Answer:
-no solution-
Step-by-step explanation:
Let's solve your system by elimination.
−6x+2y=−14;−9x+3y=−21
Multiply the first equation by 3,and multiply the second equation by -2.
3(−6x+2y=−14)
−2(−9x+3y=−21)
Becomes:
−18x+6y=−42
18x−6y=42
Add these equations to eliminate y:
0=0
Answer:
Infinitely many solutions.
Let's solve your system by substitution.
−6x+2y=−14;−9x+3y=−21
Step: Solve−6x+2y=−14for x:
−6x+2y=−14
−6x+2y+−2y=−14+−2y(Add -2y to both sides)
−6x=−2y−14
−6x
−6
=
−2y−14
−6
(Divide both sides by -6)
x=
1
3
y+
7
3
Step: Substitute
1
3
y+
7
3
forxin−9x+3y=−21:
−9x+3y=−21
−9(
1
3
y+
7
3
)+3y=−21
−21=−21(Simplify both sides of the equation)
−21+21=−21+21(Add 21 to both sides)
0=0
Answer:
Infinitely many solutions.
If you divide first equation by two and the second by three they are both the same line so there are infinitely many solutions.
A resort hotel offers two weekend specials.
Plan A : 3 nights with 6 meals for $264
Plan B :3 nights with 2 meals for $218
these rates, what is the cost of
one night's
lodging and what is the average cost per meal?
assume there's no discount for 6 years.) help
Answer:
$44 per 1 meal
Step-by-step explanation:
Claire created a pie chart to show how she spent her time on Monday. She spent 8 hours at school, 4 hours playing basketball, 2 hours doing homework, 8 hours sleeping, and 2 hours doing chores. Which statements describe how the pie chart will look? Select four options..
The pie chart will show that Claire spent about 33.3% of her time sleeping.
The pie chart will have five sections.
The pie chart will contain one section that represents 50% of her time.
Twenty-four hours will be equivalent to 100% in the pie chart.
The pie chart will have two sections that are each equal to one-third of the pie chart.
Answer:
Step-by-step explanation:
The pie chart will show that Claire spent about 33.3% of her time sleeping.
Pie chart will show that Claire spent about 33.3% of her time sleeping, The pie chart will have five sections, Twenty-four hours will be equivalent to 100% in the pie chart.
What is pie chart?The "pie chart," which divides the circular statistical graphic into sectors or sections to illustrate the numerical problems, is also known as a "circle chart." A proportionate portion of the total is denoted by each sector. At that point, the pie chart is the most effective method for determining something's composition.
Given 24 hours schedule of Clair in which,
school time is 8 hours, playing time is 4 hours, homework time is 2 hours, sleeping time is 8 hours and chores time is 2 hours.
if we calculate total time in percentage than 24 hours will be equal to 100%
and their will be 5 sections in chart,
equivalent time for school in percent is 100/24 x 8 =33.33%
equivalent time for sleeping in percent is 100/24 x 8 =33.33%
equivalent time for homework in percent is 100/24 x 2 = 8.33%
equivalent time for chores in percent is 100/24 x 2 = 8.33%
equivalent time for playing in percent is 100/24 x 4 = 16.66%
Hence the pie chart will have 5 sections and sleeping time will be 33.33%.
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Wilbert needs a student loan to finish school. He needs $4200 and has two options.
Option A: 4 years at 4.5% interest with monthly payments of $95.77 and total payback of $4,596.96
Option B: 3 years at 4.7% interest with monthly payments of $125.31 and total payback of $4, 511.16
Which loan should Wilbert choose and how much will Wilbert save with that loan?
Answer:
85.8
Step-by-step explains
4596.96-4200=396.96
4511.16--4200=
396.96-311.16=85.8
so 85.8 and b
The denominator of a fraction is two more than twice the numerator. If both numerator and denominator are decreased by three, the simplified result is 13
. Find the original fraction. (Do NOT simplify.)
Answer:
26/2
Step-by-step explanation:
A Town plana to make a triangular park. The triangle has a base of 120 feet and a height of 115 feet. What will the area of the park be?
A. 13,800ft^2
B.27,600ft^2
C.6,900ft^2
D.6,612.5^2
Answer:
C. 6,900 ft^2
Step-by-step explanation:
Given the following data;
Base of triangle = 120 feet.
Height = 115 feet.
To find the area of triangle;
Area of triangle = ½*base*height
Area of triangle = ½*120*115
Area of triangle = 60*115
Area of triangle = 6900ft²
Therefore, the area of the park is 6900 square feet.
Forty families gathered for a fund-raising event. Suppose the individual contribution for each family is normally distributed with a mean and a standard deviation of $120 and $24, respectively. The organizers would call this event a success if the total contributions exceed $5,200. What is the probability that this fund-raising event is a success?
Answer:
3.51% probability that this fund-raising event is a success
Step-by-step explanation:
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
A carpenter charges $630 for 14 hours of work. She charges the same
amount of money for each hour of work.
Which table shows the relationship between the amount of time the
carpenter works and the amount of money she charges?
the graph would go up 45$ per hour of work if she is charging a per hour rate
Step-by-step explanation:
becouse she charges 630$ per 14 hours you would do 630÷14 which =45$
the 45 represents the hourly rate
the graph should spike every hour mark.
Use the distributive property to write an equivalent expression for 28+14y (find the greatest common factor)
BE is parallel to CD.
AE=6 cm, ED=4 cm, AB=4.5 cm, BE=4.8 cm.
Calculate the length of CD.
Answer:
CD = 8 cm
Step-by-step explanation:
Given
See attachment
[tex]AE=6 cm,\ ED=4 cm,\ AB=4.5 cm,\ BE=4.8 cm.[/tex]
Required
Find CD
To calculate CD, we first calculate BC using the following equivalent ratio
[tex]AB : BC = AE:ED[/tex]
Substitute values for AB, AE and ED
[tex]4.5 : BC = 6 : 4[/tex]
Express as fraction
[tex]\frac{4.5 }{ BC} = \frac{6 }{ 4}[/tex]
Cross Multiply
[tex]BC * 6 = 4.5 * 4[/tex]
[tex]BC * 6 = 18[/tex]
Divide through by 6
[tex]BC = 3[/tex]
To calculate CD,
We make use of the following equivalent ratio
[tex]AB : BE = AC : CD[/tex]
Where
[tex]AC = AB + BC[/tex]
[tex]AC = 4.5 + 3[/tex]
[tex]AC = 7.5[/tex]
So, we have:
[tex]AB : BE = AC : CD[/tex]
[tex]4.5 : 4.8 = 7.5 : CD[/tex]
Express as fraction
[tex]\frac{4.5 }{ 4.8 }= \frac{7.5 }{ CD}[/tex]
Cross Multiply
[tex]4.5 * CD = 7.5 * 4.8[/tex]
Divide through by 4.5
[tex]CD = \frac{7.5 * 4.8}{4.5}[/tex]
[tex]CD = \frac{36}{4.5}[/tex]
[tex]CD = 8[/tex]
Jake paid $13.50 for admission to the county fair and bought 9 tickets to play games. If he spent a total of $36, what is the cost, x, of one ticket? Write an equation to represent the cost of a ticket, x.
Answer:
The cost of one ticket would be $2.5, the equation I believe is 9x + 13.50 = 36.
Step-by-step explanation:
I hope this helps.
What is the common denominator of 3/4 and5/8
Answer:
the common demonator is 8.
Step-by-step explanation:
Write the equation of the line in slope intercept form that: has a slope of m=1/2 and goes through the point (2, -3) please help.
Answer:
[tex]y =\frac{1}{2}x -4[/tex]
Step-by-step explanation:
m = (1/2) ; (2 , -3)
y -y1 = m(x - x1)
[tex]y - [-3] = \frac{1}{2}(x - 2)\\\\y + 3 = \frac{1}{2}x - 2 *\frac{1}{2}\\\\y + 3 = \frac{1}{2}x -1\\\\y = \frac{1}{2}x - 1 - 3\\y =\frac{1}{2}x -4[/tex]
a cell phone and phone case cost 110$ in total. the cell phone costs 100$ more than the phone case. How much was the cell phone?
Answer:
$100
Step-by-step explanation:
We know that the total cost was $110 and that the phone is $100 more than the case. With this, we can figure out how much the case is, and use that information to find the price of the phone.
Case price = total price - 100
= 110 - 100
Case price = 10
Now that we know that the case price is $10, we can figure out the phone's price.
Phone price = total price - case price
= 110 - 10
= 100
The phone costs $100
On a recent utility bill, the water/sewer/garbage portion of the bill was $91.22. This consisted of 74%
of the total bill. To the nearest cent, what was the total amount of the utility bill?
The total amount of the utility bill is $
Answer:
74%->91.22
100%-> 123.27(estimated)
The total amount of the utility bill will be $123.2.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that on a recent utility bill, the water/sewer/garbage portion of the bill was $91.22. This consisted of 74% of the total bill.
The total amount will be calculated as below:-
74% ⇒ $91.22
1% ⇒ 91.22 / 74
100% ⇒ ( 91.22 x 100 ) / 74
100% ⇒ $123.27
Therefore, the total amount of the utility bill will be $123.2.
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In ΔQRS, r = 5.1 inches, s = 2.4 inches and ∠Q=26°. Find the length of q, to the nearest 10th of an inch.
Answer:
The length of QR to the nearest tenth of a foot is 287.28 feet.
Step-by-step explanation:
Let a right angled Triangle QRS have base SQ, perpendicular RS and Hypotenuse QR.
∠S = 90°
∠Q = 17°
Perpendicular = 84 ft
We know that for a right angle triangle
SinΘ = perpendicular/Hypotenuse
Sin ∠Q = 84/QR
QR = 84/sin(17°)
QR = 84/0.2924
QR = 287.2777
QR = 287.28 feet
The cosine rule is used to determine the length of side q. Then the length of side q is 5.34 inches.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a triangle.
In ΔQRS, r = 5.1 inches, s = 2.4 inches and ∠Q=26°.
Then the length of q will be given by the cosine rule.
[tex]\rm q = \sqrt{r^2 + s^2 - 2rs \cos Q}\\\\q = \sqrt{5.1^2 + 2.4^2 - 2 \times 5.1 \times 2.4 \cos 26^o}\\\\q = \sqrt{26.01 + 5.76 - 24.48 \times 0.89879}\\\\q = \sqrt{50.49 - 22}\\\\q = \sqrt{28.49}\\\\q = 5.34 \ inches[/tex]
The length of the q is 5.34 inches.
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Find the slope of a line that contains (-4, 7) and (-9, -2)
A certain plane flies at a speed of 600 miles
per hour. If it requires 4 hours at this rate of
speed to make the trip from Kiska to Tokyo,
what is the distance?
Answer:
2,400 miles
Step-by-step explanation:
Distance = Speed x Time
Distance = 600 miles / hour x 4 hours
Distance = 2,400 miles
If you are looking for speed, use distance over time and if time, distance divided by speed.
Jason customizes and sells water bottles. He must sell each water bottle for more than $15 to make a profit.Which number line represents all the possible prices for which Jason could sell a water bottle and make profit?
A granular substance such as sand naturally settles into a cone-shaped pile when poured from a small aperture. Its height depends on the humidity and adhesion between granules. The angle of elevation of a pile, θ, is called the angle of repose. If the height of a pile of sand is 15 feet and its diameter is approximately 52 feet, determine the angle of repose. Round answer to nearest degree.
Answer:
The angle of elevation of the pile is 30°
Step-by-step explanation:
Given that;
Height = 15 ft
Diameter = 52 ft
so radius r = D/2 = 52/2 = 26 ft
Now, to get the angle of elevation.
given the details in the question,
we can say; the given height is the opposite which is 15 ft.
Also the radius is adjacent which is 26 ft
using SOH CAH TOA
TOA; Tan = Opposite / Adjacent
so
tan∅ = 15 ft / 26 ft
tan∅ = 0.5769
∅ = tan⁻¹( 0.5769 )
∅ = 29.98° ≈ 30°
Therefore, The angle of elevation of the pile is 30°
Need help with other math who’s gonna help me brainlest and points
Find the distance between the points L(7, -1) and MC – 2, 4).
Answer:
The distance between the points
d = LM = 10.24
Step-by-step explanation:
Step(i):-
Given that the points are L ( 7,-1) and M (-2,4)
The distance formula
LM = [tex]\sqrt{(x_{2} -x_{1})^{2} +(y_{2} -y_{1} )^{2} }[/tex]
Step(ii):-
[tex]LM= \sqrt{(-2-7)^{2} +(4-(-1) )^{2} }[/tex]
LM = [tex]\sqrt{(-9)^{2} +(5)^{2} }[/tex]
LM = √106
LM = 10.29
The distance between the points
d = LM = 10.24
A car loses a quarter of its value every year. It is originally woth $35,000. To the nearest dollar, how much will the car be worth in eight years?
a
$3,504
b
$5,872
c
$26, 250
d
$34, 998
Hello! Your answer would be B, 3,504
Explanation:
So it states that a car loses a quarter of its value every year and it ask us to find in 9 years, A quarter is actually 25%, so we would have to divide 35,000 with 25 to find the first year.
Final Result: B
Can someone help me with this geometry question????
3.865in^2
It's (the area of the square minus the area of the circle) divided by 2.
