Solve and graph the inequality. −22<4x−2≤10
Step-by-step explanation:
-22 < 4x - 2 ≤ 10
-20 < 4x ≤ 12
-5 < x ≤ 3
Order each set of cards from least to greatest. a. .,⎯⎯⎯⎯√,0.25 , comma , square root of 1 ninth end root , comma , 6 twenty fifths b. ⎯⎯⎯⎯⎯⎯⎯√,.,⎯⎯√square root of 121 over 25 end root , comma , 2.25 , comma square root of 5
Given:
a. [tex]\sqrt{0.25},\sqrt{\dfrac{1}{9}},\dfrac{6}{25}[/tex]
b. [tex]\sqrt{\dfrac{121}{25}},2.25,\sqrt{5}[/tex]
To find:
The correct order for each set of cards from least to greatest.
Solution:
a. [tex]\sqrt{0.25},\sqrt{\dfrac{1}{9}},\dfrac{6}{25}[/tex]
Convert all numbers in decimal form.
[tex]\sqrt{0.25}=0.5[/tex]
[tex]\sqrt{\dfrac{1}{9}}=\dfrac{1}{3}=0.333...[/tex]
[tex]\dfrac{6}{25}=0.24[/tex]
It is clear that,
[tex]0.24<0.33...<0.5[/tex]
[tex]\dfrac{6}{25}<\sqrt{\dfrac{1}{9}}<\sqrt{0.25}[/tex]
Therefore, the required order is [tex]\dfrac{6}{25},\sqrt{\dfrac{1}{9}},\sqrt{0.25}[/tex].
b. [tex]\sqrt{\dfrac{121}{25}},2.25,\sqrt{5}[/tex]
Convert all numbers in decimal form.
[tex]\sqrt{\dfrac{121}{25}}=\dfrac{11}{5}=2.2[/tex]
[tex]2.25[/tex] already in decimal form.
[tex]\sqrt{5}\approx 2.236[/tex]
It is clear that,
[tex]2.2<2.236<2.25[/tex]
[tex]\sqrt{\dfrac{121}{25}}<\sqrt{5}<2.25[/tex]
Therefore, the required order is [tex]\sqrt{\dfrac{121}{25}},\sqrt{5},2.25[/tex].
THIS WILL HELP ME ALOT
HELP ASAP
Which expression represents the prime factorization of 450?
A. 2 x 3 x 5 x 5
B. 2 x 2 x 5 x 5
C. 2 x 3 x 3 x 5 x 5
D. 2 x 2 x 3 x 5 x 5
Answer:
C
Step-by-step explanation:
2*3*3*5*5 =450
find the values of x and y (2y+5) + (5x-17) +( 3x-11)
Step-by-step explanation:
Hey there!!
You can simply work with it.
(5x - 17)° + (3x - 11)° = 180° { Being a linear pair}.
or, 8x - 28°= 180°
8x = 180° + 28°
[tex]x = \frac{208}{8} [/tex]
Therefore, the value of x is 26°.
Now,
3x - 11°= 3×26°-11° = 67°
Again,
67°+90°+(2y+5)° = 180° { being linear pair}.
157°+2y+5° = 180°
or, 2y + 162° = 180°
or, 2y = 180° - 162°
[tex]y = \frac{18}{2} [/tex]
Therefore, the value of y is 9°.
The value of x is 26° and y is 9°.
Hope it helps....
cuál es la suma de los primeros 30 términos de la sucesión 1,2,3,4
Answer:
465
Step-by-step explanation:
1 + 2 + 3 + ... + n = n(n + 1)/2
1 + 2 + 3 + ... + 30 = 30(31)/2 = 465
A square drawing for a triangular lot measures 6.8 cm by 12.3 cm. The scale is 5 cm: 25 m. Find the area of the parking lot.
5/25 = 6.8/x
5x = 170
x = 34
5/25 = 12.3/x
5x = 307.5
x = 61.5
34(61.5) = 2091 m2
hope it helps :)
-0.8 x 1.8 x (-0.5)=
[tex]\rm{\pink{\underline{\underline{\blue{SOLUTION:-}}}}}[/tex]
- 0.8 × 1.8 × (-0.5)
= -0.8 × (-0.5) × 1.8
[ - ] × [ - ] = [ + ]= + 0.4 × 1.8
= 0.72
The temperature at 6:00p.m. was 7 degrees Celsius. The temperature dropped 2 degrees every hour. What was the temperature at 11:00 p.m.
Answer:
7 Celsius to Fahrenheit is 44.6.
There is a five hour gap.
The tempature drops two degrees per hour. So, multiply.
2 x 5 = 10.
Subtract 10 from 44.6.
You get 34.6.
34.6 is the answer.
four boys evenly split 4 1/2 gallons of ice cream. how much will each get
Answer:
each boy would get 1 1/8 gallons of ice cream
Answer:
1.125 or 9/8
Step-by-step explanation:
4 1/2 divided by 4.
Place elementary school is raising money. they raise $90 a week. how long will it take to raise $900?
Answer: It will take 10 weeks! :)
Step-by-step explanation:
So let's look at this together.
The question states that they raise 90$ per week.
There's two ways you can do this
You can multiply,
Think, what times 90 will equal 900? The answer is 10!
90 x 10= 900!
(if you need help with multiplication, let me know)
Or you can divide.
900/90=10!
(if you need help with division, let me know)
So it would take, in total, 10 weeks to raise 900 dollars.
is 89.396668 ratinal or irrational
Answer:
The number is rational
Step-by-step explanation:
89.396668 is terminating decimal number
Therefore it is rational.
Answer:it is a rational number
in the following figure, how many planes are shown
Answer:
5 planes
Step-by-step explanation:
A plane is a surface joining three points.
Planes are the flat two dimensional surfaces which extends infinitely far.
From the figure attached planes are,
ABC, DEF, ABE, BCD, ACD
Therefore, there are five planes shown in the given picture attached.
There are (43)2 ⋅ 40 strawberries on a farm. What is the total number of strawberries on the farm? (1 point) 3,2,and0 are above four
Step-by-step explanation:
40 strawberries in the farm
Answer:
46
Step-by-step explanation:
There are 46 of straws on the farm
PLZZZZ HELP ME!!!!! I WiLL MARK U AS BRAINLIEST
Answer:
Step-by-step explanation:
I would say you can distribute the money by saving $25 dollars for your medium and log term and $50 for your short term. Because you will eventually raise enough from your paycheck to get your laptop. Then, once you get your laptop you put more money to your other terms.
need an awser please help
Answer:
A
Step-by-step explanation:
Perimeter of a rectangle is 2(L+W)
2(37+28)=130 cm and the width should be less than the length by nine so 37-28=9
What is 3 over 5 + 1 over 9
Answer:
2/5
Step-by-step explanation:
3/5 + 1/9
= 12+6/45
= 18/45 which is 2/5
What is the probability that the following would occur ? A spinner with 4 equally spaced sections numbered 1 through 4 is spun and lands on 1 , then a die is tossed and rolls a 1
The spinner alone: 1/4
The dice alone: 1/6
Together: 1/4*1/6=1/24
1/24
What is the value of x? 0.9(x+1.4)−2.3+0.1x=1.6 Help quick
Answer:
x= 2.64
Step-by-step explanation:
sorry im a little late but thats the answer!
11. A bottle of shampoo cost $7. You have $16 and a coupon for a
$5 discount at Walmart. How many bottles of shampoo can
you buy?
I
Answer:
3 bottles
Step-by-step explanation:
you equation is 7x-5=16
you add 5 to both sides which gets you 7x=21
then you divide 7 by both sides that gets you x=3
a rectangular picture has a length of 9 1/2 feet and width of 7 7/8 feet. How will you determine how much border is needed.
a. add 9 1/2 and 7 7/8
b. multiply 9 1/2 and 7 7/8
c. estimate with length 9 feet and width 7 feet
d.estimate with length 10 feet and length 8 feet
Answer:
c) part
Step-by-step explanation:
what is the answer to 6(x+1)-5x=8+2(x-1)
Answer:
answer is X=0
mark this as brainiest.
3 times an unknown number is 21. Find the unknown number. The unknow number is
Answer:
The answer is 7
Step-by-step explanation:
Because 7 times 3 will give you 21, just divide 21 by 3.
Answer:
The answer is 7
Step-by-step explanation:
7+7+7=21
3×7=21
Which number is not in scientific notation?
0.95 ⋅ 108
1.1 ⋅ 105
7.00 ⋅ 108
9.9 ⋅ 10−28
Answer: I think the answer is 9.9 . 10-28
Answer:
The 7.00 and 10^8 is not in scientific notation because 7.00 can be written as 7 in scientific notation.
Point W is on line segment V X. Given W X = 2 and V X = 17, determine the
length VW.
Answer:
VW = 19 units
Step-by-step explanation:
Here, we are to determine the value of the length of VW
Mathematically;
VW = VX + WX
VW = 17 + 2
VW = 19 units
Which represents the solution set of the inequality 5x-9<21
Answer:
x < 6
Step-by-step explanation:
5x -9 < 21
then add 9 to both sides
5x< 30
divide by five
x<6
Serena wants to create snack bags for a trip she is going on. She has 6 granola bars and 10 pieces of dried fruit. If the snack bags should be identified without any food leftover, what is the greatest number of snack bags Serena can make?
Answer:
2
Step-by-step explanation:
Given the question :
Serena wants to create snack bags for a trip she is going on. She has 6 granola bars and 10 pieces of dried fruit. If the snack bags should be identified without any food leftover, what is the greatest number of snack bags Serena can make?
Number of granolas = 6
Number of dried fruits = 10
Since the snackbag is to be designed in such a way that there should be no food leftover, the greatest number of snack bags Serena can make could be obtained by getting the highest common factor of (6 and 10)
____6____10
2___3____5
Here, the highest common factor of 6 and 10 is 2
Hence, the greatest number of snack bags she can make is 2.
what is 12 times 12 plus 10 . the answer is 154
Answer:
Yes, that is correct.
Step-by-step explanation:
Let's start with the order of operations.
12 x 12 = 10
Are there any brackets? No.
Exponents? No.
Multiplication or division? Yes!
12 x 12 = 144
144 + 10
Addition or Subtraction? Yes!
144 + 10 = 154
So, 154 is right!
For the following questions use the points (1,5) and (6,8) What is the slope for the two points?
1/2(6h – 4) = -5h + 1
Answer: h= 3/8
Step-by-step explanation:
1/2 (6h-4)=-5h+1
distribute
1/2*6h+1/2*-4=-5h-1
3h+-2=-5h+1
add 5h to both sides
8h-2=1
add two to both sides
8h=3
divide both sides by 8
h= 3/8
Please answer the question in the pictures.
1. Alternate exterior angles
2. Vertical angles
3. Alternate interior angles
Hope that helped :)