Given:
The figure of an algebraic tiles model of an inequality.
To find:
The inequality for the given model.
Solution:
On the left hand side of the inequality sign in the model we have 8 tiles of x and 12 tiles of 1. So,
[tex]LHS=8(x)+12(1)[/tex]
[tex]LHS=8x+12[/tex]
On the right hand side of the inequality sign in the model we have 12 tiles of -1. So,
[tex]RHS=12(-1)[/tex]
[tex]RHS=-12[/tex]
Now, the inequality for the given model is:
[tex]8x+12\geq -12[/tex]
Therefore, the required inequality for the given model is [tex]8x+12\geq -12[/tex].
-7n = 84 round to the nearest hundredth
Answer:
n=-12
Step-by-step explanation:
Good morning, can someone help me solve this problem? I already did some of it but I need help, thank you
Answer: (-4, -1)
This means x = -4 and y = -1 pair up together.
======================================================
You're on the right track. You'll replace the 'x' with 3y-1, but you made a typo. I think you meant to write the subtraction symbol instead of the equal sign.
Here's what your steps could look like
-2x + 5y = 3
-2(3y-1) + 5y = 3
-6y + 2 + 5y = 3
-y + 2 = 3
-y = 3-2
-y = 1
y = -1
x = 3y-1
x = 3(-1) - 1
x = -3-1
x = -4
Therefore, (x, y) = (-4, -1) is the solution
-------------------
As the steps above show, I replaced each copy of x in the second equation with (3y-1). This is due to x = 3y-1. From there, we isolate y. Once you determine that y = -1, it's plugged into the first equation to find x.
If you were to graph x = 3y-1 and -2x+5y = 3 on the same xy coordinate grid, then the two lines would intersect at (-4, -1)
Also, note how plugging x = -4 and y = -1 into the second equation leads to...
-2x+5y = 3
-2(-4)+5(-1) = 3
8 - 5 = 3
3 = 3
We get the same value on both sides, so that verifies the second equation. I'll let you verify the first equation.
Given circle Q a measure of SR = 120 degree and a radius of 9 feet, as shown below determine the arc length of SR use mathematics to explain how you determined your answer. 
Volume and circles
Help please ❤️
Answer:
Arc length SR = 18.85 ft
Step-by-step explanation:
To get the arc length, we use the formula below
theta/360 * 2 * pi * r
theta is the central angle subtended by the arc which is 120 degrees
r is the radius of the circle which is 9 ft
Substituting these values, we have
120/360 * 2 * 3.142 * 9
= 18.85 ft
in how many ways can 4 books be arranged on a shelf if there are 8 books to choose from?
Answer:
1680 ways
Step-by-step explanation:
By using the formula for permutation, which is nPr=n!/(n-r)!,
8P4=8!/(8-4)!
=8!/4!
=8×7×6×5
=1680
Or if you just want to use the multiplication rule (which is simpler).
8×7×6×5=1680
Answer:
im pretty sure its
1680
Step-by-step explanation:
I need answers asap please!!!:)
Answer:
70 mb
Step-by-step explanation:
264 picture = 528 mb
35 pictures = ?
Solve for one picture:
Variable x = mb per 1 picture
264/528 = 1/x
Cross multiply:
264 × x = 528 × 1
264x = 528
x = 528 ÷ 264
x = 2
Each picture takes up 2 mb.
Multiply the number of pictures per 2 mb:
35 pictures × 2 mb
70 mb total
Drag the tiles to the correct boxes to complete the pairs.
Simplify the mathematical expressions to determine the product or quotient in scientific notation. Round so the first factor goes to the hundredths place.
Answer:
d
Step-by-step explanation:
I need help ASAP! 20 point
I’m the xy-plane, a line has a slope of 6 and passed through the point (0,8). Which of the following is an equation of this line?
Answer:
A) y = 6x + 8
Step-by-step explanation:
While flipping a weighted coin, Latrell gets 4 heads and 2 tails. Based on experimental probability, how many of the next 3 flips should Latrell expect to come up heads?
Answer: 2 heads
Step-by-step explanation:
First, write the experimental probability as a fraction in simplest form.
P(heads)
=
heads
total
=
heads
heads+tails
=
4
4+2
=
4
6
=
2
3
The experimental probability is
2
3
.
We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.
2
3
=
n
3
2
3
(33)
=
n
3
(33) Multiply both sides by (33)
23
= 3n Simplify
6
= 3n Simplify
2
= n Divide both sides by 3
Based on experimental probability, Latrell should expect 2 of the next 3 flips to come up heads.
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can someone please pls help me
A ____ can be observed by all people on the side of the earth experiencing night. Group of answer choices Solar Eclipse Sunrise Lunar Eclipse Gravitation attraction of the sun
Answer:
Lunar Eclipse
Step-by-step explanation:
Lunar eclipse is the phenomenon that occurs on the night of the full moon. During this phenomenon the Earth comes in between the Sun and the Moon. The Earth blocks the light of the Sun with which the Moon is visible to the people on the Earth. Lunar Eclipse is visible from the part of the Earth that is experiencing the night. The duration of the Lunar eclipse can be for two hours. The moon appears to be red because of the reflection of the Earth.
√320x^3 yz
simplify square roots
Answer:
[tex]8x\sqrt{5x}[/tex]yz
Step-by-step explanation:
before you plug in this answer, is your correct equation [tex]\sqrt{320x^3} yz[/tex] or [tex]\sqrt{320x^3yz}[/tex]
5. (08.01) Line M is represented by the following equation: x + y = -1 What is most likely the equation for line P so the set of equations has infinitely many solutions?
O 2x + 2y = 2
O 2x + 2y = 4
O 2x + 2y = -2
O x - y = 1
Answer:
2x + 2y = -2
Step-by-step explanation:
you can divide a 2 from all three terms in 2x + 2y = -2 to get x + y = -1 which overlaps the original equation to provide an infinite number of solutions
Given that P(A and B) = 0.20 and P(A|B) = 0.40, what must the P(B) = ?
a. 0.1
b. 0.2
c. 0.4
d. 0.5
Answer:
The value of P(B) = 0.5
Step-by-step explanation:
Given:
Value of P(A and B) = 0.20
Value of P(A|B) = 0.40
Find:
The value of P(B)
Computation:
P(A and B) = P(A|B) x P(B)
By putting value of P(A and B) and P(A|B)
⇒ 0.20 = 0.40 x P(B)
⇒ The value of P(B) = 0.20 / 0.40
⇒ The value of P(B) = 20 / 40
⇒ The value of P(B) = 1 / 2
The value of P(B) = 0.5
It rains 7 out of every 10 days.
What is the chance of rain on one day?
Answer:
if it rains 7 out of 10 days the chance of rain for one day is 70%
Step-by-step explanation:
Sally can run 5 km in 25 minutes. At the same rat of speed, how far can she run in 2 hours and five minutes?
Answer:
25 km
Step-by-step explanation:
[tex]\frac{5}{25} :\frac{y}{125}[/tex]
y · 25 = 5 · 125
25y = 625
25y ÷ 25 = 625 ÷ 25
y = 25
r s + 14s when r=6 and s=1/4
given the information in the diagram, which thermo best justifies why lines j and k must be parallel?
You drive your car for 3 hours at an average speed of 130 km per hour. How far did you go? *
What is the solution to the equation 3 + = 4? y = y = y = 1 y = 4
Answer:
y = 1
Step-by-step explanation:
3 + y = 4
y = 1
Answer:
Step-by-step explanation:
I think its y=1 but I'm not sure
Hope this helps
Have a good day
Pls tell me if I'm wrong
(1 point) Find ⋅ if =⟨−1,0,1⟩ and =⟨4,5,2⟩ Is the angle between the vectors "acute", "obtuse" or "right"?
Answer:
Obtuse.
Step-by-step explanation:
If we have a vector v = (a, b, c)
The magnitude of the vector is:
|v| = √(a^2 + b^2 + c^2)
And the dot product of two vectors:
v = (a, b, c)
w = (c, d, e)
is:
v.w = |v|*|w|*cos(θ) = a*c + b*d + c*e
With that relation, we can find the angle between the two vectors.
In this case, we have:
v = ⟨−1,0,1⟩
then:
|v| = √( (-1)^2 + 0^2 + 1^2) = √2
And:
w = ⟨4,5,2⟩
then:
|w| = √( 4^2 + 5^2 +2^2) = √116
Then:
v.w = (√2)*(√116)*cos(θ) = (-1)*(4) + 0*5 + 1*2
(√2)*(√116)*cos(θ) = -4 + 2 = -2
(15.23)*cos(θ) = -2
cos(θ) = -2/15.23
θ = Acos( -2/15.23) = 97.5°
Then the angle is larger than 90°, so the angle is obtuse.
A farmer has 200 feet of fencing to use for a chicken pen. He wants the width of the pen to be 27 feet. What will the length be?
Answer:
Length will be 173
Step-by-step explanation:
HELP ME PLEASE WHAT IS
What is 2/5 divided by 3/4 IT CAN NOT BE A DECIMAL
Answer: 2/5, if it cannot be a decimal it is a fraction, same goes for 3/4!!
