The equation that we need to solve is:
$157 + $50*m = $50 + $60*m
And the solution is m = 10.7 months.
Which equation models the situation?For the first runer we have a initial amount of $112 + $45 = $157 plus $50 per month, so we can write:
f(m) = $157 + $50*m
And the second runner has an initial amount of $50 and saves $60 per month, so we can write the linear equation:
g(x) = $50 + $60*m
They will have the same amount of money when:
f(x) = g(x)
$157 + $50*m = $50 + $60*m
$107 = $10*m
$107/$10 = m = 10.7
So, after 10.7 months, both accounts will have the same money.
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The dance committee hired a DJ for the fall dance. The DJ charges
$125 per hour in addition to $55 for an assistant. The committee
wants to keep the total cost under $600. Which inequality represents
the maximum amount of hours the DJ will play at the dance?
Answer: 4 hours
Step-by-step explanation:
4 Hours
Explanation:
Make h = hours
You add the $55 extra cost for the assistant
$125h + $55 = $555
Use additive inverse to isolate the term with the variable
$125h + $55 - $55 = $555 - $55
Use multiplicative inverse to isolate the variable
[tex]\frac{125h}{125}[/tex] = [tex]\frac{500}{125}[/tex]
Hours would be: 4 Hours.
I hope this helps! Please mark brainliest.
If (product ) > 20 then (product) - 27 else if (product) < 10, then (product) + 2 else (product) - 6
AnsweB i think
Step-by-step explanation:
The map uses a scale 1 inch = 880 ft. On the map, How many inches represent 2 miles?
PLS HURRY
Answer:
[tex]12\ inches[/tex]
Step-by-step explanation:
Step 1: Determine how many ft are in 2 miles
[tex]1\ mile = 5280\ ft[/tex]
[tex]2\ miles = 5280\ ft * 2[/tex]
[tex]2\ miles = 10560\ ft[/tex]
Step 2: Determine how many 880 ft's are in 10560 ft
[tex]10560\ ft / 880\ ft[/tex]
[tex]12[/tex]
Answer: [tex]12\ inches[/tex]
A television game show has 12 doors, of which the contestant must pick 2. Behind 3 of the doors are expensive cars, and behind the other 9 doors are consolation prizes. The contestant gets to keep the items behind the 2 doors she selects. Determine the probability that the contestant wins at least one car.
[tex]the \: answer \: is \: \frac{1}{10} [/tex]
[tex]\blue{———hope it helps———}[/tex]
[tex]\large{ \pink{ \underline{ { \sf{Answer}}}}}[/tex]
[tex]the \: answer \: is \: \frac{1}{10} [/tex]
Find an integer x such that x, 56, 65 is a pythagorean triple
Answer:
x = 33
Step-by-step explanation:
The three numbers will be a Pythagorean triple if the sum of the squares of the first two is equal to the square of the third.
__
We want ...
x² +56² = 65²
x² = 65² -56² = 4225 -3136 = 1089
x = √1089 = 33
The value x = 33 will make (33, 56, 65) a Pythagorean triple.
The triangle below is equilateral. Find the length of side a in simplest radical form
with a rational denominator.
By using the Pythagorean theorem, we conclude that side x measures (5/2)*√3 units.
How to find the length of side x?
In the image, we can see that the equilateral triangle can be divided into two right triangles.
If each side of the equilateral triangle measures 5 units, then for the right triangles we will have that the hypotenuse measures 5 units, and the bottom side measures half of that: 2.5 units.
Now remember the Pythagorean theorem. It says that the sum of the squares of the cathetus is equal to the square of the hypotenuse. Then we will have:
[tex]x^2 + 2.5^2 = 5^2[/tex]
[tex]x = \sqrt{5^2 - 2.5^2} = \frac{5}{2}\sqrt{3}[/tex]
Then we conclude that side x measures (5/2)*√3 units.
