Answer:
8.50 gallons of gas.
Step-by-step explanation:
The slope in this scenario is -1.25 gallons per mile, this means that for every mile that Evin drives she is wasting 1.25 gallons of gasoline. Since she only drove 1 hour at the begining and after that hour her tank had 7.25 gallons, then we can simply add 1.25 gallons to her tank at this moment to make up for the 1 hour she drove and that would give us the total amount of gas she had before she started driving.
7.25 + 1.25 = 8.50 gallons of gas.
Evin was losing gas at a rate of 1.25 gallons per hour and she started with 8.5 gallons.
A linear equation is given by:
y = mx + b;
where y, x are variables, m is the rate of change and b is the y intercept.
Let y represent the amount of gallons left after x hours.
She notices that after 1 hour her gas tank has 7.25 gallons left. Hence:
7.25 = m(1) + b
m + b = 7.25 (1)
After 4 hours of driving, it has 3.5 gallons of gas left in it. Hence:
3.5 = 4(m) + b
4m + b = 3.5 (2)
Solving equations 1 and 2 simultaneously gives m = -1.25, b = 8.5
Hence Evin was losing gas at a rate of 1.25 gallons per hour and she started with 8.5 gallons.
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In a collection of coins there are twice as many nickels as dimes and seven less quarters then dimes. Find the number of each coin if the collection is worth $16.25
Answer:
15 nickels, 6 quarters, and 12 dimes.
Step-by-step explanation: i hoped it helped ;)
If 3 sandwiches cost $12.70, how much will 13 sandwiches cost?
Answer - $55.03 .
12.70 divided by 3 = 4.23 x 13 = 55.03 .
A scenic overlook which extends over a ravin is shaped like a kite. I’m slow help
Answer:
B
Step-by-step explanation:
Prove that 3+2 root 3 is irrational
Answer:
Hi friend,
Let 3+2√3 is a rational number.
A rational number can be written in the form of p/q.
3+2√3=p/q
√3=p/2q-3
√3=p-6q/2q
p,q are integers then (p-6q)/2q is a rational number.
But this contradicts the fact that √3 is an irrational number.
So,our statement supposed is false.
Therefore,3+2√3 is an irrational number.
Step-by-step explanation:
Answer:
in the explanation
Step-by-step explanation:
The sqrt of 3 is irrational. Any rational number multiplied or divided with an irrational number is also irrational (2 root 3). It's the same for addition and subtraction, any rational number added or subtracted from an irrational number is also irrational (2 + root 2).
Hope this helps!
In ΔPQR, \overline{PR} PR is extended through point R to point S, \text{m}\angle QRS = (4x-15)^{\circ}m∠QRS=(4x−15) ∘ , \text{m}\angle RPQ = (x+1)^{\circ}m∠RPQ=(x+1) ∘ , and \text{m}\angle PQR = (x-2)^{\circ}m∠PQR=(x−2) ∘ . Find \text{m}\angle RPQ.m∠RPQ.
Answer:
Step-by-step explanation:
Notice that, the angle QRS is external to the triangle and adjacent to the angle PRQ. According to the theorem of a external/adjacent angle, we have: m∠QRS = m∠PQR + m∠RPQ, where PQR and RPQ are internal angles.
From the hypothesis, we have:
m∠QRS =(10x−12)∘(10x−12)
m∠PQR = (3x+20)∘(3x+20)
m∠RPQ=(3x−8)∘(3x−8)
Using the first equation and replacing the hypothesis:
m∠QRS = m∠PQR + m∠RPQ
(10x−12)∘(10x−12) = (3x+20)∘(3x+20) + (3x−8)∘(3x−8)
Multiplying and applying the remarkable identity:
Then, we use a calculator to find the roots, which are:
In this case, we will see what root is the right one.
