Answer:
Step-by-step explanation:
7a - 3 = 3 + 6a
7a = 6 + 6a
a = 6
Answer:
a = 6, Nice work!
Step-by-step explanation:
7a - 3 = 3 + 6a
First step is to subtract 6a from the right, also subtracting it from the left. This will leave you with:
a -3 = 3
Now you need to isolate the variable, so to get rid of -3, you have to add 3 to both sides.
a -3 = 3
+3 +3
a = 6
A piggy bank contains 70 coins. The coins are dimes and nickels worth $5.50. Use substitution to solve the system of equations to find out how many dimes and nickels are in the piggy bank.
Answer:
There are 40 dimes and 30 nickels :)
Step-by-step explanation:
5.50=0.10d+0.05n
70=d+n
how to solve-
n=70-d
5.50=0.10d+0.05(70-d)
5.50 = 0.10d +3.5 -0.05d
5.50= 0.05d+3.5
2=0.05d
d=40
70=d+n
70=40+n
n=30
1. (3x2)(−2x4) = 3(−2)x2∙4 = 6x8
2. 4a2∙3a5= (4 + 3)a2+5 = 7a7
3. x6∙x∙x3= x6+3 = x
4. 34∙23= 64+3
The telephone company offers two billing plans for local calls. Plan 1 charges $29 per month for unlimited calls and Plan 2 charges $19 per month plus $0.05 per call.
a. Use an inequality to find the number of monthly calls for which Plan 1 is more economical than Plan 2.
b. Explain the meaning of the answer to part a.
Answer:
Step-by-step explanation:
wouldn't you do 29 x 19=551+0.05=551.05
Answer:
The number of monthly calls for which Plan 1 is more economical than Plan 2 is 200 calls If more than 200 calls are made, the plan 1 charge will be more than plan 2. Let the number of charges per month be x If plan 2 charges $16 per month plus $0.04 per call, this is expressed as 0.04x + 16 Price that pan 1 charges = $24 If Plan 1 is more economical than Plan 2, this is expressed as:0.04x + 16 > 24 Subtract 16 from both sides:0.04x + 16 - 16 > 24 - 16 0.04x > 8 x = 6/0.04 x = 200 This shows that if more than 200 calls are made, the plan 1 charge will be more than plan 2.
Find the missing value and show your steps please
66.5/x = 17/8.5
*Side note, the / are fractions
Answer:
33.25
Step-by-step explanation:
To solve this equation we need to solve for X.
66.5/x = 17/8.5
(Handle the division on the right side first.)
66.5/x = 2
(Move the x to the right side of the equation)
66.5 = 2x
(Divide both sides by 2 to get rid of the 2)
33.25 = x
I hope this helps!
For five days, Diego recorded the lengths, in minutes, of his walk to school. The mean for his data is 11 minutes. Determine which data set below is Diego’s, and prove that your choice is correct.
Please help meee
find the solution to the system of equations
y=2x+3
y=-3x+3
(sorry, I forgot how to solve it, and other people might need help too :))
Jun bought 5 gallons of paint. She used 1 gallons for her living room,
1 gallons for her kitchen, and some paint for her dining room. If Jun
hadgallons of paint left over, about how much paint did she use for the
dining room?
Answer:
hope this helps
Step-by-step explanation:
If Jun used 1 gallon for her living room and 1 for kitchen that would be 2/5 gallons. Since you said “gallons” left over after painting the dining room, I would assume used 1 in the dining room (1/5)and had 2 left over.
A sink contains 16 liters of water before the drain is opened. It drains at a rate of 2 liters per minute.
Use the segment tool to plot a graph representing the liters of water in the sink over time. Plot only one segment which represents the situation from when the sink starts draining until the sink is empty.
Answer:
Step-by-step explanation:
Given the volume of the cuboid is atleast 150cm3 and the surface area of the cuboid is less than 320cm2. Determine all the possible values of x by solving simultaneous inequalities.
Answer:
Step-by-step explanation:
To solve this problem, we can start by finding the possible range of values for the volume of the cuboid, which is at least 150 cm^3. The volume of a cuboid is given by the formula V = lwh, where l is the length, w is the width, and h is the height. Since the volume is at least 150 cm^3, we can set up the following inequality:
V >= 150
lwh >= 150
Next, we can find the possible range of values for the surface area of the cuboid, which is less than 320 cm^2. The surface area of a cuboid is given by the formula A = 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height. Since the surface area is less than 320 cm^2, we can set up the following inequality:
A < 320
2lw + 2lh + 2wh < 320
Now, we can solve these simultaneous inequalities to find the possible values of x, which represent the lengths, widths, and heights of the cuboid. To do this, we can start by finding the possible values of l, w, and h that satisfy both inequalities.
One way to do this is to rewrite the inequalities in terms of a single variable, such as l, and then solve for the possible values of l that satisfy both inequalities. For example, we could substitute the expression for the volume (lwh) and the expression for the surface area (2lw + 2lh + 2wh) into the inequality for the volume (V >= 150) and the inequality for the surface area (A < 320), respectively, and then solve for the possible values of l that satisfy both inequalities.
I hope this helps! Let me know if you have any questions or need further assistance.
Please help! Its a test! I will give brainly!
Question,
You have a corn root sample and a corn stem sample on microscope slides. When you view the samples through a microscope, the magnification number tells you how many times larger the image will be than the actual size. You see only a portion of the enlarged image.
a. The corn root sample is 0.6 millimeter wide. You magnify the image by 400. What is the width of the magnified corn root image?
_______ Milliliters
b. You magnify the corn root sample by 1,200 . How much wider is the image when magnified by 1,200 than by 400 ?
_______ Milliliters
c. You have a sample of a corn stem. The corn stem sample is 9.6 times wider than the corn root sample. What is the width of the corn stem sample?
________ Milliliters
Which equation is best represented by the graph below?
y=14x+8y is equal to 1 fourth x plus 8
y=14x−2y is equal to 1 fourth x minus 2
y=4x−2y is equal to 4 x minus 2
y=4x+8y is equal to 4 x plus 8
Simplify the expression by combining like terms put each expression in its simplest form. 1. 5x^2-2xy+3y^2-4yx+3x-4y^2-5xy+2x-y
The diagram shows the number of children who have ever used motorized scooters, manual scooters, and/or bicycles. Circles labeled Motor and Manual overlap. A circle labeled bicycle is to the side of the other 2 circles. Circle Motor contains 8 and circle Manual contains 32. The overlap of the circles contains 24. Circle Bicycle contains 44. Number 3 is on the outside of the circles. Which combination represents the empty set? motor ⋃ manual motor ⋃ bicycle motor ∩ manual motor ∩ bicycle
Answer:
motor ∩ bicycle
Step-by-step explanation:
This is because ∩ means intersection, saying that it is an overlap between the motor and the bicycle, but on the chart there is no overlap between those two.
Answer:
C: motor ∩ bicycle
Step-by-step explanation:
edge 2020
Tell whether the angles are complementary or supplementary. Then find the value of x
Answer:
Complementary, x=60.
Step-by-step explanation:
The angles are complementary because they add up to 90 degrees, opposing supplementary angles, which add up to 180 degrees. To find x, we need to form an equation to represent the problem. We know the two angles add up to 90 degrees, so we can use that to make the equation.
(x-30)+x=90 Simplify.
x-30+x=90
2x-30=90 Add 30 to both sides.
+30 +30
2x=120 Divide both sides by 2.
x=60
We can also find the value of the angles by plugging in x.
Angle 1: (x-30)
(60-30)
30 degrees
Angle 2: x
60 degrees
(You can also notice that the two angles add up to 90 degrees, which is another way of telling that the angles are complementary.)
Hope this helps and have an amazing day!! C:
Uhhhhh what?! Im so confused?
Answer:
Step-by-step explanation:
First quartile is 10
80-70=10
the lowest temperature ever recorded on earth's surface was −128.5°f. the highest temperature was 262.5°f higher than the lowest.what was the highest temperature ever recorded?
Answer: 134 °f
Step-by-step explanation:
Lowest is -128.5 °f, the highest is 262.5 °f higher than the lowest.
you would simply add 262.5 °f to your -128.5 °f, giving you 134 °f.
another way of doing this is subtracting 128.5 from 262.6
please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!
The function for the points are y = -15x - 5
How to determine the functionFrom the information given, we have that;
The points are;
(1/3,0) (-2 3/4,0) and (0,-5)
Using the point-slope form of a linear equation, we have;
y - y₁ = m(x - x₁)
Such that;
m is the slope of the liney - y₁ and (x - x₁) are the pointsUsing (1/3, 0) and (0, -5), we have that the slope is;
m = (0 - (-5))/0 -1/3)
expand the bracket
= 5 / (-1/3)
= -15
Now, take any of the given points and substitute the values
Using (1/3, 0), we get;
y - 0 = -15(x - 1/3).
y = -15x - 5.
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The function for the points solved by (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)
We have given the points:
(1/3,0) (-2 3/4,0) and (0,-5)
Using the formula of linear equation
\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)
Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)
that is 1/3 = \(a\), 0 = \(a_{1}\) and
0 = \(b\), -5 = \(b_{1}\)
\(x\) refers to the slope of line (take any variable)
Now for finding the value of \(x\),
\(x=a-a_{1}/b-b_{1}\)
inserting the values,
\(x=[0-[-5]]/[0-1/3]\\x= -15\)
Substitute the value of \(x\) in the equation
\(a-0=-15[b-1/3]\)
By simplifying the equation, we get
\(a=-15b-5\)
To know more about functions and points:
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I am currently 13 times as old as my granddaughter. Next year, I will be 11 times as old as my granddaughter. How old am I now?
Answer:
65 years old.
Step-by-step explanation:
Define the variables:
Let x be the age of the granddaughter.Let y be the age of the grandparent.Given:
I am currently 13 times as old as my granddaughter. Next year, I will be 11 times as old as my granddaughter.Create two equations with the given information and defined variables:
\(\begin{cases}y = 13x\\y + 1 = 11(x + 1)\end{cases}\)
Substitute the first equation into the second equation and solve for x:
\(\implies 13x+1=11(x+1)\)
\(\implies 13x+1=11x+11\)
\(\implies 2x=10\)
\(\implies x=5\)
Substitute the found value of x into the first equation and solve for y:
\(\implies y=13(5)\)
\(\implies y=65\)
Therefore, the age of the grandparent now is 65 years.
Given statements:
I am currently 13 times as old as my granddaughter. Next year, I will be 11 times as old as my granddaughter.Let us represent the character's age by variables. Assuming that the grandparent's age is G and the granddaughter's age is D. Now, using the obtained variables and the statements, create two equations that represents the provided statements. Then, we can compare the equations and simplify if needed to determine the value of the variables.
\(\implies \left[\begin{array}{ccc} \text{G = 13D} \\ \text{G + 1 = 11(D + 1)}\\\end{array}\right]\)
Since G = 13D is in the form of direct variation, we can substitute the value of G into the second equation to determine the value of D (the age of the granddaughter). Then, we can substitute the value of D into any of the two equations to determine the age of the grandparent.
⇒ G + 1 = 11(D + 1)⇒ G + 1 = 11(D + 1) [G = 13D]⇒ 13D + 1 = 11(D + 1)To solve for D, simplify both sides of the equation by using the distributive property. We need to simplify both sides of the equation so that we can isolate the variables on the other side of the equation.
⇒ 13D + 1 = 11(D + 1)⇒ 13D + 1 = 11D + 11Isolate the variables on one side. This step is necessary because it can cancel out the extra variable and simplify the other variable. To do this, you can either add or subtract on both sides of the equation.
Note: I am subtracting 11D on both sides of the equation since it is my preference. But you can also subtract 13D on both sides of the equation.
⇒ 13D + 1 - 11D = 11D + 11 - 11D⇒ 1 + 2D = 11To further isolate 2D, we need to subtract 1 on both sides of the equation to cancel out the 1 on the left-hand side of the equation. Then, we have:
⇒ 1 + 2D - 1 = 11 - 1⇒ 2D = 10But the variable is still not completely isolated since there is a coefficient being multiplied to D. To isolate the coefficient from the variable, we will need to divide the coefficient (2) on both sides of the equation.
⇒ 2D = 10⇒ 2D/2 = 10/2Then, simplify both sides of the equation. Eventually, we will have a variable on one side and a numerical value on the other side.
⇒ 2D/2 = 10/2⇒ D = 5Now we know the age of the granddaughter, we can substitute the age of the granddaughter into one of the equations and simplify it to determine the age of the grandparent. I am going to choose G = 13D since it is easier to simplify. Then, we will substitute the value of D into the equation.
⇒ G = 13D ⇒ G = 13(5)⇒ G = 65 yearsTherefore, the age of the grandparent is 65 years.
plllllllls hellllp brainliest is going to first answer
Answer:
Picture
Step-by-step explanation:
r≤−9
Hope it helped!
Using no digits other than 5 and 8, make a 6-digit number, that has the properties below. If it is impossible, write so. Of course you may use each digit more than once.
A multiple of 24
List every possible answer.
Answer:
im not sure but i think impossible
Step-by-step explanation:
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
If 2580 people watched one show and 2920 people watched another show. How many people need to watch the third show for there to be a 3000 people average attendance per show?
Answer:
340
Step-by-step explanation:
2920 - 2580 = 340
There need to be 340 people to watch the third show.
oof help pleaseeeeeeeeee
Answer: no, marget will be a penny short
Step-by-step explanation:
i just solved it in my notebook since she only has 8 dollars she would need an extra penny to share among two friends
poor marget
yes because it would cost $6. 27 cents out of 8 dollars
12.426
12.400
12.330
12.326
Step-by-step explanation:
To order desimals you need to line each of them up and if the numbers have 3 numbers behind the desimal and the number is like 12.4 with only 1 number behind the desimal you would add 0ś as place holders so it would be 12.400 so you would just go from there 426 is gratter than 400 and 400 is greater than 330 and 330 is greeter than 326.
PLEASE MAKE ME BRAINLIST
Which symbol makes the number sentence true?
A. <
B. >
C. =
Answer:
C: =
Step-by-step explanation:
-10/4 = -2.5
so C they're equal
Answer:
it is c
Step-by-step explanation:
they both are equal 10/4 =2.5 aswell
pls give me brainliest
Write an integer to represent each situation:
Jillian deposited $47 he received for his birthday
Hannah made a deposit into her savings account at a simple annual interest rate of 5%. Hannah earned $3600 in interest after 8 years. What amount did Hannah originally deposit?
A.$4500
B.$7200
C.$9000
D.$12,600
This is a scale drawing of a deck. The actual deck has a perimeter of 120 ft. Draw another scale drawing of the deck using the scale 15 ft to 1 unit from the deck to the drawing. Explain your reasoning.
The scale 15 ft to 1 unit from the deck to the drawing will give a perimeter of 8 units.
How to calculate the scale?From the information, the actual deck has a perimeter of 120 ft.
Therefore, another scale drawing of the deck using the scale 15 ft to 1 unit from the deck to the drawing will be:
= Normal perimeter / Scale used
= 120 / 15
= 8
Therefore, the scale 15 ft to 1 unit from the deck to the drawing will give a perimeter of 8 units.
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Answer:
Ok, so all you have to do is make the whole thing 15 times bigger, like for instance the three units on the side, multiply by 15, and sma eto all the other sides then draw your shape
Step-by-step explanation:
brainly?
Pls help!
What measure of center best represents the data set?
Drag and drop the correct answer into the box.
Data Set
{37, 39, 38, 78, 36}
A) mean only
B) median only
C) mode only
D) mean or median
Answer:
the median only
Step-by-step explanation:
What is this in simplest form
Answer:
this is the simplest form
Step-by-step explanation:
since there is a variable in the fraction, you can't simplify it any further until we know that term.
Answer:
-7y/2
Step-by-step explanation:
-7y/2 cannot be simplified any further as there are no common factors of -7y and 2
PLEASE ANWSER FAST!!
!!TSAF RESWNA ESAELP