4(2x-5) is the answer
answer: 4(2x - 5)
explanation: if you don’t know how to factor gcf, look it up. But you need to find the gcf of 8 and 20 which is 4. Then you just get your answer. Sorry this is hard to explain but a tip is to distribute and check to see that it matches the original problem to find out if your answer is right. I will do that for this. 4(2x - 5) I use distributive property here meaning I distribute the 4 to both terms. 4 times 2x is 8x. 4 times negative 5 is negative 20. That leaves me with the original equation 8x - 20 so the answer is correct.
Please answer fast!
A cubed-shape container has an edge length of 8 cm. The container is filled with decorative crystal cubes. Each cube has an edge of 1 cm and costs 5¢. What is the total cost of the crystal cubes in the container?
Answer:
[tex]\$25.60[/tex]
Step-by-step explanation:
step 1
Find the volume of the container
The volume is equal to
[tex]V=8^{3}=512\ cm^{3}[/tex]
step 2
Find the volume of the crystal cube
The volume is equal to
[tex]V=1^{3}=1\ cm^{3}[/tex]
step 3
Find the total number of crystal cubes in the container
Divide the volume of the container by the volume of the crystal cube
so
[tex]512/1=512\ crystal\ cubes[/tex]
step 4
Find the cost
Multiply the number of crystal cubes by $0.05
[tex]512*0.05=\$25.60[/tex]
in the diagram below angles J K L and L km are supplementary measure angle jkl equals 2x + 4 degrees and measure angle L km equals x + 26 degrees what is M angle jkl
Answer: 104°
Step-by-step explanation:
Since ∠JKL and ∠LKM are supplementary, then their sum is 180°.
∠JKL + ∠LKM = 180
2x + 4 + x + 26 = 180
3x + 30 = 180
3x = 150
x = 50
∠JKL = 2x + 4
= 2(50) + 4
= 100 + 4
= 104
A rectangular prism has a length of 4 1/4 in a width of 3 in, and a height of 1 1/4 in.
Vhich expressions can be used to find the volume of the prism? Send Help!!
Answer:
4 1/4 × 3 × 1 1/4
Step-by-step explanation:
To find volume you need to do length×width×height
The expression which can be used to find the volume of the rectangular prism is, Volume = l × w × h
What is rectangular prism ?
If a three dimensional prism has 6 rectangular faces such that all 3 pair of opposite faces are congruent.
The three dimensions of a rectangular prism are length, width and height.
What is the formula of volume of a rectangular prism ?Let, length of rectangular prism = l unit
Width of rectangular prism = w unit
And the height of rectangular prism = h unit
Then, Volume of rectangular prism = Length × Width × Height
= l × w × h cubic unit
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33/25 as a percentage
Answer: 132%
Step-by-step explanation:
which graph shows a proportional relationship?
Answer:
The bottom left
Step-by-step explanation:
As one variable increases so does the other and it goes through the origin.
If x=17, then 27+x=y.
What does y equal?
Answer:
44=y
Step-by-step explanation:
27+x=y
We know x = 17, so we can substitute x=17 into the equation
27 + 17 = y
44=y
Answer:
[tex]y=44[/tex]
Step-by-step explanation:
Substitute 17 for x in the equation since [tex]x=17[/tex]
[tex]27+(17)=y[/tex]
[tex]44=y[/tex]
a triangle garden is being formed with stones. the three sides measure 4 meters by 6 meters by 7 meters. which of the following is a true statement about the side of the triangle?
The true statement is the side lengths will form a triangle because 6+7>4. So option (d) is correct.
To determine if the given side lengths can form a triangle, we need to apply the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Let's denote the side lengths as follows:
a = 4 meters
b = 6 meters
c = 7 meters
We'll check each possible combination:
1. \( a + b > c \): \( 4 + 6 > 7 \) (True)
2. \( a + c > b \): \( 4 + 7 > 6 \) (True)
3. \( b + c > a \): \( 6 + 7 > 4 \) (True)
Since all three conditions are true, the given side lengths (4, 6, 7 meters) can indeed form a triangle.
Thus, the correct option is D. The side lengths will form a triangle because 6 + 7 > 4.
Complete Question:
A triangular garden is being formed with stones. The three sides measure 4 meters by 6 meters by 7 meters. Which of the following is a true statement about the side lengths of the triangle?
A. The side lengths will not form a triangle because 6+4>7.
B. The side lengths will form a triangle because 4+6<7.
C. The side lengths will not form a triangle because 7+4<6.
D. The side lengths will form a triangle because 6+7>4.
The floor of a round hut has a diameter of 4 meters. What is the floor's circumference? Use 3.14 for .
Answer:
12.56
Step-by-step explanation:
C= 2 x 3.14 x 2
(the other 2 is half of the circumference)
To find the circumference of a round hut floor with a diameter of 4 meters, use the formula Circumference = π x Diameter, resulting in 12.56 meters.
The circumference of a round hut with a floor diameter of 4 meters can be calculated using the formula Circumference = π x Diameter.
Given Diameter = 4mUsing π ≈ 3.14, Circumference = 3.14 x 4 = 12.56 metersWhat is the solution to the equation 4x + 2(x – 3) = 3x + x – 12? (1 point)
–3
–1
1
3
I got -1 but im not sure
heres my work
4x + 2(x – 3) = 3x + x – 12
4x + 2x - 6 = 3x + x - 12
6x -6 = 3x = 3x + x - 12
6x = 3x = 4x - 18
9x = 4x - 18
13x = -18
18 ÷ 13
make it negative
The answer is -3, let me know if you want me to give you the steps
The answer would be -3
8.......................
Answer:
b
Step-by-step explanation:
Answer:
a. [tex]8^{8}\sqrt{8}[/tex]
Step-by-step explanation:
The given expression is
[tex]\sqrt{8^{17}}[/tex]
We rewrite the radicand to obtain;
[tex]\sqrt{8^{16}\times 8}[/tex]
Split the radicand;
[tex]\sqrt{8^{16}}\times \sqrt{8}[/tex]
[tex]\sqrt{(8^{8})^2}\times \sqrt{8}[/tex]
[tex]8^{8}\sqrt{8}[/tex]
the height of a triangle is twice the length of its base. The area of the triangle is 50 m^2. Find the height and base to the nearest tenth of a meter
Answer:
base = 7.1 m and height = 14.2 mStep-by-step explanation:
The formual fo ana area of a triangle:
[tex]A=\dfrac{bh}{2}[/tex]
b - base
h - height
We have A = 50 cm² and h = 2b. Substitute:
[tex]\dfrac{(b)(2b)}{2}=50\\\\b^2=50\to b=\sqrt{50}\ m\to b\approx7.1\ m\\\\h=2b\to h=2(7.1)=14.2\ m[/tex]
To find the height and base of the triangle with an area of [tex]50 m^2[/tex]and the height being twice the base, we use the area formula[tex]A = (base imes height) / 2,[/tex] solve for the base, and double it to find the height. The base is approximately 7.1 m, and the height is approximately 14.1 m.
The question seeks the height and base of a triangle whose area is 50 [tex]m^{2}[/tex] and the height is twice the length of its base. The area of a triangle can be calculated using the formula A = [tex](base imes height) / 2.[/tex] Since the height is twice the base, we can say the height is 2b, where b is the base.
Plugging into the formula for the area of a triangle, we get:
Area, A = 50 m2
[tex]A = (b imes 2b) / 2[/tex]
50 = b2
b = \/50
b \/= 7.1 m (to the nearest tenth)
[tex]Height (h) = 2 imes b = 2 imes 7.1 m[/tex]
h = 14.1 m (to the nearest tenth)
Therefore, the base of the triangle is approximately 7.1 m and the height is approximately 14.1 m.
What does the line ] 5x+2y=8 5 x + 2 y = 8 look like?
it looks like somebody else is already answering this for you, but if you are in need of an answer for a question like this fast just go to desmos.com and input your function it will show you what the graph will look like
If a+b+c=8 and x+y=7 what is -8y-2c-2b-8x-2a
Answer:
-40
Step-by-step explanation:
Try rearranging and factoring -8y-2c-2b-8x-2a:
This is equal to -8(x + y) -2(a + b + c).
Since x + y = 7, we have:
-8(7) -2(a + b + c)
and since a + b + c = 8, we end up with:
-56 - 2(8), or
-56 - 16 = -40
in the function y= -1/2(x-1)^2+3, what effect does the negative sign have on the graph, as compared to the graph of y=x^2?
In the function y= -1/2(x-1)^2+3, the negative sign inverts the graph so that it opens downwards unlike y=x^2 that opens upwards. This is due to the negative slope which implies a descent in the graph when moving left to right, showing a negative correlation between x and y.
Explanation:In the function y= -1/2(x-1)^2+3, the negative sign in front of the fraction plays a vital role in the graph's orientation. Unlike the graph of y=x^2 which opens upwards, the negative sign causes the graph of the given function to open downwards. This occurs because the negative sign affects the slope of the function. Graphically, a negative slope means that as we move from left to right along the graph, it descends; showing a negative correlation between x and y. Thus in the concoction of a graph, when x increases, y decreases, or when x decreases, y increases. This is a fundamental rule in graphing quadratic functions.
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The negative sign in the function [tex]y = -1/2(x-1)^2+3[/tex]inverts the graph compared to[tex]y = x^2[/tex], making the parabola open downwards and indicating a negative relationship between the x and y values.
The negative sign in the function [tex]y = -1/2(x-1)^2+3[/tex] in comparison to the function [tex]y = x^2[/tex]inverts the graph of the parabola. While the graph of[tex]y = x^2[/tex]opens upwards, the negative coefficient causes the graph of the given function to open downwards. This means that instead of the parabola having a minimum point which occurs in [tex]y = x^2[/tex], the parabola will have a maximum point at the vertex (1, 3). As the x-value increases or decreases from the vertex, the y-value will decrease due to the negative sign, indicating that the two variables are negatively related. The general shape of the graph remains a parabola, but it is flipped vertically over the x-axis.
which number is an irrational number A. 0.6 repeating B. 9/27 C.9/16 squared root D. 9/27 square root
Answer:
A - 0.6 repeating
Step-by-step explanation:
An irrational number cannot be written as a fraction - it is a number without end (like a repeating number)
9(6-2v)= -12(v-8)
step-by-step explanation please!
Enter only the value of the variable
Answer:
v = -2.5
Step-by-step explanation:
9(9-2v) = -12(v-8)
81−18v= −12v+96
So move -18v to the other side and change the sign. Same to 96.
81-96 = -12v + 18v
-15 = 6v
v = -2.5
Barry wants to make a drawing that is 1/4 the size of the original. If a tree in the original drawing is 14 inches tall and 5 inches wide, what will be the length and width of the tree in Barry's drawing?
Answer:
I think the answer would be to divide the inches by 4. So Length would be 3.5 inches and width would be 1.25 inches . I might be wrong but if you have no hope I would go with my answer.
Step-by-step explanation:
Answer:
lenght: 3.5 inches.
width: 1.25 inches.
Step-by-step explanation:
You have the following information:
- The drawing must be 1/4 the size of the original drawing.
- The tree in the original drawing is 14 inches tall and 5 inches wide.
Therefore, keeping the above on mind, you can find the length and width of the tree in Barry's drawing by multiplying the original dimensions by 1/4.
