Answer:
10 hours for the month
Step-by-step explanation:
What you know: The total amount Jorge was charged for the month was $25
The base rate is $15
He gets charged $1 per each hour
Setting it up:
15+1h=25
(the 15 is the base rate, plus the 1 dollar per hour (h) which both add to the total of 25 dollars for the month)
Subtract 15 from both sides of the equation to get your variable by itself
1h=10
then divide the 1 on both sides to get h (hours) by itself
h=10
And there's your answer, 10 is the number of hours that Jorge was charged for the month
Hopefully this helped :))
Answer:
10
Step-by-step explanation:
$25 - $15 = $10
and its $1 per hour so the answer is 10hrs
How do you do 9&10?
Answer:
Step-by-step explanation:
9) 9xt
10) r-10
Help please. Thank you
Answer:
D
Step-by-step explanation:
To figure out which ones is 15% of the number, we want to divide the number on the left of ratio, by the number on the right.
4/15=26%
5/33=15.15%
3/25=12%
1.5/10=15%
Answer:
[tex]\large \boxed{\mathrm{D. \ 1.5:10}}[/tex]
Step-by-step explanation:
4 is not 15% of 15.
15% × 15 = 2.25
5 is not 15% of 33.
15% × 33 = 4.95
3 is not 15% of 25
15% × 25 = 3.75
1.5 is 15% of 10.
15% × 10 = 1.5
the perimeter of a rectangle is 68 feet the length is 5 inches shorter than twice the width what are the dimensions of the rectangle
Answer:
Step-by-step explanation:
The perimeter formula is P = 2L + 2W. If the perimeter is given as 68 feet, then our P will be filled in with 68. If the length is "5 inches shorter than twice the width" is an expression that looks like this, keeping in mind that "shorter" means subtraction, "twice" means doubled, and the word "is" means equals:
L = "length is"
2W is "twice the width"
5 inches shorter is " - 5". Putting it all together:
L = 2W - 5. Now we can fill in the perimeter formula:
68 = 2W + 2(2W - 5) and
68 = 2W + 4W - 10 and
68 = 6W - 10 and
78 = 6W so
W = 13. The width is 13 inches and the length is
L = 2(13) - 5 so the length is
L = 21 inches.
a/4 + 4 = 6 please helppppp!
━━━━━━━☆☆━━━━━━━
▹ Answer
a = 8
▹ Step-by-Step Explanation
a/4 + 4 = 6
Multiply both sides:
a + 16 = 24
Subtract 16 from both sides:
16 - 16 = a
24 - 16 = 8
a = 8
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Answer:
a = 8
Step-by-step explanation:
a/4 + 4 = 6
Subtract 4 from each side
a/4 + 4-4 = 6-4
a/4 = 2
Multiply each side by 4
a/4 * 4 = 2*4
a = 8
If the domain of a function f is {x|0≤x≤7} and the domain of a function g is {x|-2≤x≤5}, then the domain of the sum of the function f+g is ______
Answer:
-2 ≤ x ≤ 6
Step-by-step explanation:
For function f:
x - 7 ≤ 0 and x ≥ 0
For function g:
x + 2 ≥ 0 and x - 5 ≤ 0
The sum of the f + g:
x - 7 + x - 5 ≤ 0
2x - 12 ≤ 0
2x ≤ 12
∴ x ≤ 6
Also, x + 2 ≥ 0
x ≥ -2
Hence, -2 ≤ x ≤ 6
help help help I'll mark u BRAINLIEST SOLVE:3x² +5x−2≤0
Answer:
-2 <= x <= 1/3
Step-by-step explanation:
it is the same as for equations.
the solution for a square equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
our parameters here are
a = 3
b = 5
c = -2
so,
x = (-5 ± sqrt(25 - -24))/6 = (-5 ± sqrt(49))/6 = (-5 ± 7)/6
x1 = (-5 + 7)/6 = 2/6 = 1/3
x2 = (-5 - 7)/6 = -12/6 = -2
since we are looking for smaller or equal, points of 0 will be part of the solution.
now we need to check each side of these points on the x-axis, if they are true or not to the inequality.
left of -2 : let's pick -3
3×(-3)² + 5×-3 -2 = 3×9 - 15 - 2 = 27 - 15 -2 = 10
this is NOT <= 0, so this interval does not fit.
similar, right of 1/3 : let's pick 1
3×1² + 5×1 - 2 = 3 + 5 - 2 = 6
this is NOT <= 0, so this interval does not fit either (as expected, as normally either both sides fit, or both fail).
lastly, in the middle between -2 and 1/3 : let's pick 0
3×0² + 5×0 - 2 = -2
this IS <= 0, so the interval between -2 and 1/3 fits.
