Answer: 122.5
Step-by-step explanation:
First, you have to do the distributive property for all numbers. In order to do that, you must first combine like terms.
Combining like terms are numbers that are in the parenthesis that don't have an exponent, variable, etc. In this case, you would combine 12 and -7 since they are in the same parenthesis case. 12-7 would be 5. Now, you have 7[2.5] + 3(5)]
Next, you use PEMDAS which means multiplication (parenthesis) is next which means you multiply 3 and 5. 3x5 - 15.
After that, you combine like terms again with the 2.5 and the 15 since the 15 is now out of the parenthesis. 2.5 + 15 = 17.5
Finally, you take the 7 and multiply that by 17.5 now that you have those 2 numbers left and they are in the brackets. 17.5x7 is 122.5!
However, if there is a variable to solve for, then the answer would be none/no solution because both sides are not equal.
A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 160 lb and each box of books weighs 50 lb. The maximum capacity of the elevator is 1000 lb. How many boxes of books can the delivery person bring up at one time?
If a delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 160 lb and each box of books weighs 50 lb. The maximum capacity of the elevator is 1000 lb. The number of boxes of books that the delivery person can bring up at one time is: 16.8 boxes.
Number of boxes of booksGiven:
Weight of the delivery person=160 lb
Weight of box of book=50 lb
Maximum capacity=1,000lb
Let b represent the number of boxes of books
Hence,
160+50b=1,000
Collect like terms
50b=1000-160
50b=840
Divide both side by
b=840/50
b=16.8 boxes of books
Therefore the maximum capacity of the elevator is 1000 lb. The number of boxes of books that the delivery person can bring up at one time is: 16.8 boxes.
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PLEASE CAN SOMEONE HELP ME I"M STUCK PLEASE I WOULD REALLY APPRECIATE!!
Answer:
Step-by-step explanation:
subsitute x with value given in bracket
a) f(1) = (1)² + 1 = 2
b) f(-3) = (-3)² + 1 = 10
c) f(b³) = (b³)² + 1 = b^6 + 1
d) f(x-1) = (x-1) +1 = x
Which of the following identifies the individuals in the
set?
The individuals of a set are the various data or variable of a data set.
The study's participants or study subjects are referred to as individuals. The trait of the person being measured or observed is known as a variable. For instance, if we were to do a research on climbers of Mount Everest, the participants would be the real climbers who succeeded in reaching the summit.
A categorical variable places each individual in to a category such as male or female.
A quantitative variable has numerical values that measure some characteristic of each individual, such as height in centimeter or salary in dollars.
The problem deals with the concept of types of variables. We use the definition of variables to identify/determine the type variable from the known information.
The individuals in the data set are vehicles or cars.
The given information is related to the different types of cars and its model, and specifications. Hence, the vehicles or cars are individuals in the data set.
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Sandra, who is paid time-
and-a-half for hours worked in excess of 40 hours, had
gross weekly wages of $442 for 48 hours worked. What is
her regular hourly rate?
Answer:
let's assume that Sandra's regular hourly rate is x dollars per hour then she is paid 1.5x per hour for the overtime and we have 40x + (48 - 40) *1.5x = 442
Step-by-step explanation:
Please find the value of each variable
Step-by-step explanation:
I assume these are all angles.
4x is the arc angle (at the center of the circle) between the 2 endpoints of the short triangle side (baseline).
the trials itself is isoceles, so both legs have the same length, bedclothes the arc angles between their endpoints are equal.
now, when we move the reference point of an arc angle back, back, back to the circle arc, the angle is cut in half.
so, the inner top angle of the triangle is therefore 4x/2 = 2x.
because of the isoceles nature, the second triangle inner angle at the baseline is also x.
the sum of the triangle angles is therefore
2x + x + x = 4x
and we know the sum of all angles in a triangle is always 180°.
so,
4x = 180
x = 180/4 = 45°
4x is then again 180°, and 2× 8y are then the remaining 180° of the full circle 360°.
