Answer:
If the scale factor is increased in 2.5, the increased width will be:
22.5 cmStep-by-step explanation:
Remember that an oblong is longer than it is wide, by this reason, the ratio of 4:3 could mean, if we give a number, by each 4 cm in the length, there is 3 cm in the width, in this form, if the oblong has a length of 12 cm, the width is:
4 cm ⇒ 3 cm12 cm ⇒ xSo:
[tex]x=\frac{12 *3}{4}[/tex][tex]x=\frac{36}{4}[/tex][tex]x=9[/tex]Then, the original width is 9 cm, as the scale factor must be increased 2.5, we can multiply the found width to obtain the increased width:
Increased width = 9 cm * 2.5Increased width = 22.5 cmAs you can see, the increased widt will be 22.5 cm.
what fraction is bigger? 11/20 or 2/5
Answer:
Let's make both of them have a common denominator since we can't just identify by the looks of it.
2 x 4 = 8
___
5 x 4 = 20
11/20 > 8/20
11/20 is bigger.
Move a number to each box to create an equation to solve 8/100 + 9/10
Answer: the answer is 0.98.
Step-by-step explanation:
the equation 8/100 + 9/10 = 0.98.
MARK ME BRAINSET
A recipe that serves 4 people uses 3 potatoes. How many potatoes are needed to serve 20 people?
Answer:
14
Step-by-step explanation:
You need to count by 4´s. So:
4, 8, 12, 16, 20.
3, 6, 9, 12, 14.
I lined them up for you to understand it easier
need math help please!
Answer:
14.1
Step-by-step explanation:
[tex]\frac{\pi *angle*radius}{180}[/tex] here is a formula for finding the answer for the future
We know that the angle is 54 degrees and the radius is 15 units
So now that we have the formula we can plug in the numbers which would like this:
[tex]\frac{\pi*54*15}{180}[/tex]Calculate: 14.1371669412
Round to the nearest tenth = 14.1
Hope this helps :)
A train leaves San Diego at 1:00 pm. A second train leaves the same city in the same direction at 3:00 pm. The second train travels 30 mph faster then the first. If the second train overtakes the first at 6:00 pm, what is the the speed of each of the two trains?
Answer:
The speed of the first train is 45 mph and the speed of the second train is 75 mph
Step-by-step explanation:
Let x represent the speed of the first train in mph. Since the second train, is 30 mph faster then the first, therefore the speed of the second train is (x + 30).
The first train leaves at 1:00 pm, therefore at 6:00 pm, the time taken is 5 hours. Therefore the distance covered by the first train at 6:00 pm = x mph * 5 hours = 5x miles
The second train leaves at 3:00 pm, therefore at 6:00 pm, the time taken is 3 hours. Therefore the distance covered by the second train at 6:00 pm = (x + 30) mph * 3 hours = (3x + 90) miles
Since the second train overtakes the first at 6:00 pm, hence:
3x + 90 = 5x
2x = 90
x = 45
Therefore the speed of the first train is 45 mph and the speed of the second train is 75 mph (45 mph + 30 mph).
Which value of x makes this equation true? -12x - 2(x+9) = 5(x+4)
x = -2
−12x−2(x+9)=5(x+4)
Use the distributive property to multiply −2 by x+9.
−12x−2x−18=5(x+4)
Combine −12x and −2x to get −14x.
−14x−18=5(x+4)
Use the distributive property to multiply 5 by x+4.
−14x−18=5x+20
Subtract 5x from both sides.
−14x−18−5x=20
Combine −14x and −5x to get −19x.
−19x−18=20
Add 18 to both sides.
−19x=20+18
Add 20 and 18 to get 38.
−19x=38
Divide both sides by −19.
x=
−19
38
Divide 38 by −19 to get −2.
x=−2
The required simplified value of x for the given equation is -2/19.
To determine the value of x that makes equation -12x - 2(x + 9) = 5(x + 4) true.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
-12x - 2(x + 9) = 5(x + 4)
-12x -2x - 18 = 5x + 20
-14x - 18 = 5x + 20
-14x - 5x = 20 - 18
-19x = 2
x = -2/19
Thus, the required simplified value of x for the given equations is -2/19.
Learn more about simplification here: https://brainly.com/question/12501526
#SPJ2
What is the area in square centimeters of the triangle below?
Answer:
it's 10 times 7 divided by 2
Given the function h(x)=-x^2 + X+4 determine the average rate of change of function over interval -1< x < 5
Answer:
- 3
Step-by-step explanation:
The average rate of change of h(x) in the closed interval [ a, b ] is
[tex]\frac{h(b)-h(a)}{b-a}[/tex]
Here [ a, b ] = [ - 1, 5 ] , then
h(b) = h(5) = - 5² + 5 + 4 = - 25 + 9 = - 16
h(a) = h(- 1) = - (- 1)² + (- 1) + 4 = - 1 - 1 + 4 = 2
average rate of change = [tex]\frac{-16-2}{5-(-1)}[/tex] = [tex]\frac{-18}{6}[/tex] = - 3
Which of the following functions is graphed below?
A glass is 1/3 full.
Then 63cm3 of orange juice is poured in.
The glass is now 5/8 full.
What is the total volume of the glass?
Answer:
216 cm³
Step-by-step explanation:
1/3x + 63 = 5/8x
subtract 1/3x from each side; (1/3x = 8/24x and 5/8x = 15/24x)
63 = 7/24x
7x = 63(24)
7x = 1512
x = 216
no work needed! pythagorean theorem.
2) x = 4
4) x = sqrt(106) = 10.3
What is another name for 22?
You can rule out both EGF and GEF because they are representing another segment of the graph.
The answer should be DGE. If you use DGE to draw a triangle starting from the first letter (D) and then go to E and then G, then E will be in the middle.
I was taught that the middle letter of any sequence of letters is the angle of said sequence because line DG and line GE connect to form it.
i need the answer to this question
Answer:
SR=1/2*PO
5x-38=1/2*7x-49
2(5x-38)=7x-49
10x-76=7x-49
10x-7x=-49+76
3x=27
x=27/3
x=9
substitute the value of x in RS
5x-38
5*9-38
45-38
7
Step-by-step explanation:
Answer:
RS = 7
Step-by-step explanation:
Given a segment joining the midpoints of 2 sides of a triangle then it is half the length of the third side, that is
5x - 38 = [tex]\frac{1}{2}[/tex] (7x - 49) ( multiply both sides by 2 to clear the fraction )
10x - 76 = 7x - 49 ( subtract 7x from both sides )
3x - 76 = - 49 ( add 76 to both sides )
3x = 27 ( divide both sides by 3 )
x = 9
Then
RS = 5x - 38 = 5(9) - 38 = 45 - 38 = 7
What is the total area of the shape?
A 35 cm?
B 100 cm?
C 70 cm?
D 50 cm?
Answer:
C. 70 cm
Step-by-step explanation:
Split all the shapes, so, the square would be:
4 × 10 = 40
---------------------------------------------------------------------------------------------------------------
Each triangle has an area of 7.5:
7.5 × 4 = 30
---------------------------------------------------------------------------------------------------------------
30 + 40 = 70
---------------------------------------------------------------------------------------------------------------
Have a good day :)
Answer:
70
Step-by-step explanation:
square= 40 (10x4)
two triangles= another square with smaller dimensions= 15
there are two more triangles on the other side so 15x2=30
30+40=70
A Baker has 88 muffins. He fills large boxes that hold 9 muffins each. Then,he puts the leftover muffins in a small box. How many muffins are in the small box?
Answer: 7
Step-by-step explanation:
9 x 9 =81
88-81=7
There will be 7 muffins in the small box.
The varsity soccer team has 20 players. Three of the players are trained to be goalies while the remaining 17 can play any position. Only 11 of the players can be on the field at once.
Answer:
A.) combination
B.) 167,960 ways
C.) 58,344 ways
Step-by-step explanation:
A.)
Choosing 11 players out of 20 available is a cbinationtuon problem simply because the order of choice of the 11 players does not matter on this scenario.
B.)
Here, the coach wants to select her 11 from all available 20:
We apply the combination formula :
nCr ; where ; n = 20 ; selection, r = 11
nCr = n! / (n-r)!r!
20C11 = 20! / 9!11!
20C11 = 167,960
C.)
1 goalie 10 players
1 goalie is selected from the 3 available goalies AND 10 players from the 17 available players :
This gives :
3C1 * 17C10
3C1 = 3
17C10 = 19,448
3C1 * 17C10 = 3 * 19448
= 58,344 ways
Which of the following angles in standard position has a measure between 90° and
180°?
Tom and Sophie travel from home to school and back once a day. How many kilometres more does Sophie travel in 5days than Tom?
Answer:
1000 m
Step-by-step explanation:
Tom's distance = 400 m
Sophie's distance = 600 m
Hence. Distance per day = 600 - 400 = 200 m per days
In 5 days ;
200 m * 5 = 1000 m
Sophie travels 1000 m more
1) Does the table show a proportional relationship? *
1. Last summer, Milo sold water bottles at the park to raise money for his baseball
team.
He made the table below.
