Hey there! :)
Answer:
(b - 4)(b + 1)
Step-by-step explanation:
b² - 3b - 4
Factor by determining which numbers add up to -3 and multiply to equal -4.
-4 + 1 = -3
-4 × 1 = -4
Therefore, in factored form, the equation would be:
(b -4)(b + 1)
Jori has 7 boxes of books, with each box holding the same number of books. He has 126 books in all. How many books are there per box?
Answer:
18 books per box
Step-by-step explanation:
This is a division problem, in order to find out how many books per box divide the amount of books by the amount of boxes. 126 divided by 7 is 18.
Answer:
[tex]18[/tex] books per box.
Step-by-step explanation:
To figure out out many books are in each box, divide the total amount by how many boxes there are.
[tex]126/7=18[/tex]
There are 18 books in each box.
:)
A 23 foot long piece of wood is leaning against the wall of a house. If the angle of elevation at the base
of the wood to the wall is 75 degrees , how far is the wood from the base of the wall?
Answer:
22.22 feet
Step-by-step explanation:
The piece of wood forms the shape of a right angled triangle with the wall of the house and the floor.
The piece of wood is 23 feet long and it is the hypotenuse.
The angle of elevation of the wood is 75° and we are to find the length of the wood to the base of the wall. Let that be y.
Using trigonometric function SOHCAHTOA:
sin(75) = x/23
=> x = 23 * sin(75)
x = 22.22 feet
The wood is 22.22 feet far from the base of the wall.
The chemicals in my swimming pool use a ratio of 2 tablets of chlorine for every 5 days. Which ratio shows the number of chlorine tablets needed for 20 days? A. 5 to 20 B. 8 to 20 C. 7 to 20 D. 3 to 20
Answer:
The answer would be B. 8 to 20
Step-by-step explanation:
You use 2 tablets per 5 days and there are 20 days 5/20=4 4 times you need to add tablets 4 times 2 is 8 which would make the ratio 8 to 20. Hope this helped. :)
Answer:
B
Step-by-step explanation:
Works on edge 2021
The radius of the semicircle in the following composite figure is 8.5 millimeters. What is the total area of the composite figure rounded to the nearest hundredth?
Answer:
13.35 millimeter. (About)
Step-by-step explanation:
To find the area or circumference of any circle, you need to use pi. So, if we are trying to fine the area of a semicircle, you use the the formula:
πr²/2
So, if the radius is 8.5,
8.5 · 3.14 = 26.69
Now we divide it by 2.
26.69 = 13.345
Since the question is asking to round to the hundredths, the answer will be 13.35 millimeters.
Answer:
185.43 mm 2
Step-by-step explanation:
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Pls Need Help!
Triangle Q S R. Angle Q is 98 degrees and angle R is 37.6 degrees. Triangle T U V. Angle U is 98 degrees and angle V is 37.6 degrees.
Which statement is not true about these triangles?
A. ∠Q ≅ ∠T based on the third angle theorem.
B. ∠S corresponds to ∠V.
C. ∆QRS ~ ∆TVU based on the angle-angle criterion.
D. ∆RQS ~ ∆VTU based on the angle-angle criterion.
Answer: ∠S corresponds to ∠V.
The solution is Option B.
The measure of angle ∠S corresponds to ∠V
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the first triangle be ΔQSR
Let the second triangle be ΔTUV
Now , the measure of ∠Q = 98°
The measure of ∠R = 37.6°
The measure of ∠U = 98°
The measure of ∠V = 37.6°
So , the measure of the third side of the triangles is
The measure of ∠S = measure of ∠T = 180 - ( 98 + 37.6 )
The measure of ∠S = measure of ∠T = 44.4°
And , ∆QRS ~ ∆TVU based on the angle-angle criterion
So , ∠Q ≅ ∠T based on the third angle theorem
And , ∆RQS ~ ∆VTU based on the angle-angle criterion
Hence , the false statement is ∠S corresponds to ∠V.
To learn more about triangles click :
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Which of the following are square roots of the number below? Check all that
apply.
576
A.) 24
B.) -576 1/2
C.) 12
D.) -24
E.) 48
F.) 576 1/2
Answer:
A and D
Step-by-step explanation:
576 ^ 1/2 = + or - 24
a matinee ticket costs $6 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who saw a movie was 35, and the total money collected was $70. which of the following options represents the number of adults who saw a movie that day, and the pair of equations that can be solved to find the numbers?
Answer:
The number of adults who saw a movie that day is 7
and
the pair of equations that can be solved to find the numbers is
6x+y = 70
x + y = 35
Step-by-step explanation:
Let the total no. of adults who saw the move be x
Let the total no. of child who saw the move be y
Given that the total number of adults (a) and children (c) who saw a movie was 35
thus. x + y = 35
cost of ticket for 1 adult = $6
cost of ticket for 1*x adult = $6*x = $6x
cost of ticket for x adult = $6x
cost of ticket for 1 child = $1
cost of ticket for 1*y child = $1*y = $y
cost of ticket for y child = $y
Total cost for x adult and y child = $(6x+y) _______(2)
Given that he total money collected was $70
Thus, we have two equations
6x+y = 70 -------(1)
x + y = 35
y = 35 - x (using this value of y in equation 1 we have)
6x + 35 - x = 70
=> 5x = 70 -35 = 35
=> x = 35/5 = 7
The number of adults who saw a movie that day is 7
and
the pair of equations that can be solved to find the numbers is
6x+y = 70
x + y = 35
Alex measured the rainfall on his property to be 10.5 cm in June which he calculated to be a 35% increase compared to the previous month. how much had it rained in may explain the steps you took to turn in the solution
Answer: 3.675 cm
Step-by-step explanation:
June was 35% more compared to May
35% of 10.5 cm = 3.675 cm in May
(Will mark brainliest + 20 points :)) Gary randomly chose an item from the following lot. Use this lot to match the questions in the first column with their corresponding answer.
Answer:
1) Ice cream cone = 2/7
⇒ The number of ice cream cones in the lot = 4
The total number of items in the lot = 14
Probability = the number of that particular item in the lot ÷ the total number of items in the lot.
Probability = 4/14 = 2/7
2) Soccer Ball = 1/7
⇒ The number of soccer balls in the lot = 2
The total number of items in the lot = 14
Probability = the number of that particular item in the lot ÷ the total number of items in the lot.
Probability = 2/14 = 1/7
3) Books = 5/14
⇒The number of books in the lot = 5
The total number of items in the lot = 14
Probability = the number of that particular item in the lot ÷ the total number of items in the lot.
Probability = 5/14
4) Coins = 3/14
⇒ The number of coins in the lot = 3
The total number of items in the lot = 14
Probability = the number of that particular item in the lot ÷ the total number of items in the lot.
Probability = 3/14
PLS MARK ME AS BRAINLIEST!!
what is the HCF of 98 and 42
How do I solve this 4x-2y=8 y=3/2x-2
Answer:
y=1 and x= .5
Step-by-step explanation:
distribute
the x has to be solved
they when got the answer
input the answer you got for x into the y and subtract and divide
the answer is one for x
BRAINLIEST FOR THE FIRST ANSWER!!! its easy but im lazy tehe Evaluate the following expression for s = 6 and t = - 8. s(6 - t) + 7(s + 1)
Answer:
133
Step-by-step explanation:
We are given the expression:
s(6-t)+7(s+1)
We are also given s=6 and t= -8. Therefore, we can substitute 6 in for s and -8 in for t.
6(6--8) +7(6+1)
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
First, solve inside the parentheses. Subtract 6 and -8.
6(14)+7(6+1)
Solve the other set of parentheses. Add 6 and 1.
6(14)+7(7)
Multiply 6 and 14.
84+7(7)
Multiply 7 and 7
84+49
Add 84and 49
133
Answer:
133
Step-by-step explanation:
s(6 - t) + 7(s + 1)
Plug in numbers:
6(6 - (-8)) + 7(6+ 1)
using Bedmas, solve:
Brackets first: 6(14) + 7(7)
Solve multiplication: 84 + 49
Add together: 133
solve for 25x2 + 9 = 30x
Answer: [tex]x=\frac{3}{5}[/tex]
Step-by-step explanation:
Move all terms to one side.
[tex]25x^2+9-30x=0[/tex]
Rewrite [tex]25x^2+9-30x[/tex] in the form [tex]a^2-2ab+b^2[/tex], where [tex]a=5x[/tex] and [tex]b=3[/tex]
[tex](5x)^2-2(5x)(3)+3^2=0[/tex]
Use the Square of Difference: [tex](a-b)^2=a^2-2ab+b^2[/tex]
[tex](5x-3)^2=0[/tex]
Take the square root of both sides.
5x-3=0
Add 3 to both sides.
