Answer:
T(r) = (16 ties/racks)r
Step-by-step explanation:
Total number of ties = (16 ties/rack)(number of racks), or
T(r) = (16 ties/racks)r
Find two integers whose sum is 20 and product Is 100
Answer: 10
Step-by-step explanation:
10+10 = 20
10 x 10 = 100
mi would do another but i supposed to be in class :P
The two Integers are [tex]10,10.[/tex]
What is Integer ?An Integer number that can be written without a fractional component.
We have,
Sum of two Integers [tex]=20[/tex]
Product of two Integers [tex]=100[/tex]
Now,
Let,
One integer [tex]=x[/tex]
Another integer [tex]=y[/tex]
So,
According to the question,
[tex]x+y= 20[/tex] [tex].....(i)[/tex]
[tex]x*y=100[/tex]
⇒ [tex]x=\frac{100}{y}[/tex] [tex].....(ii)[/tex]
Now,
Putting value of x in equation (i),
We get,
[tex]\frac{100}{y}+y= 20[/tex]
[tex]100+y^2=20y[/tex]
[tex]y^2-20y+100=0[/tex]
Using middle term split method,
[tex]y^2-10y-10y+100=0[/tex]
[tex]y(y-10)-10(y-10)=0[/tex]
[tex](y-10) (y-10)=0[/tex]
We get,
[tex](y-10)=0[/tex] and [tex](y-10)=0[/tex]
So, [tex]y=10[/tex]
Now, putting value of y in in equation (i),
[tex]x+10=20[/tex]
[tex]x=10[/tex]
So, two integers are [tex]10,10.[/tex]
Hence, we can say that the two Integers are [tex]10,10.[/tex]
To know more about Integers click here
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a 400 g of a liquid of density 1.6g/cm3 is made from mixing liquids of density 1.2g/cm3 and 1.8g/cm3 find the mass of the liquid of density 1.2g/cm3
Answer:
133.33g
Step-by-step explanation:
Let the:
Mass of 1.2g/cm³ of liquid = x
Mass of 1.8g/cm³ of liquid = y
From our Question above, our system of equations is given as:
x + y = 400........ Equation 1
x = 400 - y
1.2 × x + 1.8 × y = 1.6 × 400
1.2x + 1.8y = 640..... Equation 2
We substitute, 400 - y for x in Equation 2
1.2(400 - y) + 1.8y = 640
480 - 1.2y + 1.8y = 640
- 1.2y + 1.8y = 640 - 480
0.6y = 160
y = 160/0.6y
y = 266.67 g
Solving for x
x = 400 - y
x = 400 - 266.67g
x = 133.33g
Therefore, the mass of the liquid of density 1.2g/cm³ is 133.33g
Estimate 121.45 ÷ 10.87
Answer:
11
Step-by-step explanation:
Find the distance between the parallel lines. y=2x+3 and y=2x-1
Answer:
The answer is 1.789
The longest straw that can fit inside a 5-inch cylindrical cup, if the straw is placed at an angle in the cup, is 6
inches
What is the approximate length of the cylinder's radius
Answer:
yo i do primavara to imma do 3.9
Step-by-step explanation:
oh and also if your grades are bad just do to the dashboard page and highlight you grade percentedge and click inspect if you know and if you see you number pecent on the inspect and right click and click edit as htl and change it to any percent you want then just click out of the inspec option and you will have A S AND B S
The approximate length of the cylinder's radius will be 3.3 inches. Then the correct option is A.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The longest straw that can fit inside a 5-inch cylindrical cup, if the straw is placed at an angle in the cup, is 6 inches.
Then the approximate length of the cylinder's radius will be given by the Pythagoras theorem.
Let x be the length of the radius. Then we have
x² = 6² - 5²
x² = 36 - 25
x² = 11
x = √11
x = 3.316
x ≅ 3.3
More about the geometry link is given below.
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DUE TOMORROW
3. A math teacher asked 60 randomly
selected seventh-grade students
whether they are left-handed or
right-handed. The table below
shows the results of this survey.
Left- or Right-Handed?
Hand Frequency
Left
18
Right
42
A school has a total of 280 seventh-
grade students. Based on the results
shown in the table above, how many
of those seventh-grade students
would you expect to be left-handed?
A 60
B 72
C 84
D 120
Answer:
c. 84 if wrong its 72 because im not sure if its esimated but if not its right.
Step-by-step explanation:
42x4.5=189
18x4.5=81
=270
84 of those seventh-grade students would you expect to be left-handed.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, have,
from 60 students ,
left handed = 18
now, from 280 students,
left handed = 280/60*18
=84
hence, 84 of those seventh-grade students would you expect to be left-handed.
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Can’t get the answer right ? Anyone know what it is ???!??????
Answer:
Step-by-step explanation:
to find ∠QPS we need the arc SQ and RS we will take 1/2(RS-QS) = QPS
find QS :
360 = RS + RQ + QS
360 = 150 + 110 + QS
100 = QS
now plug into formula above
∠QPS = 1/2(150-100)
∠QPS = 1/2(50)
∠QPS = 25°
What is the length of the base of a triangle with a height of 7 and and area of 7?
Answer:
base = 2
Step-by-step explanation:
area = 1/2 base * height
7 = 1/2b * 7
7 = 7b/2
cross multiply
14 = 7b
divide both sides by 7
b = 2
Answer:
2
Step-by-step explanation:
So the formula for area of a right triangle is A=B*L*1/2
Variables to remember:
H=height
B=base
A=area
We know that 7=7*B* 1/2. Since they say area is 7, height is 7.
So, we know that L has to equal 1 to make 7*B=7
However, we must remember that this is *1/2. So to make area=7, we must get 14. To get 14, we must have 7*2*1/2, which would equal 14*1/2, equaling 7.
So the answer for B is:
2
Hope this helps! ;)
On a very cold morning, it was -8°F. As the day went on, the temperature rose 2 degrees each hour. Which equation shows the temperature over time?
Answer:
Step-by-step explanation:
t = 2h-8
since you didn't put in the equations, just put in what ever variable is where t is at and any variable other than t for the h :)
Answer:
Please put equations, so I can able to give you ans
ASAP HELP PLS ASAP ASAP
Answer:
120cm2
Step-by-step explanation:
6 x 8 = 48cm2
8 x 9 = 72cm2
48 + 72 = 120cm2
Answer:
120 m^2
Step-by-step explanation:
The box on the left is 6m x 8m, thus the area would be 48 m^2.
The box on the right is 9m x 8m, thus the area would be 72 m^2.
Adding both areas would give you the total area of 120 m^2.
Cost of Water Bottles Number of Water Bottles Cost 3 5 $3.90 $6.50 $10.40 8 What is the price per water bottle? Enter the answer in the box.
Answer:
2.6
Step-by-step explanation:
it would be 2.6 because you minus 3.90 and 6.50
What value of y makes this equation true? 8(y - 9) = 24
Answer:
12
Step-by-step explanation:
We know that 8x3=24, so we have to find what would equal 3 in the parenthesis.
12-9=3
The correct equation would be 8 (12-9) =24, or to be very simple, 8x3=24.
So y=12.
... tbh idek anymore
1. An account is opened with a balance of $2800
earning 4.25% simple interest. What will be the
balance in the account in 30 years?
Answer:
The simple interest in the account will be $3570 and the total amount including principle and simple Interest will be $6370Step-by-step explanation:
firstly ,
Given That
principal(p)=$2800
Rate(R)=4.25%
Time(T)=30 years
now , we have from formula
simple interest (S.I)= P × T ×R / 100
= (2800×30×4.25) / 100
= $3570
Therefore , Simple Interest in 30 years will be $3570
now , we know
Amount(A) = Principal (P) + Interest (I)
= $2800 + $3570
= $ 6370
Therefore the simple interest in 30 years will be $3570 and the total amount in the bank will be $6370 .
What is the slope of the line y = 6x + 3?
3
-6
6
-3
Answer:
the answer is 6
Step-by-step explanation:
slope = m
y = mx + c
m = 6
Molly looked more sophisticated when she wore her business suit
Answer: A
Step-by-step explanation:
Sasha has a rectangular garden 8 m by 10 m. The garden has a path surrounding it which is 2 m wide. What is the total area of the garden and pathway? A. 168 m^2 B. 120 m^2 C. 116 m^2 D. 96 m^2 E. 84 m^2
Answer:
b
Step-by-step explanation:
Area of a rectangle = length x width
length = 8 + 2 = 10
width = 10 + 2 = 12
10 x 12 = 120
EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 35pts-
(if you put links or don't answer accordingly im reporting your account)
The correct answer is 88/9ft or 9.7ft
please help me otherwise I will fail , find the hypotenuse of traingle, which has base = 24 and perpendicular = 10
Answer:
26 is the hypotenuse
Step-by-step explanation:
a² + b² = c²
Given:
a = 24
b = 10
Work:
a² + b² = c²
24² + 10² = c²
576 + 100 = c²
c² = 676
[tex]\sqrt{c^2} =\sqrt{676}[/tex]
c = 26
Answer:
Solution given:
by using Pythagoras law
hypotenuse ²=perpendicular ²+base².
hypotenuse ²=10²+24²
hypotenuse=√676=26
so
hypotenuse=26
Pls help !! Will give brainliest
Answer:
the first one (25x + 30y is less than or equal to 100)
Step-by-step explanation:
money for clothing set x amount of sets plus pairs of shoes has to be less than or equal to 100 dollars.
