We have two types of textbooks. Let's use "x" to represent the number of math textbooks and "y" to represent the number of history textbooks.
Altogether, the bookseller sold 240 math and history textbooks. So:
x + y = 240
Now, the number of history textbooks sold was 72 less than the number of math books sold. So:
y = x - 72
Now we can substitute for y in the equation and solve:
x + y = 240
x + (x - 72) = 240
2x - 72 = 240
2x = 312
x = 156
The bookseller sold 156 math textbooks.
Since y = x - 72, he must have sold 84 history textbooks.
Let's check our answers:
x + y = 240
156 + 84 = 240
That is true, so we did get the correct answers.
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What is the value of x in the equation 7x+2y= 48, when y = 3?
Answer: X=6
Step-by-step explanation:
You have collected data on the average weekly amount of studying time (T) and grades (G) from peers at your university. Changing the measurement from minutes into hours has the following effect on the correlation coefficient:
a. cannot be computed since some students study less than an hour per week
b. does not change the rTG
c. decreases the rTG by dividing the original correlation coefficient by 60
d. results in a higher rTG
Answer:
b. does not change the rTG
Step-by-step explanation:
If the average weekly amount of studying time and Grade are compared such that a certain correlation Coefficient value is obtained, changing the unit of measurement of any of the variables, will not affect the value of the correlation Coefficient most notably because the value of R, correlation Coefficient is a normalized or standardized value that ranges between - 1 and 1 and hence, resistant to unit changes in the compared variables. Hence, Correlation coeffient for the rate of study and grade obtained will not change even if rate of study is measured in hour.
Answer:
b. does not change the rTG
Step-by-step explanation:
A museum has an aquarium in the shape of a right rectangular prism that is 22.9 meters long. 7.5 meters wide, and 4.6 meters high. What is the volume, rounded to the nearest cubic meter, of the aquarium? EXPLAIN.
A. 280
B. 623
C. 790
D. 1288
( If you put an improper answer I will report :) )
A bean plant grew 1 1/2 inches per day. How much did the plant grow in 9 days?
Answer:
108 Inches
Step-by-step explanation
9 * 12 = 108
Answer:
108
Step-by-step explanation:
9*12=108 is the answer
Drag each number to the correct location on the table. Each number can be used more than once.
Match the positions on the number line with the numbers they represent.
-2.2
2.2.
-1.8
1.8
Answer:
this is right
Step-by-step explanation:
Sorry if this is late...
1. 1.8
2. -2.2
3. 1.8
4. -2.2
5. -1.8
6. -1.8
7. 2.2
8. 2.2
I got this right on the edmentum test if this is wrong then I'm sorry.
Noveli has a credit limit of $3,000 on her credit card.
She had a previous balance of $55.60 from last month on her credit card.
She made a payment of $310
She made purchases for the month that totaled $409.00
She had a finance charge of $11.75
What is Noveli's available credit on her credit card?
Answer:
Your credit card issuer will calculate your finance charge for you in your bill, but ... when you're charged one, so there's not necessarily a need to calculate it on your ... With most credit cards, the billing cycle is shorter than a month, for example, ... transactions made on your credit card in the current or previous billing cycle.
Step-by-step explanation:
4. What is the experimental probability of spinning orange?
Find the value of x.
899
46
X
Answer:
I think it's 45.
Step-by-step explanation:
46 + 89 = 135
adding all the angles of a triangle will always equal 180.
180 - 135 = 45
the last angle is 45.
PLS HELP
39. For each part (a)-(f), find the value of y when x = -2. Show your work
a. y = 3x - 7
b. 3x – 2y = 10
c. 7x – 4y = 12
d. x = 4y - 2
e. 3 = 2x - y
f. 12 = -3x – 4y
HELP please with this
Answer:
CB = 9
Step-by-step explanation:
To find CB, apply trigonometric function.
Reference angle = 60°
Hypotenuse = 18
Adjacent = CB
Apply CAH:
Cos 60 = Adj/Hyp
Cos 60 = CB/18
Cos 60 × 18 = CB
CB = Cos 60 × 18
CB = 9
Identify the relationship of each angle pairs. Choose your answer from the choices given.
Answer:
Q.1 corresponding
Q.2 alternate exterior angle
Q.3 same side interior
Q.4 alternate interior angle
Which line has the same slope as the lone passing through (-4,-1) and (-1,-7)
1) 6x+3y=5
2)y=-1/2x-7
3)y=-2
Answer:
1) 6x+3y=5
Step-by-step explanation:
1) First, find the slope of the line passing through (-4, -1) and (-1, -7). Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of the two points into the formula and solve:
[tex]m = \frac{(-7)-(-1)}{(-1)-(-4)} \\m = \frac{-7+1}{-1+4} \\m = \frac{-6}{3} \\m = -2[/tex]
So, the slope is -2.
2) Now, identify the slopes of the lines in the options. We already know the slope of [tex]y = -\frac{1}{2} x-7[/tex] is [tex]-\frac{1}{2}[/tex] since it is in slope-intercept form. y = -2 must have a slope of 0 since it's horizontal, and all equations with the format of y = a number are horizontal.
To find the slope of [tex]6x + 3y = 5[/tex], isolate y to put the equations into slope-intercept form ([tex]y = mx + b[/tex] format), and whatever the coefficient of the x-term is will be the slope.
[tex]6x + 3y = 5\\3y = -6x+5\\y = -2x + \frac{5}{3}[/tex].
So, the slope of the first option is -2. It matches the slope we calculated in the first step, so that must be the answer.
a display that uses bars to show data is an
35=11x. i need help
Answer:
x= 35/11
Step-by-step explanation:
steps
35 = 11x
swich sides
11x = 35
Divide both sides by 11
11x/11 = 35/11
simplify
x = 35/11
um ineed help in middles school way 2q < -12
Answer: q >-6
Step-by-step explanation:
Help I will give out
Answer:
x = 9
Step-by-step explanation:
The line splits the sides of the triangle in proportion (the ratios of the pieces is the same for both sides).
Setup:
[tex]\frac{8}{3x+1}=\frac{2}{x-2}[/tex]
"Cross multiply."
[tex]2(3x+1)=8(x-2)\\6x+2=8x-16\\18=2x\\9=x[/tex]
What is the area of the following circle? Use 3.14 for pi.
Answer:
200.96
Step-by-step explanation:
A = 3.14r²
A = 3.14×64
A = 200.96
Which polynomial is a difference of two squares? (4 points)
x2 - 12
x2 + 12
x2 – 36
x2 + 36
Answer:
[tex] {x}^{2} - 36 [/tex]
Step-by-step explanation:
[tex] {x}^{2} - 36 \\ \\ = {x}^{2} - {6}^{2} [/tex]
What is 123,000,000 as a multiple of a power of 10
Answer:
1.23x10^8
Step-by-step explanation:
Divide 9(7y − 15) by 110 − 6y4
What is the domain of the function
Solving the following simultaneous equations, 4x - 5y = 17 and x - 5y = 8,
{4x - 5y = 17
{x - 5y = 8
{x = 5y + 8
{4(5y + 8) - 5y = 17
{x = 5y + 8
{20y + 32 - 5y = 17 | - 32
{x = 5y + 8
{15y = -15 | : 15
{y = -1
{x = 5 * (-1) + 8
{x = 3
{y = -1
guys please help I need the answer right now
What do you know about expressions and equations? What are some examples of expressions and equations? Have you ever thought about what you should do if you don’t know a certain value? Give an example of how you think you should handle that type of situation.
Answer:
Answer: An equations is a number, a variable, or a combination of numbers and variables and operational symbols. An equation is made up of two expressions connected by an equal sign.
Example Expression: 8x+5y-3x-5
Example Equation: 5x-4=x
Step-by-step explanation:
PLS HELP ASAP!! WILL MARK BRANILY TO PERSON WHO IS CORRECT!!!
In a bag there are 3 red marbles, 2 yellow marbles and 1 blue marble. After a marble is selected, it is replaced. What is the theoretical probability of pulling a blue marble and then a yellow marble? 0.1667 0.0556 0.0278 0.3333
Answer:
0.0556
Step-by-step explanation:
P(Blue,Yellow) = 1/6 x 2/6 = 1/18 = 0.0556
plz help!!!!!!!!!!!!!
Answer: The Answer is 15
Step-by-step explanation:
What are three basic states of matter
Answer:
Step-by-step explanation:
Here:
SolidLiquidgas19 Jaime bounces a basketball 30 times in 25 seconds. At that rate,
approximately how many times will she bounce the ball in 65 seconds?
A 78
B 80
C 55
D 64
Answer:
A.78
Step-by-step explanation:
[tex]\frac{30}{25sec}[/tex] -----> [tex]\frac{78}{65sec}[/tex] (scale by 2.6)
You cant get the answer by following these steps.
1. To find out how much we must increase with our scaling we must divide the denominators.
[tex]\sqrt[25]{65}[/tex]= 2.6
2. Then, we do the scaling. Multiply the numerator and the denominator by 2.6.
num- 30 x 2.6= 78.0 (DONT FORGET UR DECIMALS)
dem- 25 x 2.6 = 65
3. Now you have your answer and all you need to do is show it in fraction form as seen below the words "step by step explanation"
Gook luck and pls give brainlist
Please help me ASAP..
Answer:
x = -8
Step-by-step explanation:
5(x - 1) = -45
5x - 5 = -45
add 5 to each side of the equation:
5x = -40
divide both sides by 5:
x = -8
The number of watermelon seeds in the original watermelon is 500. The second watermelon has 5% more. How many seeds are in the second watermelon?
Answer:
s
Step-by-step explanation:
500seeds+25seeds=525seeds
Answer:
520 watermelon
Step-by-step explanation:
hope you have a good day good luck hope you will understand too