Teresa works as a tutor for 7 an hour and as a waitress for 12 an hour. This month, she worked a combined total of 97 hours at her two jobs.
Let 't' be the number of hours Teresa worked as a tutor this month. Write an expression for the combined total dollar amount she earned this month.
Answer:
12t + 7(96 - t) = 12t + 672 - 7t = 5t + 672
Step-by-step explanation:
96-t number of hours as a waitress
Let t number of hours as a tutor
12t + 7(96 - t) = 12t + 672 - 7t = 5t + 672
5(x+4) simplify by distribtuion
Answer:
5x + 20
Step-by-step explanation:
5(x+4)
5(x) + 5(4)
5x + 20
Hope this helps!
A circle has an area of 12.251 x pi cm^2
Calculate:
a its diameter
b its circumference
Answer:
A) 3.94
B) 12.40
Step-by-step explanation:
Refer to the work image. You also need the radius to calculate A and B.
the abscissa of a point is -6 and its distance from the point (1,3) is √74. find the ordinate of the point
[tex]\huge\fbox{Answer ☘}[/tex]
we know that ,
• absicca of a point = x - coordinate of that point
• ordinate of a point = y - coordinate of that point
therefore , let the point be A( -6 , y )
also ,
we're given an another point , i.e. ,
B( 1 , 3 )
[tex]distance \: between \: the \: two \: points = \sqrt{74} \\ \\ \sqrt{( x_{2} - x_{1}) {}^{2} \: + ( y_{2} - y_{2}) {}^{2} } = \sqrt{74} \\ \\ \sqrt{(1 - ( - 6)) {}^{2} + (3 - y) {}^{2} } = \sqrt{74} \\ \\ \sqrt{(7) {}^{2} + (9 + y {}^{2} - 6y)} = \sqrt{74} \\ \\ \sqrt{49 + 9 - y {}^{2} - 6y} = \sqrt{74} \\ \\ ✯\:\:\bold\blue{squaring \: both \: sides} \\ \\ 49 + 9 - y {}^{2} - 6y = 74 \\ \\ - y {}^{2} - 6y + 58 = 74 \\ \\ y {}^{2} + 6y - 58 = - 74 \\ \\ y {}^{2} + 6y - 58 + 74 = 0 \\ \\ y {}^{2} + 6y - 16 = 0 \\ \\ y {}^{2} + 8y - 2y - 16 = 0 \\ \\ y(y + 8) - 2(y + 8) = 0 \\ \\ (y + 8) = 0 \: \: and \: \: (y - 2) = 0 \\ \\ y = - 8 \: \: or \: \: y = 2[/tex]
therefore , the ordinate of point A is either ( -8 ) or ( 2 )
hope helpful~
Write 1/8 in two equivalent forms decimal and percent
Answer:
Fraction Form: 1/8
Decimal Form: 0.125
Percent Form: 12.5%
I NEED HELP WITH THESE 2 QUESTIONS ASAP!
Answer:
a) 2, 4, 8, 32, 60
b) 2, 4, 32, 64, 120
Step-by-step explanation:
a)The numerator is 1/2 the denominator, or the denominator is 2 times the numerator.
[tex]\dfrac{1}{2}=\dfrac{2}{4}=\dfrac{4}{8}=\dfrac{8}{16}=\dfrac{16}{32}=\dfrac{30}{60}[/tex]
__
b)The numerator is 1/4 the denominator, or the denominator is 4 times the numerator.
[tex]\dfrac{1}{4}=\dfrac{2}{8}=\dfrac{4}{16}=\dfrac{8}{32}=\dfrac{16}{64}=\dfrac{30}{120}[/tex]
Which of the following triangles are possible to draw? halppppp for 25 points
A triangle with angle measures of 100°, 40°, and 45°.
A triangle with angle measures of 55°, 35°, and 80°.
A triangle with angle measures of 30°, 60°, and 90°.
A triangle with angle measures of 25°, 65°, and 90°.
A triangle with angle measures of 20°, 50°, and 105°.
3k - 2 = 10
Evaluate the expression
Answer:
k = 4
Step-by-step explanation:
3k - 2 = 10
3k - 2 + 2 = 10 + 2
10 + 2 = 12
3k = 12
3k/3 = 12/3
k = 4
anyone know the answer to this?
Answer:
0.99.Step-by-step explanation:
Remove the decimal point.
Then, divide.
I'll show you an image.
Someone please help me!
Answer:
[tex]y= -\frac{8}{7} x - 7[/tex]
Step-by-step explanation:
Hope this helps! :)
How do I solve this problem?
Answer:
it's easy Randi Sali kuti harami is the answer
Mason playing board games he would like to design games has a Job Center, Mason has decided to make his own board his game uses around spinner Mason divides the spinner into eight equal Spaces Mason favorite color and leave the other six pieces of white what fraction of the spinner does mason paint his favorite color
Answer:
I think the answer is for the color of the spinner is black because i think most og the color is white 6/8 and black is 2
2/8
Step-by-step explanation:
Anastasia Subscribe to a website for processing her digital pictures The subscription is $6.25 per month and 4-by -6 inches prints are $ 0.25 each how many prints dose Anastasia Purchase if the charge for January is $15.75 ?
total cost = 6.25 + 0.25 x
15.75 - 6.25 = 0.25 x
9.5 = 0.25 x
x = 38 prints
A manufacturing corporation make tires with a probability 0.79 of lasting over 3,000 miles. What is the probability of exactly seven out of the next eight tires lasting over 3,000 miles?
(Round your answer to three decimal places.)
Answer:
A manufacturing corporation make tires with a probability 0.77 of lasting over 3,000 miles.
Step-by-step explanation:
The probability of exactly seven out of the next eight tires lasting over 3,000 miles will be 0.32.
How to find that a given condition can be modelled by binomial distribution?Binomial distributions consist of n independent Bernoulli trials.
Bernoulli's trials are those trials which end up randomly either on success (with probability p) or on failures (with probability 1- p = q (say))
The probability that out of n trials, there'd be x successes is given by
[tex]\rm P(X =x) = \: ^nC_x \ p^x(1-p)^{n-x}[/tex]
A manufacturing corporation make tires with a probability 0.79 of lasting over 3,000 miles.
The probability of exactly seven out of the next eight tires lasting over 3,000 miles will be
P(x = 7) = ⁸C₇ (0.79)⁷ (1 – 0.79)⁽⁸⁻⁷⁾
P(x = 7) = 0.32
Learn more about binomial distribution here:
https://brainly.com/question/13609688
#SPJ2
PLEASE PLEASE HELP AND PLEASE
Answer:
Step-by-step explanation:
Part A is -6
Because 7 - 13 is -6 so at 9 am it was -6 degrees
Part B is -7.5 degrees
Because 6 x -1.25 = -7.5
y = 4.45 = 1.4
y=
Please help (ASAP‼️)
Answer:
y=6.23 hope this Helps!
Step-by-step explanation:
Write a common denominator for 1/4 and 5/6 (PLEASE THIS IS DUE TMRR) Also just an answer
Solve for n. Isolate it on the left side. Attached is a picture of the equation.
Will mark Brainliest! :)
Answer:
Let's solve your equation step-by-step.
a=p(1+rn)nta=p(n+rn)nt
Step-by-step explanation:
5x +(9+17)x320-10 divided by 2
Step-by-step explanation:
Answer is=4027.5
Approximately 4028.
Hope it was helpfull
The sum of 75 and 45 is divided by 5 and the difference of quotient and 10 is multiplied by 2. (Ans: 28) (Hint:- Make mathematical expressions, then simplify) (Please solve my question)
Answer:
28
Step-by-step explanation:
(((75+45) ÷5) - 10 )2 -> first add 75 and 45
((120 ÷ 5) - 10)2 -> Divide 120 by 5
(24 - 10)2 -> Subtract 24 by 10
(14)2 - > 28
Ans: 28
what are the solutions to this polynominal when s(x) =0 s(x) (3x^2 + 17x+10 )(x-7)(4x-3) enter your answers in the boxes, from least to greatest.
Answer:
-5, -2/3, 3/4, 7
Step-by-step explanation:
The solutions are solutions of one of the following:
(3x^2 + 17x + 10) = 0, x - 7 = 0, 4x - 3 = 0
The latter two are straightforward: x = 7 or 3/4.
To factor the first, note it must be of the form (3x + __) (x + __)
Check the pairs (10, 1) (1, 10) (5, 2) and (2, 5) and we find:
(3x + 2) (x + 5) = 0
So, we also have solutions -5, -2/3
Answer:-5,-2/3,3/4,7
Step-by-step explanation:
took quiz
A car salesperson had $85.460 in total monthly sales in September and $74,570 in October. The salesperson earned a total of $3.485 in commission from those sales combined. What is the salesperson's commission as a percent of the total monthly sales? Enter your answer, rounded to the nearest tenth of a percent, in the box.
Answer:
3.485
[tex] \div 2[/tex]
1.7425
Step-by-step explanation:
3.485
[tex] \div [/tex]
2
Answer:
2.2
Step-by-step explanation:
I took the quiz
how many distinct ways can the letters in accounting be arranged
Answer:
4 times
Step-by-step explanation:
I tried to see many ways as possible
A polygon is broken up into 5 non-overlapping triangles by drawing lines from one vertex to all other non-adjacent vertices. What is the name of the polygon?
pentagon
hexagon
heptagon
octagon
Answer:
It called c. Heptagon
Step-by-step explanation:
Answer:
it’s c :)
Step-by-step explanation:
because there no other Correct answers
A deck is shaped like a parallelogram with a base length of 27 feet and a height of 11 feet. A can of wood stain will cover 40 square feet.
How many cans of stain will be needed to stain the deck?
Enter your answer in the box.
From the area of the parallelogram, it is found that 8 cans of stain will be needed to stain the deck.
What is the area of a parallelogram?The area of a parallelogram of base length l and height h is given by:
A = lh
In this problem, the dimensions are l = 27, h = 11.
Hence, the area, in square feet, is given by:
A = 27(11) = 297.
Each can cover 40 square feet. How many cans are needed for 297 square feet?
[tex]n = \frac{297}{40} = 7.425[/tex]
Rounding up, 8 cans of stain will be needed to stain the deck.
To learn more about the area of a parallelogram, you can take a look at https://brainly.com/question/17540452
Answer: 8 cans
Here's Proof
-2(x + 7) simplified expression, please do it I don't understand it for some reason and I'm gonna fail my test which is 50% of my grade :(
Answer:
-2 (x+7)
-2x-14
hope it helps you
have a great day :)
PLEASE I NEED HELP!! ∠WXY and ∠ZXY are supplementary angles. Find the value of m.
Answer:
m=70°
Step-by-step explanation:
*∠WXY and ∠ZXY are supplementary angles (180°)*
110°+m=180°
110°+m-110°=180°-110°
m=70°
Hope it helps!
Three workers are digging a ditch. They take turns working, and every one of them works for as long as it would take the other two to dig half of the ditch. They finished digging the ditch working in this manner. How many times faster would the three workers have finished digging the ditch if they had all been working at the same time?
The work would be finished 2.25 times faster if they had been doing the work at the same time.
Rate of doing workAssumption;
Provided each one of the workers works for an hour which is equivalent to the time it takes to finish half of the ditch.In essence, the total time required to finish the ditch by 2 workers is; 2 hours.
Hence, for 3 workers working simultaneously, the time required is 1hour 20 minutes. = 80 minutesHowever, since they took 1 hour turns on the job, it follows that; The total time used is;
Total time = 3 × 1hr = 3 hours = 180 hoursHence they could have finished the work in;
R = 180/80 times faster = 2.25 times faster.Read more on rate of work;
https://brainly.com/question/766849
An 8-year-old boy is half his sister's age. When the boy is 12, how old will his sister be?
Answer:
20 years
Step-by-step explanation:
when the boy is 8 and half his sisters age his sister is 16
four years later the boy will be twelve, so if his sister was 16 four years later she will be 20
Answer:
20 years old
Step-by-step explanation:
Let n represent the age of the boy's sister then...
[tex]8=\frac{1}{2}n[/tex]
Multiply both sides by 2
[tex]n=16[/tex]
When the boy is 12, it will be 4 years from when he is 8 therefore...
16 + 4 = 20 years old
A test question asks you to find two side lengths of a 45° -45° -90° triangle. You know that the length of one leg is 6, but you forgot the special formula for 45° -45° -90° triangles. Explain how you can still determine the other side lengths. What are the other side lengths?
Answer:
The other leg is 6 and the Hypotenuse is 6√2
Step-by-step explanation:
because it's a 45 45 90 the legs equal and the Hypotenuse is square root 2 times leg