Then, you obtain the result shown below:
[tex]lenght=\frac{1}{4}*14in=3.5in\\\\width=\frac{1}{4}*5in=1.25in[/tex]
17=(-14)+K solve for K
Answer:
K=31
Step-by-step explanation:
17=(-14)+K
We want to isolate k
Add 14 to each side
17+14=(-14)+14+K
31 = K
Answer:
k=31
Step-by-step explanation:
What is the area in terms of pi
Answer:
C = 70π cmA = 2,450 cm²Step-by-step explanation:
The perimeter of the given figure is equal to the circumference of whole circle.
The formula of a circumference of a circle:
[tex]C=\pi d[/tex]
d - diameter
We have d = 70 cm. Substitute:
[tex]C=70\pi\ cm[/tex]
The area of given figure is equal to the area of rectangle 70cm × 35cm.
(look at the picture).
The area of a rectangle:
[tex]A=(70)(35)=2,450\ cm^2[/tex]
The area of a circle is given by the formula A = πr², where π represents pi, and r the radius. The area can be left in terms of pi to avoid rounding errors, with the example of a circle with 1.2-meter radius having an area of approximately 4.5 m² when considering significant figures.
The area of a circle is expressed as A = πr², where π (pi) is approximately 3.14159265, and r is the radius of the circle. In terms of pi, this formula is often left in the form of πr² to retain the exact value without rounding. For example, if we have a circle with a radius of 1.2 meters, the area would be calculated as A = π(1.2 m)² = 4.5238934 m² using a calculator with eight-digit precision. However, since the radius is given with two significant figures, the appropriate representation of the area would be A=4.5 m².
It is important to note that when expressing the area in terms of pi, you may encounter different contexts such as finding the area of a semicircle using the definite integral that results in r²/2 for the semicircle's area, or understanding proportionalities in a circle divided into slices.
what is the algebraic expression of 24 decreased by q
Answer:
24-q
Step by Step Explanation :
24 decreased by q is basically saying 24 minus q which is 24-q
What side lengths form a right triangle
Answer:
B and C
Step-by-step explanation:
Use the Pythagorean Theorem a^2+b^2=c^2.
We can see in B that 8^2 is 64 and 15^2 is 225 which adds to 17^2 which is 289.
In C, the sqrt of 2 squared is just 2 and adding that by another sqrt 2^2 results in 4 which is also the value of 2^2.
Answer:(use the Pythagorean formula)
Step-by-step explanation:
Find the two smaller sides. Square each one them add them together. Then square the third side (the biggest side). If your two answers match, it's a right triangle!
Make sure that you don't make the mistake of adding the two smaller sides together before squaring.
need help asap!! plzz
Find 60% of 520 using mental math.
(A)286
(B)312
(C)302
(D)274
Answer: B 312
Step-by-step explanation:i did this before in k12 yep its 312
hope this helps
Eighty-five percent of what number is 25.5?
A.
108
B.
18
C.
21.675
D.
30
The answer is D 30 .85x30=25.5
Answer:
D
Step-by-step explanation:
Answer is D
Which graph shows the equation v = 4 +2t
Answer:
See attached picture
Step-by-step explanation:
This is a linear equation. To graph it, use the model y = mx + b where m is the slope and b is the y-intercept. Here m = 2 and b = 4. Start at the point (0,4) on the y-axis. Mark this point because it is the y-intercept. Then move up 2 units and over 1 to the point (1, 6). Mark this point. And connect. This is the correct graph. See attached picture.
PLZ HELP!!!
Determine if the set of ordered pairs represents a function. Explain why or why not. {(-4, 4), (-2, 2), (0, 0), (-2, -2)}
Answer:
This is a relation not a function
Step-by-step explanation:
This is not a function
The input x=-2 goes to both the output 2 and -2
Each input can only go to one output to be a function
What is the volume of this rectangular prism?
A) 20 in^3
B) 50 in^3
C)220 in^3
D)250 in^3
Are the following statements equivalent?
b<0 and “the numbers a and b are of a different sign.”
Answer:
Yes different signs leads to a negative product.
Step-by-step explanation:
So I don't know if this was helpful, but I hope you find it very helpful!
simplify the expression -2(p+4)^2-3+5p.What is the simplified expression in standard form?