A person can run 3 miles per minute. (Convert to miles per hour to decide.)
O True
O False
it depends upon a persons pace a average pace is 9-10 mins
inscribed angles. help asap!
Answer:
20°
Step-by-step explanation:
The measure of the inscribed angle is equal to the half of the arc it sees
Since AC is the diameter the measure of arc ABC is 180°
and since A sees arc BC and C sees the arc AB
A< + C< = 90° so angle C = 20°
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
A sample of 1000 U.S. pediatricians is taken to collect data on medicines used to treat children. The population in this study is ___________________.
A. all U.S. pediatricians
B. the children who are taking medicine
C. the medicine used to treat children
D. the 1000 pediatricians
Answer:
the awnser is d 1000 pediatricians
How to do this question plz answer my question plz
Answer:
The total distance around the running track is 194.3 m
Step-by-step explanation:
Here, we are interested in calculating the distance around the running track.
We have two semi-circles of diameter 30m and two parallel straight lines of length 50m
Firstly let’s add the parallel straight lines, we have 50 + 50 = 100 m
Now these two semicircles when joined together gives a full circle. And since they are of same diameter, by calculating the circumference of the full circle, we can have the length around the two bends
Mathematically, that would be; πd
The circumference is thus; 22/7 * 30 = 94.29 m
Thus, the length of the running track will be 100 + 94.3m = 194.3m
What are the solutions of |3x + 2| > 9?
Answer:
see below (I hope this helps!)
Step-by-step explanation:
We can split this into 2 cases:
3x + 2 > 9 or -(3x + 2) > 9
3x > 7 or 3x + 2 < -9
x > 7/3 or x < -11/3
10 points to the person who answers this whole thing and I will mark you as brainliest.
Answer:
Step-by-step explanation:
Perimeter is found by adding together all the lengths of the sides. For us, that is x + (2x + 5) + (6x - 17) + (3x + 2). Now we will just combine like terms. We can also drop the parenthesis because they do nothing for us and mean nothing to the problem.
x + 2x + 5 + 6x - 17 + 3x + 2 becomes
12x - 10
The difference between the annual and semi-annual compound interest on a sum of money is Rs 482 at the rate of 20 % per annum for 2 years. Find the sum.
For problems 1 - 4, identify whether each figure is a point, line, or line segment. Then write its name.
Please help! Was due yesterday!
Answer:
1. Line segment 2. Point 3. Line 4. Line Segment
a positive number is 7 times another number if 3 is added to both the numbers then one of the new number becomes 5 by 2 times the other new number what are the numbers
Answer:
7 and 1
Step-by-step explanation:
Let the numbers be a and b.
A positive number is 7 times another number:
a = 7bIf 3 is added to both the numbers then one of the new number becomes 5 by 2 times the other new number:
a+3 = 5/2 × (b +3)To solve this we substitute a with 7b in the second equation:
7b + 3 = 5/2 × (b +3) ⇒ multiplying both sides by 214b + 6 = 5b + 15 ⇒ collecting like terms14b - 5b = 15 - 69b = 9b = 1 ⇒ solved for bThen, finding a:
a= 7ba=7*1a= 7 ⇒ solved for aSo the numbers are 7 and 1
PLEEEEEEEASE HELLLP What is the midpoint of segment RT with endpoints at (-5,2) and (1, -3)?
