=======================================================
Explanation:
Pool X has 1200 gallons of water in it. It is being drained at a rate of 15 gallons per minute. If lowercase x is the number of minutes, then it has 1200-15x gallons left in the pool.
Consider after 1 minute we have x = 1, so,
1200-15x = 1200-15*1 = 1200-15 = 11185
Then after 2 minutes we have x = 2, which means,
1200-15x = 1200-15*2 = 1200-30 = 11170
is the amount left over in gallons.
----------------
In contrast, Pool Y is empty and we add 25 gallons per minute. So we start with 0 and add on 25x getting 0+25x = 25x as the expression representing the amount of gallons of water in Pool Y
-----------------
So we found these two expressions
1200-15x25xto represent the amount of water (in gallons) for Pool X and Pool Y respectively.
We want to know when Pool Y will have more water. So we get to this final answer
1200 - 15x < 25x
It is in the form A < B, where A is the amount of water in Pool X and B is the amount of water in Pool Y.
Answer:
CStep-by-step explanation:
cause i got it right
Which congruence theorem can be used to prove angle BDA triangle DBC?
С
B
D
A
OHL
O SAS
O AAS
O SSS
The answer is actually A. HL
The congruence theorem can be used to prove Δ BDA ≅ Δ DBC is HL.
Option A is the correct answer.
What is triangle congruency?There are ways to prove that two triangles are congruent.
- Side-Side-Side (SSS) Congruence.
The three sides of one triangle are equal to the corresponding three sides of another triangle.
- Side-Angle-Side (SAS) Congruence.
The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.
- Angle-Side-Angle (ASA) Congruence.
The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.
- Angle-Angle-Side (AAS) Congruence.
We have,
We see that,
ΔBDA and ΔDBC are both right triangles.
Now,
DC = AB (hypotenuse) (given)
DB = DB ( Common sides )
CB = DA ( Remaining side of the right triangle )
ΔBDA ≅ ΔDBC
Proved by HL.
Thus,
The congruence theorem can be used to prove Δ BDA ≅ Δ DBC is HL.
Learn more about triangle congruency here:
https://brainly.com/question/12413243
#SPJ7
Please answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answer:
x = 97
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Define
We are given a right triangle. We can use PT to solve for the missing side length.
Step 2: Identify Variables
Leg a = 72
Leg b = 65
Hypotenuse c = x
Step 3: Solve for x
Substitute [PT]: 72² + 65² = x²Exponents: 5184 + 4225 = x²Add: 9409 = x²Isolate x: 97 = xRewrite: x = 97pls help me convarct 20base 10 to base two
ppppppleeeeessssseeeee
20₁₀ = 16₁₀ + 4₁₀
and in base 10, 2⁴ = 16 and 2² = 4. So
20₁₀ = 10100₂
In other words,
10100₂ = 1 • 2⁴ + 0 • 2³ + 1 • 2² + 0 • 2¹ + 0 • 2⁰
5. The price of a new gym bag is $37.00 plus 8% sales tax. What is the sales tax on this gym
bag in dollars and cents?
Answer:
$25.00 which is $24.50
Step-by-step explanation:
Changes made to your input should not affect the solution:
(1): Dot was discarded near "x.s".
(2): "37." was replaced by "(37/1)".
Unauthorized use of the imaginary unit "i" or syntax error in complex arithmetic expression
the daily wages of 80 workers of a factory:-
DAILY WAGES ($): 500-600,600-700,700-800,800-900,900-1000
12,,,,,,,,,,,,17,,,,,,,,,,,,,,28,,,,,,,,,,,,,14,,,,,,,,,,,,,,9
NO.OF WORKERS
find the mean of daily wages of the workers of the factory by using an appropriate method [step diviation method]
Answer:
1)mean =738.75
solution------->
Given
1) as per given informtaion for question no 1
daily wages. number of worker
500-600 12
600 -700 17
700-800 28
800-900 14
900 -1000 9
[tex]mean=\frac{fx}{x} \\or \frac{59100}{80} \\or 738.75[/tex]
Hope this helps ;D
Step-by-step explanation:
is this the table u r trying to do??
You are shopping for bicycles. You have saved $97 and you can save an extra $20 per week. How
many more weeks do you need to spend saving money if the type of bicycle you want costs at
least $185?
(b) Define your variables
(b) Write and inequality and solve
Answer:
multiple choice?
Step-by-step explanation:
Select all the true statements about this graph.
