The inequalities are x + y < 5000 and 0.10x + 0.15y ≤ $450 which shows each month, you want to only spend up to $450 and use less than 5,000 minutes on both of the devices.c
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
Let's suppose the total minutes for cell phone is x
and total minutes for tablet is y
Then total minutes will be:
x + y < 5000 (less than 5,000 minutes on both of the devices)
And total cost:
0.10x + 0.15y ≤ $450
Thus, the inequalities are x + y < 5000 and 0.10x + 0.15y ≤ $450 which shows each month, you want to only spend up to $450 and use less than 5,000 minutes on both of the devices.
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Solve for the value of z :
5(z+4)+5(2-z)
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's evaluate ~
[tex]\qquad \sf \dashrightarrow \: 5(z + 4) + 5(2 - z)[/tex]
[tex]\qquad \sf \dashrightarrow \: (5 \cdot z) + (5\cdot4) + (5\cdot2) - (5\cdot z)[/tex]
[tex]\qquad \sf \dashrightarrow \: 5z + 20 + 10 - 5z[/tex]
[tex]\qquad \sf \dashrightarrow \: 5z - 5z+ 20 + 10[/tex]
[tex]\qquad \sf \dashrightarrow \: 30[/tex]
So, the equivalent expression is 30
Answer:
30
Step-by-step explanation:
Let us divide the whole expression by 5. Then we must multiply the whole expression by 5 to obtain the same value as before.
Thus, we get the following expression:
[tex]\implies\huge\text{[}\dfrac{5(z+4)+5(2-z)}{5}\huge\text{]} \times 5[/tex]
[tex]\implies\huge\text{[}\dfrac{(z+4)+(2-z)}{1}\huge\text{]} \times 5[/tex]
Now, open the inner-most parentheses as the expression inside the inner-most parentheses, cannot be simplified further.
[tex]\implies\huge\text{[}\dfrac{z+4+2-z}{1}\huge\text{]} \times 5[/tex]
It should be noted that any number being subtracted from the same number is equivalent to 0. Therefore, we get the following expression:
[tex]\implies\huge\text{[}\dfrac{4+2}{1}\huge\text{]} \times 5[/tex]
Simplify the expression inside the long brackets.
[tex]\implies\huge\text{[}\dfrac{6}{1}\huge\text{]} \times 5[/tex]
Now, we can open the long brackets and simplify the product of 6/1 and 5.
[tex]\implies\huge\text{[}\dfrac{6}{1}\huge\text{]} \times 5 = \dfrac{6 \times 5}{1} = \dfrac{30}{1} = 30[/tex]
Therefore, the simplified expression is 30.
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Can someone please help me?
Answer:
m1= 63°m2=117°m3=63°Step-by-step explanation:
a straight line equals 180°. so if one side is 117°, the other side would have to add up to 180.
180-117=63
And you can kind on figure out what is the same as the other angles. Hope his helps
3. Determine the probability that a randomly selected person has a birthday on the 29th day of a month.
Answer:
0.0308.
Step-by-step explanation:
There are 11 months out of the year which have a 29th day except for a leap year when all 12 have it.
Required probability = number of '29th' days in 4 years / total days in 4 years
= (3*11 + 12) / (3*365 + 366)
= 45/1461
= 0.0308.
A pizza has a diameter of 12in what is the Circumference
is the ordered pair (2,1) a solution for
[tex] y \leqslant \frac{3}{2} x + 3 \: show \: your \: work[/tex]
Answer:
put x= 2 and y = 1
and see this inequality will holds
Melissa needs to make a total of 80 deliveries this week. so far she has completed 16 of them. what percentage of her total deliveries has melissa completed?
Diego wondered how far sixth-grade students could throw a ball. he decided to collect data to find out. he asked 10 friends to throw a ball as far as they could and measured the distance from the starting line to where the ball landed. the table shows the distances he recorded in feet.
40 76 40 63 47 57 49 55 50 53
find the median and iqr of the data set.
on a later day, he asked the same group of 10 friends to throw a ball again and collected another set of data. the median of the second data set is 49 feet, and the iqr is 6 feet.
did the 10 friends, as a group, perform better (or throw farther) in the second round compared to the first round? explain how you know.
were the distances in the second data set more variable or less variable compared to those in the first round? explain how you know.
The median of the number recorded in the question is 51.5 feet. This is obtained by dividing the sum of two numbers that occur centrally in half.
What is median?The central value in a list ordered from smallest to largest is the median of a set of values.
What is the Inter-quartile Range (IQR) of an observation?The formula for the Inter-quartile range is given as:
IQR = Q₃- Q₁ (that is Median of the Upper Half Less the Median of the lower half)
Step 1 - First, let's arrange the numbers sequentially
→ 40, 40, 47, 49, 50, 53, 55, 57, 63, 76
Step 2 - Determine the upper and lower halves and their median
If the Lower half is 40, 40, 47, 49, 50, then it's median is 47
If the Upper half is 53, 55, 57, 63, 76, then its median is 57.
