Answer:
ab and ed are opposite rays
Step-by-step explanation:
PLEASE MARK AS BRAINLIRST
Answer:
A pair of opposite rays are two rays that have the 'same endpoint and extend in opposite directions. So, together a pair of opposite rays always forms a straight line
The inequality - 15<-6 is given. Write the inequality you get when you perform the
following operation.
Divide both sides of the inequality by 3.
Answer:
-5
Step-by-step explanation:
-15<-6=-15
-15÷3
=-5
Inequalities are used to show unequal expressions. There are five inequalities, and they are: not equal to, greater than, less than, greater than or equal to and less than or equal to.
The inequality when both sides of [tex]-15 < -6[/tex] is divided by 3 is [tex]-5< -2[/tex]
Given that:
[tex]-15 < -6[/tex]
Divide both sides by 3
[tex]-15 \div 3< -6 \div 3[/tex]
Evaluate the division
[tex]-5< -2[/tex]
Hence, the inequality when both sides of [tex]-15 < -6[/tex] is divided by 3 is [tex]-5< -2[/tex]
Read more about inequalities at:
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If 18 drinks cost £54, how much will 7 drinks cost ?
Answer:
£21
Step-by-step explanation:
Cost of 18 drinks = £54
Cost of 1 drink
= Cost of 18 drinks/18
= £54/18
= £3
Cost of 7 drinks
= Cost of 1 drink × 7
= £3 × 7
= £21
Find two given numbers in a given ratio such that the sum of their squares is to their difference in a given ratio. Ratios being 3 : 1 and 10 : 1.
Answer: a=6 and b=2
Step-by-step explanation:
Let say A and b the 2 numbers.
[tex]\dfrac{a}{b} =\dfrac{3}{1} \Longrightarrow\ a=3b\\\\\dfrac{a^2+b^2}{a-b} =\dfrac{10}{1} \Longrightarrow\ (3b)^2+b^2=10*(3b-b)\\\\\Longrightarrow\ 10*b^2=10*2b\\\\\Longrightarrow\ b=2\\\\\Longrightarrow\ a=6\\\\[/tex]
Write a function rulle
Hey, there! Based on the table from the picture, every hour increased is $6 increased for the cost of the rental.
First hour: $10
Second hour: $16
Third hour: $22
Fourth hour: $28
So, final answer is:
+1 hour=+$6.
Anyways, I hope this helps! Enjoy your day! Take care!
Which expression represents -8x^2+54x+140 in factored form?
A. (x-70)(-8x+2)
B. (x+1)(8x- 140
C. (x-8)(2x+70)
D. (x+2)(-8x+70)
Answer:
D. (x+2)(-8x+70)
Step-by-step explanation:
-8x^2+54x+140
Factor out -2
-2(4x^2+27x+70)
Factor
-2(x+2)(4x-35)
Option D is the same answer if we multiply -2 in the second term
(x+2) (-8x+70)
I need help please please help me )):
Answer:
ok bro I will help you don't worry
In a party of 60 people, 35 had vanilla ice-cream, 35 had chocolate ice-cream. All the people has at least one ice cream then how many of them had i) both vanilla and chocolate ice-cream ii) only Vanilla ice-cream iii) Only chocolate ice-cream
Step-by-step explanation:
[tex]its \: your \: answer \: I \: hope \: it's \: help \: you \: \\ dear[/tex]
In △PQR, sinQ=25, sinR=13, and q=6. Find the side length r.
Can someone please help
Answer:
r = 5
Step-by-step explanation:
the sine rules formula :
sin Q/q = sin R/r
=> r = q× sin R / sin Q
= 6× ⅓ / (2/5)
= 2 /(2/5)
= 2× 5/2
= 5
The measure of side length "r" if sinQ=2/5, sinR=1/3, and q=6 is 5
Application of sine rule.According to the rule, the ratio of the sides to the opposite angles is a constant. Mathematically:
p/sinP = q/sinQ = r/sinR
Given the following parameters
sinQ=2/5, sinR=1/3, and q=6.
6/(2/5) = r/(1/3)
30/2 = 3r
15 = 3r
r = 5
Hence the measure of side length "r" if sinQ=2/5, sinR=1/3, and q=6 is 5
Learn more on sine rule here: https://brainly.com/question/27174058
A=1/2pie r squared solve for pie
Answer:
[tex]A = \frac{1}{2} \pi r [/tex]
multiply all sides by 2:
[tex]2 \times A = ( \frac{1}{2} \pi r) \times 2 \\ \\ 2A = \pi r[/tex]
divide all sides by r:
[tex] \frac{2A}{r} = \frac{\pi r}{r} \\ \\ \frac{2A}{r} = \pi[/tex]
therefore:
[tex]{ \boxed{ \sf{\pi = \frac{2A}{r} }}}[/tex]
. What is the total cost of 6 books at N8.50k each?