Answer:
-2, -1/2
Step-by-step explanation:
Step-by-step explanation:
The midpoint of a line segment between two points is given by
[tex]M = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]
where ( x1 , y1) and ( x2 , y2) are the points
From the question
The midpoint of the line segment using points (-5,2) and (1, -3) is
[tex]M = ( \frac{ - 5 + 1}{2} , \frac{2 - 3}{2} )[/tex]
[tex]M = ( - \frac{ 4}{2} , - \frac{1}{2} )[/tex]
We have the final answer as
[tex]M = ( - 2, - \frac{1}{2} )[/tex]
Hope this helps you
What is the surface area ,in square meters of the toy box
Answer:426m^2
Step-by-step explanation:
HELP ILL MARK YOU BRAINLIEST (40PTS)!! Which number line best shows how to solve −6 − (−8)? A number line from negative 10 to 10 is shown, with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 6. Another arrow points from negative 6 to 2. A number line from negative 10 to 10 is shown, with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 6. Another arrow points from negative 6 to 8. A number line from negative 10 to 10 is shown, with numbers labeled at intervals of 2. An arrow is shown from point 0 to 6. Another arrow points from 6 to negative 8. A number line from negative 10 to 10 is shown, with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 6. Another arrow points from negative 6 to negative 2.
Answer:
i think it is 6 but not sure
Step-by-step explanation:
Answer:
A is the answer hope i could help
Step-by-step explanation:
If sin∅+cos∅ = 1 , find sin∅.cos∅.
=============================================
Explanation:
The original equation is in the form a+b = 1, where
a = sin(theta)
b = cos(theta)
Square both sides of a+b = 1 to get
(a+b)^2 = 1^2
a^2+2ab+b^2 = 1
(a^2+b^2)+2ab = 1
From here notice that a^2+b^2 is sin^2+cos^2 = 1, which is the pythagorean trig identity. So we go from (a^2+b^2)+2ab = 1 to 1+2ab = 1 to 2ab = 0 to ab = 0
Therefore,
sin(theta)*cos(theta) = 0
Answer:
sin ∅ cos ∅ = 0.
Step-by-step explanation:
(sin∅+cos∅)^2 = 1^2 = 1
(sin∅+cos∅)^2 = sin^2∅ + cos^2∅ + 2sin ∅ cos ∅ = 1
But sin^2∅ + cos^2∅ = 1, so:
2sin ∅ cos ∅ + 1 = 1
2 sin ∅ cos ∅ = 1 - 1 = 0
sin ∅ cos ∅ = 0.
Arun has 25 chocolates with him. He had given 19 to his friends. What fraction of chocolates are with him?
Simplify the expression. (3x2 – 4x + 1) + (-x2 + x – 9)
[tex](3x^2 - 4x + 1) + (-x^2 + x - 9)=\\3x^2-4x+1-x^2+x-9=\\2x^2-3x-8[/tex]
Given the equation y = 2x + 3 what is the slope?
x
3
2
idk
Answer:
The slope is 2Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the question the equation is
y = 2x + 3
Comparing this equation with the general equation above
Slope / m = 2
Hope this helps you
Is f(x) =(x+5)2 a function, an odd function, both or neither
Explanation:
f(x) = (x+5)^2 = x^2+10x+25 = x^2+10x^1+25x^0
The exponents for that last expression are 2, 1, 0
The mix of even and odd exponents in the standard form means f(x) is neither even nor odd. We would need to have all exponents even to have f(x) even, or have all exponents odd to have f(x) be odd.
Write the phrase as an expression. Then evaluate the expression when x = 5.
6 more than the product of 8 and a number x
Expression:
When x = 5, the value of the expression is
Answer:
6 + 8x
46
Step-by-step explanation:
1. Write the expression
6 + 8x
2. Plug in 5 for x
6 + 8(5) → 6 + 40 = 46
Answer:
Expression=8x+6
The value of expression=46
An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each other. One airplane is 150 miles from the point and has a speed of 300 miles per hour. The other is 200 miles from the point and has a speed of 400 miles per hour.(a) At what rate is the distances between the planes decreasing?(b) How much time does the air traffic controller have to get one of the planes on a different flight path?
Answer:
The answer to this question can be defined as follows:
In option A, the answer is "- 357.14 miles per hour".
In option B, the answer is "-0.98".
