The number of boxes in Warehouse "A" currently totaling 476 is increasing at a rate of 4 boxes per day. The number of boxes in Warehouse "B" currently totaling 986 is decreasing at a rate of 6 boxes per day. In how many days will these two warehouses contain the same number of boxes
Answer:
These two warehouses will contain the same number of boxes in 51 days.
Step-by-step explanation:
Since the number of boxes in Warehouse "A" currently totaling 476 is increasing at a rate of 4 boxes per day, while the number of boxes in Warehouse "B" currently totaling 986 is decreasing at a rate of 6 boxes per day, To determine in how many days these two warehouses contain the same number of boxes, the following calculation must be performed:
Warehouse A = 476 + 4X
Warehouse B = 986 - 6X
476 + 4 x 50 = 476 + 200 = 676
986 - 6 x 50 = 986 - 300 = 686
476 + 4 x 51 = 476 + 204 = 680
986 - 6 x 51 = 986 - 306 = 680
Therefore, these two warehouses will contain the same number of boxes in 51 days.
If there are 10 marbles in a bag 1/5 of them are red and the others are blue. What is the ratio of red marbles to blue marbles ?
Answer:
4:1
Step-by-step explanation:
We know 1/5 of the marbles are red.
There are 10 marbles.
1/5 is also 2/10, so:
2 of the 10 marbles are red.
To find the blue marbles, lets subtract the red marbles from the total marbles:
10-2=8
So 8 of the marbles are blue.
This is a ratio of 8 blue to 2 red marbles.
Or
4 blue to 1 red marbles.
This can be shown as:
4 : 1
Hope this helps!
Show that x^2 + 5x = 3
Answer:
[tex]area = length \times width \\ 9 = (x + 3)(x + 2) \\ {x}^{2} + 2x + 3x + 6 = 9 \\ {x}^{2} + 5x + 6 = 9 \\ {x}^{2} + 5x + (6 - 9) = 0 \\ {x}^{2} + 5x =3[/tex]
Question
Patrick has 4 green hats, 3 blue hats, and 1 orange hat. If he selects a hat at random, what is the
probability of selecting a green hat?
.
0.4
O 0.5
O 0.8
Answer:
0.5
Step-by-step explanation:
First we need to find the total number of hats 4 green hats + 3 blue hats + 1 orange hat = 8 hats P( green hat) = green / total
= 4 / 8
= 1/2
NEED HELP ASAP !!!! SOMEONE HELP ME
Answer:
A
Step-by-step explanation:
cos(71)x19=6.1
6.1 =6
Answer:
ladder is 20 feet long.So answer is option c.
Step-by-step explanation:
let the length of a ladder be x
take 71 degree as reference angle
using sin rule
sin 71 =opposite/hypotenuse
0.94=19/x
x=19/0.94
x=20.21
x=20 feet
Find the equation with a line with slope 7
_
2 passing through the point (-2,9).
Answer:
y = 7/2 x+16
Step-by-step explanation:
The equation for a line is y = mx+b where m is the slope and b is the y intercept
y = 7/2 x+b
Substitute the point into the equation
9 = 7/2(-2)+b
9 = -7+b
9+7 = b
16 = b
y = 7/2 x+16
Allison measured her rectangular deck and found that it has dimensions of 5 1/2 yards by 8 yards. Both the length and the width may have a measurement error of up to 1/5%. What is the maximum possible area of Allison’s deck, rounded to the nearest thousandth of a square yard?
Answer:
yes
Step-by-step explanation:
its urgent please help ASAP ty!!
Answer:
the answer choices oh uhm I think i
answer plz plz plz plz plz
C. 270
Hope this helps! :)
Answer:
A.)90 degrees
Step-by-step explanation:
What is the missing side length in the triangle?
y=3x-1
Help pleaseeeeee
Answer:
y=3x-1
Step-by-step explanation:
Not enough context
Hope this helps!
:)
If 2 is subtracted from 3 times a number , the result is 25.Find the number?
Answer:
3x-2=25
x=9. .
Answer:
9
Step-by-step explanation:
The following expressions are factorizations of 60. Which is the prime factorization?
Answer:
d
Step-by-step explanation:
press 60 on your casio calculator then the equal sign then shift and then 3rd row this button ".,,," which means factorise
What’s 1/2 + 1/3? Y’all please help me . And when or if you can give me the answer can you do step-by-step on how you did that so I can do it myself next time?
[tex]\longrightarrow{\green{\frac{5}{6}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \frac{1}{2} + \frac{1}{3} [/tex]
Since the denominators are unequal, we find the L.C.M (lowest common multiple) for both denominators.
The L. C. M for 2 and 3 is 6.
Now, multiply the L.C.M. with both numerator & denominator.
[tex] = \frac{1 \times 3}{2 \times 3} + \frac{1 \times 2}{3 \times 2} [/tex]
[tex]= \frac{3}{6} + \frac{2}{6} [/tex]
Now that the denominators are equal, we can add them.
[tex]= \frac{3 + 2}{6} \\ \\ = \frac{5}{6} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
HELP! Drag each value to the correct location on the equation. Not all values will be used.
The number of archaeological sites discovered in a country over time, x, can be represented by the function S(x) = 2(1.1)x. The approximate number of artifacts found in each site over time, x, can be represented by the function A(x) = (1.1)5x + 2.
Create the function, T(x), that best describes the total number of artifacts found in archaeological sites in the country after x years.
Answer:
huh
Step-by-step explanation:
?
The exponential function that best describes the total number of artifacts found in archaeological sites in the country after x years = T(x) = [tex]2(1.1)^{6x+2}[/tex]
What is exponential function?An exponential function is defined by the formula f(x) = a×, where the input variable x occurs as an exponent.
Time period = x years
The number of archaeological sites discovered in a country in x years = S(x) = [tex]2(1.1)^{x}[/tex]
The approximate number of artifacts found in each site over time = A(x) = [tex](1.1)^{5x+2}[/tex]
The total number of artifacts found in archaeological sites in the country after x years = T(x) = S(x).A(x) = [tex]2(1.1)^{x}(1.1)^{5x+2} = 2(1.1)^{6x+2}[/tex]
Learn more about exponential function here
https://brainly.com/question/11487261
#SPJ2
Identify the missing parts in the proof.
Given: ∠ABC is a right angle.
DB bisects ∠ABC.
Prove: m∠CBD = 45°
A:
B:
C:
D:
Answer:
The missing parts of the proof includes;
1) ∠ABC = m∠CBD + m∠ABD = 90° (Angle addition postulate)
2) m∠CBD = m∠ABD (Definition of angle bisector)
3) m∠CBD + m∠ABD = m∠CBD + m∠CBD (Substitution property of equality)
Step-by-step explanation:
The given details of the proof are;
∠ABC is a right angle = 90°
Line DB is a bisector of ∠ABC
Therefore;
1) ∠ABC = m∠CBD + m∠ABD = 90° by angle addition postulate
By the definition of angle bisector, we have;
The angles formed by line DB from ∠ABC are equal,
2) m∠CBD = m∠ABD by the definition of angle bisector
3) m∠CBD + m∠ABD = 90° = m∠CBD + m∠CBD = 2 × m∠CBD by substitution property of equality
2 × m∠CBD = 90°
∴ m∠CBD = 90°/2 = 45°
Answer:
A: Given
B: measure the angle ABC = 90
C: angle addition postulate
D: 2 times the measure of angle CBD = 90
Step-by-step explanation:
Hope this helps <3
A regular polygon of (2A+ 1) sides has 140°
as the size of each
interior angle. Find A
Answer:
Ext angles = 40 degs 360/40 = 9 sides
Step-by-step explanation:
I need help or my math teacher will call my parents up about it and I will die
Answer:
113mm^2
Step-by-step explanation:
Firstly work out the area of the pink circle using πr^2, which is the area of a process.
So we do πx12^2, which gives us 144π mm we have to divide this by two to get half of a circle hence giving us the area of the semi-circle. 72π mm is the area of the semicircle.
Then we must find the area of the white circle to subtract it from our semicircle. Since we know the radius is 12 from the center to anywhere, we know that the white circles diameter is 12, using our formula for the area all we need to do is πx6^2. This gives us 36π.
72π - 36π = 36π
36π is equal to 113.0973355 and since we need it too 3sf it will be 113mm^2
Help me to do this question
Answer:
Step-by-step explanation:
1) Vertically opposite angles are equal.
x + 30 = 180 - 2x
Add '2x' to both sides
x + 30 +2x = 180
3x + 30 = 180
Subtract 30 from both sides
3x = 180 - 30
3x = 150
x = 150/3
x = 50
2) Let the angle be x
It's complement angle = 90 - x
[tex]x = \frac{2}{3}(90-x)\\\\x = \frac{2}{3}*90 - \frac{2}{3}*x\\\\x =2*30 - \frac{2}{3}x\\\\x +\frac{2}{3}x = 60\\\\\frac{3}{3}x+\frac{2}{3}x=60\\\\\frac{5}{3}x =60\\\\x = 60*\frac{3}{5}\\\\x = 12*3\\x = 36[/tex]
The angles are : 36 , 54
3) Let the angle be x
It's supplement = 180 - x
[tex]x = \frac{1}{5}(180-x)\\\\x =\frac{1}{5}*180 - \frac{1}{5}x\\\\x + \frac{1}{5}x= 36\\\\\frac{5}{5}x +\frac{1}{5}x = 36\\\\\frac{6}{5}x = 36\\\\x = 36*\frac{5}{6}\\\\x = 6*5 = 30\\[/tex]
