You are running a fuel economy study. One of the cars you find is blue. It can travel 44 1/2miles on 1 and 1/4 gallons of gasoline. Another car is red. It can travel 27 1/5 miles on 4/5 gallon of gasoline. What is the unit rate for miles per gallon for each car? Which car could travel the greater distance on 1 gallon of gasoline?
Answer:
Blue carStep-by-step explanation:
Find the miles per gallon rate of each car
Blue car:
44 1/2 ÷ 1 1/4 = 89/2 ÷ 5/4 = 89/2 × 4/5 = 356 / 10 = 35.6 miles per gallonRed car:
27 1/5 ÷ 4/5 = 136/5 × 5/4 = 136/4 = 34 miles per gallonAccording the rates, the blue car could travel the greater distance
expand 7(2x+7). need help quickly if possible
Hello there! :)
To expand this expression, we have to use the Distributive Property, which states:
a(b+c)=ab+ac
7(2x+7)=14x+49
Hence, 14x+49 is the expression (Answer)
Hope it helps you!
~A lonely teen who helps others and listens to her favourite song "How Far I'll Go
-Grace ;-)
Good luck.
7 (2x + 7)
= (7 × 2x) + (7 × 7)
= 14x + 49
_____
Hope it helps ⚜
what is the sum of x+8
Answer:
8 + x
Step-by-step explanation:
you can't combine unlike terms so the equation remains the same, but you should always put integers before variables and coefficients
When finding ratios, did it matter whether you used the values for 3 lawns mowed or the values of 4 lawns mowed?
Triangle 1 is composed of line segments AB, BC, and CA.Triangle 2 is composed of line segments DE, EF, and FD.The triangles are similar with a scale of 5:2.Select the true statement about the proportions of the sides.
Answer:
s**t i'ma be real i don'`t know i was doing imagine math and that question poped up on my quiz and i got it wrong
Step-by-step explanation:
I Don't Know
Please fast as possible.
2 sin A = √3
=》sin A = √3/2
■ If sin A = √3/2, then A = 60° (trigonometric value)
So,
cot A = cot 60° = 1/√3
1 - cot²A / 2 cot A
= 1 - (1/√3)² / 2*(1/√3)
= 1 - (1/3) / 2/√3
= 2/3 / 2/√3
= 2/3 / 2√3/3
Cancel out the 3 in the denominator.
= 2/2√3
= 1/√3
1 - cot²A / 2 cot A = 1/√3
_____
● See the attachment for the trigonometric values.
Hope it helps ⚜
Answer:
√3/3Step-by-step explanation:
2 sinA = √3 ⇒ sinA = √3/2Rewrite as:
(1 - cot²A)/2cotA = (1 - cos²A/sin²A)/(2cosA/sinA) = sinA[(sin²A - cos²A)/sin²A] / (2cosA) =(2sin²A - 1)/(2sinAcosA) = (2sin²A - 1)/[2sinA√(1 - sin²A)]Substitute the value of sinA:
(2(√3/2)² - 1) / [√3 √{1 - (√3/2)²)] =(3/2 - 1)/[√3√(1/4)] =(1/2) /(√3/2) = 1/√3 = √3/3I
Table for a linear equation
Fill in the table using this function rule.
y = 5x-2
X
y
Х
?
- 1
0
1
2
Find the value of x
please helppppp!!!!
Answer:
x = 3
Step-by-step explanation:
The two marked angles form a linear pair, so are supplementary. Their sum is 180°.
(3x +136)° +(5x +20)° = 180°
8x +156 = 180 . . . . . . . . . . . divide by °, collect terms
8x = 24 . . . . . . . . . . . . . . subtract 156
x = 3 . . . . . . . . . . . . . . divide by 8
_____
Additional comment
We suspect the intended answer for the second question is A 25° and 65°. These are possible measures for the acute angles in a right triangle, which must total 90°. No angle will be more than 90° (eliminates C and D), and the two smallest angles must total 90° (eliminates B).
Simplify 3a(2a+7)-2a²
Solve the Math problem
Answer:
1. Becky, 2. No one, 3. Brian and Carol, 4. Tom, 5. Jake
Step-by-step explanation:
The order has to be Brian, Tom, Jake, Becky, and Carol.
1. Becky
2. No one
3. Brian and Carol
4. Tom
5. Jake
you and your friend are both saving your allowance for summer vacation. You start with $50.50 in the bank, and your allowance is $8.50 per week. Your friend starts with $8.00 in the bank, and they get twice as much for allowance. After how many weeks do you have the same amount of money
Answer:
5
Step-by-step explanation:
17+8+17+17+17+17=93
8.50+50.50+8.50+8.50+8.50+8.50=93
Pleaseeeeee I need help!
THANK YOU
[tex] \: \: \: \: \: \: \: [/tex]
[tex] \frac{3}{10} \\ \\ or \: in \: alternate \: \: form \\ \\ 0.3[/tex]
refer to the attachment for explanationhope it helpsplease help for brainliest
Answer:
84 and 144
Step-by-step explanation:
If the two numbers are a and b and their LCM is x and their HCF is y then there is a rule that is a×b=x×y
in this case:
a×b=x×y
a×b=(504)×(24)
a×b=12096
when finding factors of 12096 that are between 60 and 160, we can see that 84 and 144 is the best pair.
hope this helps! :D
have a miraculous day!! <3
HELP PLEASE. The product of the roots of the equation ax^2+x-24=0 is equal to -2 2/5. Find the value of a in the equation.
The value of a in the equation is 10
The root of the equation is determined using the equation shown below:
[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
Given the quadratic equation ax^2+x-24=0;
a = ab = 1c = -24The product of the quadratic equation is c/a
Product = c/a
- 2 2/5 = -24/a
-12/5 = -24/a
-12a = 5 * -24
-12a = -120
a = 10
Hence the value of a in the equation is 10
Learn more about quadratic equation here: https://brainly.com/question/17210919
Compare to ax^2+bx+c
b=1c=-24a=aProduct of roots=c/a
ATQ
[tex]\\ \tt\hookrightarrow \dfrac{c}{a}=-2\dfrac{2}{5}[/tex]
[tex]\\ \tt\hookrightarrow \dfrac{-24}{a}=\dfrac{-12}{5}[/tex]
[tex]\\ \tt\hookrightarrow \dfrac{24}{a}=\dfrac{12}{5}[/tex]
[tex]\\ \tt\hookrightarrow 12a=120[/tex]
[tex]\\ \tt\hookrightarrow a=10[/tex]
Evaluate -(2-6)(23).
O A. -8
B.
1/8
C. 8
O D.
- 1 / 8
Answer:
92
Step-by-step explanation:
- ( 2 - 6 )
= - ( - 4 )
= 4
- ( 2 - 6 ) ( 23 )
= 4 x 23
= 92
The evaluation of - (2- 6) ( 23) is 92
In mathematics, evaluation is a systematic method used in solving expressions. From the given information, we need to first solve the expressions in the brackets before multiplying them together.
From the given information:
= - ( 2 - 6) (23)
= - ( -4) (23)
= 4 × 23
= 92
Learn more about how to evaluate in mathematics here:
https://brainly.com/question/10426112
Solve the equation 6(2x+4)^2=(2x+4)+2 a x=-5/3 or -9/4
Answer:
x=5/3
Step-by-step explanation:
Answer:
-5/3 or -9/4 is the answer
Step-by-step explanation:
Just completed it
the equation above models h, the height of a firework shell in feet, t seconds after launch. what is the height in feet, of the firework shell 2 seconds after launch?
Make x the subject of the formula,
y (x-4) squared +6
Answer:
Is "y (x-4) squared +6": y = (x-4)^2 + 6?
If so,
x = y^(1/2) - 6^(1/2) + 4
Step-by-step explanation:
Assuming the equation is: y= (x-4)^2 + 6y^(1/2)= (x-4) + 6^(1/2)
(x-4) = y^(1/2) - 6^(1/2)
x = y^(1/2) - 6^(1/2) + 4
1) The length of a rectangle is 5 feet more than 3 times its width. If the area is 182
square feet, find the length of the rectangle. If necessary, round to the tenths
place.
Answer:
answer is attached on the photo
PLEASE HELP!! question in picture
Answer:
you speak English or Espanol? I dont wanna answeri with the wrong language
Please help!! markup and markdown word problems.
1. Kathy buys a bicycle after a 30% markdown. The original price was $490.00. What did she pay?
2. Emily buys a toaster during the sale for 10% off. If Ellen pays &36, what was the original price?
Answer:
1) $343
2) $40
Step-by-step explanation:
1) Kathy paid (100 - 30)% of 490
so we can multiply 490 by 70%
490 x .7 = 343
2) let 'x' = original price
if she's saving 10% (or .10) then she's paying 90% (or .90)
.9x = 36
x = 36/.9
x = 40
Which ordered pair is a solution to the equation? 3x-4y=13
A, (3, 1)
B. (3, -1)
C. (-1, 3)
D. (1, 3)
Need asap (will give brainliest to the best answer*
Consider the graph.
Which function best represents the distance remaining, in miles, after
x
minutes?
f
(
x
)
=
10
7
x
+
35
f ( x ) = 10 7 x + 35
f
(
x
)
=
7
10
x
+
35
f ( x ) = 7 10 x + 35
f
(
x
)
=
−
7
10
x
+
35
f ( x ) = − − 7 10 x + 35
f
(
x
)
=
−
10
7
x
+
35
f ( x ) = − − 10 7 x + 35
Answer:
X=5
The factors of x^2 + 2x - 35 are
(X-5) (x+7)
Set x equal to zero & solve
X-5=0
X=5
Step-by-step explanation:
what is 100 over 2 simplifided
Answer:
50
Step-by-step explanation:
The number 46 is more than the number of situps Lyle can do. which of the following inequalities represent the number of situp Lyle can do?
A X< 46
B X>46
C X = 46
D X= 45
The answer is A since the tip of the triangle points to the smallest number
Answer:
a
Step-by-step explanation:
it says 46 is more than that cetain number
How would you graph the solution set of x - 2 > 5?
Open circle on 7 and shaded to the right.
Closed circle on 7 and shaded to the right.
Open circle on 7 and shaded to the left.
Closed circle on 7 and shaded to the left.
open circle on 7 shaded to the right
A quantity with an initial value of 240 grows exponentially at a rate of 9.5% every 2 decades. What is the value of the quantity after 52 years, to the nearest hundredth?
Answer: 303.870087962229
Simplify ≈303.87
Step-by-step explanation:
Grows 9.5%→r=0.095 Divide by 100
Grows every 2 decades: exponent of t2
(where t is in decades)
Write a function:
f(t)=240(1+0.095) ^t/2 Percent change every 2 decades
52 years→52/10→5.2 decades There are 10 years in a decade
Plug in t=5.2
f(5.2)=240(1+0.095) 5.2/2
Answer: 303.870087962229
≈303.87
Round to the nearest hundredth
1/ 99 to 4 significant figures
Answer:
0.01010
Step-by-step explanation:
The decimal equivalent is ...
[tex]\dfrac{1}{99}=0.\overline{01}[/tex]
Rounded to 4 significant figures, it is ...
0.01010
If someone has a cylindrical container filled to the top with water and pours the water in a cone with the same diameter, d= 6in, and height, h=14 in, into the cone, what is the volume of water left in the cylinder?
Answer:
6.2
Step-by-step explanation: TOOK THE TEST
The range of this function
Answer: C
Step-by-step explanation: The range of a function is all the outputs, or in this case all the values on the right side of the function. Therefore, we just look at what numbers are there and we find the range