Now, we replace it into m∠QRS =(10x−12)∘(10x−12), because we need to find m∠QRS.
m∠QRS =(10x−12)∘(10x−12) = (10(4.7) - 12) (10(4.7) - 12) = (35) (35) = 1225
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
if you are doing deltamath
-1/5÷2/0 plzz i need this
[tex]-\frac{1}{5}[/tex] ÷ 20 = - 100
or -0.01
there are two answers you can come up with choose wisely
Find the sum of the interior angle measures of the polygon.
explain pls
Answer:
The sum of the interior angles would be 360 because every quadrilateral has the interior angles equaling 360
Step-by-step explanation:
1) 35 is what percent of 140 2) 250 is 45% of what number? 3) 74 is what percent of 740? 4) 350 is 50% of what number?
Answer:
1) 25%
2) 555.56
3) 10%
4) 700
Step-by-step explanation:
1) 35 is what percent of 140
This is calculated as:
35/140 × 100
= 25%
2) 250 is 45% of what number?
Let the number be represented as x
This is calculated as:
45% of x = 250
45/100 × x = 250
45x /100 = 250
Cross Multiply
45x = 250 × 100
x = 25000/45
x = 555.55555556
x = 555.56
3) 74 is what percent of 740?
Let the percentage be represented by x
x% × 740 = 74
Divide both side by 740
x% = 74/740
x% = 0.1
Converting to percentage
0.1 × 100 = 10%
4) 350 is 50% of what number?
Let the number the represented by x
This is calculated as:
50% of x = 350
50/100 × x = 350
50x /100 = 350
Cross Multiply
50x = 350 × 100
x = 35000/50
x = 700
x = 555.56
A family is driving 550 miles to their grandmother's house. They have already driven 350 miles. Which equation shows the rate r, in miles per hour the family must drive to reach their grandmother's house in 4 hours
Answer:
50 mph
Step-by-step explanation:
drive to reach their grandmother's house in 4 hours
Given that:
Miles driven = 550 miles
Miles already driven = 350 miles
Miles left to drive = (550 - 350) miles = 200 miles
To reach destination in 4 hours
Speed in miles per hour will be :
Distance / time
= 200 miles / 4 hours
= 50 miles / hour
Answer:
50 mph
Step-by-step explanation:
julieta rocio a nieva
Solve: 3 – 8x = -13 Please help
Answer:
x=2
Step-by-step explanation:
Alandra's rectangular cake pan is 33cm by 23 cm. She has enough cake batter to fill it to a depth of 3 cm. Instead, Alandra wants to pour the batter into ice cream cones. She plans to fill each cone to a depth of 9 cm with a diameter of 4 cm. How many whole cones can Alandra fill?
Answer:
Alandra can fill 60 whole cones
Step-by-step explanation:
The volume of a rectangular prism is V = L × W × H, where
L is its lengthW is its widthH is its heightThe volume of the cone is V = [tex]\frac{1}{3}[/tex] π r² h, where
r is the radius of its baseh is its height∵ Alandra's rectangular cake pan is 33 cm by 23 cm
∴ L = 33 cm and W = 23 cm
∵ She has enough cake batter to fill it to a depth of 3 cm.
∴ H = 3 cm
→ Find the volume of the batter using the 1st rule above
∵ V = 33 × 23 × 3
∴ V = 2277 cm³
∵ Alandra wants to pour the batter into ice cream cones
∵ She plans to fill each cone to a depth of 9 cm with a diameter of 4 cm
∴ h = 9 cm
∵ r = [tex]\frac{1}{2}[/tex] diameter = [tex]\frac{1}{2}[/tex] (4)
∴ r = 2 cm
→ Substitute them in the 2nd rule above to find the volume of each cone
∵ V = [tex]\frac{1}{3}[/tex] (π) (2)² (9)
∴ V = 12π cm³
→ To find the number of cones divide the volume of the batter by
the volume of each cone
∵ Number of cones = 2277 ÷ 12π
∴ Number of cones = 60.3993
→ We will take the whole number only because we need the whole cones
∴ Alandra can fill 60 whole cones
If the edge of a square measures 3x, which expression represents the perimeter?
A) 12x B) 3x + 4 C) 6x D) 6x2
Answer:
A
Step-by-step explanation:
3x × 4 =12x
Mark me brainliest pls
and thank me
Answer:
I think it is A
Step-by-step explanation:
Hope this helped have an amazing day!
