Answer:
$11,250
Step-by-step explanation:
Yvonne earns a fixed amount of $1,850 per month and want to earn $2,300. The difference is
[tex]\$2,300-\$1,850=\$450.[/tex]
This difference is her commission. If she earns the commission of 4% on the amount of goods that she sells, then
$x - 100%
$450 - 4%
Make a proportion:
[tex]\dfrac{x}{450}=\dfrac{100}{4}\Rightarrow 4x=45,000\\ \\x=\dfrac{45,000}{4}\\ \\x=\$11,250[/tex]
Yvonne must sell $11,250
Drag the tiles to the boxes to form correct pairs. Match each mixed number to its equivalent decimal number.
20 4/5 , 20 1/5 , 20.75 . 20.875 , 20.8 , 20 3/4 , 20 7/8 , 20.2 .
Answer:
20 3/4 is to 20.75
20 1/5 is to 20.2
20 7/8 is to 20.875
and 20 4/5 is to 20.8
The matching of each mixed number to its equivalent decimal number is given below -
What is the matching of each mixed number to its equivalent decimal number ?The mixed number is represented as a b/c where a, b, c are three positive non zero integers .
Mathematically -
a b/c = {(a*c) + b}/ c
Thus, the matching of each mixed number to its equivalent decimal number is -
20 3/4 is to 20.7520 1/5 is to 20.220 7/8 is to 20.87520 4/5 is to 20.8To learn more about mixed number, refer -
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Can someone please help me with this??
Answer:
12. v = 013. b = 914. y = 515. z = -816. n = -m and n ≠ 0 and m ≠ 017. x = 3Step-by-step explanation:
[tex]12.\ a^v=1\to a^v=a^0\to v=0\\\\\text{because}\ a^0=1\ \text{for any}\ a\neq0.\\\\13.\ \ b^{-w}=\dfrac{1}{b^9}\to \dfrac{1}{b^w}=\dfrac{1}{b}\to b=9\\\\\text{because}\ a^{-n}=\dfrac{1}{a^n}\ \text{for any}\ a\neq0\\\\14.\ \dfrac{3^3}{3^y}=\dfrac{1}{9}\to\dfrac{3^3}{3^y}=\dfrac{3^0}{3^2}\to 3-y=-2\to y=5\\\\\text{used}\ \dfrac{a^m}{a^n}=a^{n-m}\\\\15.\ 5^8\cdot5^z=1\to5^{8+z}=5^0\to8+z=0\to z=-8\\\\\text{used}\ a^n\cdot a^m=a^{n+m}[/tex]
[tex]16.\ 7^n\cdot 7^m=1\to7^{n+m}=7^0\to n+m=0\to n=-m\\\\17.\ \dfrac{3^x\cdot2^2}{3^4}=\dfrac{4}{3}\to3^{x-4}\cdot2^2=3^{-1}\cdot2^2\to x-4=-1\to x=3[/tex]
A hotel in Las Vegas, Nevada, is the largest pyramid in the United States. Prior to the construction of the building, the architects designed a scale model. The height of the scale model is 9 inches less than its length and its base is a square. If the volume of the model is 6300 cubic inches, write an equation describing the situation.
Answer:
The equation that describe the situation is
[tex]b^{3}-9b^{2}-18,900=0[/tex]
Step-by-step explanation:
we know that
The volume of a square pyramid is equal to
[tex]V=\frac{1}{3}b^{2} h[/tex]
where
b is the length side of the square
h is the height of the pyramid
we have
[tex]V=6,300\ in^{3}[/tex]
[tex]h=(b-9)\ in[/tex]
substitute the values and solve for b
[tex]6,300=\frac{1}{3}b^{2} (b-9)\\ \\18,900=[b^{3}-9b^{2}]\\ \\b^{3}-9b^{2}-18,900=0[/tex]
Using a graphing calculator
[tex]b=30\ in[/tex]
[tex]h=(30-9)=21\ in[/tex]
Answer:
A is correct on edge 2022
Step-by-step explanation:
Can someone help me out
Answer:
88?
Step-by-step explanation:
Since XPY is a lot smaller and 23 degrees, 88 degrees makes the most sense.
Hat every 2nd visitors backpack every 10th visitor tshirt every 7th visitor how often will a bag contain a 3 items
Answer:
Every 70th visitor
Step-by-step explanation:
Find the least common multiple of 2, 10, and 7.