High
Temperature
(degrees)
50
85
85
90
100
Number of
Water Bottles
Sold
10
20
25
30
25
Does the table show a proportional relationship? How do you know?
Answer:it is 50. Degrees
Step-by-step explanation:
High
Temperature
(degrees)
50°
Number of
Water Bottles
Sold
10
20
25
30
25
85°
85
90°
100°
Does the table showa proportional relationship? How do you know?
Frozen apple juice comes in a cylindrical can. A can is 12 cm high and has a radius of 3.5 cm. What is the capacity of the can? b. Apple juice expands when it freezes the can is filled to 95 % of its volume. What is the volume of the apple juice in the can.
Answer:
438.501cm^3
Step-by-step explanation:
Given data
Height of can= 12cm
Radius= 3.5cm
The capacity of the can is expressed as
V= πr^2h
V= 3.14*3.5^2* 12
V= 3.14*12.25*12
V= 461.58cm^3
Hence the capacity is 461.58cm^3
We are also given that the juice amount to 95% of the capacity of the can
95/100*461.58= x
0.95*461.58=x
x=438.501cm^3
This means that the volume of the juice is 438.501cm^3
Un submarino se encuentra 50m por debajo del nivel del mar y comienza a subir 2m cada 5 minutos ¿a que profundidad se encuentra a la hora de haber comenzado el ascenso?¿cuanto tiempo le faltara para llegar a la superficie?
Answer:
a) El submarino se encuentra a una profundidad de 26 metros una hora después de haber comenzado el ascenso.
b) Al submarino le falta 1 hora y 5 minutos para llegar a la superficie.
Step-by-step explanation:
a) De acuerdo con el enunciado, la cantidad de metros ascendidos por el submarino es directamente proporcional al tiempo, entonces la profundidad del submarino a la hora de haber comenzado el ascenso se obtiene mediante la siguiente relación lineal:
[tex]h = 50\,m - \frac{2\,m}{5\,min}\times 60\,min[/tex]
[tex]h = 26\,m[/tex]
El submarino se encuentra a una profundidad de 26 metros una hora después de haber comenzado el ascenso.
b) En primer lugar, calculamos el tiempo total del viaje mediante la siguiente relación:
[tex]\frac{2\,m}{5\,min} = \frac{50\,m}{t}[/tex]
[tex]t = 50\,m\times \frac{5\,min}{2\,m}[/tex]
[tex]t = 125\,min[/tex] ([tex]2\,h\,5\,min[/tex])
El tiempo faltante para alcanzar la superficie se calcula mediante la siguiente sustracción:
[tex]\Delta t = 125\,min - 60\,min[/tex]
[tex]\Delta t = 65\,min[/tex] ([tex]1\,h\,5\,min[/tex])
Al submarino le falta 1 hora y 5 minutos para llegar a la superficie.
PLEASE HELP I WILL GIVE BRAINLiST
Write the equation of the circle graphed below.
Answer:
(x+5)²+(y+5)²=18
Step-by-step explanation:
r=√(-8+5)²+(-2+5)²=√(-3)²+(3)²=√9+9
=√18
the equation is :
(x+5)²+(y+5)²=18
find the gradient of line ab
3. Si al doble de un número se le resta su mitad resulta 30. ¿Cuál es el número? Plantear ecuación y resolverla
Respuesta:
2x - 0.5x = 30
x = 20
Explicación paso a paso:
Llamemos "x" a la incógnita, el número desconocido.
Cuando nos referimos al doble de un número, es lo mismo que 2x.
Cuando nos referimos a la mitad de un número, es lo mismo que 0.5 x.
Consideremos que al doble de un número (2x) se le resta su mitad 0.5x) y se obtiene 30. La ecuación resultante es:
2x - 0.5x = 30
1.5x = 30
x = 30/1.5 = 20
simplify: x'2-9/x'2-3x
Answer:
this is the answer Hope's it helps
HELP PLZ I LOVE YOU GUY LET GOOOOO
Answer:
9 no answer 10
10 no answer 630
11 no answer 12.56 ft^3
12 no answer 268.1 km^3
Step-by-step explanation:
1/2 of 5 for my Khan Academy answer
Answer:
...
Step-by-step explanation:
please explain asap :(
Answer:
x = 40
Step-by-step explanation:
Both angles are opposites and will therefore have the same measurements.
Set your formula up as
142 = 3x + 22
142 - 22 = 3x
120 = 3x
120/3 = x
40 = x
You can also test this by placing 40 in place of x in your formula to check your work
3 * 40 + 22 = 142
Which of the following graphs corresponds to the following function?
Answer:
3
Step-by-step explanation:
HELPPPPPP PLEASEEEEEEE