7 3/4 pounds contains 124 ounces
8 ounces = 0.5 pound
X ounces = 1 pound
X = 8 / 0.5 = 16 ounces
7 3/4 = 7.75
7.75 contains = 7.75 * 16
= 124 ounces
EXPLORE ACTIVITY 2
TEKS 7.13.8
Analyzing a Family Budget
One way to present a budget is in a circle graph. You can see at a glance which
categories take the greatest part of the family's resources. You can also work
backward from a circle graph to figure out exactly how much money is in each
category.
Use the circle graph to complete
the table for the Baker family's
monthly budget. Their net
monthly income is $4,000.
STEP 1)
STEP 2
STEP 3
STEP 4
STEP 5
432 Unit 7
Enter the income in the table.
Enter the percent or amount of money for each
category from the circle graph in the table.
Calculate the amount of money or the percent
for each category in the table.
Determine which expenses are fixed and
which are variable. Place X's in the appropriate
columns.
Complete the Amount Available column.
Item
Net monthly income
means how much
income the family
has after taxes.
Net monthly
Income
Housing cost
Food
Savings
Entertainment
Clothing
Medical
Transportation
Emergency
fund
Amount
($)
Percent
(%)
Baker Family's Monthly Budget
Emergency fund
Transportation
(car expense,
bus passes)
$400
Medical
(insurance
and
additional
expenses)
$600
Clothing
8%
Entertainment
Savings
$320
Fixed
Variable
Amount
Expense Expense Available
($)
Housing
cost (house
payment and
Insurance!
$1,400
Food
15%
Note that the table of budget is attached accordingly, and steps 1-4 have been completed. See the table.
What happened during emergency repair of $305?4) Since the emergency fund for that month was $200, it means that they are in the short for $105. They can only affod it if they take from their savings.
5) they had a balance of $800 for the month. This is miscellaneous funds. They can make use of this for the trip to NASA. This way, they won't have to touch the savings or entertainment.
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Full Question:
See attached image.
Reflect
4. Analyze Relationships One month, the family must make an
emergency car repair for $305. Are they able to pay for it out of the
fixed emergency fund for that month? If not, how can they afford it?
5. The family wants to make a trip to Houston to visit the NASA Space
Center. What are some ways they can save without using all of the
allotted $160 for entertainment
which expression is equivalent to 2x+2x+2y+2y
Line t is tangent to the circle . Find AB (click photo)
Answer:
mAB=130°
Step-by-step explanation:
The tangent-chord theorem tells us that the angle the tangent makes with the curve (65°) is half the measure of the arc (mAB):
mAB=2(65)=130°
The value of measure of arc AB is,
⇒ m AB = 130°
What is mean by Angle?
An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
Line t is tangent to the circle.
Now, We know that;
The tangent-chord theorem tells us that the angle the tangent makes with the curve is half the measure of the arc.
Hence, We can formulate;
⇒ m AB = 2 × 65°
= 130°
Thus, The value of measure of arc AB is,
⇒ m AB = 130°
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Square MNOP with vertices M(-7,-4),
N(-4,-3), O(-3, -6), and P(-6, -7): k = 2
The image of the scaled copy of the square is M'(-14,-8), N'(-8,-6), O'(-6, -12), and P'(-12, -14)
What is dilation?Dilation involves enlarging or reducing the side length of a shape to create another shape by a constant scale factor, where the scale factor does not equal one.
