Answer: See explanation
Step-by-step explanation:
The equivalent fraction of 45% is solved as follows:
First, we'll change the percentage to fraction which will be:
45% = 45/100
Then, we'll reduce to lowest term which will be:
45/100 = 9/20
Now, we'll convert the fraction to decimal which will be:
9/20 = 0.45
The mistake that Jenny made was that she divided 90 by 20. This will give 4.5.
Answer: The decimal equivalent is not correct. The decimal point is in the wrong position. The decimal point should be to the left of the 4, so the correct answer is 0.45.y-step explanation:
Solve the equation by completing the square. Round to the nearest hundredth if necessary. x^2 - x = 25
Answer:
[tex]x1 = - 4.525[/tex]
[tex]x2 = 5.525[/tex]
Step-by-step explanation:
[tex]x1 = \frac{1 - \sqrt{101} }{2} [/tex]
[tex]x2 = \frac{1 + \sqrt{101} }{2} [/tex]
The difference between the length and width of a rectangle is 7 units. The perimeter is 50 units. Find the dimensions.
Answer:
Step-by-step explanation:
Hello!
(x +x+7)*2 = 50
(2x+7)*2 = 50
4x+14= 50
4x= 50-14
4x= 36
x= 36/4
x= 9
9 et 16cm
what is the measure of arc MP
Answer:
[tex]m\widehat{MP}=118^{\circ}[/tex]
Step-by-step explanation:
In any circle, the measure of an inscribed angle (an angle created when the intersection of two chords is on the circle) is equal to half of the arc it forms. In this case, [tex]\angle MPN[/tex] is an inscribed angle that forms [tex]\widehat{MN}[/tex]. Therefore, the measure of arc MN must be twice the measure of angle MPN:
[tex]m\widehat{MN}=2\cdot m\angle MPN,\\m\widehat{MN}=2\cdot 31^{\circ}=62^{\circ}[/tex]
Since we want to find the measure of arc MP, we need to know that there are 360 degrees in a circle. Since [tex]\overline{PN}[/tex] is a diameter of the circle (line that has two endpoints on the circle and that passes through the center of the circle), each side of [tex]\overline{PN}[/tex] must be 180 degrees.
Therefore, we have:
[tex]m\widehat{MN}+m\widehat{MP}=180^{\circ},\\62^{\circ}+m\widehat{MP}=180^{\circ},\\m\widehat{MP}=\boxed{118^{\circ}}[/tex]
Consider the following 8 numbers, where one labelled x
is unknown.
27, 20, 34,
x, 7, 47, 26, 41
Given that the range of the numbers is 63,
work out 2 values of x
Answer: 70 and -16
==========================================================
Explanation:
For now, we'll assume x is the largest value (aka the max)
Let's sort the values from smallest to largest.
7, 20, 26, 27, 34, 41, 47, x
We see that 7 is the smallest item, so,
range = max - min = x - 7
Set this equal to 63 and solve for x
x-7 = 63
x = 63+7
x = 70
So x could be equal to 70.
---------------------------
Next, we'll assume that x is the smallest value
That means the min is x and 47 is now the max
max - min = range
47 - x = 63
-x = 63-47
-x = 16
x = -16
So if x is the smallest value, then it must be -16
----------------------------
Finally, we'll let x be somewhere between 7 and 47
Unfortunately, we can't pin down a specific value here since we could have lots of possible values. Three such examples are x = 8, x = 9, and x = 10. There are many others.
If your teacher is looking for 2 values only, then I would refer to the previous two sections and ignore this section entirely.
Help solve 4 and 5 please
Answer:
Step-by-step explanation:
4). a). If the diagonals of a parallelogram are congruent, then it must be a RECTANGLE.
b). If the diagonals of a parallelogram are perpendicular, then it must be a SQUARE.
c). If the diagonals of a parallelogram bisect the angles of the parallelogram, then it must be a RHOMBUS.
d). If the diagonals of a parallelogram are perpendicular and congruent, then it must be a SQUARE.
e). If a parallelogram has four congruent sides, then it must be a SQUARE.
5). Given quadrilateral SELF is a rhombus.
a). All sides of a rhombus are equal,
Therefore, ES = EL = 25
b). Diagonals of a rhombus bisects the opposite angles,
Therefore, m∠ELS = m∠FLS
3x - 2 = 2x + 7
3x - 2x = 7 + 2
x = 9
c). Diagonals of the rhombus bisect the opposite angles, and adjacent angles are supplementary.
m∠ELF = 2(m∠ELS) = 2(2y - 9)
m∠LES = 2(m∠LEF) = 2(3y + 9)
And 2(2y - 9) + 2(3y + 9) = 180
(2y - 9) + (3y + 9) = 90
5y = 90
y = 18
Si consideramos que el planeta Tierra tiene forma esférica y un radio de 6 371 km, ¿cuál es el área total del planeta Tierra?
Respuesta:
5.101 × 10⁸ km²
Explicación:
Primer paso: Información provista
Radio del planeta Tierra (r): 6371 km
Paso 2: Calcular el área del planeta Tierra
Si suponemos que el planeta Tierra tiene forma esférica, podemos calcular su área (A) usando la siguiente fórmula.
A = 4 × π × r²
A = 4 × π × (6371 km)² = 5.101 × 10⁸ km²
When solving a quadratic in the form a x squared + b x + c = 0 we are really finding the x–intercepts. These x–intercepts are also called roots. What is another term for roots or x-intercepts? a. exponents c. zeros b. quadratics d. variables Please select the best answer from the choices provided A B C D
Can someone explain to me by steps on how to do this?
Answer:
h = 8 sqrt(2)
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 45 = 8 / h
h sin 45 = 8
h = 8 / sin 45
h = 8 / (1 sqrt(2)
h = 8 sqrt(2)
Answer:
right answer is option D
Step-by-step explanation:
tan 45 = BC/8. ; BC - Lower side
BC = 8
h = 8sq. + 8sq = √128 = 8√2
if x=3√8, find the value of 1/x
plz its urgent
Answer:
[tex]\frac{1}{x} =\frac{1}{3\sqrt{8} } =\frac{1(\sqrt{8})}{3\sqrt{8}(\sqrt{8})} =\frac{\sqrt{8}}{3*8} =\frac{\sqrt{8}}{24} =\frac{\sqrt{(2)(2)(2)}}{24}=\frac{2\sqrt{2} }{2(12)} =\frac{\sqrt{2} }{12}[/tex]
Could someone help me arrange these pairs of points in increasing order of the slopes of the lines joining them. (15, 30) and (20, 40) (12, 32) and (18, 48) (27, 12) and (72, 32) (45, 15) and (60, 20) (27, 2) and (243, 18) (18, 63) and (24, 84) (63, 9) and (84, 12).
Answer:
(e) (27, 2) and (243, 18)
(g) (63, 9) and (84, 12)
(d) (45, 15) and (60, 20)
(c) (27, 12) and (72, 32)
(a) (15, 30) and (20, 40)
(b) (12, 32) and (18, 48)
(f) (18, 63) and (24, 84)
Step-by-step explanation:
Required
Arrange in increasing order of slope
Slope (m) is calculated using:
[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]
So, we have:
(a) (15, 30) and (20, 40)
[tex]m = \frac{40 -30}{20- 15}[/tex]
[tex]m = \frac{10}{5}[/tex]
[tex]m =2.00[/tex]
(b) (12, 32) and (18, 48)
[tex]m = \frac{48 -32}{18- 12}[/tex]
[tex]m = \frac{16}{6}[/tex]
[tex]m = 2.67[/tex]
(c) (27, 12) and (72, 32)
[tex]m = \frac{32-12}{72- 27}[/tex]
[tex]m = \frac{20}{45}[/tex]
[tex]m = 0.44[/tex]
(d) (45, 15) and (60, 20)
[tex]m = \frac{20-15}{60- 45}[/tex]
[tex]m = \frac{5}{15}[/tex]
[tex]m = 0.33[/tex]
(e) (27, 2) and (243, 18)
[tex]m = \frac{18-2}{243- 27}[/tex]
[tex]m = \frac{16}{216}[/tex]
[tex]m = 0.07[/tex]
(f) (18, 63) and (24, 84)
[tex]m = \frac{84-63}{24- 18}[/tex]
[tex]m = \frac{21}{6}[/tex]
[tex]m = 3.50[/tex]
(g) (63, 9) and (84, 12)
[tex]m = \frac{12 -9}{84- 63}[/tex]
[tex]m = \frac{3}{21}[/tex]
[tex]m = 0.14[/tex]
From least to greatest slope, the pair of points are:
(e) (27, 2) and (243, 18)
(g) (63, 9) and (84, 12)
(d) (45, 15) and (60, 20)
(c) (27, 12) and (72, 32)
(a) (15, 30) and (20, 40)
(b) (12, 32) and (18, 48)
(f) (18, 63) and (24, 84)
Answer:
From least to greatest slope, the pair of points are:
(e) (27, 2) and (243, 18)
(g) (63, 9) and (84, 12)
(d) (45, 15) and (60, 20)
(c) (27, 12) and (72, 32)
(a) (15, 30) and (20, 40)
(b) (12, 32) and (18, 48)
(f) (18, 63) and (24, 84)
Step-by-step explanation:
Please help :) angles
Answer:
y = 95
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
y+25 = 120
y = 120-25
y = 95
Which parent function is represented by the graph?
A rectangle prism has length 12 centimeters and width 4 centimeters. If its surface area is 467 square centimeters, what is the height of the prism
Answer:
11.59 centimeters
Step-by-step explanation:
Use the formula for the surface area of a rectangular prism: A = 2(wl + hl + hw)
Plug in the surface area, length, and width. Then, solve for h:
A = 2(wl + hl + hw)
467 = 2((4)(12) + h(12) + h(4))
467 = 2(48 + 12h + 4h)
467 = 2(48 + 16h)
467 = 96 + 32h
371 = 32h
11.59 = h
So, the height of the prism is approximately 11.59 centimeters
What is the equation of a circle with its center at (−6,−3) and a radius of 12?
Answer:
(x+6)^2 + ( y +3)^2 = 144
Step-by-step explanation:
The equation of a circle is given by
(x-h)^2 +(y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x- -6)^2 + ( y - -3)^2 = 12^2
(x+6)^2 + ( y +3)^2 = 144
Answer:
x² + y² + 12x +6y - 99 = 0
Step-by-step explanation:
Given :
Centre = (-6,-3) Radius = 12 ,Using the Standard equation of circle ,
( x - h)² + (y-k)² = r² ( x +6)² + (y+3)² = 12² x² + 36 + 12x + y² + 9 + 6y = 144 x² + y² + 12x + 6y +45-144 = 0 x² + y² + 12x +6y - 99 = 0Please help with this problem.
Answer:
( 10 m n^3) ^2
Step-by-step explanation:
100 m^2 n^6
Break into pieces
What number times itself gives 100
10*10 = 100
m*m = m^2
n*n*n*n*n*n = n^6 Breaking into two parts
n^3 * n^3 = n^6
( 10 m n^3) ^2
Answer:
[tex](10mn^3)^2[/tex]
Step-by-step explanation:
The square root of 100 is 10.
Divide the exponents of [tex]m^2 n^6[/tex] by 2.
You get: [tex]mn^3[/tex]
Put them together and add on the ^2
You get [tex](10mn^3)^2[/tex]
I hope this helps!
what is 121 divided by 57,246
Answer:2.1136848
Step-by-step explanation:
Answer:
0.00211368479
Step-by-step explanation:
Answer the following
please help!!!!!! 50 points!!
Area of first rectangle= 5×2=10units
Area of second rectangle= 3×2= 6 units
Area of third rectangle = 5×2= 10 units
Now,
Total area of figure = 10+6+10= 26units✓
Answer:
26
Step-by-step explanation:
we want to figure out the area of the composite figure notice that the composite figure contains three rectangles therefore in order to find the area of the composite figure we need find the area of the rectangles first
finding the area of the first & last rectangles:
the first and last rectangles are congruent therefore they will have the same area thus
[tex] \displaystyle A _{ \rm 1)rect} = A _{ \rm 3)rect} = l \times w[/tex]
from the figure we obtain:
[tex]l = 5[/tex][tex]w = 2[/tex]thus substitute:
[tex] \displaystyle A _{ \rm 1)rect} = A _{ \rm 3)rect} = 5\times 2[/tex]
simplify multiplication:
[tex] \displaystyle A _{ \rm 1)rect} = A _{ \rm 3)rect} = 10[/tex]
finding the area of the middle rectangle:
the middle rectangle has a length and width of 3 and 2 respectively Thus
[tex] \displaystyle A _{ \rm 2)rect} =3 \times 2[/tex]
simplify multiplication:
[tex] \displaystyle A _{ \rm 2)rect} =6[/tex]
finding the area of the composite figure:
[tex] \rm \displaystyle A _{ \rm composite} = A _{ \rm 1)rect} + A _{ \rm 2)rect} + A _{ \rm 3)rect} [/tex]
substitute what we got:
[tex] \rm \displaystyle A _{ \rm composite} = 10 + 6 + 10[/tex]
simplify addition:
[tex] \rm \displaystyle A _{ \rm composite} = \boxed{ 26}[/tex]
hence,
the answer is 26 square units
Ivan sabe que pir su salud debe tomar agua hervida , lleno 3 botellas de agua hervida para empezar los lleno de 7,2 L usando 3 botellas grandes y 5 botellas pequeñas , no lleno otra botella ya que le faltaba 0,5L pero lleno una pequeña mas y le quedaron 0,3L de ahua hervida para tomar ¿Cuanta agua hervida tenia al inicio ivan?
Answer:
Al inicio Iván tenía 8.1 litros de agua hervida.
Step-by-step explanation:
Dado que Iván sabe que por su salud debe tomar agua hervida, y llenó 3 botellas de agua hervida para empezar con 7,2 L usando 3 botellas grandes y 5 botellas pequeñas, y no llenó otra botella ya que le faltaba 0,5L pero llenó una pequeña mas y le quedaron 0,3L de agua hervida para tomar, para determinar cuánta agua hervida tenia al inicio Iván se debe realizar el siguiente cálculo:
Botella grande = -0.5 litros
Botella chica = +0.3 litros
0.5 + 0.3 = 0.8
Así, la diferencia entre una botella grande y una botella chica es de 0.8 litros.
3X + 5(X - 0.8) = 7.2
3X + 5X - 4 = 7.2
8X = 7.2 + 4
X = 11.2 / 8
X = 1.4
3 x 1.4 + 5 x 0.6 = 7.2
7.2 + 0.6 + 0.3 = 8.1
Por lo tanto, al inicio Iván tenía 8.1 litros de agua hervida.
PLEASE HELP, AND FAST! I WILL GIVE BRAINLIEST!!
Given the expression: 6x10 − 96x2
Part A: Rewrite the expression by factoring out the greatest common factor.
Part B: Factor the entire expression completely. SHOW THE STEPS OF YOUR WORK.
Answer:
Step-by-step explanation:
factor the numerical coefficients (6 and 96)
HCF 6 and 96 is 6
HCF x^10 and x^2 = x^2
HCF: 6x^2
(6* x^8*x^2 - 16*6 x^2) Take out the highest common factor
6x^2 (x^8 - 16)
Which of the following number is not a perfect cube? 64 or 729 or 800 or 1331 can some1 say it fastt plsss
Answer:
800
Step-by-step explanation:
9.28 is answer of cube 800
-4b + 8c + 12 - 8b -2c & simplify
Answer:
Combine like terms
-4b + 8c + 12 - 8b -2c
-4b - 8b + 8c - 2c + 12
-12b + 6c + 12
6(-2b + c + 2)
What is 3/4 as a percentage
Answer:
75%
Step-by-step explanation:
A percent is a value out of 100.
Change the fraction [tex]\frac{3}{4}[/tex] to an equivalent fraction with the denominator equal to 100.
[tex]\frac{3}{4}[/tex] × [tex]\frac{25}{25}[/tex] = [tex]\frac{75}{100}[/tex]
This fraction represents a percent.
[tex]\frac{75}{100}[/tex] = 75%
If [tex]x[/tex] is real and p=[tex]\frac{3(x^{2} +1)}{2x-1}[/tex], prove that [tex]p^{2}[/tex]-3(p+3) ≥ 0
Answer:
[tex]{ \tt{p=\frac{3(x^{2} +1)}{2x-1}}} \\ { \tt{p(2x - 1) = 3( {x}^{2} + 1) }} \\ { \tt{2px - p = 3 {x}^{2} + 3 }} \\ { \tt{3 {x}^{2} - (2p)x + (p + 3) = 0}} [/tex]
By factorization :
[tex]{ \tt{ ( {p}^{2} - 3)( p + 3) \: is \: the \: zero}}[/tex]
Since the roots are real, they're greater than zero ( 0 < x ≤ +∞ ):
[tex]{ \tt{ ({p}^{2} - 3})(p + 3) \geqslant 0}[/tex]
Which of the following is most likely the next step in the series?
| || H
Oat И
O B. #
och
#
D.
Answer:
D makes sense. I think the answer is D.
12 5/6 - 3 5/12 - 1 1/2 =??
Answer:47/12
=3.9167
Step-by-step explanation:
Step-by-step explanation:
I hope this will help you
stay safe
A polynomial p has zeros when x = 5, x = -1, and x = -1/4
What could be the equation of p?
A. p(x) = (x +5)(x + 1)(4x + 1)
B. p(x) = (x - 5)( x + 1)(4x + 1)
C. p(x) = (x + 5)(x - 1)(4x - 1)
D. p(x) = (5x)(-1x)( - 1/4x)
Answer:
[tex]x=5[/tex] ⇒ [tex](x-5)=0[/tex]
[tex]x=-1[/tex] ⇒[tex](x+1)=0[/tex]
[tex]x=-1/4[/tex] ⇒ [tex](x+1/4)=0[/tex] ⇒ [tex](4x+1)=0[/tex]
[tex]p(x)=(x-5)(x+1)(4x+1)=0[/tex]
[tex]Option(B)[/tex]
-------------------------
Hope it helps...
Have a great day!!
Answer:
p(x) = (x-5) (x+1)(4x+1)
Step-by-step explanation:
We know the equation for a polynomial with zeros is written as
f(x) = a( x-b1) (x-b2)...... where b are the zeros
We have zeros x = 5, x = -1, and x = -1/4
p(x) = a( x-5) (x- -1) (x - -1/4)
p(x) = a (x-5) (x+1) (x+1/4)
Let a = 4
p(x) = 4 (x-5) (x+1) (x+1/4)
p(x) = (x-5) (x+1)(4x+1)
Miss pat bake cupcakes for the school's Tuck Shop .each baking tray can hold one doesen cupcake .she wants to bake 48 cupcakes .how many trays of cupcakes she will need to bake?
A .1
B. 2
C.3
Given that,
→ She wants to bake 48 cupcakes.
We have to find,
The number of trays of cupcakes she will need to bake.
The formula we use,
→ No. of cupcakes ÷ One dozen
Then we can divide,
→ 48 ÷ 12
→ 4 trays
Thus, none of the option is correct.
3c + 2 = -22
whats c?
3c+ 2= -22
⇔3c = -22 -2
⇔3c = -24
⇔c= -24/3
⇔c=- 8
Answer:
3c= -22-2
3c= -24
c= -24/3
c= -8
Step-by-step explanation:
What expression is equal to (3 x 5) x 4
Answer:
60
Step-by-step explanation:
Step 1:
3 x 5 = 15
Step 2:
15 x 4 = 60
Answer:
well 3. x 5 is 15, then multiply by 4 to get 60.
Step-by-step explanation:
