A quadrilateral is a four-sided two-dimensional shape. The following 2D shapes are all quadrilaterals: square, rectangle, rhombus, trapezium, parallelogram and kite.
A restaurant sells large and small bowls of soup. A 150-ounce pot of soup can make 10 large bowls. A small bowl of soup is 3/5 the size of a large bowl. How many small bowls of soup can be served from a 108 once pot of soup
12 small bowls of soup can be served from a 108 ounce pot of soup
150-ounce pot of soup can make 10 large bowls. Hence:
Number of ounce in each large bowl = (150 / 10) = 15 ounce per bowl
For 108 ounce pot of soup:
Number of bowls = 108 ounce / (15 ounce per bowl) = 7.2 large bowls
1 small bowl = (3/5) large bowl
7.2 large bowl = 7.2 large bowl / (3/5 large bowl per small bowl) = 12 small bowls
Therefore, 12 small bowls of soup can be served from a 108 ounce pot of soup.
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the linear function g is defined by g(x)=4x. show that g(3) and g(2) have a difference of 4.
Answer:
the answer is D.
Step-by-step explanation:
well, the y-intercept for f(x) is at
as you can see from the slope-intercept form is at 4, and it has an slope of 2/3.
for g(x), well an y-intercept is when x = 0, what is it from that table? well, is at 0,3, so when x = 0, y = 3, so no dice on that one.
c)
whenever an x-intercept occurs, y = 0, for f(x) that's at
what about the x-intercept for g(x)? well, let's check, when is y = 0? aha! at -9, 0, so when y = 0, x = -9, so no dice on that one either.
d)
well, what is the slope of g(x) anyway? well, let's pick two points off the table to get it hmmm the first two let's use,
and from a), using the slope-intercept form, we know f(x) has a slope of 2/3.
well, 2/3 is larger than 1/3, so no dice.
b)
well, you already know.
1/8 + 9/40 as a fraction in simplest form
Answer:
7/20
Step-by-step explanation:
9/40, 9 divided by 40 is 0.225. 1/8, 1 divided by 8 is 0.125. Add 0.225 and 0.125 you get 0.35. 35% (0.35) of 100 to a fraction is 7/20. 7 divided by 2 is 3.5 or 0.35, 20 divided by 2 is 10 or 1. So yeah. Hope This Helps :)
What is the slope of the line shown below?
Answer:
2
Step-by-step explanation:
ΔX = -1 – 2 = -3
ΔY = -4 – 2 = -6
-6 divided by -3=2
Hope it helps ;)
Step-by-step explanation:
[tex]slope = \frac{y2 -y1 }{x2 - x1} \\ = \frac{ - 4 - 2}{ - 1 - 2} \\ = \frac{ - 6}{ - 3} \\ = 2[/tex]
even if x₁ = -1, y₁ = -4 and x₂ = 2, y₂= 2 the result remains the same.
#CMIIWHELP ME PLS! FOR THE FIRST & SECOND ONE! 10 POINTS EACH!!!
Answer:
y=(0,-1)
x= 2/3
Graph: I went to use Math...way and plug up the equation
Step-by-step explanation:
Please answer correctly and no links pls
Answer: 13.) 49, 14.) 64
Step-by-step explanation:
7x7=49, 8x8=64
The sun causes a flagpole to cast a shadow that measures 85 ft. from the base of the pole. At the same time of the day, a 6.5 ft. tall basketball player casts a shadow that measures 9.75 ft.
The basketball player’s little sister is 3.5 ft. tall. At the same time of the day, determine her shadow’s length to the nearest tenth of a foot.
Answer:
Length of the shadow of player's sister is 5.25 feet.
Step-by-step explanation:
From the figure attached,
AB represents the basketball player and DE is his little sister.
Height of basketball player = 6.5 ft
Length of shadow of the player = 9.75 ft
Height of player's sister = 3.5 ft
Since, ΔABC and ΔEDC are the similar triangles, their corresponding sides will be proportional.
[tex]\frac{AB}{DE}= \frac{ED}{DC}[/tex]
[tex]\frac{6.5}{3.5}= \frac{9.75}{x}[/tex]
x = [tex]\frac{9.75\times 3.5}{6.5}[/tex]
x = 5.25 ft
Therefore, length of the shadow of player's sister is 5.25 feet.
Naomi's bill for breakfast at a restaurant was $82.She left a15% tip.What was the amount of the tip?
Answer:
$12.30 is the tip
Answer:
$12.30 is the answer.
Step-by-step explanation:
82 * 0.15 = 12.3
The scale of map is 1cm : 70km. What is the actual distance between towns that are 5cm apart on the map
Answer: 350km
Step-by-step explanation:
Since we are informed that the scale of map is 1cm : 70km. Therefore, the actual distance between towns that are 5cm apart on the map will be:
= 5 × 70km
= 350km
Therefore, the answer is 350km
yeah please help me
Answer:
Its B and E
Step-by-step explanation:
PLS MAKE ME BRAINLIEST
Order the numbers from least to greatest.
23% , 1/4 , 0.225 .
Of 570 people, 365 were male and 368 had brown hair. Of those with brown hair, 108 were female. What is the probability that a person was male or had brown hair? Write your answer as a reduced fraction.
Answer:
473/570
Step-by-step explanation:
No. of male = 365
No. of female = 570-365 = 205
No. of male with brown hair = 260
No. of female with brown hair = 108
the probability that a person was male or had brown hair = 365/570+108/570 = 473/570 [ for or case we add probabilities]
Answer:
Around 83% 473/ 570
Step-by-step explanation:
365 males + 108 females with brown hair = 473
Divide the number of outcomes desired by the total number of outcomes 473/570 = 0.829824....... = 82.98.....%
pls help me with my testt
Answer:
slope
Step-by-step explanation:
wisusushsheusueueheyehuee
Aside from playing scrabble, what ither indoor recreational activities would you intiate in your family/community despite tha pandemic?
Which statement correctly compares the parking rates for each lot?
O Lot A costs $4.20 less per hour than Lot B.
O Lot A costs $0.10 more per hour than Lot B.
O Lot B costs $0.05 less per hour than Lot A.
O Lot B costs $0.01 more per hour than Lot A.
Answer: O Lot B costs $0.01 more
Step-by-step explanation: I think it’s O Lot B costs $0.01 more per hour than Lot A
The sum of three consecutive odd integers is 189. What
are the integers?
Answer:
61, 63, 65
Step-by-step explanation:
n + n+2 + n+4 = 189
3n = 183
n = 61
Answer:
The three consecutive odd integers are 61, 63, and 65
Step-by-step explanation:
Let the three consecutive odd integers be:
n + 1, n + 3 and n + 5
Therefore:
n + 1 + n + 3 + n + 5 = 189
3n + 9 = 189
3n = 180
n = 60
n + 1 = 61
n + 3 = 63
n + 5 = 65
if john wallked 50 miles than mira,how many miles do you think mira walked if they both walked a total of 290 miles.
Answer:
Mira = 95 miles
Step-by-step explanation:
Given
John walked 50 miles than Mira
The total miles walked is 290
To find
If John walked 50 miles more than Mira and the total miles walked including Mira is 290, then divide 290 by both of them. Once that is done, don't evenly distribute the miles to them. Because remember, John walked 50 miles more than Mira. So we just distribute this with John having 50 miles more. By subtracting 50 from Mira's share and give it to John
Solve
Divide 290 by 2290 ÷ 2 = 145
Subtract 50 from Mira's share and give it to JohnMira's 145 - 50 = 95
Add that 50 to John's 145John's 145 + 50 = 195
Therefore, John ran 195 miles and Mira ran 95 miles.
Kotaro is sitting 30 feet high in a football stadium. The angle of depression to the center of the field is 14 degrees. What is the horizontal distance between Kotaro and the center of the field? Round to the nearest foot.
Answer:
217 feet
Step-by-step explanation:
tan(14) = x/30
=> x = 30tan(14)
=> x = 217 feet
Answer:
x = 7
Step-by-step explanation:
tan(14) = x/30
x = (30)tan(14)
x=7
If 15 ounces of candy cost $3.75, what is the unit price per ounce?
