Answer:
x=1, y = -3
Step-by-step explanation:
2x -y=-11
6x + y = 3
Add the two equations together
2x -y=-11
6x + y = 3
--------------------
8x = 8
Divide by 8
8x/8 = 8/8
x= 1
Now find y
6x+y = 3
6(1) +y = 3
6+y =3
Subtract 6 from each side
6+y-6 = 3-6
y = -3
1. Julie went to the store to buy a pair of pants. The pants
are
normally $39.95. This week they are on sale for 25%
off the
regular price. What is the sale price?
2. During Little League baseball, the Tigers and the Cubs
finished the season atop the division. The Tigers won
11 games and lost 4. Because of a couple of rainouts,
the Cubs won 10 games and lost 3. Find percent of the
games both teams won.
3. The price of a stock was $52.63 when the stock market
opened. It rose to $61.50 when the stock market
closed. Find the percent of increase of the stock price
during the day.
4. In Kendra's school, 28 percent of seven graders went
to a movie theater over the weekend. If there are 800
students in the seventh grade, how many of them saw
a movie?
Answer:
Step-by-step explanation:
1) Let x represent the sale price.
normal price = $39.95. This week they are on sale for 25% off the regular price. The amount taken off is
25/100 × 39.95 = 9.9875
Sale price = 39.95 - 9.9875 = $29.9625
2) number of games played by the tigers is 11 + 4 = 15
Percentage of games won is
11/15 × 100 = 73.3%
number of games played by the cubs is 10 + 3 = 13
Percentage of games won is
10/13 × 100 = 76.9%
3) increase in stock price = 61.5 - 52.63 = $8.87
Percentage increase = 8.87/52.63 × 100 = 16.85%
4) if 28 percent of seven graders went
to a movie theater over the weekend and there are 800 students in the seventh grade, then the number of seven graders that saw
the movie is
28/100 × 800 = 224
What are the slope and y-intercept of the line represented by
the points shown in the table?
Answer:
To find the y-intercept, graph the points, and draw a line that passes through them. the place that it passes the y-axis is the y-intercept. To find the slope, find two points on the line. Take the increase in the y-coordinate and divide it by the increase in the x-coordinate.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The reciprocal of two less than a certain number is twice the reciprocal of the number itself. What is the number?
Answer:
Number is 4
Step-by-step explanation:
Given: reciprocal of two less than a certain number is twice the reciprocal of the number itself
To find: The number
Solution:
Let the number be x
Reciprocal of two less than a certain number = [tex]\frac{1}{x-2}[/tex]
Reciprocal of the number itself = [tex]\frac{1}{x}[/tex]
According to question,
[tex]\frac{1}{x-2}=\frac{2}{x}\\x=2(x-2)\\x=2x-4\\2x-x=4\\x=4[/tex]
So, number is 4
20 boxes of apples have been delivered to a restaurant. The number of apples in each box is counted. Complete the table below and answer the following question. What is the mean number of apples in a box?
Answer:
30 apples
Step-by-step explanation:
600 is the total number of apples (adding all numbers in the apples*frequency column). Dividing this by 20, the number of boxes, we get 30 apples as the mean number in a box.
The mean number of apples is the result of dividing the product of frequency and number of apples and f in the table given. Hence, the mean number of apples is 30
The sum of frequency = (2 + 4 + 8 + 4 + 2) = 20
The sum of fx = (56 + 116 + 240 + 124 + 64) = 600
The mean number of apples can be calculated using the values obtained thus :
Mean = fx ÷ f
Mean = 600 ÷ 20
Mean = 30
Therefore, the mean number of apples in a box is 30
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the simple interest on $400 at 5% per annum for 2 years is?
a) 400*5*2/100
b) 400*5/2*100
c) 400*2/5*100
d) 400*100/2*5
Answer:
[tex] \frac{400 \times 5 \times 2}{100} [/tex]
Answer A is correct
Step-by-step explanation:
[tex]p = 400 \\ r = 5\% \\ t = 2 \: \: years[/tex]
Now let's find the simple interest.
[tex] \frac{prt}{100 } \\ = \frac{40 0 \times 5 \times 2}{100} \\ = 40[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Answer:
It's a).
Step-by-step explanation:
I = PRT/100
- where I = the interest , P = initial amount, R = annual rate and T is the time in years.
So the answer is (400*5*2) / 100.
2x3y + 8xy − 4x2y − 16y how to I rewrite by taking out the GCF?
Answer the question in the file, please.
Answer:
The answer is 41/25000
Step-by-step explanation:
P(A)=41/100
P(B)=1/10
P(AB)=1/25
P(A,B and AB)=41/100 * 1/10 * 1/25
=41/25000
If p | q, which of the following statements is true for the given figure?
Answer:
The answer is D.
Step-by-step explanation:
Angle 1 and 2 are equivalent to the measure of angles 3+4. We know this because both sides on the middle line form a 90 degree angle
I hope this helps :)
Write an inequality that compares-6, 3, and 5
Is that 6 or negative 6? I'll do both situations, as I can't tell (sorry!)
With negative 6:
-6 < 3 < 5
With positive 6:
3 < 5 < 6
Please help! Correct answer only please! I need to finish this assignment by today.
On a residential single lane road there was a wreck that backed up traffic for 4 miles. 70% of the traffic consists of cars and 30% of the traffic consists of trucks. the average distance between vehicles is 3 feet. the average length of a car is 13.5 feet and the average length of a truck is 20 feet. estimate how many vehicles are stuck in the traffic jam.
(hint: there are 5280 feet in 1 mile)
A) 276
B) 896
C) 1172
D) 1412
Answer: 1412 vehicles.
Step-by-step explanation: I calculated my answers and I approximately got this anwse so... Hope it helps.
Jana has a number cube numbered 1 to 6. She plans to roll the cube 78 times. Predict the number of times Jana will roll a 2
Answer:
13 times
Step-by-step explanation:
78 divided by six
(could be wrong)
select the number closest in value to 19.7/0.0485
A. 4
B. 40
C. 400
D. 4000
Answer:
[tex]C.[/tex] [tex]400[/tex]
Step-by-step explanation:
[tex]19.7/0.0485[/tex]
[tex]=406.18556701030927835051546391752577319587628865979381443298969[/tex]
The number closest in value to 19.7/0.0485 is 400.
The correct option is C.
What is fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given:
We have the expression,
19.7/0.0485 = 406.1855
From the options,
400 is closest to 406.1855.
Therefore, 400 is closest to 406.1855.
To learn more about the fractions;
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..........................................
Answer:
.........................................
Step-by-step explanation:
.........................................
In calculating the monthly payment for a five-year loan, what value should be used for n, the number of periods over which the loan is repaid, as it appears in the following formula? P = P V times StartFraction i over 1 minus (1 + i) superscript negative n EndFraction
a.5
b.12
c.60
d.120
The answer is C,60
Answer:
C
Step-by-step explanation:
EDGE2021
The value should be used for n, the number of periods over which the loan is repaid in 60 periods.
What formula is used to calculate the monthly payment?The value of the monthly payment is given by;
P = PV × i / 1-(1+i)⁻ⁿ
Where,
PV is the present value or the amount of the loan.
i is the interest rate per period and is calculated by dividing the yearly percent rate by 100 and by the number of periods in a year.
n is the total number of periods and is calculated as the product of the number of periods in a year times the number of years.
Therefore,
The value should be used for n, the number of periods over which the loan is repaid;
n = 6 years × 12 months/year = 60 months = 60 periods.
Hence, The value should be used for n, the number of periods over which the loan is repaid in 60 periods.
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If Marla's garden is 5 feet
long and 3 feet wide,
what is the area of her
garden?
Answer:
15
Step-by-step explanation:
the formula for area is l×w=a so when you multiply the length with the width, you get 15.
Answer:
15 feet
Step-by-step explanation:
Since you are finding the AREA, you always have to multiply length by width. So, 5 ft x 3 ft= 15 ft
Will give brainliest answer What is the value of a21? A.36 B. 58 C.60 D. 41
Answer:
41
Step-by-step explanation:
Matrix Multiplication follows a row-column format. In order to compute this, you must be familiar with vector dot products.
With that in mind, lets get straight into it.
The order that matrix multiplication follows means that the terms in the result are filled in left to right, then top to bottom.
Therefore, a21 will be the 3 value that is computed. This is important becuase this allows to directly compute a21, instead of using up a lot of time computing all the values before.
As a21 is located in the bottom row 1st column, we take the dot product of the 2nd row in matrix 1 and the 1 column in matrix two.
So we have:
(7 2) dot (5 3) = 7*5 + 2*3 = 41
find the value of x part 2
Answer:
x= -10
Step-by-step explanation:
Please see attached picture for full solution.
Somone I need help with this? Number 7
Answer:
Shape
Step-by-step explanation:
Shape because if you make the boat the right shape, it has a better chance of floating.
Mrs. Thomas has $71.00 to purchase bottles of juice for her class. If the bottles of juice cost $3.55 each, how many bottles can she buy? 2 bottles 5 bottles 20 bottles 25 bottles
Mrs. Thomas has $71.00 to purchase bottles of juice for her class. If the bottles of juice cost $3.55 each, how many bottles can she buy?
2 bottles
5 bottles
20 bottles
25 bottle
the is c 20 bottles
Two sides of an obtuse triangle measure 10 inches and 15 inches. The length of longest side is unknown. What is the smallest possible whole-number length of the unknown side? 18 inches 19 inches 24 inches 25 inches
Answer:
19 inches is the correct answer.
Step-by-step explanation:
Side 1 = 10 inches
Side 2 = 15 inches
It is given that it is an obtuse angle triangle i.e. the largest angle of the triangle is more than [tex]90^\circ[/tex].
Let us suppose, that the triangle be a right angle triangle, then the largest angle will be [tex]90^\circ[/tex]. The largest side is known as Hypotenuse.
As per pythagoras theorem:
[tex]Hypotenuse^{2} = Base^{2} + Height^{2}[/tex]
[tex]\Rightarrow 10^{2} + 15^{2} = Hypotenuse^2\\\Rightarrow 325 = Hypotenuse^2\\\Rightarrow Hypotenuse = 18.04\ inches[/tex]
So, largest side comes out be 18.04 inches.
But actually, the largest angle is more than [tex]90^\circ[/tex] so the largest side will also be greater than 18.04 inches.
Hence, the answer is:
Smallest possible whole number length of unknown side will be 19 inches.
Answer:
I did the test and thecorrect option was 18.
Please answer correctly !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
11.5 years old
Step-by-step explanation:
Let's call Michael's current age m, and Brandon's current age b.
m=3b
m-18=9(b-9)
Substituting:
3b-18=9(b-9)
3b-18=9b-81
6b=63
b=11.5
Hope this helps!
A company makes concrete bricks shaped like rectangular prisms. Each brick is 10 centimeters long, 6 centimeters wide, and 4 centimeters cm tall. If they used 13,000cm³ of concrete, how many bricks did they make?
Answer: 54 bricks
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a rectangular prism (V) : length x width x height
Replacing with the values given and solving for v (Volume)
V = 10 x 6 x 4
V = 240 cm3 (volume of one brick)
Finally, we have to divide the amount of concrete used by the volume of each brick:
13,000cm³ /240 cm3 = 54.16 = 54 bricks
Feel free to ask for more if needed or if you did not understand something
The formula for the circumference of a circle is C = 2r, where r is the radius and C is the circumference. The equation solved for r is r = r equals StartFraction C Over 2 pi EndFraction..
Find the radius of a circle that has a circumference of 16.
r = 4
r = 8
r = 12
r = 16
Answer:
r=8
Step-by-step explanation:
Because 16 divided by 2 is 8
The radius of a circle has a circumference of 16 at r = 8.
What is the radius of a circle?Given: the formula for the circumference of a circle is C = 2r, where r is the radius and C is the circumference.
The circumference of a circle is equal to π.
π ≈ 3.14
multiplied by the diameter of the circle.
Therefore, the diameter has twice the length of the radius.
In equation form:
2r = d.
2r = 16.
r = 8.
Note, 2r = d,
Then, the equation C = 2πr holds and can be used in place of C = πd.
The radius of a circle has a circumference of 16 at r = 8.
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The formula for density is given by p equals StartFraction M Over V EndFraction, where p is density, M is mass and V is volume. If a substance has a mass of 27.82 grams and a volume of 3.6 ml, what is the most accurate density of the substance in g/ml?
Answer:
B
Step-by-step explanation:
Please help asap! giving brainliest!!! The box plots show the average wind speeds, in miles per hour, for various cities in two different countries. Average Wind Speeds of Cities in Country A 2 box plots. The number line goes from 1 to 11. For the average wind speeds of cities in country A, the whiskers range from 1 to 9.5, and the box ranges from 3 to 7. A line divides the box at 4. For the average wind speeds of cities in country B, the whiskers range from 1.2 to 11, and the box ranges from 4 to 9. A line divides the box at 6. Average Wind Speeds of Cities in Country B Which statement compares the median wind speeds for the data in the two box plots? The median wind speed for country A is greater than the median wind speed for country B. The median wind speed for country B is greater than the median wind speed for country A. The median wind speed for country A is about 7 miles per hour, and the median wind speed for country B is about 9 miles per hour. The median wind speed for each country is about 4 miles per hour.
Answer:
Hello There. The correct option is
b.) The data in country B are more symmetric than the data in country A.
Step-by-step explanation:
The statements describes the symmetry of the data in the two box plots
a.) The data in country A are more symmetric than the data in country B.
b.) The data in country B are more symmetric than the data in country A.
c.) The data in both countries have about the same symmetry.
d.) The symmetry of the data cannot be determined by looking at the box.
Hope It Helps!
Step-by-step explanation:
The correct statement about the median will be the following which is calculated from average wind speeds as:
The median wind speed for country B is greater than the median wind speed for country A.The median wind speed for A is about 7 miles.The median wind speed for B is about 9 miles.What is median?
It is the center most number of the data available to us which divides the data in 2 equal parts.
How to calculate median?
We have been given the average wind speeds of two countries.
Median of country A =(1+9.5)/2 th term in the box
=5.25th term in the box which is 7.
Median of country B=(1.2+11)/2
=6.1 th term which is 9.
Hence median of country B is greater than median of country A and value of median A is 7 and of B is 9.
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Square root of 0.925
Answer:
0.9617
Step-by-step explanation:
√0.925
= 0.9617
Answer:
the answer is 0.96176920308
Step-by-step explanation:
do you need working hope it helps I would have answered first but I wanted to ask whether you needed workings.
Find the surface area of the composite figure. Round the answer to the nearest tenth.
3 cm
4 cm
5 cm
11 cm
The surface area of the figure is
cm
Lisa has a gym membership at Lifetime Fitness. It costs $29.95 to join and she also pays a monthly charge. Lisa has been a member for 11 months. She has paid a total of $298.90 for her membership. Write an equation that could be used to find, m, the monthly membership fee.
What is the monthly membership fee?
Answer:
298.90 - 29.95 = (ANSWER) divide it by 11 then you will have the monthly cost
Step-by-step explanation:
Answer:
monthly paid= 24.45
Step-by-step explanation:
if we take membership join fee=x=29.95
and the monthly fee=m
so the equation will be
11 m + x =298.90
so by substitute x
m=24.45 $/month
The length of a rectangle if the length is twice the size of the width increased by one
Answer:
I'm not confident on this but:
L = 2(W + 1)
Hopefully this might help somewhat :]
L: Length
W: Width
The parallelogram shown below has an area of 30 units2
Answer:
6
Step-by-step explanation:
The formula for the area of a parallelogram is the base times height.
We know the base is 5, and the area is 30, so:
5x=30
x= 6
So the height is 6
Answer:
The area of a parallelogram is A= bh so since the base is 5, the height is 6
6 x 5 = 30^2
Step-by-step explanation:
