The solution to the equation 8z = 4x - 32 is z = -4 and x = 8.
What is equation?An equation is a mathematical statement that states that two expressions are equal. It consists of an equals sign and two expressions, one on each side of the equals sign. Equations are used to solve for the value of the unknown expressions, and can be used to solve problems in various fields such as physics, chemistry, engineering, and mathematics.
1. Start by isolating the z variable by subtracting 4x from both sides of the equation. This will give us: 8z = -32.
2. Divide both sides of the equation by 8. This will give us: z = -4.
3. Finally, substitute z = -4 into the original equation and solve for x. This will give us: 4x = 32, so x = 8.
Therefore, the solution to the equation 8z = 4x - 32 is z = -4 and x = 8.
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Complete questions as follows-
8z = 4x - 32
Please explain step by step how to solve 8z = 4x - 32.
I need urgent help with this pls
A national publication showed the following distribution of favorite class subjects for high school students.
Math: 5% English: 14% Social Studies 28%: PE: 26% Music: 20% Other: 7&
Pasquale, a student from a high school of 1,200 students, wants to see whether the distribution at his school matches that of the publication. He stands at the school entrance in the morning and asks the first 40 students he sees what their favorite class is. Pasquale records the following table of observed values.
Math: 7 English: 8 Social Studies: 7: PE: 6 Music: 6 Other: 6
He decides to conduct a chi-square goodness-of-fit test to see whether his high school's distribution differs significantly from that of the publication. Pasquale’s statistics teacher tells him that his information does not meet the conditions necessary for a goodness-of-fit test. Which condition has not been met?
I. Data are collected using a random sample or randomized experiment
II. n≤0.10N
III. All expected counts are greater than 5.
A) I only
B) II only
C) III only
D) I and III only
E) I and II only
Answer:
D) I and III only
Step-by-step explanation:
It was never specified if the sample was random, but the method of sampling was not random. So I must be true, eliminating B and C. Additionally, not all the expected counts are greater than 5 as 40(0.05)<5, 40(0.14)>5, 40(0.28)>5, 40(0.20)>5, 40(0.26)>5, 40(0.20)>5, and 40(0.07)<5. Therefore, D is the only correct answer.
2+2........................
Answer:
omg its 4
Step-by-step explanation:
But can you help me on my question?
what is the area of the figure?
Answer:
Answer is 4.
Step-by-step explanation:
Why?
Heres the explanation:
1, 1, 1, 1, = 4
Cheers :)
An architect is designing a circular window to be installed in the
gable of a house. The metal window frame will be 1 foot wide and will be bordered by
the roof above and a wood beam below. The distance from the center of the window to the roof is 3 feet. What will be the circumference of the circular glass pane that will be
needed?
Answer:
12.57 ft
Step-by-step explanation:
First thing we need to find is the radius of the circular glass pane. We are given the information that the center of the glass plane is directly in the center of the triangle and that the closest distance from the center to the roof is 3 ft, including a metal border with a width of 1 ft.
Since the metal frame is the same width all the way around the window, we can safely conclude that the radius of the circular glass pane is 2 ft, as the 3ft measurement included the radius and the metal frame.
Now that we have our radius we can use the formula:
[tex]C=2\pi r[/tex] (Circumference = 2 x pi x radius)
Using 3.14 for pi we get:
[tex]C=2(3.14)(2)[/tex]
[tex]C=4 \pi[/tex] or 12.57 ft (2.d.p)
Using the net below, find the surface area
of the pyramid.
2 lin.
3 in.
|3 in.
Surface Area
=
[?] in.2
Answer:
i think 18 i just did that yesterday
6th grader who needs help :( anyone know?
Answer:
B. 4
Step-by-step explanation:
Create an equation:
80 = 18x+8
Solve for x by subtracting both sides by 8:
80-8 = 18x+8-8
72 = 18x
Divide both sides by 18:
72/18 = 18x/18
4 = x
4 is the greatest number of DVDs she can buy.
Antonio Ruiz pays a monthly premium of $175 for health insurance. He can purchase dental care and vision
care insurance for his family at an additional cost. The dental premium is $595 and the vision premium is
$195 per year. What is his total monthly premium for all his insurance?
$256.12
$240.83
b. $527.12
d. $238.41
help me pls
Angle Relationships
As a result, the answer to the given angle problem can be found by comparing the position, measurement, and congruence of two or more angles.
Define angle.When two lines come together at a common point, an angle is created. They are expressed as a number of degrees, denoted by the symbol °. Acute, right, obtuse, and reflex angles are the other three significant types of angles. 360 degrees make up a circle. A 720° angle indicates that the object has completed two full rotations.
Here,
You can compare angles and take into account their relationships to other angles in addition to calculating degrees or radians.
Since we are comparing the position, measurement, and congruence of two or more angles, we refer to them as having "angle relationships."
For instance, two lines or line segments that cross each other create two pairs of vertical angles.
When a transversal intersects two parallel lines, complex angle relationships, such as alternating interior angles, matching angles, and so forth, result.
As a result, the answer to the given angle problem can be found by comparing the position, measurement, and congruence of two or more angles.
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50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
a=18.7 or 19 rounded up
Step-by-step explanation:
Use Pythagoras Thereom
a^2=8^2+17^2
a^2=64+289
a^2=353
√353
a=18
Answer:
The length of missing leg is 15 cm.
Given ABCD…. Please I need help ASAP.
please help will give brainliest
Answer:
2112
Step-by-step explanation:
we find the area of the base first
which is 16*12/2 because it is a right triangle
16*12/2 = 96
then we multiply the base by the height
22*96 = 2112
as a note, remember, prism volume is all base * height
brainliest if this was helpful
Use the drawing tools to form the correct answer on the graph.
Plot function g on the graph.
On solving the provided question, we cans ay that - in given inequality equation to -7 < x < -2; -2 < x < 3
What is inequality?A connection between two expressions or values that is not equal in mathematics is referred to as an inequality. Inequality results from an imbalance, thus. In mathematics, an inequality establishes the relationship between two values that are not equal. Egality is not the same as inequality. Use the not equal symbol () in most cases when two values are not equal. To contrast values, whether they are tiny or huge, different inequalities are employed. By adjusting both sides until just the variables are left, you may eliminate many straightforward inequalities. However, several factors cause inequality: Divide or add negative values on both sides. Switch the left and right.
-7 < x < -2
-2 < x < 3
and 3 > x > 8
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Suppose you have a rectangular flower bed whose area is 24ft^2 . The shortest side is (x-4) feet and the longest side is (2x) feet. Find the length of the shortest side.
Answer:
the short side is equal to 2 feet
Step-by-step explanation:
24 = (2x)*(x-4) = 2x² -8x
you'll just use solve on your calculator and get that the x is equal to -2 or 6
which means the short side must be equal to 2
Answer:
2 ftStep-by-step explanation:
Sides are:
x - 4 and 2xThe area is the product of the long and short sides:
2x(x - 4) = 24x(x - 4) = 12x² - 4x = 12x² - 4x + 4 = 16(x - 2)² = 4²x - 2 = 4x = 6The short side is:
x - 4 = 6 - 4 = 2 ftplzzz I need the answer with full solution. *FIND THE SQUAER ROOT OF 2119936 BY DIVISION METHOD*. plzz help me with this question plzzzzzzzzz!.
Answer:
√2119936=1,456
Step-by-step explanation:
The Chess Club president brought donuts to the club meeting each week. As the club grew, more donuts were needed so that each member could have a donut. The table below shows the ratios of boxed donuts to the cost.
Donuts A 4 5 C
Cost 13.80 27.60 B 55.20
Determine which table has the correct values for A, B, and C.
Donuts 3 4 5 7
Cost 13.80 27.60 34.95 55.20
Donuts 2 4 5 8
Cost 13.80 27.60 34.95 55.20
Donuts 3 4 5 6
Cost 13.80 27.60 34.50 55.20
Donuts 2 4 5 8
Cost 13.80 27.60 34.50 55.20
The table with correct values of A, B and C is,
⇒ Donuts 2 4 5 8
Cost 13.80 27.60 34.50 55.20
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
We have to given that;
The table below shows the ratios of boxed donuts to the cost.
Donuts A 4 5 C
Cost 13.80 27.60 B 55.20
Now, By definition of ratio, we get;
⇒ A / 13.80 = 4 / 27.60
⇒ A = 13.80 × 4 / 27.60
⇒ A = 2.00
And,
⇒ 4 / 27.60 = 5 / B
⇒ B = 5 × 27.60 / 4
⇒ B = 34.5
⇒ 4 / 27.60 = C / 55.20
⇒ C = 55.20 × 4 / 27.60
⇒ C = 8
Thus, The table with correct values of A, B and C is,
⇒ Donuts 2 4 5 8
Cost 13.80 27.60 34.50 55.20
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Answer:
a
Step-by-step explanation:
i took the test :)
A store is having a sale on chocolate chips and walnuts. For 4 pounds of chocolate chips and 8 pounds of walnuts, the total cost is $33. For 2 pounds of chocolate chips and 3 pounds of walnuts, the total cost is $13.
Find the cost for each pound of chocolate chips and each pound of walnuts.
Answer:
chocolate chip 7
walnuts 3.5
Step-by-step explanation:
assume x=chocolate chips
y=walnuts.
equation
4x + 8y=33
(2x+3y=13)×2
new eq
4x + 8y=33
4x + 6y=26
------------------
2y=7
y=7/2
4x+ 8y = 33
4x + 8(7/2)= 333
4x= 33-28
x=7.00
List the integers that satisfy both these inequality. 2x+9<0 x>-12
Answer:
Given:
2x + 9 < 0 ⇒ 2x < - 9 ⇒ x < - 4.5x > -12Combined we have:
-12 < x < - 4.5The integers in the same interval are:
x ∈ {-11, -10, -9, -8, -7, -6, -5}The table describes the quadratic function p(x).
x p(x)
−1 10
0 1
1 −2
2 1
3 10
4 25
5 46
What is the equation of p(x) in vertex form?
p(x) = 2(x − 1)2 − 2
p(x) = 2(x + 1)2 − 2
p(x) = 3(x − 1)2 − 2
p(x) = 3(x + 1)2 − 2
The equation of p(x) in vertex form is p(x) = 3(x - 1)² - 2.
Option C is the correct answer.
What is a polynomial?Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
We have,
From the table,
From p(x) = 10 to p(x) = -2 the value of p(x) is decreasing and from p(x) = -2 to p(x) = 46 it is increasing.
So,
The vertex is (1, -2).
The vertex form of p(x).
p(x) = a ( x - h)² + k
Where (h, k) is the vertex.
Now,
(1, -2) = (h, k)
Make (0, 1) = (x, p(x))
1 = a (0 - 1)² + (-2)
1 = a - 2
a = 1 + 2
a = 3
Thus,
The vertex equation of p(x).
p(x) = 3(x - 1)² - 2
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Adrian bought a jacket that costs 11 dollars and a scarf that costs 15 dollars. At the counter, he received a discount. If he only paid 22 dollars total, how many dollars was the discount?
There was 4 dollar of discount on the total amount.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We are given that Adrian bought a jacket that costs 11 dollars and a scarf that costs 15 dollars.
At the counter, he received a discount. If he only paid 22 dollars total, then
Total cost 11 + 15 = 26
But 26 - 22 = 4
Therefore, the discount was 4 dollar.
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If 20 articles cost ? 90, then the cost of 9 articles is ?
? 45
? 4.50
? 40.50
? 42
Answer:
40.50 is correct answer according to me
Each scoop radius (center to surface) is 3 cm long. What should be the capacity (volume) of the cylindrical container the shop pack the ice cream to take out? *
Answer:
[tex]28.26h\ cm^3[/tex]
Step-by-step explanation:
The radius of the cylinder, r = 3 cm
We need to find the volume of the cylindrical container the shop pack the ice cream to take out.
The volume of a cylinder is given by :
[tex]V=\pi r^2 h\\\\=3.14\times 3^2h\\\\=28.26h\ cm^3[/tex]
So, the volume of the cylindrical container is [tex]28.26h\ cm^3[/tex].
Consider the inequality x > - 1.5. determine whether each value of x makes this inequality true
9514 1404 393
Answer:
no, yes, yes, no, yes
Step-by-step explanation:
You're looking for values greater than -1.5. All positive numbers will be greater than any negative number.
The two negative numbers among the answer choices are both to the left of -1.5 on the number line. They are less than -1.5, so are not greater than -1.5.
The negative numbers are No; the positive numbers are Yes.
Help please will mark brainliest!
Answer:
Option B. Cosec θ = –5/3
Option C. Cot θ = 4/3
Option D. Cos θ = –4/5
Step-by-step explanation:
From the question given above, the following data were obtained:
Tan θ = 3/4
θ is in 3rd quadrant
Recall
Tan θ = Opposite / Adjacent
Tan θ = 3/4 = Opposite / Adjacent
Thus,
Opposite = 3
Adjacent = 4
Next, we shall determine the Hypothenus. This can be obtained as follow:
Opposite = 3
Adjacent = 4
Hypothenus =?
Hypo² = Opp² + Adj²
Hypo² = 3² + 4²
Hypo² = 9 + 16
Hypo² = 25
Take the square root of both side
Hypo = √25
Hypothenus = 5
Recall:
In the 3rd quadant, only Tan is positive.
Therefore,
Hypothenus = –5
Finally, we shall determine Sine θ, Cos θ, Cot θ and Cosec θ to determine which option is correct. This can be obtained as follow:
Opposite = 3
Adjacent = 4
Hypothenus = –5
Sine θ = Opposite / Hypothenus
Sine θ = 3/–5
Sine θ = –3/5
Cos θ = Adjacent / Hypothenus
Cos θ = 4/–5
Cos θ = –4/5
Cot θ = 1/ Tan θ
Tan θ = 3/4
Cot θ = 1 ÷ 3/4
Invert
Cot θ = 1 × 4/3
Cot θ = 4/3
Cosec θ = 1/ Sine θ
Sine θ = –3/5
Cosec θ = 1 ÷ –3/5
Invert
Cosec θ = 1 × –5/3
Cosec θ = –5/3
SUMMARY
Sine θ = –3/5
Cos θ = –4/5
Tan θ = 3/4
Cot θ = 4/3
Cosec θ = –5/3
Therefore, option B, C and D gives the correct answer to the question.
18
H
Ε
5
8
10
12
P
12
R
Similar or not similar?
[ Select]
Why?
[ Select)
V
A bakery sold a total of 500 cupcakes in a day, and 360 of them were mocha flavored.
What percentage of cupcakes sold that day were mocha flavored?
Answer:
72%
Hope this Helps! :)
Answer:
72%
Step-by-step explanation:
360. X
500. 100
you times 360 with 100= 36,000 then u divide by 500= 72%
Find the missing angle. Find x.
A spinner is divided into five colored sections that are not of equal size: red, blue,
green, yellow, and purple. The spinner is spun several times, and the results are
recorded below:
Spinner Results
Color Frequency
Red
12
Blue
17
Green 17
Yellow 12
Purple 17
If the spinner is spun 500 more times, about how many times would you expect to
land on blue? Round your answer to the nearest whole number,
do two rectangle prisms have the same volume? Sometimes, always, never. Pls explain! Giving brainlyst :3
Answer:
It is a known fact that there are rectangular prisms with the same volume but different dimensions.
This circle is centered at the origin, and the length of its radius is 4. What is
the circle's equation?
5+
4
-5
5
-5-
A. x2 + y2 =16
B. x + y = 4
C. X6 + y = 4
D. x2 + y2 = 4
A. x2+y2=16 I just did this question.
Consider the given functions.
х
f(x)
h(x)
A
-2
48
4
-1
24
2
0
12
g(x) = 2* - 5
1
6
-4
IX
d
2
2
3
1.5
3
Select the true statement regarding the end behavior of the functions.
ОА.
As the value of x increases, g is the only function to approach 0.
As the value of x increases, fand h both approach positive infinity
OB.
Ос.
As the value of x increases, fis the only function to approach o.
As the value of x increases, fand g both approach positive infinity
D
Answer:
d
Step-by-step explanation:
The as the value of x increases, f and g both approach positive infinity.
What are Functions?
Functions describe relationship between set of variables.
The given g function, g(x)g(x) = 2ˣ - 5
As the values of x increases, the value of g increases to positive infinite.
The given f function, f(x)From the given table of function f, as the value of x increases, f approaches positive infinity.
Thus, the as the value of x increases, f and g both approach positive infinity.
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