Answer:
<MON = 57°
Step-by-step explanation:
they are complementary angles so they add up to 90°
3x - 15 + 5x - 23 = 90
8x - 38 = 90
8x = 128
x = 16
5(16) - 23 = 57
A zookeeper has 858585 treats to divide evenly among 888 seals. The zookeeper divides to see how many treats to give to each seal. The zookeeper will have as few treats left as they can.
Answer: 10 treats per seal, and there are 5 treats left.
Step-by-step explanation:
The zookeeper has 85 treats, and want to divide them into seals, in such a way that the treats left is minimized,
Then we want to find the multiple of that is closer to 85 (from below)
We know that: 8*10 = 80 is a multiple of 8, and the next one is:
8*11 = 88, but this is larger than 85, so we discard this option.
Then we will divide 80 treats into 8 seals, and we will have:
85 - 80 = 5 treats left.
Then each one of the 8 seals gets:
80/8 = 10 treats.
how do you solve this system of equation?
2x+4y=-4
3x + 5y =-3
Answer:
x = 4
y = -3
Step-by-step explanation:
We can use substitution, elimination, or graphically.
Step 1: Rearrange first equation
2x + 4y = -4
2x = -4 - 4y
x = -2 - 2y
Step 2: Rewrite systems of equations
x = -2 - 2y
3x + 5y = -3
Step 3: Substitution
3(-2 - 2y) + 5y = -3
-6 - 6y + 5y = -3
-6 - y = -3
-y = 3
y = -3
Step 4: Find x using y
2x + 4(-3) = -4
2x - 12 = -4
2x = 8
x = 4
Graphically:
Use a graphing calc and analyze where the 2 lines intersect.
There are 7 students in a class. If there are 3 seats in the front row, how many ways can the students sit in the front row, assuming there are no empty seats?
Answer:
35 different waysStep-by-step explanation:
Since there are 7 students in a classroom to fill a front row containing 3 seats, we will apply the combination rule since we are to select 3 students from the total number of 7 students in the class.
In combination, if r objects are to be selected from a pool of n objects, this can be done in nCr number of ways.
nCr = n!/(n-r!)r!
Selecting 3 students from 7 students to fill the seats can therefore be done in 7C3 number of ways.
7C3 = 7!/(7-3)!3!
7C3 = 7!/(4)!3!
7C3 = 7*6*5*4!/4!*3*2
7C3 = 7*6*5/6
7C3 = 7*5
7C3 = 35
Hence there are 35 different ways that the student can sit in the front assuming there are no empty seats.
is x^2+y^2=5 a function? why or why not?
Answer:
No.
Step-by-step explanation:
A function must past the Vertical Line Test. We know that our equation x² + y² = 5 is a circle, and so some x-values have the same y-values, etc. Since not every x-value has its own y-value, our equation is not a function.
We can see this using a graph:
Since the vertical line test passes 2 points with the same x-value, it is not a function.
is k=3 a reduction or enlargement (dilation)
Answer:
It is an enlargement because k=3 is larger than 1. Anything that equals less than one (ex. k=0.25) would be a reduction.
Step-by-step explanation:
PLEASE HELP ON 13 TO BE MARKED THE BRAINLIEST
Answer:
D) 10000 feet
Step-by-step explanation:
We are told that for some actual altitude, the reading is ...
30,000 ft = (1 -25%)altitude = 0.75×altitude
Multiplying by 4/3, we have ...
(4/3)(30,000 ft) = altitude = 40,000 ft
To get to 30,000 ft, the plane must descend ...
40,000 ft -30,000 ft = 10,000 ft
Find the value of x.
40°
(6x + 2)
Answer:
= 240x + 80
Step-by-step explanation:
What is 300 to the power of 10?
Answer: 5.9049E24
Step-by-step explanation:Because I said so
Answer:
5.9049e+24 bc they said so
Step-by-step explanation:
what is the tangent ratio for a
Answer:
2/3
Step-by-step explanation:
To find the tangent ratio of angle A we write the ratio of opposite side to adjacent side.
Identifying Steps Involved in Deleting a Column from a Table
Tristan has moved the Television and related equipment Use the drop-down menus to identify the steps
row. Next, he needs to delete the blank row.
involved in deleting the blank row in this scenario.
