Answer:
29
Step-by-step explanation:
Answer:
58⁰
Step-by-step explanation:
So its given that angle BAD and angle DAC are equal
BAD+DAC=CAB
29+29= 58⁰
For a recent paint job, Josh mixed red and white paint to make two different shades of pink. When the job was done, Josh ended up with leftover paint: 5 gallons of dark pink paint (80% red) and 4 gallons of light pink paint (30% red). Josh wants to make a medium pink color (50% red) to paint his daughter's bedroom. He will need 3 gallons to completely cover the walls. How much of each of the leftover paints should Josh mix to achieve his desired color?
? gallons of dark pink paint
? gallons of light pink paint
Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.
To find out how much of each leftover paint Josh should mix to achieve a medium pink color (50% red), we can set up a system of equations based on the percentages of red in the paints.
Let's assume that Josh needs x gallons of dark pink paint and y gallons of light pink paint to achieve the desired color.
The total amount of paint needed is 3 gallons, so we have the equation:
x + y = 3
The percentage of red in the dark pink paint is 80%, which means 80% of x gallons is red. Similarly, the percentage of red in the light pink paint is 30%, which means 30% of y gallons is red. Since Josh wants a 50% red mixture, we have the equation:
(80/100)x + (30/100)y = (50/100)(x + y)
Simplifying this equation, we get:
0.8x + 0.3y = 0.5(x + y)
Now, we can solve this system of equations to find the values of x and y.
Let's multiply both sides of the first equation by 0.3 to eliminate decimals:
0.3x + 0.3y = 0.3(3)
0.3x + 0.3y = 0.9
Now we can subtract the second equation from this equation:
(0.3x + 0.3y) - (0.8x + 0.3y) = 0.9 - 0.5(x + y)
-0.5x = 0.9 - 0.5x - 0.5y
Simplifying further, we have:
-0.5x = 0.9 - 0.5x - 0.5y
Now, rearrange the equation to isolate y:
0.5x - 0.5y = 0.9 - 0.5x
Next, divide through by -0.5:
x - y = -1.8 + x
Canceling out the x terms, we get:
-y = -1.8
Finally, solve for y:
y = 1.8
Substitute this value of y back into the first equation to solve for x:
x + 1.8 = 3
x = 3 - 1.8
x = 1.2
Therefore, Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.
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In a bird park 21 out of 175 birds are flamingos.what percentage of birds are flamingos in the bird park.
Answer:
12 %Step-by-step explanation:
Covert 21 out of 175 into percentage:
21/175*100% = 12 %We need percentage
\(\\ \bull\sf\dashrightarrow \dfrac{21}{175}\times 100\)
\(\\ \bull\sf\dashrightarrow \dfrac{21}{7}\times 4\)
\(\\ \bull\sf\dashrightarrow 3(4)\)
\(\\ \bull\sf\dashrightarrow 12\%\)
How many nickels are in $1? Solve the equation 1 divided by 0.05 to help you.
Please help me ASAP and PLEASE do a step by step explain
(Sorry the picture is all weird!) worth 15 points or more
Hi!
Given:
\(\frac{1}{0.05}\)
To make this easier, we know that a dollar is 100 cents, right? Therefore, we can multiply both the numerator and denominator by 100.
\(\frac{1 * 100}{0.05 * 100}\)
When you are multiplying decimals by 10, 100, 1000, etc., you simply move the decimal point to the right based on the number of 0's the number has. In this case, 100 has two 0's therefore we move the decimal of 0.05 two spaces to the right.
\(0.05*100 = 5\)
Now, we have:
\(\frac{100}{5}\)\(= 20\)
Therefore, there are 20 nickels in 1 dollar.
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Write an expression to represent the number of seconds since that hare began the race in terms of the number of seconds X since the Tortoise started the race
Answer:
write an expression to repersent the number of seconds since that hare began the race in terms of the number of seconds x since the tortise started the race
Step-by-step explanation:
Answer:
Step-by-step explanation:
Lana put an end table with a triangular top next to her sofa. The length of the base of the top is 26 inches, and the height is 16 inches.
What is the area of the top of the table?
