Answer:
1. (a) a+b=86
2. (c) 5.99a+9.99b≤600
Step-by-step explanation:
1.
a = amount of 16gb memory sticks
b = amount of 21gb memory sticks
Gary is buying a memory sticks for each of the 86 teachers. Therefore the total sum of both 16gb and 32gb memory sticks should equal 86:
a+b=86
2.
a = amount of 16gb memory sticks
b = amount of 21gb memory sticks
Each 16gb memory stick cost $5.99, and each 32gb one costs $9.99. Therefore...
5.99a = total cost of 16gb memory sticks
9.99b = total cost of 32gb memory sticks
Gary has to spent an amount less than or equal to $600. Therefore, the total sum of the costs of both 16gb and 32gb memory sticks should be less than or equal to 600:
5.99a+9.99b≤600
(4x - 20) I really need help on this
Answer:
-80
Step-by-step explanation:
To find x, set the equation equal to zero
4x-20=0
the next step is to isolate the variable, you can do this by adding 20 to both sides, remember when you change one side of the equal sign you must do the same to both
4x=20
now you can divide by 4 to get x by itself, again divide both sides of the equation
4x/4=20/4
x=5
After doing the division we see that x is equal to 5, and you can always check to see if your answer is correct by plugging it back into the equation:
4(5)-20=0
20-20=0
Hope this helps :)
The product of two numbers is 75
one of the two numbers is a perfect squar. The other is a prime number. Find the sum of the two numbers.
Answer: 8
Step-by-step explanation: numbers are 5 and 3.
5²·3 =75
If preimage is (0, 1) . (4, 0), (4, 1) , what are the points after a translation of 3 units up and then a reflection over the -axis
Answer:
(0, 4) (-4, 3) (-4, 4)
Step-by-step explanation:
Translation rules:
Units UP - Add to the y-coordinate.
Units DOWN - Subtract from the y-coordinate.
Units RIGHT - Add to the x-coordinate.
Units LEFT - Subtract from the x-coordinate.
--------------------------------------------------------------------------------------------------------------
In this case, the word problem is asking for the points after a translation of 3 units up.
(x, y+3)
(0,1) → (0,4)
(4,0) → (4,3)
(4,1) → (4,4)
--------------------------------------------------------------------------------------------------------------Now it's time to reflect the new points over the y-axis.
When reflecting over the y-axis, the y-coordinate remains the same, but the x-coordinate becomes the opposite value. (-x, y)
(0,4) → (0,4)
(4,3) → (-4,3)
(4,4) → (-4,4)
Kaitlin walks 2.5km every day. How far does she walk in 5 days?
Answer:
12.5km
hope this helps
have a good day :)
Step-by-step explanation:
Answer:12.5Km
Step-by-step explanation:
You do 2.5 x 5
6. Find the 20 ^ (th) term of the arithmetic sequence. 42,28,14,0,-14,...
Step-by-step explanation:
[tex]U _{ {20}^{th} } = a + (n - 1)d \\ = 42 + (20 - 1) \times 14 \\ = −252[/tex]
In triangle ABC, m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘.
What is the value of x?
Answer:
x = 23
Step-by-step explanation:
A triangle contains 180°. So, simply create the equation m∠A + m∠B + m∠C = 180° and solve for x.
2x + 3x + 1 + 3x - 5 = 180
8x - 4 = 180
8x = 184
x = 23
The value of x in triangle ABC, where m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘ is 23.
What is triangle angle sum theorem?According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.
In triangle ABC,
m∠A=(2x)∘, m∠B=(3x+1)∘, m∠C=(3x−5)∘.As, the sum of all the angles of triangle is equal to the 180 degree. Thus,
[tex]m\angle A+m\angle B +m\angle C=180^o\\(2x)+(3x+1)+(3x-5)=180\\2x+3x+3x=180+5-1\\8x=184\\x=\dfrac{184}{8}\\x=23^o[/tex]
Thus, the value of x in triangle ABC, where m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘ is 23.
Learn more about the triangle angle sum theorem here;
https://brainly.com/question/7696843
#SPJ2
numbers greater than 10 from 1 to 15
bro just count?????? 11, 12, 13, 14, 15??????
