Answer:
Serena earns $7.50 per hour more than Gabe
Step-by-step explanation:
Given
Serena:
[tex]m = 21h[/tex]
Gabe
Earnings: $13.50 per hour ----- Missing Part of equation
Required
How much more does Serena earn per hour
For Serena
[tex]m = 21h[/tex] implies that She earns $21 per hour
So, to determine how much more She earns, we simply calculate the difference.
[tex]Difference = \$21 - \$13.50[/tex] (per hour)
[tex]Difference = \$7.50[/tex] (per hour)
The difference implies that Serena earns $7.50 per hour more than Gabe
Suppose a system of equations was solved my elimination and the resulting equation was 0=3. Which of the following statements is/are true.
a. The slopes of the two equations in the system are the same but their y-intercepts are different.
b. The system is an independent system.
c. The graphs of the two equations would intersect at the point (0,3).
Answer:
a. The slopes of the two equations in the system are the same but their y-intercepts are different.Step-by-step explanation:
The system resulting in equation 0=3 means:
There is no solutionThe lines are parallel as no intersectionCorrect choice is:
a. The slopes of the two equations in the system are the same but their y-intercepts are different.What is the value of cos(x/2) if tan x=1/2 and x is in quadrant III
Answer:
Step-by-step explanation:
The value of cos(x/2) is required.
The required value is [tex]\cos(x/2)=-\sqrt{\dfrac{5-2\sqrt{5}}{10}}[/tex]
TrigonometryThe given value is
[tex]\tan x=\dfrac{1}{2}[/tex] where x is in quadrant III.
From trigonometric identities we have
[tex]\sec^2x=1+\tan^2x\\\Rightarrow \sec^2x=1+(\dfrac{1}{2})^2\\\Rightarrow \sec^2x=\dfrac{5}{4}\\\Rightarrow \cos^{2}x=\dfrac{4}{5}\\\Rightarrow \cos x=\dfrac{2}{\sqrt{5}}[/tex]
If x lies in quadrant III then x/2 lies in quadrant II.
Cos is negative in quadrant III so,
[tex]\cos x=-\dfrac{2}{\sqrt{5}}=-\dfrac{2\sqrt{5}}{5}[/tex]
[tex]\cos \dfrac{x}{2}=\pm \sqrt{\dfrac{1+\cos x}{2}}\\ =\pm\sqrt{\dfrac{1-\dfrac{2\sqrt{5}}{5}}{2}}\\ =\pm\sqrt{\dfrac{5-2\sqrt{5}}{10}}[/tex]
Since, x/2 lies in the second quadrant and cos (x/2) is negative.
The required value is [tex]-\sqrt{\dfrac{5-2\sqrt{5}}{10}}[/tex]
Learn more about trigonometry:
https://brainly.com/question/24349828
What is the value of k?
Answer:
k =5
Step-by-step explanation:
triangle =180
180-115=65
65-10-5=50
50/ (4+6)= 5
factorise the following:
[tex]{3x}^{2} + 5x - 12[/tex]
Answer:
(x + 3)(3x - 4)
Step-by-step explanation:
Given
3x² + 5x - 12
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 12 = - 36 and sum = + 5
The factors are + 9 and - 4
Use these factors to split the x- term
3x² + 9x - 4x - 12 ( factor first/second and third/fourth terms )
= 3x(x + 3) - 4(x + 3) ← factor out (x + 3) from each term
= (x + 3)(3x - 4)
Thus
3x² + 5x - 12 = (x + 3)(3x - 4) ← in factored form
URGENT HELP! VIEW PICTURE
Answer:
it 2
Step-by-step explanation:
Please answer will give brainliest if correct.
Answer:
x intercept (2,0)
y intercept (0,-4)
Answer:
x intercept (2,0)
y intercept (0,-4)
Step-by-step explanation:
give me brainliest
Rob can lift less than 135 pounds at the weight room. There is already 48 pounds of weights on the bar. Write an inequality that shows the additional weight that Rob can add, w, without being over his maximum.
Answer:
[tex]x + 46 < 135[/tex]
Step-by-step explanation:
Given
[tex]Initial\ Weight = 48lb[/tex]
He can lift less than 135 implies that, his maximum is:
[tex]Total < 135[/tex]
Required
Determine the additional weight
Let the additional weight be x
Such that
[tex]Total = x + Initial\ Weight[/tex]
[tex]Total = x + 46[/tex]
Substitute x + 46 for Total in [tex]Total < 135[/tex]
[tex]x + 46 < 135[/tex]
Hence, the inequality that describes the scenario is: [tex]x + 46 < 135[/tex]
Are the lines parallel? 2x + 3y = 6 and 2x + 3y = 10
Answer:
the fact that this dosen´t the question like
Step-by-step explanation:
Simplify 7 +(-3). (1 point)
Answer:
4
Step-by-step explanation:
7-3=4
Answer:
7-3=4
Step-by-step explanation:
Im not quite sure if this is what you were asking for but here
А ____________ is a comparison of two quantities by division.
A. Unit Rate
B. Rate
C. Ratio
Answer:
Rate
Step-by-step explanation:
When you have two quantities and place one over the other, i.e. miles/hour, you get a rate, such as a rate of change .
c = x + a / b solve for the x
Answer:
x= C-a/b
Step-by-step explanation: Ik alllLlLLlllLlLL
(my other account is actingqueen2468 but i forgot my password)
what is proportional to 35/80
Answer:
nhi pta... pdhai dhang se kiya kro
2. Find the value of x.
17x - 3
17X-13-ax+3
9x + 13
Based on the HL congruence rule, the value of x, is calculated as:
x = 2.
How to Find the Value of x in the Triangle Using the HL congruence theorem?Both triangles that share the same side and have corresponding angle 90 degrees and a pair of corresponding congruent hypotenuse are congruent to each other based on the HL congruence theorem.
This means that:
17x - 3 = 9x + 13
Solve for the value of x:
17x - 9x = 3 + 13
8x = 16
Divide both sides by 8:
8x/8 = 16/8
x = 2
The value of x is: 2.
Learn more about HL congruence theorem on:
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Write the absolute value equation given the transformations
shifts right 5 units
shifts up 2 units
is reflected
is stretched by 0.5
Answer:
y = - 0.5 | x - 5 | + 2
Step-by-step explanation:
g(x) = |x|
[tex]1^{st}[/tex] step - shifts right 5 units: g(x + 5) = | x - 5 |
[tex]2^{nd}[/tex] step - shifts up 2 units: g(x + 5) + 2 = | x - 5 | + 2
[tex]3^{rd}[/tex] step - reflected: - g(x + 5) + 2 = - | x - 5 | + 2
[tex]4^{th}[/tex] step - stretched by 0.5: y = - 0.5 | x - 5 | + 2
y = - 0.5 | x - 5 | + 2
Simplify (1/2)4. Plz answer fast
Answer: 2
Step-by-step explanation: 1/2 x 4 = 4/2 = 2/1 = 2.
Jessica added the two distances in the table to get a sum
of 26.95 miles.
Jessica's Running Journal
Week 1
11.9 miles
Week 2
15.05 miles
Explain the steps you use to determine if Jessica's
answer is reasonable.
LOTS OF POINTS HELP ASAP
Answer:
Round to the nearest whole number and then add the numbers. The estimate should be close in value to the actual sum.
Step-by-step explanation:
Find the sum of the complex numbers.
(3 + 5i) + (10 + 71)
O A. 13 + 121
O B. 7 + 121
O
C. 13 + 2i
O D. 7 + 21
Answer:
A
Step-by-step explanation:
(3 + 5i) + (10 + 7i) =
3 + 5i +10 + 7i =
3 + 10 + 5i + 7i =
13 + 12i
Subtract 5x^2+8x-11 from 3x^2+8x-7
guys please help/ no answers from google!
it's for tomorrow
Answer:
Length --> x
Width --> y
Perimeter of a rectangle --> 2x + 2y
The length is always 4 cm more than double the width
x - 4 = 2y
y = (x-4)/2
x = 2y + 4
a. The polynomial equation to give the perimeter --> 2(2y+4) + 2((x-4)/2)
b. x - 4 = 2·6 --> x - 4 = 12 --> x = 16
Perimeter --> 2·16 + 2·6 = 44 cm
Is 0.000027 greater than 270?
Answer:
no because it is lower than 1 and 270 is higher
Answer:
No, because 0.000027 is a decimal. Any decimal with 0. *something* will be less than one. 27 is more than one. Thus, the statement is false.
A polygon has 6 sides . The interior angles measures are 118°,127°,111°,123°,126°.and x° find the values of x .
The value of 'x' is 115 degrees and this can be determined by using the sum of interior angles property of hexagon.
Given :
A polygon has 6 sides. The interior angles measures are 118°, 127°, 111°, 123°, 126°, and x°.The following steps can be used in order to determine the value of x which is an interior angle of a hexagon:
Step 1 - According to the given data, the given polygon has 6 sides means that it is a hexagon with interior angles 118°, 127°, 111°, 123°, 126°, and x°.
Step 2 - The sum of interior angles of a hexagon is 720 degrees.
Step 3 - So, the values of 'x' can be calculated by using the below expression:
118 + 127 + 111 + 123 + 126 + x = 720
Step 4 - Simplify the above expression.
605 + x = 720
x = 720 - 605
x = 115 degrees
For more information, refer to the link given below:
https://brainly.com/question/4083236
PLZ HELP NOW!! In a group of 75 fourth graders, 21% do not like Skittles. How many students like Skittles? AND PLEASE SHOW WORK LOL
Answer:
[see below]
Step-by-step explanation:
In a group of 75 fourth graders, 21% do not like Skittles.
This means that 79% of people do like Skittles.
75 * .79 = 59.25 ≈ 59
59 students should like skittles.
Hope this helps.
CHOOSE THE CORRECT CORRESPONDENCE.
TS <>
A. Side RU
B. Side TU
C. Side RT
Answer:
i believe its B side Tu
Step-by-step explanation:
find the circumcenter
Answer: (0, -2)
Step-by-step explanation:
Answer two questions about Equations AAA and BBB: \begin{aligned} A.&&\dfrac x4+1&=-3 \\\\ B.&&x+4&=-12 \end{aligned} A. B. 4 x +1 x+4 =−3 =−12 1) How can we get Equation BBB from Equation AAA? Choose 1 answer: Choose 1 answer: (Choice A) A Rewrite one side (or both) using the distributive property (Choice B) B Rewrite one side (or both) by combining like terms (Choice C) C Multiply/divide only one side by a non-zero constant (Choice D) D Multiply/divide both sides by the same non-zero constant 2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution? Choose 1 answer: Choose 1 answer: (Choice A) A Yes (Choice B) B No
The given equations are as follows
[tex]\begin{aligned} A.&&\dfrac x4+1&=-3 \\\\ B.&&x+4&=-12 \end{aligned}[/tex]
(1) First, multiply both sides of equation A by 4, we have
[tex]4\times\left(\frac{x}{4} +1\right)=4\times(-3)[/tex]
Then, rewrite the left-hand side of the above equation by using the distributive property, we have
[tex]4\times\frac{x}{4}+4\times1=4(-3)[/tex]
[tex]\Rightarrow x+4=-12[/tex]
This is the required equation B.
In this way, first use choice D: Multiply both sides by the same non-zero constant, i.e 4.
Then, apply choice A to solve the equation, i.e using the distributive property to solve the left-hand side of the equation.
(2) In the previous answer, equation B has been derived from equation A, hence, both the equations are equivalent.
As both the equations are the same, so both will have the same solution.
Yes, they have the same solution.
solve for b and simplify -17=-3/2b
Answer:
b = 34/3
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
-17 = -3/2b
Step 2: Solve for b
Rewrite: -3/2b = -17Divide both sides by -3/2: b = 34/3Step 3: Check
Plug in b to verify it's a solution.
Substitute: -17 = -3/2(34/3)Multiply: -17 = -17At the grocery store, a big bag of candy costs $13.50 for a 5
pound bag. How much does it cost per pound?
Answer:
$2.70 Per Pound
Step-by-step explanation:
Skylar has a smart phone data plan that costs $50 per month that includes 7 GB of data, but will charge an extra $30 per GB over the included amount. How much would Skylar have to pay in a month where she used 5 GB over the limit? How much would Skylar have to pay in a month where she used went over by
Please answer ASAAP! ILL GIVE BRAINLIEST
Answer:
If you use 30 instead of 15, that means that your sum will double
Step-by-step explanation: 30 is double 15
find the slope of the line if it exists
a. the slope is ___
b. the slope is undefined
Answer:
The slope is -4/3.
Step-by-step explanation:
Slope = rise/run. Starting at (3, -1), you go up 4 units and over to the left 3 units to (0,3). Since it's a line of decay, the slope is negative.
Answer:
the slope should be -4/3
Step-by-step explanation:
you go down 4 and to the right 3 so I am pretty sure it is -4/3