How to determine the image of the scaled copy of the square?From the question, we have the following parameters that can be used in our computation:
Square MNOP with vertices M(-7,-4), N(-4,-3), O(-3, -6), and P(-6, -7): Scale factor of dilation, k = 2This means that
Scaled copy = Scale factor * Vertices of MNOP
So, we have
M'N'O'P' =M(-7,-4), N(-4,-3), O(-3, -6), and P(-6, -7)* 2
Evaluate
M'N'O'P' =M'(-14,-8), N'(-8,-6), O'(-6, -12), and P'(-12, -14)
Hence, the image of the dilation is M'(-14,-8), N'(-8,-6), O'(-6, -12), and P'(-12, -14)
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Complete question
Given that Square MNOP with vertices M(-7,-4), N(-4,-3), O(-3, -6), and P(-6, -7): k = 2
Calculate the image of the scaled copy
helpppppppppppppppppppppppppppppppppppppp
Answer:
the last one
Step-by-step explanation:
there is no rhythm
pls help me solve this
The results of operations between vectors are, respectively:
Case A: u + w = <- 3, - 1>
Case B: - 6 · v = <6, 6>
Case C: 3 · v - 6 · w = <- 21, - 15>
Case D: 4 · w + 3 · v - 5 · u = <39, 4>
Case E: |w - v| = √(4² + 3²) = 5
How to determine the operations between vectors
In this problem we must determine the operations between vectors, this can be done by following definitions:
Vector addition
v + u = (x, y) + (x', y') = (x + x', y + y')
Scalar multiplication
α · v = α · (x, y) = (α · x, α · y)
Norm of a vector
|u| = √(x² + y²)
Now we proceed to determine the result of each operation:
Case A:
u + w = <- 6, - 3> + <3, 2>
u + w = <- 3, - 1>
Case B:
- 6 · v = - 6 · <- 1, - 1>
- 6 · v = <6, 6>
Case C:
3 · v - 6 · w = 3 · <- 1, - 1> - 6 · <3, 2>
3 · v - 6 · w = <- 3, - 3> + <- 18, - 12>
3 · v - 6 · w = <- 21, - 15>
Case D:
4 · w + 3 · v - 5 · u = 4 · <3, - 2> + 3 · <- 1, - 1> - 5 · <- 6, - 3>
4 · w + 3 · v - 5 · u = <12, - 8> + <- 3, - 3> + <30, 15>
4 · w + 3 · v - 5 · u = <39, 4>
Case E:
|w - v| = |<3, 2> - <- 1, - 1>|
|w - v| = |<4, 3>|
|w - v| = √(4² + 3²) = 5
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An object was launched off the top of a building. The function f(x)=−16x ^2+16x+96 represents the height of the object above the ground, in feet, x seconds after being launched. Find and interpret the given function values and determine an appropriate domain for the function.
f(-2) = 0, meaning that -2 seconds after the object was dropped, the object was 0 feet above the ground. This interpretation makes sense in the context of the problem.
f(0.5) = 100, meaning that 0.5 seconds after the object was dropped, the object was 100 feet above the ground. This interpretation makes sense in the context of the problem.
f(6) = -576, meaning that 6 seconds after the object was dropped, the object was -576 feet above the ground. This interpretation does not make sense in the context of the problem.
Based on the observations above, it is clear that an appropriate domain for the function is [-2, 0.5].
How to evaluate the function?Based on the information provided, the height h (in meters), of this object during its launching with respect to time can be modeled by this quadratic function:
f(x) = -16x² + 16x + 96
when x = -2, the height function is given by:
f(-2) = -16(-2)² + 16(-2) + 96
f(-2) = -64 - 32 + 96
f(-2) = 0.
When x = 0.5, the height function is given by:
f(0.5) = -16(0.5)² + 16(0.5) + 96
f(0.5) = -4 + 8 + 96
f(0.5) = 100 feet.
When x = 6, the height function is given by:
f(6) = -16(6)² + 16(6) + 96
f(6) = -576 + 96 + 96
f(6) = -384.
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Write 28 + 24 as a product of two factors using the GCF
and the distributive property.
28 24
Answer:
4(7 + 6)
Step-by-step explanation:
28 + 24
GCF of 28 and 24 is 4
4 (7 + 6)
I hope this helps!
According to the CDC, only 20% of Americans get enough exercise each week. You conduct a survey of 200 people.
a. What is the probability that 45 or more people in your survey get enough exercise? Use a normal approximation for p hat
b. Find the exact binomial probability that 45 or more people in your survey get enough exercise.
The exact binomial probability that 45 or more people in the survey get enough exercise is 0.0853.
What is mean?The mean (also called the arithmetic mean or average) is a measure of central tendency that represents the typical or average value of a set of data. The mean is calculated by summing up all the values in the data set and dividing by the number of values.
According to question:a. To calculate the probability that 45 or more people in the survey get enough exercise using a normal approximation for p hat, we need to first find the mean and standard deviation of the sample proportion.
The mean of the sample proportion is:
μ = p = 0.20
The sample proportion's standard deviation is:
σ = √[(p(1-p))/n] = √[(0.20)(0.80)/200] = 0.034
Using the normal distribution with a continuity correction, we can find the probability of 45 or more people getting enough exercise:
z = (45 - 0.20200 + 0.5) / √(0.200.80*200) = 1.24
P(Z > 1.24) = 0.1082
Therefore, the probability that 45 or more people in the survey get enough exercise is approximately 0.1082.
b. To find the exact binomial probability that 45 or more people in the survey get enough exercise, we can use the binomial cumulative distribution function (CDF) with n = 200 and p = 0.20:
P(X ≥ 45) = 1 - P(X < 45) = 1 - binomcdf(200, 0.20, 44) = 0.0853
Therefore, the exact binomial probability that 45 or more people in the survey get enough exercise is 0.0853.
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In a certain chemical, the ratio of zinc to copper is 3 to 17. A jar of the chemical contains 799 grams of copper. How many grams of zinc does it contain?
Answer:
let's see what to do buddy...
Step-by-step explanation:
\( \frac{zinc}{copper} = \frac{3}{17} \\ \\ \frac{zinc}{799} = \frac{3}{17} \)
Multiply the sides of the equation by 799
\(zinc = \frac{3}{17} \times 799 \\ \\ zinc = \frac{3}{17} \times 17 \times 47 \\ \\ zinc = 3 \times 47 = 141 \)
So A jar of the chemical contains 141 grams of zinc.
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Evaluate 24 = (8-2).
Answer:
24 ÷ ( 8 - 2 )
= 24 ÷ 6
= 4
so, 4 is the answer
Answer:
on your question it says “=“ but on the picture it says “÷”
so for 24=(8-12) it would be 30
and for 24÷ (8-12) it would be -6
Step-by-step explanation:
Hope this helps, have a good day
The probability of winning a certain game is 0.5. If at least 70 percent of the games in a series of n games are won, the player wins a prize. If the possible choices for n are
n=10, n=20, and n=100,
which value of n should the player choose in order to maximize the probability of winning a prize?
a. n=10 only
b. n =20 only
c. n = 100 only
d. n =10 or n =20 only; the probabilities are the same.
e. n=10 or n=20 or n=100 ; the probabilities are the same.
The probability of winning a prize remains the same for,
e. n = 10 or n=20 or n = 100; the probabilities are the same.
What is the binomial theorem on probability?In an experiment with two possible outcomes, the likelihood of exactly x successes on n repeated trials is known as the binomial probability (commonly called a binomial experiment).
From the information we get,
p = 0.5, So, q = 1 - 0.5 = 0.5.
If 70% of 'n' games are won then 30% of n games must be lost.
Let n = 10.
∴ \(P(x = 3) = ^{10}C_3p^7q^3\).
\(P(x = 3) = ^{10}C_3(0.5)^7(0.5)^3\).
P(x = 3) = 120×0.0078×0.125.
P(x = 3) = 0.117 Or 11.7% chance.
Now, Changing the value as all the 'n's are multiple of 10 and we'll have the same probability.
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3(5x - 2) - 6x = 3(3x + 2)
Answer:
x=12
Step-by-step explanation:
does the graph represent a function?