So, Area of the square is 6x6=36
Area of the circle is (pi)*(radius=3)^2=28.27
36-28.27=7.73
7.73/2=3.865in^2
A service station checks Mr. Smith's radiator and finds it contains only 40% antifreeze. If the radiator holds 20 quarts and is full, how many quarts must be replaced with pure antifreeze in order to bring it up to a required 80% antifreeze?
Answer:
8 quarts
Step-by-step explanation:
Step One: Figure out how much 40% is by making an equation:
Since we are looking for a percentage, we use cross multiplication to find X.
[tex]\frac{x}{20} = \frac{40}{100}[/tex]
Step Two: multiply 20 by 40 to start cross multiplying:
20 times 40 is 800, so replace the 40 by 800 in the equation.
[tex]\frac{x}{20} = \frac{800}{100}[/tex]
Step Three: divide 800 by 100, and we will have X:
800/100=8
X=8 aka 8 quarts
I hope this helps!
pls give thx and brainliest :D
1.
Here is a diagram that Jada drew about the weight of her puppy.
Access
connect
Not recor
9
9
9
9
9
20%
a.
The adult weight of the puppy will be 45 pounds. How can you see that
in the diagram?
b.
What fraction of its adult weight is the puppy now? How can you see
that in the diagram?
2. Jada's friend has a dog that weighs 90 pounds. Here is a diagram Jada
drew that represents the weight of her friend's dog and the weight of her
so
Answer:
Step-by-step explanation:
a). Since, 20% of the total diagram is represented by one fifth part of the total length.
Therefore, by adding all parts we will get 100% weight of the adult puppy.
20% of the part = 9 pounds
So the total weight of the adult puppy = 9 + 9 + 9 + 9 + 9
= 45 pounds
b). Weight of the puppy = 9 pounds
Weight of a adult = 45 pounds
Therefore, fraction that represents the weight of the puppy as compared to the weight of an adult = [tex]\frac{9}{45}[/tex]
= [tex]\frac{1}{5}[/tex]
Answer:
Question 1 Answer: The adult weight will be 45 pounds.
Question 2 Answer: The puppy is ⅕ of its adult weight.
Step-by-step explanation:
Q1- Why is the answer: because there are 5 9's and 5 ⋅ 9 = 45.
Q2-why is the answer : because the whole is divided into 5 pieces of equal length.
Hope this helps!
This probability distribution shows the typical grade distribution for a Geometry course with 35 students. HELLLPPP PLSSS
Answer:
P(A, B or C) = 6/7 or 0.8571
Step-by-step explanation:
From the image, we have the frequency for each grade as;
Grade A = 5
Grade B = 10
Grade C = 15
Grade D = 3
Grade F = 2
We want to find the probability that a student earns a grade of A, B or C.
Total frequency for A, B & C = 5 + 10 + 15 = 30
There are a total of 35 students overall for the geometry course.
Thus;
P(A, B or C) = 30/35
P(A, B or C) = 6/7 or 0.8571
Answer:
0.86Step-by-step explanation:
Total frequency for A, B & C = 5 + 10 + 15 = 30
There are a total of 35 students overall for the geometry course.
P(A, B or C) = 30/35
P(A, B or C) = 6/7 or 0.8571
now we round to the hundredths place
0.8571 ⇒ 0.86
Solve for x.
1.8x = 64
I need this by 9p.m tonight having a bit problem solving it can anyone help pls
Answer:
35.56 (rounded to nearest hundredth)
Step-by-step explanation:
1.8x = 64
x= 64/1.8
x = 35.56
Everyday Erin’s Orange stand uses 1 3/8 bags of oranges for how many days will 5 1/2 bags of oranges last
Answer:
0.0625 Days
Step-by-step explanation:
For 1 day Erin uses 1 3/8
1 day consumption is 11/8
11/2 bags of oranges would take
11/2 divided by 11/8
solve 5(x-1)^1/3 = 20
Answer:
x = 65
Step-by-step explanation:
To solve the equation, we write it in radical form:
[tex]5\, \sqrt[3]{x-1} = 20[/tex]
Then, we divide both sides by 5 to isolate the root:
[tex]\sqrt[3]{x-1} = \frac{20}{5} \\\sqrt[3]{x-1} =4[/tex]
and next, we raise both sides of the equation to the power 3 so as to free the expression in x from the root:
[tex]x-1=4^3\\x-1=64[/tex]
now we add 1 to both sides to isolate x:
x = 65
help HELP HELPPPPPPP PLSSSSSSSSSS
Answer:
there are 6 more girls than boys
Step-by-step explanation:
i hope this is right good luck!:)