5x=3
Divide both sides by 5.
x= 3/5
please help me thank you in advance
Answer:
480
Step-by-step explanation:
The ratio of odd ood is 12/50. Divide 2000 by 500 to get the amount you need to multiply by (40). 12 *40=480
please help! will give brainliest answer!
find x.
a. 2√3
b. 4√3
c. 8√3
d. 8
Answer:
d. 8
Step-by-step explanation:
sin(α) = opposite/hypotenuse
sin(30°) = 4/x
x = 4/sin(30°) = 4/(1/2) = 8
8. Lilly paid $19.16 for a 1kg apple basket. This amount includes a tax of 3%. What was the cost of the apple before tax?
Answer:
19.75. The apples cost 19.75 before the tax.
Step-by-step explanation:
0.97(x)=19.16
19.75
In rectangle WXYZ, A is on side WX such that AX = 4, B is on side YZ such that BY = 18, and C is on side XY such that angle ACB= 90 degrees and CY = 2CX. Find AB.
Answer:2*sqrt(130)
Step-by-step explanation:[tex]From right triangle $AXC$, we have $\angle XAC = 90^\circ - \angle XCA$. We also must have $\angle YCB + \angle ACB + \angle XCA = 180^\circ$, so $\angle YCB = 180^\circ - 90^\circ - \angle XCA = 90^\circ - \angle XCA$, which means $\angle YCB = \angle XAC$. Combining this with $\angle X = \angle Y$, we have $\triangle XCA \sim \triangle YBC$ by AA Similarity, and\[\frac{CX}{AX} = \frac{BY}{CY},\]so\[\frac{CX}{4} = \frac{18}{2CX}.\]\\\\This gives us $2CX^2 = 72$, so $CX^2 =36$ and $CX=6$. \\\\\\\\[/tex][tex]Therefore, $CY = 12$.Applying the Pythagorean Theorem to right triangles $XCA$ and $CYB$ gives us\begin{align*}CA^2 &= XA^2 + XC^2 = 16 + 36 = 52,\\BC^2 &= CY^2 + BY^2 = 144 + 324 = 468.\end{align*}Applying the Pythagorean Theorem to right triangle $ABC$ gives\[AB = \sqrt{AC^2 + BC^2} = \sqrt{52 + 468} = \sqrt{520} = \boxed{2\sqrt{130}}.\](We can also compute $AB$ by dropping a perpendicular from $A$ to $\overline{YZ}$, which creates a right triangle.)[/tex]
The length of the side AB from the figure is approximately 22.8.
Given a rectangle WXYZ.
Consider triangles ΔACX and ΔBCY.
∠AXC = ∠BYC
Also, ∠CAX + ∠ACX = 180° - 90°
So, ∠CAX = 90° - ∠ACX [Equation 1]
Given that ∠ACB = 90°
Also, ∠ACX, ∠ACB, and ∠BCY form linear angles.
So, ∠ACX + ∠ACB + ∠BCY = 180°
So, ∠ACX + 90° + ∠BCY = 180°
∠ACX + ∠BCY = 90°
∠BCY = 90° - ∠ACX [Equation 2]
From [Equation 1] and [Equation 2], ∠CAX = ∠BCY
By AA similarity, triangles ΔACX and ΔBCY are similar.
So, the corresponding sides are proportional.
AX / CY = CX / BY
4 / 2CX = CX / 18
(CX)² = 36
CX = 6
Now, using the Pythagoras theorem:
AC = √(4² + 6²) = √52
BC = √(18² + 12²) = √468
So, AB = √(√52)² + (√468)²
= √520
≈ 22.8
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PLEASE HELP!
The dot plots show two different random samples of the number of lunches purchased in a month by some students. Which statement is BEST supported by the data?
Answer: i think its b
Step-by-step explanation:
Answer is B
Step-by-step explanation:
what is the minimum please answerrr
Answer:
(0,1) should be the anwser your looking for
Can I get some help with this question?
Answer:
$250
Step-by-step explanation:
200/80=2.50
2.50*100=250
Answer:
$250.
Step-by-step explanation:
By proportion the cost should be 200 * 100/80
= 200*5/4
= 50 * 5
= $250.
A shirt that originally cost $38.00 is on sale for 30% off. What is the sale price of the shirt?
1.
$11.40
2.
$26.60
3.
$29.23
$49.40 this is due today pls help.
_________________________________
Solution,
Marked price (MP)=$ 38.00
Discount%=30%
Sale price (SP)=?
Now,
Discount amount= discount% of MP
=30%of 38
=$ 11.4
Again,
Sale price(SP)=MP-Discount
= 38-11.4
=$26.60
The right answer is $ 26.60
Hope it helps...