Step-by-step explanation:
Given:
[tex]\frac{dx}{dt} =- 300 \text{ miles per hour}[/tex]
[tex]\frac{dy}{dt} =- 400 \text{ miles per hour}[/tex]
find:
[tex]\frac{ds}{dt} =?[/tex] when
[tex]x= 150 \\y= 200\\s=x+y\\\\[/tex]
[tex]= 150+200 \\\\=350[/tex]
[tex]\to s^2=x^2+y^2\\[/tex]
differentiate the above value:
[tex]\to 2s\frac{ds}{dt}= 2x \frac{dx}{dt}+2y \frac{dy}{dt}[/tex]
[tex]\to 2s\frac{ds}{dt}= 2(x \frac{dx}{dt}+y \frac{dy}{dt})\\\\\to \frac{ds}{dt}= \frac{(x \frac{dx}{dt}+y \frac{dy}{dt})}{s}\\\\[/tex]
[tex]= \frac{(150 \times -300 +200 \times -400 )}{350}\\\\= \frac{-45000+ (-80000) }{350}\\\\= \frac{- 125000 }{350}\\\\= - 357.14 \ \text{miles per hour}[/tex]
In option B:
[tex]\to d=rt\\\\ \to t= \frac{d}{r}[/tex]
[tex]\to \ \ d= 350 \ \ \ \ \ \ r= -357.14\\[/tex]
[tex]\to t= - \frac{350}{357.14}\\\\\to t= - 0.98[/tex]
Find the complete factored form of the polynomial
30ab^4-5a^6
Answer:
5a(6[tex]b^{4}[/tex] - [tex]a^{5}[/tex])
Step-by-step explanation:
Given
30a[tex]b^{4}[/tex] - 5[tex]a^{6}[/tex] ← factor out 5a from each term
= 5a(6[tex]b^{4}[/tex] - [tex]a^{5}[/tex] ) ← in factored form
The length of a rectangular field is 6 metres longer than its width. If the area of the field is 72 square metres, What are the width and the length of the field?
Answer:
The length is 12metres, the width is 6metres
Step-by-step explanation:
Suppose the width is x, the length is x+6
The square is 72. The square of rectangular field is equal to product of length and width.
so x(x+6)=72
x^2+6x-72=0
a=1 b=6 c=-72
D= b^2-4ac= 6*6+288= 36+288= 324
sqrtD= 18
x1= (-b-sqrtD)/2a=(-6-18)/2= -12 (it is negative, but width is only positive. So this root doesn't match)
x2=(-b+sqrtD)/2a= (-6+18)/2= 12/2=6 - the width
The length is 6+6=12
Simplify
2x + 5x^3 + 3x - 4x^3
Answer:
x³ + 5x
Step-by-step explanation:
2x+5x3+3x−4x3
=2x+5x3+3x+−4x3
Combine Like Terms:
=2x+5x3+3x+−4x3
=(5x3+−4x3)+(2x+3x)
=x3+5x
Answer:
[tex]\large \boxed{x^3+5x}[/tex]
Step-by-step explanation:
[tex]2x + 5x^3 + 3x - 4x^3[/tex]
[tex]\sf Group \ like \ terms.[/tex]
[tex]5x^3 - 4x^3+2x+3x[/tex]
[tex]\sf Combine \ like \ terms.[/tex]
[tex]x^3+5x[/tex]
Suppose a wall divides a playground, and twenty balls lie on the ground on the east side, while forty balls lie on the west side. If a child on the east side of the wall always tosses a ball over the wall at the same time a child on the west side tosses a ball over the wall, then:
Answer:
The amount of balls on each side would stay the same. The amount of balls would stay the same as long as both sides are throwing the same number of balls at the same time.
Step-by-step explanation:
Equation for east side: 20 (balls) -1 (thrown over to west) + 1 (thrown over from west) = 20 balls
Equation for west side: 40 (balls) -1 (thrown over to east side) +1 (thrown over by east side) = 40 balls
What is the multiplier that corresponds to 12% exponential decay(answer choices in picture)?
Answer:
[tex] 0.88^x [/tex]
Step-by-step explanation:
Exponential decay formula is given as [tex] a(1 - r)^x [/tex], where,
a is the initial amount
r is the decay rate
x is the time interval
Therefore, the multiplier that corresponds to 12% decay is [tex] (1 - r)^x = (1 - \frac{12}{100})^2 = (1 - 0.12)^x = 0.88^x [/tex]