absolute deviation for the set {-32,9,11,12}
A)0
B)8
C)16
D)32
Plssss help
Answer:
The answer is A i think.
Step-by-step explanation:
Im taking the test lol.
Answer:
The answer is 16
Step-by-step explanation:
solve for r. ( geometry )
Answer:
r i r
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
First, distribute. 12r + 16 = -16r - 40
Then get r on one side by adding 16r to both sides then subtracting 16 from both sides. 28r = -56
Finally, divide by 28 on both sides to get r by itself.
r = -2
Find the value of c so that (x+1) is a factor of the polymonial p(x)=5x^4+7x^3-2x^2-3x+c
Answer:
BRAINLIEST PLZZZZ
Step-by-step explanation:
Also given that (x+1) is factor of given polynomial p(x).
Need to determine value of constant c.
We will be solving above problem using factor theorem.
Factor theorem says that if ( x – a) is a factor of any polynomial f(x) , then f(a) = 0.
As in our case f(x) = p(x) and factor of p(x) is (x + 1) , which can be rewritten as (x – ( -1)) , so "a" in our case is -1 .
According to factor theorem p(-1) = 0
On substituting x = -1 , in given expression of p(x) we get
Hence value of c in the given polynomial is 1
Answer:
c = - 3
Step-by-step explanation:
[tex] \because [/tex] (x+1) is a factor of the polymonial [tex] p(x)=5x^4+7x^3-2x^2-3x+c[/tex]
Let (x + 1) =0[tex] \implies [/tex] x = - 1
[tex] \therefore [/tex] at x = - 1, p(x) =0.
[tex]p(x)=5x^4+7x^3-2x^2-3x+c \\ \\ 0 = 5( { - 1})^{4} + 7( { - 1})^{3} - 2( { - 1})^{2} - 3( - 1) + c \\ \\ 0 = 5 \times 1 + 7( - 1) - 2 \times 1 + 3 + c \\ \\ 0 = 5 - 7 - 2 + 3 + c \\ \\ 0 = 7 - 7 + 3 + c \\ \\ 0 = 3 + c \\ \\ c = - 3[/tex]
How can I solve this? 32 1/4 x 1/8
convert 32 1/4 into an improper fraction
Need some help ...please ?
Answer:
C. Starting from the height 1103ft, you gain 91ft each additional hour of climbling
Step-by-step explanation:
First, you subtract the 0 hour from the first hour (or second by third either or works).
1103-1194=91
Then, you put your answer in word for , which is "Starting from the height 1103ft, you gain 91ft each additional hour of climbling".
Finally go back and check to see if you made any mistakes.
Jenise throws a ball 75 times and hits the target 41 times. What is the experimental probability that she will hit the target? State your answer as a percent.
Answer:
Step-by-step explanation:
Probability is the ratio of the required outcome to the total possible outcome
Total outcome = 75
Number of times target was hit (expected outcome) = 41
Pr(she will hit target)= 41/75
Next is to state in percent and u do that by multiplying the resulting fraction by 100
41/75 i n percent.
41/75×100
= 4100/75
= 54.67%
Hence the answer in percentage is 54.67%
Consider the expression 3 + 4 x (5+6) + 7.
Which operation should be evaluated first?
What is the solution set for -4x + 10 ≥ 5x + 55?
Answer:
-4x + 10 ≥ 5x + 55
-9x + 10 ≥ 55
-9x ≥ 45
x ≤ -5
Step-by-step explanation:
Pls i need to be the brainlist PLS
Answer:
x < -5
Step-by-step explanation:
-4x > 5x + 45
-9x > 45
x < -5 <--- switches because dividing by negative number
PLZ HELP ASAP FOR BRAINLIEST
Plz help!!!! I’ll give brainleist!!!
Suppose that a family wants to increase the size of the garden which is currently 16 feet long and 8 feet wide without changing the basic shape of the garden. That is, the family wants to ensure that the length of the garden remains twice the width (see figure).
1. Write an equation for the area of the new garden.
2. Write an equation that calculates how much more area the new garden will have as compared to the current garden. Simplify the equation into a quadratic equation in standard form.
3. Using the equation from Exercise 2, determine what effect increasing the width of the garden by two feet will have on the length of the garden and the total area of the garden.
4. Using the equation from Exercise 2 and factoring, determine how much the width of the garden will need to be increased in order for the garden area to be 160 square feet larger than its original area.
5. Using the equation from Exercise 2 and factoring, determine how much the width of the garden will need to be increased in order for the garden area to be four times its original area.
