Answer:
1) 6 & 2)12
Step-by-step explanation:
Solve the equations backwards-
1) Subtract 6 from 36, and then divide by 5.
36 = 6 + 5x
(36 - 6)/5 = x
x = 6
2) Subtract 7 from 43, and then divide by 3.
43 = 7 + 3y
(43 - 7)/3 = y
y = 12
in a supermarket, bottles of lemonade are on a buy one get one half price offer.
The normal price of lemonade is 82p.
How much would it cost to get exactly three bottles of lemonade using this offer?
£
Answer: 114p
Step-by-step explanation:
Hope it helps
Under his cell phone plan, Nathaniel pays a flat cost of $41 per month and $4 per gigabyte. He wants to keep his bill at $45.80 per month. Write and solve an equation which can be used to determine 2, the number of gigabytes of data Nathaniel can use while staying within his budget.
Answer:
equation: 41+4x=45.80
answer: x=1.20
Step-by-step explanation:
The equation is $45.80 = $41 + ($4 × x) which can be used to determine the number of gigabytes of data Nathaniel can use while staying within his budget. And Nathaniel can use up to 1.2 gigabytes of data while staying within his budget of $45.80 per month.
Let's denote the number of gigabytes of data Nathaniel can use as x.
Then the equation representing his cell phone bill can be set up as:
Total cost = Flat cost + (Cost per gigabyte × Number of gigabytes)
$45.80 = $41 + ($4 × x)
Now, we can solve for x:
$4 × x = $45.80 - $41
$4 × x = $4.80
x = $4.80 / $4
x = 1.2
So, Nathaniel can use up to 1.2 gigabytes of data while staying within his budget of $45.80 per month.
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20 points.
The midpoint of AB is (-9, -10) and the coordinates of point A are (-1, 9) what are the coordinates of point B?
Answer:
B = (-17, -29)
Step-by-step explanation:
The midpoint (M) of AB is ...
M = (A +B)/2
Solving for B gives ...
B = 2M -A = 2(-9, -10) -(-1, 9) = (-18+1, -20 -9)
B = (-17, -29)
44,880 2 poir 8) A pen cost $39 and a pencil cost $17 less. What is the total cost of one pen and two pencils? *
Answer:
check online for more information
Help me please please
Answer:
a.11
b.20
c.44
d.5
e.60
f.12
g.4
h.40
i.900
j.6
Step-by-step explanation:
hope this helps
Can someone please help me with this question
Step-by-step explanation:
please mark me as brainlest
-233.2 - 25.8
Please help.
Answer:
-259
Step-by-step explanation:
brainliest
Answer:
-259
Step-by-step explanation:
Subtracting a negative number is the same as adding a positive number — that is, go up on the number line. This rule works regardless of whether you start with a positive number or a negative number.
When subtracting a negative number, remember that the two back-to-back minus signs cancel each other out, leaving you with a plus sign.
Subtracting Negative and Positive Integers
To subtract integers, change the sign on the integer that is to be subtracted.
If both signs are positive, the answer will be positive.
Example: 14 - (-6) = 14 + 6 = 20
If both signs are negative, the answer will be negative.
Example: -14 - (+6) = -14 - 6 = -20
If the signs are different subtract the smaller absolute value from the larger absolute value. The sign will be the sign of the integer that produced the larger absolute value.
Example: 14 - (+6) = 14 - 6 = 8
Example: -14 - (-6) = -14 + 6 = -8
In order to verify the equation sin (θ +π/4) =-cosθ. What value would you need to know besides sin (π/4)?
Group of answer choices
a cos (π/4)
b sin (2π/3)
c tan (2π/3)
d cos ((-π)/3)
Answer: A cos (π/4)
I just took a test with this question and got it right
Use the picture below to answer the question. The measure of angle 3 is 50 degrees. What is the measure of angle 6?
