Answer:
10+78t-16t^2
Step-by-step explanation:
(-16t-2)(t-5)
-16t × t= -16t²
-16t × -5=80t
-2 × t= -2t
-2 × -5=10
-16t²+80t-2t+10= -16t^2+78+10
Andre is buying snacks for the track and field team. He buys a pound's of apricots for $6 per pound and b pounds of dried bananas for $4 per pound he buys a total of 5 pounds of apricots and dried bananas and spends a total of $24.50 Which system of equations represents the constraints in the situation?
Answer:
a + b = 5 ...........1
6a + 4b = 24.50 ......... 2
Step-by-step explanation:
Let a be the amount of pounds of apricot bought
Let b be the amount of pounds of banana bought
If he buys a total pounds of 5 pounds then;
a + b = 5 ...........1
Also if a pound's of apricots for $6 per pound, total amount of aprciots bought will be $6a
Also if b pound's of banana is for $4 per pound, total amount of banana bought will be $4b
If he spends a total of $24.50 on both banana and apricots, then:
6a + 4b = 24.50 ......... 2
The system of equations that represents the constraints in the situation is:
a + b = 5 ...........1
6a + 4b = 24.50 ......... 2
Answer: C
Step-by-step explanation:
How many solutions does the following equation have? -6(x + 7) = -42 - 2
Answer:
x = 1/3 or .333
Step-by-step explanation:
A survey found that women's heights are normally distributed with mean 62.6 in. And standard deviation 2.5 in. The survey also found that men's heights are normally distributed with mean 68.3 in. And standard deviation 3.3 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. And a maximum of 64 in. If the height requirements are changed to exclude only the tallest 50% of men and the shortest 5% of men, what are the new height requirements?
Answer:
The new height requirements are minimum of 64.1875 inches and maximum of 68.3 inches
Step-by-step explanation:
To exclude the tallest 50% of men and shortest 5% of men, we need to find the critical z-value for a significance level of 0.5 & 0.05 and then solve for x in the z-score equation.
For significance value of 0.5, z = 0
We are given;
μ = 68.3 in
σ = 2.5 in
Thus from z = (x - μ)/σ, we have;
0 =(x - 68. 3)/2.5
0 = x - 68. 3
x = 68.3 inches for men max
Similarly, for significance value of 0.05, z = -1.645
Thus to find x;
-1.645 = (x - 68. 3)/2.5
-4.1125 = x - 68.3
x = 68.3 - 4.1125
x = 64.1875 inches for men min
The value of a baseball card can be represented by the equation y = 3 x + 39, where x represents the number of years that Robert has owned the card and y represents the total value, in dollars, of the card. What was the value of the card when Robert originally purchased it?
$3
$13
$36
$39
Answer:
The answer will be $39 :)
Answer:
$39
Step-by-step explanation:
When you are trying to find the endpoint when given the midpoint and one point, what would the new formula be? Manipulate the formula using skills for solving literal equations. How would you find LaTeX: x_2\:\:\:or\:\:\:y_2x 2 o r y 2? Use LaTeX: x_m\:\:and\:\:\:\:y_mx m a n d y mto notate the midpoints. Remember the original midpoint formula is LaTeX: \left(\frac{x_1+\:x_2}{2},\:\:\frac{y_{1\:}+y_2}{2}\right)\:=\:\left(x_m,\:y_m\right)
Answer:
[tex](x_2,y_2) = (2x_m - x_1 ,2y_m - y_1 )[/tex]
Step-by-step explanation:
Given
[tex]\left(\frac{x_1+\:x_2}{2},\:\:\frac{y_{1\:}+y_2}{2}\right)\:=\:\left(x_m,\:y_m\right)[/tex]
Required
Determine x2, y2
Start by splitting the expression
[tex]x_m = \left(\frac{x_1+\:x_2}{2})[/tex] and [tex]y_m = (\frac{y_{1\:}+y_2}{2})[/tex]
Solving for x2 in [tex]x_m = \left(\frac{x_1+\:x_2}{2})[/tex]
Multiply through by 2
[tex]2 * x_m = \frac{x_1 + x_2}{2} * 2[/tex]
[tex]2x_m = x_1 + x_2[/tex]
Make x2 the subject;
[tex]x_2 = 2x_m - x_1[/tex]
Similarly:
[tex]y_m = (\frac{y_{1\:}+y_2}{2})[/tex]
Multiply through by 2
[tex]2 * y_m = \frac{y_1 + y_2}{2} * 2[/tex]
[tex]2y_m = y_1 + y_2[/tex]
Make y2 the subject;
[tex]y_2 = 2y_m - y_1[/tex]
Hence:
[tex](x_2,y_2) = (2x_m - x_1 ,2y_m - y_1 )[/tex]
plz help important!!!!!!!!!!!!!!!!!!!!!!
Answer:
the cost of gas i think
Step-by-step explanation:
i dont really know
Answer:
I think it is, B( The length of the route
Step-by-step explanation:
8. Fred is ordering pies for a family reunion. Each pie costs $4.50. For orders
smaller than a dozen pies, there is a $5 delivery charge. Is the cost proporti
to the number of pies ordered? Use a table of values to explain your reason
Answer:
Yes, because the more pies ordered the more money it will cost to buy them all
Step-by-step explanation:
total cost is not proportional to the number of pies.