Write the prime factorization:
2 = 2
7 = 7
10 = 2×5
So the LCM is:
LCM = 2×5×7
LCM = 70
Every 70th visitor will get a bag containing all 3 items.
Select the statement that is NOT equivalent to-- "It is not true that England and Africa are both countries."
a. If England is a country, then Africa is not a country.
b. England is not a country and Africa is not a country.
c. England is not a country or Africa is not a country.
d. If Africa is a country, then England is not a country
The original statement is true only if:
England is a country and Africa isn'tAfrica is a country and England isn'tNeither of them are countriesOptions a and d are equivalent:
[tex]P\implies Q \iff \lnot Q \implies \not P[/tex]
and they both are true in the same cases as above.
Option c is also fine, because it is false only if both England and Africa are both countries, just like the original statement.
Option b, instead, is true only if neither of the two options are countries, so it doesn't cover the cases where only one of the two is a country.
Answer:
Both are cities smh ♂️
Step-by-step explanation:
please please help! A car travels along a straight road for 30 seconds starting at time t = 0. Its acceleration in ft/sec^2 is given by the linear graph below for the time interval [0, 30]. At t = 0, the velocity of the car is 0 and its position is 10. What is the velocity of the car when t = 6? You must show your work and include units in your answer.
Answer:
42 ft/s
Step-by-step explanation:
The change in velocity is given by the area under the curve from t=0 to t=6. The average acceleration over that period is (10+4)/2 = 7 ft/s^2, so the change in velocity is ...
(7 ft/s^2)(6 s) = 42 ft/s
The velocity of the car at t=6 is 42 ft/s.
The velocity of the car at t=6 is 42 ft/s.
The change in velocity is given by the area under the curve from t=0 to t=6. The average acceleration over that period is [tex](10+4)/2 = 7 ft/s^2[/tex], so the change in velocity is ...
[tex](7 ft/s^2)(6 s) = 42 ft/s[/tex]
The velocity of the car at t=6 is 42 ft/s.
The heights of a group of trees is normally distributed with a mean of 14.3 feet. If the z score for a 20-foot y’all tree is 1.9, what is the standard deviation?
Answer:
The standard deviation of the heights of the group of trees is 3 feet
Step-by-step explanation:
For a normal distribution, the z-score corresponding to a particular observed value is calculated as;
z-score = (observed value - mean) / (standard deviation)
The mean is given as 14.3
The z-score is 1.9
The observed value is 20 (the given height)
We can make the standard deviation to be the subject of the formula in the above equation;
standard deviation = (observed value - mean) / ( z-score)
We then substitute the given values into this equation;
standard deviation = [tex]\frac{20-14.3}{1.9}=3[/tex]
Find the probability an observation is on a Thursday when the temperature is between 90 and 99. Find the probability an observation is on a Monday when the temperature is less than 90. Find the probability an observation is on a Friday when the temperature is greater than 89. Find the probability that the temperature is between 90 and 99, it will be a Thursday. Find the probability that if the temperature is between 110 and 120 and it will be a Sunday.
Answer:
Out of the 6 observations when the temperature is between 90 and 99, 2 are on Thursday.
2/6 = 33%
Out of the 4 observations when the temperature is less than 90, 1 was on Monday.
1/4 = 25%
Out of the 26 observations when the temperature is greater than 89, 4 were on Friday.
4/26 = 15%
Out of the 6 observations when the temperature is between 90 and 99, 2 are on Thursday.
2/6 = 33%
Out of the 1 observation when the temperature is between 110 and 120, none were on Sunday.
0%
To calculate probabilities of certain observations concerning different variables, we need relevant data pertaining to those variables. Without this data, it's challenging to calculate precise probabilities. In such cases, we use the closest available data or make educated assumptions.
Explanation:To find the probability of different observations, we need specific data that relates to those situations. For example, to find the probability that an observation is on a Thursday when the temperature is between 90 and 99, we would need historic data that captures temperature observations on Thursdays. Similarly, other probabilities also need specific data. For instance, to know the probability of an observation being on a Monday with temperature less than 90, or a Friday where the temperature is greater than 89, we would need historic temperature measurements for these specific days. However, since the provided information doesn't include specific data needed to calculate the probabilities asked in the question, we can't provide precise probabilities. Probability in statistics is generally calculated based on relevant data that is representative of the situation of interest. In situations where it is necessary to estimate the probability without access to specific data, we might use available data that is as closely matching as possible, or might make educated assumptions.