Answer:
$0.25
Step-by-step explanation:
3.75/15 = 0.25
Answer:
0.25
Step-by-step explanation:
3.75 divided by 15= 0.25
Solve the linear inequality: x ≤ -x + 4
Answer:
x ≤ 2
Step-by-step explanation:
i hope this helps :)
Se tienen cuatro libros de Matemáticas, tres Biología y tres Religión ¿De cuántas maneras diferentes se pueden ordenar todos los libros en línea recta?
Answer:
4,200
Step-by-step explanation:
Tenemos un total de:
4 libros de matemáticas
3 libros de biología
3 libros de religión
10 libros en total.
Ahora vamos a contar la cantidad de opciones que tenemos para cada posicion.
Primer libro (tenemos 10 opciones)
segundo libro (tenemos 9 opciones, porque ya colocamos un libro)
tercer libro (tenemos 8 opciones, porque ya colocamos dos libros)
Con esto ya podemos estimar el número de opciones para cada posicion, y sabemos que el número total de combinaciones es igual al producto entre los números de opciones para cada caso. El número total de combinaciones es:
C = 10*9*8*7*6*5*4*3*2*1 = 10!
Ahora si asumimos que no podemos diferenciar los libros de matemáticas, entonces no debemos contar sus permutaciones (si tenemos 4 libros de matemáticas, tenemos 4*3*2*1 permutaciones = 4! permutaciones). Debemos dividir al numero total de combinaciones por 4!.
Y lo mismo pasa para las 3! permutaciones de los libros de biología y las 3! permutaciones de los libros de religión.
Entonces el número total de combinaciones diferentes es:
[tex]C = \frac{10!}{3!*4!*3!} = \frac{10*9*8*7*6*5*4*3*2*1}{(3*2*1)*(4*3*2*1)*(3*2*1)} = 4,200[/tex]
Hay 4200 diferentes formas de ordenar los libros.
3x - 2x + 1 = 8
How do I solve this
Answer:
x = 7
Step-by-step explanation:
3x - 2x + 1 = 8
x + 1 = 8
*subtract 1 from both sides
x = 7
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
Combina los términos semejantes
[tex]3x-2x+1=8\\x+1=8[/tex]
Resta 1 de ambos lados de la ecuación
[tex]x+1-1=8-1\\[/tex]
Simplifica y resta los números
[tex]x=7[/tex]
tell whether a triangle can have the given angle measures:
47°, 109°, 23°
Answer:
No
Step-by-step explanation:
47 + 109 + 23 = 179
But the angle sum of a triangle is 180.
I really need the answer ASAP
Which of the following equations has a solution x = 4? Select all that apply.
0-2 (32 – 4) = -16
{(100 + 2) = 6
20 - 15x = 6 - 2 (4x + 7)
(90 - 12) +6 = -10
Answer:
[tex]-2(3x - 4) = -16[/tex] and [tex]20- 15x = 6 - 2(4x + 7)[/tex]
Step-by-step explanation:
Given
[tex]-2(3x - 4) = -16[/tex]
[tex]\frac{1}{2}(10x + 2) = 6[/tex]
[tex]20- 15x = 6 - 2(4x + 7)[/tex]
[tex]\frac{1}{3}(9x - 12) + 6=-10[/tex]
Required
Equations with [tex]x = 4[/tex] as a solution
[tex]-2(3x - 4) = -16[/tex]
Divide both sides by -2
[tex]3x - 4 = 8[/tex]
Add 4 to both sides
[tex]3x - 4 +4= 8+4[/tex]
[tex]3x =12[/tex]
Divide both sides by 3
[tex]x = 4[/tex]
[tex]\frac{1}{2}(10x + 2) = 6[/tex]
Multiply both sides by 2
[tex]10x + 2 = 12[/tex]
Subtract 2 from both sides
[tex]10x + 2 -2= 12-2[/tex]
[tex]10x = 10[/tex]
Divide both sides by 1
[tex]x = 1[/tex]
[tex]20- 15x = 6 - 2(4x + 7)[/tex]
Open bracket
[tex]20 - 15x = 6 - 8x - 14[/tex]
Collect like terms
[tex]8x - 15x = 6 - 14 - 20[/tex]
[tex]-7x = -28[/tex]
Divide both sides by -7
[tex]x = 4[/tex]
[tex]\frac{1}{3}(9x - 12) + 6=-10[/tex]
Subtract 6 from both sides
[tex]\frac{1}{3}(9x - 12) + 6-6=-10-6[/tex]
[tex]\frac{1}{3}(9x - 12) =-16[/tex]
Multiply both sides by 3
[tex]9x - 12 = -48[/tex]
Add 12 to both sides
[tex]9x - 12 +12= -48+12[/tex]
[tex]9x = -36[/tex]
Divide both sides by 4
[tex]x =-4[/tex]
[tex]-2(3x - 4) = -16[/tex] and [tex]20- 15x = 6 - 2(4x + 7)[/tex] have [tex]x = 4[/tex] has a solution
Answer: 1st and 3rd
Step-by-step explanation:
A central angle of a circle measures π/3 radians.The length of the minor arc intercepted by this central angle is 7 inches. Find the length of the radius of the circle.
9514 1404 393
Answer:
6.68 in
Step-by-step explanation:
The length of an arc is given by ...
s = rθ . . . . θ in radians
Then the radius is ...
r = s/θ
r = (7 in)/(π/3) = 21/π in ≈ 6.6845 in
The radius of the circle is about 6.68 inches.
Answer:
Solution :-Angle of circle = π/3 r
Length of minor arc = 7 in
Now
We know that
Radius = Length/Angle
Radius = 7/(π/3)
Radius = 7/π × 3
Radius = 21/π
[tex] \\ [/tex]
B3BB
Which graph represents the solution set of the inequality x+226?
986
08
4
9 S
7
8
6
+
0 1 -
SS 986
1
2
3
S
6
7
6 8
1 S 986
0
1
2 3
4.
5
9
7 8 9
0
1
2
S
4
5
9
B 2
6
Answer:
C is correct
Step-by-step explanation:
Firstly, we have to solve for x in the solution set of the inequality
We have this as follows;
x + 2 ≥ 6
x ≥ 6-2
x ≥ 4
To graph this, we consider the middle sign which is greater than or equal to
So, the inequality sign has to face the right side
secondly, it has to be shaded on the point 4 due to the fact that it has the ‘equal to’ beneath the single inequality symbol
so, the correct answer here is option C
If interest is compounded twice a year, at what annual rate must you invest $2000 to have $3000 at the end of 6 years?
Step-by-step explaination
How to calculate interest compounded semiannually
Add the nominal interest rate in decimal form to 1. The first order of operations is parentheses, and you start with the innermost one. ...
Solve step one to the power of how many compounding periods. ...
Subtract from step two. ...
Multiply step three by the principal amount.
What is 2 1/2 x 5 as a fraction and how
Answer:
12.5
Step-by-step explanation:
2 1/2 or 2.5 (in decimal form) times 5 equals 12.5
By multiplication of numbers, The solution of the expression 2 1/2 × 5 in form of a fraction is,
⇒ 2 1/2 × 5 = 25 / 2
What is mean by Multiplication?The multiplication of numbers means to add or sum a number to itself a particular number of times. And, The Multiplication can be viewed as a process of repeated addition.
We have to given that;
The expression of the multiplication is,
⇒ 2 1/2 × 5
Now, We can multiply the numbers as;
Here, The expression of the multiplication is,
⇒ 2 1/2 × 5
Change into improper form;
⇒ 5/2 × 5
⇒ 5 x 5 / 2
After multiply the numbers as;
⇒ 25 / 2
Therefore, By multiplication of numbers, The solution of the expression 2 1/2 × 5 in form of a fraction is written as,
⇒ 2 1/2 × 5 = 25 / 2
Learn more about the multiplication visit:
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the diagonals of the rectangle have these equations. y= 4x - 10 y= -4x + 8 find where these lines intersect
hi
if it's intersect, then :
4x-10 = -4x+8
-10-8 = -4x-4x
-18 = -8x
-18/-8 = x
18/8 = x
9*2 /4*2 = X
9/4 = X
So X is 9/4 then y is : 4( 9/4) -10 = 9-10 = -1
Lines intercept at ( 9/4 ; -1)