8p + 5r = q
We have to isolate the variable p. Let's begin by subtracting 5r from both sides.
8p = q - 5r
Divide both sides by 8
p = [tex]\frac{q - 5r}{8}[/tex]
[tex]8p + 5r = q[/tex]
Subtract 5r on both sides of the equation.
[tex]8p = - 5r + q[/tex]
Divide both sides of the equation by 8.
[tex]p = \frac{ - 5r + q}{8} [/tex]
please help meeeeeeeee
Answer:
2 4/5 and 3 2/3
Step-by-step explanation:
find how many times the denominator can go into the numerator the left over numbers are now your second part of the fraction going with the whole number
Help me and show me how to do it
BRAINLIEST!!Felicia had $80 when she went to a music store that charges $18 for each CD. She needs to have no less than $20 in her wallet when she leaves the store so she has enough money to buy gas for the ride home.
Which shows a possible number of CDs she could buy? Select three options.
1
2
3
4
5
Answer:
The possible number of CDs she could buy is 1, 2, and 3.
Step-by-step explanation:
First, you have to make an equation to solve to find the answer(s):
80 - (18 · x) ≥ 2080 is how much money Felicia has; 18 is for the cost of each CD; x is for the number of CDs; ≥ is no less; and 20 is how much money Felicia needs to have left.1.) 80 - (18 · 1) ≥ 20
80 - 18 · 1 ≥ 20
80 - 18 ≥ 20
62 ≥ 20
Since 62 ≥ 20 is always true, there are infinitely many solutions.
2.) 80 - (18 · 2) ≥ 20
80 - 18 · 2 ≥ 20
80 - 36 ≥ 20
44 ≥ 20
Since 44 ≥ 20 is always true, there are infinitely many solutions.
3.) 80 - (18 · 3) ≥ 20
80 - 18 · 3 ≥ 20
80 - 54 ≥ 20
26 ≥ 20
Since 26 ≥ 20 is always true, there are infinitely many solutions.
4.) 80 - (18 · 4) ≥ 20
80 - 18 · 4 ≥ 20
80 - 72 ≥ 20
8 ≥ 20
Since 8 ≥ 20 is false, there is no solution.
5.) 80 - (18 · 5) ≥ 20
80 - 18 · 5 ≥ 20
80 - 90 ≥ 20
- 10 ≥ 20
Since - 10 ≥ 20 is false, there is no solution.
Answer:
1,2,3
Step-by-step explanation:
Can somebody help me out on this question I would really appreciate it so much . Please and thank you .
Step-by-step explanation:
AB = AC, so mark the two sides with single tick marks.
m∠ACD = 128°, so label the angle 128°.
∠ACB is supplementary to ∠ACD, so:
m∠ACB + m∠ACD = 180°
m∠ACB + 128° = 180°
m∠ACB = 52°
ΔABC is an isosceles triangle, so m∠B = m∠ACB.
m∠B = m∠ACB
m∠B = 52°
Angles of a triangle add up to 180°, so:
m∠A + m∠B + m∠ACB = 180°
m∠A + 52° + 52° = 180°
m∠A = 76°
what is the reciprocal of 15 1/4
The reciprocal of 15 1/4 is 4/61
Step-by-step explanation:
15 1/4 multiply 15 by 4 and then add 1 it will give you 61/4 then you change into reciprocal which will be 4/61
Describe what is means for slope to be a ratio
Answer:The slope of a line is the ratio of the 'change' in y to the 'change' in x (ratio of vertical change to horizontal change) often referred to as rise compared to run. .
Step-by-step explanation: heart it up
Look at this angle what is the vertex
Answer:
T
Step-by-step explanation:
T is the vertex because vertex is the point from which the arms of any angle form.
Can someone help me plssssss ;w;
The magnitude of an earthquake depending on the energy it produces can be modeled using the equation M = 0.6666 log x – 3.2. Complete the sentences about the model.
The curve representing the relationship includes the point_______ .
The growth factor is________ .
An earthquake with an energy level of has a magnitude of ________ .
Answer: The curve representing the relationship includes the point (1, -3.2) .
The growth factor is 0.6666 .
An earthquake with an energy level 1 of has a magnitude of -3.2 .
Hello my Alpha.... bows down*
The curve representing the relationship includes the point (1, -3.2).
The growth factor is 0.6666. An earthquake with an energy level of has a magnitude of – 3.2.
It is given that the magnitude of an earthquake depending on the energy .it produces can be modeled using the equation M = 0.6666 log x – 3.2.
It is required to find growth factor, point and magnitude.
The curve representing the relationship includes the point_______ .The growth factor is________ .An earthquake with an energy level of has a magnitude of _______.The amount of energy released is represented as E and an earthquake release the magnitude represented by M which is given in the question. This magnitude is represented as equation using logarithm of the height of the wave that is the scale measured by seismograph.
Thus, The curve representing the relationship includes the point (1, -3.2).
The growth factor is 0.6666 .
An earthquake with an energy level of has a magnitude of – 3.2.
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HELP ME PLEASE IM CRYING SO BAD
Answer:
V'= ( 5,2 )
U'= ( 8,2 )
T'= ( 7,12 )
S'= ( 3,12 )
Answers:
S ' (3, 7)T ' (7, 7)U ' (8,2)V ' (5,2)Check out the diagram below
===================================================
Explanation:
When reflecting over horizontal lines like this, the x coordinate stays the same as the original point. Only the y coordinate changes.
To find what the y coordinate changes to, we need to measure the vertical distance from the point to the line. Point S has a y coordinate of y = -5 and the vertical distance to the line of reflection (y = 1) is |-5-1| = |-6| = 6 units. So we move 6 units up to go from point S to the line of reflection. We must move another 6 units to get to the location for S' where its reflected point would end up, which has y coordinate y = 7.
The same applies for the other points as well. Point T also goes up 6 units to get to y = 1, then it moves another 6 units to get to y = 7
Points V and U only move up 1 unit to get to the green dotted line of reflection. So they'll move only one additional unit to have their reflected points have y coordinates of y = 2.
The diagram hopefully visually summarizes everything discussed so far. The mirroring line cuts the distance from S to S' in half, same for T to T', and so on.
Stacy put 2/5 of her monthly earnings into a savings jar. Then she decided to take 1/4 of the money in the jar to put aside for vacation. If Stacey earned $550 this month,how much money did she set aside for vacation?
Answer:
55
Step-by-step explanation:
First you need to know how much is 2/5 of 550 since that is how much she put in the jar. 2/5 * 550 = 220 and then you need to find a 1/4 of that since that is how much she takes from th jar for vecation. 1/4 * 220 = 55 which is the awnser
16.2=2.7(h+1) solve for h
Step-by-step explanation:
16.2 = 2.7(h+1)
2.7(h+1) = 16.2
(h+1) = 16.2 ÷ 2.7
h+1 = 6
h = 5
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{h = 5}}}}}[/tex]
Step-by-step explanation:
[tex] \bigstar{ \sf{ \: \: 16. 2 = 2.7( \: h \: + \: 1)}}[/tex]
[tex] \tt{Step \: 1 \: }[/tex] : Swap the sides of the equation
[tex] \longmapsto{ \sf{2.7(h + 1) = 16.2}}[/tex]
[tex] \tt{Step \: 2 \: }[/tex] : Distribute 2.7 through the parentheses
[tex] \longmapsto{ \sf{2.7 \times h + 2.7 \times 1 = 16.2}}[/tex]
[tex] \longmapsto{ \sf{2.7h + 2.7 = 16.2}}[/tex]
[tex] \tt{Step \: 3 \: }[/tex] : Move 2.7 to right hand side and change it's sign
[tex] \longmapsto{ \sf{2.7h = 16.2 - 2.7}}[/tex]
[tex] \tt{Step \: 4 \: }[/tex] : Subtract 2.7 from 16.2
[tex] \longmapsto{ \sf{2.7h = 13.5}}[/tex]
[tex] \tt{Step \: 5 \: }[/tex] : Divide both sides by 2.7
[tex] \longmapsto{ \sf{ \frac{2.7h}{2.7} = \frac{13.5}{2.7}}} [/tex]
[tex] \tt{Step \: 6 \: }[/tex] : Calculate
[tex] \longmapsto{ \sf{h = 5}}[/tex]
The value of h is 5
Hope I helped!
Best regards! :D
~TheAnimeGirl
Divide. Express your answer in simplest form. 14 ÷ 2/7
=49
Solution by Formulas
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
141÷27
Applying the fractions formula for division,
=14×71×2 =982
Simplifying 98/2, the answer is =49
14
13. MR1 Make Sense and Persevere
Ms. Wilson bought two bags of pet
fish for her twin nieces. Each bag has
g gupples and one tetra. She also
bought one box of fish food that cost d
dollars. Write an algebraic expression to
represent how much she paid in all.
Answer:
67thnhttbny
Step-by-step explanation:
An algebraic expression that represent h how much she paid in all is 2(g+ 1) + d.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The following represents the items bought
Each bag has g gupples and one tetra.
She also bought one box of fish food that cost d dollars.
The expression that represents the items in a bag will be;
bag = g + 1
So, the total spent on fish food is:
2(g + 1)
Fish food
A box costs d dollars.
This means that, the total amount Ms. Wilson spent in the store is 2(g+ 1) + d
An algebraic expression that represent h how much she paid in all is 2(g+ 1) + d.
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(True or False) The set of ordered pairs {(6,4),(2,-5),(-2,4),(6,-4)} is a function
Answer:
False
Step-by-step explanation:
The same function input (the first number in the pair) cannot have two different outputs (the second number in the pair).
(6, 4) 4 is one output.
(6, -4) -4 is another output.
When Josh babysits, he chargers a flat fee of $14 plus an hourly rate of $9. How long would Josh need to babysit if he wants to earn $86 in one night?
Answer:
[tex]\frac{36}{7}[/tex]hours
Step-by-step explanation:
First let's get the flat fee of 14 out of the way, because he wants to earn 86 dollars and the 14 dollar fee is the y intercept.
[tex]86-14 = 72[/tex]
We would then divide 72 by the slope (14 per hour) to see how many hours he has to work:
[tex]72/14 \approx5.14285714286[/tex]
I would just simplify because this decimal isn't exact
[tex]72/14 = 36/7[/tex]
So 36/7 hours
-4x2 + 2x - 5(1 + 3)
What expression is equivalent to the given expression?
or +
x2 +
Answer:
-4x^2 -3x -5
Step-by-step explanation:
If you eliminate parentheses and collect terms, you get ...
-4x^2 +2x -5(1 +x)
= -4x^2 +2x -5 -5x
= -4x^2 +x(2 -5) -5
= -4x^2 -3x -5
13 + 3y= 37 solve for y
Answer:
y = 8
Step-by-step explanation:
Step 1: Write out equation
13 + 3y = 37
Step 2: Subtract 13 on both sides
3y = 24
Step 3: Divide both sides by 3
y = 8
Answer:
y=8
Step-by-step explanation:
37-13 = 24
3y=24
3/24=8
y=8
.....................
in order to be invited to tutoring or extension activities a student's performance must be at least 20 points higher or lower than an average score is 105 which inequality represents P the scores for students who are eligible for tutoring or extension activities
Answer:
i think its p ≤ 85 or p ≥ 125
Step-by-step explanation:
p can be 85 and higher but can be passed 125 but it can be 125 which makes the equality signs have the line under them meaning less than or equal to, and could also mean greater than or equal to.
The inequality that represents P the scores for students who are eligible for tutoring or extension activities is p ≤ 85 or p ≥ 125.
What is an Average?Average is the mean of the data set obtained by summing all the values of the data set and then dividing it by the number of data in the set.
The average score is 105
The score required for tutoring is at least 20 points higher than average
The score required for extension activities is at least 20 points lower than average
P is the scores for students who are eligible for tutoring or extension activities
Then p ≤ 105 -20 = p ≤ 85
p ≥ 105+20 = p ≥125
p ≤ 85 or p ≥ 125
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put in order smallest to largest
cups court pint gallons ounces quarts
Answer:
ounces, cups, pints, quarts, and gallons
Step-by-step explanation:
2+x^2=18
Help please
Answer:
2+x^2=18 = 2+4^2=18
Step-by-step explanation:
Because when you have the ( ^2) then that means your going to multiply a number by the same number and then 4 times 4 equals 16 and you still have the +2 therefore you add that on the 16 and 16+2 equals 18.
help me please this means a lot to my grade
Answer:
Step-by-step explanation:
You know that lines PQ and RS are parallel and line XY is a transverse line. This means that XMP and QMN are equal because they are vertical angles. Now set the equations equal to each other because they are.
10x-7=6x+21 and solve for x
4x-7=21
4x=28
x=7 boom
In 1970, a farmer using a two-row combine with a corn head could easily harvest 0.75 ha (1.85 acres) per hour and a typical corn yield was 5000 kg/ha (80 bu/acre). Before 1940, most corn was harvested by hand and a skilled person could harvest 250 kg/h (10 bu/h). Calculate the productivity ratio.
Answer:
The value is [tex]w = 6.7 \%[/tex]
Step-by-step explanation:
Generally the productivity rate is mathematically represented as
[tex]P_r = K * Z[/tex]
Here K is the ha the farmer could harvest in an hour and Z is a typical yield of corn in kg/ha
Now considering 1970
The productivity rate is
[tex]P_r = 0.75 *5000[/tex]
=> [tex]P_r = 3750 \ kg/h [/tex]
Now considering 1940
The productivity rate is given as [tex]P_R = 250 \ kg/h [/tex]
Generally the productivity ratio is mathematically ration is mathematically represented as
[tex]w = \frac{P_R}{P_r} * 100[/tex]
=> [tex]w = \frac{250}{3750} * 100[/tex]
=> [tex]w = 6.7 \%[/tex]
the inequality 13q<7q-29 and write the solution in fraction formats and interval notations
Answer:(-infinity,-29/6)
Step-by-step explanation:
Interval notation of this problem.
You are shopping for dinner for your family in a fast-food restaurant, but you are concerned about fat. An informative menu gives you the following information. Item Hamburger Chicken sandwich Fries Onion rings Grams of fat 24 13 30 25 How much total fat is in an order of hamburgers, chicken sandwich, orders of fries, and orders of onion rings
Answer:
Total amount of fat = 92 grams
Step-by-step explanation:
Given:
Item Amount of fat (in gram)
Hamburger 24
Chicken sandwich 13
Fries 30
Onion rings 25
Find:
Total amount of fat
Computation:
Total amount of fat = [Hamburger + Chicken sandwich + Fries + Onion rings]
Total amount of fat = [24 + 13 + 30 + 25] grams
Total amount of fat = 92 grams
A government agency has 6000 employees. As an alternative to the traditional five day work week, employees were asked whether they preferred a four day work week (10 hours per day) or flexible hours. The employee data provides the results by age category. What is the probability that a randomly selected employee at this government agency prefers a four day work week or is under 30
The table showing the data is missing, so i have attached it.
Answer:
0.8
Step-by-step explanation:
We want to find the probability that a randomly selected employee at this government agency prefers a four day work week or is under 30.
Now, we are told that the government agency has 6000 employees. Also, from the attached table, we see that the number of people who prefer a 4 day work week are a total of:
600 + 1200 + 2100 = 3900
Thus, probability of people who prefer a 4 day work week = 3900/6000 = 39/60
Also, we see that total number of people aged under 30 = 600 + 300 = 900
Thus, probability of people aged under 30 is;
900/6000 = 3/20
Thus;
probability that a randomly selected employee at this government agency prefers a four day work week or is under 30 = 39/60 + 3/20 = 48/60 = 4/5 = 0.8
What is the value of n?
Answer: 3 cm
Step-by-step explanation:
Set up a proportion to find the value of n. 4/8 = n/6Cross multiply. 8x = 24Divide 8 on both sides. x = 3Find the straight time pay if you earn $7.90 per hour and worked 37 hours.
Answer: $292.30
Step-by-step explanation:
Forty seven hundredths in standard form
Answer is .47
Fourty seven hundredths in standard form is .47,
someone please help me with #63! WILL MARK BRAINLIEST
Answer:
cos60=b/h
1/2= b/3
b= 3/2=1.5
again
sin60=p/h
[tex]\sqrt3[/tex]/2= p/3
p =3[tex]\sqrt3[/tex]/2
Step-by-step explanation:
Answer:
1.5 in. and [tex]\frac{3\sqrt{3} }{2}[/tex]in.
Step-by-step explanation:
easier method:
angle opp. to 30 degrees is 1/2 of hypotonuse:
3/2=1.5 inches
angle opp. to 60 degrees is [tex]\sqrt{3}[/tex] of 30 degree angle:
3/2*[tex]\sqrt{3}[/tex]=3[tex]\sqrt{3}[/tex]/2