Hanks pickup can travel 45 miles on 3 gallons of gas. How many gallons will Hanks pickup need to travel 30 miles?
We have an algebra problem.
We will find that Hank's pickup needs 2 gallons of gas to travel 30 miles.
The information given is:
The pickup can travel 45 miles on 3 gallons of gas.
To find the number of miles that the pickup can travel per gallon of gas, we need to find the quotient between the amount that he travels (45 miles) and the amount of gas that he uses (3 gallons)
This is:
r = (45 miles)/(3 gallons) = 15 miles/gallon.
Now that we know this, the number of gallons needed to travel 30 miles is given by:
N = (30 miles)/(15 miles/gallon) = 2 gallons.
N = 2 gallons.
The pickup needs 2 gallons to travel 30 miles.
If you want to learn more, you can read:
https://brainly.com/question/926748
10 times the quantity 9 minus a number x
Answer:
[tex]10 \times 9 - x \\ x = 10 \times 9 \\ x = 90[/tex]
PLEASE MARK ME BRAINLIEST.Which transformation carries the trapezoid onto itself?
O a reflection across the line x = -1
O a rotation of 180°about the origin
O a rotation of 180° about the point (-1.0)
Answer:
a rotation of 180° about the origin
if f(x)=4x-5 what is the value of f(2)
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Value of Polynomial :The value of a polynomial p(x) or f(x) at x = α is obtained by putting x = α in p(x) or f(x) and it is denoted by p(α) ...!
Required Solution :Let f(x) = 4x - 5
⇒f(2) = 4(2) - 5
= 4 × 2 - 5
= 8 - 5
= 3
Hence, If f(x) = 4x-5 then the value of f(2) will be 3 ...!
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Answer:
f(2) = 3Step-by-step explanation:
f(x) = 4x-5f(2) = (4×2)-5f(2) = 8-5f(2) = 3HOPE THIS HELPS YOU......SHOW STEPS!!
4.
x + 4y -- 67 = -1
2x - y + 2z = -7
-x + 2y -- 43 = 5
I need help on the question up here
2x + 4a = 10
2x = 10 - 4a
x = 5 - 2a
Please help! What is |x-3|=9
Answer:
x = 12 or x = -6
Step-by-step explanation:
Solve for x over the integers:
abs(x - 3) = 9
Split the equation into two possible cases:
x - 3 = 9 or x - 3 = -9
Add 3 to both sides:
x = 12 or x - 3 = -9
Add 3 to both sides:
Answer: x = 12 or x = -6
using the distributive property and gcf determine which of the following expressions is equivalent to: 24+32
Answer:
GCF is 8
32x - 24 = 8(4x - 3)
Step-by-step explanation:
-3+x=-8 what is the answer
Answer:
x=-5
Step-by-step explanation:
add 3 to -8
1 Regroup terms.
x-3=-8
x−3=−8
2 Add 33 to both sides.
x=-8+3
x=−8+3
3 Simplify -8+3−8+3 to -5−5.
x=-5
x=−5
Answer: x=−5
The spinner below shows 10 equally sized slices. Lisa spun the dial 1000 times and got the following results.
Answer:
where are the results
Step-by-step explanation:
Inga is playing poker with some friends.
Let p represent the statement "Inga has two aces in her hand." Let q represent the statement "Inga has a full house." [Note, a "full house" is a specific type of hand in the game of poker.]
Which symbolic form represents the English sentence "Inga has either two aces in her hand or she has a full house."?
Group of answer choices
Symbolic form involves using symbols to represent statements. The symbolic form of the given sentence is p v q
Given that:
[tex]p \to[/tex] "Inga has two aces in her hand."
[tex]q \to[/tex] "Inga has a full house."
The given sentence "Inga has either two aces in her hand or she has a full house." can be represented as:
Either p or q
In symbolic form, either/or is represented as: v
So, the representation of either p or q is: p v q
Read more about symbolic forms at:
https://brainly.com/question/17042406
Simplify the following expression:
2x − 8y + 3x2 + 7y − 12x
Question options:
3x2 − 14x − y
3x2 − 10x − y
3x2 − 10x − 15y
3x2 + 10x − y
Answer:
2nd option
Step-by-step explanation:
Given
2x - 8y + 3x² + 7y - 12x ← collect like terms
= 3x² + (2x - 12x) + (- 8y + 7y)
= 3x² + (- 10x) + (- y)
= 3x² - 10x - y
plz help me!!!!!!!!!!
Use partial products and the distributive property to calculate the product. Use paper to show your work.
300\times 41.9300×41.9
Answer:
22054.36
Step-by-step explanation:
(please help!)
Add −1.25+2.5
Plot the first addend and the sum on the number.
Answer:
the answer of this question is 1.25
Spider-Man worked 0.75 hour on math, 0.675 hour on writing, and 0.25 hour each on science and social studies. How many hours did he work in all?
Answer:
1.675
Step-by-step explanation:
Answer:
The answer is spider man work 1.675 hours
Step-by-step explanation:
0.75+0.675+0.25=1.675
Find the inverse of the following
F(x)=-3/4x+6
Answer:
[tex] {f}^{ - 1} (x)= - \frac{4}{3} x + 8[/tex]
Step-by-step explanation:
[tex]f(x) = - \frac{3}{4} x + 6[/tex]
[tex]y = - \frac{3}{4} x + 6[/tex]
[tex]x = - \frac{3}{4} y + 6[/tex]
[tex] - \frac{3}{4} y + 6 = x[/tex]
[tex] - 3y + 24 = 4x[/tex]
[tex] - 3y = 4x - 24[/tex]
[tex]\boxed{\green{ {f}^{ - 1} (x)= - \frac{4}{3} x + 8}}[/tex]
I will give you brainliest and points like 100.
5 of the students in Lena's class have been in ballet and 9 have been in a play. 2 students have been both in ballet and in a play. How many students have been in ballet but not in a play?
Answer:
3 have only been in ballet
Step-by-step explanation:
If
5 have been in ballet
9 have been in play
2 have been in both ballet and a play
Then
3 have only been in ballet
7 have only been in a play
Answer:
4 students
Step-by-step explanation:
add 2 + 5 = 7
add 9 + 2 = 11
subtract 11 - 7 = 4
there was 2 students added to the 5 students, there was 2 students added to the 9 students/ Sorry if incorrect, i worked it out 4 times.
How many integers have absolute value equal to 3
Answer:
There are 2 integers, which absolute value are 3. -3 and 3 itself
Step-by-step explanation:
|-3| = 3 and |3| = 3 to
Answer:
2 integers at a time will be able to have the same absolute value. This is because integer can be both positive and negative, while absolute value always remains positive:
The absolute value of both 2 and (-2) is 2.
Pls help I’m so confused
[tex]5x-6-x=2x+2\\\\5x-x-2x=2+6\\\\2x=8 \ \ /:2\\\\x=4\\\\\huge\boxed{\text{There is one solution at x=4}}[/tex]
Answer:
There is one solution at x+4
Step-by-step explanation:
pls, help The temperature of a city changed by −24 degrees Celsius over a 6-week period. The temperature changed by the same amount each week.
Part A: Write an expression to show the average change in the temperature of the city each week. (5 points)
Part B: Simplify the expression and explain, using words, what your answer means. (5 points)
Answer:
Step-by-step explanation:
The change over 6 week period is -24 degrees Celcius.
A. -24/6
B . So in average every week the temperature change is -24/6 = -4 degrees Celcius
9. The sum, Sn, of the first n terms of a geometric progression is given by Sn = 3" - 1.
(a) the sum of the first 8 terms.
[tex]\boxed{\sf S_n=3^n-1}[/tex]
Now
[tex]\\ \sf\longmapsto S_8=3^8-1[/tex]
[tex]\\ \sf\longmapsto S_8=6561-1[/tex]
[tex]\\ \sf\longmapsto S_8=6560[/tex]
Solve each equation. Be sure to check for extraneous solutions 53=5|p-4|+8
Is p(4p - 9) =12 or p(4p - 9) - 12 quadratic?
pls need help
From: Brainly.ph (philippines)
Answer:
p(4p - 9) =12 ⇒ 4p² - 9p = 12 ⇒ 4p² - 9p - 12 = 0
This is a quadratic equationp(4p - 9) - 12 ⇒ 4p² - 9p - 12
This is a quadratic expressionStep-by-step explanation:
p(4p-9)=124p²-9p=12Since, it's one term has power 2 ,so it is quadratic
p(4p-9)-124p²-9p-12Since, it's one term has power 2, so it is quadratic
Evaluate 3x when x = -8.
x = -8
3x = 3 · (-8) = -24
.......
please help timed this time i actually added picture
which exponential function is represented by the values in the table?
A 100 ftladder leans against a building. When the angle of elevation of the ladder is 81 degrees, how high up the building will the ladder reach?
Answer:
I am not to sure but i think a.
Step-by-step explanation:
I need the answer to this question
Answer:
y = 3/4x + 19/2
Step-by-step explanation:
m = 3/4. point (-6,5)
Point slope form:
y-5=3/4(x- -6)
y -5 = 3/4x + 18/4. 18/4 = 9/2
Y = 3/4x + 9/2 + 5. 5 times 2 plus 9 over 2 = 19/2
y = 3/4x + 19/2
What geometric sequence comes after25, 625,3125
Answer:
34567 shhzhznznjshshznuzhs
Step-by-step explanation:
the rule 2x×300p
Helpppppppppppppppppppp
Step-by-step explanation:
could you write it clearly pls !!!
Answer:
s = 3/10
Step-by-step explanation:
-S - 5st =0
S = 3
t = -2
-3 - 5 (-2) s =0
10 s = 3
s = 3/10
