Answer:
3p-p
Step-by-step explanation:
I always think of the negative sign out ruling the positive sign so let's do that for the -p part.
3p-p is what it becomes
Your question says simplify but just in case you want the answer here it is:
-p is also the same as -1p
So therefore we have
3p-1p
And we subtract the coefficients and keep the variable
2p would be your answer but once again I don't know if you wanted that so just to be sure I put 3p-p as my "answer".
How does the equation change if tamira has 60 dollars to spend on a mixture of almonds and cashews? How many pounds of nuts can she buy if she buys only cashews ? Only almods? A mixture of both
Answer:
Almonds cost $8 per pound and Cashews cost $10 per pound.
Assuming pounds of Almonds are denoted as a and Cashews are c, the formula will be:
8a + 10c = 60
Only Cashews:
This means that Almonds would be zero.
8(0) + 10c = 60
10c = 60
c = 60/10
c = 6 pounds of cashews
Only Almonds
8 * a + 10(0) = 60
8a = 60
a = 60/8
a = 7.5 pounds of almonds
A mixture of both.
We can use the formula above to calculate how many of each she can buy but she cannot buy more than 7.5 almonds or more than 6 cashews as she does not have enough money on her.
Assuming she wanted to buy 5 pounds of almonds, she would be able to buy:
8 * 5 + 10c = 60
40 + 10c = 60
10c = 60 - 40
c = 20/10
c = 2 pounds of cashews
solve the following system of equations
Answer:
x = 4
y = 8
Step-by-step explanation:
From the question given above,
3.2x – 0.6y = 8 .......... (1)
–0.8x + 0.9y = 4 ......(2)
We shall determine the value of x and y by using elimination method as illustrated below:
3.2x – 0.6y = 8 .......... (1)
–0.8x + 0.9y = 4 ......(2)
Multiply equation 1 by 0.8 and equation 2 by 3.2
0.8 × (3.2x – 0.6y = 8)
2.56x – 0.48y = 6.4 ......... (3)
3.2 × (–0.8x + 0.9y = 4)
–2.56x + 2.88y = 12.8....... (4)
Next, add equation 3 and 4 together. This is illustrated below:
,,,,,, 2.56x – 0.48y = 6.4
+ –2.56x + 2.88y = 12.8
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
2.4y = 19.2
Divide both side by 2.4
y = 19.2 / 2.4
y = 8
Substitute the value of y into any of the equation to obtain the value of x. Here, we shall use equation equation 1. This is illustrated below:
3.2x – 0.6y = 8
y = 8
3.2x – 0.6(8) = 8
3.2x – 4.8 = 8
Collect like terms
3.2x = 8 + 4.8
3.2x = 12.8
Divide both side by 3.2
x = 12.8 / 3.2
x = 4
From the calculations made above,
x = 4
y = 8
Solve for x and y. (Hint: Geometric mean-leg theorem) Round your answers
to the nearest tenth.
20
X
15
Y у
Answer:
x=17.5 or 18,y=12.5,or 13
Step-by-step explanation:
20-15 = 5
5÷2 = 2.5
15+2.5 = 17.5
15-2.5=12.5
the ratio between the number of vowels and consonants letters of word ALERT is
If the measure of EF is 90° , what is the arc length of EF?
Answer:
[tex]\huge\boxed{15 \pi \ \text{or} \approx 47.1 \ \text{in.}}[/tex]
Step-by-step explanation:
We can note a couple of relationships in this circle.
The arc length will be a fraction of the circumference. It will be the same fraction of the circumference that the central angle is to the entire circle.
First step: Find the circumference of the circle.
The circumference of any circle can be defined by the formula [tex]2 \pi r[/tex], where r is the radius of the circle. The radius is given to us, 30 in. We can now substitute that into the formula.
[tex]2\cdot \pi \cdot 30[/tex] [tex]60 \cdot \pi[/tex] [tex]60\pi[/tex]So our circumference is 60π.
Second Step: Find the ratio of the central angle of the arc to the total circle degrees
We know that the total amount of degrees in a circle is 360°. Therefore, we can set up a proportion to find the ratio between the central angle (90°) and the total circle measurement.
[tex]\frac{90}{360}[/tex]
Third Step: Equal out the two proportions and solve for the missing arc length
Now that we have our base proportion ([tex]\frac{90}{360}[/tex]), we can turn 60π into a proportion as well, leaving 60π as the denominator so we can solve for the arc length.
[tex]\frac{x}{60 \pi} = \frac{90}{360}[/tex]
We can now solve for x by cross multiplying.
[tex]\frac{90}{360} = \frac{1}{4}[/tex] [tex]\frac{x}{60\pi} = \frac{1}{4}[/tex] [tex]x = \frac{60\pi \cdot 1}{4}[/tex] [tex]x = \frac{60\pi}{4}[/tex] [tex]x = 15\pi \approx47.1[/tex]Hope this helped!
a cone has a volume of 1,570in3. If the height of the cone is 15 inches. Calculate the radius of the cone?
Answer:
approximately 10
Step-by-step explanation:
Volume = 1/3h times [tex]\pi[/tex] times radius square
1570 = 1/3 x 15 x 22/7 x [tex]r^{2}[/tex]
1570 = 5 times [tex]\frac{22}{7}[/tex] times [tex]r^{2}[/tex]
1570 = 15.71[tex]r^{2}[/tex]
[tex]\frac{1570}{15.71}[/tex] = [tex]\frac{15.71 r^{2}}{15.71}[/tex]
99.9 = r^2
[tex]\sqrt{99.9}[/tex] = r
≅10
The equation y=19x+350 represents the relationship between the total cost, in dollars, y, to rent a banquet hall for a party, and the number of people attending, x. The y-intercept is 350 and represents the total cost to rent the banquet hall . The slope is 19 and represents the cost per person attending
Further explanation
Answer and explanation:
The equation y=19x+350 representing the total cost for the banquet hall based on number of people attending has both dependent and independent variables.
The independent variable is x which represents the number of people attending(each person costs $19) and therefore determines the total cost y which will be the cost of the banquet hall given number of people attending x
If we make an illustration with this equation, we could plug in a number of attendants x = 200 and then observe the total cost of the banquet hall y
If x=200
y=19x+350
y= 19×200+350
y= 3800+350
y= $4150
Therefore total cost of banquet hall if there are 200 guests at the banquet hall =$4150
The total cost of the banquet hall, if there are 200 guests at the banquet hall, is $4150.
Given that,
The equation y = 19x+350 represents the relationship between the total cost,
In dollars, y, to rent a banquet hall for a party, and the number of people attending, x.
The y-intercept is 350 and represents the total cost to rent the banquet hall. The slope is 19.
We have to determine,
The cost per person attending.
According to the question,
The equation y = 19x+350 representing the total cost for the banquet hall based on the number of people attending has both dependent and independent variables.
The independent variable is x which represents the number of people attending(each person costs $19).
Therefore,
To determine the total cost y which will be the cost of the banquet hall given the number of people attending x.
Then, the total cost of the banquet hall y is,
[tex]y=19x+350\\\\y= 19\times200+350\\\\y= 3800+350\\\\y= 4150[/tex]
Hence, the total cost of the banquet hall, if there are 200 guests at the banquet hall, is $4150.
To know more about Equation click the link given below.
https://brainly.com/question/24065247
Jane spends about 1/6 of the day sleeping. How many hours in a day does Jane sleep? How many hours in a week?
Answer:
Jane spend 4 hours in a day sleeping, and 28 hours in a week.
Step-by-step explanation:
In 1 day, there are 24 hours. 24 multiplied by 1/6 is 4. I know this because 24 x 1/6 = 24/1 x 1/6 = 24/6 = 4/1 = 4.
In 1 week, there are 168 hours. 1/6 multiplied by 168 is 28. I know this because 168 x 1/6 = 168/1 x 1/6 = 168/6 = 28/1 = 28
I would appreciate brainliest.
27 yd
36 yd
What is the length of the hypotenuse?
C-
yards
Answer:
The length of the hypotenuse is: 45 yards
Step-by-step explanation:
Given
a=27 yd
b=36 yd
To Determine
Hypotenuse = c
Pythagorean Theorem
For a right-angled triangle with sides a, b, and c is defined as:
[tex]c=\sqrt{a^2+b^2}[/tex]
as
a=27
b=36
so substituting a=27, b=36
[tex]c=\sqrt{27^2+36^2}[/tex]
[tex]c=45[/tex] yards
Therefore, the length of the hypotenuse is: 45 yards
A group of friends are at a baseball game and are purchasing souvenirs. Dustin purchased 5 t-shirts and 1 baseball cap, spending a total of $119. His Mandy purchased 1 t-shirt and 1 baseball cap, which cost her a total of $43. Assuming that all of the t-shirts and all of the caps are the same price, what is the price of each?
Shirts are $____apiece and caps are $____apiece.
Step-by-step explanation:
I dont now but i think 20 or 34
Which equation represents a line that is parallel to y = -2x – 5?
A. -2r + y = -5
B. x - 2y = -5
C. 2r - y = 0
D. 2x + y = 7
SOMEONE PLEASE HELP ME I WILL GIVE YOU A GOOD RATE AND MAKE YOU THE BRAINIEST I WILL ALSO GIVE YOU A GREAT REVIEW. PLEASE I AM PRAYING I NEED HELP!!!!!!!!!
Answer:
-9
Step-by-step explanation:
-18 divided by 3 is -6
(-15)-(-6) is -9
For one week, Xavier rode his bike 5,25 miles each weekday and a total of 13 miles on the
weekend. How many total miles did Xavier ride his bike that week?
5.25 + 13
= 18.25
Xavier rode his bicycle for a total of 18.25mi in one week.
pleasee help ill give brainliest
Answer:19 1/2
Step-by-step explanation:
In a class of 25 students, 80% attended a field trip. How many students went on the field trip? 20 15 05 8
Answer:
McDonald'sssssssssssssss
20 students went on a field trip and 5 did not.
What is the function of the “whiskers” in a box and whisker plot?
A
They represent the interquartile range.
B
They link the interquartile range to the minimum and maximum.
C
They compare the lower quartile to the upper quartile.
D
They compare the median to the interquartile range.
Answer:
the answer should be c
Step-by-step explanation:
A Box and Whisker Plot (or Box Plot) is a convenient way of visually displaying the data distribution through their quartiles. The lines extending parallel from the boxes are known as the “whiskers”, which are used to indicate variability outside the upper and lower quartiles
Whiskers function in a box and whisker plot represent the interquartile range. Therefore, option A is the correct answer.
What is a box-and-whisker plot?A special kind of graph called a box and whisker plot is used to display the distribution of groupings of numerical data. It displays the median—the average value of the numbers in your data—as well as the lowest and greatest values as well as the quartiles, which divide the data into four equally-sized groups.
The whiskers are the two lines that extend outside the box and run from the minimum to the lower quartile (the box's beginning) and from the higher quartile (the box's end) to the maximum value.
Therefore, option A is the correct answer.
Learn more about the box-and-whisker plot here:
https://brainly.com/question/11859288.
#SPJ6
A.) 5
B.) 6
C.) 7
D.) 8
Answer:
C. 7
Step-by-step explanation:
First you have to find the unit rate of this equation
The unit rate is 20 students for every 1 teacher because 40 divided by 2 is 20
so if you do 140 divided by 20 your answer is 7
there are 7 teachers
Ms. Peters has 36 red, blue, and green markers. She has an equal number of each color of marker. She arranges the red markers in 2 equal groups. How many red markers are in each group?
Answer: 18
Step-by-step explanation: hope this helps!
Answer:
6
Step-by-step explanation:
There are three colors. Divide three into 36 to get 12. Meaning that there are 12 green, 12 blue, and 12 red. She split the red markers into 2 equal group. Take 12 and divide that by 2, giving you 6.
If a = 7 and b = 11, what is the measure of ∠B? (round to the nearest tenth of a degree) A) 32.5° B) 39.2° C) 50.5° D) 57.5°
Answer:
D) 57.5°
Step-by-step explanation:
As the question is not complete. So, let's suppose it is a right angle triangle then, we can apply Pythagoras theorem to calculate the hypotenuse or the third side.
Pythagoras Theorem = [tex]c^{2}[/tex] = [tex]a^{2} + b^{2}[/tex]
a = 7 and b = 11
[tex]a^{2}[/tex] = 49
[tex]b^{2}[/tex] = 121
Plugging in the values, we will get:
[tex]c^{2}[/tex] = 49 + 121
[tex]c^{2}[/tex] = 170
c = [tex]\sqrt{170}[/tex]
To calculate the unknown angle B, we can use law of sine.
Law of sine = [tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]
So,
[tex]\frac{c}{sinC}[/tex] = [tex]\frac{b}{sinB}[/tex]
[tex]\frac{\sqrt{170} }{sin90}[/tex] = [tex]\frac{11}{sinB}[/tex]
Sin90 = 1
sinB = [tex]\frac{11}{\sqrt{170} }[/tex]
B = [tex]sin^{-1}[/tex] ([tex]\frac{11}{\sqrt{170} }[/tex])
B = 57.5°
i’ll give brainliest help
Answer:
This will be letter j). 1,767.1 in 3
Step-by-step explanation:this is the closest estimate to the cubic inch plz brainliest
√500 simplify the radical expression
Answer:
=10√5 or 22.36068 as a decimal
the ^ is to the power of
Step-by-step explanation:
2^2 x 5^3
=[tex]\sqrt{2^{2} 5^{3} }[/tex] (you don't need the x it just did not let me put it in otherwise)
apply the exponent rule 2^2 x 5^3= 5^2 x 5 = √2^2x5^2x5
√2^2x5^2x5= √2^2 √5^2 √5= √2^2√5^2√5
next, apply the radical rule
√2^2=2 =2√5^2 √5
√5^2=5 = 2x5√5
=10√5 which is also 22.36068 as a decimal
SOMEBODY PLEASE PLEASE PLEASE HELP ME!!!!!
find angle X on the given figure. m
Answer:
I believe the angle X is 47.
Which property is shown here?
4 + (5 + 3a) = (4 + 5) + 3a
O Distributive Property
O Associative Property of Addition
O Commutative Property of Multiplication
O Commutative Property of Addition
O Associative Property of Multiplication
> Next Question
Cynthia invests some money in a bank which pays 5% compound interest per year.
She wants it to be worth over £8000 at the end of 3years.
What is the smallest amount to nearest pound she can invest?
Answer:
£6,910.70
Step-by-step explanation:
The computation of the amount invested is given below:
As we know that
Amount = Principal × (1 + rate of interest)^number of years
£8000 = Principal × (1 + 0.05)^3
£8000 = Principal × 1.05^3
£8000 = Principal × 1.157625
So, the principal amount is
= £8000 ÷ 1.157625
= £6,910.70
-10x = 50 ?
A) x=10
B) x= -5
C) x=5
D) x=25
what is the slope and y-intercept of the line represented by 3x=15
Answer:
The slope is undefined and there is no y- intercept
Step-by-step explanation:
The line is equivelent to x=5
This is a vertical line so the slope is undefined and there is no y- intercept
Answer:
Slope: 0
Y-intercept: 5
Step-by-step explanation:
First, you need to move the equation into slope-intercept form.
Divide both sides by 3.
x = 5
Since there is no number to the right of the y - intercept, we just assume that the slope is 0.
Please mark me Brainliest, I need it to move onto the next level. <3
15 point question
The cost per person c of chartering a tour bus
varies inversely as the number of passengers
n. If it costs $22.50 per person to charter a
bus for 20 passengers, how much will it cost
per person to charter a bus for 36 passengers?
Answer:
It will cost $12.5 per person to charter a bus for 36 passengers
Step-by-step explanation:
The cost per person c of chartering a tour bus varies inversely as the number of passengers n.
We can write:
[tex]c\:\alpha \:\frac{1}{n} \\c=\frac{k}{n}[/tex]
where k is constant of proportionality
We are given when c = 22.50, n = 20
We need to find c when n = 36
First using c = 22.50, n = 20 we will find k, the constant of proportionality
[tex]c=\frac{k}{n}\\22.50=\frac{k}{20}\\k=22.50 \times 20\\k=450[/tex]
So, we get k = 450
Now, we will find c when n = 36
[tex]c=\frac{k}{n}\\c=\frac{450}{36}\\c=12.5[/tex]
So, we get the value of c: c = 12.5
Therefore, It will cost $12.5 per person to charter a bus for 36 passengers
Miguel buys a car for $12,999.The tax is 6% what is the total price of the car
Answer:
13778.94
Step-by-step explanation:
did it on my calculator
After a discount of 35%, you pay $35.71 for a video game. What was the original price of the game?