A. The graph is nonlinear
B. The function increases at the same rate.
C. The rate decreases after x=2.
D. The graph is a function
E. The graph is increasing in two intervals.
A drawing of a rectangular room has dimensions of 12 inches by 6 inches. If the scale is 2 inches : 4 feet, find the area of the actual room.
Answer: 288 feet
Step-by-step explanation:
Length of drawing = 12 inches
Actual length = 12 × (4/2)feet = 24 feet
Width if the drawing = 6 inches
Actual width = 6 × (4/2)feet = 12 feet
The area of the actual room will be gotten by multiplying the dimensions. This will be:
= 24 feet × 12 feet
= 288 feet
La Distribuidora Industrial Dulzura va a seleccionar entre dos compañías para transportar su azúcar al mercado. La primera compañía cobra 49,430.00 por alquilar los camiones más 2,480.50 adicionales por cada tonelada de azúcar. La segunda compañía cobra 60,500.00 por alquilar los camiones más 1,927.20 adicionales por cada tonelada de azúcar.
Answer: La cuenta de Milla ganaría $63 más que la cuenta de Gion después de 1 año.
Find the value of x in the isosceles triangle shown below.
Choose 1 answer
A. x = 3
B. x = square root of 26
C. x = 6
D. x = square root of 52
Answer:
x=6
Step-by-step explanation:
Line z has a slope of 2.5 and goes through points (4,13) . Which equation best represents line z?
A y=2.5x-23
B y=2.5x+23
C y=2.5x+3
D y=2.5x- 28.5
Answer:
C. y=2.5x+3
Step-by-step explanation:
What is the domain of the square root function graphed below?
x is greater than or equal to -4.
x>-4
x is greater than or equal to 0
x>0
Answer:
Its C, x≥0
Step-by-step explanation:
Edge 2020
Answer:person above is correct
Step-by-step explanation:
c
plzzz help me with this
Answer:
Please find attached the required flow chart proof created using Microsoft Visio
Step-by-step explanation:
The given parameters are;
[tex]\overline {BD}[/tex] bisects ∠ADC and ∠ABC
Required to proof that ΔABD ≅ ΔCBD
The two column proof is given as follows;
Statement [tex]{}[/tex] Reason
[tex]\overline {BD}[/tex] bisects ∠ADC [tex]{}[/tex] Given
∠ADB ≅ ∠CDB [tex]{}[/tex] Definition of angle bisector
[tex]\overline {BD}[/tex] bisects ∠ABC [tex]{}[/tex] Given
∠ABD ≅ ∠CBD [tex]{}[/tex] Definition of angle bisector
[tex]\overline {BD}[/tex] ≅ [tex]\overline {BD}[/tex] [tex]{}[/tex] Reflexive Property
ΔABD ≅ ΔCDB [tex]{}[/tex] ASA
The Angle-Side-Angle ASA, ASA, congruency postulate, states that if two angles and the included side of one triangle is congruent to two angles and the included side of another triangle, then the two angles are congruent.
Find
the
reciprocal
0f
0.65 to three
Significant
figurs
Answer:
100/ 56
Step-by-step explanation:
100/65 because 0.65 is a decimal number
hope it helps!
Answer:
100/65 because 0.65 is in decimal
A train traveling at a speed of 20mph departs from Manhattan and heads towards New Jersey. At the same time, a train heading to Manhattan from New Jersey is departing at the same time, and will be going 40mph. If the two places are 120 miles apart, how far from New Jersey will the trains meet?
E. 40 miles F. 60 miles G. 80 miles H. 100 miles
PLS ANSWER WITH THE WORK..... THE ANSWER IN THE ANSWER SHEET IS G 80 MILES BUT I NEED THE WORK ON HOW TO GET TO TE ANSWER.
They will be at exactly 80 miles because the train going from Manhattan to jersey and the train going from Jersey to Manhattan meet at 80 because 60 is the halfway stop and the train going from Jersey is 20 mph more. Therefore, 80 mph is the answer
Hope this helps!
Which of the following models the sequence -5, -7, -9, -11, ...?
Answer:
-13, -15, -17, -19, -21
Step-by-step explanation:
keep going but just add two :)
15PTS PLEASE HELP ASAP!!
(dont write random answers pls!)
Answer:
to find the answer, you need to find the measure of the angle on the other side of the 142. and since it's a straight line, those two angles measures are =to 180 (they're supplementary angles). so the measure of that angle is 38 degrees. to find the measure of the remaining angle, you subtract the angle measures you already know from 180 (because the sum of interior angles in a triangle is 180.) to, the answer is:
180-90-38= 52 degrees or A
In a lab experiment 2800 bacteria are placed into a petri dish the conditions are such thing as our bacteria able to double every five hours how many bacteria will be there after 19 hours to the nearest whole number
Answer:
39001
Step-by-step explanation:
Triangle ABC is a right triangle. The length of the legs are 3 in and 6 in, how long is the hypotenuse? (Round to the nearest tenth if necessary)
A) 3.3 in
B) 6.7 in
C) 7.9 in
D) 9.0 in
Triangle ABC is a right triangle. The length of the legs are 3 in and 6 in, how long is the hypotenuse? (Round to the nearest tenth if necessary)
When the two legs are given, the hypotenuse is found by using the Pythagorean Theorem, which states that:
[tex]\displaystyle a^{2} +b^{2} =c^{2}[/tex]
In the theorem, a and b are the two legs, and c is the hypotenuse. Since you are given the length of the two legs, substitute it into the equation.
[tex]a=3\\b=6[/tex]
[tex]3^{2} +6^{2}=c^{2}[/tex]
Now, you need to square both 3 and 6. When you square a number, you're basically multiplying the number by itself.
[tex]3^{2} =3 \times 3=9\\6^{2}=6 \times 6=36[/tex]
Substitute the numbers into the equation.
[tex]9+36=c^{2}[/tex]
Add:
[tex]45=c^{2}[/tex]
You're looking for the value of c, not c squared. To remove the square, you need to square root it.
[tex]\displaystyle \sqrt{45}=\sqrt{c^{2} }[/tex]
Using a calculator, find the square root of 45.
[tex]\displaystyle \sqrt{45}=\sqrt{c^{2} }\\c \approx 6.7[/tex]
The answer to your question is B) 6.7 inches.
Answer: A
Step-by-step explanation:
Use Pythagorean Theorem in order to solve this:
[tex]a^{2} + b^{2} = c^{2}[/tex]
(c is the hypotenuse)
So that would be:
[tex]3^{2} + 6^{2} = c^{2}[/tex]
If you solve this, you would find that:
[tex]c^{2} = 45[/tex]
[tex]c = 3\sqrt{5}[/tex]
Answer = B
ARE THESE CORRECT YES OR NO TYPE ONLY IF YOU KNOW THANKS I REALLY NEED THIS!
Answer:
yes I think im not an expert but i think
Step-by-step explanation:
Answer:
Yes, all of them are correct.
Through which pairs of points is the slope negative? Select all that apply.
A (3,6) and (10,6)
B (-2, -5) and (0,0)
C (1,9) and (20,3)
D (-3, -1) and (3, -3)
E (16, 11) and (14,9)
Answer:
The answer is C and D
If ‘c’ is directly proportional to‘d’ and c = 24 when d = 4
Find an equation connecting ‘c’ and ‘d’
Find ‘c’ when d = 8
Find ‘d’ when c = 54
Answer:
When d = 8
c = 48
when c = 54
d = 9
Step-by-step explanation:
We have the equation c is proportional to d
[tex]c \: \: \: \alpha \: \: d[/tex]
ie
[tex]\frac{c}{d} = \: a \: constant[/tex]
here given that c = 24 and d = 4 so,
[tex] \frac{c}{d} = \frac{24}{4} = 6[/tex]
so we have to find values for c and d which gives
c/d = 6
so when d = 8
[tex] \frac{c}{8} = 6 \\ so \: \\ c = 8 \times 6 = 48 \\ \\ and \: when \: \\ c \: = 54 \\ \\ \frac{54}{d } = 6 \\ \\ d \: = \frac{54}{6} = 9[/tex]
Answer:
c = 6dc = 48 when d=8d = 9 when c=54Step-by-step explanation:
We know:
‘c’ is directly proportional to‘d’
and
c = 24 when d = 4
W can write this in mathematical form as:
c∝d
Removing the proportionality symbol, k is the constant of proportionality
c = kd
To find the value of k, putting the known values of c and d
[tex]24 = k * 4\\k = \frac{24}{4} = 6[/tex]
So the equation becomes
[tex]c = 6d[/tex]
To find the value of c when d = 8
[tex]c = 6*8\\c = 48[/tex]
To find the value of d when c=54
[tex]54 = 6d\\d = \frac{54}{6}\\d = 9[/tex]
Hence,
c = 6dc = 48 when d=8d = 9 when c=54PLEASE HURRY!!!!!!!!!!
I WILL VOTE BRAINLIEST!!!!!!!!!
ACTUALLY ANSWER IT AND PROVIDE ALL WORK!!!!!!!!!!!!!
Answer:
The answer gonna be B
u welcome
Answer:
A
Step-by-step explanation:
We can see that our figure is composed of a cylinder and a cone.
So, we can utilize the surface area formulas.
The surface area of a cylinder is given by:
[tex]SA=2\pi r^2+2\pi r h[/tex]
The first term is the two circular bases, and the second term is the lateral surface area.
Notice that the circular base has a diameter of 6. So, its radius is 3.
Also, the height of the cylinder is 50.
However, notice that one of the circular bases is not included in our surface area as it’s connected to the cone. So, we will remove that from our surface area. This gives us:
[tex]SA=\pi r^2+2\pi rh[/tex]
Therefore, by substituting 3 for r, the radius, and 50 for the height h we can see that:
[tex]\begin{aligned}SA&=\pi(3)^2+2\pi(3)(50)\\&=9\pi+300\pi\\&=309\pi\end{aligned}[/tex]
Now, we can determine the SA of the cone.
Again, we will only need to lateral surface area, since the circular base is connected to the cylinder.
The lateral surface area of a cone is given by the formula:
[tex]SA=\pi r\ell[/tex]
Where r is the radius and l is the slant height.
The radius is 3 and the slant height is 5. Therefore:
[tex]SA=\pi(3)(5)=15\pi[/tex]
So, our total surface area is:
[tex]SA_{\text{Total}}=309\pi+15\pi[/tex]
Simplify:
[tex]SA_{\text{Total}}=324\pi\\[/tex]
Approximate:
[tex]SA_{\text{Total}}\approx1017.9\text{ units}^2[/tex]
Hence, our answer is A.
What is the compliment of a 45 degree angle
The complement of 45° is the angle that when added to 45° forms a right angle (90° ).
please help I got 20mins
Answer/Step-by-step explanation:
Scale factor: 1/4
AC = DF and 10 ÷ 2.5 = 4
10 x 1/4 = 2.5
DE length: 5
AB = DE
20 x 1/4 = 5
BC length: 30
EF = BC
(Because EF is the dilation) 7.5 x 4 = 30
Which of the expressions below has a 1 in the thousandths place of the sum? Select all that apply. A) 32.474 + 16.577 B) 23.452 + 31.561 C) 19.213 + 4.578 D) 8.128 + 9.192
Answer:
A) 32.474 + 16.577
= 49.051
C) 19.213 + 4.578
= 23.791
Step-by-step explanation:
Place value may be defined as the positional system of a notation where the position of any number with reference to the decimal point determines the value of that number.
A) 32.474 + 16.577
= 49.051
B) 23.452 + 31.561
= 55.013
C) 19.213 + 4.578
= 23.791
D) 8.128 + 9.192
= 17.32
We have to find the expression which contains 1 in the thousandths place in the sum.
We know after the decimal point, the place value are designated as tenths, hundredths, thousandths, and so on.
Therefore, A). 49.051 and C). 23.791 has a place value of 1 in its thousandths place.
Please help me solve this.
Answer:
9
Step-by-step explanation:
13*3=39
48-39=9
Answer:
48-39=9
^
(13 x 3=39)
A student concluded that 0.5(6x+4) = 3x+4 has no solution. Which statement BEST describes the student's conclusion? A.) The conclusion is correct because the coefficient before the variable is equivalent. B.) The conclusion is incorrect because there is exactly one solution to the equation. C.)The conclusion is correct because, when simplified, both sides of the equation are equivalent. D.)The conclusion is incorrect because there are two solutions to the equation.
Answer:
The conclusion is correct because the coefficient before the variable is equivalent.
Step-by-step explanation:
The given equation is :
0.5(6x+4) = 3x+4
First, we will solve the equation.
3x+2=3x+4
A student concluded that the above equation has no solution. The conclusion is correct because the coefficient before the variable is equivalent. Hence, the correct option is (a).
What is 10-18+16y-190b?
Answer:
−190b+16y−8
Step-by-step explanation:
Ty can jump rope at a rate of 6 jumps every 3 seconds what is Ty's jump roping rate in jumps per minute
Answer: Ty can jump rope at 6:3 thats the ratio.
Step-by-step explanation:
You can burn an average of 200 to 300 calories in a mere 15 minutes workout with your jump rope. Everyone is different, but on average 10 – 25 Calories are Burned Jumping Rope every minute. Jumping rope can help you burn about 25% more calories per minute than running.