A textbook store sold a combined total of 290 math and history textbooks in a week. The number of math textbooks sold was 64 more than the number of history textbooks sold. How many textbooks of each type were sold
Answer:
113
Step-by-step explanation:
290 - 64 = 226
226 ÷ 2 = 113
Find the values of x and y.
Answer:
Given, x,y and 40 are the angles of a triangle.
Therefore, x+y+40=180
x+y=140
The difference between the two angles x and y is 30.
Therefore, x−y=30 ....(2)
Add equations (1) and (2), we get
2x=170
⇒x=85
Substitute this value n equation (2), we get
85−y=30
⇒y=85-30
⇒y=55
Therefore, angles of a triangle are x=85, y=55 and 40.
Answer:
Step-by-step explanation:
for x :
180° - 40° = 140°
40° / 2 = 20°
x = 20°
for y :
20° + 90° = 110°
180° - 110° = 70°
x = 70°
The probability that Hannah will be late for dinner is 1/2 what is the probability that she will be late for dinner two nights in a row?
Answer:
1/4
or 25%
or 0.25
Step-by-step explanation:
With a question like this, you have to multiply.
1/2 * 1/2 = 1/4
or
0.5 * 0.5 = 0.25
Anything to the right of the decimal point is ________ than 1.
Answer:
The answer is less than 1. :)
How much material, in square inches, is needed to make the flag? square inches If the material costs $0. 15 per square inch, how much will Marta spend on materials to make the flag? $.
The amount of material needed by Marta to make the flag is;
[tex]\rm Area =\sqrt{50(50-d_1)(50-d_2)(50-d_3)}[/tex] square inch.
The total cost of making the flag is;
[tex]\rm 0.15 \times\rm \sqrt{50(50-d_1)(50-d_2)(50-d_3)}[/tex] dollar.
Given
Marta is making a flag with the given dimensions.
The perimeter of the flag is 100 inches.
Let us consider that the flag has a triangular shape.
Hero's formula;According to the Hero's formula;
The area of the triangle is given by;
[tex]\rm Area =\sqrt{s(s-a)(s-b)(s-c)}[/tex]
Where, s is the semi perimeter and a, b, and c are the sides of the triangle.
Semi perimeter s = P/2,
Since the perimeter of the flag is 100 inches.
[tex]\rm S=\dfrac{100}{2}\\\\S=50[/tex]
The dimensions of triangular shape are [tex]\rm d_1, d_2 \ and \ d_3[/tex].
Then,
The area of the triangular flag becomes;
[tex]\rm Area =\sqrt{s(s-a)(s-b)(s-c)}\\\\\rm Area =\sqrt{50(50-d_1)(50-d_2)(50-d_3)}[/tex]
So the amount of material needed to make the flag is;
[tex]\rm Area =\sqrt{50(50-d_1)(50-d_2)(50-d_3)}[/tex]
Therefore,
The cost of material = C = $0.15 per square inch
So the total cost in making the flag will be;
[tex]\rm C\times A=0.15 \times A\\\\=0.15 \times\rm \sqrt{50(50-d_1)(50-d_2)(50-d_3)}[/tex].
Hence, The amount of material needed by Marta to make the flag is [tex]\rm Area =\sqrt{50(50-d_1)(50-d_2)(50-d_3)}[/tex].
To know more about Hero's formula click the link given below.
https://brainly.com/question/24399817
In a class 18 children are girls A quarter of the children in the class are boys. Altogether, how many children are in the class?
Answer:
24
Step-by-step explanation:
let x be the number of children in the class , then
number of boys = [tex]\frac{1}{4}[/tex] x , so
x = [tex]\frac{1}{4}[/tex] x + 18 ( multiply through by 4 to clear the fraction )
4x = x + 72 ( subtract x from both sides )
3x = 72 ( divide both sides by 3 )
x = 24
There are 24 children in the class
3. Hildalgo cuts red fabric into two pieces. One piece
of fabric is five times as long as the other piece. If
the smaller piece is 15 cm long, how long was the
whole piece of fabric before it was cut?
Answer:
well the other piece is 75cm that means the whole fabric is 90cm
Reflect about the line x=5
Step-by-step explanation:
sori po kailangan ko po ng points sori po talaga
40 POINTS NOW HELP 5 MINS COME ON HELP
❥[tex]\Large\pmb{ \underline {\tt Answer}}[/tex]
2x + 5 = 3x - 25
5 + 25 = 3x - 2x
x = 30
Option B
reason:- Attached picture
Answer:
letter C is the right answer
Step-by-step explanation:
hope it helps!
# CARRY ON LEARNING
BRAINLIEST ME PLEASE PLEASE PLEASE PLEASE PLEASE
A savings account earns 5% interest each year, compounded monthly. If a person invests $300 and makes no further deposits or withdrawals, what is the balance in the account after 3 years?
What's the simplified expression of 6x2y3/2x−2?
Step-by-step explanation:
6x^2y^3/2x-2
=6x^2y^3/2 (x-1)
=3x^2y^3/(x-1)
Answer:
3x4y3 just got this on a test and it was right
Step-by-step explanation:
On Monday a shop receives $60.30 by selling bottles of water at 45 cents each
How many bottles are sold?
Answer:
134 bottles
Step-by-step explanation:
For this, I set up a proportion :
60.30/x = 0.45/1
60.30(1) = 0.45x
60.30/0.45 = 0.45x/0.45
x = 134 :)
Answer:
134 bottles
Step-by-step explanation:
conversion of dollars to cent:
$1 equals to 100 cents.
$60.30 will be (60.30*100) cents → 6030 cents
Bottles sold: total money / each bottle cost.
→ 6030 / 45
→ 134
So 134 bottles are sold for 45 cents to earn $60.30 or 6030 cents.
Sam has a party with snacks. One bowl of snacks has a mixture of fish crackers. There are 15 pretzels, 3 orange, 5 yellow, and 7 green fish crackers in the bowl.
What percent of the fish crackers are yellow?
Explanation:
Ignore the 15 pretzels. We're only focusing on the fish crackers.
3 orange + 5 yellow + 7 green = 15 total fish crackers
Of that total, 5 are yellow.
So approximately 5/15 = 1/3 = 0.333 = 33.3% of the crackers are yellow.
Please help, thank you!
Answer:
62.6
Step-by-step explanation:
What is the correct order of operations for simplifying the expression 2 - 3x + 5 + 71 - 5x)2+x
Answer:
Your answer would be: square the binomial, distribute 7 inside the parentheses, and then combine like terms
Step-by-step explanation:
Examine the diagram.
A triangle has angles 1, 2, 3. Angle 4 is an exterior angle to angle 3.
For the angles shown in the diagram, which statements are true? Select all that apply.
The sum of m∠3 and m∠4 is 180°.
The sum of the measures of the adjacent interior angle and one of the remote interior angles is equal to the measure of the exterior angle.
∠3 is supplementary to ∠1.
m∠4 = m∠1 + m∠2.
m∠1 + m∠2 + m∠3 = 180°
The statements that are true regarding the diagram given are:
m∠3 + m∠4 = 180° (angles on a straight line)m∠4 = m∠1 + m∠2 (external angle theorem)m∠1 + m∠2 + m∠3 = 180° (triangle sum theorem).What is the Triangle Sum Theorem?The triangle sum theorem states that all the three interior angles in a triangle have a sum of 180 degrees all together.
Thus, in the diagram given, the statements that are all true are:
m∠3 + m∠4 = 180° (angles on a straight line)
m∠4 = m∠1 + m∠2 (external angle theorem)
m∠1 + m∠2 + m∠3 = 180° (triangle sum theorem).
Learn more about triangle sum theorem on:
https://brainly.com/question/7696843
Answer:
A, D, E
Step-by-step explanation:
I got it right.
3) A truck has 673 boxes of candies. Each box has a dozen candies in it. What is the total number of
candies on the truck?
Answer:
8076 candies is the total number of candies on the truck
Step-by-step explanation:
Each box has a dozen candies in it means 1 box contains 12 candies.If 1 box has 12 candies.
then 673 boxes shall have ( 673 * 12 ) = 8076 candies.
Decompose price effect into income effect and substitution effect.
Answer:
➢ Breaking up Price Effect into Income and Substitution Effect (with diagram) ADVERTISEMENTS: As price of a good X falls, other things remaining the same, consumer would move to a new equilibrium position at a higher indifference curve and would buy more of good X at the lower price unless it is a Giffen good.
[tex]Into \: your Arms[/tex]
#CarryOnLearning
(6p+5) (6p-5)
find this using algebric identities
Answer:
[tex]36p^{2} - 25[/tex]
Step-by-step explanation:
Answer:
36p^2 - 25Step-by-step explanation:
●Using the identity :-
●(a+b) (a-b) = a^2 - b^2
●Here, a = 6p and b = 5
=> (6p+5) (6p-5)
=> (6p)^2 - (5)^2
=> 36p^2 - 25
Hope it helps !!find the value of w and x
Answer:
20
3. Addie visited the elephant exhibit at the zoo. If there were 7 elephants in the
exhibit, how many elephant legs did Addie see?
Show work:
Strategy:
There are 14 red, 10 yellow, 5 green, and 3 purple candies in a bag. What is the probability that a candy chosen at random is not red?
Answer: 9/16
Work Shown:
14 red + 10 yellow + 5 green + 3 purple = 32 total
(32 total) - (14 red) = 18 that aren't red
18/32 = 9/16 is the probability of picking something that isn't red.
A girl's age in 12 years' time is the square
of her present age. Find her present age.
Answer: her present age is 4
Step-by-step explanation:
Proof: 4+12=16
Square root 4 is 16
Answer:
4
Step-by-step explanation:
Let x represent her present age. The given relation is ...
x +12 = x^2
Putting this in standard form, we can factor it:
x^2 -x -12 = 0
(x -4)(x +3) = 0
Solutions to this quadratic are x = 4, x = -3. The -3 solution is extraneous in this context.
The girl's present age is 4.
how do you use quadratic functions?
and please get correct!
Use this for formula
firstly
ax²+bx+c=0
and then
b±√(b²-4ac))/(2a)
1 . step
First compare the given equation with
general form
[tex]{a{x}^{2}\:+\:bx\:+\:c\:=\:0}[/tex]
2. step
Then find the value of discriminant
by the given equation below
[tex]\mapsto{{b}^{2}\:-\:4ac}[/tex]
3. step
subsitute the value of discriminant and other given value in Quadratic formula as per the equation .
[tex]{\rightarrow{\frac{-\:b\:±\:\sqrt{{b}^{2}\:-\:4ac}}{2a}}}\\[/tex]
this is my last question please help
Answer:
71,3Step-by-step explanation:
the first nuclear every time in this topic is y and the second one is x
Suppose that all pizzas have the same thickness and the cost and number of servings both depend only on the surface area.
A pizza 10 inches in diameter
costs £8.99 and serves 2 people.
a) How much should a 14-inch pizza cost
b) How many people would the 14-inch pizza serve?
Answer:
a: 17.62
b: 4
Step-by-step explanation:
not entirely sure if its correct but..
What is the greatest common monomial factor of _________ ?
Answer:
A
Step-by-step explanation:
HELP PLEASE THANK YOU !!!!!
Answer:
00248DNEStep-by-step explanation:
1.f(g(2)) = f(0) = 0
2.g(f(2)) = g(2) = 0
3.f(f(2)) = f(2) = 2
4.g(g(2)) = g(0) = 4
5.(f+g)(4) = f(4) +g(4) = 4 +4 = 8
6.(f/g)(2) = f(2)/g(2) = 2/0 ⇒ DNE
_____
To find the value of the function on the graph, locate the x-value on the horizontal axis and work up the vertical line to the curve of interest. Read the value of that point from the vertical scale.
what is x
1/3+3=4-x
This is too hard for me
Answer:
x = 2/3
Step-by-step explanation:
Add the numbers
[tex]\frac{1}{3}+3=4-x[/tex]
[tex]\frac{10}{3}=4-x[/tex]
Rearrange terms
[tex]\frac{10}{3}=-x+4[/tex]
Subtract 4 from both sides of the equation
[tex]\frac{10}{3}-4=-x+4-4[/tex]
Simplify
[tex]\frac{-2}{3}=-x[/tex]
Divide both sides of the equation by the same term
[tex]\frac{-2}{3}/1=\frac{-x}{1}[/tex]
Simplify
[tex]x=\frac{2}{3}[/tex]
[RevyBreeze]
2x + 2y + 7a -y . Can you guys give working also please
Answer:
below •Step-by-step explanation:
2x + 2y + 7a - y
2x + 1y + 7a Combine like terms
2x + y + 7a Multiply by 1
7a + 2x + y Rearrange terms
7a + 2x + y RESULTS!
HOPE IT HELPS!!!