7b - 2/5 = 6b - 7/5 equations with variables on both sides: decimals & fractions
Final Answer: [tex]b = -1[/tex]
Steps/Reasons/Explanation:
Question: [tex]7b - 2/5 = 6b - 7/5[/tex] equations with variables on both sides: decimals & fractions.
Step 1: Subtract [tex]6b[/tex] from both sides.
[tex]7b - \frac{2}{5} - 6b = -\frac{7}{5}[/tex]
Step 2: Simplify [tex]7b - \frac{2}{5} - 6b[/tex] to [tex]b - \frac{2}{5}[/tex].
[tex]b - \frac{2}{5} = -\frac{7}{5}[/tex]
Step 3: Add [tex]\frac{2}{5}[/tex] to both sides.
[tex]b = -\frac{7}{5} + \frac{2}{5}[/tex]
Step 4: Simplify [tex]-\frac{7}{5} + \frac{2}{5}[/tex] to [tex]-1[/tex].
[tex]b = -1[/tex]
~I hope I helped you :)~
Determine the equation of a circle with a center at (–4, 0) that passes through the point (–2, 1) by following the steps below. Use the distance formula to determine the radius: d = StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot Substitute the known values into the standard form: (x – h)² + (y – k)² = r². What is the equation of a circle with a center at (–4, 0) that passes through the point (–2, 1)? x2 + (y + 4)² = StartRoot 5 EndRoot (x – 1)² + (y + 2)² = 5 (x + 4)² + y² = 5 (x + 2)² + (y – 1)² = StartRoot 5 EndRoot
Answer:
Radius length: √5
Standard Form (Equation): (x + 4)^2 + y^2 = 5
Step-by-step explanation:
First we will determine the radius;
Center: (-4, 0)
Point on Circumference: (-2, 1)
d = √(-2 - (-4))^2 + (1 - 0)^2 = √(2)^2 + (1)^2
= √4 + 1 = √5
Therefore the radius is of length √5
Now the equation of a circle is in the form ((x - h)^2 + (y - k)^2) = r^2. The center is in the form (h,k) and r is the radius. Given this our equation would be (x - (-4))^2 + (y - 0)^2 = (√5)^2, or [simplified] (x + 4)^2 + y^2 = 5.
Answer:
its C. (x + 4)² + y² = 5
Step-by-step explanation:
edge
what is the HL postulate
Answer:
HL Postulate
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HL Postulate(Hypotenuse - Leg) or RHS theorem -> If any two right angles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
AC ≅ DF , BC ≅ EF and ∠B ≅ ∠E ( both 90 0 )
∴ Δ ABC ≅ Δ DEF by RHS theorem
Theorem : Prove RHS theorem or postulate.
Given : AC = DF , BC = EF and ∠B = ∠E = 90 0
Prove that : ΔABC ≅ ΔDEF
Construction : Extend DE to G so that EG = AB. Join GF.
Statements
Reasons
1) AB = GE 1) Construction
2) ∠B = ∠FEG 2) Each 900
3) BC = EF 3) Given
4) ΔABC ≅ ΔGEF 4) By SAS postulate
5) ∠A = ∠G 5) CPCTC
6) AC = GF 6) If the two angles are congruent then angle opposite to them are equal
7) AC = DF 7) Given
8) DF = GF 8) By transitive property
9) ∠D = ∠G 9) Angles opposite to equal sides in ΔDGF are equal
10) ∠A = ∠D 10) From (5) and (9)
11) ∠B = ∠E 11) Given
12)∠A+∠B=∠D+∠E 12) Adding (10) and (11)
13) ∠C = ∠F 13) ∠A + ∠B + ∠C = 180
and ∠D + ∠E + ∠F = 1800
14) ΔABC ≅ ΔDEF 14) By SAS postulate and from (3) (7) and (13)
Step-by-step explanation:
Answer:
Step-by-step explanation:
HL is the the Hypothenuse Leg Postulate that sais that
If the hypotenuse and leg of one triangle are congruent
to the hypotenuse and leg of another triangle
then the triangles are congruent.
What is the solution to the inequality
-−
5
(
2
x
−
4
)
+
8
>
4
+
4
(
x
+
6
)
Answer:
x>20/3
Step-by-step explanation:
quick!! using y= 5x + 12 find the slope of a parallel line
Answer:
y=5x-10
Step-by-step explanation:
check whether
[tex] \frac{4}{5} [/tex]
is terminating or non terminating repeating decimal.
Answer:
Non terminating
Step-by-step explanation:
4/5=0.8 so non terminating
Hope this helps :D
(A) I (B) II (C) III (D) IV (E) V (F) VI (G) VII
Answer:
a and c
Step-by-step explanation:
Congruent Triangles and Proofs
Given: JK bisects
Answer:
Step-by-step explanation:
1S. JM bisects ∠ KJL and ∠JMK ≅ ∠JML
1R. Given
2S. ∠KJM ≅ ∠LJM
2R. Angle bisectors form ≅ ∠s
3S. JM≅JM
3R. Reflexive Propriety ( segment is ≅ with itself)
4S. ΔJMK ≅ΔJML
4R. ASA theorem of congruency
5S. JK≅JL
5R. Coresponding parts of congruent Δs are congruent (CPCTC)
What property should you use first to solve 14+c=39
Answer:
Subtraction
Step-by-step explanation:
What is the opposite of
V3?
HURRY!!!!!
Answer: V^3
V times V times V
Step-by-step explanation:
I think?
If, a quadratic equation in the form of ax+ bx + c = 0 has a discriminant
value of 32, then it will have 2 real, rational solutions.
true or false
Answer:
True
Step-by-step explanation:
The discriminant is the part of the quadratic formula that is inside the square root, b²-4ac. If b²-4ac is 32, a positive number, then the solutions will be rational numbers. If this discriminant was a negative value, then you would get imaginary numbers (non rational).
At the recommendation of his veterinarian, Xavier decides to place his cat on a diet. His cat's original weight was 19.4 pounds. After Xavier put his cat on a diet, the cat lost weight at a constant rate. The table below shows the cat's weight, w, and the months, m, since he began his diet. Months Weight (lb.) 1 18.26 2 17.12 3 15.98 4 14.48 Which equation models the cat's weight after m months?
Answer:
w=1.14m-19.4
Step-by-step explanation:
m = months, the cat loses 1.14lbs per month. plus the cat started with 19.4 pounds. each month 1.14 is being subtracted from 19.4
I need help with this question I can’t figure it out
Answer:
they are parallel
Step-by-step explanation:
they are parallel since their slope are equal
9/6 can be simplified to 3/2
Answer:
You're right; it's choice B parallel
Step-by-step explanation:
When it comes to two equations, when their slopes are the same, they are parallel. If the slopes are negatively reciprocated then they are perpendicular.
THIS ONE TOOOO AND MORE COMING
Answer:
uh
Step-by-step explanation:
Answer:
[tex] \widehat {DC} [/tex]
Step-by-step explanation:
Since, DC is the diameter of the circle.
Therefore,
[tex]m\widehat{DC} = 180\degree [/tex]
simplify the expression -3/8(-4y+z)
Answer:
3/2y-3/8z
Step-by-step explanation:
-3/8(-4y)-3/8z
Ana decides to start a lemonade stand. She goes to the store to buy her supplies, and those cost her $50. The city of Richmond also requires anna to pay a fee of $5 per day to set up lemonade stand at the park. Write the equation for her total cost (c) in terms of (d) days.
Answer:
[tex]c=5d+50[/tex]
Step-by-step explanation:
Given that:
Supplies of the lemonade bought at price = $50
Money paid per day to setup lemonade stand at the park = $5
To find:
Equation of her total cost.
Solution:
Let the number of days = [tex]d[/tex]
Per day cost of setting up the lemonade stand is given as $5.
If the number of days are [tex]d[/tex], then the cost of [tex]d[/tex] days can be found by multiplying the per day cost with the number of days.
Therefore, the expression for cost for [tex]d[/tex] number of days = [tex]\$5d[/tex]
Total cost for [tex]d[/tex] number of days can be found by adding the cost of supplies and cost for [tex]d[/tex] number of days for setting up the stand:
[tex]c=5d+50[/tex]
e - i = 5
e + 3i = 9
e value =
i value =
What is the answer
Answer:
e value = 6
i value = 1
Step-by-step explanation:
The system of equation are;
e - i = 5...(1)
e + 3·i = 9...(2)
Making e the subject of equations (1) and substituting the value of e equation (2) gives;
From equation (1), e - i = 5, we have, e = 5 + i
Substituting the value of e in equation (2), e + 3·i = 9 gives;
e + 3·i = (5 + i) + 3·i = 5 + 4·i = 9
4·i = 9 - 5 = 4
i = 4/4 = 1
i = 1
From e = 5 + i, we have;
e = 5 + i = 5 + 1 = 6
e = 6
Therefore;
e value = 6
i value = 1
I give brainlist and 5 stars :))
Answer:
A, she read 3 book in the first 2 months
Step-by-step explanation:
I hope this helps :)
PLEASEE HELP I WILL GIVE BRAINLIEST!
Answer:
It would be C, Y=x-7
Step-by-step explanation:
Each X in the left column is 7 more than Y in the right column.
Everytime theres an X, you subtract 7 to get Y, making the equation y=x-7
Find the simple interest earned for principal of $2,000 at and 8% rate for 5 years.
Answer:
$2800.00
Step-by-step explanation:
A total accrued amount 800 = principal (P) $2000 + interest (I)
R Rate of interest per year decimal - 0.08
X Rate of interest per year percentage - 8%
T time period months or years - 5 years
Equation will be A = P (1 + RT)
first convert X to R = percentage to decimal
X = R/100 = 8%/100 = 0.08 per year
Solving:
A = 2000 (1 + (0.08 x 5)) = 2800
A = $2800
Solve for x
9(x-1)=81
x=
Answer:
10
Step-by-step explanation:
9(10-1)=81
Esmeralda received a bag of jellybeans that contained a mixture of regular flavored jellybeans and "surprise" jellybeans. The bag advertised that 15% of the jellybeans were "surprise" flavors. If she counted 40 jellybeans in the bag, how many should she expect to be the "surprise" jellybeans?
Answer:
6 jellybean
Step-by-step explanation:
Given that:
Esmeralda received a bag of jellybean the contains regular flavored jelly beans and surprise jelly bean.
Consider the regular flavored jellybean to be = r; &
The surprise jelly bean.= s
From the bag, there are 40 jellybeans of which 15% is surprise jellybean.
Therefore the number of expected surprise jellybeans is:
= total number of jellybeans × percentage of surprise jellybean
= 40 × (15 /100)
= 6 jellybean
If 6 surprise jellybean is presented in the bag; then the number of regular flavored jellybean = 40 - 6 = 34 regular flavored jellybean
What is the range of the function y = x??
Oyo
oxio
all real numbers
Answer:
All Real Numbers
General Formulas and Concepts:
Algebra I
Range is the set of y-values that are outputted by function f(x)Step-by-step explanation:
If we graph the function, we see that the line stretches out from negative infinity to infinity for both x-values and y-values.
If that is the case, then that means that there is no restrictions on the y-values.
Therefore, our range is (-∞, ∞) or All Real Numbers.
complete the table for each equation.
Help plz
Answer: (1, -2) (4, -8) (-5, 10) ( 3, -6)
Step-by-step explanation:
You solve all of them by inputting the x value's into the x in the equation
Here:
y= -2(1) x=1 y= -2
y= -2(4) x=4 y= -8
y= -2( -5) x= -5 y= 10
y= -2(3) x= 3 y= -6
Sharon buys four salmon steaks for $22.95 at her local supermarket. The weights of the steaks, in pounds, are 0.68, 0.74, 0.77, and 0.81. To the nearest cent, what is the price of salmon steak per pound?
Answer:
$7.65
Step-by-step explanation:
Given that:
Money used for buying the four salmon steaks = $22.95
Weights of steaks in pounds = 0.68, 0.74, 0.77, and 0.81
To find:
Price of salmon steak per pound, to the nearest cent = ?
Solution:
Total weight of all 4 steaks = 0.68 + 0.74 + 0.77 + 0.81 = 3
Here, to find the price of salmon steak per pound we need to divide the total money used to buy salmon steaks with the total weight of salmon steaks in pounds.
Price of salmon steak per pound = [tex]\frac{22.95}{3} = \$7.65[/tex]
HURRY PLZ I WILL GIVE BRAINLIEST....Fernando evaluated the expression below. StartFraction 5 (9 minus 5) over 2 EndFraction + (negative 2) (negative 5) + (negative 3) squared = StartFraction 5 (4) over 2 EndFraction minus 10 + 9 = StartFraction 20 over 2 EndFraction minus 10 + 9 = 10 minus 10 + 9 = 9. What was Fernando’s error? Fernando evaluated the numerator of the fraction incorrectly. Fernando simplified StartFraction 20 over 2 EndFraction incorrectly. Fernando incorrectly found the product of –2 and –5. Fernando evaluated (negative 3) squared incorrectly.
Answer:
The correct answer is...
Fernando incorrectly found the product of –2 and –5.
I hope this helps! Have a nice day!
Match each expression to its simplified answer
9x-3y + 5y
Answer:
9x + 2y
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
9x - 3y + 5y
Step 2: Simplify
Combine like terms (y): 9x + 2yA bakery sells doughnuts in boxes. Each box has 9 doughnuts in it. If the bakery sold 54 doughnuts, how many boxes did it sell?
The answer is 6.
9 times 6 = 54.
Help will give crown
Answer:
x = -4 y = -2(-4) - 4 = -12
x = -2 y = -2(-2) - 4 = 0
x = 0 y = -2(0) - 4 = -4
x = 2 y = -2(2) - 4 = -8
Hope this helps! ;)
please help thanks in advance
Answer:
length of each is 51
Step-by-step explanation:
they are congruent triangles so they are equilateral
therefore, you can set 7x - 5 and 5x + 11 equal to each other and solve for 'x'
2x = 16
x = 8
Substitute 8 into each expression and both come out to be 51