What is proportionality?the property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.
given Fred is ordering pies for a family reunion. Each pie costs $4.50. For orders smaller than a dozen pies, there is a $5 delivery charge.
Fred is ordering pies for a family reunion. Each pie cost $4.50. For orders smaller than a dozen pies, there is a $5 delivery charge.
Let us draw a table for the number of pies and the total cost
Number of pie Total Cost
1 $4.50+5=$9.50
2 $9+5=$14
3 $13.50+5=$18.50
4 $18+5=$230
5 $22.50+5=$26.50
now Total cost/number pies = 9.50/1 is not equals to 14/2
Therefore the total cost is not proportional to the number of pieces
Learn more about proportionalities here:
https://brainly.com/question/3254974
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Patulong naman sa business math HAHHA
What are the equivalent forms of the number shown in the model?
Word: _____
Fraction: _____
Decimal: _____
Answer:
word: eight-tenths
fraction: 8/10 = 4/5
decimal: 0.8
Step-by-step explanation:
i got it right
word: eight-tenths
fraction: 8/10 = 4/5
decimal: 0.8
What is fraction?A number expressed as a quotient, in which a numerator is divided by a denominator.
As, per the diagram there are total of 10 columns out of which 8 are shaded blue.
So, if we write the fraction of shaded part it will be 8/10.
So, in word: eight-tenths
fraction: 8/10 = 4/5
decimal: 0.8
Learn more about fraction here:
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ILL GIVE BRAINLIEST IF RIGHT ASAP
Answer:
Everything with a dilation so B and E
Step-by-step explanation:
The second and last one, because dilations are only transformation that makes figures SIMILAR!
Solve the quadratic
9x2 + 25 = 0
Answer:
9x^2=-25
X^2=-25/9
X^2=-2. 77
X= root - 2.77
=-1. 664Hope this helps you Stay happy and safe Do mark as brainliest ✌️ASAP WILL GOVE BRAINLIEST FO YOU EXPLAIN AND GIVE ME ANSWER ASAP
Answer:
[tex]105 \frac{3}{10}[/tex], so most likely G
Step-by-step explanation:
[tex]105.3=105.30=105 \frac{30}{100} =105\frac{3}{10}[/tex]
First, we convert to a fraction. Then, we simplify.
The water level at Lake Livingston last week was 3.45 inches below sea level. After a heavy rain, the lake measured 2.9 inches above sea level. What was the change in the water level?
Answer the following questions based on this word problem:
The Beck family is planning on renting a car for their vacation. The two rental car companies have
different pricing plans.
Company A is $0.10 per mile and $25 a day.
Company B is $0.05 per mile and $40 a day.
Let x represent the number of miles and y represents the cost. They are only renting the van for 1 day.
Answer:
Step-by-step explanation:
A: $0.1(x) + 25(y) = x + 25
B: $0.05(x) + $40(y) = x + 40
Because they didn't give a certain amount of miles traveled, we have to go with we do know.
**this is probably wrong.
60 ft/s = ? Km/h
Please show me how to solve this.
Answer: 65.88 km/h
Step-by-step explanation:
When multiplying conversion factors, make sure the only remaining units are the desired units.
Car Y travels 105 miles on 3 gallons of petrol. Car Z travels 80 miles on 9 litres of petrol.
Which car has better petrol consumption ( more miles per gallon)?
You may use the fact that 1 gallon =4.5 litres
Options are
A. None
B. Y
C. Z
Answer:
Car Z has better petrol consumption. Choice C. Z
Step-by-step explanation:
Petrol Consumption
Car Y travels 105 miles on 3 gallons of petrol. The average consumption is 105 / 3 = 35 miles/gallon
Car Z travels 80 miles on 9 litres of petrol. Since 1 gallon=4.5 litres, the consumption of car Z is 9/4.5= 2 gallons. The average consumption is 80/2 = 40 miles/gallon.
This means that car Z has better petrol consumption. Choice C. Z
One tank is filling at a rate of 5/8 gallon per 7/10 hour. What is the unit rate per hour?
Answer:
7.14
Step-by-step explanation:
Which linear function represents the line given by the point-slope equation y + 7= -2/3 (x+6)
A) f(x) = -2/3x – 11
B) f(x) = -2/3x -1
C) f(x) = -2/3 + 3
D) f(x) = -2/3 + 13
[tex]y + 7 = - \frac{2}{3}(x + 6) \\ [/tex]
[tex]y + 7 = - \frac{2}{3}x - 4 \\ [/tex]
Subtract sides -7
[tex]y = - \frac{2}{3}x - 4 - 7 \\ [/tex]
Thus ;
[tex]y = f(x)= - \frac{2}{3}x - 11 \\ [/tex]
So the correct answer is (( A )) .
Are any of these numbers an Integer?
15
20/5
44
13/19
-35.47
;w; help
Answer: 15, and 44 are integers.