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Select the correct answer. which expression shows the factors of 9x2 3x − 2? a. (3x − 1)(3x − 2) b. (3x 1)(3x − 2) c. (3x 2)(3x − 1) d. (9x − 2)(x 1)
The complete factor of the expression 9x² + 3x - 2 is (3x - 1)(3x + 2)
How to determine the complete factorization?The expression is given as:
9x² + 3x - 2
Expand the equation
9x² + 3x - 2 = 9x² + 6x - 3x - 2
Factorize the expression
9x² + 3x - 2 = 3x(3x + 2) - 1(3x + 2)
Factor out 3x + 2
9x² + 3x - 2 = (3x - 1)(3x + 2)
Hence, the complete factor of the expression 9x² + 3x - 2 is (3x - 1)(3x + 2)
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please please help!!! see attached questions I WILL VENMO YOU ( i’m not sure if the first one is right)
Answer:
Your first answer is correct.
Second question: 300 ft.
Step-by-step explanation:
2nd problem, create a proportion.
[tex]\frac{220}{x}=\frac{305}{416} \\305x = 91520\\\frac{305x}{305}= \frac{91520}{305} \\x=300[/tex]
which expression is equivalent to 2^2 x 2/24
a. 2^-2
b.2^-1
c.2^6
d.2^7
Answer:
noneStep-by-step explanation:
which expression is equivalent to 2^2 x 2/24
a. 2^-2
b.2^-1
c.2^6
d.2^7
2^2 * 2/24 =
4 * 2/24 =
4 * 1/12 =
1/3
then
1/3 = 0.33
find equivalent
a) 2^-2 = 0.25
b) 2^-1 = 0.5
c) 2^6 = 64
d) 2^7 = 128
Verify whether x ≤ 3 is the solution to the inequality 7x ≥ 20x - 39.
Answer:
Yes, it is correct.
Step-by-step explanation:
7x≥20x-39
39≥13x
x≤39/13
x≤3
Rachel's nails grow at a rate of 1/8 inch per week. How long will take her nails to grow 6 inches?
Answer:
48 weeks
Step-by-step explanation:
This is a division problem.
6 / (1/8) = 6/1 × 8/1 = 48
Answer: 48 weeks
First one to answer, i will mark brainlist
Answer:
WX < YW < XY
Step-by-step explanation:
Angle sum propertySum of all angles of triangle = 180
114 + 53 + ∠y = 180
167 + ∠Y = 180
∠Y = 180 - 167
∠Y = 13
The side opposite to smallest angle is shortest.
Angles in ascending order: ∠Y < ∠X < ∠W
Sides in ascending order: WX < YW < XY
There are 26 counters in a bag. 5 of the counters are pink. 10 of the counters are blue. the rest of the counters are white. jan puts some more pink counters into the bag. she then takes some blue counters out of the bag. after she has done this there are still 26 counters in the bag. jan then takes at random a counter from the bag. the probability that she takes a pink counter is 1/2 what is the probability that she takes a blue counter?
The probability of picking a blue counter from the bag is 1 / 13.
What is the probability?The number of counters initially in the bag:
white counters = 26 - 10 - 5 = 11 pink counters = 5 blue counters = 10The number of counters now in the bag:
white counters = 11pink counters = (5 + x) / 26 = 1/213/26
x = 13 - 5 = 8
blue counters = 26 - 13 - 11 = 2Probability of picking a blue counter = number of blue counters / total number of counters
2/26 = 1 / 13
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integral from 0 to 5 of x^2 + 3 dx
Answer:
=170/3 or (decimal 56.67)
Step-by-step explanation:
Steps
∫⁵ x²+3dx
⁰
Apply the Sum Rule: ∫fx) + gx) dx = ∫f(x)dx +-∫ g(x)
dx
∫⁵ x² dx +∫⁵ 3dx
⁰ ⁰
∫⁵ x² dx=125/3
⁰
∫⁵ 3dx=15
⁰
125/3+15
=170/3
Need help:
Find the distance between A
and B
Answer:
2.6
Step-by-step explanation:
A= -1.3
B=1.3
1.3--1.3=2.6
Answer:
2.6 units
Step-by-step explanation:
If you round down the distance is 2. then you all the 2 decimals 0.3 and 0.3 to get 2.6 units.
If n is an integer, what is the possible value of n for which 1,116n is the square of an integer? Explain.
E. 24
F. 28
G. 31
H. 33
Answer:
G.31
Step-by-step explanation:
when n = 31
1116n = 1116*31 = 34596
34596 is square of 186.
= 186^2
= 34596
and other values (24,28,33) of n does not give square during 1,116n but 31 gives.
Hence, 31 is the possible value of n for which 1,116n is the square of an integer(186).
Which equation is y = 9x2 9x – 1 rewritten in vertex form? y = 9 (x one-half) squared minus thirteen-fourths y = 9 (x one-half) squared minus 1 y = 9 (x one-half) squared five-fourths y = 9 (x one-half) squared minus five-fourths
Answer:
A
Step-by-step explanation:
For a standard-position angle determined by the point (x, y), what are the values of the trigonometric functions?
For the point (9, 12), find csc θ and sec θ.
A. csc θ = 5/4, sec θ = 5/3
B. csc θ = 5/4, sec θ = 4/5
C. csc θ = 3/5, sec θ = 4/5
D. csc θ = 3/4, sec θ = 3/5
The measure of the cscθ and secθ are 5/4 and 5/3 respectively option (A) is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have a standard-position angle determined by the point (x, y).
The point is (9, 12)
From the Pythagoras theorem, we can find the hypotenuse(h):
h = √(9²+12²)
h = 15
cscθ = hypotenuse/opposite = 15/12 = 5/4
secθ = hypotenuse/adjacent = 15/9 = 5/3
Thus, the measure of the cscθ and secθ are 5/4 and 5/3 respectively option (A) is correct.
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The probability of spinning am even number is 40%. What is the probability of not spinning an even number, written as a decimal
Answer:
That would be 0.6 that means 60 percent.
Answer:
Probability of not spinning an even number is 0.6
Step-by-step explanation:
Total probability is 100 since it represented by %.
Therefore if 40% is the probability of spinning an even number then that of not spinning an even number is simply
100% - 40% = 60%
Expressing 60% as a decimal gives us 0.6
What is the solution to the equation
m - 8 = 12
Answer:
m= 20
Step-by-step explanation:
add 8 to both sides,
12+8=20
Ineed answers for this math review
Find the perimeters of all the figures. = ADD all four sides of shape.
(Length + Width + Height + Base)
The area of a square is 180 square inches. the measure of one side of the square lies between which of these two consecutive integers?
between 11 and 12
o
between 12 and 13
o
between 13 and 14
o
between 14 and 15
The measure of one side of the square lies between 13 and 14.
What is the measure of one side?
A square is a quadrilateral with four equal sides that has four angles that are equal and two diagonals that bisect each other at 90 degree.
Area of a square = length of a side²
length of a side = √ area
√180 = 13.42
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I need help pleaseeeeee I do not know what to do here
Answer:
[tex]A = 256[/tex]
Step-by-step explanation:
Since the hexagon is regular, we know that all of the side lengths are equal. We can find the length of the sides by solving for [tex]l[/tex] in the formula for the area of a hexagon:
[tex]A = \frac{3\sqrt{3}}{2}l^2\\384\sqrt{3} = \frac{3\sqrt{3}}{2}l^2\\384 = \frac{3}{2}l^2\\256 = l^2\\16 = l[/tex]
Now that we have the side length, we can find the area of the square:
[tex]A = l^2\\A = 16^2\\A = 256[/tex]
Answer:
256 in²
Step-by-step explanation:
Area of a Hexagon (To find side length)
A = 3√3 x l² x 1/2384√3 = 3√3 x 1/2 x l²256 = l²l = 16 inArea of square
Area = (Side length)²Area = (16)²Area = 256 in²What transformations would result in the image shown?
Δ ABC is reflected over both axes.
Δ ABC is reflected over the y-axis and translated down 5 units.
Δ ABC is reflected over the x-axis and translated right 5 units.
Δ ABC is translated right 5 units and down 5 units.
A bicycle store costs $2200 per month to operate. The store pays an average of $40 per bike. The average selling price of each bicycle is $80. How many bicycles must the store sell each month to break even?
Answer:
Step-by-step explanation:
120n=2400+60n is break-even point
60n=2400
n=40 bikes need to be sold monthly to break even!!!!!!!!!!!!
Rita wants to save her babysitting money to buy a $249.99 camera. she makes $64.33 a month, and her fixed expenses are $34.50 a month. how do you think she should budget for the camera?
The number of months in which Rita has a budget to buy a camera is 8 and a half months if Rita wants to save her babysitting money to buy a $249.99 camera.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Rita wants to save her babysitting money to buy a $249.99 camera. she makes $64.33 a month, and her fixed expenses are $34.50 a month.
Let x be the number of months in which Rita has a budget to buy a camera.
The linear equation in one variable can be framed as follows:
(64.33 - 34.50)x = 249.99
29.83x = 249.99
x = 8.38 = 8.5
Thus, the number of months in which Rita has a budget to buy a camera is 8 and a half months if Rita wants to save her babysitting money to buy a $249.99 camera.
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Kyle is considering a 7/1 ARM. What does 7 represent?
Answer:
The number of years the fixed interest rate will be applied to the loan
Step-by-step explanation:
I just guessed the answer was (The number of years the fixed interest rate will be applied to the loan)
Margo's parents started a savings account when she started highschool. They put in $12,500 to start. If the account earns 7% simple interest every year, How much will she have after 4 years?
Answer:
probably bout like 4 dollars
Step-by-step explanation:
Does anybody understand this? QSRT is a Rectangle and SQR=55
Answer:
90°; 55°; 35°; 110°; 70°
Step-by-step explanation:
A rectangle has corner angles that are 90°. When the corner angle is divided into two parts, the total of the parts is 90°.
Each of the triangles is isosceles. The figure is symmetrical about its center.
An exterior angle to a triangle is equal to the sum of the remote interior angles.
__
∠SRT = 90° . . . . a corner angle
∠STR = 55° . . . . symmetrical to the given angle
∠QRS = 180° -55° -90° = 35° . . . . sum of angles in ΔQRS is 180°
∠QPT = 2×55° = 110° . . . . exterior angle to ΔQPS; ∠QSP =∠SQP
∠TPR = 180° -110° = 70° . . . . forms a linear pair with ∠QPT
_____
There are numerous ways to figure any or all of these angles. They come down to the fundamentals: angles in a triangle total 180°; angles that form a line total 180°; corner angles of a rectangle are 90°. Base angles of an isosceles triangle are congruent.
The exterior angle rule derives from the sum of angles in a triangle and on a line both being 180°.
Which of the following equations represents a line that is parallel to the line with equation y = 3/2*x-7/4?
(A) 6x+4y=8
(B) -6x + 4y = 11
(C) x-2y=-4
(D) 3x+2y=7
Answer:
(B) -6x + 4y = 11
Step-by-step explanation:
Two lines are parallel if they have the same slope
In the line equation, y = mx + b, m = slope
For y = 3/2*x - 7/4, slope = 3/2
(B) can be written as
4y = 6x +11
Dividing by 4 on both sides gives y = 6/4*x + 11/4 which is 3/2*x + 11/4 so the coefficient of x (the slope) is 3/2 which is the slope of the line in the question
Using same strategies for the other lines, you will see
(A) has slope -3/2
(C) has slope 1/2
(D) has slope -3/2
