Answer:
-1 , -6
Step-by-step explanation:
Let x be the first number and let y be the second number.
x * y = 6
x + y = -7
Let's first find the factor pairs of 6.
1, 6
2, 3
-1, -6
-2, -3
Now, we just need to take each factor pair and add them together and see which one equals -7.
1 + 6 = 7, so that is wrong.
2 + 3 - 5, so that is also wrong.
-1 - 6 = -7, so this is our answer (-2 and -3 added is -5, which is wrong).
Therefore, our answer is -6 and -1.
Parts for an automobile repair cost $173. The mechanic charges $32 per hour. If a person receives an estimate for at least $253 and at most $285 for fixing the car, what is the time interval that the mechanic will be working on the job?
Answer:
58
Step-by-step explanation:
The time interval for the mechanic for this job is at least 2 hours and 30 minutes or at most 3 hours and 30 minutes.
What is at least and at most concept ?At least means lower limit of a given contrast and at most means higher limit of a given contrast.
According to the given question parts for an automobile repair cost 173 dollars and the mechanic charges 32 dollars per hour.
Given the person receives a cost of at least 253 dollars.
∴ The mechanic's total rate is ( 253 - 173 ) dollars which is = 80 dollars.
Also given the mechanic charges 32 dollars per hour so the time mechanic work for is at least (80/32) hours which is = 2.5 hours or 2 hours and 30 minutes.
In the later case when the owner receives a bill of 285 dollars the total rate of mechanic is
= ( 285 - 173 ) dollars.
= 112 dollars.
So, the mechanic have worked for (112/32) hours which is
= 3.5 hours or 3 hours and 30 minutes.
learn more about at least and at most here :
https://brainly.com/question/13015019
#SPJ2
Each card in a set of cards has one of the letters from the word MATHEMATICS. The cards are shuffled. Suppose you draw a card from the set of cards, record the letter, return the card to the set, and shuffle the cards. You repeat this experiment 22 times. Would you expect the experimental probability of drawing a vowel to be the same as the theoretical probability? YES or NO and Explain you answer
Answer:
No
Step-by-step explanation:
Theoretical probability is the expected probability of anything. For example we expect a probability of 1/6 for each number when we roll a die .
Experimental Probability is the one that is obtained by the actual experimenting of rolling the die.
The theoretical probability is the example of perfect probability and experimental probability is the example of actual occurrence.
Their formulas are
Theoretical Probability = number of possible outcomes/ total number of possible outcomes
Experimental Probability = number of favorable outcomes/ total number of actual outcomes
If we a roll a fair die several times we may get 2 repeated number of times or any other number that is on the die.
So the experimental probability is bit different from the theoretical probability.
Now if the cards are shuffled and the experiment is repeated 22 times
experimental probability of drawing a vowel would not be the same as the theoretical probability because n is small.
If n→1000 or more
n→∞
According to K. Pearson or Buffon when n tends to infinity the theoretical probability becomes equal to experimental probability.
They experimented this on a coin and put forward their results.
Solve for the length of x
Answer:
[tex]\boxed {\boxed {\sf x\approx 63.7}}[/tex]
Step-by-step explanation:
This is a right triangle. We know this because there is a small square in the corner representing a 90 degree/right angle. Therefore, we can use the right triangle trigonometry ratios.
sinθ= opposite/hypotensue cosθ= adjacent/hypotenuse tanθ= opposite/adjacentWe are given angle A which measures 37 degrees.
Side BC which measures 48 is opposite angle A and the unknown side, x, is next to or adjacent to angle A.
We should use tangent.
[tex]tan \theta= \frac{opposite}{adjacent}}[/tex]
[tex]tan37= \frac {48}{x}[/tex]
Since we are solving for x, we must isolate the variable. First, cross multiply. Multiply the first numerator and the second denominator, then the first denominator and second numerator.
[tex]\frac {tan37}{1}=\frac {48}{x}[/tex]
[tex]tan37*x=48*1[/tex]
[tex]tan37*x= 48[/tex]
x is being multiplied by the tangent of 37. The inverse of multiplication is division, so we divide both sides by the tangent of 37.
