Answer:
y=2x+10
Step-by-step explanation:
1hr-12 dollars
2hrs-14 dollars
4hrs-18 dollars
and henceforth adding two
Emma is playing miniature golf. Her ball is 2 feet of the right-wall. The hole is 4 feet to the left of the wall. The distance along the wall between her ballet and the hole is 18 feet. There is an obstacle between between her ball and the hole, so Emma must hit her ball off the right-hand wall to reflect it towards the hole. How far down the wall should she aim?
Answer:
She should aim 6 feet down the wall
Explanation:
The diagram attached sketches the situtation.
Since the angle with which the ball hits the wall is the same with which it bounces, angle β is the same for the two shown triangles.
Then, since both are right triangles, then all the angles are congruent and the triangles are similar. Hence, you can equal the ratios of the sides, to make an equation:
x/4 = y/2 ⇒ x = 2y
You have other equation:
x+ y = 18
Substitute
2y + y = 18
3y = 18
y = 18/3
y = 6 ← this is the distance down the wall where the ball should hit
x = 2(6) = 12
Then, she should aim 6 feet down the wall.
is y = –x + 5 linear or nonlinear
Answer: it is linear
Step-by-step explanation: A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1 and the degree of variable x is 1
Sarah flips a coin and spins a 4 section spinner. Which table shows the sample space?
Answer:
The first bullet
Step-by-step explanation:
it has heads with the colors & also the same for tails
find the slope of the line
plzzz will give brainliest
Answer:
-2/3
Step-by-step explanation:
Find two points and count the x and y axises between them.
(hope this helps!)
suppose a number cube labeled from 1 to 6 is rolled and the spinner below is spun one time. what is the probability of rolling a number less than 4 and spinning a consonant?
Answer:
3/10
Step-by-step explanation:
.
1) Work out the value of x.
2) Give reasons for your answer.
Please!
Answer:
x = 60
Step-by-step explanation:
Since the 3 sides of the triangle are congruent, then the triangle is equilateral with interior angles congruent and equal to 60°
x and the angle on the right of the triangle are alternate and congruent, so
x = 60
Harold wants to borrow $1,400 for 5 years. The interest rate is 9%. How much interest will he pay over the course of the loan?
Answer: He will pay $630 over the course of the loan.
Step-by-step explanation:
Formula for simple interest :
S.I. = PRT, where P=principal amount , R =rate of interest ( in decimal), T=time (in years)
As per given ,
P = $1,400 , t = 5 years , r = 9% = 0.09
Simple interest = (1400) x (0.09) x (5)
⇒ Simple interest = $ 630
Hence, he will pay $630 over the course of the loan.
please help!! thanks
Answer:
We conclude that the gradient of the line is: 2/3
Step-by-step explanation:
It is clear that the given graph represents a line or linear function.
From the graph, taking two points
(3, 0)(0, -2)Finding the gradient or slope of the line
Using the formula
Gradient = m = [y₂ - y₁] / [x₂ - x₁]
= [-2 - 0] / [0 - 3]
= -2 / -3
= 2/3
Thus, the slope of the line = m = 2/3
Therefore, we conclude that the gradient of the line is: 2/3
please help me please will give brainliest to anyone who is good
show your work
Answer:
A
Step-by-step explanation:
[tex]\frac{2 \frac{1}{2} }{\frac{2}{5} } = \frac{2\frac{1}{2} }{2} times 5[/tex]
1 1/4 × 5 = 6 1/4
The total surface area of this cuboid is 112cm^2. Find the value of x.
Please help, I’m really struggling.
Answer:
12544/20=627.2
Step-by-step explanation:
I might be wrong Sorry If I am
Answer:
3
Step-by-step explanation:
You start at (-1, 2). You move right 5 units and down 6 units. Where do you end?
Answer:
(4,-4)
Step-by-step explanation:
Just plot it or like I did it like this
Since moving right or left is X axis, just add 5 to -1 becuase its ont he X axis
Then for the bottom and up, thats Y so subtract that to the Y axis so 2-6=-4
4,-4
Look at the picture!
Please I need help!
help i need to know this quickly please
Answer:
i dont know
Step-by-step explanation:
sorry but pleasr still work hard!
HI PLEASE HELP : if a man walks the rate of 2 feet per second , how many minuets will it take him walk 4320 feet.
please help! :)
Answer:
32.25 minutes
Step-by-step explanation:
2 feet: 1 second
4230 feet: 2115 seconds
2115 as a minute is 32.25 minutes
please mark me as brainliest!!!<3
PLS HELP!! There are 8 lifesavers in a roll and 3 of them are red. What is the probability of opening the roll and the 1st lifesaver is red? Write as a percent. (Only one end of the roll can be opened)
Answer:
37.5 percent (3/8)
Step-by-step explanation:
PLEASE PLEASE PLEASE Solve the literal equation a+4b=5b-3a for a.
Answer:
a=b/4
Step-by-step explanation:
subtract 4b from both sides to end up with a=b-3a and then add 3a to both sides to get 4a=b, and divide both sides by 4 to get a=b/4.
Answer:
a + 4b + 5b - 3a can only be solved by a little.
Step-by-step explanation:
a + 3a =3a.
4b + 5b = 9b.
we can't solve 9b - 3a, since they have different functions, so 9b - 3a is the answer.
Graph the line with the equation y = 3x - 3.
Pleaseeee
Answer:
Graph the line using the slope and y-intercept, or 2 points.
