Let the cost of 7 pencils be 'x' & the cost of 10 pencils be (7x + 15)/10
According to the Question,
⇒(7x + 15)/10 = x
⇒7x + 15 = x × 10
⇒7x + 15 = 10x
⇒7x - 10x = 15
⇒3x = 15
⇒x = 15/3
⇒x = 5
∴ The cost of a pencil is ₹5Explain why a set of points that defines a plane cannot be collinear
Answer:
Three non-collinear points determine a plane.
Step-by-step explanation:
This statement means that if you have three points not on one line, then only one specific plane can go through those points. The plane is determined by the three points because the points show you exactly where the plane is
WILL GIVE BRAINLEST
Slove f(9) if f(x)= -6x - 1
Show Step-by-Step pls.
Answer:
Use the given functions to set up and simplify −by−Step.
f(9)=−55
Re-order terms so constants are on the left
⋅9=−55
f⋅9=−55
9=−55
Divide both sides of the equation by the same term
Simplify
Solution
=−55/9
Hello Brainly User please help me I will mark brainliest. Its really east math please help me
PLEASE HELP MARKING BRAINLIEST
In exercises 1-2, solve the formula for the indicated variable.
1: Surface area of a cylinder: S=2πr^2+2πrh: Solve for h.
2: Area of a trapezoid: A=1/2h(b1 + b2); Solve for b2.
The 1 and 2 are supposed to be under to the side of b like this.
Answer:
area of a trapezoid A =1Step-by-step explanation:
2
If two functions are inverses of each other, which 2 statements are true?
A The graph of an inverse of a function is a reflection of the function across the line y=x. B f(g(x)) = x and g(f(x)) = x
C The graph of an inverse of a function is a reflection of the function across the line y=0. D f(g(x)) =1 and g(f(x)) = 1
Answer:
A and B
Step-by-step explanation:
To be inverses, the inverse composite functions must equal x, since the input and output must be equal as how much you used as your input, which is x. B proves that. Also, the graph must reflect over y = x, which is the line that runs through the origin
(01.01 LC)An athlete took forward and backward steps of equal distance to warm up before his race. After taking 10 steps total, he was back at his starting position. How many steps did the athlete take in the forward and backward directions?
I would love the help.
9514 1404 393
Answer:
5 steps forward5 steps backwardStep-by-step explanation:
In order for the total displacement to be zero, the amount of forward displacement must be equal and opposite to the amount of backward displacement. Since the steps are the same length, they must be equal in number.
Half of the 10 steps were forward, and the other half were backward.
5 steps forward; 5 steps backward.
_____
Additional comment
Math develops from an effort to model the real world. It would probably give you some insight into this problem if you were to physically take some steps to see how many forward and backward you would need to end where you start.
Help will give Brainly points
Answer:
¿Qué significa esto porque no entiendo?
Step-by-step explanation:
There are 6 times as many dogs as cats . If the total number of dogs and cats is 21 , how many dogs are there?
Answer:
126 cats .................
126 dogs........
Express 350 as a product of its product factors
Answer:
70
Step-by-step explanation:
The prime factors of 350 are 2,5,7. Therefore, the product of prime factors = 2×5×7=70
Loretta earns $10 a week
and puts $7.50 a week
into savings account and spends
the rest. How much does she
spend in six weeks?
72. Evaluate 5a + 3a2 when a = - 3
[tex]5a + 3 {a}^{2} \\ = 5( - 3) + 3( { - 3}^{2} ) \\ = - 15 + 3(9) \\ = - 15 + 27 \\ = 12[/tex]
I hope I helped you^_^
Answer:
12
Step-by-step explanation:
5a + 3a^2 when a = -3
~Substitute
5(-3) + 3(-3)^2
~Simplify
-15 + 3(9)
-15 + 27
12
Best of Luck!
c(ge + p) = n +j
Solve for c: C=
Answer:
[tex]c(ge + p) = n + j \\ \\ \frac{c(ge + p)}{(ge + p)} = \frac{n + j}{(ge + p)} \\ \\ { \boxed{ \boxed{c = \frac{n + j}{ge + p} }}}[/tex]
Two produce stores sell watermelons by the pound.
At Jack's store, he uses the equation y = 0.39x to calculate the cost of a watermelon that
weighs x pounds
At Molly's store, she charges $4.20 for a 12-pound watermelon and $5.25 for a 15-pound
watermelon.
If a watermelon weighs 20 pounds, at which store will the watermelon cost less, and by how
much?
.
A. Jack's store is less expensive by $0.80.
B. Jack's store is less expensive by $0.04.
C. Molly's store is less expensive by $0.80.
D. Molly's store is less expensive by $0.04.
Step-by-step explanation:
have a nice day sir...................
5 + (-8) - (-10)
please help
Answer:
-7
Step-by-step explanation:
5 + (-8) - (-10)
5 - 8 + 10
-3 + 10
7
Answer:
7
Step-by-step explanation:
TUrns into 5-8-(-10)
5-8+10
PEMDAS the answer and youll get 7
A nut-raisin mix costs $5.26 per pound. Rashid buys 15.5 pounds of the mix for a party. Rashid’s estimated cost of the nut-raisin mix is
$81.53 is the cost of nut-raisin mix
Solve for the value of R
Answer:
13
Step-by-step explanation:
Since the angles form 180 degrees, it will be what the equation is equal to.
Make the equation:
8r + 5 + 5r + 6 = 180
Combine like terms:
8r + 5 + 5r + 6 = 180
13r + 5 + 6 = 180
13r + 11 = 180
Solve:
13r + 11 = 180
-11 -11
---------------------
13r = 169
------ ------
13 13
r = 13
Hope this helped.
What is the least common denominator for the fractions 1/2 and 3/8
Answer:
LCD = 8
Step-by-step explanation:
All you have to do is times both the denominator and numerator of 1/2 by 4.
So 1 times 4 = 4 and 2 times 4 is 8.
4/8 and 3/8
Write the given phrase as an algebraic expression. Use the variable x to represent each unknown number.
A number divided by eleven.
The answer is
(Answer quickly)
Answer:
x/11
Step-by-step explanation:
The prompt states to use x for each unknown number and then the question says A number divided by eleven so x divided by 11 = x/11
Fitness 19 charges a $44 sign up fee and $30 per month. LA fitness charges a $99 sign up and $25 per month. For what number of months is the cost the same?
Answer:
11 months
Step-by-step explanation:
Let x = months
y = total cost
Since Fitness 19 charges $30 a month, we multiply x by 30 like this: 30x
$44 is already added on the cost, so the Fitness 19 equation will look like this:
y = 30x + 44
Since LA Fitness charges $25 a month, multiply x by 25 like this: 25x
$99 is already added to the cost, so the LA Fitness equation will look like this:
y = 25x + 99
We need to find the point where they are both the same
30x + 44 = 25x + 99
First, move like terms to one side by subtracting 25x from both sides
30x + 44 = 25x + 99
- 25x - 25x
5x + 44 = 99
Then, subtract 44 from both sides
5x + 44 = 99
- 44 - 44
5x = 55
Finally, isolate the variable, x, by dividing both sides by the coefficient, 5
5x/5 = 55/5
x = 11
Two angles are complementary. One angle measures 32 degrees more than the other angle. Find the measure of the LARGER angle
[tex]\begin{array}{l}\text{We\ have\ } \alpha +\beta =90\ \text{and} \ \beta =\alpha +32\text{\ then}\\\\\alpha +\alpha +32=90\\\\\Longrightarrow 2\alpha =90-32\\\\\Longrightarrow \alpha =\frac{58}{2} =29\\\\\therefore \beta =29+32=61\\\\\therefore \boxed{\text{The\ larger\ angle\ is\ 61\ degrees}}\end{array}[/tex]
Given: SQ and TQ trident angle PQR
measure of angle PQT = 7x+6
measure of angle TQS = -2x +8y-13
measure of angle RQS = 5x +2y
find measure of angle PQR
Answer:
[tex]10x+10y-7[/tex]
Step-by-step explanation:
We just need to add up all of the angles, PQT, TQS, and RQS to find the measure of angle PQR.