[tex]\frac {tan37 *x}{tan37}=\frac{48}{tan37}[/tex]
[tex]x= \frac{48}{0.7535540501}}[/tex]
[tex]x=63.69815144[/tex]
Even though it is not specified, let's round to the nearest tenths place. The 9 in the hundredth place tells us to round the 6 up to a 7.
[tex]x\approx 63.7[/tex]
The unknown side is approximately 63.7 units long.
I need to know what X solves for
Answer:
x= 30
Step-by-step explanation:
triangle is equal to 180 n we know c=90 so now we're just looking for the other 90 so 3x=90 n solve for x
sorry im bad at explaining
Answer:
X = 30
Step-by-step explanation:
select the graph that matches the function y=3x+7
Answer:
the second option
Step-by-step explanation:
Evaluate the expression for s = -1.
Answer:
the expression for s = -1.
is s+1=0
The perimeter of a rectangular building is 462 meters. It is 131 meters long. How wide is it?
PLEASE HELP!!!!
Given f(x).... what is lim f(x)?
Answer:
[tex] \pi[/tex]
Step-by-step explanation:
[tex] Lim_{x \to\pi} f(x) [/tex]
[tex] =Lim_{x \to\pi} \pi [/tex]
([tex] \because for\: x =\pi, \: f(x) = \pi[/tex])
[tex] = \pi [/tex] (Applying limit)
This is a Single Choice Question; skip ahead to question content
A
B
C
D
E
Confirm
A disinfectant spray bottle says it eliminates 90% of bacteria with each application. You apply the disinfectant once to a countertop in the shipping department and then apply the disinfectant again to the same countertop. If the bottle is correct, what percentage of the bacteria originally on the tabletop have been eliminated?
81%
90.09%
90.9%
99%
180%
I need help I don’t understand this thank you so much
Answer:
The answer is 3,200 oz.
Step-by-step explanation:
Because since 16 oz. is equal to 1 pound, you can multiply 16 and 200 and get a result of 3,200
What type of model does the data suggest?
the variable term in 2 to the third power - 4 is
Answer:
-4²
Step-by-step explanation:
35/z=20/4 solve the proportion
plz help me solve this
Answer:
35 / 7 = 20 / 4
Step-by-step explanation:
20 / 4 equals to 5
35 / 7 equals to 5
NEED HELP ASAP TAKING TEST-On average, a person’s body temperature should be approximately 98.6°F. A doctor would like to test the hypotheses H Subscript 0 Baseline: mu = 98.6 versus H Subscript alpha Baseline: mu not-equals98.6 where μ = the true mean body temperature of all adults. Before conducting the test, the doctor determines that the power of the test to reject the null hypothesis when μ = 98 using α = 0.01 and n = 10 is 0.2474. What combination of sample size and significance level would increase the power of this test the most?
use n = 5, alpha = 0.05
use n = 5, alpha = 0.10
use n = 20, alpha = 0.05
use n = 20, alpha = 0.10
Answer:
D I think,
Step-by-step explanation:
In the first quarter of the game,the giants gained 5 yards,lost 13 yards,gained 2 yards,gained 6 yards and,unfortunately,lost 12 yards in their final play.
1.Use a number line to depict the Giants' activity in the first quarter.
2.Use addition only to illustrate the Giants' activity in the first quarter.
3.What was the net yardage for the Giants in the first quarter.
Answer:
5 + (-13) + 2 + 6 + (-12) ;
-12 yards
Step-by-step explanation:
5 yards gain = + 5
13 yard loss = - 13
2 yards gain = + 2
6 yards gain = + 6
12 yards loss = - 12
Using addition Rule :
5 + (-13) + 2 + 6 + (-12)
The net yardage :
5 - 13 + 2 + 6 - 12 = - 12
Net yardage = - 12 yards
Renee can sew a 25-square-foot quilt in 16 hours. Genera can sew the same size quilt in 12 hours. How long would it take them to sew the quilt working together? Rate (Quilts per Hour) Time (Hours) Fraction Completed Renee One-sixteenth x Genera One-twelfth x 6 hours 6 and six-sevenths hours 8 and six-sevenths hours 28 hours
Answer:
Step-by-step explanation:
Renee can sew a 25-square-foot quilt in 16 hours. Genera can sew the same size quilt in 12 hours. How long would it take them to sew the quilt working together? Rate (Quilts per Hour) Time (Hours) Fraction Completed Renee One-sixteenth x Genera One-twelfth x 6 hours 6 and six-sevenths hours 8 and six-sevenths hours 28 hours
This is calculated as:
1/ number of hours for Renee + 1/ number of hours for Geneva = 1/ Total number of hours that they can do it together
= 1/16 + 1/12 = 1/T
Lowest common denominator = 192
= 12 + 16/192 = 1/T
= 28/192 = 1/T
Cross Multiply
28T = 192 × 1
T = 192/28
T = 6 24/192 hours
Answer:
its b
Step-by-step explanation:
i just took the test :)
Two partners are starting a new business. The total investment is $52,000.
Their investments are in the ratio 3:7. How much does each investor contribute?
Answer:
One partner will pay $15600 and the other would pay $36400
Step-by-step explanation:
52000 ÷ (3 + 7) =
52000 ÷ 10 =
5200
5200 x 3 = 15600
5200 x 7 = 36400
The school that Sarawong goes to is selling tickets to a play. On the first
day of ticket sales the school sold 13 senior citizen tickets (s) and 5 child
tickets (c) for a total of $125. The school took in $85 on the second day
by selling 5 senior citizen tickets and 5 child tickets. What is the price
each of one senior citizen ticket and one child ticket?
Write the two equations to solve the system first. Use s for senior
citizens and use c for child. Show all work using the method you prefer.
Equations:
Answer:
12s + 5c = 125
5s + 5c = 85
price of senior citizen ticket = $5.71
price of a child's ticket = $11.29
Step-by-step explanation:
This question can be solved using simultaneous equation
12s + 5c = 125 equation 1
5s + 5c = 85 equation 2
subtract equation 1 from 1
7s == 40
s = 40/7 = 5.71
Substitute for s in equation 1
12(5.71) + 5c = 125
68.57 + 5c = 125
5c = 125 - 68.57
5c = 56.43
c =11.29
PLEASE HELP ME WITH THIS
Answer:
2.a..A=1/2 ×1.0×2.4=1.2m²
b.area of rectangle button=l×w=2.4×2.8=6.72m²
c.area of back =l×w=1.0×2.8=2.8m²
d.area of top =l×w=2.8×2.6=7.28m²
3.
total area =2×area of traingular side +area of rectangle button+c.area of back+area of top
=2×1.2+6.72+2.8+7.28=19.2m²
4.Assumption
total area of triangular prism is
sum of area if each faces.
Please help! Thanks in advance!!
Mrs. Smith has a 34-pound bag of sugar to use for 6 cakes. How much sugar, in lbs, is used for each cake? Round your answer to the hundredths
Answer:
5 2/3 pound of 1 cake
Step-by-step explanation:
34 / 6 =
(30 / 6) + (4 / 6) =
5 + 2/3 =
5 2/3
Martin paid $6 for4 avocados at a farm stand. He wants to know what the price would be if he bought 6 avocados
Answer:
$9
Step-by-step explanation:
divide 6/4 to get the price per avacado so its $1.5 per avacado.
multiply 1.5 x 6 = 9
In a blind taste test, 25 people chose brand A, 15 people chose brand B, and 10 people chose
brand C. There are 200 more people to be surveyed. Based on the data, which is most likely.
to happen?
About 10 more people will choose brand B than brand C.
About 30 more people will choose brand C.
About 30 more people will choose brand A than brand B.
About 100 more people will choose brand A.
Answer: About 100 more people will choose brand A.
Step-by-step explanation:
Number of people who chose brand A = 25
Number of people who chose brand B = 15
Number of people who chose brand C = 10
Total number of people = 25+10+15 = 50
Since there are 200 people left, we'll equate them based on the data given and this will be:
For A = 25/50 × 200 = 100
For B = 15/50 × 200 = 60
For C = 10/50 × 200 = 40
Therefore, about 100 more people will choose brand A.
Answer:
About 100 more people will choose brand A
Step-by-step explanation:
i ready:)
HELP ASAP PLEASE I'LL MARK BRAINLIEST
Answer:
the answer is C
The bus left Little Rock at 3:10pm and arrived at Dallas at 7:40pm. How long did it take to get from one town to the other?
Answer:
4 hrs 30 mins
Step-by-step explanation:
X désigne un nombre quelconque. Exprimer à l'aide d'une expression littérale : a. La somme de x et de 12 b. Le produit de x par 5 c. La différence entre 17 et x d. Le quotient de x par 9
Answer:
L'expression littérale est la suivante
a) La somme de x et 12 b
Solution
X + 12b
b) Le produit de x par 5
Solution
X * 5
c) La différence entre 17 et x
Solution
17-X
d) Le quotient de x par 9
X / 9
Step-by-step explanation:
L'expression littérale est la suivante
a) La somme de x et 12 b
Solution
X + 12b
b) Le produit de x par 5
Solution
X * 5
c) La différence entre 17 et x
Solution
17-X
d) Le quotient de x par 9
X / 9
Use the properties of logarithms to determine the value of logb 1. Explain your reasoning.
Answer:
[tex]log_b 1 = 0[/tex]
Step-by-step explanation:
Given
[tex]log_b 1[/tex]
Required
Solve
[tex]log_b 1[/tex]
Express 1 as [tex]b^0[/tex]
[tex]log_b 1 = log_b b^0[/tex]
Apply power rule of logarithms
[tex]log_b 1 = 0 * log_b b[/tex]
Multiply by 0
[tex]log_b 1 = 0[/tex]
Answer:
logb 1 = 0
Step-by-step explanation:
Suppose that logb 1 = x.
Using the definition of a logarithm, bx = 1.
The only way a number that’s not equal to 1 can be raised to a power and equal 1 is if the exponent is 0. So, x = 0.
Therefore, logb 1 = 0.
Mr. Bates and Mr. Z want to refinish the community center gym floor. The rectangular floor is 15.2 m wide and 25.6 long. If each gallon of polyurethane covers about 180 square meters, how many gallons should Mr. Bates and Mr. Z buy? *
Answer:
3 gallons
Step-by-step explanation:
area = 15.2 x 25.6 = 389.12 m²
389.12/180 = 2.16
5. Each polygon circumscribes a circle. Find the perimeter.
1.9 in.
3.7 in.
in
3.6 in.
A) 14.2 in
B) 16.8 in
C) 18.2 in
D) 20.1 in
See the diagram of the circumscribed polygon attached below:
Answer:
A. 14.2 in.
Step-by-step explanation:
Perimeter = 3.7 + 3.6 + 3.4 + 1.9 + g
Let's find g.
a = 1.9 in. (Tangents drawn from an external point of a circle are congruent)
b = 3.4 - 1.9 = 1.5 in.
b = c = 1.5 in. (Tangents drawn from an external point)
d = 3.6 - 1.5 = 2.1 in.
d = e = 2.1 in. (Tangents drawn from an external point)
f = 3.7 - 2.1 = 1.6 in.
f = g = 1.6 in. (Tangents drawn from an external point)
✔️Therefore,
Perimeter = 3.7 + 3.6 + 3.4 + 1.9 + 1.6 = 14.2 in.
- A school is using 12 passenger vans to transport
students on a field trip. Write an expression
represent the number of vans needed for (s)
students
Answer: s/12 = v
Step-by-step explanation:
Select all ratios equivalent to 3:5.
A) 24:40
B) 33:55
C) 4:6
Answer:
A and B
Step-by-step explanation:
Answer: B and A
Step-by-step explanation:
B, because if you divide 33:55 by 11 it equals 3/5
A, becuase 14:40 divded by 8 equals 3:5