Answer:
12.5 hours
Step-by-step explanation:
[tex]115 - 15 = 100 \\ \frac{100}{8} = 12.5[/tex]
The student worked for 12.5 hours.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
A student earns $8 per hour plus a $15 bonus each weekend day worked.
Now, let the student works for h hours.
So, the earning would be= 15+ 8h
As, he earned $115
So, 15+ 8h= 115
8h = 100
h = 12.5 hours
Hence, the student worked for 12.5 hours.
Learn more about Algebra here:
https://brainly.com/question/24875240
#SPJ2
A sports store donates basketballs and soccer balls to the boys and girls club. The ratio of basket balls to soccer balls is 7:6. The store donates 24 soccer balls. How many basketballs do they donate
The number of basket balls donated is; 28 basket balls
We are told that;
Ratio of basket balls to soccer balls = 7:6
Now, the number of soccer balls donated was 24.
This, means fraction of the total number of balls x for soccer balls was; [6/(7 + 6)]x
Thus;
[6/(7 + 6)]x = 24
6x/13 = 24
6x = 24 × 13
6x = 312
x = 312/6
x = 52 balls
Now, since total balls are 52 and soccer balls are 24, then;
Number of basketballs = 52 - 24
Number of basketballs = 28 basketballs
Read more about fraction and proportions at; https://brainly.com/question/1581333
What is the solution to the system of equations?
Answer:
a set of values for the variable that satisfy all the equations simultaneously.
Step-by-step explanation:
search it
Jason estimates that his car loses 12% of its value every year. The initial value is $12,000. Which best describes the graph of the function that represents the value of the car after x years? f(x) = 12,000(0. 12)x, with a horizontal asymptote of y = 0 f(x) = 12,000(1. 12)x, with a vertical asymptote of x = 0 f(x) = 12,000(0. 88)x, with a horizontal asymptote of y = 0 f(x) = (12,000 0. 88)x, with a vertical asymptote of x = 0.
The graph that represents f(x) is [tex]f(x) = 12000(0.88)^x[/tex] with a horizontal asymptote at x = 0.
The given parameters are:
[tex]a = 12000[/tex] --- the initial value of the car
[tex]r = 12\%[/tex] -- the loss per year
The estimation is an illustration of an exponential function.
An exponential function is represented as:
[tex]y = a(1 -r)^x[/tex]
Rewrite as a function
[tex]f(x) = a(1 -r)^x[/tex]
Substitute values for (a) and (r)
[tex]f(x) = 12000(1 -12\%)^x[/tex]
Express 12% as decimal
[tex]f(x) = 12000(1 -0.12)^x[/tex]
Subtract 0.12 from 1
[tex]f(x) = 12000(0.88)^x[/tex]
The graph of f(x) has a horizontal asymptote at x = 0.
Hence, the graph that represents f(x) is [tex]f(x) = 12000(0.88)^x[/tex] with a horizontal asymptote at x = 0.
Read more about exponential functions at:
https://brainly.com/question/12940982
Hey guys please give me the correct answer.
Step-by-step explanation:
-5 - 2x < - 4
Bringing like terms on one side
-2x < - 4 + 5
-2x < 1
x < - 1/2
Option none is the correct answer
If the nominal interest rate is 4. 00% and the rate of inflation is 2. 25%, what is the real interest rate? 1. 75% 4. 50% 6. 25% 9. 0%.
Based on the information given the real interest rate is 1.75%.
Using this formula
Real interest rate =Nominal interest rate − Inflation rate
Where:
Nominal interest rate=4.00%
Inflation rate=2.25%
Let plug in the formula
Real interest rate=4.00%-2.25%
Real interest rate=1.75%
Inconclusion the real interest rate is 1.75%.
Learn more about real interest rate here:https://brainly.com/question/6106690
pls help i will give brainliest!!!!! :)
Answer: c.50 is the answer
3.please help me out
Answer:
125
Step-by-step explanation:
Step-by-step explanation:
5×5²
=5×5×5
=125
index form= 5³
which ordered pair is a solution to the system of equalities y<3x y<5
Answer:
(6,2) x=6 y=2
Step-by-step explanation:
Can someone one help me with this question Real quick
Answer:
5
7
..................
Answer:
y equals -2x -7
y equals 3/4 x plus 2 1/2
What is 540 into standard form
Answer:
5.40 x [tex]10^{2}[/tex]
Step-by-step explanation:
hoped that helped:P
Can someone please help?
Answer:
(B) 26°
Step-by-step explanation:
The angle at A made by the radius and the tangent is 90°. The angle at O is the same as arc AB, 64°. The acute angles in a right triangle are complementary, so the angle at C is the complement of 64°.
∠ACB = 90° -64°
∠ACB = 26°
A line through which two points would be perpendicular to the line y = 2/5x - 5/2 ?
Answer:
Step-by-step explanation:
c
Function project a day of fun
i mean i dont know what you want me to help but good luck
Roxanne's dining room is 4 meters wide and 5 meters long. Roxanne wants to install a new wood floor. It will cost $8.44 per square meter. How much will Roxanne's new floor cost?
$ ____
HELPP MEE PLEASEE!
Using the graph below what would the y value (range) be for an x value (domain) of -1
Answer:
y = - 5
Step-by-step explanation:
locate x = - 1 on the x- axis, go vertically down to meet the line at (- 1, - 5 )
Then when x = - 1 the value of y = - 5
heyyyy I rlly need help on this homework question its overdue and i need to turn it in :(
Tell whether the given value is a solution of the inequality 5+j>8.
Answer:
j>3
Step-by-step explanation:
hope this helps sorry if it doesn't have a great rest of your night :)❤
The lines represented by the equations y=x+5 and 2y-2x=10 are
The equations representing the lines, y=x+5 and 2y-2x=10, have the same slope, therefore the lines are parallel.
Recall:
Two lines that are parallel will have the same slope value.Two lines that are perpendicular to each other will have slopes that are negative reciprocal of each other.Equation representing a line in slope-intercept form is: y = mx + b, where m is the slope.Given:
y = x + 5
2y - 2x = 10
The slope of y = x + 5 is 1.
Rewrite 2y - 2x = 10 in slope-intercept form to determine its slope.
2y - 2x = 10
2y = 2x + 10
Divide both sides by 2y = x + 5
Thus, the slope of y = x + 5 (2y - 2x = 10) is also 1.
The equations representing the lines, y=x+5 and 2y-2x=10, have the same slope, therefore the lines are parallel.
Learn more about slope of parallel lines on:
https://brainly.com/question/10790818
Divide. 603 ÷ 27 = _____
22 R11
27 R1
22 R9
21 R16
Answer:
C) 22 R9
Step-by-step explanation:
Answer: C. 22 R 9
Step-by-step explanation: 603 ÷ 27 22 R 9
6) A geologist collects rocks. He has three types, sedimentary, metamorphic and
igneous. The ratio of sedimentary rocks to metamorphic rocks is 2:3.
The ratio of metamorphic to igneous is 9:10.
What is the ratio of sedimentary to igneous?
Answer:
3:5
Step-by-step explanation:
s:m = 2:3
m:i = 9:10
convert m to same number so they are comparable
s:m = 6:9 (multiple so the ratio is still the same as 2:3)
m:i = 9:10 (the same thing as before)
s:i = 6:10
s:i = 3:5 (simplify)
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
3/5n + 15 = 10 + 2/5n
n = ?
Use the relationship between the angles in the figure to answer the question Which equation can be used to find the value of x? Of x x+49-28 = 180
- 49 - 28 = 180
x + 49 + 28 = 180
x + 28 = 180
Answer:
x + 49 + 28 = 180
Step-by-step explanation:
The angle adjacent to x on the left is vertically opposite 49° and is congruent.
The 3 angles then lie on a straight line and sum to 180° , that is
x + 49 + 28 = 180
Help me solve these questions
?
Answer:
All of these?
i’m struggling with this question. can you please help me?
Answer:
50°
Step-by-step explanation:
∠ RST = (arc QC - arc RT) / 2
= (150° - 50°) / 2
= 50°
Find g (x), where g(x) is the reflection across the x-axis of f(x) = 7 [x+2]-6
6 - 3/8x = 15
what is x
Answer:
Step-by-step explanation:
the answer is -480
Answer:
x = -24
Step-by-step explanation:
First, transpose 6 to the right and remember that 6 must change sign if you transpose it, that'll give you
- 3/8x = 15-6
-3/8x = 9
Divide both sides by - 3/8
Then x = - 24
Construct a 60° angle
3. What is the slope of the line that passes through the points E(-1,4)
and F(2, 6)?
A.
3
2
C.
2
D.
NICO
B. -
al
NICO
3.
Find the total surface area of the cone in the figure. (Use π = 3.14.)
A) 219.8 cm2
B) 266.9 cm2
C) 314.0 cm2
D) 282.6 cm2
Answer:
282.6 cm^2
Step-by-step explanation:
typed it into a surface area calculator and I got the answer right
If cosine theta = -2/5 and tangent theta > 0, what is the value of sine theta?
[tex]\text{Given that,}\\\\\cos \theta = -\dfrac 25 \\\\\implies \cos^2 \theta = \dfrac 4{25}\\\\\\\implies 1- \sin^2 \theta = \dfrac{4}{25}\\\\\\\implies \sin^2 \theta = 1-\dfrac{4}{25}\\\\\\\implies \sin^2 \theta =\dfrac{21}{25}\\\\\\\implies \sin \theta = \pm \sqrt{\dfrac {21}{25}} = \pm \dfrac{\sqrt{21}} 5\\\\\text{Since}~ \tan \theta>0,~ ~\text{the value of} ~\sin \theta ~\text{wii be:} \\\\\sin \theta = -\dfrac{\sqrt{21}}5[/tex]