Jim got a 90% on his test he missed 3 questions. How many questions were on the test?

Answers

Answer 1

Answer: 100 (x - 3) = 90x
100x - 300 = 90x
-100x -100x
------------------------
-300/-10 = -10x/-10
30 = x

There were 30 questions on the test

Answer 2

Answer: he got 27 questions right out of 30

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If 70% is £14 what is the full cost?
PLEASE HELP ASAP

Answers

70% of 14
10%=14/10=1.4
70%=1.4x7=9.8

To the nearest foot, what is the diameter of a circle whose circumference is 47.1 feet?

Answers

Answer:

94.2

Step-by-step explanation:

Micahhas been following stock ratings. He is keeping his eye on Sam's Pork
Bellies, and the pattern can be modeled by a sine function. He has found
it to have a maximum of 3, minimum of −5, and period of 2π. Which of
the following sine functions could model Micah's stock rating?

Answers

Answer:

The required function is f(x)=4sinx-1.

Step-by-step explanation:

The standard sine function is defined as

$f(x)=a\sin(b(x+c))+d$ ....(1)

Where a is amplitude, period is $(2\pi )/(b)$ , c is phase shift and d is midline.

It is given that the maximum value is 3 and the minimum value is -5. Amplitude is half of difference between minimum and maximum.

$a=(3-(-5))/(2)=4$

The value of a is 4.

The period is 2π.

$(2\pi)/(b)=2\pi$

$b=1$

Midline is average of maximum and minimum.

$d=(3-5)/(2)=-1$

Substitute a=4, b=1, c=0 and d=1 in equation (1).

$f(x)=4\sin(x)-1$

Therefore the required function is f(x)=4sinx-1.

the length of a rectangle is 9 centimeters more than the width. the area is 112 square centimeters. find the length and width of the rectangle

Answers

l = w + 9

lw = 112

Substitute l = w + 9 into the second equation

(w + 9)(w) = 112

w^2 + 9w - 112 = 0
(w+16)(w-7) = 0

w = -16
or
w = 7

we have to take the positive value, so w = 7

l = w + 9
l = 7 + 9
l = 16

The length is 16, and the width is 7

here,
let width(b)be x then,
length (l)=9cm+x
area =112 sq cm
now,
area of rectangle=l*b
or, 112=(9+x)x
or, 112=9x+x^2
or, 0=x^2+9x-112
or, 0=x^2+(16-7)x-112
or, 0=x^2+16x-7x-112
or, 0=x(x+16)-7(x+16)
or, 0=(x-7)(x+16)
either,
0=x-7
or,7=x
x=7cm
Or,
0=x+16
or, -16=x
x= -16[impossible,as distance is never negative] so,
x=7cm
therefore,length = 7cm + 9 cm = 16cm and width = 7cm.
;)

during a basketball game, your team scored three times as many 2-point field goals than it did 3-point field goals, and scored a total of 90 points. How many field goals did your team score?

Answers

Answer:

40 field goals

Step-by-step explanation:

Represent 2-point with x and 3-point with y;

Given

$x = 3y$

$2x + 3y =90$

Required

Determine x and y

$x = 3y$

$2x + 3y =90$

Substitute 3y for x in $2x + 3y =90$

$2(3y) + 3y = 90$

$6y + 3y = 90$

$9y = 90$

Divide both sides by 9

$y = 10$

Substitute 10 for y in $x = 3y$

$x = 3 * 10$

$x =30$

The number of field goals = x + y

$x + y = 30 + 10$

$x + y = 40$

Hence, the number of field goals is 40

What is a rational number between the two given numbers?
8/13 and 7/10.

Answers

to find the rational number inbetween those 2 numbers you have to find the average, so 8/13 plus 7/10= 1.315384615384615, than divide that by 2 which equals 0.657692307692308 (0.658 rounded)

0.648 is the rational number inbetween 8/13 and 7/10

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a sweater was on sale for 40% off the regular price.Ella saved $20 by buying the sweater on sale. What was the regular price of the sweater?