Answer:
11,12,13,14,15
Step-by-step explanation:
The number scale goes like this 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 so look at the numbers in between 10 and 15 except dont count in ten because they have to be greater the 10. so therefor 11,12,13,14,15 :)
You are rolling a pair of dice what's is the probability of getting different numbers on both dice
Answer:
[tex]Pr = 0.833[/tex]
Step-by-step explanation:
Given
A roll of a pair of dice
Required
The probability of getting different numbers
First, list out the sample space;
We have:
[tex]S = \{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6),(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6),[/tex]
[tex](3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6),(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)[/tex]
[tex](5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6), (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)\}[/tex]
The total is:
[tex]Total = 36[/tex]
The outcomes of the different numbers are:
[tex]Different = \{(1, 2) (1, 3) (1, 4) (1, 5) (1, 6),(2, 1) (2, 3) (2, 4) (2, 5) (2, 6),[/tex]
[tex](3, 1) (3, 2)(3, 4) (3, 5) (3, 6),(4, 1) (4, 2) (4, 3) (4, 5) (4, 6)[/tex]
[tex](5, 1) (5, 2) (5, 3) (5, 4) (5, 6), (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) \}[/tex]
The total is:
[tex]Different = 30[/tex]
So, the probability of having a different outcome is:
[tex]Pr = \frac{Different}{Total}[/tex]
[tex]Pr = \frac{30}{36}[/tex]
[tex]Pr = 0.833[/tex]
6 x [(6 x 2.3) + 3.9]
Answer:
106.2
Step-by-step explanation:
First, Multiply 6 and 2.3
6x2.3= 13.8
Once you found your product, add 13.8 and 3.9
13.8+3.9= 17.7
6 x 17.7= 106.2Find the value of y. It’s geometry hw! plz only answer if you know how to do this. thank you
Answer:
48
Step-by-step explanation:
Imagine that all of the other angles within the circle are gone except for the angle "y".
Now kindly look at the image.
We would be left with angle y as the inscribed angle and 96° for the measure of the intercepted arc.
The relationship between intercepted arcs and inscribed angles is that the inscribed angle is equal to half the measure of the intercepted arc.
So y is equal to half of the measure of its intercepted arc. ( Which in this case has a measure of 96° )
so y = [tex]\frac{96}{2}[/tex]
96/2=48
Hence the value of y is 48
Pls help if u cannnnnnnnnn
Answer:
V≈2144.66m³
Step-by-step explanation:
V=4 /3πr^3
d=2r
Solving for V
V=1/ 6πd^3=1/ 6·π·16^3≈2144.66058m³
Hope this helped!!!
Answer:
2143.57 m³
Step-by-step explanation:
Formula of volume of sphere
[tex] = \frac{4}{3} \times π \times {r}^{3} [/tex]
The volume of the sphere
[tex] = \frac{4}{3} \times 3.14 \times {(16 \div 2)}^{3} [/tex]
[tex] = \frac{4}{3} \times 3.14 \times {8}^{3} [/tex]
[tex] = \frac{6430.72}{3} [/tex]
[tex] = 2143.573333...[/tex]
= 2143.57 m³ (rounded to the nearest hundredth)
The perimeter of a rectangular mat is 16 feet. It is 6 feet long. How wide is it?
A 2 ft
B 1 ft
C3ft
D4ft
Answer:
2ft
Step-by-step explanation:
because perimeter of a rectangle formula is p=2(l+w)
Which expression says," 11 less than twice n?"
(1) 11 - 2n
(2) 11 + 2n
(3) 2n - 11
(4) 2n + 11
Answer:(1) 11-2n is the correct answer
Step-by-step explanation:
hope it helps youContinuation of the other six questions find the value of eggs and tangent 
Answer:
Step-by-step explanation:
1) ?
I can't see what that one given angle is .. but it's that mystery angle subtracted from 180 give the angle BOA then you know that's an isosceles triangle again that the BOA is part of... so then just subtract BOA from 180 to find the two other angle of that triangle... they are the small so just divide your answer of 180-BOA /2 is the angle of each.. then since you know those to smaller angles subtract one from 90 to find the angle BAX
2) ( as we would read normally)
You're making this really tough on me.. I can just barely read the equations
I think it's 1+6x and 7x-3 . b/c they are the same length sides you can set those equal
1+6x = 7x -3
4+6x = 7x
4 = x
that worked out well :
for the tangent.. it's Tan(Ф)= Opp/ Adj
but I don't know which side they want to solve for.. I think you may have left off some of the instructions???? :/
ohh I think they really mean.. what's the length of the tangent lines .. that was confusing to me.. :/ just plug in 4 into x for either eq.
1+6(4) = 25
or
7(4)-3=25
tangent is 25
3)
x-2 = 2x-10
x+8 = 2x
8 = x
again they made it work out easy :)
Then plug 8 into either equation to find the length of the tangent lines
8-2=10
tangent is 10
4) = 2) ??? they are the same question maybe you meant to put something else?