Hence:
IQR = 57 - 47
= 10 feet.
Given that the median of the second data set is 49 feet, and the IQR is 6 feet. Did the 10 friends, as a group, perform better (or throw farther) in the second?No, the friends didn't perform better in the second round because the was a significant drop in the median and the IQR. The median dropped from 51.5 to 47 and the IQR from 10 to 6.
It can be concluded that the distance in the second set of data is less variable when juxtaposed with those form the first set.
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4 meters to 100 centimeters
Answer:
This is incorrect because 1 meter is 100 centimeters. But then when you keep going and when you get to 4 meters, you would get 400.
For example:
1 meter - 100 centimeters
2 meters - 200 centimeters
3 meters - 300 centimeters
4 meters - 400 centimeters
Hope this helps!
Awnser the Question For 10 Pts!
rest of awnser: d: she didnt make a mistake
Answer:
Jace did not make a mistake, because the answers are the same. Jace just did the problem in a unique way.
Match each problem with its solution.
200
6
5
15
Jason is a party planner. In 124 packages, he has a total
of 1,860 balloons. If each package has the same number
of balloons, how many balloons are there in each package?
arrowRight
A plane has to travel 2,800 miles at an average speed of
560 miles per hour. How many hours will it take to reach
its destination?
arrowRight
An adult seal at a marine park consumes 2,400 kilograms
of food in one year. If it consumes the same amount of
food every month, how many kilograms of food does the
seal consume per month?
arrowRight
Andy and his roommates consume 180 bottles of orange
juice in 30 days. If they consume the same amount of
orange juice each day, how many bottles of orange juice
do they consume each day?
please let me know if you have an answer
The number of balloons on each package will be 15
How to calculate the problems?From the information, Jason is a party planner. In 124 packages, he has a total of 1,860 balloons and each package has the same number.
Therefore, the number of balloons on each package will be:
= 1860 / 124
= 15
When a plane has to travel 2,800 miles at an average speed of 560 miles per hour. The number of hours used will be:
= 2800/560
= 5
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Which equation represents the relationship between the Cost in dollars, C, and the pounds of apples, a, bought?
Nineteen years ago Sean was 28 years old. How old is he now?
PLEASE HELP! TY
A circle is centered at (4, -2) and has a radius of 11.
What is the equation of the circle?
Answer:(x-4)^2+(y+2)^2=121
Step-by-step explanation:
eqaution of circle is this
(x-h)^2+(y-k)^2=r^2
(x-4)^2+(y--2)^2=r^2
and 2 negatives make positive
(x-4)^2+(y+2)^2=r^2
and r^2=121
(x-4)^2+(y+2)^2=121
Need help please .The ares of the sector shown below is 59 yd^2 find the length of the radius. Round to the nearest whole number use 3.14 for pi
[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ A=59\\ \theta =40 \end{cases}\implies 59=\cfrac{(40)\pi r^2}{360}\implies 59(360)=40\pi r^2 \\\\\\ \cfrac{59(360)}{40\pi }=r^2\implies \cfrac{531}{\pi }=r^2\implies \sqrt{\cfrac{531}{\pi }}=r\implies 13\approx r[/tex]
Select the equation that matches the written description.
A number, y is eight less than negative nine times a number,x.
(А)
y = -4x + 8
B
y = 3x + 8
y = -9x - 8
D
y = 5x + 8
Answer:
C. y = -9x - 8
Step-by-step explanation:
Setting up the equation:
eight LESS (so minus sign before the 8) THAN (so 8 is being subtracted from the -9x) negative (-) nine TIMES (multiplication) a number, (variable) x.
We want to get the variable y alone, so this can be written as y = -9x - 8
F(3) = 2x - 4 help me please
Answer:
f(3) = 2
Step-by-step explanation:
Remark
The formula starts out as
f(x)= 2x - 4
So what is telling you is that were ever you see a variable on the right, it can from the x on the left.
If you change the variable on the left, you must also do it on the right.
f(3) = 2*3 -4
f(3) = 6-4
f(3) = 2
Solve for the variable:
-3-√5x² = 2
Answer:
No solution or Undefine
Step-by-step explanation:
What is the additive inverse of the complex number –12 4i? –12 – 4i –12 4i 12 – 4i 12 4i
The additive inverse of the complex number -12 + 4i is 12 - 4i
How to determine the additive inverse?The complex number is given as:
-12 + 4i
The additive inverse of a complex number a + bi is -a - bi
This means that the additive inverse of -12 + 4i is 12 - 4i
Hence, the additive inverse of the complex number -12 + 4i is 12 - 4i
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Answer:
It's C
Step-by-step explanation:
28. Daniel uses 18 pints of water to fill 8 bottles. He
pours the same amount of water into each bottle.