Answer:
208
Step-by-step explanation:
Took the quiz and got 100%
QS−→ bisects ∠PQR and m∠RQS = 71°. Find m∠PQS and m∠PQR.
The angle PQS is 71 degrees and the angle PQR is 142 degrees.
What is an angle bisector?The line or line segment that divides an angle into two equal pieces is known as the bisector of an angle, also known as the internal angle bisector. The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.
Given that line, QS is bisecting the angle PQR into two angles RQS and PQ. The angle bisector bisects the two angles into two equal halves.
PQR = RQS
PQS = 71 degrees
PQR = PQR + RQS = 142 degrees
Therefore, the angle PQS is 71 degrees, and the angle PQR is 142 degrees.
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f(x)=3x-2
h(x)=3x
g(x)=x squared
find the value of x when f(x)=19
The value of f(19) in the given equation is 55.
What is the function of a linear equation?The function of a linear equation illustrates a straight line graph and for a given set of input into the function, there is usually a specific output.
Given that:
f(x) = 3x - 2We are to find the f(x) = 19.
So;
f(19) = 3(19) - 2
f(19) = 57 - 2
f(19) = 55
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BOTS KEEP ANSWERING MY QUESTIONS SOMEONE PLEASE HELP ME THIS ONE PERSON KEEPS GIVING ME SOME LINK TO PRESS ON SOMEONE HELP ME
Answer:
That has happened to me so many times to the point where I just completely ignore it. Try reporting the answer or something like that because that is what I did and I haven't really had one answer any of my questions.
Step-by-step explanation:
Hope this helps:)....if not then sorry for wasting your time and may God bless you:)
Luis got paid $120 for 4 hours
How much does he get paid per hour?
A) $12 per hour
B) $3 per hour
C) $4 per hour
D) $30 per hour
Answer:
$30 per hour
Step-by-step explanation:
120/4=30
a right triangle has side lengths 8, 15, and 17 as shown below. Use these lengths to find cosY, sinY, and tanY
a contractor needs to cut a piece of glass to fit a square window. the area of the window is 16 ft^2. find the length of the side window.
Area = 16 ft.²
Use the square root process:
√16
√(4 * 4)
2√4 = 4
Answer:
4
Step-by-step explanation:
A= L*W (length x width)
16 ft^2= 4*4
or
x^2= 16
square root (x^2)= x and square root (16)= 4
A rectangular parking lot has a perimeter of 112 and a area of 768 square meter what are the dimensions of the parking lot
Therefore, the dimensions of the parking lot can be 32 m × 24 m or 24 m × 32 m.
Let's represent the dimensions of the rectangular parking lot as 'l' and 'w.' Therefore, the perimeter of the parking lot can be expressed as:Perimeter, P = 2l + 2w
We are given the perimeter of the parking lot as 112.
Therefore,112 = 2l + 2w
Now, let's solve for l in terms of w
112 - 2w = 2l
56 - w = l
l = 56 - w
Now, let's represent the area of the parking lot as 'A'.A = lw 768 = l w 768 = (56 - w)w768 = 56w - w²0 = w² - 56w + 768 To solve the above quadratic equation, we will use the quadratic formula:
x = (-b ± √(b² - 4ac))/2a
On substituting the given values in the above formula, we get:
w = 24 or w = 32If w = 24, then l = 56 - 24 = 32If w = 32, then l = 56 - 32 = 24
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Indeterminate form [0^0]: Calculate the following limits using L'Hospital's Rule.
lim tanx^sinx
x-> 0+
With the way the problem is written on my homework, I'm not sure if it's (tanx)^sinx or tan(x^sinx). Answers to both methods would be helpful.
When interpreting the expression as \((tanx)^{(sinx)\), the limit using L'Hospital's Rule is -∞ as x approaches 0+. However, when interpreting the expression as\(tan(x^{sinx})\), the limit is not well-defined due to the indeterminate form of 0^0.