Use
Percentage
Step 1:
Space cooling
17.5
Step 2
Step 3
Water heating
9.5
Step 4: Click the Delete Row option
9.2
9.1
8.8
Lighting
Space heating
Refrigerators and
freezers
Television and
related equipment
All other uses
5.9
40.0
1 - C
2 - B
3 - A
Step-by-step explanation:
Therefore, the correct answer is as follows:
CBAKnow more about columns here:
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1
Solve for x: (2x - 1) + (4x + 9) = 32 m
O x = 40/6
O x = 4
x = 22/6
Other
Answer:
[tex]x = \frac{40}{6} [/tex]Step-by-step explanation:
To solve the equation
(2x - 1) + (4x + 9) = 32
First of all remove the parenthesis
That's
2x - 1 + 4x + 9 = 32
Simplify
We have
6x - 8 = 32
Add 8 to both sides
Thats
6x - 8 + 8 = 32 + 8
6x = 40
Divide both sides by 6
That's
[tex] \frac{6x}{6} = \frac{40}{6} [/tex]
We have the final answer as
[tex]x = \frac{40}{6} [/tex]
Hope this helps you
Answer:
2x -1 + 4x +9 =32=) 6x +8 =32=) 6x ==32-8=) 6 x = 24=) x = 24/6=) x = 4The difference of twice a number and 3 is -21 translated
Answer:
2x-3=-21.
2x=-21+3.
2x=-18.
x=-18/2.
x= -9.
Answer:
[tex]\Huge \boxed{2x-3=-21}[/tex]
Step-by-step explanation:
Let the number be x.
The difference of two values is the result from subtracting them.
[tex]2x-3=-21[/tex]
Add 3 to both sides.
[tex]2x=-18[/tex]
Divide both sides by 2.
[tex]x=-9[/tex]
The number is -9.
Researchers recorded that a group of bacteria grew from 200 to 1,000 in 8 hours. At this rate of growth, how many bacteria will there be in 20 hours from the start of the experiment
Answer:
11,180
Step-by-step explanation:
The usual assumption for organic growth is that it is exponential. Here, the number increased by a factor of 1000/200 = 5 in 8 hours. For t in hours, a model for population might be ...
b = (initial value)·(growth factor)^(t/(period of growth))
b = 200(5^(t/8))
Using t = 20, the predicted population is ...
b = 200(5^(20/8)) = 200·5^2.5 ≈ 11,180
There might be about 11,180 bacteria in 20 hours.
Answer:
11,180
Step-by-step explanation:
which is a better price: 5 for $1.00, 4 for $0.85, 2 for $0.25, or 6 for $1.10?
Answer:
2 for $0.25
Step-by-step explanation:
1.10/ 6= .20 (rounding)
1.00/ 5= .20
0.85/ 4= .21
0.25/ 2= .13 (rounding)
find the area of a trapezoid whose height is 2 meters and whose bases are 6 meters and 10 meters
Answer:
16 m^2
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 (b1+b2) *h
= 1/2 ( 6+10) * 2
= 16 m^2
Which statement describes the congruent triangles?
1. WXZ = YZX
2. WXZ = YXZ
3. WXZ = XYZ
4. WXZ =ZYX
Answer:
1. [tex] \triangle WXZ \cong \triangle YZX[/tex]
Step-by-step explanation:
[tex] \triangle WXZ \cong \triangle YZX[/tex]
In your own words, describe the difference between a dilation and a stretch. *
how many factors of 10 does 1000 have?
Answer:it has 16
Step-by-step explanation:
The answer of your question is 16 factors
Im so confused. Please help me.
h(2) = 5(2) + 1
= 10 + 1 = 11
so h(2) = 11
Answer:
11
Step-by-step explanation:
If x=2 then we just solve the expression on the right
5x+1
5*2+1
11
so h(2)=11
Simplify by dividing negative three over eight divided by five over nine..
Answer:
-15/24 or -0.625
Step-by-step explanation:
-3/8 ÷ 5/9
First, we can use the multiplication fraction conversion trick to switch the last fraction's numerator and denominator
It would look like this: -3/8 x 9/5
Use the cross out method to simplify the fractions as lowest as possible
-1/8 x 3/5 = -15/24
You have a function that takes in an X value and produces a Y value. The y value equals 24 times the x value, plus 4 more. What's the y value when the x value equals 4?
