Answer:
x²+5x - 150 = 0
Step-by-step explanation:
Let the length be y and width be x
If the length of a swimming pool is 10 more than 2 times the width, then;
y = 2x+10 ...1
Since the Area is 300m²
A = xy
300 = xy .... 2
Substitute 1 into 2
300 = x(2x+10)
300 = 2x²+10x
Rearrange
2x²+10x - 300 = 0
Divide through by 2
x²+5x - 150 = 0
This gives the required quadratic expression
ABC measures 140° and is bisected
by BD. What is mDBC= ?
Answer:
angle abc =140°
and bd bisected by bd so, bd divede angle abc.
angle dbc= angle abc / 2
angle dbc=140°/2
angle dbc=70°
The measure of angle DBC from the given figure is 70°.
The measure of angle ABC is 140°.
What is an angle bisector?The angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts.
Angle bisector BD is bisecting angle ABC equally, which is
∠ABC=∠ABD+∠DBC
⇒ 140°=∠DBC+∠DBC
⇒ 2∠DBC=140°
⇒ ∠DBC=70°
Therefore, the measure of angle DBC from the given figure is 70°.
Learn more about the angle bisector here:
https://brainly.com/question/12896755.
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Solve -a + 7 = 2a - 8. a=5 D a= 15 a -3 = B a
The design for a small counter top
is shown. What is the perimeter and
area of the counter top?
Answer:
P = 22 ft
A = 18 ft²
See picture
Step-by-step explanation:
The perimeter is all the sides added together. You have to find the missing values. The missing vertical value is 2.5 (4-1.5). The missing horizontal value is 4 (7-3).
Add all the sides together for the perimeter.
Split the shape into 2 rectangles to find the area. Find the area of each rectangles, then add them together to find the total area.
PLEASE HELP ME!?!
(2 questions)
Bean seeds from supplier A have 85% germination rate and those from supplier B have 75% germination rate. A seed-packing company purchases 40% of its seed from A, 60% from B, and mix them together. Find the probability that a seed selected at random from the mixed will germinate.
Answer:
0.79 = 79% probability that a seed selected at random from the mixed will germinate.
Step-by-step explanation:
Probability of a seed germinating:
85% of 40%(from company A)
75% of 60%(from company B)
Then
[tex]P = 0.85*0.4 + 0.75*0.6 = 0.79[/tex]
0.79 = 79% probability that a seed selected at random from the mixed will germinate.
Which systems of equations have the same solutions?
L (3x+y = 8
1x - 4y = -6
m{$*=*=230
NS 4x – 3y = 2
12% -8y = -12
Answer:
B. L and N
Step-by-step explanation:
Let's solve each system
✔️System L:
3x + y = 8 => Eqn. 1
x - 4y = -6 => Eqn. 2
x = -6 + 4y
Substitute x = (-6 + 4y) in eqn. 1
3(-6 + 4y) + y = 8
-18 + 12y + y = 8
-18 + 13y = 8
13y = 8 + 18
13y = 26
y = 26/13
y = 2
Substitute y = 2 into Eqn. 2
x - 4y = -6
x - 4(2) = -6
x - 8 = -6
x = -6 + 8
x = 2
Solution to system L = (2, 2)
✔️System M:
4x - 3y = 2 => Eqn. 1
5x - 4y = -30 => Eqn. 2
Multiply eqn 1 by 5, and eqn. 2 by 4
20x - 15y = 10
20x - 16y = -120
Subtract
y = 130
Substitute y = 130 into eqn. 1
4x - 3(130) = 2
4x - 390 = 2
4x = 2 + 390
4x = 392
x = 392/4 = 98
Solution to system M = (98, 130)
✔️System N:
4x - 3y = 2 =>Eqn. 1
2x - 8y = -12 => Eqn. 2
Multiply Eqn. 1 by 2, and eqn. 2 by 4
8x - 6y = 4
8x - 32y = -48
Subtract
26y = 52
y = 52/26
y = 2
Substitute y = 2 into eqn. 1
4x - 3(2) = 2
4x - 6 = 2
4x = 2 + 6
4x = 8
x = 8/4
x = 2
Solution to system N = (2, 2)
A floor is 7 m long and 5 m wide. A square carpet of side 4 m is laid on the floor. Find
the area of the floor that is not carpeted?
Answer:
the area of the floor that is not carpeted 19 m squared
Step-by-step explanation:
7x5 =35 m squared = area of the floor
4x4 = 16 squared =(area of the carpeted floor)
35-16 = 19
factor the trinomial below. 6x^2-9x-6
A. 3(2x+6)(x-1)
B. 3(2x+1)(x-2)
C. 3(2x+2)(x-1)
D. 3(2x+2)(x-6)
all my points are yours for your answer
Answer:
B. 3(2x+1)(x-2)
Step-by-step explanation:
For this case we have the following trinomial:-
6x^2-9x-6
Rewriting we have:-
3(2x^2-3x-2)
Factoring we have:-
3(2x+1)(x-2)
So this is ur answer.. mark me as brainliest if answer is comfortable
Find x.
2x + 40
3x
4x
X + 50
x = [?]
y
Answer:
x=27
Step-by-step explanation:
Hey there!
the exterior angles of a quadrilateral add up to equal 360
so 360=2x+40+4x+3x+x+50
step 1 combine like terms
2x+4x+3x+x=10x
50+40=90
now we have
360=10x+90
step 2 subtract each side by 90
360-90=270
90-90 cancels out
now we have 270=10x
step 3 divide each side by 10
270/10=27
we're left with
x=27
I was wondering if anyone knew how to use a ti 84 to solve these. I just got one and it’s all very confusing to me.
Linda is playing a role-playing game with her friends. She will roll dice to determine if her character unlocks a treasure chest. The probability of her character unlocking the treasure chest is 13/20. Find the odds in favor of her character unlocking the treasure chest.
Answer:
65 percent chance right
Step-by-step explanation:
so she opens it 13 out of 20 times, so divide 13 by 20 and you get it
Amy’s watch loses time at the rate of 3 minutes every 5 days. Fine the number of days before the watch loses one hour or time
Please note that this is directly proportional applications and the formula is output unit/input unit times input unit
Answer:
100 daysStep-by-step explanation:
3 min loss ⇔ 5 days60 min loss ⇔ x daysCross multiply and solve for x:
3x = 5*603x = 300x = 300/3x = 100 daysa school has 2 computer labs each lab has 30 computer
Answer:
the answer is 60 because 2 times 30 is 60
Step-by-step explanation:
Solve: 64-3x-3 .64+22=38
4.0/5
136
The answer is x = -8/9.
Hope you have a good rest of your day. :)
Answer:
B. [tex]x=-\frac{8}{9}[/tex]
Step-by-step explanation:
edge 2021
:) Good luck, loves!
The number of minutes, m, of exercise, and the number of calories, c, burned during exercise. What is the independent variable?
Answer:
number of minutes
Step-by-step explanation:
Frank bought 3.86 lbs of cherry and lime jelly beans for his birthday party. If 1.56 lbs were cherry flavor, how many pounds were lime flavor?
Answer:
2.3 lbs.
Step-by-step explanation:
Total=3.86
Cherry=1.56
3.86-1.56= 2.3
Luna mixes 3/4 of orange juice with 3/8 cup of cranberry juice.she gives 5/8 cups of juice to mags. How much is left in Lunas glass?
Step-by-step explanation:
3/4+3/8
1.125-5/8
= 1/2 of juice
Jerry and Olivia were running a relay race. The race was 25.78 kilometers total. If Jerry ran 15.18 kilometers how far did Olivia run?
What is surface area of this? Click image
Answer:
[tex]\Large \boxed{\sf 384 \ m^2}[/tex]
Step-by-step explanation:
Surface area ⇒ area of 2 triangles + area of 3 rectangles
[tex](8 \times 3 \times 0.5 \times 2)+(20 \times 5 \times 2+20 \times 8)=384[/tex]
giving brainliest !! *easy*
Destiny bought a carton of orange juice. She drank 1/3 of the carton on Monday and 5/12 of the carton on Tuesday. What fraction of the carton did Destiny drink?
A. 6/12 Carton
B. 9/12 Carton
C. 6/15 Carton
D. 1 Carton
Answer:
B
9/12 carton
Step-by-step explanation:
Get both fractions to have the same denominator.
So make 3 into 12 by multiplying numerator and denominator by 4.
1×4/ 3×4 = 4/12
Now you can add the fractions.
5/12 + 4/12
= 9/12 Carton
Answer this ASAP the last question that due 5 minutes
Answer:
C
Step-by-step explanation:
If you graph the points, count boxes from the orgin (0,0).
You will have to go 3 to the right (on x), and up 6 (on y).
Solve for x. 5000(2)^x = 3500(3)^x
Answer:
0.887966
Step-by-step explanation:
1. Divide by 3500
(5000/3500)(2^x) = (3^x)
2. divide by 2^x and simplify
10/7 = (3/2)^x.
3. apply 'ln' function
ln(10/7) = xln(3/2)
4. divide ln(3/2)
ln(10/7) / ln(3/2) = x
x = 0.87966
Ms. Wolf goes shopping at Target and spends $38.75. Sales tax is 8%.
Enter the answer for question B: How much does she pay in total?
Answer:
you have to do the sales tax, times the price $3.10
then you add the $3.10 to the original price which is $41.85
Step-by-step explanation:
Need help with these math problems
Answer:
1. 34 sq.m.
2. 21 sq.m
3. A square pyramid has 1 square base and 4 triangular faces.
a. 36 square centimeters
b. 48 square centimeters
c. 84 square centimeters
4. a. 248 square centimeters
b. 1240 square centimeters
5. 140.8 square centimeters
8. Which of these would best measure the WEIGHT of a ship?
A. Ounces
B. Pounds
C. Tons
D. Kilograms
Answer: Tons
Step-by-step explanation: A ship is SUPER heavy.
1/4v=5 plsssssss helppp meeeee
Answer:
v=20
Step-by-step explanation:
multiply both sides by 4
1/4*4=1
5*4=20
PLEASE HELP ASAP
trigonometry
Answer:
5). x = 11.9°
6). x = 27.2°
Step-by-step explanation:
5). By applying cosine rule in the given triangle,
cos(32)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(32)° = [tex]\frac{x}{14}[/tex]
x = 14cos(32)°
x = 11.87
x ≈ 11.9°
6). By applying sine rule in the given triangle,
sin(54°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(54°) = [tex]\frac{22}{x}[/tex]
x = [tex]\frac{22}{\text{sin(54)}}[/tex]
x = 27.19°
x ≈ 27.2°
hi good day plss help me plssssssssss i need yoyre help now plss
Answer:
6.c 7.c 8. b 9. a 10. a
Step-by-step explanation:
6=c as 39.10-19.56
7. 89.2-78.6
8. 8.03-5.1
9. 40.98-15.6
10.55.6-47.5
Can you help A B C Or D image is here
Answer:
A
Step-by-step explanation: