Answer:
B
Step-by-step explanation:
b is the correct answer because once u combine the like terms and do all the math that is what the answer is
A science teacher ordered $3980 worth of microscopes and dissection kits for the new science lab. A total of 38 microscopes and 47 dissection kits were ordered. A microscope costs four times as much as a dissection kit. Write a system of linear equations that represents this situation. What is the cost of each item?
Answer:
Cost of a kit is $20
cost of a microscope is $80
Step-by-step explanation:
Here, we want to write a set of equations and solve
Let the cost of a microscope be $m while the cost of a kit be $k
Total cost of 38 microscopes will be 38 * m = $38m
Total cost of 47 kits = 47 * k = $47k
The sum of these is $3980
That will be;
47k + 38m = 3980 ••••••(i)
A microscope cost 4 times a kit
Mathematically;
m = 4k •••••••••(ii)
Substitute ii into i
47k + 38(4k) = 3980
47k + 152k = 3980
199k = 3980
k = 3980/199
k = $20
Recall;
m = 4k
m = 4 * 20 = $80
From Kansas City to Blue Springs, there are 3 different routes. There are 4 different routes from Blue Springs to Grain Valley.
How many different ways can you go from Kansas City to Grain Valley?
Answer:
12
Step-by-step explanation: You start in Kansas City, you have 3 options to chose from to go to Blue Springs. Then you have 4 more choices to chose from to go to Grain Valley. So you have 3 routes to chose then 4 so multiply those together. So you get 12
(6x+1/2)+(2x-8 1/2)Simplify the expression.
Answer:
simplified = 8x - 8
Step-by-step explanation:
trust me :)
Help me with the correct answer
Answer:
It’s A.
Step-by-step explanation:
A square has a perimeter of 20 1/2 feet. What is he length of one side?
Answer:
Square has a perimeter : P =4 x a => a = P/4 = 20.5/4 = 5.125 feet
Step-by-step explanation:
Explain whether this dilation is an enlargement or a reduction, and how you know. Triangle A B C is enlarged to triangle A prime B prime C prime.
Answer:
the answer is:
The dilation is an enlargement because the image, triangle A'B'C', is larger than the pre-image, triangle ABC.
Step-by-step explanation:
I got it right on edge
The dilation from triangle ABC to triangle A'B'C' is an enlargement
What is dilation?Dilation involves changing the size of a shape, figure or line
From the question, we understand that:
Triangle ABC is enlarged to form triangle A'B'C'
Also from the diagram, we can see that the side lengths of triangle A'B'C' are bigger than ABC
Hence, the dilation is an enlargement
Read more about dilation at:
https://brainly.com/question/3457976
Jake is renting a car from Hertz Car Rentals for a day.
It costs $85 plus $0.75 per mile driven.
Let C represent the cost of renting a car and m represent the number or miles driven.
Write a linear equation to represent the cost of renting a car for m miles.
Answer:
c=0.75m+85
Step-by-step explanation: m=slope and since its increasing by the same amount every mile $0.75 is the slope, and since it starts at $85 that would be the y-intercept. Hope this helps!
Sam is 13 years old. His brother, Jonathan is 3 times as much as Sam is. His sister, Jayla is 2 times as much as Jonathan. How old is Jayla and Jonathan?
Ill give you brainliest if you answer the question correctly!
Answer:
Jonathan is 39
Jayla is 78
Step-by-step explanation:
13: Sam
? 1: Jonathan 3*sam
? 2: Jayla 2* Jonathan
13 * 3 = 39
Jonathan is 39
39 * 2 = 78
Jayla is 78
an owl travels 8 1/3 miles in 3/4 hour and a seagull travels 12 1/2 miles in 2/3 an hour. Which animal is faster?
Answer: The seagull is faster
Step-by-step explanation:
An owl travels 8 1/3 miles in 3/4 hour. The miles per hour of the owl would be:
= 8 1/3 ÷ 3/4
= 25/3 ÷ 3/4
= 25/3 × 4/3
= 100/9
= 11 1/9 miles pee hour
A seagull travels 12 1/2 miles in 2/3 an hour. The miles per hour of the seagull would be:
=12 1/2 ÷ 2/3
= 25/2 ÷ 2/3
= 25/2 × 3/2
= 75/4
= 18 3/4 miles per hour
Based on the calculation above, the seagull is faster.
Answer:
11 1/9 miles per hour<---- owls speed
I seagle is faster
Step-by-step explanation:
i just know bc i got it right on iready... :)
Write the percent as a decimal.
12% =
P.S. I give brainlist, stars, and hearts. First place gets brainlist , hearts, and stars. Second place gets hearts, and stars. AND please explain your answer.
Answer:
12% = 0.12
Percent means 'per 100'. So, 12% means 12 per 100 or simply 12/100. If you divide 12 by 100, you'll get 0.12
Please help due in 10 minutes
Solve the equation:
-7(-3n+3) = -21 +21n
Answer:
0=0
yeah i dont know how i got it, but yeah
Plastic cups come in packages of 24 and straws come in packages of 20, whats the smallest number of each that could be bought so that you had the same amount of cups and straws? 200 240 120 480
Answer:
120
Step-by-step explanation:
No. of plastic cups = 24
No. of straws =20
We need to find the smallest number of each that could be bought so that you had the same amount of cups and straws.
Prime factrisation of 24 = 2×3×2×2
Prime factorisation of 20 = 2×5×2
LCM = 120
Hence, the smallest number of each type will be 120.
please tell me how to solve this
Answer: 55 = x
Step-by-step explanation:
a line is 180'
so all you do is
180 - 125 = x
the 35 and 90' is to throw you off
55 = x
Answer:
x=55
Step-by-step explanation:
Angles on a straight line add up to 180 degrees
Angle 35, 90(the box) and x are all on a straight line
35 + 90=125
180-125=55
x=55
What is 27/75 in decimal?
What is 7/2 in decimal?
What is 3 1/5 in decimal?
Pls show ur work
what is the equation?
Answer:
x=-4
Step-by-step explanation:
1= what as a fraction
Answer:
it could be 1/1 or 2/2 or 3/3 or 4/4 or 5/5 or 6/6 it is the same thing just put the number like how i did depending on the question
Step-by-step explanation:
F is a point on segment EG. If EF = 5 and EG
13, what is FG?
Answer:
8
Step-by-step explanation:
13-5
find the range of the function f(x)=5-4x given the domain = {-1,0,1}
Answer:
I don't get what you are trying to say I think you need to put it in better understanding
Rita used 3/4 cup of white sugar and 1/2
cup of brown sugar to make a cake. How
much sugar did she use in all?
We need to make the denominators equal for both fractions to figure out how much sugar was used in all.
3/4 + 1/2
We can multiply the numerator and the denominator by 1 for 3/4. We can multiply the numerator and the denominator by 2 for 1/2. Therefore, we will get 1.
3/4 + 1 = 1 3/4 OR 7/4
Answer is 7/4 or 1 3/4.
Also, please mark me as the brainliest and rate excellent.8 people share 3 sub sandwiches equally. What fraction of a whole sub does each person get?
Answer: 2 2/3 (two and two thirds)
Each person get 6 2/3 fraction of a whole sub.
What is a fraction?Fractions represent the parts of a whole or collection of objects.
A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.
Now it is given that,
Number of people = 8
Number of sub sandwiches = 3
So, fraction of a whole sub does each person get = Number of people / Number of sub sandwiches
⇒ fraction of a whole sub does each person get = 8/3
or, fraction of a whole sub does each person get = 6 2/3
Thus, each person get 6 2/3 fraction of a whole sub.
To learn more about fractions :
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Equivalent expression 6(a+b)
Answer:
6a + 6b
Step-by-step explanation:
PLEASE HELP! DUE SOON
Answer:
Yes. A is the correct answer. I did the work.
Step-by-step explanation:
I need a lil help :) and explanation
Answer:
negative
Step-by-step explanation:
right-to-left is positive
left-to-right is negative
Answer:
Negative slope.
Step-by-step explanation:
When you try to determine the type of slope a graph shows, the direction of the line is really important. When a slope is positive, the line goes up in the right direction like this /. When a slope is negative, the line goes down to the right like this \. Undefined is when the line goes straight up and down and 0 is when the graph is straight across like this -. Therefore the graph is negative. Hope this helps :)
Jill weighs 15 lbs. Less than Ken. Pete weighs 50 lbs. More than Jill. Eddie weighs 18 lbs. Less than Pete. How much does each weight, if the sum of their weights is 597?
Answer:
Jill = 125lb
Pete = 175lb
Eddie = 157lb
Ken = 140lb
Step-by-step explanation:
Given
Represent Jill with J; Ken with K; Pete with P and Eddie with E
[tex]J = K - 15[/tex]
[tex]P = 50 +J[/tex]
[tex]E = P - 18[/tex]
[tex]J + K + P + E = 597[/tex]
Required
Determine the weight of each
Substitute 50 + J for P in [tex]E = P - 18[/tex]
[tex]E = 50 + J - 18[/tex]
[tex]E = J + 50 - 18[/tex]
[tex]E = J + 32[/tex]
Make K the subject in [tex]J = K - 15[/tex]
[tex]K = J + 15[/tex]
Substitute [tex]K = J + 15[/tex], [tex]E = J + 32[/tex], [tex]P = 50 +J[/tex] in [tex]J + K + P + E = 597[/tex]
[tex]J + J + 15 + 50 + J + J + 32 = 597[/tex]
Collect Like Terms
[tex]J + J +J + J = 597 - 32 - 50 - 15[/tex]
[tex]4J = 500[/tex]
[tex]J = 500/4[/tex]
[tex]J = 125lb[/tex]
Substitute 125 for J in [tex]P = 50 +J[/tex]
[tex]P = 50 + 125[/tex]
[tex]P = 175lb[/tex]
Substitute 175 for P in [tex]E = P - 18[/tex]
[tex]E = 175 - 18[/tex]
[tex]E = 157[/tex]
Substitute 125 for J in [tex]K = J + 15[/tex]
[tex]K = 125 + 15[/tex]
[tex]K = 140[/tex]
Which equation is NOT written in slope-intercept form?
Answer and Explanation
__________________________________________________________
B) 2x - 5 = 2y + 14
__________________________________________________________
slope intercept form: y = mx + b
__________________________________________________________
B) 2x - 5 = 2y + 14 is the only answer choice that does not isolate y, and place all other terms on the other side; therefore, is your answer.
__________________________________________________________
Hope this helps! <3
__________________________________________________________
please help me on this will give you brainliest
Answer:
9/10 > 7/8
Step-by-step explanation:
The least common denominator (LCD) is: 40.
Rewriting as equivalent fractions with the LCD:
9/10 7/8
36/40 35/40
Comparing the numerators of the equivalent fractions we have:
9/10 7/8
36/40 > 35/40
Therefore, comparison shows:
9/10 > 7/8
<3
Select all the correct answers.
Which values are included in the solution set of this inequality?
2.12 – 1 > 61
I = -4
I = 3
0 1 = 1
o = 5
O r = -2
Answer:
Option A, Option D and Option E are correct options.
Step-by-step explanation:
We need to find solutions of the inequality: [tex]2x^2-1>6x[/tex]
We will check the options and see, which options satisfy the inequality.
Option A
x=-4
Put x=-4
[tex]2x^2-1>6x\\2(-4)^2-1>6(-4)\\2(16)-1>-24\\32-1>-24\\31>-24\:\:True[/tex]
So, x=-4 is the solution of inequality.
Option B
x=3
Put x=-3
[tex]2x^2-1>6x\\2(3)^2-1>6(3)\\2(9)-1>18\\18-1>18\\17>18\:\:False[/tex]
So, x=3 is not the solution of inequality.
Option C
x=1
Put x=1
[tex]2x^2-1>6x\\2(1)^2-1>6(1)\\2(1)-1>6\\2-1>6\\1>6\:\:False[/tex]
So, x=1 is not the solution of inequality.
Option D
x=5
Put x=5
[tex]2x^2-1>6x\\2(5)^2-1>6(5)\\2(25)-1>30\\50-1>30\\49>30\:\:True[/tex]
So, x=5 is the solution of inequality.
Option E
x=-2
Put x=-2
[tex]2x^2-1>6x\\2(-2)^2-1>6(-2)\\2(4)-1>-12\\8-1>-12\\7>-12\:\:True[/tex]
So, x=-2 is the solution of inequality.
So, Option A, Option D and Option E are correct options.
Now write 100,000 • 1 over 100,000 as multiplying 10 to a power by 10 to a power
Answer:
100,000=10^5, and 1/100,000= 1/10^5=10^-5
so this is your answer
10^5 x 10^-5
Step-by-step explanation:
Sample answer from Edmentum.
The exponential value of 1,00,000 and 1/1,00,000 is 10⁵ and 10⁻⁵.
What are exponential functions?The formula for an exponential function is f (x) = axe, where x is a variable and an is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.
Given numbers 1,00,000 and 1/1,00,000
factors of 1,00,000 = 10 x 10 x 10 x 10 x 10
1,00,000 in exponential form is 10⁵ because 10 is multiplying continuously 5 times.
and 1/1,00,000 = 1/(10⁵)
using formula 1/aⁿ = a⁻ⁿ
so 1/(10⁵) = 10⁻⁵
Hence exponential for numbers is 10⁵ and 10⁻⁵.
Learn more about exponential functions;
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Multiply the following radicals (do NOT simplify)
2/4 x 4/6
Answer:
0.33333333333
Step-by-step explanation:
You divide 2÷4×4÷6= 0.33333333333
Answer:
8/24
Step-by-step explanation:
2/4 x 4/6
All you need to do is multiply from across
2*4 = 8 (numerator)
6 * 4 = 24 (denominator)
8/24