Angles are 30 , 150
4) Ratio = 7 : 3
The angles are = 7x , 3x
7x + 3x = 180
10x = 180
x = 180/10
x = 18
7x = 7 * 18 = 126
3x = 3 * 18 = 54
Angles are 126 , 54
1. Intersecting lines are lines that cross each other. When two lines intersect, the opposite angles are equal.
Given: x + 30° and 180° - 2x are vertically opposite angles
⇒ x + 30° = 180° - 2x
⇒ 3x = 150°
⇒ x = 50°
2. Let the complement be : C
Given : The other angle is two third of its complement
[tex]\sf{\implies Other \ angle = \dfrac{2}{3} \times C}[/tex]
Two angles are said to be Complementary if their sum is equal to 90°
[tex]\sf{\implies C + \dfrac{2C}{3} = 90}[/tex]
[tex]\sf{\implies \dfrac{5C}{3} = 90}[/tex]
[tex]\sf{\implies 5C = 270}[/tex]
[tex]\sf{\implies C = 54}[/tex]
[tex]\sf{\implies Other \ angle = \bigg(\dfrac{2}{3} \times C\bigg) = \bigg(\dfrac{2}{3} \times 54\bigg) = 36 }[/tex]
Answer: The size of the angle which is two third of its complement is 36°
3. Let the supplement be : S
Given : The other angle is one fifth of its supplement
[tex]\sf{\implies Other \ angle = \dfrac{1}{5} \times S}[/tex]
Two angles are said to be Supplementary if their sum is equal to 180°
[tex]\sf{\implies S + \dfrac{S}{5} = 180}[/tex]
[tex]\sf{\implies \dfrac{6S}{5} = 180}[/tex]
[tex]\sf{\implies 6S = 900}[/tex]
[tex]\sf{\implies S = 150}[/tex]
[tex]\sf{\implies Other \ angle = \bigg(\dfrac{1}{5} \times S\bigg) = \bigg(\dfrac{1}{5} \times 150\bigg) = 30 }[/tex]
Answer: The size of the angle which is one fifth of its supplement is 30°
4. Two supplementary angles are in the ratio 7 : 3
Let the supplementary angles be : 7S and 3S
Two angles are said to be Supplementary if their sum is equal to 180°
⇒ 7S + 3S = 180°
⇒ 10S = 180°
⇒ S = 18°
First Angle : 7S = (7 × 18) = 126°
Second Angle : 3S = (3 × 18) = 54°
Someone please help me ASAP!
Answer:
x + 1 y+1
Step-by-step explanation:
it translated 1 unit up the x axis and 1 unit y axis
Answer:
reflected across the y-axis and translated 1 to the right and 1 up
Step-by-step explanation:
Can someone please help me? need this done ASAP!!!!
Answer:
They are not similar
Step-by-step explanation:
Angles dont match
I will give BRAINLIEST to the correct answer
Find the measure of angle 5
Answer:
84
Step-by-step explanation:
1 is = 84 since its a vertical angle.
5= 84 since its the corresponding angle in this tranversal.
Hoped this helped,
JoeLouis2
When 9 is added to five times a number, we get 19. The number is
Answer:
the number is 2
Step-by-step explanation:
5x2=10+9=19
Analyzing angle pair relationships
Angle 3 and 4 are ____.
The equation _____ can be used to solve for x.
m 5 = __
Answer:
Angle 3 and 4 are supplementary angles.
The equation (3x+4) + (2x+11) = 180 can be used to solve for x.
m 5 = 77
Step-by-step explanation:
Which one of the following represents exponential growth?
A: y = (48000)(.05)^x
B: y = (48000)(.95)^x
C: y = 2400(.05)^x
D: y = (48000)(1.05)^x
How do I generate equivalent expressions by combining like terms, simplifying, or factoring this? ( 4b + 8) =
Answer:
4(b + 2)
Step-by-step explanation:
Given data
The expression is
( 4b + 8)
Looking at the expression, 4 is common
factor 4 out
4(b + 2)
Hence the equivalent expression is
4(b + 2)
ILL GIVE BRAINLIEST!!
Pam is looking for a new car. She has test-driven two cars but can only purchase one. The probability that she will purchase car A is 0.46, and the probability that she will purchase car B is 0.34. What is the probability that she will not purchase either car A or car B? (1 point)
The total of the two cars is 0.46 + 0.34 = 0.8
The total of all probabilities needs to equal 1
The probability of not buying either car is 1 - the sum of the two probabilities
1-0.8 = 0.20
The probability of not buying either car is 0.20
Help!’!!!!!!!!! And thanksss
help help me please!!!
Answer:
it is 32
Step-by-step explanation:
the answer is 32 it is the answer
Answer:
32
Step-by-step explanation:
20% of 40 is 8
so 40-8=32
work out 2/7 divided 7/8
Answer:
16/49
Step-by-step explanation:
2/ 7÷ 7/8
Copy dot flip
2/7 * 8/7
Multiply the numerators
2*8 =16
Multiply the denominators
7*7 = 49
numerator over denominator
16/49
Answer:
[tex]\frac{16}{49}[/tex]
Step-by-step explanation: