Answer:
No
Step-by-step explanation:
Say the price of 1 apple is x and the price of 1 orange is y. Then, we can write the two equations:
4x + 4y = 10
6x + 6y = 15
We can try to solve this by elimination, which means getting rid of one variable so that we're left with only 1 variable to solve for. Multiply the top equation by 3 and the bottom equation by 2:
3 * (4x + 4y) = 10 * 3 ⇒ 12x + 12y = 30
2 * (6x + 6y) = 15 * 2 ⇒ 12x + 12y = 30
Subtract the bottom equation from the top:
12x + 12y = 30
- 12x + 12y = 30
______________
0 + 0 = 0
Since we result in 0 = 0, that means any values of x and y we put into the equations will work, so we cannot find a unique price.
Hope this helps!
Answer:
No
Step-by-step explanation:
4A + 4O = 10
6A + 6O = 15
The second equation is just a multiple of the first one, so we don't have two distinct equations to solve for the prices
How is multiplying exponents (x² ⋅ x⁴) different from raising a power to a power ((x²)⁴)?
Answer:
When you are "multiplying" exponents, you're really just adding them together. So in the case of (x² ⋅ x⁴), you add the exponents:
2 + 4 = 6
[tex]x^{6}[/tex] would be the answer.
On the other hand, raising a power to a power, is actually multiplying them. So it would just be:
2 ⋅ 4 = 8
[tex]x^{8}[/tex] would be the answer.
If you bought a cookie for 80¢ and paid for it with a 5 dollar bill, how much change would you receive?
Answer:
4 dollars and 20 cents
Step-by-step explanation:
5.00-.80=4.20
Answer:
$4.20
Step-by-step explanation:
What you bought will be subtracted from how much you paid with.
amount paid - amount bought
We paid for the cookie with $5, and bought something for 80 cents.
$5 is equal to 5.00, and 80 cents is equal to 0.8
5.00-0.8=4.2
So, you would get $4.20 back in change
14 is what percent of 25?
Answer:
56%
Step-by-step explanation:
U reported me and the answer got deleted so
14:25*100 =
( 14*100):25 =
1400:25 = 56
here's your step by step explanation
and pls mark me brainliest
bye
Answer:
56%
Step-by-step explanation:
Is means equals and of means multiply. Let P be the percent
14 = P * 25
Divide each side by 25
14/25 = 25P/25
.56 = P
Change to percent form
56% =P
Melissa has a student dictionary on her desk. Her dictionary contains 90 pages. In this dictionary, more words start with the letter "S" than any other letter, occupying 14 full pages. If she opens up the dictionary at random, what is the probability that the page contains words starting with "S"?
Answer:
probability that the page opened will start with S
Step-by-step explanation:
14/90
0.15556
what is a diagonal matrix
Answer:
, a diagonal matrix is a matrix in which the entries outside the main diagonal are all zero
Step-by-step explanation:
Need answer urgently please will give thanks and mark Brainliest
Answer:
D
Step-by-step explanation:
sqrt(7) = about 2.6
and that divided by 2 is
0.8 which means D is the Answer
The parabola y=x^2 is reflected across the x-axis and then scaled vertically by the factor of 1/8. What is the equation of the new parabola?
Answer:
y = (-1/8)x^2
Step-by-step explanation:
Start with y = x^2. When the original parabola has been reflected across the x-axis, the pertinent equation becomes y = -x^2.
Now if this is scaled vertically by a factor of 1/8, we get:
y = (-1/8)x^2
Finding the Area of a Regular Polygon
The apothem of a regular hexagon measures
8 cm.
Which are true of the regular hexagon? Check all that
apply.
The perimeter of the hexagon is 48 cm.
The measure of the angle formed by the radius and
the apothem is 30°.
The side length of the hexagon is about 4.6 cm.
In a regular hexagon, the radius and side length are
equal in length.
The area of the hexagon is about 221.7 square cm.
8 cm
Intro
Done
Answer:
B, D and E.
just trust me
The angle made by the apothem and the radius would be; 30 degrees. Then the correct option is B.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
The apothem of a regular hexagon = 8 cm.