2× 8y = 180
8y = 90
y = 90/8 = 11.25
x = 45
y = 11.25
A new go-cart track has opened up in your neighborhood. They charge $10 for a license and $3 for each ride . If you paid in total of $22 , how many rides did you take
Answer:
Step-by-step explanation:
4 rides
Answer:
4 rides is the answer to this question
Pregunta 11
Sin responder
aún
Puntua como
1,0
Desmarcar
¿Cuál de las siguientes expresiones es un número natural?
O a). √2
O b). /6_6
OC). 5-√12
O d). √25
Oe). √8
Help? fraction multiplication as scaling AYUDA HELP
Answer:
1) 1/2 × 3/5 = 45/150
2) 5/5 × 3/5 = 90/150
3) 2 2/3 × 3/5 = 1 90/150
Explanation below
Explanation belowHope this helps :)
Step-by-step explanation:
1/2 × 3/5 = 3/10
2 2/3 × 3/5 = 8/3 × 3/5 = 24/15
5/5 × 3/5 = 15/25
We need to find the Least Common Multiple (LCM) to order them from least to greatest.
The LCM is 150.
3/10 = 45/150
24/15 = 1 9/15 = 1 90/150
15/25 = 90/150
So the order from least to greatest is ...
1) 1/2 × 3/5 = 45/150
2) 5/5 × 3/5 = 90/150
3) 2 2/3 × 3/5 = 1 90/150
oi i need an answer for this question what number is the blue dot imma get some woh'oh please answer
Which of the following is an equivalent expression of 15x2 +12x + 8?
Answer:
15 (x + 2\/5)^2 + 28\/5
Step-by-step explanation:
The freezing point of water in degrees Celsius is 0 while in degrees Fahrenheit it is 32. The boiling point of water is 100 degrees Celsius and 212 degrees Fahrenheit. Given that the function F is linear, use this information to find an equation for F
The function F to be used to convert the temperature is; F = ⁹/₅C + 32
How to Solve Algebra Word Problems?
From the given information, we can tag the coordinates as;
(32,0) and (212,100)
Thus, the slope is calculated as;
m = (100-0)/(212-32)
m = 100/180
m = 5/9
The intercept is;
c = y - mx
c = 0 - (5/9)(32)
c = 0 - 160/9
c = -160/9
The line equation is;
y = 5/9 x + (-160/9)
y = 5/9 x - 160/9
y = 5/9 (x - 32)
Let x = F and y = C and we have;
F = ⁹/₅C + 32
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Taynia makes a quilt using fabric squares.
The side length of each fabric square is
the square root of the area. The area of
each fabric square is 40 square inches.
Which could be the approximate side
length of a square on the quilt?
The approximate side length of a square on the quilt = 6.32 inch
In this question,
Taynia makes a quilt using fabric squares.
We have been given the side length of each fabric square is the square root of the area.
Here, the area of each fabric square is 40 square inches.
We need to find the approximate side length of a square on the quilt.
Let A be the area.
A = 40 square inches
To find the side length, we need to take the square root of 40.
Let s be the side length.
⇒ s = √A
⇒ s = √40
⇒ s = 6.32 inch
Therefore, the approximate side length of a square on the quilt = 6.32 inch
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i am equivalent to 5/6 the sum of my numerator and my denominator is 44 the sum of the digits in my denominator is 6 what fraction am i
Step-by-step explanation:
a/b = 5/6
a + b = 44
a = 44 - b
so, the first equation is
(44 - b)/b = 5/6
44 - b = 5b/6
264 - 6b = 5b
264 = 11b
b = 24
a = 44 - b = 44 - 24 = 20
the fraction is a/b = 20/24.
Also 2+4 as sum of the digits of the denominator = 6 is correct.
What is the slope of a line perpendicular to the line whose equation is 4x+5y=354x+5y=35. Fully simplify your answer.
The perpendicular slope is expressed as the negative reciprocal of the slope or − 1 m. In this scenario, the slope, or m, is −4 so the slope of the perpendicular line is − 1 −4 which simplifies to 1 4
an example of a unti price youd find in germany-
Find the measure of the missing angles.
62°
b\co
The measures of angles B and C are 118° and 62°, respectively.
