Answer:
£50 ; £7.50
Step-by-step explanation:
Given that:
Discount on sale, d = 15%
Amount paid = £42.50
Hence the relation to obtain the amount paid goes thus ;
Amount paid = (1 - d) * original amount
Let original amount = x
42.50 = (1 - 0.15)x
42.50 = 0.85x
x = 42.50 / 0.85
x = £50
Amount saved :
£(50 - 42.50) = £7.50
PLEASE HELPPPP
Find the equation of the line
Answer:
Y = 3/4x - 2
Step-by-step explanation:
Slope = 3/4
Y intercept = - 2
At the beginning of spring, Elijah planted a small sunflower in his backyard. When it was first planted, the sunflower was 25 inches tall. The sunflower then began to grow at a rate of 1 inch per week. How tall would the sunflower be after 7 weeks? How tall would the sunflower be after w weeks?
Answer:32
Step-by-step explanation:25+ 1(7)
Eliana treated her sister to lunch while visiting her in Seaside. Their lunch cost $100, and the
sales tax in Seaside is 8%. If Eliana left a 20% tip on the $100, how much in total did she
pay?
Answer:
multiply the numbers
128
Step-by-step explanation:
Answer:
128 is the answer
Step-by-step explanation:
your welcome!
Find the height of a flagpole to the nearest tenth if the angle of elevation of tbe sun is 28 degrees & the shadow of the flagpole is 50 feet
Answer:
Step-by-step explanation:
tan28=h/50
h=50tan28
h=26.6ft
The half-life of a radioactive kind of barium is 3 minutes. How much will be left after 6
minutes, if you start with 80 grams of it?
Answer:
20 Grams will be left after 6 minutes.
Step-by-step explanation:
What is an equation of the line that passes through the point (3,-1)(3,−1) and is parallel to the line 5x+3y=65x+3y=6?
Answer:
6yx hope this helped dude!
Step-by-step explanation:
Answer:
6yx
Step-by-step explanation:
Which equation is correct?
75 × 4 = 70 + 5 × 4
75 × 4 = 70 × 4 + 5 × 4
75 × 4 = 700 × 4 + 5 × 4
75 × 4 = 70 × 4 + 5
A small rectangular tray measures 16 cm by 18 cm. How long is the diagonal?
Answer:
24.1cm
Step-by-step explanation:
Help please! What is 438 x 934? I'm timed (gc for the school peeps sending this to them)
Answer:
438 x 934=409092
Step-by-step explanation:
I hope this helps.
A colony of 500 bacteria doubles in size every 200 hours. What will the population be 400 hours from now?
Answer:
1000
Step-by-step explanation
200+200=400
so
500+500=1000
lin run 5 laps around a track in 10 minutes. How many minutes per lap is that
Answer:
2min per lap
Step-by-step explanation:
What was the shortest measurement?
Length of insects (in inches)
Answer:
[tex]1\frac{1}{2}[/tex] inches
Step-by-step explanation:
The shortest measurement is the smallest number with a x over it. In this case, the smallest one is [tex]1\frac{1}{2}[/tex] inches.
13x² -7x -8 how to solve this
Answer:
132x-8
Step-by-step explanation:
I think I might be wrong, but hopefully this is helpful, and yet I still find this confusing.
It's a simplification I don't know if you needed that.
The figure shows two parallel lines cut by a transversal. Which angle pairs are alternate exterior angles? Choose all that apply. Please help PT.3
A. Angle A and Angle G
B. Angle B and Angle H
C. Angle B and Angle F
D. Angle B and Angle G
E. Angle H and Angle A
F. Angle E and Angle D
Answer:
D and E
Step-by-step explanation:
Answer: d and e!
Step-by-step explanation:
:)
Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. Illustrate by graphing both the curve and the tangent line on a common screen. x=t, y=e^-t, z=2t-t^2; (0, 1, 0)
Answer:
[tex]x = t[/tex]
[tex]y = 1 - t[/tex]
[tex]z = 2t[/tex]
Step-by-step explanation:
Given
[tex]x=t[/tex]
[tex]y=e^{-t}[/tex]
[tex]z=2t-t^2[/tex]
(0, 1, 0)
The vector equation is given as:
[tex]r(t) = (x,y,z)[/tex]
Substitute values for x, y and z
[tex]r(t) = (t,\ e^{-t},\ 2t - t^2)[/tex]
Differentiate:
[tex]r'(t) = (1,\ -e^{-t},\ 2 - 2t)[/tex]
The parametric value that corresponds to (0, 1, 0) is:
[tex]t = 0[/tex]
Substitute 0 for t in r'(t)
[tex]r'(t) = (1,\ -e^{-t},\ 2 - 2t)[/tex]
[tex]r'(0) = (1,\ -e^{-0},\ 2 - 2*0)[/tex]
[tex]r'(0) = (1,\ -1,\ 2 - 0)[/tex]
[tex]r'(0) = (1,\ -1,\ 2)[/tex]
The tangent line passes through (0, 1, 0) and the tangent line is parallel to r'(0)
It should be noted that:
The equation of a line through position vector a and parallel to vector v is given as:
[tex]r(t) = a + tv[/tex]
Such that:
[tex]a = (0,1,0)[/tex] and [tex]v = r'(0) = (1,-1,2)[/tex]
The equation becomes:
[tex]r(t) = (0,1,0) + t(1,-1,2)[/tex]
[tex]r(t) = (0,1,0) + (t,-t,2t)[/tex]
[tex]r(t) = (0+t,1-t,0+2t)[/tex]
[tex]r(t) = (t,1-t,2t)[/tex]
By comparison:
[tex]r(t) = (x,y,z)[/tex] and [tex]r(t) = (t,1-t,2t)[/tex]
The parametric equations for the tangent line are:
[tex]x = t[/tex]
[tex]y = 1 - t[/tex]
[tex]z = 2t[/tex]
PLEASE HELP! The AHS football team did a weigh-in at the start of training camp and the weights of the players were distributed normally. There were 60 players
at the start of camp. How many players are within one standard deviation of the mean?
Which pairs are like terms in the expression below? Select all that apply.
25y + 15x – 0.2y – 6 + (–2)
A. 25y and 15x
B. 25y and –0.2y
C. 15x and –0.2y
D. –0.2y and 2
E. –6 and –2
Answer:
B. and E.
Step-by-step explanation:
hope it helps ;)
А
B
Scarlett walks along the edges of a
rectangular path from A to B to C to D, a
distance of 38 metres. Jake walks along the
same rectangle, but from B to C to D to A,
a distance of only 31 metres.
What is the area, in square metres, of rectangle ABCD?
D
С
Answer:
168 meters squared
Step-by-step explanation:
So we know that Jake walked from b to c and d meaning he didn't go from a to b, but we also know that scarlet walked a to b so to find the length we can subtract scarlet's walk by jake's walk or 38-31 which is 7.
So we know the length of one side is 7 so this means we have side a to b and c to d, but we still need to know b to c. So what we can do is get the length of a b c and d and isolate it so that we only have b to c. To do this we get the length of 7 and double it which is 14 and take it away from the 38m
38-14=24
so now we know that the side is 24 and we can solve for the area
24*7=168
so the answer is 168 meters squared
-1. A coffee shop spends $400 for an order of 20 cases of paper cups. How much is
one case of paper cups? Write and solve an equation.
Answer:
$20
Step-by-step explanation:
400/20=20
What is the area of the triangle below? 00 17 O A. 136 sq. units O B. 68 sq. units O C. 25 sq. units O D. 50 sq. units
Answer:
B) 68 units^2
Step-by-step explanation:
8 x 17 x 0.5 = 68 units^2
Solve for the unknowns.
a, b , c ,d
Answer:
can u plz make a good picture to solve I can't see good
Step-by-step explanation:
and thanks
Find the volume of the beach ball and the volume of the toy ball. How many times greater is the volume of the beach ball than the volume of the toy ball?
A.THE VOLUME OF THE BALL IS 904 CUBIC INCHES. b. THE VOLUME OF THE BEACH BALL IS 678 CUBIC INCHES. c.the volume of the beach ball is 452 cubic inches
Answers:
Volume of beach ball = 904 cubic inchesVolume of toy ball = 113 cubic inchesThe beach ball is 8 times greater compared to the toy ball===============================================
Work Shown:
Beach ball
V = volume of sphere
V = (4/3)*pi*r^3
V = (4/3)*3.14*(6)^3 .... the beach ball has diameter 12, so radius is 6
V = 904.32
V = 904 cubic inches is the approximate volume of the beach ball
------------------------
Toy ball
V = volume of sphere
V = (4/3)*pi*r^3
V = (4/3)*3.14*(3)^3 .... the toy ball has diameter 6, so radius is 3
V = 113.04
V = 113 cubic inches is the approximate volume of the toy ball
--------------------------
Divide the two volumes to find that 904/113 = 8
This means that the beach ball is 8 times greater in volume compared to the toy ball
We can say
[tex]\text{Beach ball volume} = 8*\left(\text{toy ball volume}\right)[/tex]
The beach ball's volume is 7238.23and if we round that would be 7238 and the volume for the toy ball is 904.78 and if we round that it would be 905.So, it's around 7 times greater. The difference after they are rounded is 6,333.
Hope this helps.
please help me with this
nesecito ayuda para hacer el ejercico es para hoy!!!!! Un número se multiplica por 37 y al sumar los productos parciales resulta 7890. ¿Cuál es la suma de cifras del número
The distance from Cherotich's home to school is
2km 400m. He goes to school in the morning
and returns in the evening daily. What distance
does he cover from Monday to Friday?
Step-by-step explanation:
his one day distance=2400m
his mon -fri distance=2400×4
=9600m
ASAP!! WILL MARK BRAINLIEST!!!!!!!!
Complete the table below to solve the equation 2.5x - 10.5 = 64(0.5^x)
x f(x)= 2.5x - 10.5 g(x) = 64(0.5^x)
2
3
4
5
6
Answer in table format, picture below
Answer:
x = -0.35
Step-by-step explanation:
tep 1 - Multiply 64 and 0.5x. The answer ends up being 32x
Step 2 - You need to get all of the variables on one side and the regular numbers on the other side. To do that, you need to subtract 2.5x from each side so you are left with the equation -10.5 = 29.5x
Step 3 - The final step is to isolate the variable. To do this, you divide each side by 29.5 meaning that x = -0.35
1) f(x) = x 2+ 3x - 18 2) g(x) = x 2+ 2x - 120 3) h(x) = x 2+ 7x - 17 4) k(x) = x 2+ 9x + 20.25 5) s(x) = 4x 2– 5x - 21 6) t(x) = 16x 2+ 9x + 20 7) f(x) = -2x 2+ 10x - 5 8) r(x) = -3x 2- 5x + 2
8) If 15 balls cost Rs 225 then the cost of 8 balls is
Answer:
The cost of 8 balls is Rs $ 120.
Step-by-step explanation:
Given that 15 balls cost Rs $ 225, to determine the cost of 8 balls it is necessary to perform the following mathematical calculation:
(225/15) x 8 = X
15 x 8 = X
120 = X
Thus, the cost of 8 balls is Rs $ 120.
Ruby, Joey and sully are baking cookies together. they need 3/4 cup of flour and 1/3 cup of butter to make a dozen cookies. Ruby brought 2 cups of flour and 1/4 cup of butter, Joey brought 1 cup of flour and 1/2 cup of butter, sully brought 1 1/4 cups of flour and 3/4 cup of butter. if the students have plenty of other ingredients that they need. how many whole batches of a dozen cookies can they make.
Answer:
4 dozens.
Step-by-step explanation:
Since Ruby, Joey and Sully are baking cookies together, and they need 3/4 cup of flour and 1/3 cup of butter to make a dozen cookies, since Ruby brought 2 cups of flour and 1/4 cup of butter, Joey brought 1 cup of flour and 1/2 cup of butter, sully brought 1 1/4 cups of flour and 3/4 cup of butter, if the students have plenty of other ingredients that they need, to determine how many whole batches of a dozen cookies can they make the following calculation must be performed:
Flour: 2 + 1 + 1 1/4 = (4 1/4) / (3/4) = 4.25 / 0.75 = 5.666
Butter: 1/4 + 1/2 + 3/4 = (1 1/2) / (1/3) = 1.5 / 0.333 = 4.504
Thus, a maximum of 4 dozen cookies can be made.
Help pls!!ty!!:))):):
Answer:
Step-by-step explanation:
y = 85x+90
3) 85*3+90 (rule)
y= 85*3 = 255 + 90 = 345 (output)
4) 85*4+90 (rule)
y = 85*4= 340 + 90 = 430 (output)