Then the side length of the hexagon will be
[tex]\rm x = \dfrac{8}{\sin 60^o}= 9.24\ cm[/tex]
The perimeter of the hexagon;
Perimeter = 6 × 9.24 = 55.43 cm
The area of the hexagon;
Area = 0.5 × 8 × 9.24 = 36.95 cm².
The angle made by the apothem and the radius = 30 degrees.
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A coffee business sells a pound of coffee for $ 9.75. Monthly expenses are $ 4,500 plus $ 4.25 for every pound of coffee sold. a. Write an IT function for total monthly income as a function of the number of pounds of coffee sold. b. Write a GT function for total monthly expenses as a function of the number of pounds of coffee sold. c. Write a function G for monthly profitability (profit) as a function of the number of pounds of coffee sold.
Answer:
a. IT = 9.75 * X
b. GT = 4500 + 4.25 * X
c. G = 9.75 * X - 4500 - 4.25 * X
Step-by-step explanation:
With the data of the statement we can get a function. Let X be the number of pounds sold.
to. Monthly income
IT = 9.75 * X
b. Monthly expenses
GT = 4500 + 4.25 * X
c. Monthly Earnings (Monthly Income - Monthly Expenses)
G = 9.75 * X - (4500 + 4.25 * X)
G = 9.75 * X - 4500 - 4.25 * X
a. The IT function should be = [tex]9.75 \times X[/tex]
b. The GT function is = [tex]4500 + 4.25 \times X[/tex]
c. The function G is = [tex]9.75 \times X - 4500 - 4.25 \times X[/tex]
Calculation of the functions:here we assume X be the number of pounds sold.
Since A coffee business should sell the coffee for $ 9.75. Monthly expenses are $ 4,500 along with $ 4.25 for each pound of coffee.
So,
a. The IT function is [tex]9.75 \times X[/tex]
b. The GT function should be [tex]4500 + 4.25 \times X[/tex]
c. The function G should be [tex]G = 9.75 \times X - (4500 + 4.25 \times X)[/tex]
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Solve the equation 3x = 2x + 5.
What can you do to isolate the variable on one side of the equation?
What is the solution?
Answer:
x = 5
Step-by-step explanation:
To solve this equation for x, subtract 2x from both sides, obtaining:
x = 5.
N office manager receives reports from employees via email. The probability model describes the number of emails the manager may receive in a day. Email Received 0 1 2 3 4 5 P(X) 0.05 0.15 0.35 0.25 0.15 0.05 How many emails would you expect the manager to receive each day?
Answer:
The correct answer is 2.45.
Step-by-step explanation:
Probability model of an office manager regarding reports from employees is given by:
X = 0; P(X) = 0.05
X = 1; P(X) = 0.15
X = 2; P(X) = 0.35
X = 3; P(X) = 0.25
X = 4; P(X) = 0.15
X = 5; P(X) = 0.05
Now expectation of number of emails that the manager would receive is given by X × P(X)
= 0 × 0.05 + 1 × 0.15 + 2 × 0.35 + 3 × 0.25 + 4 × 0.15 + 5 × 0.05
= 0 + 0.15 + 0.70 + 0.75 + 0.60 + 0.25
= 2.45
The correct answer is 2.45.
The calculation is as follows:
X = 0; P(X) = 0.05
X = 1; P(X) = 0.15
X = 2; P(X) = 0.35
X = 3; P(X) = 0.25
X = 4; P(X) = 0.15
X = 5; P(X) = 0.05
Now the number of emalis should be
= 0 × 0.05 + 1 × 0.15 + 2 × 0.35 + 3 × 0.25 + 4 × 0.15 + 5 × 0.05
= 0 + 0.15 + 0.70 + 0.75 + 0.60 + 0.25
= 2.45
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To save for a car when he turns 18, Pascale deposited $500 each year into a savings account with a 7.5% interest rate compounded annually. Year Beginning Balance Interest Earned Ending Balance 1 $500.00 $37.50 $537.50 2 $1,037.50 $77.81 $1,115.31 3 $1,615.31 $121.15 $1,736.46 4 $2,236.46 $167.73 $2,404.19 5 Using the formula A = P (1 + r) Superscript t, what is the value of the account at the end of the fifth year? $3,071.92 $3,122.00 $3,851.77 $4,140.65
The value of Pascale's savings account at the end of the fifth year, with a 7.5% interest rate compounded annually and an additional $500 deposited each year, is approximately $3,122.00.