Answer:
See below
Step-by-step explanation:
Sides of the garden
16 feet and 8 feetNew dimensions of the garden
16 + 2x and 8 + x1. The area of the new garden
(16 + 2x)(8 + x) = 2x^2 + 32x + 1282. The difference in area
2x^2 + 32x + 128 - 16*8 = 2x^2 + 32x3. x= 2 effect on the area
2*2^2 + 32*2 = 8 + 64 =72 ft²4. Area difference = 160
2x^2 + 32x = 160x^2 + 16x - 80 = 0Solving we get positive root of 4 ft5. Area difference = 4 times
2x^2 + 32x = 128*32x^2 + 32x - 384 = 0x^2 + 16x - 192= 0Solving we get positive root of 8 ft• Earth: $$ kilograms
• Sun: $$ kilograms
How many Earths weigh about as much as the Sun?
Use scientific notation.
Show that (3+4)2−(3−4)2−(4)(4)=32
Answer:
Explanation below
Step-by-step explanation:
(3+4)= 7
7+2 = 9
-(3-4) (Invisible one)
-3+4 add to the 9
10
10+2= 12
12-4=8
8×4 =32
Sorry if this seems a bit confusing, but its quite hard to show the process without paper.
Hope this helps! :)
i need help with
If x = 5, find the value of LaTeX: 16-x16 − x
Answer:
-69
Step-by-step explanation:
16-(5)(16)-(5)
16x5=80
16-80-5
16-80=-64
-64-5=-69
what is 4,3125 as a fraction in the simplest form????
Answer:
0.00128
Step-by-step explanation:
4
3125
is already in the simplest form. It can be written as 0.00128 in decimal form (rounded to 6 decimal places).
Steps to simplifying fractions
Find the GCD (or HCF) of numerator and denominator
GCD of 4 and 3125 is 1
Divide both the numerator and denominator by the GCD
4 ÷ 1
3125 ÷ 1
Reduced fraction:
4
3125
Therefore, 4/3125 simplified to lowest terms is 4/3125.
Help me plz I will really like it plz!
Answer:
-5
Step-by-step explanation:
Step 1: Define
f(t) = -3t + 4
f(t) = 19
Step 2: Substitute and Evaluate
19 = -3t + 4
15 = -3t
-5 = t
f(-5) = 19
(BRAINLIEST QUESTION) Marissa decides to use synthetic division to find the quotient of (x3 – 3x2 + 5x – 3) ÷ (x – 1). What value from the divisor should she write in front of the coefficients?
-3
3
-1
1
Answer:
1
Step-by-step explanation:
plllsssssssssss I needddd ansswwerss
Answer:
9/4 or 2¼
Step-by-step explanation:
have the number be represented by x2/3s OF x (of means to mulitply); 3 INCREASED BY (increased by means to add); 1/2 OF x (again, of means to multiply)so we can write the equation like this:2/3x=3+1/2xnow we need to get x by itselfmultiply both sides of the equation by 2/1 (the reciprocal of 1/22/3(2/1)=4/3 ; 1/2(2/1)=1now our equation look like 4/3x=3multiply both sides of the equation by 3/4 (the reciprocal of 4/3)4/3(3/4)=1 ; 3(3/4)=9/4x = 9/4 or 2¼Consider the expression (-15) + 8. Describe a situation that could be represented by the expression. Then, find the sum and explain what it means in the context of the situation.
Answer:
it not
Step-by-step explanation:
What is the fraction for the following decimal expansion?
0.1111111111
Answer:
There’s like this little slach on the top of the number so that’s it a slach on top of the number that is like 11111111111
Step-by-step explanation:
Answer:
0.1111111111=
1111111111
10000000000
Step-By-Step:
Convert the decimal into a fraction by putting the decimal over 1 in fraction format
0.1111111111= 0.1111111111 /1
Multiply the numerator and denominator by 10 to eliminate decimal places
0.1111111111 × 10 /1 × 10 = 1.111111111 /10
HELP ASAP PLZ!!!!!!!!
Solve this problem.
b - 6 < 4
Hi!
Your answer would be: 3(or 4, or 5)
but the main answer is 3.
Hope this helps!
Twice Use what you have learned to compare circles by their characteristics. 1. Draw each circle. A. Radius length of 3 centimeters b. Diameter length of 3 centimeters 2. Describe the similarities and differences between your two circles. 3. Describe the relationship between the circumferences of the two circles. 4. Describe the circumference-to-diameter ratio of all circles.
