[tex]y = 3x-2\\\\~~~=3(-5) -2\\\\~~~= -15-2\\\\~~~= -17[/tex]
Answer:
y = -17
Step-by-step explanation:
Given values :
⇒ x = -5
Let's substitute in the expression to find y :
⇒ y = 3(-5) - 2
⇒ y = -15 - 2
⇒ y = -17
Suzy drove to a hair appointment at 50mph. Her average speed on the return home was 40mph. The return home took 1/4hr longer because of heavy traffic. How far did she travel to her hair appointment?
Since Suzy return took 1/4 hr longer, how far Suzy travelled to her appointment is 50 mi
To answer the question, we need to know what distance travelled by Suzy is
Distance between Suzy's home and hair appointmentThe distance between Suzy and her appointment is d = vt where
v = Suzy's speed = 50 mph and t = time it takes to teach her appointment.So, d = 50t (1)
Now, since Suzy returns home at a speed of v' = 40 mph and takes her 1/4 hr longer to return home,her return time is , t' = (t + 1/4) h
Since the distance she ruturns home is the same, we also have that
d = v't'
= 40(t + 1/4) (2)
Equating (1) and (2), we have
50t = 40(t + 1/4)
50t = 40t + 10
50t - 40t = 10
10t = 10
t = 10/10
t = 1 hr
How far Suzy travelled to her appointmentSubstituting t = 1 into d = 50t, we have
d = 50(1)
d = 50 m
So, how far Suzy travelled to her appointment is 50 mi
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The original price of the bedroom set is 2850. Since they are opening a credit card, they receive 15% off. What is the new price of the bedroom set
Answer:
$2,422.50
Step-by-step explanation:
$2,850- 15% (427.5)= 2422.5
You could also multiply $2850 * 0.85= $2,422.5
What is the value of x in the triangle?
Answer:
3 = x
Step-by-step explanation:
Well, the two unknown sides share the same size due to the same angle, so now, using the fact we only have the info about one side, we need to do a reverse pythagorean theorem.
[tex]c^{2} = a^{2} + b^{2}[/tex]
Our a and b are the same, so I will change them to "x" and combine them.
[tex]c^{2} = 2(x)^{2}[/tex]
Now we plug in our "c" and square it ("C" in this case is: [tex]3\sqrt{2}[/tex] )
[tex]18 = 2(x)^{2}[/tex]
[tex]9 = x^{2}[/tex]
3 = x
14. A unfair coin has the probability of heads
3 / 8
and the probability of tails
5 / 8
. What is the probability
of tossing three heads in a row? Of tossing two heads followed by one tail? Of tossing two heads and one
tail in any order?
Answer :
the probability of tossing three heads in a row
[tex]=\left( \frac{3}{8} \right)^{3} =\frac{27}{512} =0.052734375[/tex]
…………………………………………
the probability of tossing two heads followed by one tail
[tex]=\left( \frac{3}{8} \right)^{2} \times \left( \frac{5}{8} \right) =\frac{45}{512}[/tex]
……………………………
the probability of two heads and one tail in any order
[tex]=3\times \left( \frac{3}{8} \right)^{2} \times \left( \frac{5}{8} \right) =\frac{135}{512}[/tex]
Which of the following is both a natural and manmade contributor to the greenhouse effect and warming of our planet?
A. Nuclear radiation
B. Atmospheric radiation
C. Nitrogen footprint
D. Carbon cycle
Find the Area and circumference of each circle below.
Answer:
2: area is ≈153.93804 and circumfrence is ≈43.9823
3: area is ≈706.85835 and circumfrene is ≈94.24778
Step-by-step explanation:
The formula for area is A = pi r^2
for 2 you would plug 7 in for r, then square it, then multiply it by pi.
for 3 you would divide the diameter, 30, by 2 to get r (15), then square it then multiply by pi.
The formula for cirumfrence is C = 2 pi r
for 2 you would multiply 7 by 2, then multiply that by pi
for 3 you dont need to do much since the diameter (30) is already 2r. Basically all you need to do for that one is multiply 30 by pi
I really need help on this
Answer:
y=4
Step-by-step explanation:
steps
3×9+4y=43
4y=43-27
4y=16
Divide both side by 4
4y/4=16/4
y=4
In the figure shown, which is the value of y?
(3x)
(x)⁰
(2y)°
(2y)°
Answer: y = (x/2)°
Step-by-step explanation:
The two angles are because they are opposite angles.
Which ordered pair is a solution of the equation?
4x -1 = 3y + 5
(2,3)
(3,2)
(1,1)
(9,10)
Answer:
(3, 2)
(9, 10)
Step-by-step explanation:
Ordered pairs (3, 2) and (9, 10) is the solution of the equation 4x -1 = 3y + 5
4x -1 = 3y + 5 (given)Lets us check for (3, 2)L.H.S. = 4x - 1 = 4(3) - 1 = 12 - 1 = 11 (plug x = 3)R.H.S. = 3y + 5 = 3(2) + 5 = 6 + 5 = 11 (plug y = 2)-> L.H.S. = R.H.S.-> Ordered pair (3, 2) is a solution of the given equation.Similarly, ordered pair (9, 10) is also a solution of the given equation because L.H.S and R. H.S. are equal to 35 on plugging x = 9 and y = 10.Type the correct answer in each box.
A circle is centered at the point (-3, 2) and passes through the point (1, 5). The radius of the circle is ____? units. The point (-7, __?) lies on this circle.
Answer:
the answer is 5 and (-7,5)
Step-by-step explanation:
The radius is 5, and the points (-7, 5) and (-7, -1) both lie on the circle.
Given that:
The points at which the circle is centered are (-3,2)
Passing points = (1,5)
The radius is calculated using the distance formula:
d = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex]
Substituting the coordinates, we have:
d =[tex]\sqrt{({1 - (-3))^2 + (5 - 2)^2[/tex]
= [tex]\sqrt{(1 + 3)^2 + (5 - 2)^2[/tex]
=[tex]\sqrt{(4^2 + 3^2)[/tex]
= [tex]\sqrt{(16 + 9)[/tex]
= 5
Therefore, the radius of the circle is 5 units.
The equation of a circle with center (h, k) and radius r is given by:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
Substituting the values, we have:
[tex][-7 - (-3)]^2 + (y - 2)^2 = 5^2[/tex]
[tex](-7 + 3)^2 + (y - 2)^2 = 25[/tex]
[tex](-4)^2 + (y - 2)^2 = 25[/tex]
[tex]16 + (y - 2)^2 = 25[/tex]
[tex](y - 2)^2 = 9[/tex]
Taking the square root of both sides, we have:
y - 2 = ±3
Solving for y, we have two possible values:
y - 2 = 3
y = 5
y - 2 = -3
y = -1
The points (-7, 5) and (-7, -1) both lie on the circle.
Thus, the radius is 5, and the points (-7, 5) and (-7, -1) both lie on the circle.
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If a = 11 cm, b = 29 cm, c = 15 cm, and d = 17 cm, what is the area of the poster?
Answer:
multiply them all together
For Halloween, Sue wears a monocle that, its packaging claims, has a circumference of
18.212 centimeters. What is the monocle's radius?
Use 3.14
the measure of the radius is 2.9
x2 + 4x + 7 is a Monomial
The given polynomial x² + 4x + 7 is not a monomial it is a trinomial because there are three terms which is x², 4x, and 7.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have given a polynomial:
x² + 4x + 7
As we know, the monomial has only one term.
The binomial has two terms.
The trinomial has three terms.
As we can see in the given polynomial there are three terms which is x², 4x, and 7.
Thus, the given polynomial x² + 4x + 7 is not a monomial it is a trinomial because there are three terms which is x², 4x, and 7.
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14 boys and 16 girls in class
What is the ratio of girls to the total number of students in class? Write ratio in 3 ways
Answer:
1) 16 : 30
2) 8 : 15
3) [tex]\displaystyle \frac{8}{15}[/tex]
Step-by-step explanation:
Boys = 14
Girls = 16
Total students:
= 14 + 16
= 30
Ratio of Girls to total number of students in class:
= 16 : 30
÷2 ÷2
= 8 : 15
= [tex]\displaystyle \frac{8}{15}[/tex]
[tex]\rule[225]{225}{2}[/tex]
1
James purchases a rare coin for $450. The coin appreciates at a rate of 1.2% each year. How much will the coin be worth after 25 years?