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The graph of a linear function has a slope of 1/4 and passes through the point (1,3). What is the y-intercept of the function?
A. b=1/4
B. b=11/4
C. b= -1/4
D. b=4
Answer:
B
Step-by-step explanation:
In slope intercept form, y = mx + b, the m is the slope, the b is the y intercept, and x and y can be subbed in from the point you are given of (1, 3). We are told the slope, so everything we have fills in like this:
[tex]3=\frac{1}{4}(1)+b[/tex]
Now we just need to solve for b:
[tex]3-\frac{1}{4}=b[/tex] and
[tex]\frac{12}{4}-\frac{1}{4}=b[/tex] so
[tex]b=\frac{11}{4}[/tex]
What are the exact solutions of x2 = 4 − 7x?
x^2 = 4 -7x
Need to rewrite the equation in quadratic form.
Add 7x to each side:
x^2 +7x = 4
Subtract 4 from each side:
x^2 + 7x - 4 = 0
Now using the quadratic formula -b +/-√(b^2-4(ac)) / 2a
We can solve for x.
a = 1, b = 7 and c = -4
Replace the letters with their values:
-7 +/- √(7^2 -4(1-4)) / 2*1
Simplify:
-7 +/- √65 /2
The exact answers are:
X = -7 + √65 / 2 and X = -7 - √65 / 2
Answer:
X = -7 + √65 / 2 and X = -7 - √65 / 2
Step-by-step explanation:
The diameter of the base of the cone measures 8 units.
The height measures 6 units.
What is the volume of the cone?
A)240 cubic units
B)321 cubic units
C)48X cubic units
D)647 cubic units
Answer: [tex]32\pi[/tex] cubic units.
Step-by-step explanation:
You can use this formula for calculate the volume of a cone:
[tex]V_{cone}=\frac{1}{3}\pi r^2h[/tex]
Where "r" is the radius and "h" is the height.
You know that the diameter of the base of the cone measures 8 units, then, the radius can be found by dividing the diameter by 2:
[tex]r=\frac{8units}{2}\\\\r=4units[/tex]
Since you already know that height and the radius, you can substitute them into the formula. Then, the volume of this cone is:
[tex]V_{cone}=\frac{1}{3}\pi (4units)^2(6units)[/tex]
[tex]V_{cone}=32\pi \ units^3[/tex]
Answer:
b. 32
Step-by-step explanation:
e2020 says so
if x/5 = 10, then 5 (x/5) = 5(10)
this is an example of which property below?
a. reflexive property
b. commutative property for addition
c. addition property of equality
d. transitive property of equality
e. multiplication property of equality
Answer:
e.
Step-by-step explanation:
Each side is multiplied by 5.
It is the multiplication property of equality.
Find a unit vector in the same direction as the given vector: v = −14.5i + 2.5 j.
ANSWER
[tex]- \frac{29}{866} \sqrt{866} i + \frac{5}{866} \sqrt{866} j[/tex]
EXPLANATION
The given vector is v = −14.5i + 2.5 j.
The magnitude of this vector is
[tex] |v| = \sqrt{ {( - 14.5)}^{2} + {2.5}^{2} } [/tex]
[tex]v| = \sqrt{ {( - 14.5)}^{2} + {2.5}^{2} } [/tex]
[tex]v| = \sqrt{ 216.5} = \frac{ \sqrt{866} }{2} [/tex]
The unit vector in the direction of this vector is
[tex] = \frac{v}{ |v| } [/tex]
[tex] = - \frac{14.5}{ \frac{ \sqrt{866} }{2} } i + \frac{2.5}{ \frac{ \sqrt{866} }{2} } j[/tex]
[tex] = - \frac{29}{866} \sqrt{866} i + \frac{5}{866} \sqrt{866} j[/tex]
What are the angle measures of triangle VUW?
A) m∠V = 30°, m∠U = 60°, m∠W = 90°
B) m∠V = 90°, m∠U = 60°, m∠W = 30°
C) m∠V = 30°, m∠U = 90°, m∠W = 60°
D) m∠V = 60°, m∠U = 90°, m∠W = 30°
Answer:
its option D
Step-by-step explanation:
The angle measures of triangle VUW is D) m∠V = 60°, m∠U = 90°, m∠W = 30°
What are the 3 angles of a triangle?
All three angles in any triangle always upload as many as 180 degrees. So in case you best have of the angles with you, just upload them together, after which subtract the sum from 180. EX: A Triangle has three angles A, B, and C.
What is the angle measure formula?The method for finding the sum of the measure of the indoor angles is (n - 2) * 180. To discover the degree of 1 indoors perspective, we take that method and divide via the range of aspects n: (n - 2) * a hundred and eighty / n.
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7. John's seafood restaurant is trying to estimate its profits. John has found that on average, each meal served costs the restaurant $14.56 and takes in $17.12. John has also found that on average, each beverage served costs the restaurant $1.20 and takes in $5.40. If c customers order a meal, and half of those customers order a beverage, which of the following functions models the restaurant's total profit?
f(c) =17.12c -14.56c + 5.40(.5c) - 1.20(.5c)
f(c) = 17.12c - 14.56c + 5.4c - 1.20c
f(c)=14.56c - 17.12c + 1.20c - 5.40c14.56c - 17.12c + 12(.5c) - 5.40(.5c)
Answer:
f(c) =17.12c -14.56c + 5.40(.5c) - 1.20(.5c)
Step-by-step explanation:
Profit is the difference between revenue (17.12c +5.40(.5c)) and cost(14.56c+1.20(0.5c)). That difference is expressed by the function shown above.
Answer:
f(c) =17.12c -14.56c + 5.40(.5c) - 1.20(.5c)
Step-by-step explanation:
Let's build the f(c) function by steps.
There are c customers.
John has found that on average, each meal served costs the restaurant $14.56 and takes in $17.12.
So, the costs for the restaurant are negative, and what takes positive.
f(c) =17.12c -14.56c
Now the final part
John has also found that on average, each beverage served costs the restaurant $1.20 and takes in $5.40.
Half of these customers order a beverage, and this is why we multiply by 0.5.
So
f(c) =17.12c -14.56c + 5.40(.5c) - 1.20(.5c)
Please help me out please
Answer:
11.7
Step-by-step explanation:
a^2+b^2=c^2
10^2+6^2=c^2
100+36=c^2
add 100+36=136
square root of 136 = 11.6619037897
= 11.7
how many revolutions does each tire make while traveling 500 feet? Include the calculations and provide appropriate units (sorry that the picture isn’t great)
Answer:
tire A=39 revolutions
tire B=38 revolutions
tire C= 37 revolutions
Step-by-step explanation:
The question is on circumference
Tire A diameter = 15 +4.60+4.60=24.20 inches
Tire B diameter= 16+4.43+4.43=24.86 inches
Tire C diameter=17+4.33+4.33=25.66 inches
Finding the circumference/single revolution
Tire A = 2×3.14×24.20=151.98 inches
Tire B= 2×3.14×24.86=156.12 inches
Tire C=2×3.14×25.66=161.15 inches
Number of revolutions made
Track length=500 feet.............change feet to inches
500×12=6000inches
Revolutions for tire A= 6000/151.98 =39.47⇒39 revolutions
Revolutions for tire B=6000/156.12 =38.43⇒38 revolutions
Revolutions for tire C= 6000/161.15 =37.23⇒37 revolutions
Please please help me out
Answer:
[tex]\frac{15}{17}[/tex]
Step-by-step explanation:
Using the Pythagorean identity
sin²x + cos²x = 1, then
sin²x = 1 - cos²x
sinx = [tex]\sqrt{1-cos^2x}[/tex]
Hence
sinΘ = [tex]\sqrt{1-(8/17)^2}[/tex]
= [tex]\sqrt{1-\frac{64}{289} }[/tex]
= [tex]\sqrt{\frac{225}{289} }[/tex] = [tex]\frac{15}{17}[/tex]
Please please help me out
12x18.2/2=109.2 is the area of the big triangle and also the same area could be found 20 x h=109.2 so
h= 109.2/20=5.46 m
From the ten books that you've recently bought but not read, you plan to take four with you on vacation. How many different sets of four books can you take
Answer:
Step-by-step explanation:
2 sets of books
Kim and her two brothers each use one and a half cups of milk for breakfast. How many fluid ounces of milk do they use in four days
Answer: 48 fl oz ( fluid ounces )
Explanation:
1 c = 8 fl oz
1 1/2 c = 12 fl oz
12 fl oz of milk × 4 Days =
48 fl oz in four days
A spinner is separated into 4 equal pieces, as shown below: A spinner is shown with four colors, yellow, pink, white, and black, marked on it. The arrow points towards the black color. Jonathan spins the spinner 10 times. What is the theoretical probability that it stops on the black sector on the last spin?
Answer:
The answer is 1 over 4
Step-by-step explanation:
Answer:
1/4.
Step-by-step explanation:
The spinner has 4 sections, and 1 out of those 4 is the black one, that of which we are seeing the probability of landing on it.
1 chance out of 4 for landing on black.
therefore, your answer is 1/4.
sorry if i'm late but I needed the points :)
Please help me out with this
Value of x is 140
Tangent are present that means those angles are of 90° and 90° + 90° = 180°
One angle is already given 40°
By angle sum property of Quadrilateral
We can get its value
Love from India❤
100 POINTS AND BRAINLIEST
please answer #4 and #5
4. His percentage is 79% so making each shot is 79%
Multiply the percent for each shot for each shot:
Making two shots = 0.79 x 0.79 = 0.624 = 62.4% Round the answer to 62% if needed.
5. They have 4 different flavors and 6 different toppings.
a. Picking vanilla is 1 out of 4 = 1/4 and picking chocolate chips is 1 out of 6 = 1/6.
The probability of picking both is 1/4 x 1/6 = 1/24
b. There are a total of 10 different things to pick.
Picking chocolate ice cream is 1 out of 10 = 1/10, picking marshmallow topping is 1 out of 10 = 1/10
Picking one or the other would be 2 out of 10 = 2/10 which reduces to 1/5
Answer:
4. 79%
5. 1/24 and 1/5 for part a and b
HELP PLEASE I WILL GIVE 99 POINTS IM DESPERATE!
Ivan bought a box of macadamia nuts to bring home from his trip.What volume of nuts could the container hold?
18 x 15 x 3 is 810. The volume is 810. (Also you cant give 99 points but I’ll take a brainlist answer?)
Answer:
[tex]810\text{ cm}^3[/tex].
Step-by-step explanation:
We have been given an image of a container. We are asked to find the volume of nuts could the container hold.
We can see that our given container is in form of cuboid, so we will use volume of cuboid formula to solve our given problem.
[tex]\text{Volume of cuboid}=\text{Length*Width*Breadth}[/tex]
Upon substituting our given values in above formula, we will get:
[tex]\text{Volume of container}=18\text{ cm}\times 15\text{ cm}\times 3\text{ cm}[/tex]
[tex]\text{Volume of container}=810\text{ cm}^3[/tex]
Therefore, the container can hold 810 cubic cm of macadamia nuts.
The world's largest chocolate bar is a rectangular prism weighing more than a ton! The bar is 9 feet long, 4 feet tall, and 1 foot wide. How many cubic feet of chocolate does it contain? Show your work.
Answer:
36 ft³
Step-by-step explanation:
The volume of a rectangular prism is computed by multiplying the length, width, and height:
V = LWH = (9 ft)(1 ft)(4 ft) = 36 ft³
victor jogged 8 3/7 kilometers on Monday and 7 4/6 kilometers o Tuesday. what is the difference between these two distances?
Answer:
16/21 km
Step-by-step explanation:
The LCD here is 42. Thus, 8 3/7 km = 8 18/42 and 7 4/6 km = 7 28/42 km.
The difference in the two distances is
8 18/42 km
- 7 28/42 km
---------------------
or:
7 60/42 km Here I have borrowed 42/42 from that 8.
- 7 28/42 km
---------------------
32/42 km, or 16/21 km
What is the equation of a line passing through (-3, 7) and having a slope of -1/5 ? A. y = -5x + 22 B. y = 5x + 22 C. y=1/5x+32/5 D. y=-1/5x+32/5 E. y=-1/5x+22
Answer:
D. y = -1/5x +32/5
Step-by-step explanation:
The equation of the line passing through point (h, k) with slope m can be written ...
y = m(x -h) +k
Filling in your given values, the equation is ...
y = -1/5(x -(-3)) +7
y = -1/5x -3/5 +7 . . . . eliminate parentheses
y = -1/5x +32/5 . . . . . combine constants
Please please help me
The area of a parallelogram is given by
[tex]A=bh[/tex]
Now, if we consider the 9.9 inches side as the base, then the height is the one labeled with 5.5 inches.
If instead we choose the 11 inches side as the base, the height is h.
So, we can express the area in this two equivalent ways:
[tex]A = 9.9\cdot 5.5 = 11\cdot h[/tex]
Solving for h, we have
[tex]h = \dfrac{9.9\cdot 5.5}{11} = 4.95[/tex]