[tex]PQT=7x+6\\TQS=-2x+8y-13\\RQS=5x+2y\\PQT+TQS+RQS=PQR\\7x+6+TQS+RQS=PQR\\7x+6+(-2x+8y-13)+RQS=PQR\\7x+6+(-2x+8y-13)+5x+2y=PQR\\7x+6-2x+8y-13+5x+2y=PQR\\7x-2x+5x+8y+2y+6-13=PQR\\5x+5x+8y+2y+6-13=PQR\\10x+8y+2y+6-13=PQR\\10x+10y+6-13=PQR\\10x+10y-7=PQR[/tex]
9514 1404 393
Answer:
123°
Step-by-step explanation:
Each of the parts of the trisected angle is equal to the others.
∠PQT = ∠TQS
7x +6 = -2x +8y -13
9x -8y +19 = 0 . . . . . . subtract the right-side expression
∠TQS = ∠RQS
-2x +8y -13 = 5x +2y
7x -6y +13 = 0 . . . . . . subtract the left-side expression
__
These equations can be solved by any of your favorite methods to give ...
(x, y) = (5, 8)
Then the angle measures are ...
∠PQT = 7x +6 = 7(5) +6 = 41
∠TQS = -2x +8y -13 = -2(5) +8(8) -13 = 64 -23 = 41
∠RQS = 5x +2y = 5(5) +2(8) = 41
The measure of angle PQR is 3·41° = 123°.
_____
Additional comment
Using Cramer's rule, the solution is ...
x = (-8(13) -(-6)(19))/(9(-6) -7(-8)) = 10/2 = 5
y = (19(7) -13(9))/2 = 16/2 = 8
I prefer a method like this, or the graphical solution, when the numbers don't lend themselves to substitution or elimination.
__
Obviously, once we have found angle PQT, we can simply multiply it by 3 to find angle PQR. We chose to compute the values of the other angles as a check on our math.
-.0666
Rational or
Irrational?
WHY
Answer:
It's irrational
Step-by-step explanation:
An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point.
Answer:
Rational
Step-by-step explanation:
Irrational numbers go on FOREVER.
An example is
1. π
2.[tex]\sqrt{2}[/tex]
....
Surds are irrational. A surd is a square root of a number that goes on forever.
Some irrational numbers have recurring digits (repeating digits)
10/3 is an example:
3. 333333333333333333333333333333333333333333............
if (a^-1+b^-1)(a+b)^-1=a^mb^n.prove that a^(m-n)=1.
Answer:
46666
Step-by-step explanation:
The ratio of qualified teachers to unqualified teachers is 1;2. Use the given ratio and determine how many qualified teachers there are if there are 540 unqualified teachers. show your calculations
Answer:
270
Step-by-step explanation:
by using the proportion rule:
let X be the number of qualified teachers then
1:2=X=540 i.e.
1/2 = X/540
by cross multiplication,
540x1=2xX
540=2X i.e.
X=540/2
X=270
There are 270 qualified teachers.
To solve this, we would apply the knowledge of proportion.
It is simply a way of stating that two ratios are of equal measure.
For example, [tex]a:b = x:y[/tex] or [tex]\frac{a}{b} = \frac{x}{y}[/tex]
Applying the following proportion rule given that:
Ratio of qualified teachers to unqualified teachers is 1:2.
Number of unqualified teachers = 540
Let number of qualified teachers be represented by x.
Therefore:
[tex]\frac{1}{2} = \frac{x}{540}[/tex]
Cross multiply
[tex]2x = 540(1)[/tex]
Divide both sides by 2
[tex]\frac{2x}{2} = \frac{540}{2} \\x = 270[/tex]
Therefore, the number of qualified teachers is 270.
Learn more about ratio here:
https://brainly.com/question/21768124
Quintina decided to increase the deduction percentage of her federal income tax rate from 14% to 16%. Quintina’s gross pay per month is $2,100. Her deductions before the change are listed in the table.
Deduction
Dollar Amount
Federal Income Tax
$294
State Income Tax
$89
Social Security
$85
Medicare
$35
What is her new monthly net pay? Round your answer to the nearest dollar.
$1555
$1591
$1595
$1639
Mark this and return
Answer:
The monthly net pay is [tex]\$1555[/tex].
Step-by-step explanation:
Step 1 :
Quintina decided to increase the deduction percentage of her federal income tax rate from [tex]14\%[/tex] to [tex]16\%.[/tex]
Quintina gross pay per month is [tex]\$2,100[/tex]
[tex]16\%[/tex] is written in the decimal form.
[tex]=\frac{16}{100}[/tex]
[tex]=0.16[/tex]
Federal income tax
[tex]=0.16[/tex] × Gross pay
[tex]=0.156[/tex] × [tex]2100[/tex]
[tex]=336[/tex]
Step 2:
Monthly net pay = Gross pay- Federal income tax - State Income Tax – social Security- Medicare.
[tex]=2100-336-89-85-35[/tex]
[tex]=2100-545[/tex]
[tex]=\$1555[/tex]
Therefore, the monthly net pay is [tex]\$1555.[/tex]
Learn more about income tax, refer:
https://brainly.com/question/1601662Answer$1555
Step-by-step explanation:
Find the area of this figure. round your answer to the nearest hundredth.
Answer:
49.12 ft^2
Step-by-step explanation:
The triangle:
Area = 1/2 * base * height
= 1/2 * 6 * 8
= 24
The semicircle:
Area = 1/2 * 3.14 * 4^2
= 25 .12
Total area = 24 + 25.12
= 49.12 fT^2
PLS Help I Need this by today :)
Simplify the expression -11 -(-12)
Answer:
1
Step-by-step explanation:
-11-(-12) is just -11 plus 12 so 1 is your final answer because 2 negatives make a positive when multiplying.
Answer:
1
Step-by-step explanation:
Jae is a real estate photographer. The amount he earns in one week is a linear function of the number of houses he photographs.
If he photographs 2 houses, he earns $315, and if he photographs 7 houses, he earns $1015.
a. Create a linear model for Jae's earnings (y) (in dollars) as a function of the the number of houses he photographs (x), and put
the model in slope-intercept form.
Equation of a linear function is defined by equation y = mx + b,
where m = slope of the line and b = y-intercept
Linear model representing a function for the earning (y) to photograph the houses (x) will be,
y = 140x + 35
Let the linear equation representing the earnings to photograph the houses,
y = mx + b
If we graph a line with two variables, earnings from photography on y-axis and the number of houses at x-axis,
Slope of the line 'm' = [tex]\frac{\triangle y}{\triangle x}[/tex]
If two points lying on the line are (2, 315) and (7, 1015).
Slope of the line 'm' = [tex]\frac{1015-315}{7-2}[/tex]
= [tex]\frac{700}{5}[/tex]
= 140
Therefore, equation of the line will be,
y = 140x + b
Since, (2, 315) lies on the line,
315 = 140(2) + b
315 = 280 + b
b = 35
Now the equation will be,
y = 140x + 35
Therefore, linear model representing a function of the earning (y) to photograph the houses (x) will be,
y = 140x + 35
Learn more,
https://brainly.com/question/1179072
Please help me with this problem
Answer:
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919293939
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