Answer:
x < -4
Step-by-step explanation:
4 > 16 + 3x
3x < 4-16
3x < -12
x < -12/3
x < -4
Feel free to mark it as brainliest
Marcus spent $16 on batteries if they cost $2 per pack how many packs did he buy what's the variable in the equation
Answer:
he bought 8 packs.
Step-by-step explanation:
1:2=x:16
x=16/2
the variable is x, the number of packs he bought
write 5^2 ÷ √5 as a single power of 5
The value of the given expression is 5^(3/4).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression can be resolved as shown below,
5² ÷ √5
[tex]= \dfrac{5^2}{\sqrt5}\\\\\\[/tex]
Using the law of exponents, [tex]\sqrt[n]{m} = m^{\frac1n}[/tex],
[tex]= \dfrac{5^2}{5^{\frac12}}\\\\\\[/tex]
Using the law of exponents, [tex]m^x\times m^y = m^{x+y}[/tex],
[tex]= {5^2} \times {5^{-\frac12}}[/tex]
Solving the powers,
[tex]= {5^{2-\frac12}}\\\\= 5^{\frac34}[/tex]
Hence, the value of the given expression is 5^(3/4).
Learn more about Expression here:
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A 3D shape is shown below.
Select the matching net or nets from the options given.
plz tell me the answer
Answer:
my best guess would be B but I am so sorry if its incorrect
Name the property shown.
5.7 = 7.5
Answer:
Step-by-step explanation:
Commutative Property of Multiplication
A bus driver covers a certain distance in 3 hours at an average speed of 80 km/h. How long will the journey take at an average speed of 50 km/h?
Answer:
d= s x t
=50km/h x 3h
= 150km/h
need help pls geometry question
Answer:
Step-by-step explanation:
sin 45 = x/12
x = 12 sin 45
x = 6√(2)
answer is D
Pretty easy question just stuck and need help ASAP
Answer:
Step-by-step explanation:
m1+m2=180
3x+x+44=180
4x+44=180
4x=136
x=34
m1=3x=3(34)
m1=102 degrees
m2=x+44=34+44
m2=78 degrees
Answer:
The two angles added together are equal to 180 degrees because they lie on a straight line and a straight line is always equal to 180 degrees.
∠1 + ∠2 = 180°
∠1 = 3x, ∠2 = x + 44
Substitute the values of ∠1 and ∠2
3x + x + 44 = 180
4x + 44 = 180
4x = 136
x = 34
If x = 34,
∠1 = 3 * 34 = 102°
∠2 = 34 + 44 = 78°
Which expression is equal to 48 + 72?
A
24(2 + 3)
B
8(6 + 12)
с
3(14 + 24)
D
2(24 + 38)
Answer:
A
Step-by-step explanation:
I did the math and i have no doubt
Uh i need help with those 3, will give brainliest, thanks!
Answer:
26 = G. 27 = A. 28 = J
Step-by-step explanation:
26} A Nickle = 5 cents. A Dime = 10 Cents.
Way #1: 5+5+5+5+5+5 = 30
Way #2: 10 + 10 + 10 = 30
Way #3: 10 + 5 + 5 + 5 + 5 = 30
Way #4: 10+ 10+ 5 + 5 = 30
27} Pennies = 1 Cent. Nickels = 5 Cents. Dimes = 10 cents.
Way #1: 1+1+1+1+1+5+ 10 = 20
28} Pennies = 1 Cent. Nickels = 5 Cents. Dimes = 10 Cents.
Way #1: 10+5+1+1 = 17
Way #2: 5+5+5+11 = 17
Way #3: 1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1 = 17
Way #4: 1+1+1+1+1+1+1+10 = 17
Way #5: 5+1+1+1+1+1+1+1+1+1+1+1+1 = 17
A helicopter and a plane can make a safe landing if at least half of its engines are working properly. Suppose that engine failures are independent events. Determine whether a two engine helicopter or a four engine plane is safer if the chance that an engine fails is 1 in 100?