Answer:
51
Step-by-step explanation:
1 book= N8.50
therefore 6 books= N8.50 × 6 = N51
Simplify -4+8-2 and 8-(-3)-5
Answer:
-2 and 6
Step-by-step explanation:
[tex] - 4 + 8 - 2[/tex]
[tex] - 6 + 8[/tex]
[tex] = - 2[/tex]
○●○●○●○●○●○●○●○●○●○●○●○●○●○
[tex]8 - ( - 3) - 5[/tex]
[tex]8 + 3 - 5[/tex]
[tex] = 6[/tex]
solve for Y: Y=6b+12ab^2 a= 4, b=6
Answer:
1764
Step-by-step explanation:
Y=6b+12ab^2
Let a = 4
b = 6
Y = 6(6) +12 (4)(6)^2
= 36 + 12 (4) (36)
= 36+1728
=1764
Answer:
[tex]\huge\boxed{\sf Y = 1764}[/tex]
Step-by-step explanation:
[tex]Y = 6b+12ab^2\\\\Given \ that \ a = 4 , \ b = 6\\\\Putting \ values\ in \ given \ equation\\\\Y = 6(6) +12(4)(6)^2\\\\Y = 36 + 48(36)\\\\Y = 36 + 1728\\\\Y = 1764\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!Find the root(s) or zero(s) of the function.
Answer:
-1/2 , 3
Step-by-step explanation:
In order to find the roots of the function 2x² - 5x - 3
We have to solve the quadratic equation :
2x² - 5x - 3 = 0
Calculating the discriminant Δ :
Δ = b² - 4ac
= (-5)² - 4(2)(-3)
= 25 + 24
= 49
Then
√Δ = √49 = 7
Determining the Zeros :
[tex]x=\frac{-b+\sqrt{b^{2}-4ac} }{2a} = \frac{5+7} {2 \times (2)} =\frac{12}{4} =3[/tex]
or
[tex]x=\frac{-b-\sqrt{b^{2}-4ac} }{2a} = \frac{5-7} {2 \times (2)} =\frac{-2}{4} =\frac{-1}{2}[/tex]
help pls, i dont get this :(
Answer:b. a deposit of $278 followed by a withdrawal of $278
Step-by-step explanation:
use a calculator
The formula for determining the pressure, p, exerted on an object at a depth, h, below the surface of a liquid is p = s + dgh, where s is the atmospheric pressure, d is the density of the liquid, and g is the acceleration due to gravity.
(Pls Explain in Simple terms)
Answer:
The formula for determining the pressure, p, exerted on an object at a depth, h, below the surface of a liquid is p = s + dgh,
Combine Like Terms
4. Which expression is equivalent to -9 + 8y + 12 - (-2y) + 1 ?
14y
10y
4+6y
10y+4
Answer:
10y + 4
Step-by-step explanation:
-9 + 8y + 12 - (-2y) + 1
-9 + 8y + 12 + 2y + 1
8y + 2y - 9 + 12 + 1
10y + 4
The area of this shape is 24 square units. Which of these statements is true about the area ?
Answer:
D.
Step-by-step explanation:
The sum of 7/4 and pi i
Hi! I'm happy to help!
To first of all write this expression, we need to know what sum means. Sum means addition, so we are adding. From there, we write it like this:
[tex]\frac{7}{4}[/tex]+[tex]\pi[/tex]
This is how you write it.
If you want to solve it, you need to know what pi is. pi is 3.14159...
It goes on forever, but we cane round to the nearest ten thousandth.
From here, you need to turn [tex]\frac{7}{4}[/tex] into a decimal. 4/4 is equal to 1, and 3/4 is equal to 0.75. Together, equal 1.75, or 7/4
Now, we solve our equation:
[tex]\frac{7}{4}[/tex]+[tex]\pi[/tex]
[tex]\frac{7}{4}[/tex]+3.14159
1.75+3.14159
4.89159
This is what the answer to the expression is.
I hope this was helpful, keep learning! :D
An alphabetic character representing a number
Answer:
a variable
Step-by-step explanation:
The answer is a variable because it's a letter that stands in place of a number
Answer:
simply refers to the type of Latin and Arabic characters representing the numbers 0 - 9, the letters A - Z
Please help me with number 2?
Answer:
y= 2× +4
Step-by-step explanation:
Slope intercept form y = mx +b
4x -2y = -8
-2y = -4x-8
y = 2x +4
slope = 2x
y intercept = 4
please solve this question i need help
Answer:
4c/2a 60 degrees 3bf 2ad
Answer:
f=120
b=40
d=140
e=120
c=30
a=30
Please help me on this homework assignment, 20 points to whoever can help me and give me a good answer. it is asking for the height and the bottom number under the 90 degree angle is 6.
Answer:
h = 3 sqrt(21)
or
h = 13.75
Step-by-step explanation:
The perimeter of the rhombus is 60 feet. Like a square, all the sides of a rhombus are equal. Therefore your first step is to find FK which is a side.
FK = 60/4 = 15 feet.
