Answer:
z= -3
Step-by-step explanation:
Given:
1/2z =-3/4 + 1/4z
Collect like terms
1/2z - 1/4z = -3/4
Add 1/2z - 1/4z
2z-z / 4 = -3/4
We have
z/4=-3/4
Same as
z(1/4) = -3/4
Divide both sides by 1/4
z(1/4) ÷ 1/4 = -3/4÷1/4
z(1/4) × 4/1= -3/4 × 4/1
z(4/4) = -12/4
z= -3
The value of z= -3
Answer:
-3
Step-by-step explanation:
I got it right on the test
Solve for x help please
Answer:
A. 5
Step-by-step explanation:
Based on the secant and tangent theorem, (4 + x)*4 = 6²
We can solve for x using the equation which describes the relationship between secant and tangents.
Thus,
[tex] (4 + x)*4 = 6^2 [/tex]
[tex] 4*4 + x*4 = 36 [/tex]
[tex] 16 + 4x = 36 [/tex]
Subtract 16 from both sides
[tex] 4x = 36 - 16 [/tex]
[tex] 4x = 20 [/tex]
Divide both sides by 4
[tex] \frac{4x}{4} = \frac{20}{4} [/tex]
[tex] x = 5 [/tex]
Christina has $103 earned from babysitting saved at home, and the amount is modeled by the function h(x) = 103. She reads about a bank that has savings accounts that accrue interest according to the function s(x) = (1.03)^(x-1). Explain how Christina can combine the two functions to model the total amount of money she will have in her bank account as interest accrues after she deposits her $103. Justify your reasoning.
Answer:
→To combine the two functions, you have to multiply them together, like so:
h(x) · s(x)
→This can also be shown as:
[tex](103)(1.03)^x^-^1[/tex]
The reason as to why you would multiply the two functions together, and not add, is because of the words accrues. Based on the information given, the interest amount of money, which is $103, accrues, which basically means that the money will increase in a pattern, over time. In addition, when a world problem involves a bank and money, multiplication is usually occurring.
The total amount of money Christina will have in her bank account as interest accrues after she deposits her $103 is g(x) = (103)(1.03)^(x-1).
What is simple interest?Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.
Christina has $103 earned from babysitting saved at home, and the amount is modeled by the function,
[tex]h(x) = 103[/tex]
She reads about a bank that has savings accounts that accrue interest according to the function,
[tex]s(x) = (1.03)^{(x-1)}[/tex]
This function means that the interest amount is 3% in value per year in which x represent the number of years.
Now the total amount of money she will have in her bank account as interest accrues will be equal to the product principal and interest rate.
Let the amount of money she will have in her bank account as interest accrues is represented by function g(x). Thus,
[tex]g(x) = (103)(1.03)^{(x-1)}[/tex]
Thus, the total amount of money Christina will have in her bank account as interest accrues after she deposits her $103 is.
[tex]g(x) = (103)(1.03)^{(x-1)}.[/tex]
Learn more about the simple interest here;
https://brainly.com/question/2294792
Plz help me with this problem guys
Which inequality represents the following situation ; times 5 less than a number is no more than 272
0
A 3(x - 5) = 27
B. {x-5527
C 3 (5 – ) 2 27
D.(x - 5) 27
Answer:
A.
Step-by-step explanation:
from what the question states im assuming it was 3 times 5 less than a number is no more than 272.
if we look at a it fits it perfectly.
3 times 5 less than a number is no more than 272 =
3(x-5) = 272.
Hope it helps <3
Dawn and Jackson have baseball cards in the ratio of 2:3. Together, they have a total of 60 baseball cards. How many baseball cards does each child have?
Answer:
24 and 36
Step-by-step explanation:
2x + 3x = 60
5x = 60
x = 12
Dawn has 2(12) = 24
Jackson has 3(12) = 36
Step-by-step explanation:
To find the number of baseball cards each person received we must first find the total parts
That's
2 + 3 = 5
For Dawn
Dawn's part is 2
We have
2/5 × 60
= 24 baseball cardsFor Jackson
Jackson's part is 3
That's
3/5 × 60
= 36 baseball cardsHope this helps you
If everybody on the team scores 6 points, and the team has a total of 42 points, how many people are on the team? 6 p = 42 7 p = 42 6 + p = 42 42 - p = 6
If everybody on the team scores 6 points, and the team has a total of 42 points, the people that are on the team are 7 people.
What is addition?The addition is one of the four basic mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.
The addition is a method of merging items and counting them as a single, large group. In mathematics, addition is the process of joining two or more integers.
The process of adding two or more numbers together to get their sum is known as an addition. The addition is a fundamental arithmetic operation that is used to compute the sum of two or more numbers. For instance, 7
+ 7 = 14.