Answer:
I'm going to make an uneducated guess here.
I think the probability of two engines failing would be the same for either aircraft. In the instance that does happen, the helicopter doesn't fly at all and the airplane does.
I say the airplane is safer.
Step-by-step explanation:
So, the plane is safer than the helicopter.
Binomial distribution:
The formula for finding the probability by Binomial distribution is,
[tex]P(X = x) = n_C_x \times p^x \times (1 - p)^{(n - x)}[/tex]
For Helicopter,
We need to calculate, Probability of safe landing, [tex]P(X = 0)[/tex]
Here, [tex]n = 2, p = 0.99, (1 - p) = 0.01\ and\ x = 1[/tex]
As per binomial distribution formula [tex]P(X = x) = n_C_x \times p^x \times (1 - p)^{(n - x)}[/tex]
We need to calculate [tex]P(X \ge 1).[/tex]
[tex]P(X \ge1) = (2_C_1 \times 0.99^1 \times 0.01^1) + (2_C_2 \times 0.99^2 \times 0.01^0)\\P(X \ge1) = 0.0198 + 0.9801\\P(X \ge 1) = 0.9999[/tex]
For Plane,[tex]P(safe\ landing)[/tex]
Here, [tex]n = 4, p = 0.99, (1 - p) = 0.01\ and\ x = 2[/tex]
As per binomial distribution formula [tex]P(X = x) = n_C_x \times p^x \times (1 - p)^{(n - x)}[/tex]
We need to calculate P(X >= 2).
[tex]P(X \ge 2) = (4_C_2 \times 0.99^2 \times 0.01^2) + (4_C_3 \times 0.99^3 \times 0.01^1) + (4_C_4 \times 0.99^4 \times 0.01^0)\\P(X \ge 2) = 0.0006 + 0.0388 + 0.9606\\P(X \ge2) = 1\\[/tex]
Learn more about the topic Binomial distribution:
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Express following improper fractions as the sum of polynomial and a proper fraction.
(4x^3-3)/(2x+1)
I think u need to download photo math.
Who’s Heart rate is faster?
Answer:
giraffe's heart beat is faster
Step-by-step explanation:
maybe his crush has just mistakenly touched him
Solve the triangle.
a = 1, b = 2, y = 70°
(Do not round until the final answer. Then round to the nearest tenth as needed.)
Answer:
cute scalene triangle.
Sides: a = 1 b = 2 c = 1.906
Area: T = 0.94
Perimeter: p = 4.906
Semiperimeter: s = 2.453
Angle ∠ A = α = 29.543° = 29°32'36″ = 0.516 rad
Angle ∠ B = β = 80.457° = 80°27'24″ = 1.404 rad
Angle ∠ C = γ = 70° = 1.222 rad
Height: ha = 1.879
Height: hb = 0.94
Height: hc = 0.986
Median: ma = 1.888
Median: mb = 1.147
Median: mc = 1.262
Inradius: r = 0.383
Circumradius: R = 1.014
Vertex coordinates: A[1.906; 0] B[0; 0] C[0.166; 0.986]
Centroid: CG[0.691; 0.329]
Coordinates of the circumscribed circle: U[0.953; 0.347]
Coordinates of the inscribed circle: I[0.453; 0.383]
Exterior (or external, outer) angles of the triangle:
∠ A' = α' = 150.457° = 150°27'24″ = 0.516 rad
∠ B' = β' = 99.543° = 99°32'36″ = 1.404 rad
∠ C' = γ' = 110° = 1.222 rad
Step-by-step explanation:
Question 7 (5 points)
(06.04 LC)
The equation of the line of best fit of a scatter plot is y = 8x - 1. What is the slope of
the equation? (5 points)
1)-8
2-1
3) 1
4) 8
Answer:
4) 8
Step-by-step explanation:
In the formula y = mx + b, m is the slope and b is the y-intercept
m = 8
b = -1
If m = 8 and m is the slope, then the slope is 8
Use the order of operation to evaluate the expression below
4+[8 ÷(8-7) +6 -12] . 10
First do inside the parentheses:
4 + [8/1 + 6-12] . 10
Now work inside the brackets doing division first
4 + [8 + 6 -12]. 10
Still inside the brackets add an subtract from left to right:
4 + 2 . 10
Multiply:
4 + 20
Add to get final answer of 24
Answer:
4+[8 ÷(8-7) +6 -12] . 10
4+[8÷1+6-12].10
4+[8+6-12].10
4+[14-12].10
4+2×10
4+20
24
what is the area of this cross section of this rectangular prism?