Explanation:To calculate the value of Pascale's account at the end of the fifth year, we must use the compound interest formula which is A = P (1 + r)^t, where:
A is the amount of money accumulated after n years, including interest.P is the principal amount (the initial amount of money).r is the annual interest rate (decimal).t is the time the money is invested for in years.However, since Pascale deposits an additional $500 at the beginning of each year, the calculation is more complex than a single application of the formula. Our calculation should reflect the compound interest earned on each individual $500 deposit, not just the initial deposit.
Let's calculate the value at the end of year 5 step by step, adding $500 at the beginning of each year:
The balance at the beginning of year 5 is $2,404.19.Pascale deposits an additional $500 at the start of year 5, making the new starting balance $2,904.19.Now apply the compound interest formula for year 5: A = $2,904.19 * (1 + 0.075)^1 (since interest is compounded annually).This equals: A = $2,904.19 * 1.075 = $3,122.00 (approximately).Therefore, the value of the account at the end of the fifth year is approximately $3,122.00.
Find the center, vertices, and foci for the ellipse 25x^2 + 64y^2 = 1600
Answer:
The answer to your question is below
Step-by-step explanation:
Data
Equation 25x² + 64y² = 1600
Process
1.- Divide all the equation by 1600
25x²/1600 + 64y²/ 1600 = 1600/1600
-Simplify
x²/64 + y²/ 25 = 1
2.- Equation of a horizontal ellipse
[tex]\frac{x^{2} }{a^{2}} + \frac{y^{2}}{b^{2}} = 1[/tex]
3.- Find a, b and c
a² = 64 a = 8
b² = 25 b = 5
-Calculate c with the Pythagorean theorem
a² = b² + c²
-Solve for c
c² = a² - b²
-Substitution
c² = 8² - 5²
-Simplification
c² = 64 - 25
c² = 39
-Result
c = √13
4.- Find the center
C = (0, 0)
5.- Find the vertices
V1 = (-8, 0) V2 = (8, 0)
6.- Find the foci
F1 = (-√13, 0) F2 = (√13, 0)
The center of the ellipse is (0,0), the vertices are (5.657, 0) and (-5.657, 0), and the foci are (3.317, 0) and (-3.317, 0).
Explanation:The given equation of the ellipse is 25x^2 + 64y^2 = 1600.
To find the center of the ellipse, we can rewrite the equation in standard form: x^2/32 + y^2/25 = 1. The center is (0,0) since the x and y terms are squared and have the same coefficients.
To find the vertices of the ellipse, we can calculate the distance from the center to the major axis. The length of the major axis is 2*a, where a is the square root of the denominator of the x term. In this case, a = sqrt(32) ≈ 5.657. So the vertices are (5.657, 0) and (-5.657, 0).
To find the foci of the ellipse, we can calculate the distance from the center to the foci. The length of the foci is 2*c, where c is the square root of the difference between the squares of a and b (sqrt(32-25) ≈ 3.317). So the foci are (3.317, 0) and (-3.317, 0).
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In a deck of cards what's the probability of drawing a Face Card (king, queen, jack)
Answer:
3/13
Step-by-step explanation:
There are 52 card in a deck of cards
12 of them are face cards 3 cards *4 suits =12
P (face card) = 12/52 = 3/13
Answer:1/3 decimal form: 0.333 repeating percent: 3.33%
Haley scored 3, 13, 15, 16, and 19 on five homework assignments. Her scores were based on a perfect score of 20. Which measure would be the most accurate to use to measure Haley's overall grade?
A) mean
B) median
C) mode
D) range
Answer:
median
Step-by-step explanation:
Which of the following lines would be perpendicular to a line whose equation is y=1/2x-7 and pass through the point (-10,7)?
Answer:
The answer to your question is y = -2x - 13
Step-by-step explanation:
Data
Original line y = 1/2x - 7
Point = (-10, 7)
New line = ?
Process
1.- Find the slope of the original line
The slope is the coefficient of the x
y = 1/2x - 7
slope = 1/2
2.- Find the slope of the new line
The new line is perpendicular to the original line
slope = -2
3.- Find the equation of the new line
y - y1 = m(x - x1)
y - 7 = -2(x + 10)
-Simplification
y - 7 = -2x - 20
y = -2x - 20 + 7
y = -2x - 13
Answer: The equation is y = -2x - 13.
We compare the given line with y = mx + b.
So slope = m = [tex]\frac{1}{2}[/tex].
We know that the slope of the perpendicular line is negative reciprocal.
It means the slope of the required line will be -2.
Given point = (-10, 7).
So, using the point slope formula the equation of the line is:
[tex]y-7=-2(x+10)\\y-7=-2x-20\\y=-2x-13[/tex]
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find the size of angle XYZ
give your answer 1 decimal place
Answer:
23.6°
Step-by-step explanation:
The relevant trig relationship is ...
Sin = Opposite/Hypotenuse
This tells you ...
sin(Z) = XY/YZ = 6/15 = 2/5
The inverse sine (arcsine) function is used to find the angle when its sine is known.
Z = arcsin(2/5)
Z = 23.6°
To find the size of angle XYZ, we need additional information.
Explanation:To find the size of angle XYZ, we need additional information. Typically, to determine the size of an angle, we need to know the measures of other angles or the lengths of the sides of the triangle. If we have such information, we can use the trigonometric ratios or the properties of triangles to find the size of angle XYZ. Could you please provide the missing information?
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As part of an activity during math class, Kiera has to select a secret number containing 3 different digits from 1 to 4. How many different secret numbers can Kiera create?
Answer:
24.
Step-by-step explanation:
The is the number of permutations of 3 digits from 4
= 4P3
= 4! / (4- 3)!
= 4 *3 *2 *1 / 1!
= 24/1
= 24.
Sarina has two pieces of square paper. Each piece of paper has a side length of 7 inches. Both pieces of paper are cut along a diagonal, and the resulting triangles are arranged to form a new square, as shown below. What is the area of the new square?
Answer: 49
Step-by-step explanation:
If iTs half of each square its the same
Solve the riddle. Two-thirds of a number increased by five is the same as negative two-sixths of a number increased by fourteen. Two-thirds x + 5 = negative StartFraction 2 Over 6 EndFraction x + 14 What is the number?
Answer:
9Step-by-step explanation:
I got 100% on this assignment.The number in the equation is 9.
What is an equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation in algebra.
Let the number be x
(2/3)x + 5 = (-2/6)x + 14 (Equation given)
x( 2/3 + 2/6 ) = 14 - 5
x( 2/3 + 1/3) = 9
x = 9
Hence, the number in the given equation is 9
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You flip a coin twice.
What is the probability of getting tails and then getting heads?
Group of answer choices
25% (1/4)
50% (1/2)
75% (3/4)
0%
Answer:
25%(1/4)
Step-by-step explanation:
The probability of getting tails on the first flip and heads on the second flip of a coin is 25%, as each flip is an independent event.
Explanation:The question pertains to the probability of an event occurring in two successive trials - flipping a coin twice. Firstly, we need to recognize that each flip is an independent event. An independent event is one in which the outcome of the first event does not affect the outcome of the second. When you flip a coin, the probability of getting tails is 1/2 or 50%, and the probability of getting heads is also 1/2 or 50%. Since these are independent events, we multiply the probabilities to get the result.
When you multiply 1/2 (probability of getting tails on the first flip) by 1/2 (probability of getting heads on the second flip), your result is 1/4 or 25%.
So, the probability of getting tails on the first flip and heads on the second flip is 25%.
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Write the equation in standard form for the circle with center (-3, -7) and radius 19
Answer:
( x + 3)² + ( y + 7)² = 361
Step-by-step explanation:
The equation of a circle written in standard form is ( x – h)² + ( y - k)² = r². The center is (h, k) and the radius is r.
With the given information of center (-3, -7) and radius 19, we get
[ x – (-3)]² + [ y - (-3)]² = (19)²
( x + 3)² + ( y + 7)² = 361
Find the measure of GHI
Answer:
119°
Step-by-step explanation:
In circle with center B, JH is diameter.
[tex]m\angle GHI = 360° - (90° + 151°)\\
m\angle GHI = 360° - 241°\\
m\angle GHI = 119°\\
\because\overset{\frown}{GHI} =m\angle GHI\\
\huge \red{ \boxed{\therefore \overset{\frown}{GHI} =119°}}\\ [/tex]
If I have 10
cups of cake batter to split amongst 18 cupcakes. How many cups of bafter will use for each cupcake?
