Answer:
12.9 - 22.7b
Step-by-step explanation
Given the expression 4.3(3-5b) = 1.2b
Open the bracket
4.3(3-5b) = 1.2b
4.3(3)-(4.3)(5b) = 1.2b
12.9 - 21.5b = 1.2b
12.9 - 21.5b - 1.2b
12.9 - (21.5+1.2)b
12.9 - 22.7b
Hence the required expression is 12.9 - 22.7b
What is the value of y in the solution to the following system of equations?
2x + y = -4
5x + 3y = -6
y= -32
Step-by-step explanation:
step 1: from the first equation you will make X the subject of formula, the equation then becomes;
X= 4-y
2
step 2: substitute X in the second equation, the equation then becomes 5 * [4-y] + 3y = -6
[ 2]
step 3: find the LCM and then cross multiply; 20-5y+6y = -6
2
20+y = -12
y= -12-20
y= -32
please find the area of this irregular shape
Answer: 10 sq units
Step-by-step explanation:
Area of triangle: 1/2 x b x h
1/2 x 2 x 2 = 2
Area of the left triangle is 2 sq units
1/2 x 4 x 2 = 4
Area of the right triangle is 4 sq units
Area of square: l x w
2 x 2 = 4
Area of square is 4 sq units
Area of figure: A of square + A of r tri. + A of left tri.
4 + 4 + 2 = 10
The area of the figure is 10 sq units.
Use the figure at the right to answer questions 9-12.
Answer:
9.) 5x - 18 = 4x + 7 10.) x = 25 11.) m∠MNQ = 107° 12.) m∠MNR = 73°
Step-by-step explanation:
9. & 10.)
∠MNQ and ∠RNP are vertical angles meaning they are equivalent to each other. Knowing that, we can set their values equal to each other and solve for x.
5x - 18 = 4x + 7 (Given)
x - 18 = 7 (Subtract 4x on both sides)
x = 25 (Add 18 on both sides)
Therefore, we know the equation is 5x - 18 = 4x + 7 and we know that x = 25.
Now we can solve for the angles.
11.)
5(25) - 18
125 - 18 = 107
Therefore, m∠MNQ = 107°.
12.)
∠MNR and ∠MNQ are supplementary angles meaning their angles will add up to 180°
∠MNR + 107 = 180
∠MNR = 73
Therefore, m∠MNR = 73°.
Please Help! #17, 18, 19
Answer: 17: No, the triangles are not similar.
I'm sorry, that is the best I can do, I forgot all about triangles ;-;
Step-by-step explanation:
5x^2-12=88 solve algebraically
Answer:
x = 2sqrt(5) or x = -2sqrt(5)
Step-by-step explanation:
5x^2 - 12 = 88
5x^2 = 100
x^2 = 20
x = +/- sqrt(20)
x = 2sqrt(5) or x = -2sqrt(5)
Answer:
[tex]x_1=-2\sqrt{5},\ x_2=2\sqrt{5}[/tex]
Step-by-step explanation:
Given equation: [tex]5x^2-12=88[/tex]
Step 1: Add 12 to both sides.
[tex]\\\implies 5x^2-12+12=88+12\\\\\implies 5x^2=100[/tex]
Step 2: Divide both sides by 5
[tex]\\\implies\dfrac{5x^2}{5}=\dfrac{100}{5}\\\\\implies x^2=20[/tex]
Step 3: Take the square root of both sides (positive and negative roots).
[tex]\\\implies \sqrt{x^2}=\sqrt{20}\\\\\implies x=\pm\ \sqrt{20}[/tex]
Step 4: Simplify.
[tex]\\\implies x=\pm\ \sqrt{4\times5}\\\\\implies x=\pm\ 2\sqrt{5}[/tex]
Step 5: Separate into two cases.
[tex]\implies x_1=-2\sqrt{5},\ x_2=2\sqrt{5}[/tex]
Another example:
https://brainly.com/question/20778317
Plz help it due In 20 mins
Answer:
Slope of line A= -1/3
B=-1
C= -5/4
Step-by-step explanation:
Use: slope m= y-y1/ x-x1
Can somebody do this I’ll mark brainliest pls
Answer:
both are 75 degrees
Step-by-step explanation:
the angles add up to 180, as they are also vertical angles
Answer:
b=c since they are vertical angles, b=75 and c=75
Step-by-step explanation: The angle opposite of the given is the same (105) that gives you two measure. Add 105+105 to get 210. A set of vertical angles=360 degrees, take away 210 from 360 to get the measure of b+c. Divide that by two to get the measure of either b or c.
need help asp pls The 8 students in Mrs. Howard's class were asked how many minutes it takes them to get to school in the morning. Here is what they answered:
14, 11, 16, 10, 6, 5, 5, 7
Answer:
what's the question thougu
Answer number 2 pls pls pls pls
Answer:
The equation would be 10+55h
Step-by-step explanation:
You have to add 10 to the equation because that is the transportation fee
Then it is 55 dollars per hour and let h represent the number of hours
The full equation would be 10+55h
The 1985 Mexico City earthquake measured a magnitude 8.0 on the Richter scale. The Richter scale uses the function M (I) = log (StartFraction I Over I Subscript 0 Baseline EndFraction). Which equation relates the intensity of the 1985 earthquake, I, with the intensity of the threshold quake, Io?
A.) I = 810(Io)
B.) Io = 810(I)
C.) I = 108(Io)
D.) Io = 108(I)
Answer:
The correct option is C: I = 10⁸I₀.
Step-by-step explanation:
The function of the Richter scale is:
[tex] M_{(I)} = log(\frac{I}{I_{0}}) [/tex]
Since the magnitude of the earthquake is 8.0, the relation between the intensity, I, with the intensity of the threshold quake, Io, is:
[tex] 8.0 = log(\frac{I}{I_{0}}) [/tex]
[tex] 10^{8} = \frac{I}{I_{0}} [/tex]
[tex] I = 10^{8}I_{0} [/tex]
Therefore, the correct option is C: I = 10⁸I₀.
I hope it helps you!
The equation relates with the intensity of the 1985 earthquake, I, with the intensity of the threshold quake, [tex]I_0[/tex] is [tex]I = 10^8I_0[/tex].
Given that,
The 1985 Mexico City earthquake measured a magnitude of 8.0 on the Richter scale.
The Richter scale uses the function M (I) = log (Start Fraction I Over I Subscript 0 Baseline End Fraction).
We have to determine,
Which equation relates the intensity of the 1985 earthquake, I, with the intensity of the threshold quake, Io.
According to the question,
The function of the Richter scale is:
[tex]M_(_I_) =log[ \dfrac{I}{I_0}][/tex]
The magnitude of the earthquake is 8.0, the relation between the intensity, I, with the intensity of the threshold quake, [tex]I_0[/tex] is:
[tex]M_(_I_) =log[ \dfrac{I}{I_0}]\\\\8 =log[ \dfrac{I}{I_0}][/tex]
Taking log base 10 both sides,
[tex]10^8 = \dfrac{I}{I_0}\\\\I = 10^8I_0[/tex]
Hence, The equation relates with the intensity of the 1985 earthquake, I, with the intensity of the threshold quake, [tex]I_0[/tex] is [tex]I = 10^8I_0[/tex].
To know more about the Exponential function click the link given below.
https://brainly.com/question/15673235
6h + 24 = 0
What is h?
Answer:
h= -4
Step-by-step explanation:
6h + 24 = 0
subtract 24 on both sides
6h = -24
divide 6 on both sides
h= -4
Which expression has the same value as the one below?
38 + (-18)
Answer:
D
Step-by-step explanation:
38+(-18) can be changed to 38-18 and the answer will still be the same
SYSTEMS OF EQUATIONS- How many solutions?
Sy = 5x + 12
y = 5x + 18
O one solution
O no solution
O many solutions
Answer:
No solutions
Step-by-step explanation:
They have the same slope(5), meaning that they are parallel. since they are parallel they will never touch, thus there are no solutions
What is the measure of angle F in degrees?
In the diagram the length of segment VS is 39 units what is the length of segment TV
Answer:
33
Step-by-step explanation:
Answer: B. 38
Step-by-step explanation:
Got it right, Edge 2022.
what is 45% of 7/10:)
Answer: 45% of 7/10 is 0.315
Find the factors of 200m2 - 800n2.
Answer:
Step-by-step explanation:
200m^2-800n^2=200(m^2-4n^2)
can I please have some help
Step-by-step explanation:
6.-3
8.-36
10.11
make it braintliest please
Answer:
6) q = -3
8) d = -4
10) y = 10
Step-by-step explanation:
6) -7q = 21
divide by -7 on both sides
q = -3
8) -1/3d = 12
divide both sides by -1/3
d = -4
10) -88 = -8y
divide both sides by -8
10 = y
or
y = 10
The population of a city is 51,000 and is decreasing at a rate of 1.75% per year. Use an exponential function to find the expected population in 5 years. Round to the nearest whole number.
Answer:
46,691
Step-by-step explanation:
Given that:
Initial population, P = 51000
Decreasing rate = 1.75% = 0.0175
Time, t = 5 years
Using the relation :
A (t) = Po * ( 1 - r)^t
A(t) population after t years
Po = Initial population figure
r = rate of decrease
A(t) = 51000 * (1 - 0.0175)^5
A(t) = 51000 * (0.9825)^5
A(t) = 51000 * 0.91550937355400390625
A(t) = 46690.9780
Hence, population after 5 years will be : 46,691
1. The temperature outside is -5°F.
Name the temperature that would make
the sum of the two temperatures 0°F.
I
Your anstver
Question 2
Answer:
1
Step-by-step explanation:
Someone please do this!
Answer:
£518.42
Step-by-step explanation:
Plzzzzzz I need help
Answer:
going in the order top to bottom
i)
2
2
2
2 and 2
ii)
2 and 2
2
2
2 and 2
iii)
2
2
2 and 2
2 and 2
Step-by-step explanation:
you have to find out what number you times to get the number they have given you (eg: you have to get 4 and they have given you the number 2, 2 times what makes 4? the answer is 2)
Can some one really help me please!!!! :(((
Answer:
for the first on its a=24 and for the second its a= 48
Step-by-step explanation:
for the first one you have to find the length which is 8 and then you find the width which is 3 then you multiply that to get 24
for the second one you find the base which is the strait line which is 8 then you find the height which is 6 then you multiply it to get 48 i hopes this helped!
pls hellpppp
The triangles below are similar find Y
Answer:
15Step-by-step explanation:
y = 15
The ratio of the corresponding sides of a similar triangle will be constant. Then the length of y will be 15 units.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
If the two triangles are similar, the ratio of the corresponding sides will be constant.
Then the ratio will be
22 / 10 = 33 / y = x / 12
From first two terms, we have
22/10 = 33/y
y = 15 units
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
mark my qustions brainly pleaseeeeeeeeeeeeeeeeeeeee
Answer:
what do you mean
Step-by-step explanation:
Shasta is going to her best friend's house for dinner. Her mother says she needs to be back in 2 and a half hours. If she leaves at 5:00 pm, what time will she be back?
Answer:
It would be 7:30 pm
Step-by-step explanation:
The ratio of boys to girls in Ella’s grade is 3 to 4. The ratio of boys to girls in Minh’s grade is 4 to 5. Each grade has a total of 20 girls.
How many boys are in each grade?
Answer:
12 boys
Step-by-step explanation:
I believe the answer is 12 boys. I hope this helps!
please help find them
1 AB
2 BC
Answer:
AB ≈ 15.7 cm, BC ≈ 18.7 cm
Step-by-step explanation:
(1)
Using the Cosine rule in Δ ABD
AB² = 12.4² + 16.5² - (2 × 12.4 × 16.5 × cos64° )
= 153.76 + 272.25 - (409.2 cos64° )
= 426.01 - 179.38
= 246.63 ( take the square root of both sides )
AB = [tex]\sqrt{246.63}[/tex] ≈ 15.7 cm ( to 1 dec. place )
(2)
Calculate ∠ BCD in Δ BCD
∠ BCD = 180° - (53 + 95)° ← angle sum in triangle
∠ BCD = 180° - 148° = 32°
Using the Sine rule in Δ BCD
[tex]\frac{BC}{sin53}[/tex] = [tex]\frac{BD}{sin32}[/tex] = [tex]\frac{12.4}{sin32}[/tex] ( cross- multiply )
BC × sin32° = 12.4 × sin53° ( divide both sides by sin32° )
BC = [tex]\frac{12.4sin53}{sin32}[/tex] ≈ 18.7 cm ( to 1 dec. place )
Challenge A large university accepts 40% of the students who apply. Of the students the university
accepts, 45% actually enroll. If 20,000 students apply, how many actually enroll?
students would actually enroll. (Type a whole number.)
Plzzzz help
Answer:
3,500
Step-by-step explanation:
For what value of p would the statement 5p = 30 be true
Answer:
p = 6 is the answer
Step-by-step explanation: