Answer:
42 mph
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[tex]\\ \sf\Rrightarrow 2\dfrac{1}{4}-\dfrac{3}{8}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{9}{4}-\dfrac{3}{8}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{18-3}{8}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{15}{8}[/tex]
[tex]\\ \sf\Rrightarrow 1\dfrac{7}{8}[/tex]
Answer:
[tex]\textsf{D)} \quad 1 \dfrac{7}{8}[/tex]
Step-by-step explanation:
Subtract the used volume of punch from the starting volume of punch.
Convert the mixed number to an improper fraction:
[tex]\begin{aligned} \implies 2\frac{1}{4}-\frac{3}{8} & = \dfrac{2 \times 4+1}{4}-\dfrac{3}{8}\\\\ & = \dfrac{9}{4}-\dfrac{3}{8}\end{aligned}[/tex]
Make the denominators of both fractions the same by multiplying the numerator and the denominator of 9/4 by 2:
[tex]\implies \dfrac{9 \times 2}{4 \times 2}-\dfrac{3}{8} = \dfrac{18}{8}-\dfrac{3}{8}[/tex]
[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{c}-\dfrac{b}{c}=\dfrac{a-b}{c}:[/tex]
[tex]\begin{aligned} \implies \dfrac{18}{8}-\dfrac{3}{8} & = \dfrac{18-3}{8}\\\\ & = \dfrac{15}{8}\end{aligned}[/tex]
Convert back into a mixed number:
[tex]\begin{aligned}\implies \dfrac{15}{8} & = \dfrac{8+7}{8}\\\\ & = \dfrac{8}{8}+\dfrac{7}{8}\\\\ & = 1\dfrac{7}{8}\end{aligned}[/tex]
is -2x+3 the same as 2x-3
Answer:
no they are different numbers, however their signs are inverted
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
-2x+3 is not the same as 2x-3 because, let's say we set each equation equal to something...
-2x+3 = 10 2x-3 = 10
-3 -3 +3 +3
------------------ -----------------
-2x = 7 2x = 13
x = [tex]\frac{7}{2}[/tex] x = [tex]\frac{13}{2}[/tex]
x = 3.5 x = 6.5
As we can see, these equations are not the same, because, when we set them equal to the same value, the answers are different.
Hope this helps! :D
Solve the system of equations. y=x-5; y=x^2-5x+3
[tex]y = x-5~~....(i)\\\\y =x^2-5x+3~~.....(ii)\\\\\text{Substitute}~ y= x-5 ~\text{in equation (ii):}\\\\x-5 = x^2 -5x +3\\\\\implies x^2 -5x -x +3 +5 =0\\\\\implies x^2 - 6x + 8 =0\\\\\implies x^2 --4x -2x +8 =0\\\\\implies x(x-4) -2(x-4) =0\\\\\implies (x-4)(x-2)= 0\\\\\implies x =4~~ \text{or}~~ x = 2\\\\\text{Substitute x = 4 in equation (i):} \\\\y = 4-5 = -1\\\\\text{Substitute x = 2 in equation (i):} \\\\y = 2-5 = -3\\\\\text{Hence,}~ (x,y) = (4,-1)~ \text{and}~ (x,y) = (2,-3)}[/tex]
5
9
(
F
−
32
)
The equation above shows how temperature
F
, measured in degrees Fahrenheit, relates to a temperature
C
, measured in degrees Celsius. Based on the equation, which of the following must be true?
A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of
5
9
degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
Answer:
A
Step-by-step explanation:
BECAUSE ITS EZ
what would the equation be?
Answer:
y = -2x + 30
Step-by-step explanation:
Firstly, choose 2 coordinates ( I chose [1,28] and [2,,26] ) next use y2-y1/x2-x1 to find your slope, in this case it is -2. Next, take two points and plug them into your equation with your slope to find your b, for this case the b is 30. Put it all together and you get y = -2x + 30
Brainliest would be appreciated. :-)
which ratios make up a proportion
Answer:
2nd option
Step-by-step explanation:
The ratios on both sides must be equal
[tex]\frac{15}{6}[/tex] ( divide numerator/ denominator by 3 )
= [tex]\frac{5}{2}[/tex] ≠ [tex]\frac{3}{2}[/tex] , then not a proportion
[tex]\frac{4}{5}[/tex] ( multiply numerator/ denominator by 3 )
= [tex]\frac{12}{15}[/tex] , this is a proportion
[tex]\frac{9}{21}[/tex] ( divide numerator/ denominator by 3 )
= [tex]\frac{3}{7}[/tex] ≠ [tex]\frac{6}{7}[/tex] , then not a proportion
[tex]\frac{10}{16}[/tex] ( divide numerator/ denominator by 2 )
= [tex]\frac{5}{8}[/tex] ≠ [tex]\frac{2}{8}[/tex] , then not a proportion
Answer:
1. 18/8
2. 16/20
3. 15/28
4. 12/24
PLEASE HELP!
Question 3 (Essay Worth 10 points)
(03.04 MC)The youth group is going on a trip to the state fair. The trip costs $62. Included in that price is $14 for a concert ticket and the cost of 2 passes, one for the rides and one for the game booths. Each of the passes costs the same price. Write an equation representing the cost of the trip, and determine the price of one pass. Solve your equation by showing your work and steps.
Answer:
One pass is $24
Step-by-step explanation:
14+2x=62
-14
2x=48\2
X=24
Answer: The person above's answer
Step-by-step explanation:
I did the test and it was right
solve -(-7x+9)+(3x-1)=0
Answer: x = 1
Step-by-step explanation:
13=2m+5
m = ?
help me pls
Answer:
m=4
Step-by-step explanation:
Answer:
The answer would be 4. It may seem like a lot of steps but its a lot easier then you think haha
Step-by-step explanation:
13-5 = 2m + 5 - 5 (Subtract 5 from both sides of the equation)
8 = 2m (Simplify)
8/2 = 2m/2 ( Divide both sides of the equation by the same term)
m= 4 (Solution)
i need help with this!!
Answer:
[tex]x<-4[/tex]
Step-by-step explanation:
[tex]8x-4<-36\\\Add\:}4\mathrm{\:to\:both\:sides}\\8x-4+4<-36+4\\\mathrm{Simplify}\\8x<-32\\\mathrm{Divide\:both\:sides\:by\:}8\\\frac{8x}{8}<\frac{-32}{8}\\Simplify\\\frac{8x}{8}<\frac{-32}{8}\\Simplify\\\frac{8x}{x}:x\\\mathrm{Divide\:the\:numbers:}\:\frac{8}{8}=1\\=x\\Simplify\\\frac{-32}{8} \\[/tex]
Apply the fraction rule
[tex]=-\frac{32}{8}\\Divide\\ \frac{32}{8} = x=-4\\x<-4[/tex]
Pleaseee help meeee
Answer: A.
Step-by-step explanation:
This is the only option in which the terms are ordered from least to greatest.
Therefore, A is the correct answer.
the production of wheat increases from 25 tons to 30 tons the percantage increase in prodution of wheat is
Answer:
20%
Step-by-step explanation:
The percentage change is the difference divided by the original amount, expressed as a percentage.
(30 -25)/25 × 100% = 20%
Production increased by 20%.
The sum of two polynomials is â€"yz2 â€" 3z2 â€" 4y 4. If one of the polynomials is y â€" 4yz2 â€" 3, what is the other polynomial? â€"2yz2 â€" 4y 7 â€"2yz2 â€" 3y 1 â€"5yz2 3z2 â€" 3y 1 3yz2 â€" 3z2 â€" 5y 7.
The sum of polynomials involves adding the polynomials
The other polynomial is [tex]y^3 -y^2+ 4y - 1[/tex]
The sum of the polynomials is given as:
[tex]Sum = y^3 + 3y^2 + 4y - 4[/tex]
One of the polynomials is given as:
[tex]P = 4y^2 - 3[/tex]
Represent the other polynomial with Q.
So, we have:
[tex]P +Q =Sum[/tex]
Substitute the expressions for P and Sum
[tex]4y^2 - 3 +Q =y^3 + 3y^2 + 4y - 4[/tex]
Make Q the subject
[tex]Q =y^3 + 3y^2 -4y^2+ 4y - 4 +3[/tex]
Evaluate like terms
[tex]Q =y^3 -y^2+ 4y - 1[/tex]
Hence, the other polynomial is [tex]y^3 -y^2+ 4y - 1[/tex]
Read more about polynomials at:
https://brainly.com/question/1487158
How do you graph x less than -3 1/2
Answer:
Graph attached
Step-by-step explanation:
Explain why the square root of a number is defined to be equal to that number to the 1/2 power.