Answer:
Step-by-step explanation
cross-section is 10 inches by 16 inches
area = 10*16 = 160 square inches
The area of the shown cross-section is 160 square inches.
What is the area of the cross-section?
As you can see in the image, the cross-section of a rectangular prism is actually a rectangle.
Here, the dimensions of the rectangular cross-section is:
L = 16 in
H = 10 in
The area will be the product of these two values, so we will get:
A = L*H = (16 in)*(10 in) = 160 in^2
So the area of the shown cross-section is 160 square inches.
If you want to learn more about areas, you can read:
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what ia a right triangle?
This is Adele's solution for the equation x^2 + 8x - 9 = 0 Step 1 x^2 + 8x - 9 = 0 Step 2 x^2 + 8x = 9 Step 3 ( x + 4 )^2 = 25 Step 4 x + 4 = 25 or x + 4 = - 25 Step 5 x = 21 or x = - 29. Where did Adele make her mistake. Show all of your work.
Larry bought 24 marbles little lost half of his marbles how many did he lose
Answer:
12
Step-by-step explanation:
his he had lost 12 of his marbles then he would only have 12 left to begin with.
to do this we can do the equation:
24/0.5 (the 0.5 is the represent that the 24 marbles had been split into two, a half for each party)
this would then give use our quotient of 12 marble he had lost
Divide $400 in the ratio 3 :5
Solution:
Given ratio - 3:5
1 part = 3
2 part = 5
Total no. of parts = 3 + 5 = 8 parts
400 / 8 = 50
3 * 50 = 150
5 * 50 = 250
I think that's it :D
determine the supplement of 50 degree
please help me please i really need help please
Answer:
Step-by-step explanation:
The supplement of 50° is the angle that when added to 50° forms a straight angle (180° ).
pls help!!
These two polygons are similar. 4 2 9 o 15
Answer:
z = 3
Step-by-step explanation:
Similar polygons have the ratio of their corresponding sides equal to each other. There:
9/z = 6/2
Cross multiply
z*6 = 9*2
6z = 18
z = 18/6
z = 3
Triangle TUV is dilated by a scale factor of 3/4 to form triangle TUV. Side UV
measures 18. What is the measure of side U'V'?
A factory worker submits the weekly timesheet below. Time-and-a-half is paid for overtime hours over 44 hours a week. How many hours should the worker receive overtime pay for?
Monday
5:00 a.m. – 11:00 a.m.
12:00 a.m. – 4:00 p.m.
Tuesday
5:00 a.m. – 11:00 a.m.
12:00 a.m. – 4:00 p.m.
Wednesday
6:00 a.m. – 11:00 a.m.
12:00 p.m. – 6:00 p.m.
Thursday
6:00 a.m. – 11:00 a.m.
12:00 p.m. – 6:00 p.m.
Friday
5:00 a.m. – 11:00 a.m.
Answer:
8 HOURS EXTRA JUST DO P.E.M.D.A.S ;]
Step-by-step explanation:
If a punch bowl hold 216 ounces of punch how many 8 ounce glasses can be filled from the punch bowl
Answer:
27 glasses
Explanation:
216 divided by 8 is 27
please help me with this!!!!!
Answer:
c
Step-by-step explanation:
it c because i said so. and im right so the answer is C
Answer:
C. 3/8
Step-by-step explanation:
To solve think about how many sections there truly are. The 5 section represents 3 parts, the 2 section represents 2 parts, and the 1, 4, 3 sections represent 3 parts in total. This means overall there are 8 parts to this spinner. Since 5 takes up 3 of these 8 parts, the probability of the pointer landing on 5 is 3/8.
2. Find the measure of the given angle.
H
G
O 360°
90°
0 45°
O 180°
Answer:
x= 90
Step-by-step explanation:
An angle inscribed in a semicircle is a right angle
x =1/2 (180)
x = 90
Write the equation in slope-intercept form. -1.5(6y - 2x) = 0
Answer:
y=1/3x
Step-by-step explanation:
simplify 1/2 +2/3-1/6
Answer:
1
Step-by-step explanation:
1/2 = 3/6
2/3 = 4/6
3/6 + 4/6 = 7/6
7/6 - 1/6 = 6/6 or 1
Need help with this geometry question
Answer:
UT = TW + WU = 27 + 27 = 54
WT = 27
ST = UT = 54
arc(XT) = angle XZT = 52 degrees
arc(ST) = angle SZT = 104
arc(US) = arc(ST) + arc(UT) = 104 + 104 = 208
I know it was super drawn out and there were probably quicker ways to do it, but I was justusing methods that came to mind rather than going for efficiency. let me know if any part is confusing.
Step-by-step explanation:
Let's start by just building on what we know
Since we know sv and vz can be made into the side of two triangles, SZV and TZV, we can use some similar triangle rules.
In SZV and TZV we know SZ = TZ since they are both radii, ZV = ZV because they are the same line and angle ZVS = angle ZVT since they are supplementary and one is 90 degrees. This allows us to solve and see if they are congruent or not. To do so we use the normal trig functions
sin(ZTV) = ZV/ZT = ZV/12
sin(ZSV) = ZV/SV = ZV/12
So the angles could be equal, but just to be sure lets look at all possible answers. with sine an angle x gives the same result as 180-x. Since both angles are acute thugh we know this can't be true so both angles are equal. Now we can say both triangles are congruent by AAS. Since they are congruent we can then confirm SV = VT.
In general you can say if a radii intersects a chord at a right angle then the intersection is a bisection. So now we know VT = 27
We can use similar methods to show UW = WT and if you made two triangles ZWT and ZWU you will see they are congruent. and since arc UT is 104 degrees that means angle UZT is 104 degrees. Since ZW bisects UT and the two triangles are congruent ZW also bisects angle UZT so UZW = TZW = 52 degrees.
Now we have 4 triangles, SZV, TZV, ZWT and ZWU and we know SZV and TZV are congruent and ZWT and ZWU are congruent. Now, if we can make one from each pair congruent we would knwo all four are congruent. Since TZV and ZWT share a side that's a good place to start. Looking at these two triangles we know those two sides are equal, and they both have a right angle. Also we know VZ = ZW fromt he instructions, so this is again a chance to check with trig.
Let's look at angle ZTW and ZTV.
sin(ZTW) = ZW/ZT = 27/ZT
sin(ZTV) = VZ/ZT = 27/ZT
Using the same reasoning as before we can say that the two angles are equal, so the two triangles are congruent. Now we can say a lot.
angle UZT = angle SZT = 104 degrees
angle SZV = angle VZT = angle TZW = angle WZU = 52
SV = VT = TW = WU = 27
Let's start solving.
UT = TW + WU = 27 + 27 = 54
WT = 27
ST = UT = 54
arc(XT) = angle XZT = 52 degrees
arc(ST) = angle SZT = 104
arc(US) = arc(ST) + arc(UT) = 104 + 104 = 208