Answer: Peter worked 9 hours at job a
Step-by-step explanation:
Step 1
Let the number of hours worked in job a = x
and number of hours worked in job b = y such that the total hours worked would be expressed as
x=y= 24 ---eqn 1
also since $6 and $9 dollar are paid per hour for the job and the total amount made is $189, it should be expressed as
6x + 9y =$189--- equation 2
Step 2
Now we have gotten two expressions to solve for number of hours, we can now solve
x+y= 24 ---eqn 1
6x + 9y =$189--- eqn 2
Using elimination method, we multiply equation 1 by 6 and subtract from equation 2
6x + 9y =189
-6x+6y=144
3y=45
y= 45/3 =15
To find x
x+y = 24
x+15=24
x= 24-15
x= 9
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Therefore Peter worked 9 hours at job a and 15 hours at job b
can someone help me pls );
Answer:
Hope it helps you,
Step-by-step explanation:
As the figure can be split in to 3 geometric figure,
Rectangle , Triangle and Semi circle ,
So first find the area of these figures then add up them ,
Area of rectangle = Length * width
Length = 20m m and width = 14 mm
hence
Area of rectangle = 20*14 = 280 mm^2
Now ,
Are of Circle = [tex]\\ \pi *d^{2} /4[/tex]
Then Area of semi circle = [tex]\\ \pi *d^{2} /8[/tex]
Hence we have d= 20mm
Putt in semi circle formula we get,
Area of Semi Circle= (3.14)*400/8 = 157 mm^2
Now area of triangle = 1/2 * length*width
length =32-20 = 12 mm
width = 14 mm
putt in the formula we get ,
Area of triangle = 1/2*12*14 = 84 mm^2
Now add these 3 Areas to get total Area,
Total Area = 84+157+280 = 521 mm^2
which quadrilateral makes this statement true? Quadrilateral ABCD
Answer:
A.
Step-by-step explanation:
Similar polygons have corresponding sides that are proportional and corresponding angles that are -
A congruent
B parallel
C similar
D proportional
What is the density of an object with a mass of 30g and a volume of 10mL
Answer:
3 grams/cubic centimeter
Step-by-step explanation:
Density formula is mass divided by volume
30/10=3
3 grams/cubic centimeter
Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or negative correlation, describe its meaning in the situation. Domestic Traveler Spending in the U.S., 1987-1999 Spending (dollars in billions) A graph titled Domestic Traveler Spending in the U S from 1987 to 1999 has year on the x-axis, and spending (dollars in billions) on the y-axis, from 225 to 450 in increments of 25. Year Source: The World Almanac, 2003
Answer:
A
Step-by-step explanation:
ifunny is dankreloaded
The solution is, Option B Negative ,as time passes, speed decreases.
What is Correlation?Positive Correlation= With Increase in x value, y value also increases or vice versa, we call it positive correlation.
Negative Correlation= With Increase in x value, if y value decreases or vice versa, we call it negative correlation.
here, we have,
Description of the Graph
1. The Relation between , Speed and time is depicted on the graph.
2. Minute = x coordinate
Miles per hour= y coordinate
The points shown on the graph , describing the relationship are, (5,15),(10,13.8),(15,11),(20,10),(25,9.8).
There are two types of Correlation
Positive Correlation= With Increase in x value, y value also increases or vice versa, we call it positive correlation.
Negative Correlation= With Increase in x value, if y value decreases or vice versa, we call it negative correlation.
As you can see from the points plotted on the graph ,with increase in x value , y value decreases.
So it is negative correlation.
As, time passes, Speed Decreases, So it is a Negative Correlation.
Option B Negative ,as time passes, speed decreases.
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60 people were asked the colour of their car and the pictogram shows the results.
a) 16 cars are red. Complete the key.
b) How many cars are silver?
KEY: One circle represents __ cars
Red = 4 circles
White = 3 circles and a half
Silver = 5 circles and 3/4
Grey = 1 circle and 3/4
The number of silver cars in the pictogram is 23.
How many cars are silver?If 16 cars are red, then, each circle represents 4 cars.
If each circle represents 4 cars, then, each quarter of a circle represents 1 car
White car = 4 + 4 + 4 + 2
= 14 cars
Silver = 4 + 4 + 4 + 4 + 4 + 3
= 23 cars
Grey = 4 + 3
= 7 cars
Total cars = red + white + silver + grey
= 16 + 14 + 23 + 7
= 60 cars
It can therefore be concluded that silver cars is 23 in number.
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If 4 units equal 36 inches, what is the value of 1 unit
Answer:
9 inches
Step-by-step explanation:
i divided 36 by 4
Answer:
9 inches
Step-by-step explanation:
You divide 36 by 4 which gives you 9 inch
Mark Brainliest Pls :(
Solve w^2+13w+42=0 by factoring.
Answer: {-7, -6}
Explanation: When an equation has a squared term in it,
it's called a polynomial equation.
The rule for solving a polynomial equation
is to first set it equal to 0, then factor.
Since this equation is already set equal to 0, we can factor the left side.
The left side is a trinomial that can be
factored as the product of two binomials.
The first term in each binomial will be a factor of the w².
Since w² factors a w · w, we use a w as our first term.
For the last terms, we use factors of 42 that add
to 13 and these factors are +7 and +6.
So we have (w + 7)(w + 6) = 0.
So either w + 7 = 0 or w + 6 = 0.
Solving for w in each equation, we find that our solution set is {-7, -6}.
The ratio of a:b is 3:4.
the ratio of b:c is 5:3.
work out the ratio of a:c
solve this please
log(4x+16)=2
Answer:
X = -3.5
Step-by-step explanation:
Answer:
-7/2
Step-by-step explanation:
4x+16=2
-16 -16
4x= 2-16
4x=-14
/4 /4
x= -7/2
Please help me mark u brainliest anything please i beg u : and i am lady
in the interval 0 x 360 find the values of x for which tan x =-0.6745
Answer:
180
Step-by-step explanation:
Help!! will give brainiest! please no joke answers this is due by midnight
at a basketball game, 18% were supporting the visiting team. if 2624 people attending supported the home team, what was the total number of people attending the game?
Answer:
2624= 82%
18%= 2624/82=32. 32*18=576
Step-by-step explanation:
If 2624 people attending supported the home team, the total number
of people attending the game will be 3200.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.
It is given that 18% were supporting the visiting team and 2624 people attending supported the home team as a result 82 % were supporting the home team,
Let the total number of people attending the game be x.
⇒82% of x = 2624
⇒(82/100)×x= 2624
⇒x= (2624×100)÷82
⇒x=3200
Hence, if 2624 people attending supported the home team, the total number of people attending the game will be 3200.
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7/12
Which expression is equivalent to this fraction?
Answer:
12/7
Step-by-step explanation:
yes ! cd
An 8-pack of toy cars costs $5.97. What is the unit price, rounded to the nearest cent?
Answer:
$0.75 per toy car
Step-by-step explanation:
Divide 5.97 by 8
5.975/8=0.746875
Now round to the nearest cent which is the hundredths place
0.75
What will be true about the sixth term in the pattern below?
1, 2, 4, 8, ...
It will be an even number greater than 16.
It will be an even number greater than 32.
It will be an odd number greater than 16.
It will be an odd number greater than 32.
HIIIOO can someone please help me! I miss class and I don’t know what we learned about❤️
Answer:
The answer is C
Step-by-step explanation:
I got this by these steps:
1. Since you have the transversal FH you know that H is going to equal 180
2. So all you do know is subtract 180-82
3. You get 98
4. M<FHJ is 98
Hope that helps
Answer:
=28
Step-by-step explanation:
since its made of two triangles, you can calculate one of the triangles and multiply by two
the degrees of a triangle is 180 degrees
70+82= 152
180-152= 28
can i get brainiest plsss
A 381 foot cable runs from the top of a radio tower to a skate in the ground. If it hits the ground 167 feet from the base of the tower , what is the angle of elevation that is makes with the ground?
Answer:
64°
Step-by-step explanation:
Using Pythagoras rule :
Cosθ = adjacent / hypotenus
Adjacent = 167
Hypotenus = 381
Cosθ = 167 / 381
Cosθ = 0.4383202
θ = Cos^-1(0.4383202)
= 64.003
Hence, angle of elevation = 64°
Solve the following proportion for x.
X/13 = 17/7
Round your answer to the nearest tenth.
Answer:
31.6
Step-by-step explanation:
x / 13 = 17 / 7
7x = 221
x = 221 / 7
x = ~31.6
Jason needs to run 30 laps before basketball practice. His coach makes a deal with the team that on Friday’s they only need to complete 5/6 of that.
Write an expression or equation to represent the number of laps to complete on Friday.
Answer:
a little bit less than 30
Step-by-step explanation:
The winning time for a race are shown in the table.
Which answer describes the average rate of change from year 2 to year 4?
A) the winning time increased by an average of 0.4 second per year from year 2 to year 4.
B) the winning increased by an average of 0.8 second per year from year 2 to year 4.
C) the winning time increased by an average of 0.475 second per year from year 2 to year 4.
D) the winning time increased by an average of 0.267 second per year from year 2 to year 4.
Answer:
The winning time increased by an average of 0.4 second per year from year 2 to year 4.
Step-by-step explanation:
I just took the quiz
The winning time for a race displayed in the table would be:
A). The winning time increased by an average of 0.4 seconds per year from year 2 to year 4.
Find the increase in winning time:Given that,
Year Winning Time(seconds)
1 27.5
2 28.4
3 28.7
4 29.2
5 29.44
The total change in the time = (0. + 0.3 + 0.5 + 0.24)/4
= 0.485 seconds
If we round off, it becomes 0.5 seconds.
Therefore, it can be considered that an average of 0.5 seconds changes every year from year 2 to 4.
Thus, option A is the correct answer.
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Answer fast!!!!!!!!!
Answer:
$0.52 = 0.52
Step-by-step explanation:
I think so.....
ILL GIVE BRAINLIEST FOR FIRST ANSWER!
Divide.
12÷18
Answer:
0
Step-by-step explanation:
what is 8.154 to 1 decimal place?
Five integers have a mean of 8. The
integers are 7, 3, 10, 13, X. Find the
value of x.
Answer fast!!!!!!!!!!!!!!
Which equation represents a line that is perpendicular to line PQ?
10
U
-
.
- 10
-8
-6
-2
-60
10
2
4
on
8
-10
OA y = 3s - 2
OB. y = 3+ + 4
OC y = -5 -5
= -33 +6
o
D.
Write equation of a line parallel or to a y=2x+3 that passes the ordered pair (3,6)
Answer:
y = 2x
Explanation:
To write the equation of a line u use the formula y = mx + b, where
y = y coordinate
m = slope
x = x coordinate
b = y intercept
One thing about parallel lines is that they always have the same slope. If you want to find a line parallel to y = 2x + 3, then the parallel line will also have a slope of 2.
So far, then, the equation would look like this: y = 2x + b
To find the y-intercept, we substitute in the values from (3,6) into the equation because the line passes through that point. So:
y = 2x + b
(6) = 2(3) + b
6 = 6 + b
6 - 6 = b
b = 0
Since the y-intercept is 0 (so the line passes through the origin), it doesn't need to be written on to the end of the equation.
y = 2x + 0 is just
y = 2x
That's your final equation! hope this helps!
MANUFACTURING. The number of cars built varies
directly as the number of hours the production line
operates. What is the ratio of cars built to hours of
production? At this rate, how many cars can they
build in 5 hours?
Answer:
60 cars per hour
Step-by-step explanation:
Katie answered 2/3 of a 15 problem math correctly. How many questions did Katie answer incorrectly?