Answer:
This is essentially a rule in the unit of radicals, where n✔️X^m = X^m/n. If the value of m is equal to n, as in 2✔️3^2 it would simply be 3^2/2 which is nothing but 3^1 = 3. Basically, the m value can be greater than n and or less than n, but if it is equal the m and n values cancel out. Hope this helped <3
f(x)=x^3+6x^2+x^1/2 and g(x)=x^1/2 Find f(x)/g(x)
A).x&5/2+6x&3/2-1
B).(x^5+6x^3+1)^1/2
C).x^5/2+6x^3/2+1
D).x^3/2+6x+x^1/4
E).x^3/2-6x+x^1/4
Answer:
C) x^5/2 +6x^3/2 +1
Step-by-step explanation:
The relevant rule of exponents is ...
a^b/a^c = a^(b-c)
__
[tex]\dfrac{x^3+6x^2+x^{1/2}}{x^{1/2}}=x^{3-1/2}+6x^{2-1/2}+x^{1/2-1/2}=\boxed{x^{5/2}+6x^{3/2}+1}[/tex]
Can i get some help :
Answer:
the second
Step-by-step explanation:
Answer:
0.9 + n = 5.2
Step-by-step explanation:
The temperature of a pot of hot water is 200.5. The temperature of the water decreases 3.5 per minute. What is the temperature of the water after 15 minutes?
Answer:
The temperature of the liquid 15 minutes later is [tex]151.5[/tex]
Step-by-step explanation:
This is an example of arithmetic progression
We need to find 15 th term
Here
[tex]a=200.5\\\\d=-3.5\\\\t_{15}=200.5+(15-1)\times-3.5\\\\=151.5[/tex]
5. PRACTICE E Use Math Tools There were 242 fish in 22 fish
tanks at the pet store. If there were an equal number of fish in
each fish tank, how many fish were in each tank? Draw models
to find the quotient.
Answer:
There is 11 fish in each fish tank
Step-by-step explanation:
242 total fish
divided into 22 fish tanks
242÷22=11
Draw 11 fish in each of the 22 fish tanks
Fill in the blank for this graph.
Answer:
2.22
Step-by-step explanation:
12 in. to 36 in. increase in percent or decrease?
Answer:
33.3333%
Step-by-step explanation:
Answer:
12/36=0.333+
it decrease
NO LINKS PLEASE. 18 POINTS! WHAT IS THE ANSWER TO 5 and 6 IN THE SCREENSHOT? PLEASE HURRY! P.S. BRAINLIEST
Answer:
#5 -1.75, 2.5, -0.2
#6 3 1/2, 2 1/4, -1/2
Step-by-step explanation:
Well when the opposite they mean if the number is positive it becomes negative, and if is negative it becomes positive. very simple happy to help :)
Solve the equation for x. 1 2 x − 6 = 8 A) x = −7 B) x = −7 C) x = 14 D) x = 28
Answer:
X = 7
Explanation
2x-6=8
2x=6+8
2x=14
2x/2 = 14/2
x = 7
Help me please i’ll give brainliest!
M=7 v=32 p=mv solve for P
I really really need help on this
Answer:
since m=7 and v=32
p= 7• 32
p= 224
A line has slope 56 and y–intercept −3.
Which answer is the equation of the line?
y=56x+3
y=−3x+56
y=56x−3
y=3x+56
Answer:
c
Step-by-step explanation:
y=mx+b
m=slope
b=y-intercept
m=56
b=-3
y=56x-3
Solve for x in the triangle. Round your answer to the nearest tenth.
Answer:
x=4.225
Step-by-step explanation:
You can use your trigonometric ratios to help you solve this problem. We have the hypotenuse and the angle that the triangle makes with the adjacent side. X is the adjacent side of this problem, therefore we need to take the cosine of this angle (remember SOHCATOA, Sine: Opposite/Hyp, Cosine: Adjacent/Hyp, and Tan: Opp/Adj) using this, we can model an equation where Cos(62)=(x/9), in order to solve for x, simply multiply both sides by 9 to get a final answer of 4.225...
Simplify completely
x2 + 12x +35
3x + 15
[tex]x^2+12x+35\\\\=x^2 +5x +7x +35\\\\=x(x+5) +7(x+5)\\\\=(x+7)(x+5)\\\\\\3x+15 = 3(x+5)[/tex]
Mr. Bannon sells roses at a commission rate of 25%. What is his commission for selling 235 dozen roses, priced at $15.50 a dozen? NEED HELP IMMEDIATELY
Step-by-step explanation:
that means he gets 25% of the sales.
he sold 235 dozen roses for $15.50 per dozen.
so, the total sales was
235 × 15.5 = $3,642.50
100% = $3,642.50
25% = 100%/4 = $3,642.50/4 = $910.63 (rounded to cents)
Calculate the measure of the major arc MPN.
Answer:
310°
Step-by-step explanation:
The sum of arcs around a circle is 360°.
MPN +MN = 360°
MPN = 360° -MN . . . . . . . . subtract MN
MPN = 360° -50° = 310° . . . fill in the given value
The measure of major arc MPN is 310°.