Answer:
Ivan receives £120 more than Tanya.
Step-by-step explanation:
Total Money = £ 150
Ratio = 4:1
This means that Ivan gets 4x of £150 and Tanya gets 1x of £150.
Ivan's money = 4x
Tanya's money = 1x
Now, we know that total money is equal to the sum of Ivan's & Tanya's money.
Total money = Ivan's money + Tanya's money
£ 150 = 4x + 1x
£ 150 = 5x
150/5 = x
30 = x.
We have found the value of x, now we can substitute 30 in the place of x and find the money Ivan and Tanya get.
Ivan = 4x = 4×30 = £120.
Tanya = 1x = 1×3 = £30.
So, Ivan receives more money. But how much more? We can solve that by subtracting Tanya's money from the total amount.
Total amount - Tanya's money = 150 - 30 = £120.
So, Ivan receives £120 more than Tanya.
Does the point (2, 5) satisfy the equation y = 5x − 5?
Answer:
yes
Step-by-step explanation:
so x=2 and y=5
5 = 5 x 2 - 5
0=0
equation is right
Pleaseeee help meeeee
Answer:
x=-8
Step-by-step explanation:
1) remove the constant(number without variable) to do this, we must use the opposite operation(in our case, subtraction)
so
4x+1=-31
a) 4x+1-1=-31-1
4x=-32
b) remove the coefficient by doing the opposite operation(division in our case)
x=-8
A volleyball camp charges $150 per camper for 10 campers. When a team brings 15 campers, the rate is reduced to $125 per camper.
What is the rate of change in cost per camper?
Answer:
the answer is eight dollars and thirty four cents $8.34
solve the following simultaneous equations using an algebraic method.
5x + 3y = 11
2x - 7y = 29
will be grateful!
Select the correct answer.
Answer:
a
Step-by-step explanation:
i did this test and question beforer si know what it iso
Convert to %
1) 1/2
2) 1/4
3) 1/3
4) 3/10
5) 6.5/10
Answer:
1) 50%
2) 25%
3) 33.33 %
4) 30%
5) 65%
A petting zoo has 7 lambs, 12 rabbits, 6 goats, and 3 piglets. Find the
ratio of rabbits to the total number of animals. Write the ratio in
simplest form.
Answer:
3:7
Step-by-step explanation:
The number of rabbits is 12 while the total number of animals
7 + 12 + 6 + 3 = 28
So the ratio of rabbits to animals is 12:28 = 3:7
The width of a rectangle is x. Its length is 3x. How long is the diagonal of the rectangle? Express your answer in simplified radical form.
Answer:
The length of the diagonal is x√10
Step-by-step explanation:
Here, we want to find the length of the diagonal
The diagonal will represent the hypotenuse of a triangle formed with the width and length of the triangle being the measure of the other sides
Mathematically, we then apply Pythagoras’ theorem to get this
we have this as that the square of the diagonal equals the sum of the squares of the two other sides
d^2 = x^2 + (3x)^2
d^2 = x^2 + 9x^2
d^2 = 10x^2
d = √(10x^2)
d = x√10
410 is what percent of 65?
Answer:
15.85%
Step-by-step explanation:
you know you have 65 and you have 410 so you just multiply and try and figure out the ratio and how much percentage is out of it.
please help omg ♀️ !!
Answer:
first blank: 50-10=40
second blank: 50-20=30
third blank: 50-25=25
Step-by-step explanation:
hope this helps!
Answer:
Step-by-step explanation:
40 30 25
10 20 25
40 30 25
Last week, labron jogged for 2 1/4 miles. This week , he plants to jog 2 times as far as last week. How many miles does Lebron Plant to jog this week?
Answer:
4.5 miles
Step-by-step explanation:
2 times as far as last week
last week was 2.25 miles
2* 2.25 = 4.5 miles
The ratio of students to teachers at a school is 19 : 1. At this school, there are 400 people (teachers and students). How many of these 400 people are students? (enter number only, without the unit)
Answer:
There are 380 students and 20 teachers.
Answer:
380
Step-by-step explanation:
Let 19x = no. of students
x = no. of teachers
Then, x + 19x = 400
20x = 400
x = 20
19x = 19(20) = 380
What inverse operation should be used to isolate the variable in the equation
k - 9 = 10?
Answer:
k-9=10
k=10+9
k=19
take care of yourself
have a nice day
A certain brand of shampoo contains 12 ounces in a bottle. The company
decides to redesign the shape of the shampoo bottle. The new type of
bottle contains 15 ounces of shampoo. What is the percent of increase in
the amount of shampoo the new bottle contains?
Answer: 15% I think
Step-by-step explanation:
The percent of increase in the amount of shampoo the new bottle contains is 25%.
Given that, a certain brand of shampoo contains 12 ounces in a bottle and the new type of bottle contains 15 ounces of shampoo.
What is the percentage of increase?Percentage increase is the difference between the final value and the initial value, expressed in the form of a percentage.
Percentage increase = (Final value - Initial value) / Initial value × 100
Now, initial value = 12 and final value = 15
Percentage increase = (15-12)/12 × 100
= 3/12 × 100
= 1/4 × 100
=25%
Therefore, the percent of increase in the amount of shampoo the new bottle contains is 25%.
To learn more about the percentage increase visit:
https://brainly.com/question/10168902.
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solve each equation below showing every step checking your solution is optional
Answer:
x=4
Step-by-step explanation:
Answer:
for question d, 58.3 repeated
Step-by-step explanation:
cross multiply 3x=175
175/3= 58.3 repeated or 58 and one third.
hi could you please tell me the answer to this?
Answer:
5
Step-by-step explanation:
5
NEED HELP ASAP GIVING BRAINLEST:
Write a real world situation that could be represented using the following equation:
x - 100 = 40
Answer: if Lisa has ? sheets of paper and she uses 100 sheets and has 40 sheets left how many sheets of paper did she start with
A baker made 20 muffins for a cafe. By noon, 15% of the muffins were sold. How many muffins were sold by noon?
Answer:
15% of 20 is 3, so 3 muffins were sold.
Step-by-step explanation:
To get this answer, multiply the percent by the total (15 x 20 = 300) and then divide the answer by 100. (300 / 100 = 3). Hope this helps :)
Answer:3
Step-by-step explanation:
0.15x20=3
0.15 is the percent of muffins, to find out a percentage over a number, you do the percentage dived by 100. Than, you multiply it by the number.
WHAT WOULD THIS BEEE!!
use Pythagoras theorem
20 units
The number of incidents in which police were needed for a sample of 10 schools in one county is:
6
40
49
4
42
47
17
8
32 11
Find the first and third quartiles for the data.
Part: 0/2
Part 1 of 2
First quartile Q, is
Answer:
3Step-by-step explanation:
expand My eBay and thought you might be a good time to get the latest flash player is required for video playback is unavailable right now because this video is not available for remote playback is unavailable right now because this video is not available for remote playback is unavailable right now because this video is not available for remote playback is unavailable right for me as soon is unavailable and nice and clean this is unavailable for video for me and
5 Marta designs a logo for her mother's business,
X-treme Nutrition. The logo is shown.
35°
35°
b
Which equation and solution best represents
angle b?
A b + 35 = 90; b = 55°
B b-35 = 35; b = 70°
C 6+ 70 = 180; b = 110°
D b + 35 = 180; b = 145°
Answer:
(C). b + (2 × 35) = 180; b = 110°
Step-by-step explanation:
A polynomial equation with rational coefficients has roots +5 plus 12 i and −−negative 9 minus 7 i. List two more roots of the equation.
Answer:
The additional roots are: [tex]5 - 12i[/tex] and [tex]-9 + 7i[/tex]
Step-by-step explanation:
Given
Roots: [tex]5 + 12i[/tex] and [tex]-9 -7i[/tex]
Required
Determine two additional roots
For a polynomial with two rational roots, the additional roots are the conjugates of the roots.
Take for instance, the following expression:
[tex]a + \sqrt b[/tex]
The conjugate of [tex]a + \sqrt b[/tex] is: [tex]a - \sqrt b[/tex].
Having established how to determine the additional roots, we proceed to determine the roots.
The conjugate of [tex]5 + 12i[/tex] is [tex]5 - 12i[/tex] and the conjugate of [tex]-9 -7i[/tex] is [tex]-9 + 7i[/tex]
Hence, the additional roots are: [tex]5 - 12i[/tex] and [tex]-9 + 7i[/tex]
Here are sketches of four triangles in each triangle the longest side is exactly 1cm the other length is given to 2 decimal places work out the value of x give your answer to 1 decimal place 4 cm 57°
If the hypotenuse is 4 cm and an angle is 57°. Then the measure of the length of the side x will be 3.36 cm.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function. The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The right triangle is given with a hypotenuse of 4 cm and an angle of 57°.
Then the value of x will be
The value of x will be given by the sine rule.
sin θ = x/h
WE have
θ = 57°
h = 4 cm
Then we have
sin 57° = x/4
x = 3.3546
x ≅ 3.36
More about the right-angle triangle link is given below.
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please help! it would be much appreciated
Answer:
20
Step-by-step explanation:
For what value of k is the expression x^4 + kx^2 + 49 a perfect square?
Answer:
[tex]k=14[/tex]
Step-by-step explanation:
Completing the square gives
[tex]x^4 + kx^2 + 49\\= (x^2+7)^2 - 14x^2 + kx^2[/tex]
So we have to cancel the latter two terms out for the expression to always become a square (otherwise we are dealing with a square plus something else, which doesn't always result in a square), giving us our answer directly.
Answer:
k=± 14
Step-by-step explanation:
[tex]x^4+kx^2+49\\Disc.=b^2-4ac=k^2-4*1*49\\it ~ is ~a ~ perfect ~ square.\\k^2-196=0\\k^2=196\\k= \pm 14[/tex]
The track team is trying to reduce their time for a relay race. First they reduce their time by 1.2 minutes. Then they are able to reduce that time by 1/10. If their final time is 3.60 minutes, what was their beginning time?
Answer:
5.2 Minutes, or 5 minutes and 12 seconds
Step-by-step explanation:
You can solve this problem by working backward. Since our number gets smaller by a 1/10 or 0.1, in order to work backward we must multiply 3.60 by 10/9, since one tenth has been taken away already. When we do this, we get 4.0. When we add 1.2 minutes to that, we get a final answer of 5.2 minutes, or 5 minutes and 12 seconds.
I will give BRAINLIEST:)
Answer:
A'C'=AC=3
Step-by-step explanation:
Answer:
C: 3 units
Step-by-step explanation:
Just think about it... 180 degrees rotated is exactly opposite rotation degree.
If you rotate 90 degrees, the triangle will end up on quadrant 4.
Rotate 360 degrees, the triangle will stay in the same quadrant.
In conclusion, C is the best option
Mr. Brown purchased tires for his car. The tires were $75 each, including tax, plus $10 for installation. Mr. Brown paid $160 for the tires and installation. Which equation can be used to find the number of tires, t, that Mr. Brown purchased?
A. t = 160 + 75(10)
B. 75 + t(10) = 160
C. 75t + 10 =160
D. 160t - 75 = 10
Could you show your work? Thanks!
Answer:
Step-by-step explanation:
The answer is C because t = 2 so 75x2=150 and 150 + 10= 160.
please helpppp and explain
Answer:
angle BAC=50-2x
Step-by-step explanation:
angle ACD=115+x
then, angle ACB=180-(115+x) because it is a supplementary angle
angle ABC=angle ACB because it is an isosceles triangle
angle BAC=180-2[180-(115+x)]
angle BAC=180-360+230-2x
angle BAC=50-2x
Joe ordered some books online and spent a total of $75 . Each book cost $6 and he paid a total of $3 for shipping . How many books did he buy ?