A number is multiplied by 9 , and that product is added 3. The sum is equal to the product of 3 and 7 . Find the number.
Answers
Answer:
The unknown number is 2.
Step-by-step explanation:
Let x represent the unknown number.
It is multiplied by 9 then added to 3. Hence, it can be represented by the expression:
[tex]9x + 3[/tex]
The sum is equal to the product of 3 and 7, or 21. Therefore:
[tex]9x + 3 = 21[/tex]
Solve for x. Subtract 3 from both sides:
[tex]9x = 18[/tex]
And divide both sides by 2. Hence:
[tex]x = 2[/tex]
In conclusion, the unknown number is 2.
the number is 2
Related Questions
Find the root(s) or zero(s) of the function.
Answers
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]
What is the LCM for 18,24
Answers
Answer:
I think the LCM is 72 for 18 and 24
Answer:
hope it helps you........
Plz help me W/ theses with steps
Answers
Answer:
68 blue marbles are there.
Answer:
Blue marbles are 100.
Step-by-step explanation:
Number of red marbles=252 × 2/7
Number of red marbles=72
Remaining marbles=252-72
Remaining marbles=180
Now,
Number of green marbles=180×4/9
Number of green marbles=80
Reaminng marbles which are blue=100-80
=100
If you have any questions about it let me know.
I need help please please help me )):
Answers
Answer:
ok bro I will help you don't worry
Somebody please help me solve this question. If possible with the explanation as well. Calculate
| 1-x^2 | > 1/2
Answers
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!
Combine Like Terms
4. Which expression is equivalent to -9 + 8y + 12 - (-2y) + 1 ?
14y
10y
4+6y
10y+4
Answers
Answer:
10y + 4
Step-by-step explanation:
-9 + 8y + 12 - (-2y) + 1
-9 + 8y + 12 + 2y + 1
8y + 2y - 9 + 12 + 1
10y + 4
What is the volume of the right rectangular prism?
a) 21cm^3
b) 42cm^3
c) 120cm^3
d) 240cm^3
Answers
Answer:
c part is correct answer
Answer: D) 240 cm^3
Step-by-step explanation:
On edge
if p(x) = 6x³ + 5x² + 7x - 5, find the coefficient of x³
Answers
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
Answers
Answer:
A. b + 3 = 5[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
help pls, i dont get this :(
Answers
Answer:b. a deposit of $278 followed by a withdrawal of $278
Step-by-step explanation:
use a calculator
Abigail stays after school for chess club practice. Everyone is in the mood for a snack, so they buy bags of pretzels from the vending machine for $0.95 each. If the club members buy 6 bags of pretzels, how much do they pay in all?
Answers
Answer:
5.70
Step-by-step explanation:
Take the price per bag and multiply by the number of bags
.95 * 6 =5.70
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.
Answers
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:
https://brainly.com/question/17194874
Please help me with number 2?
Answers
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
The number 10 lies between what two integers?
Answers
Answer:
9 and 11
Step-by-step explanation:
9 and 11 are before and after 10. so, 10 lies between them.
Simplify -4+8-2 and 8-(-3)-5
Answers
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]
(1/5) ³
evaluate
pls help :)
Answers
0.008
1/5 x 1/5 x 1/5
:3
The area of this shape is 24 square units. Which of these statements is true about the area ?
Answers
Because the area of an object is number of square units or square grids inside the shape.
Answer:
D.
Step-by-step explanation:
If 18 drinks cost £54, how much will 7 drinks cost ?
Answers
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
An alphabetic character representing a number
Answers
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 solve this question i need help
Answers
Answer:
4c/2a 60 degrees 3bf 2ad
Answer:
f=120
b=40
d=140
e=120
c=30
a=30
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
Answers
Step-by-step explanation:
[tex]its \: your \: answer \: I \: hope \: it's \: help \: you \: \\ dear[/tex]
Simplify the expression. 3(7) – 3(3)
Answers
Answer:
[tex]12[/tex]
Step-by-step explanation:
[tex]3\times 7-3\times 3[/tex]
This term's numerical factors have been multiplied:-
[tex]=12[/tex]
OAmalOHopeO
To pay for a 15,300 car, Tony made a down payment of $3900 and took out a loan for the rest. On the loan , he paid monthly payment payment of $252.34 for 4 years.
Answers
Answer:
a. $24,512.32
b. $712.32
Step-by-step explanation:
a. A price of car $15,300, Tony made a down payment of $3900 so car has $11,400 left of a price and took out a loan.
He paid monthly payments of $252.34 for 4 years. Which mean $252.34 is paid for 48 months, multiplication $252.34 and 48 are $12,112.32. So we have monthly payments is $12,112.32
The total amount Tony ended up for the car is $11,400 + $12,112.32 = $24,512.32
b. The interest Tony pay on the loan is $12,112.32 - $11,400 = $712.32
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.
Answers
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
https://brainly.com/question/7965468
#SPJ2
Please let me know fast
Answers
Answer:
b) 0
Step-by-step explanation:
[tex]a(b-c)+b(c-a)+c(a-b)\\\\ab-ac+bc-ba+ca-cb\\\\0[/tex]
A radio telescope has a parabolic surface, as shown below.
A parabola opening up with vertex at the origin is graphed on the coordinate plane. The height of the parabola from top to bottom is 9 meters and its width from left to right is 12 meters.
If the telescope is 9 m deep and 12 m wide, how far is the focus from the vertex?
Answers
Because the roots of the equation are 0 and 12, we know the formula is therefore of the form
y = ax(x - 12), for some a
So put in x = 6
-9 = 6a(-6)
9 = 36a
a = 1/4
So the parabola has a curve y = x(x-12) / 4, which can also be written y = 0.25x² - 3x
The gradient of this is dy/dx = 0.5x - 3
The key property of a parabolic dish is that it focuses radio waves travelling parallel to the y axis to a single point. So we should arrive at the same focal point no matter what point we chose to look at. So we can pick any point we like - e.g. the point x = 4, y = -8
Gradient of the parabolic mirror at x = 4 is -1
So the gradient of the normal to the mirror at x = 4 is therefore 1.
Radio waves initially travelling vertically downwards are reflected about the normal - which has a gradient of 1, so they're reflected so that they are travelling horizontally. So they arrive parallel to the y axis, and leave parallel to the x axis.
So the focal point is at y = -8, i.e. 1 metre above the back of the dish.
. What is the total cost of 6 books at N8.50k each?
Answers
Answer:
51
Step-by-step explanation:
1 book= N8.50
therefore 6 books= N8.50 × 6 = N51
Which statement best describes the relationship between the two figures?
Answers
Answer:
The congruency of triangle is the statement that describes the relationship between two figures Step-by-step explanation:
In △PQR, sinQ=25, sinR=13, and q=6. Find the side length r.
Can someone please help
Answers
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
In a mathematics class , half of the students scored 84 on an achievement test. With the exception of a few students who scored 50 , the remaining students scored 76. Which of the following statements is true about the distribution of scores ?
A. The mean is greater than the mode.
B. The mean and the median are the same.
C. The mean is less than the median.
D. The mean is greater than the median.
Answers
Answer: B. The mean is less than the median
Step-by-step explanation:
there are some that scored 51 which means - mean<median