The bottom of a circular swimming pool with a diameter of 40feet is made up of blue tiles . How many square feet is that
Answer:
radius = 40 / 2 = 20ft
Circle area = πr² = π × 20² = 1256.6 sq. ft
Can you help me please
From the figure given above, angel < ABE = 40°
Calculation of unknown angleThe angle of a straight line = 180°
That is angle <ABC = 180°
If <EBC is = 140°
Therefore, <ABE = 180 - 140
= 40°
Therefore, from the figure given above, angel < ABE = 40°
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PLEASE EXPLAIN I NEED THIS
Sophia is 12 years old. Her Uncle Reynald tells her that if she adds 5 to her age, multiplies the sum by 3, and then subtracts 4 from the product, she will find his age. She tells him that his age equals the expression 12 + 5 × 3 − 4 . Is Sophia correct? Choose the correct answers from the drop-down menus. Sophia is Choose... . Her uncle's actual age is Choose... .
Answer:
Yes, Sophia is correct
Step-by-step explanation:
The expression is correct and if you solve it, you get 23 which should be her uncle's age.
Which of these ordered pairs is a solution to the linear inequality 3y – 2x ≥ 8?
(3, 1)
(1, 3)
(2, –4)
(–4, 2)
Answer:
(-4 , 2)
Step-by-step explanation:
Linear inequality:3y - 2x ≥ 8
The ordered point (-4 ,2) satisfies the inequality. So, (-4,2) is the solution for the equation.
3*2 - 2*(-4) ≥ 8
6 + 8 ≥ 8
14 ≥ 8
How many students were surveyed?
Answer:
20
Step-by-step explanation:
count the dots
Answer:
20 students
Step-by-step explanation:
You just need to count the number of dots.
hope this helps
have a good day
Select the reason why these triangles are
similar. If they are not, select "Not similar."
2.5
1
0.5
2.25
A. AA
B. SAS
C. SSS
D. Not similar
Answer:
D
Step-by-step explanation:
1/2 is not equal to 1/2.5 is not equal to 0.5/2.25.
CAN ANYONE PLEASE HELP!’
Answer:
130 cm³
Step-by-step explanation:
Volume of the pyramid = 1/3 × base area × height
Calculating base area;
Area = length × width
= 8 × 7
= 56 cm²
Now, Volume = ⅓ × 56 × 7
= ⅓ × 392
= 130.6 cm³.
please help now. I will give brainly and 100 points!
Suppose a soup can has a height of 6 inches and a radius of 2 inches. In terms of π, how much material is needed to make each can?
A) 21π in²
B) 32π in²
C) 35π in²
D) 40π in²
Answer:
Volume in terms of pi is 24
Step-by-step explanation:
formula for volume is pi x radius squared x height
3.14 x [tex]2^{2}[/tex] x 6=
75.36 then divide by pi
75.36/3.14=24pi in[tex]^{2}[/tex]
Find the area of each. Round your answer to the nearest tenth. 28) 2.6 cm
Answer:
Here is the answer...hope it helps
Simplify (2x^2y)^5. This needs to be simplified
Answer:
32x^10y
Explanation -
You want to use distributive property. Take 2x^5 and the Exponent 2y^5
It should look like this
Find the fourth derivative of f(x) = 3x^-1 ƒ(4) (x) =
[tex]f(x) = 3x^{-1}\\\\f'(x) = 3(-1) x^{-1-1} = -3x^{-2}\\\\f''(x) = -3(-2)x^{-2-1} = 6x^{-3}\\\\f'''(x) = 6(-3)x^{-3-1}=-18x^{-4}\\\\f''''(x) = -18(-4)x^{-4-1} = 72x^{-5}[/tex]
[tex]\text{The fourth derivative of f(x) is}~ 72x^{-5}.[/tex]
How do I solve this ?
Answer:
The theoretical probability of rolling a 4 on any given roll for a six-sided die is [tex]\frac{1}{6}[/tex], The experimental probability of rolling a 4 is [tex]\frac{6}{25}[/tex].
Step-by-step explanation:
1. Answer the following questions on the number given below. 12,34 761 (a) What is this number called?
Step-by-step explanation:
one million, two hundred thirty-four thousand, seven hundred sixty-one
A cheetah runs at a speed of 58 miles for every hour. If the distance traveled, in miles, is d and time, in hours, is t, which equation shows the relationship between d and t?
t = 58 + d
d = 58 + t
t = 58d
Answer:
I dont see a correct answer but
D= 58t