We want to find the solution for the system of linear equations such that we know some points of the lines. We will see that the correct option is A: (-7, 4).
Systems of linear equations.
When we have a system of equations the solutions are the points where the graphs of the equations intercept.
Here we know that we have two lines:
Line A passes through (-7, 4) and (3, - 10)Line B passes through (-7, 4) and (5, 11).So we already can see that both lines pass through the point (7, -4), meaning that the lines do intercept at that point, so the solution of the system is that point (we know that we don't have more solutions because lines intercept only once).
So the correct option is A: (-7, 4)
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Find the unknown. = (65 × 3) + 9
There are 24 students 8 of the students are boys write the amount of boys in the class as a fraction in its simplest form
6×2900÷3 what is that squared and why will it be that number
Which measurement would Rachel need to know when ordering wallpaper for the kitchen?
A.
the total perimeter of wall space to be covered
B.
the total area of wall space to be covered
C.
the thickness of the wallpaper
D.
the perimeter of the wallpaper
I need these all questions is for a grade
Which of the following situations most likely result in a negative correlation when the data is displayed on a scatterplot?
Kamila has two number cubes each labeled 1 to 6. She is going to conduct an experiment by tossing both cubes a total of 150 times. She will find the sum of the two numbers in each role
a. Possible outcomes? __________
b. Probability of tossing a sum of six? _________
c. How many times should Kamila toss a sum of 7? _________
d. How many times should Kamila toss a sum of 10 or greater? _______
Answer:
Step-by-step explanation:
a) When two number cubes are thrown possible outcomes are
[tex]6x6 =36[/tex]
b) Probability of tossing a sum of 6
Favourable outcomes = (1,5)(5,1)(2,4) (4,2) (3,3)
Hence probability =[tex]\frac{5}{36}[/tex]
c) For getting 7 favourable outcomes are
(1,6)(2,5)(3,4)(4,3)(5,2)(6,1)
i.e one out of 6 chances.
Hence in 150 times Kamala should toss a sum of 7 --- [tex]\frac{1}{6} *150 =25[/tex]
d) Favourable outcomes for sum of 10 or greater
= (4,6) (6,4) (5,5) (5,6)(6,5)(6,6)
Probability for getting sum of 10 or greater = [tex]\frac{6}{36} =\frac{1}{6}[/tex]
No of times Kamila should toss 10 or greater
= [tex]\frac{150}{6} =25[/tex]
simplify the imaginary number (square root symbol) -8
use the graph of y=sin0 to find the value of sin 0 for each value of 0 270°. answers -0.4, -0.8, -0.6, -1 please help ASAP
How do you find the area of this compound shape?
what is the radius of a circle with a circumference 31 m?
Answer: 62 pi m.
Step-by-step explanation: To find the area of the circle shown, let’s start by writing down the formula for a circle.
what is (3x-4)^2 in expanded form
The expanded form of the given mathematical expression is [tex]3x^2 -24 +16[/tex].
Given the following expression:
[tex](3x-4)^2[/tex]To write this mathematical expression in an expanded form:
In this exercise, you're required to write the given mathematical expression in an expanded form. Thus, we would expand the expression by applying the perfect-square trinomial.
The perfect-square trinomial.Mathematically, the perfect-square trinomial is given by this mathematical expression:
[tex](a+b)^2=a^2+2ab +b^2[/tex]
Comparing the expressions, we have:
a = 3xb = -4Substituting the values, we have:
[tex](3x-4)^2=3x^2+2(3)(-4) +(-4)^2\\\\(3x-4)^2=3x^2-24 +16[/tex]
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Which is the simplified form of the expression (2^-2) (3^4)^-3 x (2^-3) (3^2) ^2?
A: 1/ 2^36 3^48
B: 1/ 3^8
C: 3^8
D:2^36 3^48
The answer is D
Just took the test
plz help 1:There are 15 people in a book club. Ten people read for an average of 65 minutes each day. The remaining people read for an average of 35 minutes each day.
What was the average reading time for the entire book club each day?
Enter your answer in the box.
2:At the karate school, Class A has 8 students with an average age of 6 years. Class B has 12 students with an average age of 9 years. The classes combine for a group workout.
What is the average age of the combined classes?
Enter your answer as a decimal in the box.
3:Last year the sales at a bookstore were 75% fiction books, and 25% nonfiction books.
The average cost of a fiction book was $15. The average cost of a nonfiction book was $16.
What was the average cost of all fiction and non-fiction books sold at the bookstore last year?
Enter your answer as a decimal in the box.
4: At a tennis event, 10% of
The area of the base of the regular quadrilateral pyramid is 36 cm2 and the area of a lateral face is 48 cm2. Find: Surface area of the pyramid
Answer:
228
Step-by-step explanation:
Find the range of the relation.
A.) {–4, –2, –1, 2}
B.) {–4, 4}
C.) {–3, –2, 0, 2}
D.) {–4, –2, –1, 0, –2}
Lori is buying a roll of wrapping paper. There are 10 birthday designs, 6 holiday designs, 3 wedding designs, and 5 baby designs. How many ways can Lori choose a roll of wrapping paper? A. 900 B. 300 C. 34 D. 24
Answer:
D. 24
Step-by-step explanation:
10 + 6 + 3 + 5 = 24
Answer:
24
Step-by-step explanation:
Ana helped her mom this weekend. She earned $25. On Monday she purchased snacks for herself and her friends and spent $6.50. On Tuesday she purchased comic books and a flashlight at Target for $15.25. She then purchased a drink for $3.25.
How much money does she have left? Explain.
Ellie is a 45-year-old woman who has not yet planned for retirement. She would like to retire at age 67. Answer each question using complete sentences.
Part I: In what type of investments should Ellie deposit her money? Why?
Part II: At what age, or point in your life, would you like to start saving for retirement?
Part III: In what type of investments would you like to deposit your money into when you start saving for retirement? Why?
solve this equation using the radical equation method
A rectangle with opposite sides that are not congruent
Hannah made 0.7 of her free throws in a basketball game.Abra made 8/10 of her free throws.Dena made 3/4 of her free throws.Who was the best shooter?
BRAINLIEST if correct
Does the median or mean better represent the data? And why? {20,28,35,40,132}
What does this mean???
Write the fractional equivalent (in reduced form) to each number.
0.3
0.125
0.16
0.1
0.6
0.2
0.75
Answer:
0.3=1/3
0.125=1/8
0.16=1/6
0.1=1/10
0.6=2/3
0.2=1/5
0.75=3/5
hope this helps sorry if it dont please give me brainlest im new
The fractional equivalent 3/10, 1/8, 4/25, 1/10, 3/5, 1/5 and 3/4 which will Rational Number.
Numbers that may be expressed in the form p/q, where p and q are integers and q0, are considered rational numbers. Because fractions cannot have a negative numerator or denominator, they differ from rational numbers in this respect. Because of this, the numerator and denominator of a fraction are whole numbers (denominator 0), unlike in the case of rational numbers, when they are both integers.
So to convert a fractional to reduce form we have to divide by 10 to power how many digits thereafter decimal point, and make sure that numerator or denominator doesn't have common divisible.
.3 = 3/10
.125 = 125/1000 = 1/8
.16 = 16/100 = 4/25
.1 = 1/10
.6 = 6/10 = 3/5
.2 = 2/10 = 1/5
.75 = 75/100 = 3/4
Hence the answers will be 3/10, 1/8, 4/25, 1/10, 3/5, 1/5 and 3/4 in the rational p/q form.
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What is the distance between -10 and 25 on a number line?
A) -35
B) -15
C) 15
D) 35
solve the equation of 4 (3q-2)=16q
The solution of expression for value of q is,
⇒ q = - 2
We have to given that,
An equation to simplify,
⇒ 4 (3q - 2) = 16q
Now, We can solve the expression for q as,
⇒ 4 (3q - 2) = 16q
Divide both side by 4;
⇒ 4 (3q - 2) /4 = 16q / 4
⇒ (3q - 2) = 4q
Subtract 3q both side,
⇒ 3q - 2 - 3q = 4q - 3q
⇒ - 2 = q
⇒ q = - 2
Therefore, The solution is,
⇒ q = - 2
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A mirror frame in the shape of an oval is shown below. The ends of the frame form semicircles: An oval is formed by a rectangle with semicircles at each end. The length of the rectangle is 54 inches. The width of the rectangle is 27 inches. Which of the following is the perimeter of the inner edge of the frame? (π = 3.14) 192.78 inches 246.78 inches 277.56 inches 331.56 inches
Answer:
The answer is 192.78 inches
Step-by-step explanation:
An oval is formed by a rectangle with semicircles at each end. We can visualize this easily.
The length of the rectangle is 54 inches.
The width of the rectangle is 27 inches.
The perimeter of rectangle is = [tex]2(L+W)[/tex]
= [tex]2(54+27)[/tex]
= 162 inches
And because there are two semicircles, we can combine them to form a circle. So, perimeter of a circle is called a circumference.
The width of the rectangle forms the diameter, so its half will be the radius.
r = [tex]\frac{27}{2}=13.5[/tex]
The circumference is given by : [tex]2\pi r[/tex]
= [tex]2\times3.14\times13.5=84.78[/tex] inches
Now as the described oval shape is a complete figure without lines inside, we will subtract the width of both sides of the rectangle from the complete perimeter.
The complete perimeter is = [tex]162+84.78=246.78[/tex] inches
The inner edge perimeter will be = [tex]246.68-2(27)[/tex] = 192.78 inches
Find the area of a triangle bounded by the y-axis, the line
f(x) = 34 − 4 x,
and the line perpendicular to "f" that passes through the origin.
The function rule for the following graph is y = 2x + 2. What is the value of y in the ordered pair (2, y)? 24 4 10 6