What is the value/expression for the side length highlighted in green.
Answer:
15
Step-by-step explanation:
The parallel lines divide the transversals proportionally.
The green length = 24 - c , then
[tex]\frac{24-c}{20}[/tex] = [tex]\frac{c}{12}[/tex] ( cross- multiply )
12(24 - c) = 20c ← distribute left side
288 - 12c = 20c ( add 12c to both sides )
288 = 32c ( divide both sides by 32 )
9 = c
Then
green length = 24 - 9 = 15
What is the complement to Angle 1 if it measures 63 degrees
Answer:
27º
Step-by-step explanation:
complementary angle is equal to 90º
90 - 63 = 27
What is the value of x? what is the measure of
Answer:
x = 21, ∠ ABE = 55°
Step-by-step explanation:
∠ ABD is right and
∠ ABE + ∠ DBE = ∠ ABD , that is
3x - 8 + x + 14 = 90
4x + 6 = 90 ( subtract 6 from both sides )
4x = 84 ( divide both sides by 4 )
x = 21
Then
∠ ABE = 3x - 8 = 3(21) - 8 = 63 - 8 = 55°
3
1
4
B=
1
2
A=
5
3
A. AB =
11
29
4
11
B. AB=
2
12
3
10
a
C. AB =
6
15
1
8
D. AB =
17
27
4
14
Answer:
A
Step-by-step explanation:
Sum the product of the components in the first row of A with the corresponding components of the first column in B
Repeat this with the components in the second row of A with the corresponding components of the second column in B, that is
AB
= [tex]\left[\begin{array}{ccc}2&1\\3&4\\\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}3&1\\5&2\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}2(3)+1(5)&2(1)+1(2)\\3(3)+4(5)&3(1)+4(2)\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}6+5&2+2\\9+20&3+8\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}11&4\\29&11\\\end{array}\right][/tex] → A
EASY MATH PLEASE HELP!
EXPLANATION REQUIRED
NO LINKS PLEASE
I WILL GIVE BRAINLIEST!
Figure WXYZ is a square. Three of the vertices are at X(1, 3), Y(1, 2),
and Z( 4, 2). What is the location of W?
Answer:
W(4,3)
Step-by-step explanation:
how is that a square?
What is the value of y=7— 2x when x
=4?
Answer:
y=-1
Step-by-step explanation:
y=7-2x x=4
plug in x : y=7-2*4
y=7-8
y=-1
Answer:
-1
Step-by-step explanation:
-2 times 4 = -8
7-8=-1
i need help with this problem!!
Answer:
box 1 = 4
box 2 = 40%
table box 1 = 75%
table box 2 = 25%
Step-by-step explanation:
hope this helps :D
A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 9cm, and the base has a radius of 4cm. How much water is needed to fill 150 cups? Use 3.14 for π, and do not round your answer.
Answer:
22608cm³
Step-by-step explanation:
Step 1
We find how many liters of water can be contained in 1 cup. We do this by finding the volume of the cup.
Cup is shaped as a cone
The volume of a cone = πr²h/3
Where
r = radius = 4cm
h = height = 9cm
π = 3.14
Hence,
Volume of the cone (cup) =
3.14 × 4² × 9/3
= 150.72 cm³
Step 1
How much water is needed to fill 150 cups?
1 cup = 150.72 cm³ of water
150 cups = x
Cross Multiply
x = 150 × 150.72 cm³
x = 22608 cm³ of water
Therefore, 22608cm³ of water is needed to fill 150 cups
2. Which unit would you use (centimetres,
square centimetres, or cubic centimetres)
to measure each of the following?
a) the length of ribbon around a photo:
frame
b) the wrapping paper covering a gift
c) the distance around a pattern block
d) the amount of space in a shoe box
e) the amount of soil in an ant farm
Step-by-step explanation:
A. square centimeters
B. centimeters
C. square centimeters
D. centimeters
E. cubic centimeters