Lily invested $12,300 in an account for 15 years that compounds interests continuously at rate of 3.75%. What is her account worth after that time?
Answer:
3,075
Step-by-step explanation:
Divide £104 in the ratio 3:5
Answer:
39:65
Step-by-step explanation:
104/(3+5) = 104/8 = 13 13(3):13(5) = 39:65
Find the measure of arc DHG
Answer:
128
Step-by-step explanation:
PLEASE RECHECK IF POSSIBLE I GOT 128 AS CIRCLE IS 360 and DIAMETER IS 180 ALSO 90 IS MARKED JUST RECHECH LET SOMEONE ELSE ALSO ANSWER.ALL THE BEST
Help Plis.........................
Answer: Herba has a greater balance and Nour has more debt.
Step-by-step explanation: Herba's account balance is a positive number and is clearly greater than Nour's account balance; therefore, Herba has a much greater balance. On the other hand, Nour's account balance is a negative number and is clearly less than Herba's; therefore, Hour is in more debt since he has to pay back the money that he borrowed.
Hannah is buying a shirt in a state where the sales tax is
6.25%. The price of the shirt is $14.99. By which number
should Hannah multiply $14.99 to determine the total sales
tax?
Answer:
The number is 0.0625
can you come up with a rule for what happens to the signs when you reflect a point across both axes?
→ When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed).
→ If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.
Hope it helps!!
Answer:
(a,b) ⇒ (-a,-b)
Step-by-step explanation:
When you reflect over the x-axis, the y-value changes sign.
When you reflect over the y-axis, the x-value changes sign.
So if you reflect across both, both values change sign. That is, if you reflect the point (a,b) across both axes, you will get (-a,-b)
(I've also attached a table that's handy for other reflections if you're curious)
Please hurry I really need this to be answered
Answer:
The answer is (C) BFD
Step by step
We can see that angles DFE and AFB have a common vertex F but they do not have a common side, so the angles are not adjacent. The other options are also incorrect so the answer is C.
What is the distance between points A and B? Enter your answer, rounded to the nearest tenth, in the box. units
Answer:
Distance between A and B = 10.4 unit (Approx.)
Step-by-step explanation:
Given:
Coordinate of A = (-5 , 2)
Coordinate of B = (5 , 5)
Find:
Distance between A and B
Computation:
Using distance formula
Distance between two point = √(x1 - x2)² - (y1 - y2)²
Distance between A and B = √(-5 - 5)² - (2 - 5)²
Distance between A and B = √(-10)² - (-3)²
Distance between A and B = √100 + 9
Distance between A and B = √109
Distance between A and B = 10.4403
Distance between A and B = 10.4 unit (Approx.)
Answer:
10.4
Step-by-step explanation:
took the k12 test (:
Anybody know the answers?
Answer:
1 adult = 16 students
a = 16x
Step-by-step explanation:
4−(3−5)=.
does anyone know what this is ??
Help ASAP
What is the highest common factor of 180 and 168
Answer:
Its 12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
make a factor tree, find the product of the prime factors, it will be 12.
Select all that are equal to 3. log28 log416 log327 log101,000
Answers on edg. are:
log2 8
log3 27
log10 1,000
Step-by-step explanation:
Yo just trust me ight
The bar graph shows a company’s income and expenses over the last 5 years. Which statement is supported by the information in the graph?
A) The income in Year 5 was twice the income in Year 1
B) The combined expenses in Years 3 and 4 were more than the combined income in Years 3 and 4
C) Expenses have increased each year over the last 5 years
D) The combined income in Years 1, 2, and 3 was equal to the combined expenses in Years 1, 2, and 3
Answer:
B
Step-by-step explanation:
Kinda hard to explain but I'm pretty sure it's B
The table shows the number of apples and the total weight of the apples estimate the weight of 6 apples
Answer:
6 apples will weigh about 1,533 grams
Step-by-step explanation:
Set up an equation:
2
Variable x = weight of 6 apples
2/511 = 6/x
Cross multiply
2 × x = 511 × 6
2x = 3066
Divide both sides by 2
x = 1533
Check your work
2/511 = 6/1533
2 × 1533 = 511 × 6
3066 = 3066
Correct
PLEASE HELP
What is the slope of the line shown below? (Enter your answer as a decimal if
necessary.)
(1, 2)
(-1, -4)
Answer:
-4-2/-1-1=-6/-2= 3
So the answer is 3
A. 2 in
B. 4 in
C. 8 in
D. 16 in