Answer:
a) y = 5x
b) y = 60
Step-by-step explanation:
Since, y is directly proportional to x when y=30, x=6
[tex] \therefore \: y \: \alpha \: \: x \\ \therefore \: y = kx ...(1) \\ plug \: y = 30 \: and \: x = 6 \: in \: eq \: (1)\\ 30 = k \times 6 \\ k = \frac{30}{6} \\ k = 5 \\ plug \: k = 5 \: in \: (1) \\ y = 5x....(2) \: (required \: equation) \\ plug \: x = 12 \: in \: eq \: (2) \\ y = 5 \times 12 \\ \huge \red{ \boxed{y = 60}}[/tex]
Levar is four years older than Danny. Together, their ages add up to 60 . Write an equation to find how old Danny is , using ? To represent his age.
Answer:
2x+4=60
Step-by-step explanation:
let X represent Danny's age.
and X+4 represent Levar's age since he's 4 years older than Danny we add 4.
subtract 4 from both sides and then divide by 2 and Danny's age is 28 and Levar is 32
Point M is the midpoint of segment PR. If PM= 4x - 12 and MR =2x + 21, solve for x and determine the measure of segment PR
Set up an equation to solve for x.
Answer:
x=4.5
Step-by-step explanation:
pm is equal to mr so you can set the equations to equal each other and solve
How much would the account earn in 1 year of simple interest at a yearly rate of 2.33%? Round to the nearest cent.
Answer:
who knows what is the whole question
Step-by-step explanation:
Evaluate the function f(x) = 3 - 6x, when x=0.
a -3
b 0
c 3
d -57
Answer:
C
Step-by-step explanation:
f(0)= 3 - 6 (0)
f(0)= 3 - 0
f(0)= 3
Rajeev has three times the number of oranges as
Sanjeev. Together, they have 28 oranges.
How many oranges does Sanjeev have?
Answer:
7
Step-by-step explanation:
let sanjeevs no of oranges be x
rajeevs no of oranges=3x
total=4x=28
x=28/4
=7
sanjeevs oranges=7
while rajeevs oranges=3*7
=21
There were 52 problems on Petunia's last math test. She got
one-fourth of them wrong. How many questions did she get right?
Answer:13
Step-by-step explanation:
An isosceles triangle has two sides of equal length. The third side is 7 less than twice the length of one of the other sides. If the perimeter of the triangle is 44 cm, what is the length of the third side?
Answer:
x+x+7-x=44
x+7=44
x=44-7
x=37
what is the opposite of 9.3?
Answer:
The answer is -9.3
Step-by-step explanation:
If it was postitive change to negative. If it was negative change to positive.
I hope this helped and have a great day!
(Please vote this brainliest)
Answer: -9.3
Step-by-step explanation:
Divide. 5892 ÷ 18 in fraction form.
Answer: mixed number 327 1/3
Step-by-step explanation:
5892/ 1÷18/ 1=327 1/3
put each number over one to turn it into a fraction.
The answer in fraction form is 982/3 or 327 (1 / 3).
Given,
5892 ÷ 18
We need to divide it in fraction form.
How do we divide a fraction?Suppose we have two fractions:
a/b and c/d
Divide a/b by c/d
Now,
a/b ÷ c/d
a/b x d/c
Divide 5892 ÷ 18 in fraction form.
Write 5892 and 18 in fraction form:
- 5892/1
- 18/1
Now,
= 5892 / 1 ÷ 18/1
= (5892/1) / (18/1)
= (5892/1) x (1/18)
= (5892 x 1) / (1 x 18)
= 5892 / 18
Write it in 6 multiples
= (6 x 982) / (6 x 3)
6 gets cancelled
= 982 / 3
We can write it in mix fraction.
= 327 (1 / 3)
Since,
3 x 327 = 981
981 + 1 = 982
Thus the answer in fraction form is 982/3 or 327 (1 / 3).
Learn more about dividing in dividing a fraction by a fraction here:
https://brainly.com/question/14582918
#SPJ2
27. If x = -6, which inequality is true?
A. -5 - 3x > 10
B. -3 - 5x < -14
C. 1 - 2x > 13
D. 2 - X <-3
Answer:
A. -5 - 3x > 10
Step-by-step explanation:
x = -6
A. -5 - 3(-6) > 10
-5 + 18 = 13 > 10
true
B. -3 - 5(-6) < -14
-3 + 30 = 27 < -14
false
C. 1 - 2(-6) > 13
1 + 12 = 13 > 13
false
D. 2 - (-6) <-3
2 + 6 = 8 < -3
false
2log50+2log2 sederhanakan dengan caranya
Answer:
4
Step-by-step explanation:
log(50×50)×log(2×2)
log (2500)×log(4)
log(2500×4)
log(10000)
log(10^4)
=4
-6x+8y-10x-8y
Show and explain work
Answer:
Simplify the expression.
−16x
Step-by-step explanation:
(sqrt(6))/(8+\sqrt(10))
Answer:
[tex]\frac{4\sqrt{6}-\sqrt{15}}{27}[/tex]
Step-by-step explanation:
[tex]\frac{\sqrt{6} }{8+\sqrt{10} } \\\\\mathrm{Multiply\:by\:the\:conjugate}\:\frac{8-\sqrt{10}}{8-\sqrt{10}}\\=\frac{\sqrt{6}\left(8-\sqrt{10}\right)}{\left(8+\sqrt{10}\right)\left(8-\sqrt{10}\right)}\\\\\sqrt{6}\left(8-\sqrt{10}\right)=8\sqrt{6}-2\sqrt{15}\\\left(8+\sqrt{10}\right)\left(8-\sqrt{10}\right)=54\\\\=\frac{8\sqrt{6}-2\sqrt{15}}{54}\\\\\mathrm{Factor}\:8\sqrt{6}-2\sqrt{15}:\quad 2\left(4\sqrt{6}-\sqrt{15}\right)\\\\=\frac{2\left(4\sqrt{6}-\sqrt{15}\right)}{54}\\[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:2\\\\=\frac{4\sqrt{6}-\sqrt{15}}{27}[/tex]
7 divided by what equals 56?
Answer:
the answer is 8 very easy and very simple have a great
day ☺️
Please Help!! 10 Points!! Brainliest answer
Answer:
XW since it matches the same as IH
Step-by-step explanation:
example if it asked another question saying what corresponds with XY. XY is on the last part of the statement so it would correspond with IJ
Four kids race their bikes down the street. Evan finishes in 6.2,Devon in 6.0999 seconds,Liza in 6.188, and Tasha in 6.168 seconds. Which order shows the friends' times from fastest to slowest
Answer:
Devon, Tasha, Liza, Evan
Step-by-step explanation:
Devon is the fastest with 6.0999
Tasha is second fastest with 6.168
Liza is third fastest with 6.188
and Evan is the slowest with 6.2.
A class has 30 boys and 20 girls. The average age of
boys is 11 yrs and girls 12 What is the
average age of the whole class."
x = total age of boys
x / 30 = 11yrs
Multiply both sides by 30
x = 330
y = total age of girls
y / 20 = 12
Multiply both sides by 20
y = 240
(240 + 330) / 50 = 11.4 yrs
The average age of the whole class = 11.4 years.
A class has 30 boys and 20 girls.
The average age of boys and girls is 11 and 12 respectively.
To Find:The average age of the whole class.
Solution:Boys = No. of boys × Age
Boys = 30 × 11 = 330
Girls = No. of girls × Age
Girls = 20 × 12 = 240
Average Age = Boys + Girls / Total no. of boys and girls
Average Age = 330 + 240 / 50
Average Age = 570 / 50
Average Age = 11.4
Answer:Average age of of the whole class is 11.4 .
Cookie the dog is getting ready to go on a trip to Mexico. In Texas, she weighs 35 pounds. If someone were to weigh her in Mexico, how many kilograms would she weigh? There are approximately 0.45 kilograms in 1 pound.