Answer:
No
Step-by-step explanation:
fails the vertical line test, a test to see if a vertical line can touch 2 points on a graph at the same time.
find the standard form of the equation of the parabola satisfying the given conditions Focus: (-6,5). Directrix: y = 3
We are given the focus of the line = (-6, 5)
Directrix y = 3
h = -6, k = 5 and y = 3
We know that the vertex of the parabola is half way between the focus and the directrix
Therefore, vertex h, k = (0, 0)
\(\begin{gathered} \text{The standard form of the equation of the parabola is} \\ (x-h)^2\text{ = 4p(y - k)} \\ y\text{ = k - p} \\ To\text{ find p, substitute the value of y and k} \\ h\text{ = 0 and k = }0 \\ 3\text{ = 0 - p} \\ 3\text{ = -p} \\ 3\text{ = -p} \\ p\text{ = }-3 \\ (x-0\rbrack^2\text{ = 4 x (-3)( y - 0)} \\ (x-0)^2\text{ = 8=-12(y - 0)} \\ \text{Expand the parentheses} \\ (x\text{ - 0) (x - 0) = -12y }+0 \\ x\cdot x\text{ = -12y + }0 \\ x^2\text{ = -12y + }0 \\ x^2\text{ = -12y - }0 \\ x^2\text{ = }-12y \\ y\text{ = }\frac{x^2}{-12} \\ y\text{ = (-}\frac{1}{12})x^2 \\ \end{gathered}\)\(\begin{gathered} (x-0)^2\text{ = 4 x -3( y - 0)} \\ (x-0)^2\text{ = -12(y - 0)} \end{gathered}\)A 12-ounce sports drink costs $0.99, and a 16-ounce sports drink costs $1.19. Which size is the best buy?
Answer:
The best buy is the 16-ounce drink
Step-by-step explanation:
here, we see that,
12 ounce = 3/4 (16 ounce)
So, the price should reflect that,
i.e,
price of 12 ounce drink = 3/4 (price of 16 ounce drink)
By this metric,
Price of 12 ounce drink = 3/4 ( 1.19)
Price of 12 ounce drink = $0.8925
So, 12-ounce drink should cost $0.8925 but the actual drink costs $0.99,
So, it is more expensive than it should be,
So, the best buy is the 16-ounce drink
Someone help me with this!!!!.... Given f(x)=x^2−3x−4
and g(x)=|x+3|−2, which value is a solution to the equation f(x)=g(x) ?
A
−4
B
−3
C
−1
D
4
Answer:
C -1
Step-by-step explanation:
in such a case the simplest way is to simply try the 4 numbers and see :
x² - 3x - 4 = |x + 3| - 2
x² - 3x - 2 = |x + 3|
A x = -4
(-4)² - 3×-4 - 2 = |-4 + 3|
16 + 12 - 2 = 1
26 = 1
wrong.
B x = -3
(-3)² - 3×-3 - 2 = |-3 + 3|
9 + 9 - 2 = 0
16 = 0
wrong.
C x = -1
(-1)² - 3×-1 - 2 = |-1 + 3|
1 + 3 - 2 = 2
2 = 2
correct.
D x = 4
4² - 3×4 - 2 = |4 + 3|
16 - 12 - 2 = 7
2 = 7
wrong.
7. A floor is covered by 800 tiles measuring 10 squared cm. How many square tiles of side 8 cm would be needed to cover the same floor?
Answer:
1000 tiles
Step-by-step explanation:
Determine total floor space
800 x 10 = 8000 squared cm total floor space.
Divide floor space by size of tile
8000 / 8 = 1000 tiles now required to cover the floor.
What is the final price of an item discounted at 45% off that normally sells for $65?
Answer:
$30.75
Step-by-step explanation:
$65 * .45 = $29.25
$60 - $29.25 = $30.75
Which of these coordinates would represent the intercepts of the graph of the function f(x)=3x-9
Answer:
(0,-9) and (3,0)
Step-by-step explanation:
Hosting a dinner party for 38 people, you plan to serve peach pie for desert.
Each pie has 8 slices.
How many slices are in each pie?
Answer:
40 slices
Step-by-step explanation:
I rounded 38 to 40 and divided by 8
Statisticians prefer large samples. Describe briefly the effect of increasing the size of a sample (or the number of subjects in an experiment) on each of the following:
1. Increases
2. Decreases
3. Unaffected
A. The margin of error of a 95% confidence interval.
B. The P-value of a test, when H0 is false and all facts about the population remain unchanged as n increases.
C. The power of a fixed level test when the alternative hypothesis, and all facts about the population remain unchanged.
Answer:
Margin of Error decreases
Pvalue decreases
Power increases
Step-by-step explanation:
The margin of error decreases as sample size increases given the same level of confidence, hence, the interval gets narrower.
The margin of error = (Zcritical * σ/√n) ; where, n is the denominator, as the denomination increases, the obtained value will decrease, hence, the margin of error.
When we have a false H0, then we expect a statistical result which will reject H0, with all facts remaining unchanged , increase in sample size n, will lead to decrease in Pvalue, because a lower P value increases the significance of statistical test needed to reject H0.
The power of a fixed level test when the null hypothesis is true, higher power is required to reject the null , increasing n will increase the probability of rejecting H0, by increasing the power of a fixed level test.
Two cities are 5 3/4 inches apart on a map. The map scale says that 1/2 inch= 10 miles. How many miles
apart are two cities?
Answer:
900 Miles
Step-by-step explanation:
Since 1 inch = 200 miles, then ....
4.5 inches * (200 miles / 1 inch) = (4.5 inches * 200 miles) / (1 inch) = 900 miles
OR
1 / 200 : 4.5 / m ==> 1 * 4.5 / 200 * 4.5 = 4.5 / 900 ==> m = 900
Thus, the actual distance between the two cities is 900 miles.
Sandy's Snow Cone Shoppe has asked you to create a cone for their new Brain Freeze-sized snow cone. They have requested that the cone be at least 300 cubic inches in size with a height of 8 inches. Solve for the radius of the snow cone and round to the nearest inch.
The volume of the cone is given by the formula:
\(V=\frac{\pi r^2h}{3}\)Where:
r = radius
h = height = 8 inches
V = 300 cubic inches
π = 3.14
Substitute the values:
\(300=\frac{(3.14)r^2(8)}{3}\)And solve for r:
\(\begin{gathered} \frac{300\times3}{3.14\times8}=r^2 \\ 35.828=r^2 \\ r=\sqrt{35.828} \\ r=5.98\approx6 \end{gathered}\)Answer: the radius is 6 inches
Which of the following shows 2.736 correctly rounded to the tenths place?
Answer:
2.7 is the correct answer
Step-by-step explanation:
Answer:
2.7
Step-by-step explanation:
Solve for x in the equation e2x = e7x−5.
The value of x in the equation e^2x = e^7x−5 is 1
How to solve for x in the equation?The equation is given as:
e^2x = e^7x−5.
Next, we compare the exponents
2x = 7x - 5
Evaluate the like terms
-5x = -5
Divide by -5
x = 1
Hence, the value of x in the equation e^2x = e^7x−5 is 1
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The length of a rectangle is 4 inches longer than it is wide. If the area is 32 square inches, what are the dimensions of the rectangle?
Answer:
width = 4in
length = 8in
Step-by-step explanation:
A = LxW = 32
L = W + 4
W(W+4) = 32
W² + 4W - 32 = 0
(W + 8)(W - 4) = 0
W ≠ -8 (dimensions cannot be negative)
W = 4in
L = W+4 = 4+4 = 8in
yall can u help out whts 2(2/9) = (-4/5m)
Answer:
Step-by-step explanation:
(2/1)(2/9) = (-4/5m)
4/9 = (-4/5m)
(-5/4)4/9 = ((-4/5)(-5/4))m cancel out common factor on both sides
-5/9 = M or M = -5/9 use symmetric property of equality either one is fine for answer.
I need some assistance please and thank you
Answer:
what is your question thought
Express the function G in the form f ∘ g ∘ h
G(x) = 3/(7+√x)^2