Good luck on your assignment
_______________________________
Answer:
$26.60Step-by-step explanation:
[tex]orginal \: \: \: \: price = 38.00[/tex]
[tex]discount \\ percentage= 30\%[/tex]
First we have to find the discount.
[tex]discount = 38 .00\times \frac{30}{100} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 11.40[/tex]
Now let's find the sales price of the shirt.
[tex]sales \: \: \: price \\ =original \: \: \: \: price - \: discount \\ = 38.00 - 11.40 \\ = 26.6 0\\ [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Use the graph to find the solution to this system of linear equations.
Answer:
-1, -1/2
Step-by-step explanation:
The solution is the intersecting point. The two lines intersect at (-1, -1/2)
Draw line l and three points on l. How many segments are formed? Name all of them.
Answer:
In the picture attached, line l and the three points are shown. 3 segments are formed, namely, segments AB, BC and AC.
Step-by-step explanation:
A segment has two endpoints. With 3 points on the line, there are 3 segments, AB, BC and AC; each of them includes 2 points.
A quadrilateral has 2 angles that measure 75 degrees each, and one angle measures 150 degrees. What is the measurement of the 4th angle?
please answer fast and stay safe
Answer:
60 degrees
Step-by-step explanation:
A quadrilateral is a four-sided polygon, meaning that all four interior angles have to add up to 360 degrees. You already know that the other three angles add up to 300, so the last angle has to be 60 degrees.
Answer:
x = 60
Step-by-step explanation:
The sum of the angles of a quadrilateral are 360
75+75+150+x =360
Combine like terms
300 +x = 360
Subtract 300 from each side
300+x-300= 360-300
x = 60
The word problem below has too little information. Read carefully and then
choose the fact or facts needed to solve the problem.
Carl rode a horse about 15 feet from the center of the carousel. Allison rode
a horse about 10 feet from the center. How much further did Carl's horse
travel in one complete turn of the carousel?
A. Horses on the outside edge are the fastest.
B. Carl's horse travels 90 feet in one turn.
C. Horses near the center are the slowest.
D. Allison's horse travels 60 feet in one turn.
Answer:
5 feet.
Step-by-step explanation:
We have been given that about 15 feet from the center of the carousel. Allison rode a horse about 10 feet from the center of the carousel.
To find the distance covered by Carl's horse more than Allison's horse we will subtract covered by Allison's horse from the distance covered by Carl's horse.
simplify 2[3-5(2+1)2+5]
the last 2 is 2nd
Answer:
uydfg
Step-by-step explanation:
hkbchjsbchvuhc
Answer:
-44 im pretty sure
A man divided some apples among his two children and himself. If the man took 3 apples for
himself and divided the remaining apples evenly between each of his children and each child had
fewer than 5 apples. How many apples were there originally?
Answer:
15
Step-by-step explanation:
Can someone help me with this.?
Answer:
Below.
Step-by-step explanation:
To find the answer, you have to compare the two equations:
[tex]y=\frac{1}{10}x+60[/tex] and [tex]y=\frac{1}{5}[/tex]
So first, the graph looks different because the two slopes are different. The first one will be more vertical than the second one.
The second difference is the y - intercepts. The first equation starts at (0, 60) and the second starts at the origin.
please help! urgent
The cost of renting a community center is $100, with and additional $10 per guest.
Which graph has the most appropriate scales and units for this situation? (pictures attached)
Answer:
I think it is A
Step-by-step explanation:
the reason i am saying A is that you don't really know how many guests are coming it could be 10 or 15 or even more.
Answer:
Ok so it is A, I'm almost positive because the first fee is 100 but if you add ten people it is two hundred. the price is DEPENDANT on the amount of people so people is the Independent variable or (x) and cost is the dependent variable or (y) graph A lines up perfectly because if you have ten additional people you have 10 x the cost per person wich = 10 and 10 x 10=100, if you start with 100 as the base cost and add 100 in additional people you will owe 200
Step-by-step explanation:
HOLD ON if you are taking this test in plato/edmentum it will be a diffrent answer but the same graph, just try to find the same graph as graph A
A circular lawn has a row of bricks around the edge. The radius of the lawn is about 20 feet.
Which is the best estimate for the area of the grass in the lawn? Use 3.14 for π. Select One.
125 feet
125 square feet
1250 feet
1256 square feet
Answer:1256
Step-by-step explanation:
You need to find the area which is Area=3.14xradiusxradius
So in short hand A=3.14x20x20 which is 1256 feet