⁵/₉ of bafter a cup would go per cupcake .
To determine how many cups of cake batter to use for each of the 18 cupcakes when you have 10 cups of batter, you need to divide the total amount of batter by the number of cupcakes.
Divide the total cups of batter (10 cups) by the number of cupcakes (18):
= 10 ÷ 18
≈ 10 / 18
Divide both sides by 2 to simplify and get:
= 5 / 9
Which graph is defined by the function given below?
y = (x+3)(x+3)
Answer:
Since you provided no graphs, I just graphed y=(x+3)(x+3). I hope this helps.
Final answer:
The graph defined by the function y = (x+3)(x+3) is a parabola opening upwards with its vertex at (-3, 0), represented by a U-shaped curve on the coordinate plane.
Explanation:
The function given by y = (x+3)(x+3) represents a quadratic equation, which can be expanded to y = x^2 + 6x + 9. This is a parabola that opens upwards because the coefficient of the x^2 term is positive. The graph of this function will have its vertex at the point (-3, 0), which is obtained by setting the inside of the parentheses to zero. To visualize this function, you would plot a series of points by choosing different values for x, calculate the corresponding y values, and then plot these points on a coordinate plane. Connecting these points will reveal the U-shaped curve typical for a quadratic function.
Marta bought a paperweight in the shape of a cone. The radius was 10 centimeters and the height 9 centimeters. Find the volume. Round to the nearest tenth.
Answer:
The volume of the paper weight is 942.8 cubic cm.
Step-by-step explanation:
We are given the following in the question:
Dimensions of paperweight :
Radius, r = 10 cm
Height,h = 9 cm
Volume of paper weight = Volume of cone
[tex]V= \dfrac{1}{3}\pi r^2 h[/tex]
where r is the radius and h is the height of the cone.
Putting values, we get,
[tex]V = \dfrac{1}{3}\times \dfrac{22}{7}\times (10)^2\times 9\\\\V = 942.8\text{ cubic cm}[/tex]
Thus, the volume of the paper weight is 942.8 cubic cm.
The volume is 942.5 [tex]cm^{3}[/tex].
To calculate the volume of a cone, you can use the formula:
V = (1/3)πr²h
where:
V is the volumer is the radius of the baseh is the height of the cone1. For Marta's paperweight with a radius of 10 centimeters and a height of 9 centimeters, you substitute the values into the formula as follows:
V = (1/3)π(10 cm)²(9 cm)
2. First, calculate the base area:
(10 cm)² = 100 cm²
3. Then, multiply by the height:
100 cm² × 9 cm = 900 cm³
4. Finally, multiply by (1/3)π:
V = (1/3)π × 900 cm³ ≈ 942.5 cm³
Therefore, the volume of the cone is approximately 942.5 [tex]cm^{3}[/tex], rounded to the nearest tenth.
At a football game 100 students were surveyed about their food and drink purchases. Out of the 100 students surveyed, 70 bought a drink, 60 bought a food item, and 50 bought both a drink and a food item.
A student is chosen at random from the 70 students that bought a drink. What is the probability that the student also bought a food item?
Answer:
The probability is 5/7
Step-by-step explanation:
Please check the attached files for more explanation
2/3 - 1/2 =? please answer quick
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3} - \frac{1}{2} =\frac{2x2}{3x3} -\frac{1x3}{2x3} =\frac{4}{6} -\frac{3}{6} =\frac{4-3}{6} =\frac{1}{6}[/tex]
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3}-\frac{1}{2}=\\ \\=\frac{2*2-1*3}{6}\\ \\=\frac{4-3}{6}\\ \\=\frac{1}{6}[/tex]
The Martins plan for a garden is shown in the diagram. They need to figure out how much they will spend on topsoil for the garden. What is the area of the garden? The area of the garden is ft2. If topsoil costs $0.15 per square foot, how much will they spend to cover the area with topsoil? They will spend $.
answer 1 is : 144
Answer2:21.60
Answer:
144 and 21.60
Step-by-step explanation:
Is 944544 divisible by 5?
Answer: No!
Step-by-step explanation:
Answer: No
Step-by-step explanation: If you take 944544 and divide it by 5, you will end up with 188908.8