Answer:
100
Step-by-step explanation:
First, write out the equation
y = 24x + 4
Then plug in x = 4 to solve for y
y = 24x + 4
y = (24)(4) + 4
y = 100
if ABCD is a parallelogram find the value of unknown size of angle
b=7×10(opposite angle of parallelogram)
b=70
3x+10+b=180(cointerior angles)
3x=10
x=33.33
a+70=180(cointerior angles)
a=110
Andy painted 400 square feet in 3 hours.how long will it take him to paint 720 square feet
Answer:
324 minutes or 5.4 hours
Step-by-step explanation:
400/3 = 133.333
133.333/60 = 2.2222
It took him one minute to paint 2.2222 square feet
720/2.2222 = 324 minutes
324/60 = 5.4 hours
Answer:
It will take Andy 5 hours and 24 minutes to paint 720 sq. ft.
Step-by-step explanation:
Since he painted 400 sq. ft. in 3 hours, then do 400/3 to get 133.33... sq. ft per hour. Then, do 720 / 133.33... to get 5.40000000001 hours taken. The 5 represents 5 hours, and the .4 represents 24 minutes (because 60 x .4 = 24).
Overall, you get 5 hours and 24 minutes of time to pain 720 sq. ft.
Two two-digit numbers have the same digits. The sum of the digits of each number is 10. The difference between the numbers is 18. What are the numbers?
Answer:
46 and 64
Step-by-step explanation:
4 + 6 = 10
6 + 4 = 10
64 - 46 = 18
Use the table below. Find the total cost of 2 salads, 1 sandwich, and 2 drinks. Use mental math. Lunch Menu Salad $6.25 Sandwich $5.50 Drink $2.75
Answer:
12.50+5.50+5.50= 23.50
Step-by-step explanation:
Add it
Each side of a sandbox is 7 feet long. It will cost $1.00 per square foot to replace the sand in the sandbox. What would be the total cost to replace the sand?
Answer: $7.00
Step-by-step explanation:
each foot is $1, so times 7 is 7 dollars.
Answer:
49
Step-by-step explanation:
7 x 1 is 7.
7 x 7 is 49.
49 is answer.
Please help- Which is NOT equivalent to this expression? 3(52+15)
Answer: The last one 15[tex]g^{2}[/tex] +15g
Step-by-step explanation:
The last one , is not equivalent because after simplifying the expression, you will get 15g^2 + 45g and the last one doesn't match to it.
Answer:
15g^2 +15g
Step-by-step explanation:
all the others are equal to 15g^2 + 45g aka 3(52+15)
If x + 3(2x-5) = 6 then x =
O
-3
3
O 15
O Option 4
O-14
Answer:
[tex] \boxed{ \boxed{ \bold{ \sf{3}}}}[/tex]Step-by-step explanation:
[tex] \sf{x + 3(2x - 5) = 6}[/tex]
Distribute 3 through the parentheses
⇒[tex] \sf{x + 6x - 15 = 6}[/tex]
Collect like terms
⇒[tex] \sf{7x - 15 = 6}[/tex]
Move constant to right hand side and change it's sign
⇒[tex] \sf{7x = 6 + 15}[/tex]
Add the numbers
⇒[tex] \sf{7x = 21}[/tex]
Divide both sides of the equation by 7
⇒[tex] \sf{ \frac{7x}{7} = \frac{21}{7} }[/tex]
Calculate
⇒[tex] \sf{x = 3}[/tex]
Hope I helped!
Best regards!
The value of x is 3 for the equation x + 3(2x-5) = 6.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is x + 3(2x-5) = 6
x plus three times of two times of x minus five equal to six.
We need to find the value of x.
x + 3(2x-5) = 6
Apply distributive property.
x+6x-15=6
7x-15=6
Add 15 on both sides
7x=6+15
7x=21
Divide both sides by 7
x=3
Hence, the value of x is 3 for the equation x + 3(2x-5) = 6.
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Which equation demonstrates the multiplicative identity property? (negative 3 + 5 i) + 0 = negative 3 + 5 i (negative 3 + 5 i ) (1) = negative 3 + 5 i (negative 3 + 5 i) (negative 3 + 5 i) = negative 16 minus 30 i (negative 3 + 5 i) (3 minus 5 i) = 16 + 30 i
Answer:
(-3 + 5 i) (1) = (-3 + 5 i)
Step-by-step explanation:
The multiplicative identity property says you can multiply anything by 1 without changing its value. That is demonstrated by the equation above.
Answer:
EDGE2020 is B
Which two equations below are equivalent to 4x-4?
Group of answer choices
3x+x+12-16
6(x-2)-2x+8
4x+14-10
4x-3x+2-4
Answer:
3x+x+12-16
Step-by-step explanation:
the 3x and x combine into 4x and the 12 and -16 combine into -4. This leaves you with 4x-4.