Slope: 3
y-intercept: (0,-3)
Need help ASAP pls. Need it asap
Answer:
sin x = 39/89 cos x = 80/89 tan x = 89/80
Step-by-step explanation:
SOA CAH TOA
sin = opp/adj
cos = adj/hyp
tan = opp/adj
A baseball team played 160 regular season games. The ratio of the number of games they won to the number of games they lost was three fifths. How many games did they win
what is the value of w
Answer:
ABCDEFGHIJKLMNOPQRSTUV*W*
Step-by-step explanation:
*W*ala kang jowa
Please help me I I will give you a Brainly
Step-by-step explanation:
by deleting
9y = -9
y = -1
6x - 4 = -10
6x = -6 then x = -1
PLSSSSSSS HELP 9th Grade Math
Answer:
Here's 9th grade answer from one high-schooler to another
Step-by-step explanation:
The answers 9 i believe since you have to isolate the variables and subtract them
Lenny works at Lexus selling cars. His salary is $40,000 a year plus commission. He gets 1.25% commission on the cars he sells. Lexus cars are expensive and cost $50,000 each on average. After a year, Lenny sells $2,500,000 worth of cars. What is Lenny's total income after a year?
Answer:
$71, 250
Step-by-step explanation:
Given that:
Fixed salary of Lenny = $40,000
Commission on the cars sold by Lenny = 1.25%
Cost of each Lexus car = $50,000
Total worth of which cars are sold by Lenny = $2,500,000
To find:
Lenny's total income after a year?
Solution:
Lenny's salary consists of two parts i.e. Fixed salary and the variable part as per the commission depending upon the sales done by Lenny.
Fixed salary = $40,000
Commission earned = 1.25% of $2,500,000
[tex]\Rightarrow \dfrac{1.25}{100}\times 2500000\\\Rightarrow \$31,250[/tex]
Therefore, Lenny's total salary after a year = $40,000 + $31,250 = $71, 250
Please answer. I NEED I WILL MARK BRAINLY
Answer:
Step-by-step explanation:
Just multiply what the equation equalds by the divosor
Answer:
1. 2587.3
2. 25873
3.25873000
4. 258730000
Step-by-step explanation:
Jorge is asked to build a box in the shape of a rectangular prism. The maximum girth of the box is 20 cm. What is the width of the box that would yield the maximum volume? What is the maximum volume given a girth of 20 cm? Use a graphing calculator to determine the width that provides the maximum volume, round to the nearest tenth.
The width of the box is __________cm
The maximum volume is __________cm3
Answer:
The width of the box is 6.7 cm
The maximum volume is 148.1 cm³
Step-by-step explanation:
The given parameters of the box Jorge is asked to build are;
The maximum girth of the box = 20 cm
The nature of the sides of the box = 2 square sides and 4 rectangular sides
The side length of square side of the box = w
The length of the rectangular side of the box = l
Therefore, we have;
The girth = 2·w + 2·l = 20 cm
∴ w + l = 20/2 = 10
w + l = 10
l = 10 - w
The volume of the box, V = Area of square side × Length of rectangular side
∴ V = w × w × l = w × w × (10 - w)
V = 10·w² - w³
At the maximum volume, we have;
dV/dw = d(10·w² - w³)/dw = 0
∴ d(10·w² - w³)/dw = 2×10·w - 3·w² = 0
2×10·w - 3·w² = 20·w - 3·w² = 0
20·w - 3·w² = 0 at the maximum volume
w·(20 - 3·w) = 0
∴ w = 0 or w = 20/3 = 6.[tex]\overline 6[/tex]
Given that 6.[tex]\overline 6[/tex] > 0, we have;
At the maximum volume, the width of the block, w = 6.[tex]\overline 6[/tex] cm ≈ 6.7 cm
The maximum volume, [tex]V_{max}[/tex], is therefore given when w = 6.[tex]\overline 6[/tex] cm = 20/3 cm as follows;
V = 10·w² - w³
[tex]V_{max}[/tex] = 10·(20/3)² - (20/3)³ = 4000/27 = 148.[tex]\overline {148}[/tex]
The maximum volume, [tex]V_{max}[/tex] = 148.[tex]\overline {148}[/tex] cm³ ≈ 148.1 cm³
Using a graphing calculator, also, we have by finding the extremum of the function V = 10·w² - w³, the coordinate of the maximum point is (20/3, 4000/27)
The width of the box is;
6.7 cm
The maximum volume is;
148.1 cm³
find a quadratic polynomial the sum and product of whose zeroes are -3 and 2 respectively
Answer:
x²+3x+2
Step-by-step explanation:
According to Vieta's formula x²-(sum of roots)x((product of roots)=0
Therefore x²-(-3)x+2=0
=x²+3x+2
What Is an exponent?
Answer:
a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression (e.g. 3 in 23 = 2 × 2 × 2).
Step-by-step explanation:
find the area and perimeter of the shape below
Step-by-step explanation:
what is that X, and X²???
PLEASE HELP I WILL MARK BRAINLIEST IF CORRECT
solve by factorising x² + 11x + 30 = 0
dont get think one could someone explain this please.
Answer:
x={-5,-6}
Step-by-step explanation:
x²+11x+30=0
x²+5x+6x+30=0 (as 5*6=30 and 5+6=11)
x(x+5)+6(x+5)=0
(x+5)(x+6)=0
so
x+5=0
x+6=0
therefore
x=-5
x=-6
Answer:
x = - 6, x = - 5
Step-by-step explanation:
Given
x² + 11x + 30 = 0
Consider the factors of the constant term (+ 30) which sum to give the coefficient of the x- term (+ 11)
The factors are + 6 and + 5 , since
6 × 5 = 30 and 6 + 5 = 11, then
x² + 11x + 30 = 0
(x + 6)(x + 5) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x + 5 = 0 ⇒ x = - 5