6p = 42
P = 42/6
P = 7
Therefore, the people that are on the team are 7 people.
To learn more about addition, refer to the link:
https://brainly.com/question/29560851
#SPJ2
Please answer this question now
Answer:
m<C = 102°
Step-by-step explanation:
Step 1: find measure of arc BC.
According to the Inscribed angle theorem of a circle, an inscribed angle is half the measure of the arc it intercepts.
m<D intercepts arc ABC
thus, 80° = ½(120+BC)
Solve for BC. Multiply both sides by 2
80*2 = 120 + BC
160 = 120 + BC
BC = 160 - 120 = 40°
Step 2: Find m < A
According to the Inscribed angle theorem, m < A = ½ of arc BCD = ½(40 + 116)
m < A = 78°
Step 3: find m < C
m < A + m < C = 180 (opposite angles of an inscribed quadrilateral are supplementary)
m < C = 180 - 78 = 102°
The expression 6(x − 5) means the . If x = 7, the value of the expression is
Answer:
Hey there!
6(x-5)
6(7-5)
6(2)
12
Hope this helps :)
Answer:
12
Step-by-step explanation:
Replace x by 7 in 6(x-5) to be able to evaluate the expression.
● 6(x-5)
● 6(7-5)
● 6 × 2
● 12
So the expression is equal to 12 when x=7
What is the reason: if a+c=b+c then a=b
Step-by-step explanation:
Example 1:
a+c=b+c then a=b
First let the value of a and b be different (not equal)
a=5
b=7
c=10
a+c=b+c
5+10=7+10
15≠17
Example 2:
Let the value a and b be equal (the same)
a=5
b=5
c=10
a+c=b+c
5+10=5+10
15=15
So when,
a+c and b+c is equal, a and b are always equal.
Hope this helps ;) ❤❤❤
Answer:
a=b
Step-by-step explanation:
Reason:
a+c=b+c
a-b=c-c
c-c would be 0
if a-b=c-c=0
a-b=0
Only if a=b can a-b=0
You can also take it as:
b-a=c-c (a+c=b+c)
b-a=0=c-c
Therefore b=a
By the way even I am a BTS army
Choose the best definition for the following phrase: combining like terms (1 point)
A letter that holds the place for some unknown value in mathematics
A process where you must look for terms that have identical variable parts and then combine their coefficients
A process where if two things are equal, one can be put in the place of the other and nothing will change
Terms that have identical variable parts
Answer:
D. Terms that have identical variable parts
Step-by-step explanation:
Like terms refers to terms that have identical variable parts.
For example:
Given the expression
2xy + z + x + 3y - 5z + 4y - xy + 3x
The like terms in the expression are:
2xy - xy= xy
z - 5z= -4z
x + 3x= 4x
3y + 4y=7y
The new expression will be
xy - 4z + 4x + 7y
Dimitri and Jillian were trying to solve the equation:(x+1)(x+3)=12(x+1)(x+3)=12(x+1)(x+3)=12left parenthesis, x, plus, 1, right parenthesis, left parenthesis, x, plus, 3, right parenthesis, equals, 12Dimitri said, "The left-hand side is factored, so I'll use the zero product property."Jillian said, "I'll multiply (x+1)(x+3)(x+1)(x+3)(x+1)(x+3)left parenthesis, x, plus, 1, right parenthesis, left parenthesis, x, plus, 3, right parenthesis and rewrite the equation as x2+4x+3=12x^2+4x+3=12x2+4x+3=12x, squared, plus, 4, x, plus, 3, equals, 12. Then I'll solve using the quadratic formula with a=1a=1a=1a, equals, 1, b=4b=4b=4b, equals, 4, and c=3c=3c=3c, equals, 3.Whose solution strategy would work?Choose 1 answer:Choose 1 answer:(Choice A)AOnly Dimitri's(Choice B)BOnly Jillian's(Choice C)CBoth(Choice D)DNeither
Answer:
D. NeitherStep-by-step explanation:
The equation that Dimitri and Jillian were trying to solve is expressed as
(x+1)(x+3) = 12. They are both solving this equation to get the value of x.
Based on the their suggestion, Jillian strategy would have been the best and the only one that will work for us in solving the equation but he didn't take cognizance of 12 when using the formula in his second step hence None of them are correct. The following steps should have been taken;
Step 1: Multiply out the expression (x+1)(x+3)
= (x+1)(x+3)
= x(x)+ 3x+x+1(3)
= x² + 3x + x + 3
= x² + 4x + 3
He got x² + 4x + 3 on expansion
Step 2: He should have rewrote the equation as shown;
x² + 4x + 3 = 12
x² + 4x + 3 -12 = 0
x² + 4x -9 = 0
Step 3: He used the quadratic formula to factorize the expression x² + 4x + 3 where a = 1, b = 4 anad c = -9
x = (-b±√b²-4ac)/2a
x = (-4±√(4)²-4(1)(-9))/2(1)
x = -4±√16+36/2
x = (-4±2√13)/2
x = (-4+2√13)/2 or (-4-2√13)/2
x = -2+√13 or -2-√13
Hence Neither of them is correct. Jillian is almost correct but he should have equated the equation to zero by taking 12 into consideration before factorizing.
what’s the equation
Answer:
y = 4. [tex]3^{x}[/tex]
Step-by-step explanation:
For an exponential function in the form
y = a[tex]b^{x}[/tex]
Use ordered pairs from the table to find a and b
Using (0, 4 ), then
4 = a [tex]b^{0}[/tex] ( note [tex]b^{0}[/tex] = 1 ), thus
a = 4
y = 4 [tex]b^{x}[/tex]
Using (1, 12 ), then
12 = 4 [tex]b^{1}[/tex] = 4b ( divide both sides by 4 )
b = 3
Thus
y = 4 . [tex]3^{x}[/tex] ← exponential equation
GIVING BRAINLIEST TO THE FIRST PERSON TO ANSWER!
Three stores have the same tablet computer on sale. The regular price of the tablet is $150. Store A is offering the tablet on sale at 15% off the regular price. Store B is offering a $25 coupon to be deducted from the regular price. Store C is offering a rebate of $20.00 to purchasers. Store D has the tablet on sale for $120.00. Which store is offering the tablet at the lowest cost?
A. Store A
B. Store B
C. Store C
D. Store D
Show ALL work please! <3
Answer: Store D
Step-by-step explanation:
Store A - 15% off:
$150 times 15/100 = 22.5
$150 - $22.50 = $127.50 so the price at store A is $127.50
Store B - $25 coupon
$150 - $25 = $125 so the price at store B is $125
Store C - $20 rebate
$150 - $20 = $130 so the price at store B is $130
Store D - $120
$120 is the lowest so the answer is Store D
Answer:
[tex]\Large \boxed{\mathrm{Store \ D}}[/tex]
Step-by-step explanation:
Store A is offering the tablet on sale at 15% off the regular price.
150 × (1 - 15%) = 127.5
Store B is offering a $25 coupon to be deducted from the regular price.
150 - 25 = 125
Store C is offering a rebate of $20.00 to purchasers.
150 - 20 = 130
Store D has the tablet on sale for $120.00.
Store D is offering the tablet at the lowest cost.
how many are 4 raised to 3 ???
Answer:
64
Step-by-step explanation:
4^3
This is 4 multiplied by itself 3 times
4*4*4
64
Which of the following choices evaluates (-x)^2 when x=-1
Answers:
1)1
2)-2
3)-1
The value of which of these expressions is closest to e?
33
31
B.
O A. (1-5
+39)
(1+0)
(1+3)
32
C.
134
D.
Answer:
(1 +1/34) to the power of 34
Step-by-step explanation:
The value of a car is $20,000. It loses 10.7% of its value every year . Find the approximate monthly decrease in value . Round your answer to the nearest tenth.
Answer:
$178.3
Step-by-step explanation:
The value of a car is $20,000
The car loses 10.7% of its value yearly
Since there are 12 months in a year then 10.7% can be represented as
10.7%/12
= 0.8916%
Therefore the approximate monthly decrease in value can be calculated as follows
= $20,000×0.8916/100
= $20,000×0.008916
= $178.3
Hence the approximate monthly decrease in value is $178.3
Find x - y subtracted from 0.
1. -y-x
2. x-y
3. -x + y
Answer: Option 3
Step-by-step explanation:
pls answer
brainiest guaranteed
Answer:
T^2g / (4 pi^2) = L
Step-by-step explanation:
T = 2 pi sqrt( L /g)
Divide each side by 2 pi
T / 2 pi = 2 pi sqrt( L /g) / 2 pi
T / 2 pi = sqrt( L /g)
Square each side
(T / 2 pi) ^2 =( sqrt( L /g))^2
T^2 / (4 pi^2) = L /g
Multiply each side by g
T^2 / (4 pi^2) *g= L /g *g
T^2g / (4 pi^2) = L
Answer:
Step-by-step explanation:
26.
What is the solution to. y - 9 > 4 + 2y?
HELP. answer if you can!
Answer:
y<−13
y−9>4+2y
Simplify both sides of the inequality
y−9>2y+4
Subtract 2y from both sides
y−9−2y>2y+4−2y
−y−9>4
Add 9 to both sides.
−y−9+9>4+9
−y>13
The divide both sides by -1
Answer:
[tex]\boxed{y < -13}[/tex]
Step-by-step explanation:
Hey there!
To solve for y we‘ll combine like terms and use the communicative property.
y - 9 > 4 + 2y
+9 to both sides
y > 13 + 2y
-2y to both sides
-y > 13
Divide -1 by both sides
y < -13
Hope this helps :)
A school survey of 90 sixth graders showed that 25% of them play basketball and about 17% play soccer. What are the chances that a sixth grader plays basketball AND soccer?
Answer:
0.0425
Step-by-step explanation:
probability of basket player = 0.25
probability of being a soccer player = 0.17
chances that a sixth grader plays basketball AND soccer = 0.25×0.17 = 0.0425
if the cost of a notebook is 2x-3 express the cost of five books
Answer:
10x - 15
Step-by-step explanation:
5(2x-3) = 10x - 15
3.03 times 10^-3 in scientific nation
Answer:
3.03 • 10⁻³ is scientific notation
0.00303 is decimal form
Find four consecutive integers such that twice the 3rd number decreased by the second number
is 8
Answer:
5, 6, 7, 8
Step-by-step explanation:
Let x represent the 2nd number. Then x+1 represents the third number, and the given relation is ...
2(x+1) -x = 8
x +2 = 8
x = 6
So, the numbers are 5, 6, 7, 8.
_____
Check
2(7) -6 = 8 . . . . true
The question is prime factors of 72. answer:A.3 times 3 times 2 times 2 times 2. answer:B.3 times 3 times 2 times 2 answer:C.3 times 3 times 3 times 2 times 2 times 2. answer:D.7 times 2 times 2.
Answer:answer=A
Step-by-step explanation: 3×3×3×2×2=72
Answer:
YUP THEY RIGHT
Step-by-step explanation:
-\dfrac{1}{6} \times \left(-\dfrac{9}{7}\right)− 6 1 ×(− 7 9 )minus, start fraction, 1, divided by, 6, end fraction, times, left parenthesis, minus, start fraction, 9, divided by, 7, end fraction, right parenthesis
Answer:
[tex]\dfrac{3}{14}[/tex]
Step-by-step explanation:
The even number of minus signs means the product will be positive. A factor of 3 can be removed to simplify the product. As usual, the numerator of the product is the product of numerators, and the denominator of the product is the product of denominators.
[tex]-\dfrac{1}{6} \times \left(-\dfrac{9}{7}\right)=\dfrac{1\cdot 9}{6\cdot 7}=\dfrac{3\cdot 3}{3\cdot 14}=\boxed{\dfrac{3}{14}}[/tex]
Answer:
→ 3/4 ←
-1/6 × (-9/7)= 1·9/6·7 3·3/3·14 = 3/4
Describe fully the single transformation that takes shape A to shape B.
It is a ......
angle ...... degress clockwise
about the point.....
Answer: It is a Rotation Angle 90 Degrees clockwise about the point (3,4)
Step-by-step explanation:
Mark the point (3,4) with your finger and turn your phone once to the right Your old shape is where your new shape your be now. That’s rotation.
1/2x-(x-2/3a)+1/4a please help me im so confused!
arav spent 1 3/4 hours in studies and 2 1/2 hours in playing cricket. how much time did he spent at all ??
Answer:
[tex] \boxed{4 \frac{1}{4} \: \: hours}[/tex]Step-by-step explanation:
Time spent in studies = [tex]1 \frac{3}{4} [/tex]
Time spent in playing cricket = [tex]2 \frac{1}{2} [/tex]
Now, let's find the hours that he spent at all:
[tex] \mathsf {1 \frac{3}{4} + 2 \frac{1}{2} }[/tex]
Convert mixed fraction into improper fraction
[tex] \mathsf{ = \frac{7}{4} + \frac{5}{2} }[/tex]
Take the LCM
[tex] \mathsf{ = \frac{7 + 5 \times 2}{4} }[/tex]
Multiply the numbers
[tex] \mathsf{ = \frac{7 + 10}{4} }[/tex]
Add the numbers
[tex] \mathsf{ = \frac{17}{4} }[/tex]
Convert the improper fraction into mixed fraction
[tex] \mathsf{ = 4 \frac{1}{4} }[/tex] hours
Hope I helped!
Best regards!
whats the squareroot of 98
Answer: 7√2
Step-by-step explanation: To simplify a square root where the number inside the radical is not a perfect square like the square root of 98, we start by making a factor tree for the number inside.
98 factors as 2 · 49 and if you know your perfect squares,
you should be able to recognize 49 as 7 · 7.
What we are looking for in our factor tree
are pairs of factors that are the same.
If a factor pairs up, it will come out of the radical.
If a factor does not pair up, then it stays inside the radical.
So here, since our 7's pair up, a 7 will come out of the radical.
Since the 2 does not pair up, it stays inside the radical.
So our answer is 7√2.