Step-by-step explanation:
Elisa y Romina tienen 5/8 de pizza y decidieron dividírsela en partes iguales. ¿Qué parte de la pizza completa le tocó a cada una?
Answer:
Elisa y Romina comieron 5/16 de la pizza completa cada una.
Step-by-step explanation:
Dado que Elisa y Romina tienen 5/8 de pizza y decidieron dividírsela en partes iguales, para determinar qué parte de la pizza completa le tocó a cada una se debe realizar el siguiente calculo:
(5/2) / 8 = X
2.5 / 8 = X
0.3125 = X
0.3125 = 5/16
Por lo tanto, Elisa y Romina comieron 5/16 de la pizza completa cada una.
Which equation models this situation? 26 more than a number is 37.
Answer:
x+26=37
Step-by-step explanation:
a bamboo plant grows 53 1/4 inches in 1 1/2 mouth's what is the bamboo's growth rate in inches per month
HELPPPPPP
solve the equation for x
2/3x-1/9x+5=20
Answer:
x=27
Step-by-step explanation:
You want to isolate the variables so you subtract 5 from both sides. Therefore the equation will be 2/3x-1/9x=15. You want to take away the fraction because no one likes fractions. You have to multiply everything by 9. Therefore, the equation will be 6x-x=135. 5x=135. You want to isolate x so you have to divide each side by 5. x=135/5. Simplify to get x=27.
If this has helped you please mark as brainliest
I need answer immediately!!!!!!
Answer:
y = -2/3x - 5
Step-by-step explanation:
find a
polynomial P(x) of 2nd degree if P(1)=0
P (2) 3
P(-3)=0
Given:
P(x) is a 2nd degree polynomial.
[tex]P(1)=0,\ P(2)=3,\ P(-3)=0[/tex]
To find:
The polynomial P(x).
Solution:
If P(x) is a polynomial and P(c)=0, then c is a zero of the polynomial and (x-c) is a factor of polynomial P(x).
We have, [tex]P(1)=0,\ P(-3)=0[/tex]. It means 1 and -3 are two zeros of the polynomial P(x) and (x-1) and (x+3) are two factors of the polynomial P(x).
So, the required polynomial is defined as:
[tex]P(x)=a(x-1)(x+3)[/tex] ...(i)
Where, a is a constant.
We have, [tex]P(2)=3[/tex]. So, substituting [tex]x=2,\ P(x)=3[/tex] in (i), we get
[tex]3=a(2-1)(2+3)[/tex]
[tex]3=a(1)(5)[/tex]
[tex]3=5a[/tex]
[tex]\dfrac{3}{5}=a[/tex]
Putting [tex]a=\dfrac{3}{5}[/tex] in (i), we get
[tex]P(x)=\dfrac{3}{5}(x-1)(x+3)[/tex]
Therefore, the required polynomial is [tex]P(x)=\dfrac{3}{5}(x-1)(x+3)[/tex].
Q9 A gardener wants to build this greenhouse in the top right hand corner of her garden.
This is a sketch plan of her garden.
2.5m
5.5m
greenhouse
2m
here
5.5m
2.5m
She will leave a 50cm space between the greenhouse and the edge of the garden.
She wants a scaled plan of the garden showing the position of the greenhouse.
Draw a scale plan. Put the scale you use on the plan.
Answer:
See attachment for drawing
Step-by-step explanation:
Given
See attachment for sketch of plan
Required
Draw a scaled plan
From the question, the garden has the following dimensions.
5.5m, 5.5m, 4m and 2.5m
Using a scale of 1m : 50 cm units, the above measurements will be represented as:
[tex]5.5m \to \frac{5.5m}{50cm} \to \frac{5.5m}{0.5m} \to 11cm[/tex]
[tex]4m \to \frac{4m}{50cm} \to \frac{4m}{0.5m} \to 8cm[/tex]
[tex]2.5m \to \frac{2.5m}{50cm} \to \frac{2.5m}{0.5m} \to 5cm[/tex]
From the question, we understand that there will be 50cm space between the greenhouse and the edge.
On the scale drawing, this will be represented as:
[tex]50cm \to \frac{50cm}{50cm} \to 1cm[/tex]
From the question, the green house has the following dimensions.
2m, 2.5m
On the scale drawing, this will be represented as:
[tex]2m \to \frac{2m}{50cm} \to \frac{2m}{0.5m} \to 4m[/tex]
[tex]2.5m \to \frac{2.5m}{50cm} \to \frac{2.5m}{0.5m} \to 5m[/tex]
See attachment 2 for scale drawing
when the “a” value is negative in any quadratic what do you know about the graph?
Answer:
when a is negative, the parabola opens downward
Step-by-step explanation: