Answer:
The difference between the bonus is £2.6
Step-by-step explanation:
First, you have to calculate the amount that Tom get for his bonus. So you have to multiply 30% to £96 :
[tex] \frac{30}{100} \times 96 = 28.8[/tex]
Next, you have to subtract Tom's amount from Sally's amount because Sally has the higher amount of bonus than Tom :
[tex]31.4 - 28.8 = 2.6[/tex]
What is the value of x when in the equation 3x-4y=65
Answer:
21.66666667
Step-by-step explanation:
3x-4(0)=65
3x=65
x=21.66666667
You replace y wil 0 when you are sovling for x
Add.
5x^2- 5x+1
2x^2+9x-6
Answer: C. 7x^2+4x-5
Step-by-step explanation:
Add as you would normally. Exponents can look scary but don’t mind them. First add 5x^2 & 2x^2 to get 7x^2. Then do -5x + 9x. An easier way of doing that would be 9x-5x to get 4x. Lastly do 1 -6 to get 5.
Which equation can be solved using the expression StartFraction negative 3 plus-or-minus StartRoot (3) squared + 4 (10) (2) EndRoot Over 2 (10) EndFraction for x?
Answer:
A quadratic equation
Step-by-step explanation:
Given
[tex]\frac{-3 +- \sqrt{3^2 + 4(10)(2)}}{2(10)}[/tex]
Required
Which equation can be solved using the above expression
Using the above expression, the equation that can be solved is the roots of a quadratic equation
The general format of the roots of a quadratic equation is given as
[tex]x= \frac{-b +- \sqrt{b^2- 4ac}}{2a}[/tex]
When [tex]x= \frac{-b +- \sqrt{b^2- 4ac}}{2a}[/tex] is compared to [tex]\frac{-3 +- \sqrt{3^2 + 4(10)(2)}}{2(10)}[/tex], one would observe that they have the same format;
Solving [tex]\frac{-3 +- \sqrt{3^2 + 4(10)(2)}}{2(10)}[/tex] further to get the values of x
[tex]x = \frac{-3 +- \sqrt{3^2 + 4(10)(2)}}{2(10)}[/tex]
[tex]x = \frac{-3 +- \sqrt{9 + 4*10*2}}{2*10}[/tex]
[tex]x = \frac{-3 +- \sqrt{9 + 80}}{20}[/tex]
[tex]x = \frac{-3 +- \sqrt{89}}{20}[/tex]
So;
[tex]x = \frac{-3 + \sqrt{89}}{20} \ or \ x = \frac{-3 - \sqrt{89}}{20}[/tex]
Answer:
B) 2 = 3x + 10[tex]x^{2}[/tex]
Step-by-step explanation:
took the test
does y = 2x + 3 and y = 2x – 11. intercept
Answer:
yesssssssssssssssssssssssssssssss
Calculate log 10.5 , Given that log 2 = 0.30, log 3 = 0.48 and log 7 = 0.85
Answer:
Step-by-step explanation:
log 2.5=log 21/2=log (3*7)/2=log3+log7-log 2=0.48+0.85-0.3=1.03
PLEASE HELP ASAP How many solutions does this system have? (photo below)
Answer: I got b., no solutions
Step-by-step
3x-5y=15
6x-10y-30x
times the top by-10 and the bottom by 10
-30x+50=-150
60x-50=300
crossing out the 50's cause they cancel out. also, subtract the others -30-60 giving -90x. and -150-300= -140
-90x=-450
divide -450 by -90
x=5.
Put 5x in either equation. Either one you do. it cancels out the answer in the equation. then you would subtract and get zero. divide and still get zero.
Sounds really confusing but hope it helps. Please give me a brainliest. Thanks :)
Let a be a non-zero rational number and be an irrational number. Is a/b rational or irrational?
Answer: Irrational, assuming b is irrational
Step-by-step explanation:
You didnt state what "b" is, but:
Youre dividing "a" by an irrational number. you could do something simple like 4 divided by pi. Youre going to get an irrational number
Lorrie biked d miles in 2 hours. She traveled at an average speed of more than 8 miles per hour. To determine the distance she may have traveled, she uses the inequality 2d > 8. She then determines that she biked at most 4 miles. Analyze Lorrie’s inequality and solution.
Answer:
[tex]\fbox{\begin{minipage}{14em}Lorrie's inequality is incorrect\end{minipage}}[/tex]
[tex]\fbox{\begin{minipage}{16em}The solution is: d is greater than 16\end{minipage}}[/tex]
Step-by-step explanation:
Step 1: Define the problem
Given:
Lorrie biked [tex]d[/tex] miles in time [tex]t = 2[/tex] hours.
Lorrie traveled at speed [tex]s[/tex] which is greater than [tex]8[/tex] (mile/hour).
Task:
Lorrie wants to determine the distance she may have traveled.
Key point:
The relation among the distance biked [tex]d[/tex], time [tex]t[/tex], and the speed [tex]s[/tex] is represented:
[tex]d = s[/tex] x [tex]t[/tex]
Step 2: Substitute given data into the main relation
with: [tex]s > 8[/tex] and [tex]t = 2[/tex]
=> [tex]d = s[/tex] x [tex]t[/tex]
=> [tex]d[/tex] > [tex]8[/tex] x [tex]2[/tex]
Simplify:
[tex]d > 16[/tex]
Step 3: Verify Lorrie's inequality
Lorrie uses the inequality [tex]2d > 8[/tex] to conclude that she traveled a distance [tex]d[/tex] at most [tex]4[/tex] miles, or [tex]d < 4[/tex].
Considering the correct answer is at step 2, in which, [tex]d > 16[/tex].
=> Lorrie's conclusion is incorrect.
Hope this helps!
:)
Answer:
Lorrie should have used division in the inequality instead of multiplication. She would have determined that she biked more than 16 miles instead of at most 4 miles.
Step-by-step explanation:
took the test
An object launched vertically from a point that is 37.5 feet above ground level with an initial velocity of 48.6 feet per second can be represented by the equation h=−16t^2+48.6t+37.5, where h is the height of the object and t is the time after the object is launched. How long does it take the object to hit the ground?
Answer: 3.675 seconds
Step-by-step explanation:
Hi, when the object hits the ground, h=0:
h=−16t^2+48.6t+37.5
0=−16t^2+48.6t+37.5
We have to apply the quadratic formula:
For: ax2+ bx + c
x =[ -b ± √b²-4ac] /2a
Replacing with the values given:
a=-16 ; b=48.6; c=37.5
x =[ -(48.6) ± √(-48.6)²-4(-16)37.5] /2(-16)
x = [ -48.6 ± √ 4,761.96] /-32
x = [ -48.6 ± 69] /-32
Positive:
x = [ -48.6 + 69] /-32 = -0.6375
Negative:
x = [ -48.6 - 69] /-32 = 3.675 seconds (seconds can't be negative)
Feel free to ask for more if needed or if you did not understand something.
plz, help. plzzzzzzzzzzzzz
Answer:
[tex]Area = 26.75 \:units^2[/tex]
Step-by-step explanation:
[tex]Area =\:\frac{\left(3.5\right)\left(2+2+5\right)}{2}+\frac{\left(2\right)\left(2\right)}{2}+\left(2\cdot 2\right)+\frac{\left(2\right)\left(5\right)}{2}\\\\=26.75[/tex]
How can you tell if an expression is a perfect square trinomial? Explain.
Answer:
Step-by-step explanation:
A perfect square trinomial is the square of a binomial.
One of the special products and factors formulas that you should know is
(a + b)^2 = a^2 + 2ab + b^2; another is (a - b)^2 = a^2 - 2ab + b^2.
So, if you are given a trinomial and can use either of the above identities to rewrite it as the square of a binomial, you've got it.
as an estimation we are told 5 miles is 8km. Convert 84 km to miles
Answer:
52.195 miles
Step-by-step explanation:
84 km to miles is 52.195 miles
Directions: Find the value of x.
Answer:
x=14
Step-by-step explanation:
We know JNK+KNI must equal 180 because it is half of a circle.
31+9x+23=180
9x=126
x=14
Dave and his 4 friends want to share the cost of a meal equally. They order 3 large pizzas and 5 small drinks. If they leave a tip of $9.90 how much does each person pay?
Answer:
$10.68
Step-by-step explanation:
The question is incomplete as we were not given the cost of each pizza and each drink.
Dave and his 4 friends want to share the cost of a meal equally. They order 3 large pizzas and 5 small drinks. If they leave a tip of $9.90 how much does each person pay? If one large pizza cost $12 and small drink cost $1.5.
Solution:
one large pizza cost = $12
small drink cost = $1.5
3 large pizzas = 3×12 = 36
5 small drinks = 5×1.5 = 7.5
Tip = $9.90
Total cost = 36+7.5+9.9 = $53.4
Total number of people that want to share the cost = Dave and his 4 friends = 4+1 = 5
Each person pays = $53.4/5
Each person pays = $10.68
please need help :(
Answer:I think it's D.
Plz try your best do not quess
Answer:
4,000,000,000,000
Step-by-step explanation:
Make it look like this first:
[tex]\frac{6*10^8}{1.5*10^-4}[/tex]
You get:
[tex]4*10^{12}[/tex]
Which is 4,000,000,000,000
Linear or non linear
Answer:
linear
Step-by-step explanation:
Answer:
Linear
Step-by-step explanation:
It has mathematical proportion
Need help with this Pls!! Show work
Answer:
2200[tex]\pi[/tex] cm
Step-by-step explanation:
V= [tex]\pi[/tex]r²h
V= [tex]\pi[/tex](10)²22. Since it is filled 3 cm from the top, you can subtract 3 from the height
V= [tex]\pi[/tex](100)(22)
V= 2200[tex]\pi[/tex] cm
Find the circumference of the circle.
Use 3.14 for Pi
c=2pi r
13 cm
Give your answer to the nearest hundredth.
Answer:
81.64
Step-by-step explanation:
2(3.14)=6.28
6.28*13=81.64
Plug r into the equation provided...
c = 2(3.14)(13)
c = 81.64cm
What is the circumference and area of a circle in which the diameter of the circle is 16 feet
Answer:
The circumference is 50.27 and the area is 201.06 I rounded up to the nearest hundredths. And I used actually pi not just 3.14, here it is in the terms of using 3.14 circumference is 50.24 no rounding and area is 200.96 and no rounding, I hope this helps
Step-by-step explanation:
Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!!
Answer:
see below
Step-by-step explanation:
1. 0 = (r + 1)(r + 8)
Using Zero Product Property, r = -1, r = -8
2. h(r) = (r + 1)(r + 8)
= r² + 9r + 8
= (r + 9/2)² - 81/4 + 8
= (r + 4.5)² - 12.25 (Complete the square)
Vertex: (-4.5, -12.25)
find the gradient of the line through (0, 2) and (3,14)
Answer:
gradient = 4
Step-by-step explanation:
Calculate the gradient using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 14)
m = [tex]\frac{14-2}{3-0}[/tex] = [tex]\frac{12}{3}[/tex] = 4
Triangle XYZ is translated by the rule [x+1, y-1] Ian been dilated by scale factor of 4 centered at the origin. Which statement describes the properties triangles XYZ and X’’Y’’Z” after the transformations?
Answer:
D) Segment YZ and segment Y"Z" are proportional after the dilation and congruent after the translation.
Step-by-step explanation:
After a dilation, a figure remains proportional because its angles and betweenness of points remain the same. After a translation, the image stays congruent to the pre-image.
what are solutions for |x+4|=3x-5
Answer:
Step-by-step explanation:
Esmeralda has decided that every month, for as long as she can
afford it, she's going to donate $250 to a charity that helps fund
research on treatments for cancer. Esmeralda sticks to her word and
continues donating for 2 years. Determine how many more months she
can afford to donate if the starting balance of the account is $8,000.
Answer:
8 months more
Step-by-step explanation:
first calculated how many months total she can donate: 8000/250 = 32 months
2 years has 24 months
subtract 32 with 24 which is 8 and that is how many months left that she can donate
What is the quotient of x^2-9x+14/x-7?
A. x+2 B. x-7 C. x-2/x-7 D. x-2
Answer:
(x - 7)(x - 2)
----------------- = x - 2 for x ≠ 7
x - 7
Step-by-step explanation:
Please use parentheses to show clearly that you are dividing by (x - 7):
x^2 - 9x - 14
------------------- or (x^2 - 9x - 14) ÷ (x - 7)
x - 7
x^2 - 9x + 14 factors into (x - 7)(x + 2). After rewriting x^2 - 9x + 14 in factored form, the task of division becomes simpler:
(x - 7)(x - 2)
----------------- = x - 2 for x ≠ 7
x - 7
Please Help ASAP!
What values are in the domain of the function f(x)= 4-2x, if the range is {0,4,8}
Replace the range for f(x)
So...
0=4-2x
x=2
4=4-2x
x=0
8=4-2x
x=-2
Solve!
These are your domains!
Solve the system using elimination. 3x + 3y = –9 3x – 3y = 21
Answer:
y=-5,x=2
Step-by-step explanation:
3x+3y=-9________________eqn 1
3x-3y=21________________eqn 2
using elimination method
3x+3y=-9
-
3x-3y=21
subtract equation 2 from equation 1
0+6y=-30
6y=-30
y=-30/6
y=-5
substitute the value of y in equation 1
3x+3y=-9
3x+3(-5)=-9
3x-15=-9
3x=-9+15
3x=6
x=6/3
x=2
Members of a rugby league are thinking about adding a new franchise in Silvergrove. They hired a polling firm to help gauge Silvergrove residents' interest in rugby. The firm contacted 475 randomly chosen Silvergrove residents and asked them whether they had ever attended a rugby match. Of 434 respondents had never attended a rugby match, estimate (including a margin of error) the proportion of the population of Silvergrove that never attended a rugby match.
The margin of error is 1/√n, where n is the number of people
Margin of error = 1/√475 = 0.0458
Multiply by 100 to get percent:
0.0458 x 100 = 4.58% round to 4.6%
The answer is c.
Find the largest value of x that satisfies the equation |5x − 1| = x + 3.
Answer:
1
Step-by-step explanation:
Since you are going for the largest value of x that satisfies the equation, you don't need to worry about negative numbers, and therefore don't need to worry about the absolute value.
5x-1=x+3
5x=x+4
4x=4
x=1
Hope this helps!