Answer:
1.61 pounds
Step-by-step explanation:
Weight of Marcos pumpkin = 1.37 pounds
Weight of Gabriel's pumpkin = Weight of Marcos pumpkin + 0.24 pounds
= 1.37 pounds + 0.24 pounds
= 1.61 pounds
Weight of Gabriel's pumpkin = 1.61 pounds
The sum of two numbers is 50. The larger number is 20 more than the smaller number. What are the numbers?
Answer:
the smaller number is 15 and the larger number is 35
Step-by-step explanation:
x+y=50
x=smaller number y=larger number
y=x+20
x+(x+20)=50
2x+20=50
2x=30
x=15
smaller number=15
larger number= 15+20=35
Answer:
Smaller: 15
Larger: 35
Step-by-step explanation:
1. Finding the two equationsLarger: y
Smaller: x
[tex]x+y=50[/tex]
[tex]y=20+x[/tex]
2. Plugging it in[tex]x+20+x=50\\2x=50-20\\2x=30\\x=15[/tex]
[tex]15+y=50\\y=50-15\\y=35[/tex]
x=15; y=35
Hope this helped! Please mark brainliest :)
A 15 foot pole extends t feet below ground and 10 feet above ground. Choose the linear equation that models the situation.
No options are given for the question :
Answer:
t + 10 = 15
Step-by-step explanation:
Given that :
Length of pole = 15 feet
Height below the ground = t
Height above the ground = 10
Tge linear equation which represents the scenario can be modeled as :
Entire length of pole = 15 feets
Length above ground = 10
Length below ground = t
Length below + length above = total length
t + 10 = 15
4. Andrés desea embaldosar el piso de su casa que tiene 375 cm de ancho y 435 cm de largo. Calcula la longitud del lado que tendrían las baldosas. ¿Cuántas baldosas colocaría en total?
Answer:
Sabemos que el piso es un rectángulo de 435 cm de largo y 375 cm de ancho.
Recordar que para un rectángulo de largo L, y ancho W, el área es:
A = L*W
Entonces el área del piso, será:
A = 435cm*375cm = 163,125 cm^2
Primero, sabemos que se utilizaran baldosas (las cuales son cuadradas) y queremos saber la longitud de lado que tendrían las baldosas.
No tenemos ningún criterio para encontrar este lado, solo que (si queremos usar un número entero de baldosas) el largo L del lado de la baldosa deberá ser un divisor de tanto el ancho como el largo del suelo.
Dicho de otra forma
el largo, 435cm, tiene que ser múltiplo de L
el ancho, 375cm, tiene que ser múltiplo de L.
Por ejemplo, ambos números son múltiplos de 5, entonces podríamos tomar L = 5cm
En este caso, el área de cada baldosa es:
a = L^2 = 5cm*5cm = 25cm^2
Y el número total de baldosas que necesitaría usar esta dado por el cociente entre el área del suelo y el area de cada baldosa.
N = ( 163,125 cm^2)/(25cm^2) = 6,525 baldosas.
También sabemos que ambos números (435cm y 375cm) son múltiplos de 15cm
Entonces las baldosas podrían tener 15cm de lado.
En este caso, el área de cada baldosa es:
A = (15cm)^2 = 225cm
En este caso el número total de baldosas necesarias será:
N = ( 163,125 cm^2)/(225cm^2) = 725 baldosas.
write the equation of the line that passes through the points (1,6) and (9,-8). put your answer in fully reduced slope form, unless it is a vertical or horizontal line.
Answer:
Y = - 7/4 X + 31/4
Step-by-step explanation:
M = 14/-8 = - 7/4
6 = - 7/4 + B
24 = -7 + 4B
31 = 4B
B = 31/4
plz help ASAP with explanation
Answer:
19.5 cm
Step-by-step explanation:
the remaining height = 1200 /(12×8)
= 1200/96 = 12.5 cm
so, the height of the tank = 7+ 12.5 = 19.5 cm
[tex]\displaystyle\bf \boxed{V=abh \ ; \ 1dm^3=1litre=1000cm^3} \\\\a=12cm \ ; \ b=8 cm ;\: h_1=7 \; ; \ h_0=h_1+h_2=?\\\\abh_2=1,2litre=1,2dm^3\ = 1200cm^3\\\\ 8\cdot 12 h_2=1200\\\\h_2=12.5 cm\: then \\\\h_0= 7+12,5=19,5 \\\\Answer : the \ height \ of \ the \ tank \ is \ 19,5 cm[/tex]
What is the value of x in the equation 4 . 10 X+52 3 +35x+1 5 ?
:)
Answer:
[tex]x=-3[/tex]
Step-by-step explanation:
Given:
[tex]4\frac{3}{10}-(2\frac{2}{5}x+5\frac{1}{2})=\frac{1}{2}(-3\frac{3}{5}x+1\frac{1}{5})[/tex]
Distribute to remove parentheses:
[tex]4\frac{3}{10}-2\frac{2}{5}x-5\frac{1}{2}=-\frac{18}{10}x+\frac{6}{10}[/tex]
For simplification and clarity, reduce all mixed numbers to simplified common fractions:
[tex]\frac{43}{10}-\frac{12}{5}x-\frac{11}{2}=-\frac{9}{5}x+\frac{3}{5}[/tex]
Combine like terms:
[tex]-\frac{12}{5}x-\frac{6}{5}=-\frac{9}{5}x+\frac{3}{5}[/tex]
Add 6/5 to both sides, then add 9/5x to both sides:
[tex]-\frac{3}{5}x=\frac{9}{5}[/tex]
Divide both sides by -3/5 to isolate x (recall dividing by a number is equal to multiplying by its reciprocal):
[tex]x=\frac{9}{5}\cdot -\frac{5}{3}, \\x=\frac{-9}{3},\\x=\boxed{-3}[/tex]
The equation of a circle is given below. Identify the center and the radius.
4x² + 32x + 4y2 – 20y = – 53
Answer:
Step-by-step explanation:
4.5 as a complex fraction
Answer:
9/2
Step-by-step explanation: I think it is the answer? I really don't know.
Help me out please, thank you
Answer:
The answer is D (-0.7)
Step-by-step explanation:
Using d formular,a is 1,b is -5,c is -4
Input ur values and u will get ur answer
Find the length of side xx in simplest radical form with a rational denominator.
Answer:
x = 2[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin30° = [tex]\frac{1}{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{\sqrt{2} }{x}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
x = 2[tex]\sqrt{2}[/tex]
Answer:
Solution given:
Relationship between perpendicular and hypotenuse is given by sin angle
Sin 30°=opposite/hypotenuse
½=[tex]\frac{\sqrt{2}}{x}[/tex]
x=2*[tex]\sqrt{2}[/tex]
The value of x is 2[tex]\sqrt{2}[/tex]
Martin can travel 174 miles in 3 hours. At this rate, how far can he travel in 7 hours.
Answer:
406
Step-by-step explanation:
all you have to do is divide 174 by 3 and multiply 58 by 7
Lorraine computed a confidence interval for µ based on a sample of size 41. Since she did not know σ, she used s in her calculations. Lorraine used the normal distribution for the confidence interval instead of a Student's t distribution. Will her interval be longer or shorter than one obtained by using an appropriate Student's t distribution? Explain.
Answer:
Shorter
Step-by-step explanation:
When given the population standard deviation, σ, the normal distribution should be used. However, if the sample standard deviation is being used, the t distribution should be used. The implication of using a normal distribution in Lorraine's case when using the sample standard deviation which requires the use of the T - distribution is that, the interval beacjbea smaller as the critical value obtained is smaller than the T critical value with degree of freedom, n - 1 ; 41 - 1 = 40
At α = 0.05 ;
Tcritical, df = 40 = 2.02
Zcritical = 1.96
Mary wants to send some packages to her uncle. It costs her $25 to send 5 packages through a certain shipping company. Consider the number of packages per dollar. Write an equation to represent the relationship.