Find the value of k, if x + 3 is a factor of 3x² + kx + 6. *
Given:
Polynomial = P(x) = 3x² + kx + 6
Factor of the ablove polynomial = (x+3)
To Find:
Value of K, for which (x+3) become the factor of P(x) = 3x² + kx + 6
Solution :
Now,
x + 3 = 0
⇒x = (-3)
So,
As (x+3) is a factor so x = (-3) is one root of the polynomial.
Therefore,
P(-3) = 0
→ P(-3) = 3(-3)² + k(-3) + 6 = 0
→ 3(9) - 3k + 6 = 0
→ 27 - 3k + 6 = 0
→ 27 + 6 - 3k = 0
→ 33 - 3k = 0
→ - 3k = -33
→ k = -33 ÷ -3
→ k = 11
Hence,For the value of k = 11, (x+3) is a factor of 3x²+ kx + 6V E R I F I C A T I O N :3x²+ kx + 6, by putting the value of k = 11 and taking -3 as root the remainder should be zero
→ 3x²+ 11x + 6
→ 3(-3)² + 11(-3) + 6
→ 3(9) - 33 + 6
→ 27 - 33 + 6
→ 27 + 6 - 33
→ 33 - 33
→ 0
Hence verified !
Choose the equation that represents the line passing through the point (−2, −3) with a slope of −6.
y = −6x − 15
y = −6x − 20
y = −6x + 15
y = −6x + 20
Which of the following are solutions to the equation below?
Check all that apply.
X2 + 10x+ 25 = 8
X^2+10x+25 =8
Answer shown in figures below
there are Thirty coins and they are all dimes and nickels, and they are worth $2.60. How many nickles and dimes are there
Answer:
22 dimes, 8 Nickels
Step-by-step explanation:
Mary made $216 for 12 hours of work. At the same rate, how many hours would she have to work to make $162?
Answer:
2754
Step-by-step explanation:
Answer:
9 Hours
Step-by-step explanation:
162 X 12 / 216 = 9 Hours
HURRYYY i neeeeeddd helppppppppp look at the photo ^^^
work out 140-3^2×(8+4)+6÷2
Answer:
140 - 9 (12) + 3
140 - 108 +3
140 - 111
= 29
can you help me please
Answer:
zero slope
Step-by-step explanation:
its not goin up or down so there is no slope:)
also look below :)
What is the y-intercept of the functiion f(x)=-2/9x+1/3 O-2/9 O-1/3 O1/3 O2/9
Please see the image attached for the solution.
solve by completing the square t² - 6t = 7
Answer:
t = 7 or t = -1
Step-by-step explanation:
You can use a calculator or:
t² - 6t = 7
-> t² - 6t -7 = 0
-> t² - 7t + t - 7 = 0
-> t(t-7) + (t-7) = 0
-> (t-7) . (t+1) = 0
-> t = 7 or t = -1
Answer:
T = 7
Step-by-step explanation:
How you find T is by multiplying different numbers and squaring them by subtracting until you get to the number that equals to 7
The scale of a map is 1 inch: 3 miles. Red Oak is 15 miles from Marsh City. What would its distance be on the map? PLEASE ANSWER ASAP!!!
Answer:
5 inches
Step-by-step explanation:
[tex]\frac{1}{3} =\frac{x}{15}\\3x=15\\x=5[/tex]
Which states the main argument of the essay?
A. the first sentence
B. the second sentence
C. the third sentence
D. the fourth sentence
Answer:
d
Step-by-step explanation:
that's the argument that they are making
Answer:
b
Step-by-step explanation:
can anyone answer this with expanation?
18. ∆PQR =~ ∆RPA ( by SAS )
19. ∆DQR =~ ∆PQR ( by AAS )
20. ∆ARO =~ ∆PQO ( by AAS )
15 m/s in km/h plz help
Answer:
54 km/h
Step-by-step explanation:
Step one:
given data
We are required to perform unit from m/s km/h
from 15m/s to km/h
Step two:
1 meter= 1/1000 km,
1 seconds= 1/3600 hour
1m/s = 1/1000/1/3600= km/h= 3600/1000= 36/10= 18/5 km/h
so of 1m/s is equivalent to 18/5 km/h
then 15m/s is equivalent to x
cross multiply
x= 15*18/5
x= 3*18
x=54 km/h
20POINTS Which exponential functions have been simplified correctly? Check all that apply. f (x) = 5 RootIndex 3 StartRoot 16 Endroot Superscript x Baseline = 5 (2 RootIndex 3 StartRoot 2 EndRoot) Superscript x f (x) = 2.3 (8) Superscript one-half x Baseline = 2.3 (4) Superscript x f (x) = 81 Superscript StartFraction x Over 4 EndFraction Baseline = 3 Superscript x f (x) = three-fourths StartRoot 27 EndRoot Superscript x Baseline = three-fourths (3 StartRoot 3 EndRoot) Superscript x f (x) = (24) Superscript one-third x Baseline = 2 (RootIndex 3 StartRoot 3 EndRoot) Superscript x
Answer:
Options A C D
Step-by-step explanation:
doing the edge 2020 assignment right now
The correct answer are option (A) , (B), (C) and (D)
[tex]f(x) = 5(\sqrt[3]{16} )^x[/tex]
[tex]f(x) = 2.3(8)^\frac{1}{2}[/tex]
[tex]f(x) = 81^\frac{x}{4}[/tex]
[tex]f(x) = \dfrac{3}{4} (\sqrt{27} )^x[/tex]
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that perform arithmetic operation are called arithmetic operators .
Operators which let do basic mathematical calculation
+ Addition operation : Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation : Subtracts right hand operand from left hand operand.
for example 4 -2 = 2
* Multiplication operation : Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation : Divides left hand operand by right hand operand
For example 4/2 = 2
Given exponential functions :
[tex]f(x) = 5(\sqrt[3]{16} )^x[/tex]
[tex]f(x) = 2.3(8)^\frac{1}{2}[/tex]
[tex]f(x) = 81^\frac{x}{4}[/tex]
[tex]f(x) = \dfrac{3}{4} (\sqrt{27} )^x[/tex]
[tex]f(x) = (24)^\frac{1}{3}^x[/tex]
Simplification of the given exponential functions :
[tex]f(x) = 5(\sqrt[3]{16} )^x = 5(\sqrt[3]{2^3\times2} )^x = 5(2\sqrt[3]{2} )^x[/tex]
[tex]f(x) = 2.3(8)^\frac{1}{2} = 2.3(2^3)^\frac{1}{2}^x = 2.3.2(2)^\frac{1}{2}^x = 24.(2)^\frac{1}{2}^x[/tex]
[tex]f(x) = 81^\frac{x}{4} = f(x) = (3^4)^\frac{x}{4} = 3^x[/tex]
[tex]f(x) = \dfrac{3}{4} (\sqrt{27} )^x = \dfrac{3}{4} (\sqrt{3^3} )^x = \dfrac{3}{4} 3^x[/tex]
[tex]f(x) = (24)^\frac{1}{3}^x = 2(2)^\frac{1}{3}^x[/tex]
Hence, the correct answer are option (A) , (B), (C) and (D)
[tex]f(x) = 5(\sqrt[3]{16} )^x[/tex]
[tex]f(x) = 2.3(8)^\frac{1}{2}[/tex]
[tex]f(x) = 81^\frac{x}{4}[/tex]
[tex]f(x) = \dfrac{3}{4} (\sqrt{27} )^x[/tex]
Learn more about Arithmetic operations here:
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What is the highest common factor of 4xy ,12x2y
Answer:
Step-by-step explanation:
12x^2y / 4xy = 3x
So 4xy is the highest common factor.
Answer:
4x2y
Step-by-step explanation:
4xy = 4x4y
12x ÷ 4 = 3x
2y ÷ 2 = 1y
Hope this helps !
Merry Christmas
Which point of concurrency is always on the vertex of a right triangle
Answer:For every right triangle, the circumcenter is always the midpoint of the hypotenuse. All four points of concurrency can themselves be concurrent! Only with an equilateral triangle will the centroid, circumcenter, incenter and orthocenter always be the same point!
Step-by-step explanation:
In the expression 50+4x the number (4) in front of the variable (x) represents the rate of change true or false