What are the measures of two missing angles generated by the intersection of two lines?
A system of three angles is generated by two lines intersecting each other. In accordance with Euclidean geometry, angle C is opposite to the angle with measure 62° and angle B is supplementary to the same angle.
When two angles are opposite, then both have the same measure, and when two angles are supplementary, then the sum of their measures equals 180°. Therefore, the measures of angles B and C are 118° and 62°, respectively.
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What’s 0.076952 to its 3dp
Answer: Original value: 0.076952
Value (with 3 decimal places): 0.077
Step-by-step explanation: hope this helps
Find the sum horizontally.
(ab²+26²)+(-6cab² +26²)=
we get the sum of (a b² + 26² ) + ( - 6 c a b² + 26² ) as a b² ( 1 - 6 c) + 1352.
We are given the expression:
(a b² + 26² ) + ( - 6 c a b² + 26² )
We need to find its sum.
a b² + 26² - 6 c a b² + 26²
a b² - 6 c a b² + 26² + 26²
a b² - 6 c a b² + 676 + 676
a b² - 6 c a b² + 1352
a b² ( 1 - 6 c) + 1352.
Therefore, we get the sum of (a b² + 26² ) + ( - 6 c a b² + 26² ) as a b² ( 1 - 6 c) + 1352.
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At a used book sale, all paperback books are the
same price. Henry buys 4 paperback books for
$3.20. Lainey buys 9 paperback books.
Answer:
Uh Lainey spends 7.20$
Step-by-step explanation:
3.2/4 is 1 book price, 0.8 is one book price, so 9 books price is 0.8*9 which is 7.2
31. What is the formula for the perimeter of a square with the side s
and a perimeter p?
Answer: p = 4s
Step-by-step explanation:
The perimeter is the measurement around a shape's sides. In other words, if a square has four sides, we will add up all the sides to find the perimeter.
Since a square's sides are all congruent, we can multiply the length of one side (s) by 4 to find the total perimeter (p). This becomes:
p = 4s
the student council hosted a bake sale. Of the 40 items brought to sell,18 were browines.what percent of the bake sale items were browines
Answer: 18 is 45% of 40
18/40 =.45
.45 x 100 = 45%
Lamar goes for a bike ride every day. For the last two weeks, he tracked the distance he rode and his time. He made a scatter plot to show the relationship between the distance and time for each of his bike rides.
Which of the following is the best estimate for how long it would take Lamar to ride 15 miles?
Answer:
Where exactly is the "the following" you are talkibg about.
Answer:40 miles
Step-by-step explanation:
please help (clearer photo)
Step-by-step explanation:
2a: Domain [3,7] Range: [1,5]
2b: domain: (-infinity, 1] Range: All real numbers
2c: domain [-3, 6] range [-4,2]
2d: (-infinity,-2] U (2, infinity] range: [0, infinity)
2e domain is [0, infinity) range is all real numbers
A is between c and t. if ct = 25 and at = 18, what is the length of segment ca?
The length of the segment CA is 7.
Length of the segment
Basically, length of the line segment is fixed, which is the distance between two fixed points.
The length here can be measured by metric units such as centimeters (cm), millimeters (mm) or by conventional units like feet or inches.
Given,
A is lies between C and T.
Then the values of CT = 25 and AT = 18.
Now we have to find the length of the segment CA.
Consider the point C, A and T are in straight line.
Then A lies between C and T.
So, it is the center point between C and T.
Here we have the length of total line that is
=> CT = 25.
And the length of AT, that is
=> AT = 18.
Then we need to find the length of the segment CA,
By subtracting the length of AT from the total length CT,
That is,
=> CA = CT - AT
Apply the values,
=> CA = 25 - 18
=> CA = 7.
Therefore, the length of the segment CA is 7.
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A marathon is 26.2 miles. How many hours would it take a runner whose average speed is 4.25 meters/sec to complete a marathon?
Given the distance and average speed, the runner will take approximately 2.76 hours to complete the marathon.
How long will it take the runner to complete the marathon?
Speed is simply distance traveled per unit time.
Speed = distance / time
Given the data in the question;
Distance = 26.2 milesSpeed = 4.25m/sTime t = ?First, convert the unit of distance from miles to meter.
Distance = 26.2 miles = ( 26.2 × 1609.34 )m = 42164.708m
Now, plug the values into the equation and solve for time.
Speed = distance / time
4.25m/s = 42164.708m / time
Time = 42164.708m ÷ 4.25m/s
Time = 9921.1077647s
Next, convert to hours,
Time = 9921.1077647 ÷ ( 60 × 60 )
Time = 9921.1077647 ÷ 3600
Time = 2.76 hours
Given the distance and average speed, the runner will take approximately 2.76 hours to complete the marathon.
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15.
if the measure of angle 2 is 8x + 10 and the
measure of angle 6 is x^2-38, what is the measure
of angle 8
a. 42
b. 74
c. 84
d. 106
e. 138
The measure of the angle 8 is option (d). 106.
Measure of Angle
Angle measurement is the amount of rotation from the initial to an endpoint of a ray.
Given,
Measure of Angle 2 = 8x + 10
Measure of angle 6 = x² - 38
Here we need to find the measure of angle 8.
Let us consider the angle 2 and 6 are corresponding angles.
Then,
Measure of Angle 2 = Measure of Angle 6
Apply the corresponding values,
Then we get,
8x + 10 = x² - 38
It can be written as,
=> x² - 38 - 8x - 10 = 0
=> x² - 8x - 48 = 0
When we factorize the equation,
Then we get,
=> (x + 4) ( x - 12) = 0
Then the value of x will be x = -4 and 12.
Here the value of x can't be negative.
So,
=> x = 12
Now apply the value of x on the measure of angle 2,
=> 8(12) + 10
=> 96 + 10
=> 106
So, the measure of angle 8 is option (d). 106.
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Please help thank youuu
Answer:
f(-7) = -15
g(-3) = 27
Step-by-step explanation:
We see that the functions defined are:
f(x) = 2x - 1
AND
g(x) = 2x^2 - 3x
This problem asks to find f(-7) and g(-3). To find this, we have to plug the respective numbers into the respective functions.
f(-7) = 2 (-7) - 1
f(-7) = - 14 - 1
f(-7) = -15
g(-3) = 2(-3^2) - 3(-3)
g(-3) = 2(9) + 9
g(-3) = 18+9
g(-3) = 27
FINAL ANSWER: f(-7) = -15, g(-3) = 27
Ms. longora has two bags of wid- bird seed. the first bag has 20 ounces of wild- bird sod, and the second bag has 3; times as much wid-bird seed as the first. ms. longoria uses ; of the wild-bird seed from the larger bag to feed the birds in her backyard. how many ounces of wild-bird seed did she use?
Answer:
2
Step-by-step explanation:
One spring day, Hunter noted the time of day and the temperature, in degrees
Fahrenheit. During that time, the temperature rose, stayed steady, and fell, at
different rates. On the set of axes below, Hunter created a graph of temperature over time.
How long did the temperature hold steady for??
For 6 hours the temperature is held steady
Solution :
Line Graph:
A line graph—also known as a line plot or a line chart—is a graph that uses lines to connect individual data points. A line graph displays quantitative values over a specified time interval. In finance, line graphs are commonly used to depict the historical price action of an asset or security.
Line graphs can be compared with other visualizations of data including bar charts, pie charts, and (in trading) candlestick charts, among others
Temperature Rose:
It is the increase over ambient temperature of the winding due to energizing and loading
stayed steady:
A steady situation continues or develops gradually without any interruptions and is not likely to change quickly.
Temperature fall :
Temperature drop (T1−T2) is a direct indication of energy extracted. For a given resource, it is dependent on T2 which is in turn dependent on the minimum temperature of the process Ti.
There, we can see that the temperature between 12 noon to 6 pm is not changed much.
therefore we can say that for 6 hours the temperature is holding steady.
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Adding -6 is the same as:
Answer:
It is the same as subtracting 6.
Step-by-step explanation:
1 + (-6) = 5
1 - 6 = 5