To calculate the limit using L'Hospital's Rule, let's consider both interpretations of the expression and find the limits for each case:
Case 1: lim\((tanx)^{(sinx)\) as x approaches 0+
Taking the natural logarithm of the expression, we have:
\(ln[(tanx)^{(sinx)}] = sinx * ln(tanx)\)
Now, we can rewrite the expression as:
\(lim [sinx * ln(tanx)]\)as x approaches 0+
Applying L'Hospital's Rule, we differentiate the numerator and denominator:
\(lim [(cosx * ln(tanx)) + (sinx * sec^{2}(x))] / (1 / tanx)\) as x approaches 0+
Simplifying the expression:
\(lim [cosx * ln(tanx) + sinx * sec^{2}(x)] * tanx\) as x approaches 0+
\(lim [cosx * ln(tanx) + sinx * sec^{2}(x)] * (sinx / cosx)\) as x approaches 0+
\(lim [(cosx * ln(tanx) + sinx * sec^{2}(x)) / cosx] * sinx\) as x approaches 0+
\(lim [ln(tanx) + (sinx / cosx) * sec^{2}(x)] * sinx\) as x approaches 0+
\(lim [ln(tanx) + tanx * sec^{2}(x)] * sinx\) as x approaches 0+
Since lim ln(tanx) as x approaches 0+ = -∞ and\(lim (tanx * sec^{2}(x))\) as x approaches 0+ = 0, we have:
\(lim [ln(tanx) + tanx * sec^{2}(x)] * sinx\) as x approaches 0+ = -∞
Therefore, the limit of \((tanx)^{(sinx)\) as x approaches 0+ using L'Hospital's Rule is -∞.
Case 2: lim\(tan(x^{sinx})\)as x approaches 0+
We can rewrite the expression as:
lim\(tan(x^{(sinx)})\) as x approaches 0+
This expression does not have an indeterminate form of \(0^0\), so we do not need to use L'Hospital's Rule. Instead, we can substitute x = 0 directly into the expression:
lim \(tan(0^{(sin0)})\) as x approaches 0+
lim\(tan(0^0)\)as x approaches 0+
The value of \(0^0\) is considered an indeterminate form, so we cannot determine its value directly. The limit in this case is not well-defined.
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Peter bought 5 pens and 8 pencils they cost him 13,25€. How much does one pencil and one Pen cost if the pencil 1,35€ cheaper than the pen
Answer: 1.85€, 0.5€
Step-by-step explanation:
Given
Peter bought 5 pens and 8 pencils which costs 13.25€
The pencil is 1.35€ cheaper than the pen
Suppose the price of a pen and pencil is x and y
So, we can write
\(\Rightarrow 5x+8y=13.25\quad \ldots(i)\\\Rightarrow x-y=1.35\quad \ldots(ii)\)
Solving the above equations, we get
\(x=1.85,y=0.5\)
Therefore, the price of a pen and pencil are 1.85€ and 0.5€.
A store has 4 employees that earn 138 dollars altogether. If they all earn the same amount, how much does each employee earn?
Answer: 34.50 thank me later
Calculate the acceleration of a 40 kg crate of softball gear when pulled sideways with a net force of 200 n
Answer:
5 m/s²
Step-by-step explanation:
To find the acceleration we apply Newton's second law of motion
F = ma where F is the net force in Newtons, m the mass of the object (kg) and a the acceleration in meters/second² (m/s²)
Given
F = 200 N
m = 40 kg
we have 200 = 40a
So a = 200/40=5 m/s²
The measures of the angles of a triangle are shown in the figure below. Solve for x
Answer:
x = 5
Step-by-step explanation:
All 3 angles add up to 180.
5x+6 + 43 + 106 = 180
5x + 155 = 180
5x = 25
x = 5
please help me (serious answers please)
Answer:
1. -21
2. 46
3. 2
4. -4
5. 10
6. -10
Step-by-step explanation:
1. gh = (-7)(3) = -21
2. g² - h = (-7)² - (3) = 49 - 3 = 46
3. g + h² = (-7) + (3)² = -7 + 9 = 2
4. g + h = (-7) + (3) = -4
5. h - g= (3) - (-7) = 10
6. g - h = (-7) - (3) = -10
PLEASE HELP
Consider the line segment with endpoints (0, -5) and (5, 0). What are other points on this
segment that have integer coefficients?
The line segment with endpoints (0, -5) and (5, 0) is (5/2, 5/2) and has integer coefficients.
what is line ?A line is an enormously long object without any width, depth, or curvature. A line is therefore a one-dimensional object, even if it can also exist in two-, three-, and far more spaces. In everyday language, a line is defined as an integrand with two points operating as its ends. A line is an open, straight form that has no thickness and can extend in both directions indefinitely. It is common that the terms "straight line" or "ancient correct line" to describe a line that has no "wobble" anything along its length. (Casey 1893)
given
line segment ( 0,-5) and ( 5,0)
mid - point coordinate of x = x2 - x1 /2 = 5/2
mid - point coordinate of y = y2 - y1 / 2 = 5/2
The line segment with endpoints (0, -5) and (5, 0) is (5/2, 5/2) and has integer coefficients.
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When Arjun makes hot cocoa, he adds 20\text{ mL}20 mL20, start text, space, m, L, end text of chocolate syrup for every 90\,\text{mL}90mL90, start text, m, L, end text of hot water. Arjun's brother, Eli, adds 45\text{ mL}45 mL45, start text, space, m, L, end text of chocolate syrup for every 180\,\text{mL}180mL180, start text, m, L, end text ounces of hot water.
Which hot cocoa is more chocolatey?
Choose 1 answer:
(Choice A)
A
Arjun's hot cocoa
(Choice B)
B
Eli's hot cocoa
(Choice C)
C
The two cocoas are equally chocolatey
On solving the provided question, we can say that from percentage Eli's hot cocoa has more chocolate flavor because his chocolate percentage is higher.
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
proportion of chocolate in Arjun's beverage == 20 X 100/90 = 22.22%
Eli's beverage contains the following amount of chocolate:= 45/180 X 100 = 25
Eli's hot cocoa has more chocolate flavor because his chocolate percentage is higher.
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consider what you know about the sampling distribution of the sample proportion. this sampling distribution
For large samples, the sample proportion is approximately normally distributed, with mean μˆP=p. and standard deviation σˆP=√pqn.
What is Sampling Distribution ?A sampling distribution is a probability distribution of a statistic obtained from a larger number of samples drawn from a specific population. The sampling distribution of a given population is the distribution of frequencies of a range of different outcomes that could possibly occur for a statistic of a population.
In statistics, a population is the entire pool from which a statistical sample is drawn. A population may refer to an entire group of people, objects, events, hospital visits, or measurements. A population can thus be said to be an aggregate observation of subjects grouped together by a common feature.
Sampling Distribution of the Sample Proportion :-The Sampling Distribution of the Sample Proportion. For large samples, the sample proportion is approximately normally distributed, with mean μˆP=p. and standard deviation σˆP=√pqn. A sample is large if the interval [p−3σˆp,p+3σˆp] lies wholly within the interval [0,1].
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5. A ladder 17 m long reaches the window of a building 15 m above
the ground. Find the distance of the foot of the ladder from the
building
Hint. Let AB be the ladder, CB be the building and B be the
window.
15 m
Then, AB = 17 cm, BC = 15 m, find AC.)
Answer:
8 m.
Step-by-step explanation:
Use the Pythagoras theorem
17^2 = 15^2 + AC^2
AC^2 = (17-15)(17+15) = 2 * 32
AC^2 = 64
AC = 8 m.
216,777777 to 2 decimal places
The round-off of the number 216,777777 to 2 decimal places is 216.78.
What is the rounding off to the number?When a number is rounded off, its value is preserved while it is moved closer to the next number. simplifying the number. It is done for whole numbers as well as decimals at different places of hundreds, tens, tenths, and so on.
A number can be rounded off to its lower value if the number after the decimal is between 0 and 4. If the number after it is between 5 and 9, it will be rounded up to its higher value.
To round 216,777777 to 2 decimal places, we look at the third decimal place, which is 7. Since 7 is greater than or equal to 5, we round up the second decimal place, which is 7. Therefore, 216,777777 rounded to 2 decimal places is 216,78.
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Can you put it into a single fraction
It should be noted that the addition of 3/4 and 1/16 as a single fraction will be 13/16.
How to calculate the valueIn order to add the fractions 3/4 and 1/16, we need to find a common denominator. The smallest common multiple of 4 and 16 is 16.
First, let's convert 3/4 to have a denominator of 16:
3/4 = (3/4) * (4/4) = 12/16
Now we can add the fractions:
12/16 + 1/16 = 13/16
Therefore, the sum of 3/4 and 1/16 is 13/16.
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Can you put it into a single fraction the addition of 3/4 and 1/16.
which of the following bases is the weakest? the base is followed by its kb value. a) hoch2ch2nh2, 3.2 × 10-5 b) nh3, 1.76 × 10-5 c) c5h5n, 1.7 × 10-9 d) (ch3ch2)3n, 5.2 ×
The weakest base is C5H5N (pyridine) with Kb = 1.7 × 10^(-9). The correct answer is C.
The strength of a base is determined by its ability to accept or donate a pair of electrons. In general, a stronger base has a higher tendency to accept or donate electrons compared to a weaker base.
In the given options, the bases are characterized by their Kb values. Kb (base dissociation constant) represents the equilibrium constant for the reaction of a base with water to form the corresponding conjugate acid and hydroxide ions.
Comparing the Kb values provided:
(CH3CH2)3N with Kb = 5.2 × 10^(-4) C5H5N (pyridine) with Kb = 1.7 × 10^(-9) NH3 with Kb = 1.76 × 10^(-5)HOCH2CH2NH2 with Kb = 3.2 × 10^(-5)A smaller Kb value indicates a weaker base because it corresponds to a lower concentration of hydroxide ions in solution. Therefore, in this case, C5H5N (pyridine) with a Kb value of 1.7 × 10^(-9) is the weakest base among the given options. The correct answer is C.
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The Recycling Club has $294 to purchase one set of recycling bins for each of the 14 members. Each of the 14 sets of bins will be identical to the others and cost the same amount. What is the greatest amount they can spend on one set of bins? Explain your reasoning.
Answer: If they have a set amount of $294 for buying 14 sets of bins. Then, they will spend $21 on each set of bins. The greatest amount they can spend in one bin is $21.
11.3 × 20.5
help asapppppp i gota lotta math work to do :((((((((((((((((((((((((((((
Answer:
231.65
Step-by-step explanation:
☺️☺️☺️☺️☺️☺️☺️☺️
Answer:
231. 65 is the answer
hope this answer will help you
have a great time
HELP ME PLEESSSEEE ASAPPAPAOAP
Answer:
q=64
Step-by-step explanation:
Pikachu is on the way to help! The answer is....
q = 64
How Pikachu got it if you want to know:
32 x 2 = 64
You can also check your work:
64 divided by 2 = 32
what's the error the student madewhat are the x and y intercepts
iona) The error is in dividing both sides of the equation by 3
b) the correct answer is 4x + 3y = 12
Explanation:The given equation: 3y = -4x + 12
To represent in standard form, it must be in the form:
Ax + By = C
rewitiing 3y = -4x + 12 in standard form
3y + 4x = 12
4x + 3y = 12
The student answer: y = -4/3 x + 4
From the above, we can see the student divided both sides of the equation by the coefficient of y. Both sides were divided by 3.
This procedure is only done when finding the slope of an equation and the coeffiecient of y is not 1.
a) The error is in dividing both sides of the equation by 3
b) the correct answer is 4x + 3y = 12
the x intercept: y = 0
4x + 3y = 12
4x + 3(0
Walter needs new grass in the circular pen for his chickens. The pen has 308 feet of fencing. What is the area of the pen?
Answer: 7546feet²
Step-by-step explanation:
Since the pen has 308 feet of fencing, this is the perimeter of the circular pen and we can get the raduus which goes thus:
Circumference of a circle = 2πr
2πr = 308
2 × 22/7 × r = 308
44/7 × r = 308
r = 308 × 7/44
r = 49
Therefore, area of the circular pen will be:
= πr²
= 22/7 × 49 × 49
= 7546feet²