Answer:
25 divided by 5 equals 5
it cost 5 dollars per package
Hope This Helps!!!
simplify please help me
[tex] \frac{x - 4}{x + 6} - \frac{x - 6}{x + 4} [/tex]
Answer:
[tex]\frac{20}{x^2 + 10x+24}[/tex]
Step-by-step explanation:
common denominators : (x+6)(x+4)
numerators become difference of squares
[tex]x^2 -16[/tex] and [tex]x^2-36[/tex]
[tex]x^2 -16[/tex] - [tex]x^2-36[/tex] = 20
(x+6)(x+4) = [tex]{x^2 + 10x+24}[/tex]
Answer:
i hope it will help you thank u
Find the scale factor of the dilation. Then tell whether the
dilation is a reduction or an enlargement
Answer:
Enlargement
k =[tex]\frac{18}{4}[/tex] = [tex]\frac{9}{2}[/tex]
Step-by-step explanation:
k = [tex]\frac{new}{old}[/tex]
If k > 1 then its an enlargement.
If k < 1 then its a reduction
Find the integer that lies between [tex]$\sqrt[3]{-45}$ and $\sqrt[3]{-101}$[/tex]
∛(-45) = ∛((-1) × 45) = ∛(-1) × ∛45 = -∛45
Similarly,
∛(-101) = - ∛101
Now,
• 3³ = 27 and 4³ = 64, and 27 < 46 < 64, so ∛27 < ∛45 < ∛64, which places ∛45 between 3 and 4
• 5³ = 125, so ∛101 would similarly fall between 4 and 5
So to summarize, we have
3 < ∛45 < 4 < ∛101 < 5
so that
-5 < ∛(-45) < -4 < ∛(-101) < -3
so the integer between these numbers is -4.
Find each measure
Please help me
Answer:
see explanation
Step-by-step explanation:
∠ YXW = ∠ ZXV ( vertically opposite angles ) , so
4a + 15 = 2a + 65 ( subtract 2a from both sides )
2a + 15 = 65 ( subtract 15 from both sides )
2a = 50 ( divide both sides by 2 )
a = 25
Then
(7)
∠ ZXV = 2a + 65 = 2(25) + 65 = 50 + 65 = 115°
(8)
∠ YXW = ∠ ZXV = 115°
∠ ZXY and ∠ ZXV are adjacent angles and sum to 180° , that is
(9)
∠ ZXY = 180° - 115° = 65°
(10)
∠ VXW = ∠ ZXY = 65° ( vertically opposite angles
Stephanie found a sweater on sale for $12.88. The original price of the sweater was $44.95. About how much did she save on the sweater?
rounding
Answer:
$32.07
ROUNDING ANSWER : $32
Step-by-step explanation:
you would subtract $44.95 -$12.88 which would give you $32.07
since you are rounding your answer would be $32
Hope this helps
Answer:
Stephanie saved about $32 on her new sweater.
$44.95 - $12.88 = $32.07
$32.07 rounds down to $32
Step-by-step explanation:
Have the same assignment. Hope this helps!
In ∆ABC if AB = 6 cm , BC = 8cm, AC = 10 cm then value of ∠B is ________
Answer:
90 degrees
Step-by-step explanation:
B is the corner and angle opposite of the side AC.
so, AC is becoming side c, and the other two are a and b (it does not matter which is which).
we use the enhanced Pythagoras formula for general triangles
c² = a² + b² - 2ab×cos(C)
in our example the angle C is named B.
but other than that we simply calculate
10² = 6² + 8² - 2×6×8×cos(B)
100 = 36 + 64 - 96×cos(B)
100 = 100 - 96×cos(B)
0 = -96×cos(B)
cos(B) = 0
=>
B = 90 degrees
HELPsjskskksksksksnxhxhxjsjsns
Manny’s bedroom door is 9 feet tall and 3 feet wide. a new door would cost $1.00 per square foot. how much would a new bedroom door cost in total?
Answer:
It will cost a total of $27.00.
Step-by-step explanation:
Manny's bedroom door is 9 feet tall and 3 feet wide.
The new door costs $1.00 per square foot.
And we want to find the total cost of the new door.