I need help
Answer: 15.876kg
Step-by-step explanation:
Please I need help!!!
Answer:
10 1/2
Step-by-step explanation:
use a calculater
help me pls i need help pls omg omg
Answer:
eliminated, the bedtime increases by one minute. ... Description: This activity requires students to tell time to the half-hour (e.g. 4:00, 5:30, 11:30).
Step-by-step explanation:
Answer:
I think it's A) <1 and <2
Step-by-step explanation:
I am not 100% on this, but Adjacent angles are two angles that have a common vertex and a common side but do not overlap. In the figure, ∠1 and ∠2 are adjacent angles. They share the same vertex and the same common side.
Which expression is a representation of the following:
+4
-7
A.4+ (-7) = - 3
B.7-4=3
C.4 + 7 = 11
D.4 + (-7) = 3
Help please I don’t understand
what is 2 time 30000
Answer:
60000
Step-by-step explanation:
Answer:
60,000
Step-by-step explanation:
2 times 30,000 is 60,000
Which shows a set of three equivalent decimals? 0.8, 0.08, 0.800 0.8, 0.80, 0.800 8.0, 0.80, 0.800 8.0, 8.00, 0.800
Answer:
they are all equivilent
Step-by-step explanation:
Answer:
B. 0.8, 0.80, 0.800
Step-by-step explanation:
Does anyone know the answer to this?
Answer:
(B) The exponents should be subtracted by the quotient rule of exponents
Step-by-step explanation:
Let's examine how this was solved.
[tex](\frac{4^2 4^3}{4^{-5}})^2[/tex]
He first rose everything in the parentheses to the second power, which is just multiplying all the exponents by 2. This is correct.
[tex]\frac{4^4 4^6}{4^{-10}}[/tex]
He then combined the numerator exponents. Exponent rules say that [tex]a^b \cdot a^c = a^b+c[/tex], so he should have ended up with [tex]4^{10}[/tex], which he did. This is correct.
[tex]\frac{4^{10}}{4^{-10}}[/tex]
Now, what he did in the final step is wrong. He added the exponents. However, exponent rules tell us that when we have [tex]\frac{a^b}{a^c}[/tex], it equals [tex]a^{b-c}[/tex].
[tex]10 - (-10) = 10+10 = 20[/tex]
So the final answer should have been [tex]4^{20}[/tex]
Hope this helped!
I do not get it pls help ASAP
Answer:
17 ft.
Step-by-step explanation:
just add all the values to get the perimeter.
Perimeter = 3ft +4+3+4+3
=17 feet
Therefore.., 17ft is the perimeter..
If this answer helps you plz mark as brainlist..“An elephant charged 13.3 meters in 15 seconds.
At this rate, how far would the elephant move if it
could charge for 1 minute?”
Answer:
53.2 metersStep-by-step explanation:
If an elephant charged 13.3 meters in 15 seconds, to calculate the distance charged by the elephant in one minute, the following steps will be arried out.
15 seconds = 13.3 meters
1minute (60 seconds) = x
cross multiply
15 * x = 13.3 * 60
15x = 798
Divide both sides by 15
15x/15 = 798/15
x = 53.2metres
Hence the elephant will charge 53.2 meters for 1 minute
The steps below show the solution to the equation 3 (2-2) = 2(x - 3).
Order the reasons for the steps. 3(2-2) = 2(2-3) 3(2) + 3(-2) = 2 (x) +2 (-3) (Select) 32 - 6 = 22 - 6 [Select] 3x - 2 = -6+6 Select) x=0 Select
8 (2x - 3) – 6x
What is the answer
Answer:
10x-24
Step-by-step explanation:
16x-24-6x
10x-24
Answer:
-24
Step-by-step explanation:
2x - 4y + 7x - 87
Helppp
Answer:
9x-4y-87
Step-by-step explanation:
2x-4y+7x-87
9x-4y-87
Answer:
9x-4y-87
Step-by-step explanation:
7x+2x=9x
-4y has no similar variable
-87 has no similar variable
therefore the answer is 9x-4y-87