A textbook store sold a combined total of 411 psychology and history textbooks in a week. The number of history textbooks sold was 69 less than the number of
psychology textbooks sold. How many textbooks of each type were sold?

Answers

Answer 1

Answer:

Step-by-step explanation:

h and p are the number of history and psych textbooks, respectively.

store sold a total of 411 textbooks in a week.

h + p = 411

The number of history textbooks sold was 69 less than the number of psychology textbooks sold.

h = p - 69

Substitution

(p-69) + p = 411

2p = 411+69

p = 240

h = p-69 = 171

171 history books and 250 psych books


Related Questions

60% of 30 can someone help

Answers

the answer to ur question is 18

Arun walked the 6 2/3 kilometre the first day, 5 5/6 kilometre the second day ,and 5 1/3 km the third day .how much did he walk in all ?​

Answers

Answer:

17 5/6 is the answer.

Step-by-step explanation:

6+5+5=16 + 2/3+5/6+1/3

2/3=4/6

1/3=2/6

2+4+5=11/6=1 5/6

1 5/6+ 16=17 5/6

I did this stuff in like 4th grade

You are on a boat and measuring the height of a lighthouse, off in the distance. Your boat is 45ft from the coast. You measure the angle of elevation from your point on the boat to the top of the lighthouse to be 59∘. Find the height of the lighthouse to the nearest foot.

Answers

This is a trigonometry question, where a right angle triangle is created from the boat to the coast to the top of the light house.

x is the angle of elevation
Opposite is the height of the light house
Adjacent is the distance from coast

Tan(x) = opposite/adjacent

tan (59) = opposite/ 45

tan(59) x 45 = opposite

opposite = 74.893

The height of the light house (from sea level) is 75 foot.

Lin says that the inequalities LaTeX: h>150h > 150 and LaTeX: h<160h < 160 describe her height in centimeters.

What do the inequalities tell us about her height?


Can you guys help me!!!!!!!

Answers

Answer:

Lin is between 150 and 160 cm

Step-by-step explanation:

The height is represented by the inequality :

h > 150 and h < 160

h > 150 - - (1)

h < 160 - - - (2)

Combining the two :

h > 150 means 150 is less than h but h is not upto 160

Thus, we have ;

150 < h < 160

This means height, h occurs between the range ; 150 cm and 160 cm


Which representation shows y as a function of x?

Answers

Ur right it’s B you’re smart


Students from the local high school are selling tickets to the town's annual carnival. Adult
admission is $5.00 and child admission is $2.50. Two hours after the carnival opened its first
day, 440 tickets had been sold totaling $1900. How many adults and how many children
entered the carnival during the first two hours it was open?

Answers

Answer:

320 adults and 120 children

Step-by-step explanation:

First set up two sets of equations. One will equal the total amount of money sold and the other will equal the total amount of tickets sold.

5a + 2.5c = 1900 where a is the # of adult tickets sold and c is the # of children tickets sold

a + c = 440

Now solve for either a or c in the second equation. I chose to solve for a. a=440-c

Use that to substitue into the other equation.

5 (440-c) +2.5c = 1900

2200-5c +2.5c = 1900

-5c+2.5c = -300

-2.5c=-300

c=120

Now plug 120 into the equation a+c=440 and solve for a

3 to the power 2x+3 is subtracted by 9 which is equal to 2 times 9 to the power x+1 and is subtrcted by 6

Answers

Answer:

x = -0.5

Step-by-step explanation:

Here we have the sentence:

"3 to the power 2x+3 is subtracted by 9 which is equal to 2 times 9 to the power x+1 and is subtracted by 6"

The first part:

"3 to the power 2x+3 is subtracted by 9..."

This can be written as:

[tex]3^{2x + 3} - 9[/tex]

"... is equal to 2 times 9 to the power x+1 and is subtracted by 6"

[tex]3^{2x + 3} - 9 = 2*9^{x + 1} - 6[/tex]

Let's solve this for x.

First, we can add 9 in both sides:

[tex]3^{2x + 3} = 2*9^{x + 1} - 6 + 9 = 2*9^{x + 1} + 3[/tex]

We also know the relations:

[tex]a^n*a^b = a^{n + b}[/tex]

and

[tex](a^n)^m = a^{n*m}[/tex]

We can write the left part as:

[tex]3^{2x + 3} = 3^{2x}*3^3 = (3^2)^x*3^3 = 9^x*27[/tex]

And the right side as:

[tex]2*9^{x + 1} + 3 = 2*9^x*9 + 3 = 18*9^x + 3[/tex]

Then the equation becomes:

[tex]27*9^x = 18*9^x + 3[/tex]

Now let's move both terms with 9^x to the left side:

[tex]27*9^x - 18*9^x = 3\\[/tex]

[tex](27 - 18)*9^x = 3[/tex]

[tex]9*9^x = 3[/tex]

[tex]9^x = 3/9 = 1/3[/tex]

Now remember that:

Ln(a^b) = b*Ln(a)

Then if we apply the Ln( ) function to both sides, we get:

[tex]Ln(9^x) = Ln(1/3)[/tex]

[tex]x*Ln(9) = Ln(1/3)[/tex]

[tex]x = \frac{Ln(1/3)}{Ln(9)} = -0.5[/tex]

Analia has $550 in her checking account. She wants
to spend part of this money on a VR-Headset. She
wants to have at least $225 left in her checking
account after buying a VR-Headset. The inequality
shown can be used to find t, the amount of money
in dollars that Analia can spend on a VR-Headset.
Solve the inequality.
t + 225 ≤ 550

Answers

Answer:

t ≤ 325

Step-by-step explanation:

the inequality: t+225 ≤ 550

t ≤ 550-225

Subtract 225 from 550

t ≤ 325 :)

please help me rn!! no links!

Answers

Answer:

D

Step-by-step explanation:

Which side lengths cannot form a triangle? Select all that apply.

7 cm, 8 cm, 13 cm

16 cm, 4 cm, 18 cm

24 cm, 14 cm,9 cm

11 cm, 21 cm, 13 cm

11 cm, 22 cm, 11 cm

Answers

7cm,8cm,13cm

16cm,4cm,18cm

11cm,21cm,13cm

Which of the following is an example of replication?

A. Assigning test subjects to test groups arbitrarily
B. Studying the effects of both therapy and no therapy on students
C. Performing five different studies of the same drug
D. Testing patients by giving them either a new drug or no drug

Answers

Answer:

Step-by-step explanation:

Jackson is saving money to attend space camp. Space camp costs $948. So far, Jackson has saved $593. He agrees to do these tasks and will save the money he earns from them. He will walk the neighbor's dog every day for a month to earn $42. He will mow the yard for his dad every week for the summer to earn $44. He will pull weeds in the garden for his mom twice a week for the summer to earn $50. After these tasks, how much more money will Jackson still need to save to go to space camp?

Answers

Answer:

219

Step-by-step explanation:

he will still need 219 dollars to get to 948

Someone help!

If there are 365 days in a year and you buy 365 $15 Starbucks gift cards. How much will that cost?

Answers

Answer:

If you buy a 15 dollar gift card every day for a year, it will cost $5,475.

Just take the price, multiply it by the amount.

Answer:

$5475

Step-by-step explanation:

365 X 15 =

(365 x 10) + (365 x 5) =

3650 + 1825 =

$5475

Subtract 2xy-8 from 5x^2+3xy+12

Answers

Answer:

5x^2 + xy + 20

Step-by-step explanation:

Begin with 5x^2+3xy+12,  Subtracting 2xy yields 5x^2 + xy + 12.  Next, subtracting -8 yields 5x^2 + xy + 12 - (-8), or   5x^2 + xy + 20

Calcula la hipotenusa del triángulo rectángulo cuyos lados miden 8 y 9

Answers

Respuesta:

12.04 pero puede ser 12

Step-by-step explanation:

a^2 + b^2 = c^2

8^2 + 9^2 = c^2

64 + 81 = 145^2

√145 = 12.04 = 12

Riley has 24 more stickers than Maria.
Create an expression to show the number of stickers Riley has in terms of n by moving terms and symbols to the lines.
Then move a phrase to complete the sentence to define the variable n.

Answers

Answer:

n+24=x

Step-by-step explanation:

Answer: the 8

Step-by-step explanation:

Need help fast!!!!!!!!

Answers

Answer:

the arc length of minor arc AC is

[tex] \frac{165}{360} .2\pi.3 = \frac{11\pi}{4} [/tex]

What is this?

F(x) = (1/3)^x

Answers

Answer:

top right is the answer

Step-by-step explanation:

Someone PLEASEEEE HELPPPP

Answers

Answer:

x = 18√3

Step-by-step explanation:

From the picture attached,

In a right triangle,

Measure of one angle = 30°

Measure of adjacent side of the angle = 9 units

We have to find the measure of Hypotenuse from the given properties.

By cosine rule,

cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{\sqrt{3}}{2} =\frac{9}{x}[/tex]

[tex]x=18\sqrt{3}[/tex]

Therefore, measure of Hypotenuse is 18√3 units.

NEED HELP!! NO LINKS PLS
Write a quadratic equation in standard form that has the following solutions: x = 4/3 x = - 2/5

Answers

Answer:

[tex](3x-4)(5x+2)[/tex]

Step-by-step explanation:

Which value of x is a solution of x < -2?
A. -3
B. -2
C. - 1
D. O

Answers

Answer:

A

Step-by-step explanation:

-3 is less than -2, so A (-3) is the answer.

Only x = -3 is less than -2.

What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the following inequality -

x < - 2

Given is -

x < - 2

Now, it can be seen that -

- 3 < - 2

Therefore, only x = -3 is less than -2.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

PLEASE ANSWER I NEED LOTS OF HELP!!!!!!!!!!!!!!

Answers

Answer:

40%

Step-by-step explanation:

Rachael liked 36/90 books movies that she watched. This simplifies to 2/5 which is 0.4. To find the percentage, we multiply 0.4 by 100 to get 40%.

Draw a triangle of sides 6cm,5cm,4cm.and draw an isosceles triangle of the same area

Answers

Answer:

I think not possible to do

find the surface area.

Answers

Answer:

solution given:

For triangle

side1=9ft

side2=10ft

base[b]=11ft

height[h]=7.7ft

and for rectangle

length [l]=3ft

wide [w]=9ft

Now

total surface area=lateral surface area +2curved surface area

=perimeter of triangle×length +2area of triangle

=(9+10+11)×3+2×1/2×2(½×b*h)

=90+11×7.7

=174.7

=175ft²is a required answer.

This poem is an example of which of the following? *

penguin
black, white
waddling, swimming, leaping
A tuxedo in cold water
Emperor

A. Sonnet
B. Cinquain
C. Haiku
D. Limerick

Answers

The answer is B. Cinquain. It is describing a penguin

Answer:

a

Step-by-step explanation:

NEED HELP ASAP
there are 16 ounces in 1 pound. Juan is mailing a package that weighs 96 ounces. He wants to know the weights of the package in pounds

Answers

Answer:

Divide, 16.

Step-by-step explanation:

So, lets look at the unit scale.

For every 16 ounces, there are 1 pound.

To convert ounces to pounds, the number must be divide by 16, since there are 16 ounces in one pound.

The first fill in box answer is division.

Next we must ifnd the actual amount of pounds.

We know that the box weights 96 ounces.

Now lets divide this by ounces per pound, and see what we get:

96/16

=

6

So the box weighs 6 pounds.

This is the answer to the second fill in question.

Hope this helps!

Answer: MULTIPLY N AND 16 THE OTHER GUY IS WRONG

Step-by-step explanation:

DID IT ON I-READY

5x+7y=3914. I'm not quite sure how to write the x and y! First answer will get Brainliest, thanks!

Answers

Answer:

hanges made to your input should not affect the solution:

(1): Dot was discarded near "4.".

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    5*x+7*y-(3914)=0

STEP

1

:

Equation of a Straight Line

1.1     Solve   5x+7y-3914  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  5x+7y-3914  = 0 and calculate its properties

Graph of a Straight Line :

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 3914/7 so this line "cuts" the y axis at y=559.14286

 y-intercept = 3914/7  = 559.14286

Calculate the X-Intercept :

When y = 0 the value of x is 3914/5 Our line therefore "cuts" the x axis at x=782.80000

 x-intercept = 3914/5  = 782.80000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 559.143 and for x=2.000, the value of y is 557.714. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 557.714 - 559.143 = -1.429 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -1.429/2.000 = -0.714

Geometric figure: Straight Line

 Slope = -1.429/2.000 = -0.714

 x-intercept = 3914/5 = 782.80000

 y-intercept = 3914/7 = 559.14286

Step-by-step explanation:

Answer:

y= -5/7x+3914/7

Step-by-step explanation:

Slope form is y=mx+b

5x+7y=3914

7y = -5x+3914 minus the 5x from each side

7y=-5x+3914  divide 7 from each side --> y= -5/7x+3914/7

So, 5x+7y=3914 is in ax+by=c (standard form) the "a" in "ax" can't be negative either.

a rectangle has an area of 34 sqaure feet. A larger rectangle has an area of 124 sqaure feet. what is the percent increase of the larger rectangle to the smaller rectangle​

Answers

Answer:

The difference in areas:

124 - 34 = 90 square feet

Percent increase:

90/34*100% = 264.71%

Which equation is represented by the graph below?
10
10 8 5-4-2
2
В
8
10X
10
0 x = 2 x - 3
O y=x-9

Answers

The equation for that is y=2/3x+6

What is the axis of symmetry for the quadratic equation 4x^2-16x+5 plz help

Answers

Answer:

x=2

Step-by-step explanation:

use completeting the square

[tex]4x^2-16x+5=4(x-2)^2-11[/tex]

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