-6(4 + 5v) - 3 = -57
Use distributive properties
-24 -30V -3 = -57
Combine like terms
-27 -30v = -57
Add 27 to both sides
-30v = -30
Divide both sides by -30
V=1
Answer:
v = 1
Step-by-step explanation:
-6(4 + 5v) - 3 = -57
Add 3 to each side
-6(4 + 5v) - 3+3 = -57+3
-6(4 + 5v) = -54
Divide by -6 on each side
-6(4 + 5v) / -6 = -54/-6
4+5v = 9
Subtract 4 from each side
4+5v-4 = 9-4
5v = 5
Divide each side by 5
5v/5 = 5/5
v =1
Angelina wants to put $4,550 in a bank account that earns 5.6% interest compounded quarterly, how much interest will she earn in 8 years?
Answer:
7,035.95
Step-by-step explanation:
If your Current Principal Is 4,550.00, and your interest rate is 5.6%, then in 8 years you would have 7,035.95 if your interest rate is anually.
help will mark brainliest
Answer:
no mistakes
Step-by-step explanation:
There are no mistakes in the derivation of the quadratic formula by completing the square
Step 1
Move c to the right hand side
Step 2 Get x^2 to have a coefficient of 1
Step 3 complete the square by adding ( b/2a) ^2 to each side
Step 4 Write in the completed square form ( x+ b/2x) ^2 = -c/a + ( b/2a) ^2
Step 5 take the square root of each side, remembering the plus and minus
Step 6 subtract (b/2a) from each side
Choose the highest common factor (HCF) of 6xy^3 and 9x^2y
A= x^2y^3
B= 3xy
C= 54x^3y^4
D=18x^2y^3
Answer:
B= 3xy
Step-by-step explanation:
6xy^3= 2ₓ3ₓ x ₓyₓyₓy
9x^2y= 3ₓ3ₓ x ₓ x ₓ y
common factors = 3, x , y
HCF: 3 ₓ x ₓ y
=3xy
Please please help!!!!
Which ordered pair is a solution of this
equation?
3x - 7y = 28
Click on the correct answer
A.
(-4,1)
B.
(0,-4)
C.
(-4,0)
D.
(1,-4)
What is: x^2+2x-35? Please help
Answer:
(x +7)(x - 5)
Step-by-step explanation:
x² + 2x - 35
- 35 = 7*(-5)
2 = 7 + (-5)
x² + 2x - 35 = (x +7)(x - 5)
Will give brainliest ! Just need the answer thats all
Answer:
Brainliest here!
Step-by-step explanation:
for this, its every number thats either 0 or less than 0
B,D,E
Suppose the 3 schools have succeeded in raising
the following amounts of money on day 7:
School A: $5,400, School B: $5,600, School C:
$3,800. Which statement is true?
Click on the correct answer.
School B is below its goal.
School C is at its goal.
School A is above its goal.
Answer:
school b
Step-by-step explanation:
it has more
Answer:
School C
Step-by-step explanation:
It got more than its original amount
A number is equal to twice a smaller number plus 3. Yhe same number is equal to twice the sum of smaller number and 1. How many soluyions are possible for this situation
Answer:
There is no solution to the problem
Step-by-step explanation:
In order to find the solutions to the problem you can write the situation in an algebraic form.
You have that a number is equal to twice a smaller number plus 3. This can be written as follow:
[tex]x=2y+3[/tex] (1)
where x is the number and y is the smaller number
Furthermore, the same number x is equal to twice the sum of the smaller number and 1, which can be written as follow:
[tex]x=2(y+1)[/tex] (2)
To find the solution you equal the equation (1) with (2), and you solve for y:
[tex]2y+3=2y+1[/tex]
[tex]3=1[/tex]
You obtain an inconsistency, hence, the situation of the problem does not have solution
What is the simplified expression in standard form
Answer:
[tex] \boxed{\sf - 2 {p}^{2} - 11p - 35} [/tex]
Step-by-step explanation:
[tex] \sf \implies - 2 {(p + 4)}^{2} - 3 + 5p \\ \\ \sf \implies - 2( {p}^{2} + 2(p)(4) + {4}^{2} ) - 3 + 5p \\ \\ \sf \implies - 2( {p}^{2} + 8p + 16) - 3 + 5p \\ \\ \sf \implies (( - 2) \times {p}^{2} ) + (( - 2) \times 8p) + ( ( - 2) \times 16) - 3 + 5p \\ \\ \sf \implies (- 2 {p}^{2} ) + ( - 16p ) + (- 32) - 3 + 5p \\ \\ \sf \implies - 2 {p}^{2} - 16p - 32 - 3 + 5p \\ \\ \sf \implies - 2 {p}^{2} + (- 16p + 5p) + ( - 32 - 3) \\ \\ \sf \implies - 2 {p}^{2} - 11p - 35[/tex]
3a² . 2a³ find the product
Answer:
[tex]6a^{5}[/tex].
Step-by-step explanation:
To multiply exponents, you will need to begin by multiplying the coefficients as normal. In this instance:
3 · 2 = 6.
When multiplying exponents, however, remember that you must ADD the exponents. Therefore:
3a² · 2a³ = [tex]6a^{5}[/tex]
Please help me with this question
Answer:
P = (2, 3)
Step-by-step explanation:
P is a local minimum, so can be found from the upper zero of the derivative.
y' = 0 = 3x^2 -8x +4
0 = (3x -2)(x -2)
x = 2/3, x = 2
So, the x-coordinate of P is 2. The y-coordinate is found by evaluating the function:
y = ((x -4)x +4)x +3 = ((2 -4)2 +4)2 +3 = 3
The coordinates of P are (2, 3).
__
A graphing calculator confirms this result.
a parabola has its vertex at 1,1 and passes through the point -2,-2. Find the equation of this parabola
Answer:
Step-by-step explanation:1/2 of answer is zero
Answer:
y=1/3x^2+4/3 x -2/3
Step-by-step explanation:
y=1/3x^2+4/3 x -2/3
Plzz give an example
how do you round to the nearest cubic
Answer:
I'm assuming that you mean "Cubic Unit". I will use inches in this example, but this will work with other units as well.
Let's say that the volume of a figure was 124.86 cubic inches.
Rounding to the nearest cubic inch is the same thing as rounding to the nearest whole number.
Locate the 'ones' place:
124.86
Check next door:
124.86
If the next door number is greater than or equal to 5, then we round up. If it's less than 5, we round down.
8 is greater then 5. Therefore, we would round up.
So, 124.86 cubic inches to the nearest cubic inch is 125 in³.
124.86in³ ≈ 125in³
Evaluate 4 - 2(a2 – b2)2 when a = 3 and b = 2.
Answer:
-46
Step-by-step explanation:
4 - 2(a^2 – b^2)^2 =
= 4 - 2(3^2 – 2^2)^2
= 4 - 2(9 - 4)^2
= 4 - 2(5)^2
= 4 - 2(25)
= 4 - 50
= -46
Answer:
= -46
Step-by-step explanation:
4 - 2(a² - b²)²
= 4 - 2(3² - 2²)²
= 4 - 2(9 - 4)²
= 4 - 2(5)²
= 4 - 2(25)
= 4 - 50
= -46
what is 18% of 39 equals what
Answer:
7.02
Step-by-step explanation:
[tex]\frac{18}{100}[/tex] x 39 = 7.02
First write 18% as a decimal by moving the
decimal point two places to the left to get .18.
Next, the word "of" tells us we need to multiply.
So we multiply (.18)(39) to get 7.02.
So 7.02 is 18% of 39.
Nine subtracted from the product of 3 and a number is less than 23
Answer:
3n-9<23
You can use any variable you want for n
Answer:
32/3
Step-by-step explanation:
Nine subtracted from the product of 3 and a number is less than 23
-9 3n < 23
3n-9 < 23
3n < 23+9
3n < 32
n < 32/3
Don't forget to say THANKS
Draw a quadrilateral ABCD with AB = 8.5cm, BC =4.5cm, CD =5cm , DA = 6cm , BD =7.5cm. Draw an equal area Triangle
Answer:
Check below please
Step-by-step explanation:
A quadrilateral is a polygon with four sides.
Then let's plot it, check it below.
1) Since 5 line segments were given for a quadrilateral, one of them is an interior one. In this quadrilateral, a rhombus. We have a diagonal, id est a line segment between non-consecutive points.
2) Let's calculate the area of this rhombus. Since this polygon is made up of two triangles let's find it using Heron's Formula, not very popular. But equally valid, also we don't have the height nor angles.
All we need is the semi-perimeter, (half of the Perimeter (2P) and plug it in the formula:
[tex]\bigtriangleup ABD semi-perimeter:\frac{6+8.5+7.5}{2} \therefore s=11\\Area \:\bigtriangleup ABD=\sqrt{11(11-6)(11-8.5)(11-7.5)}=\frac{5\sqrt{77}}{2} \approx21.94 cm\\\\\bigtriangleup \:BCD\: semi-perimeter:\frac{4.5+5+7.5}{2} \therefore s=8.5\\\\Area \bigtriangleup BCD=\sqrt{8.5(8.5-4.5)(8.5-5)(8.5-7.5)}=\sqrt{119}\approx 10.90[/tex]
[tex]Area\: of\: Rhombus\: ABCD=21.94+10.90=32.84 cm^2[/tex]
3) Well, now we need to trace a triangle whose area is 32.84 cm^2. From the classical formula for Area of Triangles we can write:
[tex]\frac{b*h}{2}=32.84 \therefore b*h=65.68[/tex]
Let's find out two values one for the base and another for height. Since 65.58 can be divided both by two and three, it is divisible by 6.
So
[tex]65.58 : 6 =10.93\\b=6\\h=10.93[/tex]
ABC is similar to APQ. Find x and y.
Answer:
x = 10.8
y = 11.2
Step-by-step explanation:
AB : AP = AC : AQ
5 :(5+9) = 6 : (6+x)
5: 14 = 6 :(6+x)
5(6+x) = 14*6
30 + 5x = 84
5x = 54
x = 10.8
AB : AP = BC :PQ
5 :14 = 4 : y
5y = 14*4
y = 11.2
what is the c value?
answer in x= form
Florence Tyler invests $5000 in a 1-year CD that earns interest at an annual rate of 4% compounded monthly. The amount per $1.00 is 1.040742. What is the interest earned?
Answer:
$203.71
Step-by-step explanation:
Given;
Principal = $5,000
The amount per $1.00 is given as 1.040742
The total amount earned is equal to the product of the principal and the amount per dollar.
A = Principal × amount per dollar
Substituting the values;
A = $5000 × 1.040742
A = $5203.71
Interest earned = Total amount earned - principal
Interest earned = $5203.71 - $5000
Interest earned = $203.71
What two integers multiply to be 20 and add to be 12
Answer:
10 and 2
Step-by-step explanation:
[tex]10*2=20\\\\10+2=12[/tex]
Answer:
10 and 2
Step-by-step explanation:
Use trial and error method Or, I recommend finding the factors of 20.
The first ones that come to mid would be:
10, 2
4,5
20,1
Then we try each of them out, by adding the corresponding factors.
this way, we see that 10 and 2 are the only ones.
Please mark brainiest
Please help me with math
Answer:
SA: 456
V: 408
Step-by-step explanation:
To find the volume of this prism, you first need to find the area of the triangular base. The base has dimensions 6 by 8, and since it's a triangle, the area of the base is 6*8/2=24. Multiplying this by the length of the prism, you get a volume of 24*17=408. For the surface area, you need to find and add together the areas of all of the surfaces. We have already determined that the area of the two triangular bases are 24. The rectangle formed by the leg with length 6 has area 6*17=102, the one with length 8 has area 136, and the hypotenuse has area 170. Adding all of this together, you get a surface area of 24+24+102+136+170=456 square centimeters. Hope this helps!
PLEASE GIMMI ANSWER ASAP
Sharon wants to buy a shirt that cost 40$. The sales tax is 5%. How much is the sales tax. What is her total cost for the shirt.
100% + 5% = 105 %
105/100 x 40$ = 42$
Answer:
hi the answer is 2$
Step-by-step explanation:
40 divided by 10 is 4 divided by 2 is 2
tell me if you need any more help please mark as brainliest
A classroom has a total of 26 students, 13 Students in the classroom are females and the rest are males. 5 males students have long hair and 9 female students wear glasses. A Student is called to the principal's office. What is the probability that the student being called is female and does not wear glasses. Explain your answer...
Answer:
15%
Step-by-step explanation:
There is 26 students 13 are females of those 13 nine of them wear glasses if you subtract 13 minus 9 you are left with 4 and if you divide that 4 by 26 you get the percentage of girls without glasses which is 15%
please answer asap the photo is below
Answer: 1; -5
Step-by-step explanation:
For this problem, we are asked to find the slope and y-intercept.
We see that this linear line goes through the y-axis at (0,-5). therefore, our y-intercept is -5.
To find the slope, we would use the formula [tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]. We can use the points (0,-5) and (5,0) since we can clearly see the line goes through these 2 points.
[tex]m=\frac{0-(-5)}{5-0} =\frac{5}{5} =1[/tex]
From our formula, we found that the slope is 1.
For the first box, you would fill in 1, the slope. The second box would be -5, the y-intercept.
Answer:
y = x - 5
Step-by-step explanation:
One can immediately read off the slope, m, from the graph: m = 5 / 5 = 1.
The y-intercept is (0, -5).
In slope-intercept form the equation of this graph is y = x - 5
Find n so that C(n, 3) = P(n, 2).
Answer:
n = 19/6
Step-by-step explanation:
Formula for C(n,r) = n!/(r!(n-r)!)
C(n,3) = n! /( 3! * (n - 3)!)
Formula for P(n,r) = n!/(n-r)!
P(n,2)= n!/(n-2)!
C(n, 3) = P(n, 2)
n! /( 3! * (n - 3)!) = n!/(n-2)!
[tex]\frac{n!}{3!(n-3)!}= \frac{n!}{(n-2)!}[/tex] cross multiply
n!(n-2)! = n! 3! (n-3)!
(n-3)! = (n-3)(n-2)!
so n!(n-2)! = n! 3! (n-3)! becomes
n!(n-2)! = n! 3! (n-3)(n-2)! divide both sides by n!(n-2)!
1 =6(n-3)
1 =6n -18
19 = 6n
n = 19/6
Graph the solution of this inequality:
350 > 125 + 15.r
Unfortunatly brainly does not provide me with graphics support.
First thing to realise is that we are dealing with inequality which essentially means that the solution will be an interval or more specifically a possibly constrained set of value.
Here is the inequality:
[tex]
350 > 125 + 15r
[/tex]
If we subtract 125 and then divide by 15 on both sides we get:
[tex]
r > 15
[/tex]
This notation essentialy means that inequality is true for any r smaller than 15. We can write that as r being in some set of numbers that represents the possibilites:
[tex]r\in\{14,13,12,\dots,-\infty\}[/tex]
In interval notation that is:
[tex]r\in(-\infty,15)[/tex]
An isosceles triangle in which the two equal sides, labeled a, are longer than the base, labeled b.
This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 models this information.
If one of the longer sides is 6.3 centimeters, which equation can be used to find the length of the base?
The side labeled "a" is made the longer side. These are the two congruent sides. So a > b.
We are told that the longer side is 6.3, so a = 6.3, meaning that
2a+b = 15.7
2(6.3)+b = 15.7
12.6+b = 15.7
b = 15.7-12.6
b = 3.1
The triangle has sides of: 6.3, 6.3, 3.1
The perimeter is 6.3+6.3+3.1 = 15.7
Going back to the question "which equation can be used to find the length of the base?", it sounds like either you were given a list of multiple choice answers, or you just fill in the blank. If multiple choice, then try to see which answer matches with what I wrote above. If fill in the blank, then I would just enter either 2(6.3)+b = 15.7 or 12.6+b = 15.7
Answer:
2(6.3)+b = 15.7 or 12.6+b = 15.7
Step-by-step explanation:
Need help it’s URGENT!
Answer:
either b or c
Step-by-step explanation:
i think
The probability of drawing a pearl bead out of a bag of mixed beads is 2/3. What is the probability of drawing a bead which is not a pearl?
Answer:
1/3
is the answer
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