Answer:
[tex]4<QR<14[/tex]
5, 6, 7, 8, 9, 10, 11, 12, and 13.
Step-by-step explanation:
We can use the triangle inequality. By the triangle inequality, the sum of any two sides of a triangle must be greater than the remaining side.
In other words, the sum of the two shorter sides must be greater than the longest side.
We know that PQ is 5 and PR is 9.
For the first case, let's say that neither PQ nor PR is the longest side. Instead, QR is the longest side. Then their sum must be greater than QR. Thus:
[tex]5+9>QR\Rightarrow QR<14[/tex]
However, for the second case, let's say that QR is not the longest side. In this case, PR will be the longest side. Therefore, QR plus PQ must be greater than PR:
[tex]QR+5>9\Rightarrow QR>4[/tex]
Thus, we have a compound inequality:
[tex]4<QR<14[/tex]
Therefore, the possible whole-number lengths of QR are:
5, 6, 7, 8, 9, 10, 11, 12, and 13.
Which is a better deal?
A. 5 bananas for $1.25
B. 6 bananas for $1.40
Order the numbers from least to greatest.
3
) 26.2, 262%,2
5
Answer:
262%,25,26.2
262% is the same as 2.62 so it is smaller than 25. 25 is smaller than 26.2
Please help!!!
What is EG?
Answer:
EG = 2x+6
Step-by-step explanation:
EF= xFG= x+6EG= EF + FG → EG = (x) + (x+6) = x+x + 6= 2x+6If you want a more accurate answer, please send the complete question form
Tom is burning CDs of music he loves. He can burn a CD in 4/5 of an hour. If he has 8 spare hours this week, find 8÷4/5, the number of CDs he can burn in his spare time.
Answer: 10 CD's
Step-by-step explanation:
Given
Tom can burn a CD in [tex]\frac{4}{5}\ \text{of an hour}[/tex]
If he has 8 spare hours in the week, he can burn
[tex]\Rightarrow 8\div \frac{4}{5}=\dfrac{8}{\frac{4}{5}}\\\Rightarrow \dfrac{8\times 5}{4}=2\times 5=10\ \text{CD}[/tex]
What is the value of r?
r= 4 ft
r= 8 ft
r = 16 ft
r = 32 ft
R=8ft
Step-by-step explanation:
Calculate r using the given formula
r = , with Area = 64π
r = ← cancel π on numerator/ denominator
r = = 8
The required value of radius of circle r is 8 ft
From Figure the area of circle is = 64π, we have to find the radius of the circle.
What is area of circle?Area of the circle is = π[tex]r^2[/tex]
since
the area of the circle is given = 64π
And,
Radius = √area/π
radius= √64π/π
Radius = √64
Radius = 8 ft
Thus The required value of radius of circle r is 8 ft.
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Find the side of a cube if its volume is 1331 cm³.
Answer:
▶ 11 cmStep-by-step explanation:[tex] \: [/tex]
Given:Volume of cube = 1331 cm3To Find:The side of a cubeSolution:[tex] \: [/tex]
We know that,
☯ Volume of Cube = (Side)³ = 1331
Side = (11 × 11 × 11) [tex] \sf{\frac{1}{3} }[/tex]
[tex] \tt{ \leadsto \: 11 \: cm}[/tex]
Hope it helps! :)
Sorry for the bad quality of the picture but my sister in 6th grade needs help with this problem and I forgot how to do this.. so please help meee.....
Answer:
The answer to number 2 is X = 7
Step-by-step explanation:
9 = 2 +
9 = + 2
Subtract 2 from both sides of the equation
= 7
Answer:
2. =7
3. 9 - 7 = 2
Step-by-step explanation:
What is the length and width of a rectangle with an area of 40square meters and a perimeter of 28 meters
Answer:
Dimensions are:
Length = 4 ; width = 10
or
Length = 10 ; width = 4
Step-by-step explanation:
let the length = L
let the width = W
we are given the following:
area of rectangle = L × W = 40 m² - - - - - - ( 1 )
perimeter of a rectangle = 2L + 2W = 28 m - - - - - ( 2 )
from equation (2)
2L + 2W = 28
2L = 28 - 2W
dividing both sides by 2
(2L = 28 - 2W) ÷ 2
L = 14 - W - - - - - - (3)
Next, let us replace the value of L in equation 1 with equation 3
L × W = 40 - - - - (1)
where L = 14 - W
(14 - W) × W = 40
14W - W² = 40
0 = W² - 14W + 40
solving the quadratic equation
using completing the squares method
W² - 14W + 40
W² [-4W - 10W] + 40 = 0
(W² - 4W) - (10W + 40) = 0
W(W - 4) - 10(W - 4) = 0
W - 10 = 0; ∴ W = 10
or
W - 4 = 0 ; ∴ W = 4
putting the values of W into equation (3)
L = 14 - W
where W = 10 or 4
L = 14 - 10 = 4
or L = 14 - 4 = 10
∴ Dimensions are:
Length = 4 ; width = 10
or
Length = 10 ; width = 4
can someone help PLEASE
On a coordinate plane, 2 cube root functions are shown. The first cube root function is a solid line and goes through (negative 8, 2), has an inflection point at (3.5, 4), and goes through (4, 5). The second cube root function is a dashed line and is represented by the equation f (x) = RootIndex 3 StartRoot x EndRoot. The function goes through (negative 8, negative 2), has an inflection point at (0, 0), and goes thorugh (8, 2).