If p is the smallest of four consecutive even integers, what is their sum interms of P?
plz be fast
I need full step by step the explanation
The sum in terms of p of four consecutive even integers with p been the smallest is 4(p + 3)
Even numbers are numbers that can be divided into two equal groups and they can be easily divisible by 2 without any remainder.
p is the smallest of the four consecutive even integers. This means p come first and it is the first term of the numbers.
Therefore, the 4 consecutive even integers is represented as follows;
p, p + 2, p + 4, p + 6
So the sum is equal to:
sum = p + p + 2 + p + 4 + p + 6
sum = 4p + 12
sum = 4(p + 3)
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5. Put the decimals in order from least to greatest. 1.23, 1.023, 1.203, 1.032
Answer:
1.023,1.032,1.203, and 1.23
Step-by-step explanation:
What is the distance between the points (5, 1) and (-3, -5)?
Answer: 10
Step-by-step explanation: d = √(x^²-x^₁)^2+(y^²-y^₁)^2 d = √ (-3-5)^2+ (-5-1)^2 d = √(-8)^2 + (-6)^2 d = √64+36 d = √100 d = 10
What is x, the distance between points A and A'? 2. 4 units 4. 8 units 13. 6 units 14. 4 units.
The distance between points A (3, -5) and A' (2, -3) is 2.4 units.
Given that,
The points A (3, -5) and A' (2, -3).
We have to determine,
The distance between point A and A'.
According to the question,
The distance between two points is determined by using the distance formula.
[tex]\rm Distance \ formula = \sqrt{(x_2-x_2) ^2+ (y_2-y_2)^2[/tex]
Then,
The distance between points A (3, -5) and A' (2, -3) is,
[tex]\rm Distance = \sqrt{(2-3) ^2+ ((-3)-(-5))^2}\\\\ Distance = \sqrt{(-1) ^2+ (2)^2}\\\\ Distance = \sqrt{1+4}\\\\Distance = \sqrt{5}\\\\Distance = 2.4 \ units[/tex]
Hence, The distance between points A (3, -5) and A' (2, -3) is 2.4 units.
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Answer:
13.6 units
Step-by-step explanation:
Edge
What is 2,200 yards in miles? Round to the nearest tenth of a mile.
Answer:
1.25 mi
Step-by-step explanation:
First, we want to convert a yard into feet; recall 1 yard = 3 feet.
Then we want to divide that by the number of feet in a mile 1 mile = 5280feet.
So 2200*3 =6600, then divide by 5280
6600/5280 = 1.25 mi
2200 yard is 1.25 miles
There are 1.3 miles in 2,200 yards.
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
Examples:
1 hour = 60 minutes
1 minute = 60 seconds
1 km = 1000 m
We have,
2,200 yards ____(1)
1 mile = 1760 yards _____(2)
Now,
From (1) and (2),
1 mile = 1760 yards
Multiply 2,200/1760 on both sides.
2,200/1760 x 1 mile = 2,200/1760 x 1760 yards
1.25 miles = 2,200 yards
Rounding to the nearest tenths.
1.3 miles = 2,200 yards
Thus,
There are 1.3 miles in 2,200 yards.
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solve the equation on the interval [0, 2π).
3(sec x)^2 -4=0
[tex] \: \: \: \: \: [/tex]
[tex]x = \frac{\pi}{6} , \frac{(k)\pi}{6} , \frac{(5)\pi}{6} , \frac{(k)\pi}{6} [/tex]
refer to the attachmenthope it helpsy=4x−9y, equals, 4, x, minus, 9
Complete the missing value in the solution to the equation
Answer:
(3,3)
Step-by-step explanation:
To find the y - value that corresponds to x=3 , substitute the x - value in the equation.
y=4x-9
y=4*3-9
y=12-9
y=3
Therefore, (3/3) is the solution to the equation.
I hope it helps.
Answer:3,3
Step-by-step explanation: bc khan
On average, a squirrel lives to be 6.5 years old. The lifespan of a squirrel may
vary by as much as 1.5 years. What is the range of ages that a squirrel lives?