Now you can use the Pythagorean Theorem.
a^2 + b^2 = c^2
a = 6
b = height or = h
c = 15
6^2 + b^2 = 15^2
36 + b^2 = 225
b^2 = 225 - 36
b^2 = 189
sqrt(b^2)= sqrt(189)
b = sqrt(3 * 3 * 3 * 7) You can take out the square of 3 * 3 and make it 3.
b = 3 * sqrt(3*7)
b = 3 * sqrt(21)
Somebody please help me solve this question. If possible with the explanation as well. Calculate
| 1-x^2 | > 1/2
Answer:
x < -√3/2, x > √3/2, or -√1/2 < x < √1/2
Step-by-step explanation:
|1 - x^2| > 1/2
~Apply absolute value rule
1 - x^2 < -1/2 or 1 - x^2 > 1/2
~Simplify
x < -√3/2, x > √3/2, or -√1/2 < x < √1/2
Best of Luck!
evaluate the expression when x=3
Answer:
3. 15
6. 4
Step-by-step explanation:
Put 3 instead of x
3. 5x
= 5 × 3
= 15
6. 12 ÷ x
= 12 ÷ 3
= 4
Answer:
When X is 3 it will be
5(3)=15
Then for the second one it will be 12/3
The answer is 4
Hope I helped
What is the volume of the right rectangular prism?
a) 21cm^3
b) 42cm^3
c) 120cm^3
d) 240cm^3
Answer:
c part is correct answer
Answer: D) 240 cm^3
Step-by-step explanation:
On edge
18. Solve x^2+ 6x - 16 = 0 by completing the square.
Please give detailed steps!!
Answer:
x1 = -8, x2= 2
Step-by-step explanation:
1. Write 6x as a difference
= x^2 + 8x - 2x - 16 = 0
2. Factor the expressions
= x ( x + 8 ) - 2x - 16 = 0
= x ( x + 8 ) - 2 ( x + 8 ) = 0
Factor out x + 8 from the expression
= ( x + 8 ) ( x - 2 ) = 0
3. When the product of factors = 0, at least one factor is 0
x + 8 = 0
x - 2 = 0
4. Solve the equation for x
x = - 8
x = 2
Therefore, the equation has 2 solutions :
x1 = -8, x2 = 2
if p(x) = 6x³ + 5x² + 7x - 5, find the coefficient of x³
Answer:
6x
Step-by-step explanation:
because in front of x^3 there is 6x and also the qn has asked to find the coefficient of x^3
Answer:
It is 6
Step-by-step explanation:
take an example:
[tex]a {x}^{3} + {bx}^{2} + cx + d[/tex]
a, b, and c are coefficients of x³, x², and x respectively.
d is a constant.
Which of the following is a basic equation?
A.b + 3 = 5
B.O (2, 3)
C .O y-axis
D .3+6
Answer:
A. b + 3 = 5[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
John is playing a game with a standard deck of playing cards. He wants to draw a jack on the first try. Which of the following statements is true?
a. The probability that John draws a jack on the first try is 1/13. If John replaces the card, re- shuffles, and draws again, the probability that he will pull another jack increases.
b. The probability that John draws a jack on the first try is 3/13. If John replaces the card, re- shuffles, and draws again, the probability that he will pull another jack stays the same.
c. The probability that John draws a jack on the first try is 1/13. If John replaces the card, re- shuffles, and draws again, the probability that he will pull another jack decreases.
d. The probability that John draws a jack on the first try is 1/13. If John replaces the card, re- shuffles, and draws again, the probability that he will pull another jack stays the same.
Answer:
d
Step-by-step explanation:
It is a 1/13 chance but even if you shuffle and replace it, its still a 1/13 chance.
The probability that John draws a jack on the first try is 1/13. If John replaces the card, re-shuffles, and draws again, the probability that he will pull another jack stays the same. Hence, statement d is correct.
What do we mean by the probability of an event?The probability of an event is the ratio of the number of favorable outcomes to the event to the total number of outcomes for the experiment.
If we have an event A, the number of favorable outcomes to event A is n, and the total number of outcomes in the experiment is S, then the probability of the event A is given by,
P(A) = n/S.
How do we solve the given question?We are given that John is playing a game with a standard deck of playing cards.
We are said that he wants to try to draw a jack on the first try.
Let the event of drawing a jack be A.
The number of outcomes favorable to the event A (n) = 4 (number of jacks)
The total number of outcomes in the experiment of drawing a card (S) = 52 (the total number of cards)
∴ The probability of the event A is given by,
P(A) = n/S = 4/52 = 1/13.
∴ The probability of drawing a jack on the first try is 1/13.
When he replaces the card and re-shuffles it, the probability will be the same as the number of favorable outcomes and the total number of outcomes remains the same.
∴ The probability that John draws a jack on the first try is 1/13. If John replaces the card, re-shuffles, and draws again, the probability that he will pull another jack stays the same. Hence, statement d is correct.
Learn more about the probability of an event at
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Assume that an investment of $3000 earns an APR of 6% compounded monthly for 18 months.
How much money is in your account after 18 months?
9514 1404 393
Answer:
$3281.79
Step-by-step explanation:
The compound interest formula is ...
A = P(1 +r/n)^(nt)
where A is the balance resulting from investment of P at annual rate r compounded n times per year for t years.
We have P=$3000, r=0.06, n=12, t=1.5, so the account balance is ...
A = $3000(1 +0.06/12)^(12·1.5) = $3000(1.005^18) ≈ $3281.79
There will be $3281.79 in the account after 18 months.