How many pints of water does he pour into each
bottle?
A.
bol.co
x
5 6 7 8 9
R.
O B.22
OC.
O D. 2
090
mmo
Answer:
The answer choices are garbled.
Step-by-step explanation:
(18 pints)/(8 bottles) = (9/4) pint/bottle
2 and 1/4 pints per bottle
What is the slope of a line that goes through (2,-2) and (5,6)?
Step-by-step explanation:
The slope formula from 2 points is:
m=(y2-y1)/(x2-x1)
So input the numbers:
m = (6 - -2) / (5 - 2)
Solve within parenthesis:
m = (8) / (3)
Then divide!
8/3 = 2 2/3
the slope of the line is 2 and 2/3
Find the arc length of the circle with a central angle of 30 degrees and a radius 12. Leave the answer in terms of π.
[tex]\text{Arc length,}\\\\s = r \theta \\\\~~=12\cdot \left(30 \times \dfrac{\pi}{180} \right)\\\\~~=12\cdot \dfrac{\pi}6\\\\~~=2\pi[/tex]
6 + 33 divided by 9 what is it
Answer:
I think its 4.9
Step-by-step explanation:
i used a calculator
Answer:
6+33/9 ≈ 9.67
Step-by-step explanation:
first you have to divide 33 by 9 getting roughly 3.67
once you have that u add 6
roughly giving you 9.67
pls help i’ll give 20 points and brainliest
Answer:
all you have to do is plug points into the equation m=(x1-x2)/(y1-y2) to find the slope. then choose one of the points to plug into the equation y-y1=m(x-x1).
Step-by-step explanation:
use the formulae for each question.
Circle K has a radius of 8 inches. Diameter AKC is drawn and point F is located on the circle such that
FC = 6. Which of the following is closest to the length of FA?
(1) 5.3
(2) 8.7
(3) 12.4
(4) 14.8
If Circle K has a radius of 8 inches. The figure that is closest to the length of FA is: 14.8.
LengthMAC=1/2×360°=180°
mΔAFC=1/2×180°=90°
Circumference angle theorem
AK=8
AC=2
AK=16
Pythagorean theorem
FA²+FC²=AC²
Substitution
FA²+6²=16²
FA²+36=256
FA²=√220
FA=14.8
Therefore the figure that is closest to the length of FA is: 14.8.
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Determine if square root of three is rational or rational and why
Answer:
Irrational
Step-by-step explanation:
If the number goes on and on it’s irrational
Hope this helps! ;-)
Answer:
It is not rational because the square root of 3 is not a fraction nor a repeating decimal.
Help me i dont get this
Answer:
Step-by-step explanation:
88 / 184 ≈ 0.48
96 / 184 ≈ 0.52
104 / 166 ≈ 0.63
62 / 166 ≈ 0.37
A rectangular cloth of length 10 1/2 m and 7 2/3 m wide used to make the UAE national flag. Find the perimeter of the flag.
Answer:
36.32 m
Step-by-step explanation:
perimeter = 2(l+b) = 2(10.5 + 7.66)
=2(18.16)= 36.32 m
PLEASE HURRY (NEED ANSWER ASAP)
The length of the shorter diagonal is 5.241 units and the length of the longer diagonal is 14.371 units
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let p and q represent the length of the diagonals.
Hence:
[tex]p=\sqrt{9^2+6^2+2(9)(6)cos(34)}=14.371\ units\\\\q=\sqrt{9^2+6^2-2(9)(6)cos(34)}=5.241\ units[/tex]
The length of the shorter diagonal is 5.241 units and the length of the longer diagonal is 14.371 units
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To the nearest yard, what amount of fencing is needed to surround the perimeter of the picnic area? 95 yards 107 yards 160 yards 190 yards
The perimeter of the picnic area is 107 yards
Complete Question:A triangular picnic area has the side lengths of 45, 31 and 31 yards; To the nearest yard, what amount of fencing is needed to surround the perimeter of the picnic area? 95 yards 107 yards 160 yards 190 yards
How to determine the perimeter?From the complete question, we have:
Shape: Triangle
Side lengths = 45 yards, 31 yards, 31 yards
The perimeter is the sum of the side lengths.
So, we have:
Perimeter = 45 + 31 + 31
Evaluate
Perimeter = 107
Hence, the perimeter of the picnic area is 107 yards
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Answer:B
Step-by-step explanation:
107 Yards
A straight angle equals 180 degrees is true or false?
Answer:
True
Step-by-step explanation:
Straight angles are straight lines which equal 180 degrees
Answer:
true it is equals 180 for that angle