Since the door is a rectangle 9 feet tall and 3 feet wide, its total area is:
[tex]\displaystyle 9\cdot 3 = 27\text{ ft}^2[/tex]
And since it costs $1.00 per square foot, we can simply multiply it to the total area. Hence:
[tex]\displaystyle 27\text{ ft}^2\cdot \frac{\$ 1}{\text{ ft}^2}=\$27.00[/tex]
It will cost a total of $27.00.
Answer:
A new bedroom door costs $27.00
Step-by-step explanation:
The bedroom door mentioned here is in a rectangular shape. That is commonly used in these type of questions:
The area of a rectangle is length x width:
9 feet x 3 feet = 27 square feet
If a new door would cost $1.00 per square feet, the total cost will be the area of the door times $1.00:
27 x 1 = 27
Therefore a new door would cost $27.00
Hope this helps
Find the constant of proportionality (r) in the equation y=rx
Answer:
0.1
Step-by-step explanation:
r = y/x
r = 1.4 / 14 = 0.1
PLS HELP (algebra 1)
solve -19d + 8(7d - 14)
Answer:
[tex]\huge\boxed{-19d + 8(7d - 14)=37d-112}[/tex]
Step-by-step explanation:
[tex]-19d + 8(7d - 14)[/tex]
use the distributive property: a(b + c) = ab + ac
[tex]-19d + (8)(7d)+(8)(- 14)=-19d+56d-112[/tex]
combine like terms
[tex]=(-19d+56d)-112=37d-112[/tex]
1. Another way to think of your net earnings is
the overtime request
the employee discount
the quota that is filled
the amount of your paycheck
Answer:
amount of your paycheck is the correct answer because the summation of all check paid to me will be my net earning.
What ordered pairs are the solutions of the system of equations shown in the graph below?
Answer:
(1,-3) and (4,-6)
Step-by-step explanation:
The solutions are where the linear line intersects the graphed parabola.
Which of the following is most likely the next step in the series?
А.
B.
C.
D.
Answer:
D
Step-by-step explanation:
The answer is D because the pattern adds one angle every one shape. Ex. Triangle, Rectangle, Pentagon, Hexagon
HELP ASAP PLEASE!! calculate the expected gain or loss for stock jkl
Answer: $8.50
Step-by-step explanation:
The expected gain (loss) is a weighted average of the probability of the different gains (losses) and the gains or losses.
Expected gain or loss for stock JKL:
= (Probability of losing $25 * -25) + ( Probability of gaining $5 * 5) + ( Probability of gaining $45 * 45)
= (15% * -25) + (65% * 5) + (20% * 45)
= -3.75 + 3.25 + 9
= $8.50
Answer:8.50$
Step-by-step explanation:
simplify the following radical expression -7√2 + 10 √2
Answer:
3√2
Step-by-step explanation:
* means multiply
-7√2 + 10 √2
take √2 out of the expression
√2 (-7 + 10)
√2 (3)
3√2
-3/11 + 5/9 can you pls explain this step by step
Answer:
[tex]\frac{28}{9}[/tex]
Step-by-step explanation:
[tex]\frac{-3}{11} +\frac{5}{9}[/tex]
[tex]=\frac{-27}{99} +\frac{55}{99}[/tex]
[tex]=\frac{-27+55}{99}[/tex]
[tex]=\frac{28}{99}[/tex]
WILL GIVE BRAINLIEST TO WHOEVER IS RIGHT!!
The gift shop at a science museum sells lollipops that are made to look like the planets.
Each lollipop is
shaped like a sphere and has a radius of 12 mm.
What is the volume of each lollipop?
Either enter an exact answer in terms of pi or use 3.14 for pi.
Answer:
[tex]volume = 2304\pi \ mm^3\\\\volume = 7234.56 \ mm^3[/tex]
Step-by-step explanation:
Radius , r = 12mm
[tex]Volume = \frac{4}{3} \pi r^3 = \frac{4}{3} \pi (12^3)\\\\[/tex]
[tex]=\frac{4}{3} \pi \times 1728\\\\= 4\pi \times 576\\\\= 2304 \pi \ mm^3\\\\or \\\\= 7234.56 \ mm^3[/tex]
