Answer:
30:48
Step-by-step explanation:
because there are 30 oranges and 48 plums. I got this by putting oranges in front of plums to get the ratio of 30:48
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
please help! it would be much appreciated
Answer:
20
Step-by-step explanation:
Triangle PQR has the following coordinates:
P(-9, -12)
Q(-6, -13)
R(-7, -4)
Where is Q’ after a translation 9 units right and 11 units up?
Answer:
P(0, -1)
Q(3, -2)
R(2, 7)
Step-by-step explanation:
9 units right : +9 to each x-coordinate
11 units up: +11 to each y-coordinate
P(-9+9, -12+11) = P(0, -1)
Q(-6+9, -13+11) = Q(3, -2)
R(-7+9, -4+11) = R(2, 7)
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]
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.
Select the correct answer.
Answer:
a
Step-by-step explanation:
i did this test and question beforer si know what it iso
Solve the following equation: 2x – 4 = 4x +8. Make sure to not only solve the problem, but to list out the steps using academic vocabulary.
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
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.
https://brainly.com/question/3770177
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1. Please help if possible :)
Answer:
54
Step-by-step explanation:
6x=9x-27
x=9
9*9-27=54
Solve the equation:
-35 = -30 - b
Plzzzzz help
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
9 = - 5b - 23 write your answer as a decimal
9=-5b-23
9+23=-5b
32=-5b
32/-5=b. ..(here 32/-5= 32 upon -5)
-6.4=b
The required simplified value of b for the given expression is b = -2.8.
GIven that,
To determine the simplified value of b for the expression 9 = - 5b - 23.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
the given expression,
9 = - 5b - 23
Simplifying,
-5b = 23 - 9
-5b = 14
b = -14 / 5
b = -2.8
Thus, the required simplified value of b for the given expression is b = -2.8.
Learn more about simplification here: https://brainly.com/question/12501526
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How do you write 28/50 as a percentage?
Answer: 56%
Step-by-step explanation: To write the fraction 28/50 as a percent, remember that a percent is a ratio that compares a number to 100.
So we need to find a fraction that's equivalent
to 28/50 that has a 100 in the denominator.
To do this, we set up a proportion.
So we have 28/50 = n/100.
To find the value of n, we first find the fraction that
is equivalent to 28/50 that has a denominator of 100.
If we multiply both the numerator and denominator of
28/50 by 2, we can see that 28/50 = 56/100.
So 28/50 is equal to 56/100 or 56%.
The top walking deck of a ship is 120 ft long. This is only 3/11 of the length of the ship. What is the length of the ship
Answer: 440 ft
Step-by-step explanation:
The top walking deck is 120ft long and yet comprises only 3/11 of the ships total length.
Assuming the total length of the ship is x ft long, the expression would therefore be:
x * 3/11 = 120 ft
The above shows that if x is multiplied by 3/11 it will give a distance of 120ft which is the top walking deck length.
Solving for x:
x * 3/11 = 120
x = 120 ÷ 3/11
x = 120 * 11/3
x = 440 ft
Note: When being divided by a fraction, you can multiply the inverse of the fraction to find the result.
Expand
(3a – 5b)(2a +36)
Answer:
6a^2+108a-10ab-180b
Step-by-step explanation:
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.
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 ?
Jeff can paint 28 square feet every 15 minutes. Angela can paint 115 square feet every hour. Who can paint faster, and by how many square feet per hour?
Answer:
Angela by 3 sf per hour
Step-by-step explanation:
60÷15=4
28×4=112
115-112=3
A city council organized a marathon race to promote good health. There were 3 times as many female participants as male participants in the marathon. If the total number of participants was 812, how many participants were male
Answer:
609 males
Step-by-step explanation:
A city council organized a marathon race to promote good health.
Let the number of
Females = x
Males = y
There were 3 times as many female participants as male participants in the marathon.
3x = y
If the total number of participants was 812,
x + y = 812..... Equation 1
We substitute 3x for y in Equation 1
x + 3x = 812
4x = 812
x= 812/4
x = 203 females
3x = y
Solving for y
3(203) = 609 males
The number of males participants = 609
In triangle ABC, the sum of the measures of angle A and angle B is 120. The sum of the measures of angle B and C is 110. Find the measure of the greatest angle of the triangle.
Answer:
70
Step-by-step explanation:
the sum of the three is 180, so c is 60, a is 70, and b is 50.
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
Reflected over the x axis, vertically stretched by a factor of 3 and translated right 1
Step-by-step explanation:
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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
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.
solve the following simultaneous equations using an algebraic method.
5x + 3y = 11
2x - 7y = 29
will be grateful!
From 86 to 118 what is the percentage increase a percent
Answer:
37.2093%
Step-by-step explanation:
(V2−V1)|V1|×100
=(118−86)|86|×100
=3286×100
=0.372093×100
=37.2093%change
=37.2093%increase
Uhhh....I dont understand Plz Help TwT
hi could you please tell me the answer to this?
Answer:
5
Step-by-step explanation:
5
Grapes are priced at $2.25 per pound. Which of the following equations best represents the cost, c, of buying g, pounds of grapes?
A. c=2.25g
B. c=g+2.25
C. g=c+2.25
D.g=2.25c