Step-by-step explanation: For 15 to be an integer, 15 has to be a whole number. Furthermore, for 15 to be an integer, you should be able to write 15 without a fractional or decimal component. 15 is a whole number that can be written without a fractional component, thus 15 is an integer, as well as 44.
14:6 divided by 5 ( the 14:6 is a ration )
y=-3x-1 find slope and y interceapt
Slope = - 3
y-int = - 1
Step-by-step explanation:Understanding slope intercept
y = mx + b
y = Slope(x) + y-intercept
y = -3x - 1
y = (-3)x + (-1)
Slope = - 3
y-int = - 1
Hope this helps,
What is the y-intercept of the function f(x) = -2/9x + 1/3
-2/9
-1/3
1/3
2/9
Answer:
Step-by-step explanation:
-1/3
A set of average city temperatures in May are normally distributed with a mean of 20.66 ^\circ \text{C}20.66
∘
C20, point, 66, degrees, start text, C, end text and a standard deviation of 2 ^\circ \text{C}2
∘
C2, degrees, start text, C, end text. The average temperature of Singapore is 26 ^\circ \text{C}26
∘
C26, degrees, start text, C, end text.
What proportion of average city temperatures are lower than that of Singapore?
You may round your answer to four decimal places.
Answer:
0.9962
Step-by-step explanation:
The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma}\\ \\\mu=mean,\sigma=standard\ deviation, x=raw\ score[/tex]
μ = 20.66°C, σ = 2°C
For x < Singapore temperature, i.e. x < 26
[tex]z=\frac{x-\mu}{\sigma} =\frac{26-20.66}{2}=2.67[/tex]
From the normal distribution table P(x < 26) = P(z < 2.67) = 0.9962
2,550 gallons in 30 days
James has $40 to spend. He wants to buy 2 tickets to a show. He has to spend $7 to get where tickets are sold. The following inequality can be used to find out the highest price James can afford to pay for each ticket. 2x+7 less than or equal to 40.
A.) x less than or equal to 23.5
B.) x less than or equal to 16.5
C.) x greater than or equal to 23.5
D.) x greater than or equal to 16.5
Answer:
B.) X less than or equal to 16.5
Step-by-step explanation:
If you take his limit, 40 and subtract the 7 dollars you will get 33. Then, divide that by two because he will need two tickets and you will get 16.5. It can't be greater than 16.5 because he will go over his budget.
Answer:
x ≤ 16.5
Step-by-step explanation:
40 ≤ 2t + 7 Subtract 7 from both sides.
40 - 7 ≤ 2t + 7 - 7
33 ≤ 2t Divide both sides by 2.
[tex]\frac{33}{2}[/tex] ≤ [tex]\frac{2t}{2}[/tex]
16.5 ≤ t or t ≥ 16.5
answerrrr plssssssssssssssssssssssssssssssssssss
Answer:
c
Step-by-step explanation:
because like it would happen in real life yk and the others dong make sense at all
tell me if its right
Answer:
c)scene
according to me
PLEAse i need help brainlist if u get it right
Answer:
C) The resulting figure will be congruent to the original rectangle, because dilations with a scale factor of 1 have the same coordinates.
Step-by-step explanation: Multiplying any number by 1 will result in the same number, this applies to coordinates as well.
Subtract the expression :
- 5x + 3x - 24
Plzz ....answer....plzzz
Answer:
-2x-24
Step-by-step explanation:
-5x+3x-24 = - 2x-24
Answer:
-2x-24 hope dis helped
A chance of X to 21532020(x+5)
I have literally no clue, help please?
Answer: x+5/21532020
Step-by-step explanation:
This question simply implies that if we need to know the chances of getting the chance value it would be 21532030 times smaller for the x+5.
Both questions in picture! Will give brainliest!!
Answer:
See belolw
Step-by-step explanation:
[tex]P=53\text{ft}[/tex]
[tex]P = a+b+c[/tex]
[tex]53=2x-15+x+1+3x-29[/tex]
[tex]53=6x-43[/tex]
[tex]96=6x[/tex]
[tex]x=16[/tex]
[tex]a=2x-15[/tex]
[tex]a=2(16)-15[/tex]
[tex]\boxed{a=17}[/tex]
[tex]b=x+1[/tex]
[tex]b=16+1[/tex]
[tex]\boxed{b=17}[/tex]
[tex]c=3x-29[/tex]
[tex]c=3(16)-29[/tex]
[tex]\boxed{c=19}[/tex]
Answer:
1. x=16, a=17, b=17, c=19
2. k=-2
Step-by-step explanation:
1.
We can set up an equation where all the labeled sides add up to 53, and then find x:
(2x-15)+(x+1)+(3x-29)=53
6x-43=53
6x=96
x=16
Now that we know x, we can plug it back in to the expressions of the triangles to find their side lengths:
a=2(16)-15=17
b=16+1=17
c=3(16)-29=19
2.
Reminder: the slope of a line is its change in y over its change in x. We can then set up an equation:
[tex]\frac{2-k}{k-(-3)}=4\\\frac{2-k}{k+3}=4\\2-k=4k+12\\5k=-10\\k=-2[/tex]