Answer:
5-8
Step-by-step explanation:
6.5-1.5 = 5
6.5+1.5= 8
please someone help me quickkkkk
Answer: B
Step-by-step explanation: this equation is written in slope intercept form, which represents: y = mx + b. m = the slope and b = the y intercept.
The y intercept of that line 3, since that is the value of y when x equals 0. If we go from that point to the next one up. Notice how the value of x and y is changing. We go over by 1 and up by 2. That can be written as 2/-1 or 2.
HOWEVER, since the slope is going down from right to left, it has a a negative slope. Meaning the slope is a -2 not a positive 2.
Now, let's insert our values into the equation y = mx + b. That would be:
y = -2x + 3 which is B and therefore our answer
Sally bought two shirts that cost $6.99 each. The sales tax rate was 7%. What was the total amount Sally paid?Question 3 options:$0.98$7.48$14.05$14.96
Answer: $14.96
Step-by-step explanation:
13.98 + .98 = 14.96
The total amount paid by Sally is $ 14.96
What is Sales Tax?
The Sales tax is calculated by the equation
Sales tax rate = Sales tax percent / 100
Sales tax = List price x Sales tax rate
Given data ,
List price of the shirt Sally bought = $ 6.99
Number of shirts Sally bought = 2 shirts
Total price of 2 shirts = 2 x 6.99
= $ 13.98
So , List price = $ 13.98
Sales tax rate = 7 %
Total amount paid by Sally = List price + Sales tax
Now , Sales tax is calculated by
Sales tax = List price x Sales tax rate
= 13.98 x 0.07
= 0.9786
Therefore , total amount paid by Sally = List price + Sales tax
= 13.98 + 0.9786
= $ 14.9586
≈ $ 14.96
Hence , the total amount paid by Sally is $ 14.96
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Help plzzz!! Find the slope through these pairs of points
(5,-15),(12,2)
(-18,-20),(6,-5)
(-18,-19),(-17,-19)
(-1,3),(-11,-17)
hlo do this question plz
out of 9o civil servants 65 were working in the office ,50 were working in the field and 35 were working in both the premises .
a)How many civil servants were absent ?
B)How many civil servants were working in the field only?
Answer:
(a): 10 civil servants who were absent.
(b): 15 civil servants are in field only.
Step-by-step explanation:
Let;
Civil servants in office be oCivil servants in field be f[tex]{ \rm{ \sum(n) = 90}} \\ \\ { \rm{n(o) = 65}} \\ \\ { \rm{n(f) = 50}} \\ \\ { \rm{(o \: { \huge{n}} \: f) = 35}}[/tex]
Question (a):
Let the absentees be x
[tex]{ \rm{x + (65 - 35) + (50 - 35) + 35 = 90}} \\ \\ { \rm{x + 80 = 90}} \\ \\ { \rm{x = 10}}[/tex]
There are 10 absentees.
Question (b):
Servants in field only;
[tex]{ \rm{n(f \: only) = 50 - 35}} \\ \\ { \rm{n(f \: only) = 15 \: servants}}[/tex]
There are 900 seats on a train. 540 of the seats are empty. What percentage of the seats on the train are empty?
60% of the seats on the train are empty
you have to divide 900 by 9 to get 100 because percents are out of 100, then you have to divide 540 by 9 also.
Answer:
60%
Step-by-step explanation:
Because there are 540 empty, and 900 total, you need to divide 540 by 900.
540/900=54/90=6/10=60/100
When you get 60/100, or 0.6, you know that it is 60 percent because percent is out of 100.
What is the value of x?
A. 73°
B. 71°
C. 70°
D. 68°
We have: 540° = 180° - x° + 180° - 52° + 93° + 180° - (x+3)° + 180° - 78°
⇒ 2x° = 140° ⇒ x° = 70°
The answer is C. 70°
ok done. Thank to me :>
Evaluate the expression to find out how much she will pay if she drives 100 miles.
250 + 0.80m
Henry bought 9 3/4 pounds of oranges at the market. If the oranges cost $1.20 per pound, how many did Henry pay for the oranges.
Answer:
Henry payed $ll.70
Step-by-step explanation:
1.20 times 9 3/4 (or 9.75) equals 11.7
One spinner has three equally sized sectors labeled R, S, and T. A second spinner has two equally sized sectors labeled 3 and 5. Each
spinner is spun once.
What is the sample space of outcomes?
Answer:
3rd option
Step-by-step explanation:
The sample space of outcomes, when two spinners, one with three equally sized sectors labeled R, S, and T and the other with two equally sized sectors labeled 3 and 5 spun once, is {R3, R5, S3, S5, T3, T5}.
What is sample space?Sample space is the set of all the possible values or the outcomes of an event.
Let suppose the coin is tossed two times. Then the set of possible outcomes or sample space of it can be given as,
[tex]S=\{HH,HT,TH,TT\}[/tex]
Here, H denotes the head and T denotes the tail part of the coin.
In the given problem,
One spinner has three equally sized sectors labeled R, S, and T. A second spinner has two equally sized sectors labeled 3 and 5. Each spinner is spun once.
The sample space when are {R3, R5, S3, S5, T3, T5}. Thus, there is a total of 6 outcomes of the event.
Hence, the sample space of outcomes, when two spinners, one with three equally sized sectors labeled R, S, and T and the other with two equally sized sectors labeled 3 and 5 spun once, is {R3, R5, S3, S5, T3, T5}.
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There are blue, red and white counters in a bag in the ratio 16 3 2 There are 112 more blue counters than white counters. How many white counters are there?
We will have 16 white counters in the bag.
Given that there are blue, red, and white counters in a bag in the ratio 16:3:2, the total number of balls will be:
Total = 16 + 3 + 2Total = 21If there are 112 more blue counters than white counters, then;
number of blues = number of white + 112
16x = 2x + 112
14x = 112
x = 8
Number of white counters = 2x = 2(8) = 16
Therefore we will have 16 white counters in the bag.
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Which of the following is a true statement?
A. A number is divisible by two and three if the number ends in a 0, 2, 4, 6, or 8.
B. A number is divisible by three and nine if the sum of the digits is divisible by three.
C. A number is divisible by nine if the last two digits are divisibly by nine.
D. A number is divisible by six if the number is divisible by both two and three.
1.3 ½ days=______hrs.
2.2400 mm=_______meter
3.1 hr and 20 min.=______seconds
4.100 kilograms=______grams
5.104 °C =_______°F
2y = 3x-1
4x/y + 9y/x = 15
Find x and y
Answer:
(x, y) = (3/7, 1/7) or (3, 4)
Step-by-step explanation:
The second equation can be rearranged to ...
4x^2 +9y^2 = 15xy . . . . . . multiply by xy
4x^2 -15xy +9y^2 = 0 . . . subtract 15xy
(4x -3y)(x -3y) = 0 . . . . . . factor
This resolves to two linear equations:
4x -3y = 0
x -3y = 0
__
Combined with the first equation, we get two systems of equations. We can solve both of them at once by substituting for y and using a stand-in for the coefficient of x.
y = (3x -1)/2 . . . . first equation solved for y
Cx -3(3x -1)/2) = 0 . . . . substitute for y in the 2nd/3rd equations (C = 1 or 4)
2Cx -9x +3 = 0 . . . . . multiply by 2
x(2C -9) = -3 . . . . . . .subtract 3
x = -3/(2C -9) = 3/(9 -2C) . . . . . remembering that C = 1 or 4
__
For C=1, x = 3/(9 -2) = 3/7
y = (3(3/7) -1)/2 = 1/7
For C=4, x = 3/(9 -8) = 3
y = (3(3) -1)/2 = 4
The solutions are (x, y) = (3/7, 1/7) and (3, 4).
_____
Additional comment
We could have substituted for y in the quadratic form of the second equation. This would give a quadratic in x that could be solved in any of the usual ways.