Answer: -2x²-11x-35
Step-by-step explanation:
-2(p+4)²-3+5p
-2(x²+8x+16)-3+5x
-2x²-11x-35
To simplify the expression -2(p+4)^2-3+5p, it's important to distribute, multiply, and combine like terms. The simplified expression is -2p^2 -11p -35.
Explanation:To simplify the expression -2(p+4)^2-3+5p, it's easier to break it down step by step:
First, distribute (p+4)^2 to get p^2 + 8p + 16.Multiply -2 to each term to get -2p^2 -16p - 32.Next, combine terms with the rest of the expression to get -2p^2 -16p - 35 + 5p.Finally, combine like terms to arrive at the simplified expression: -2p^2 -11p -35.This is the simplest form of the original expression.
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the function g is defined by the following rule g(x)=4x-5
Answer: 5/4, or 1.25
Step-by-step explanation:
To solve, get a variable on one side. First, add 5 on both sides.
g(x) = 4x-5+5
Next, divide by four.
5/4 = 4x/4
Now, solve.
5/4, or 1.25 = x
Three solid shapes A, B and C are similar.
The surface area of shape A is 4 cm^2
The surface area of shape B is 25 cm^2
The ratio of the volume of shape B to the volume of shape C is 27 : 64
Work out the ratio of the height of shape A to the height of shape C.
Give you answer in its simplest form.
Answer:
[tex]\frac{3}{10}[/tex]
Step-by-step explanation:
step 1
Find the ratio of the height of shape A to the height of shape B
we know that
If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared
Let
z-----> the scale factor
x----> surface area shape A
y----> surface area shape B
so
[tex]z^{2} =\frac{x}{y}[/tex]
substitute
[tex]z^{2} =\frac{4}{25}[/tex]
[tex]z =\frac{2}{5}[/tex]
therefore
the ratio of the height of shape A to the height of shape B is equal to
[tex]\frac{hA}{hB}=\frac{2}{5}[/tex]
step 2
Find the ratio of the height of shape B to the height of shape C
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> the scale factor
x----> volume shape B
y----> volume shape C
so
[tex]z^{3} =\frac{x}{y}[/tex]
substitute
[tex]z^{3} =\frac{27}{64}[/tex]
[tex]z =\frac{3}{4}[/tex]
therefore
the ratio of the height of shape B to the height of shape C is equal to
[tex]\frac{hB}{hC}=\frac{3}{4}[/tex]
step 3
Find the ratio of the height of shape A to the height of shape C
we have
[tex]\frac{hA}{hB}=\frac{2}{5}[/tex]
[tex]\frac{hB}{hC}=\frac{3}{4}[/tex]
Multiply
[tex](\frac{hA}{hB})(\frac{hB}{hC})=\frac{hA}{hC}[/tex]
so
[tex](\frac{2}{5})(\frac{3}{4})=\frac{6}{20}=\frac{3}{10}[/tex]
In this problem, we're working with the geometric property of similarity to compare the heights and volumes of different shapes. Using the ratios of their surface areas and volumes, we found that the ratio of the height of Shape A to Shape C is 15:8.
Explanation:In order to solve this problem, it is necessary to first know that, for similar shapes, the ratio of the areas is actually the square of the ratio of the corresponding length measurements (this includes dimensions such as the height). In this particular case, since shapes A and B are similar, the ratio of their surface areas will give the square of the ratio of the heights:
√(25/4) : 1 => 5 : 2
Now, for shapes B and C, we have the volume ratio given as 27 : 64. Since, for similar shapes, the ratio of the volumes is the cube of the ratio of the corresponding length measurements, the cube root of the volume ratio will give the ratio of the heights:
∛(27/64 : 1) => 3 : 4
Using these two ratios, we can find the ratio of height from shape A to shape C by multiplying together the heights of shape A to B and shape B to C: (5/2) * (3/4) => 15 : 8.
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