Answer:
1. a. Please find attached, the diagram for the first circle with radius = 3 cm
b. Please find attached, the diagram for the second circle with diameter = 3 cm
2. The similarities are;
a) Both circles can be described by a point and a radius or a diameter
The differences are;
a) The length of the radiuses are different for the two circles (3 cm and 1.5 cm)
b) The circumferences of the two circles are different
c) The area covered by the two circles are different
3. The circumference of the circle with radius equal to 3 cm is larger than the circumference of the circle with diameter equal to 3 cm
4. The circumference to diameter ratio of the circle with radius = 3 cm is π
The circumference to diameter ratio of the circle with diameter = 3 cm is π
Both circles have equal circumference to diameter ratio given that the circumference = π × The diameter
Step-by-step explanation:
1. a. The radius length of the first circle = 3 cm
The diagram for the first circle with radius 3 cm is attached
b. The diameter length of the second circle = 3 cm
The diagram for the second circle with diameter 3 cm is attached
2. The similarities are;
a) Both circles can be described by a point and a radius or a diameter
The differences are;
a) The length of the radiuses are different for the two circles (3 cm and 1.5 cm)
b) The circumferences of the two circles are different
c) The area covered by the two circles are different
3. The circumference of the circle with radius equal to 3 cm is 2 × π × 3 = 6·π cm
The circumference of the circle with diameter equal to 3 cm is π × 3 = 3·π cm
Therefore, the circumference of the circle with radius equal to 3 cm is larger than the circumference of the circle with diameter equal to 3 cm
4. The circumference to diameter ratio of the circle with radius = 3 cm is 6·π cm/(2 × 3 cm) = π
The circumference to diameter ratio of the circle with diameter = 3 cm is 3·π cm/(3 cm) = π.
Both circles have equal circumference to diameter ratio given that the circumference = π × The diameter.
Write 2 and two-thirds as an improper fraction?
Answer:
2 2/3
Step-by-step explanation:
Find the Greatest Common Factor of each pair of Numbers.
60 and 72; GCF
45 and 81: GCF:
Answer:
60,72 - 12
45,81 - 9
A turtle traveled
1/10 miles in 1/2 hour. What was the turtle's rate in miles per hour?
A: 1/20
B: 1/12
C: 1/6
D: 1/5
The turtle's rate in miles per hour is 1/5 miles/hr.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that a turtle traveled 1/10 miles in 1/2 hour.
Rate is defined as the distance travelled in a unit hour {1 hour}.{R} = x/t.We can write the rate as -
{R} = (1/10)/(1/2)
{R} = (1/10) x 2
{R} = 1/5 miles/hr
Therefore, the turtle's rate in miles per hour is 1/5 miles/hr.
To solve more questions on algebraic expressions, visit the link below -
brainly.com/question/1041084
#SPJ2
what is the value for x in the form of p
does 4(px+1)=64
Step-by-step explanation:
4(px + 1) = 64
Step 1: Add -4 to both sides.
4px + 4 -4 = 64 + -4
4px = 60
Step 2: Divide both sides by 4p.
4px = 60
4p 4p
x = 15
p
CAN SOMEONE PLEASE HELP ME ASAP PLEASEE ANYBODY LITERALLY ANYONE OUT THERE PLEASE
Answer:
Y1 is parallel to Y2 and L1 to L2.
Step-by-step explanation:
A line is 180°. To find the degree the angles I subtracted 117 and 63 by 180 to find thair respective angles. (Also 117+63 equil 180) meaning that the Y's and L's are parallel to each other.
9^4 x 9^5=9 to the power of what
Answer:
9⁹
Step-by-step explanation:
Hi there !
9⁴ ₓ 9⁵ = 9⁴⁺⁵ = 9⁹
Good luck !
find the unit rate kenny reads 4 over 9 pages in 3 over 4 minutes
Answer:
Unit Rate = (4/9)/(3/5) = (4/9)(5/3) = 20/27 pages per minute
Report 01/07/18
Step-by-step explanation:
Please I need this ASAP 15 points
Answer:
The two bowling alleys cost the same when there are 10 people in the group.
Step-by-step explanation:
Bustlin' Bowling first:
$35 base price and then $2 for each person. You can model that with b = 35 + 2x where b is the price and x is the guest number.
Grand Entertainment next:
$20 base price and then $3.50 for each person. You can model that with g = 20 + 3.5x where g is the price and x is the guest number.
So the question asks for the number of people (or what's x) that makes the cost of both bowling places equal.
In variables, it's asking when b = g, what is x?
Starting with b = g, we can replace those with the actual equations. If b = 35 + 2x and g = 20 + 3.5x, then b = g is the same as 35 + 2x = 20 + 3.5x.
I think you know how to solve that (because the trickiest part is usually translating the words into a solvable equation) but in case you don't, here's how:
35 + 2x = 20 + 3.5x
Subtract 2x from both sides.
35 = 20 + 3.5x - 2x
35 = 20 + 1.5x
Subtract 20 from both sides.
35 - 20 = 1.5x
15 = 1.5x
Divide both sides by 1.5.
15/1.5 = 1.5x/1.5
10 = x
Sooo, the answer is 10 people.
Please mark as Brainliest! :)
