Hi there!
»»————- ★ ————-««
I believe your answer is:
d – 22 ≥ 28
d ≥ 50
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Information Given:}}\\\\d - \text{Initial amount of money}\\\\\text{22 dollars was spent, and there are 'at least' 28 dollars left.}[/tex]
⸻⸻⸻⸻[tex]\boxed{\text{Setting up an inequality:}}\\\\\text{22 dollars was spent from the initial amount, 'd'.}\\\\d - 22\\\\\text{There are \textbf{at least} 28 dollars left. "At least" indicates a \underline{greater than or equal to} sign.}\\\\\rightarrow \boxed{d-22\geq 28}[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{Solving the inequality:}}\\\\d - 22\geq 28\\-------------\\\rightarrow d - 22 + 22 \geq 28 + 22\\\\\rightarrow \boxed{d \geq 50}[/tex]
⸻⸻⸻⸻
[tex]\text{Your answer should be: }\boxed{d-22\geq 28; \text{ }d \geq 50}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Given the table below, determine which type of equation best models the data and use a calculator to find an equation of best fit.
Answer:
Hello,
Step-by-step explanation:
Best fit: quadratic y=5.3x²-9.3+6.1
with an total error of 0.4
Given the function h(x) = x^2 + 10x + 32, determine the average rate of change
of the function over the interval 3 < x < 11.
================================================
Explanation:
Plug in x = 3 to get
h(x) = x^2 + 10x + 32
h(3) = 3^2 + 10*3 + 32
h(3) = 71
Repeat for x = 11
h(x) = x^2 + 10x + 32
h(11) = 11^2 + 10*11 + 32
h(11) = 263
Now use the average rate of change formula
m = average rate of change
m = ( h(b) - h(a) )/(b - a)
m = ( h(11) - h(3) )/(11 - 3)
m = (263 - 71)/(11 - 3)
m = 192/8
m = 24
In the figure, ABC and DEF are similar. What's the scale factor from ABC to DEF?
(pls show how you got the answer)
Answer:
3
Step-by-step explanation:
The scale factor of ABC to DEF is the number you need to multiply a corresponding side of ABC to get one of DBC. We are given the two triangles are similar, so we can say that sides AB and DE are proportional. We are looking for the number we need to multiply AB by to get DE. From this relation, we can get the equation:
AB * x = DE
where x is our scale factor. We can substitute in the values of AB and DE, and solve for x:
5x = 15
x = 3
Therefore, the scale factor is three. This means that you can multiply any side of ABC by 3 to get a side of DEF.
can i get some help please
Answer:
28.26
Step-by-step explanation:
We want to find the area of the circle shown.
We can calculate the area of a circle using the formula A = πr²
where r = radius
The circle shown has a given diameter of 6
We want the radius.
To convert diameter to radius simply divide the measure of the radius by 2
So radius = 6 / 2 = 3
Now to find the area we simply plug in the value of the radius into the area of a circle formula
Area of a circle: A = πr²
r = 3
( Note that the question says to use 3.14 for π )
So π = 3.14
* Substitute values *
A = (3.14)(3)²
3² = 9
(3.14)(9) = 28.26
A = 28.26
And we are done!
7(8+a)=189 please help and give me step by step
Answer: a = 19
Step-by-step explanation:
Given
7 (8 + a) = 189
Divide 7 on both sides
7 (8 + a) / 7 = 189 / 7
8 + a = 27
Subtract 8 on both sides
8 + a - 8 = 27 - 8
a = 19
Hope this helps!! :)
Please let me know if you have any questions
Function f is graphed. According to the graph, is f even, odd, or neither?
Answer:
C
Step-by-step explanation:
f is neither even nor odd
Staff
Americans eat 7 billion hot dogs between Memorial Day and Labor Day. If all these hot dogs were laid end to end they
would circle the earth 21.5 times. If the circumference of the Earth is approximately 24,860 miles, and one mile is
5,280 feet, find the length (in inches) of each hot dog. (Round your answer to the nearest tenth)
Answer:
The length of each hot dog is 0.5000 inches.
Step-by-step explanation:
Total number of hot dogs eaten = 7 000 000 000
Circumference of the earth = 24 860 miles
21.5 times the circumference of the Earth = 21.5 x 24 860 miles
= 534490 miles
But,
1 mile = 5280 feet
So that,
534490 miles = X
X = 5280 x 534490
= 287707200 feet
Also,
1 feet = 12 inches
Then,
287707200 feet = Y
Y = 12 x 287707200
= 3452486400 inches
Thus,
the length of each hot dog = [tex]\frac{3452486400}{7000000000}[/tex]
= 0.4932
The length of each hot dog is 0.5000 inches.
Last night, the two dinner specials at Will's favourite restaurant were salmon fillet and steak. The restaurant served 15 salmon fillets and 5 steaks. What percentage of the specials served were salmon fillets?
Answer:
75% of the specials served were salmon fillets
Step-by-step explanation:
We have that:
15 + 5 = 20 specials were served.
Of those, 5 were salmon fillets.
What percentage of the specials served were salmon fillets?
15*100%/20 = 75%
75% of the specials served were salmon fillets
factorize: xy-3x - 5y + 15
Answer:
Step-by-step explanation:
xy-3x-5y+15
x(y-3)-5(y-3)
(y-3)(x-5)
rachel rides her bicycle due east at 9 miles per hour amos rides his bicycle due north at 12 miles per hour if they left from the same point at the same time how far apart will they be after 1 hour
The distance between Rachel and Amos after one hour is 15 miles.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Distance travelled by Rachel after one hour = 9 mph * 1 h = 9 miles
Distance travelled by Amos after one hour = 12 mph * 1 h = 12 miles
Let x represent the distance between Rachel and Amos, hence:
x² = 9² + 12²
x = 15
The distance between Rachel and Amos after one hour is 15 miles.
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Using the Pythagorean Theorem, they will be 15 miles apart after one hour.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
For this problem, considering their directions, their distance is the hypotenuse of a right triangle of legs 9 miles and 12 miles, hence:
[tex]d^2 = 9^2 + 12^2[/tex]
[tex]d = \sqrt{9^2 + 12^2}[/tex]
d = 15 miles
More can be learned about the Pythagorean Theorem at https://brainly.com/question/654982
#SPJ1
Given that v=√u*u- 2qs. Make q the subject of the equation. Find the value of q in the equation if v=8, u=12, and s=40
Answer:
Step-by-step explanation:
v=√u*u- 2qs
[tex]\sqrt{20}[/tex] x 20 - 2q40 = 8[tex]2\sqrt{5}[/tex] x 20 - 2q40 = 840[tex]\sqrt{5}[/tex] - 2q40 = 8- 2q40 = 8 - 40[tex]\sqrt{5}[/tex]-80q = 8 - 40[tex]\sqrt{5}[/tex] q = (8-40[tex]\sqrt{5}[/tex] ) / -80 = [tex]\frac{-1 + 5\sqrt{5} }{10}[/tex] = 1.018Above given answer is correct.
Pleeeeeeeeaaaaaaaaaaaasse help 71 points!!!!!!!!!
Answer:
54
Step-by-step explanation:
The perimeter is the sum of the outside
P = 8+4+5+10+( 4+10) +(8+5)
P = 54
HELPPPPPP please guyss
Plzz help me with this question my class test is going on
Step-by-step explanation:
2x+3y+5+4x-7y-8
2x+4x+3y-7y+5-8
6x-4y-3
Answer:
6x - 4y - 3
Step-by-step explanation:
They are basically telling you to sum both equations. So,
(2x + 3y + 5) + (4x - 7y - 8)
= 2x + 4x + 3y - 7y + 5 - 8
= 6x - 4y - 3
Need help ASAP plz
Answer:
C) postulate
An axiom or a postulate is an accepted statement of fact.
OAmalOHopeO
Answer:
Im pretty sure its definition
Need help ASAP please
Answer:
10
Step-by-step explanation:
1. AB
2 BC
3. CD
4. DE
5. AC
6. B D
7.CE
8.AD
9.BE
10. A E
find a number which is when added to it's square the sum will be 72.
Answer 8
8+8²=72
8+64=72
72=72
please click thanks and mark brainliest if you like :)
What is the surface area of a sphere with a diameter of 14 cm?
1961 cm2
287 cm2
7841 cm2
981 cm2
Answer:
??
Step-by-step explanation:
how
did you get 616? are you even looking at the 4 answers?????
Someone plz help me on this
Answer:
9²+x²=13²
81+x²=169
x²= 169-81
x²=88
X= 9.38
x=9.4[tex]x = \sqrt{88} [/tex]
The diameter of a cylinder is 4 m. If the height is triple the radius, which is the closest to the
?volume of the cylinder
75.40 m3 o
251.33 m3 o
100.53 m3 o
613.19 m3 o
WILL MARK BRAINLIEST OR WHATEVER NEEDED ASAP
Answer:
A. 75.40 m³
Step-by-step explanation:
Diameter of cylinder (d) = 4 m
Radius (r) = ½(d) = ½(4) = 2 m
Height (h) = 3 × r = 3 × 2 = 6 m
Volume of cylinder = πr²h
Substitute the values
Volume of cylinder = π*2²*6
Volume of cylinder = π*4*6
Volume = π*24
Volume = 75.40 m³
a colleague needs to move a 500 pound object that's on a lever. the fulcrum is 6 inches from the object. If your colleague weighs 180 pounds how far will your colleague need to be from the fulcrum to move the object? Use the formula B = (P x A) ÷ W, and round your answer to two decimal places.
Answer:
Step-by-step explanation:
The easier way to figure this is by using the concept of torque in physics. If the torque of the man is greater than that experienced by the box, the lever will tilt in the man's favor (in other words, he will move down and the box will be lifted). Torque is found by multiplying the perpendicular force by the length of the lever arm. Because we want the man's torque to be greater than the box's torque, the inequality is:
[tex]\tau_{man}>\tau_{box}[/tex] and
[tex]180r>500(.1524)[/tex] That decimal is 6 inches in terms of meters.
180r > 76.2 so
r > .42 meters or `16.67 inches. The man has to sit at a distance greater than 16.67 inches in order for the box to be lifted by the lever.
Which polygon has an interior angle sum of 1080°?
Answer:
its octagon. first and last one it has total 8 sides
Geometry, please answer question ASAP
Answer:
It's 5 which is A.
Step-by-step explanation:
3 angles
triangle
in
ratio 1:3:3
3:.
Find the angles
Answer:
1st angle = 30
2nd angle = 60
3rd angle = 90
Step-by-step explanation:
let ,1st angle be x , 2nd angle be 2x and 3rd angle be 3xx+2x +3x =1806X =180x =180/6x =30Find f(x)+g(x)
f(x)=x^2+6x-5
g(x)=-x^2-3x-1
Answer:
2x²+3x-6
Step-by-step explanation:
f(x)+g(x)
= x²+6x-5+x²-3x-1
=2x²+3x-6
Pls help. I really suck at math.
Determine whether the following polygons are similar.
Answer:
They are not similar.
To easily check if they are similar, you only need to look at the degrees angles, since if the angles are the same, the lengths of the sides will always come out to be similar somehow.
Those triangles possess right angles as you can see the little square thingie in the corners.
Those are 90 degrees, and you can add the 30 degrees in the left shape to 90 to get 120.
There are 180 degrees in a triangle, so 180 - 120 = 60.
Therefore, the unknown angle is 60.
A 30 60 90 triangle is called a special right triangle since there are many useful ratios hidden inside.
The other triangle has a 55 degree angle which is not on the first, so they must not be similar.
Pls brainly dont delete this link, its useful.
https://blog.prepscholar.com/30-60-90-triangle-ratio-formula
This helps you understand the special triangles.
You don't suck at math, you suck at geometry imo, though only in this unit of geometry, probably good at others.
Step-by-step explanation:
HELPPP PLEASE!!!
Salvador reads 12 books from the library each month for n months in a row. Write an expression to show how many books Salvador read in all. Then, find the number of books Salvador read if he read for 7 months.
Answers:
The expression is 12n
He reads 84 books in 7 months
==================================================
Explanation:
For 1 month, he has read 12*1 = 12 books
For 2 months, he has read 12*2 = 24 books
For 3 months, he has read 12*3 = 36 books
and so on
If we let n represent the number of months, then 12*n or 12n represents the number of books read after n months. The variable n is some placeholder for a positive whole number.
If we replaced n with say n = 7, then 12*n = 12*7 = 84 books are read in 7 months.
10000-10000+100000-100000
Answer:
0
Step-by-step explanation:
What is the image point of (5, 1) after a translation right 5 units and down 2 units?
Submit Answer
PLS HELP ASAP
Answer:
(10,-1)
Step-by-step explanation:
A translation to the right is (x+5)
A translation down 2 is (y-2)
(5+5, 1-2)
(10,-1)
Answer:
(10, - 1 )
Step-by-step explanation:
A translation right 5 units means add 5 to the x- coordinate
A translation down 2 units means subtract 2 from the y- coordinate
(5, 1 ) → (5 + 5, 1 - 2 ) → (10, - 1 )
Use Pythagoras to find the height and hence, the area of the triangle
below. Give height to 1 decimal place and area to the nearest whole. Write
answer in format: h= A= *
20 mm
Val
Answer:
h=17.3 A=173
Step-by-step explanation:
Calculator
Answer:
height = 17.3 mm
area = 173 mm²
Step-by-step explanation:
all three sides are of the same length (20 mm).
so, the height actually splits the baseline in half
(2 × 10 mm) while hitting it at a 90 degree angle.
so, we use Pythagoras, where the full side opposite of this 90 degree angle is c (Hypotenuse), the height of the main triangle is one side, and half of the baseline is the other side.
c² = a² + b²
20² = 10² + height²
400 = 100 + height²
300 = height²
height = 17.3 mm
the area of the main triangle is baseline (20) times height divided by 2.
so,
At = 20×17.3/2 = 10×17.3 = 173 mm²