Which equation is graphed along with the parent function?
g(x) = RootIndex 3 StartRoot x + 3 EndRoot + 4
g(x) = RootIndex 3 StartRoot x minus 3 EndRoot + 4
g(x) = RootIndex 3 StartRoot x minus 4 EndRoot + 3
g(x) = RootIndex 3 StartRoot x + 4 EndRoot + 3
Answer:
B: g(x) = RootIndex 3 StartRoot x minus 3 EndRoot + 4
Step-by-step explanation:
Got it right on Edge. Hope it helps!
Answer:
it is b on ed 2021
Step-by-step explanation:
? Question
Select the correct answer from each drop-down menu.
Simplify the expressions.
32 =
¡25 =
¡86 =
¡51 =
Answer:
i^32=1
i^25=i
i^86=-1
i^51=-i
Step-by-step explanation:
Follow the Rule of Four of I for this,
i^1=[tex]\sqrt{-1}[/tex]
I^2=-1
I^3=-i
I^4=1
Answer: first one is 1
Second one is i
Third one is -1
Fourth one is -1
Step-by-step explanation:
A circular trampoline has a radius of 8 feet. Wendy wants to buy a cover for the trampoline. What will be the area of the cover
Answer:
Option (3)
Step-by-step explanation:
Area of a circle is given by the formula,
Area = πr²
Here, r = radius of the circle
Since, radius of the circular trampoline = 8 feet
Area of the cover required for the circular trampoline = π(8)²
= 64π square feet
Therefore, Option (3) will be the answer.
what fraction of 2 hours is 30 minutes?
Answer:
1/4 of 2 hours
Step-by-step explanation:
30 min + 30 min = 1 hour. 1 hour is one half of two hours. Therefore, 30 minutes is 1/4 of 2 hours
If the sales tax rate is 6%, find price of the shirt after sales tax on a shirt that costs $30.
Answer:
It would be $31.80
Step-by-step explanation:
First thing you want to do is to take 6% of $30, which is $1.80.
Add that $1.80 to $30 to get the price after sales tax.
> KELAS 7B > PTS GENAP > Matematika
Yenny is a teller in a bank and her income is Rp 4,500,000.00 per month. If the income tax (pph) is 15%, then the
amount of money that Yenny receives in every month is.....
Select one:
a. Rp 4,250,000.00
b. Rp 4,000,000.00
c. Rp 3,825,000.00
d. Rp 3,900,000.00
Answer:
Answer is C
Step-by-step explanation:
Change
2.215(1 and 5 are recurring/repeating decimals)
in form of a/b
Answer:
Answer:
2.215=2 43/200
Step-by-step explanation:
Showing the work
Rewrite the decimal number as a fraction with 1 in the denominator
2.215=2.215/1
Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 1000
2.215/1×1000/1000=2215/1000
Find the Greatest Common Factor (GCF) of 2215 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 5,
2215÷5/1000÷5=443/200
Simplify the improper fraction,
=2 43/200
In conclusion,
2.215=2 43/200
Answer:
[tex]\frac{731}{330}[/tex]
Step-by-step explanation:
We require 2 equations with the repeating numbers placed after the decimal point.
let x = 2.2151515... ( multiply both sides by 10 and 1000 )
10x = 22.1515.... → (1)
1000x = 2215.1515.... → (2)
Subtract (1) from (2) thus eliminating the repeating decimal
990x = 2193 ( divide both sides by 990 )
x = [tex]\frac{2193}{990}[/tex] = [tex]\frac{731}{330}[/tex]
Thus
2.2151515..... = [tex]\frac{731}{330}[/tex]
Consider the following equation.
y = - 15
Which of the following lines is perpendicular to the one above?
OA
y = - - 20
ОВ.
y =
21 – 15
OC.
y = - + 19
OD
y = 1 + 14
Answer:
A
Step-by-step explanation:
To find the perpendicular line you need to find the negative reciprocal of 4/7x which is -7/4x, so A is the correct answer
I hope this helps!!
10 – 8(2x – 7) = 3(5x + 7) this one is hard
Answer:
10-16x+56=15x+21
66-16x=15x+21
66-21=15x+16 x
45=31x
x=45/31
The diameter of a cylinder is 26 yards. Find the volume of the cylinder, if it's height is 29 yards.
Answer:
15389.14
Step-by-step explanation:
You may need to round
4901 without pi
If two or more polygons are congruent, which statement must be true about the polygons? Read all of the choices before deciding.
A. Pairs of corresponding angles have the same measure.
B. Pairs of corresponding sides have the same length.
C. The polygons are parallelograms.
D. The polygons are regular.
E. Rigid transformations can be used to map one polygon onto the others
Answer:
Rigid transformations can be used to map one polygon onto the others
Step-by-step explanation:
You can only do the above if the polygons are identical, hence congruent
Answer:
B)
A, B, and E.
there are 4 triangles, 12 sqaures and 6 circles. What is the ratio of squares to circles? Simplify.
Answer:
12 to 6
12:6
Step-by-step explanation:
Is y=4x-2/12 linear or non linear (that’s a fraction not a division symbol)
Answer:
It is linear
Step-by-step explanation:
check graph img
How can you determine
a representative sample of a population?
Answer:
A representative sample is a subset of a population that seeks to accurately reflect the characteristics of the larger group. For example, a classroom of 30 students with 15 males and 15 females could generate a representative sample that might include six students: three males and three females
Answer:
How can you determine a representative sample of a population? A representative sample is a subset of a population that seeks to accurately reflect the characteristics of the larger group. For example, a classroom of 30 students with 15 males and 15 females could generate a representative sample that might include six students: three males and three females
Step-by-step explanation:
Students in a health class are tracking how much water they consume each day. Victoria has two reusable water bottles: a small one and a large one. Yesterday, she drank 3 small bottles and 4 large bottles, for a total of 3,312 grams. The day before, she drank 2 small bottles and 4 large bottles, for a total of 2,888 grams. How much does each bottle hold?
please help
Given :
Let, capacity of small bottle is x and large bottle is y.
To Find :
How much does each bottle hold ?
Solution :
For condition 1 :
3x + 4y = 3312 ...1)
For condition 2 :
2x + 4y = 2888 ...2)
Subtracting equation 2) from equation 1), we get :
x = 424
Putting value of x in equation 1) is :
[tex]y = \dfrac{2888 - (2\times 424)}{4}\\\\y = 510[/tex]
Therefore, capacity of small bottle is 424 gram and large bottle is 510 gram.
Kenjis dog has 3-12's of treats in the box of dog treats on monday. Hisdog ate 2-12's of treats on tuesday. What fraction more of the box of the treats did his dog eat on monday than tuesday
Answer: 1/12 of the box
Step-by-step explanation:
On Monday the dog ate 3/12 of the treats in the box and on Tuesday ate 2/12 of the treats in the box.
The answer to this question is the difference between both these fractions:
= 3/12 - 2/12
= 1/12 of the box
Two trains, Train A and Train B, weigh a total of 280 tons. Train A is heavier than Train B. The difference of their weights is 176 tons. What is the weight of each train?
Answer:
A= 228 tons
B=52 tons
Step-by-step explanation:
Given data
Train A and Train B, weigh a total of 280 tons
A+B=280----1
A-B=176----2
From 1
A= 280-B
put this in 2
280-B-B= 176
280-2B= 176
280-176= 2B
104= 2B
B= 104/2
B=52 tons
Put B=52 in 1
A+52=280
A= 280-52
A= 228 tons
How many times can 1/16 be found in 2 inches?
I need help please help me thanks
Answer:
1. The y-intercept 8 means you start off with $8. The slope 1/4 means how much money you have to pay for the amount of tickets purchased for carnival games.
2. The y-intercept 2 means the number of chapters you started reading and the slope 5/4 means the number of chapters you read per day.
3. The y-intercept 3 means the inital (start) cost of a muffin delivery and the slope 2 means the cost of each muffin delivery for the number of muffins you ordered.
Number 3 on the slope part might be the other way around if I'm wrong :)
A father a son are standing beside each other in the sun. The father is 2 meters tall and casts a shadow 4 meters long. The son is 1 meter long. How long is his shadow
Answer:
to find the sons shadow you would simply multiply the length of his body by 2, therefore his shadow would be 2 meters long
The height of shadow is 2 meter long.
We have,
The father is 2 meters tall and casts a shadow 4 meters long.
let the length of shadow be x.
Using proportion
2/4 = 1/ x
2x = 4
x =4 /2
x = 2 meter
Thus, the height is 2 meter tall.
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can someone please PLEASE help me with 2 i don't understand it at all ):
Answer:
(2,1)
Step-by-step explanation:
-7x+y=-13
y=3-x
-7x+3-x=-13
x=2
y=3-2
y=1