Answer:
no solution
Step-by-step explanation:
Based on the information provided, the solution to the system is (-4, -4). Option A is the correct answer.
In a system of equations, the solution represents the values of the variables that satisfy all the equations simultaneously. In this case, we are given the solution points (-4, -4) and (0, 0). Option A is the correct answer.
If the given points satisfy both equations in the system, then it is the solution to the system. By substituting the values of x and y from the given points into the equations, we can check if they hold true.
Let's assume the system of equations is represented as follows:
Equation 1: x + y = -8
Equation 2: 2x + 2y = -16
Substituting (-4, -4) into the equations:
Equation 1: -4 + (-4) = -8 (True)
Equation 2: 2(-4) + 2(-4) = -16 (True)
Since both equations are true for the point (-4, -4), it is the solution to the system. Therefore, the solution to the system is (-4, -4).
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The complete question is, "Based on this work, what is the solution to the system?
a. (-4, -4)
b. (0, 0)
c. no solution
d. infinitely many solutions"
How many moles of sulfate will be formed if you start with 2.80 moles of sodium hydroxide and you have an excess of sulfuric acid
Answer:
1.4 mol
Step-by-step explanation:
2NaOH + H2SO4 -----> Na2SO4 + 2H2O
from reaction 2 mol 1 mol
given 2.8 mol x
x = (2.8*1)/2 = 1.4 mol
Can someone please help me I’m stuck I don’t know what
Answer:
x = 7.5
Step-by-step explanation:
Given BE is parallel to CD and intersects the other 2 sides, it divides those sides proportionally, that is
[tex]\frac{AE}{ED}[/tex] = [tex]\frac{AB}{BC}[/tex] , substitute values
[tex]\frac{10}{8}[/tex] = [tex]\frac{x}{6}[/tex] ( cross- multiply )
8x = 60 ( divide both sides by 8 )
x = 7.5
What’s the answer I need help plssssssssss
Answer:
[tex]\frac{\sqrt[3]{19} }{\sqrt[3]{x} }[/tex]
So A is the answer
Step-by-step explanation:
[tex]y=\frac{19}{x^3}\\\mathrm{Interchange\:the\:variables}\:x\:\mathrm{and}\:y\\x=\frac{19}{y^3}\\\mathrm{Solve}\:x=\frac{19}{y^3}\:\mathrm{for}\:y\\y=\sqrt[3]{\frac{19}{x}}\\\sqrt[3]{\frac{19}{x}}\\\frac{\sqrt[3]{19} }{\sqrt[3]{x} }[/tex]
please help me with this question!
A cone-shaped vase has height 28 cm and radius 9 cm. An artist wants to fill the vase with colored sand. The sand comes in small packages, each of which is a cube with side length 3 cm. At most, how many packages of sand can the artist use without making the vase overflow?
Answer:
87 packages
Step-by-step explanation:
First we need to find the volume of the cone-shaped vase.
The volume of a cone is given by:
V_cone = (1/3) * pi * radius^2 * height
With a radius of 9 cm and a height of 28 cm, we have:
V_cone = (1/3) * pi * 9^2 * 28 = 2375.044 cm3
Each package of sand is a cube with side length of 3 cm, so its volume is:
V_cube = 3^3 = 27 cm3
Now, to know how many packages the artist can use without making the vase overflow, we just need to divide the volume of the cone by the volume of the cube:
V_cone / V_cube = 2375.044 / 27 = 87.9646 packages
So we can use 87 packages (if we use 88 cubes, the vase would overflow)
Answer:
87.97 packsStep-by-step explanation:
This problem bothers on the mensuration of solid shapes, a cone
the expression for the volume of a cone is
[tex]v=\frac{1}{3} \pi r^2h[/tex]
Given data
height h= 28cM
radius r= 9cm
substituting the data the data into the expression for the volume we can solve for the volume
[tex]v=\frac{1}{3} *3.142*9^2*28\\\v= \frac{7126.056}{3}\ \\v= 2375.35cm^3\\\\[/tex]
we know that a pack contains a cube, we then need to calculate the volume of a cube in a pack, given that the length of a cube is 3cm
the volume is = [tex]l^3= 3^3= 27cm^3\\[/tex]
now the volume of a pack is [tex]27cm^3[/tex], hence the amount of packs needed to fill the cone is calculated as,
[tex]=\frac{2375.35}{27}\\ = 87.97 packs[/tex]
How many solutions does this linear system have?
Y= -1/2x + 4 x + 2y=-8
Answer:
No solutions
Step-by-step explanation:
[tex]y=-\dfrac{1}{2}x+4 \\\\x+2y=-8[/tex]
Substitute:
[tex]x+2(-\dfrac{1}{2}x+4)=-8\\\\x-x+8=-8\\\\8=-8[/tex]
This system has no solutions.
Hope this helps!
Write the equation of the line that passes through the point (8, -2) and whose slope is 1/4
Step-by-step explanation:
y + 2 = 1/4(x - 8)
y +2 =1/4x - 2
y = 1/4x - 4
Find the surface area of the composite solid.
PLZ HELP
Answer:
613.5 m^2
Step-by-step explanation:
The area of the base is
A = 1/2 bh
= 1/2 (10) (8.7) =43.5 m^2
We have three sides with all the same area
The area of one side is 10 * 16 = 160
3 * 160 = 480 m^2
Now to the top
We have 3 sides with the same area
The area of one side
A = 1/2 bh
A = 1/2 (10) (6)
= 30 m^2
3* 30 = 90
Add all the areas together to get the total surface area
43.5 m^2+ 480 m^2 + 90 m^2
613.5 m^2
Answer:
[tex]\Huge \boxed{\mathrm{613.5 \ m^2 }}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
We can find the total surface area by adding the surface area of the triangular prism with the surface area of the triangular pyramid at the top.
Surface area of the triangular prism:
10 × 8.7 × 1/2 + 16 × 10 × 3
⇒ 523.5
Surface area of the triangular pyramid:
6 × 10 × 1/2 × 3
⇒ 90
Adding the surface areas:
523.5 + 90
⇒ 613.5
[tex]\rule[225]{225}{2}[/tex]
Using the properties of equality to solve the equation -2b + 7 = -13, you would _____.
A.) add 13 and then divide by -2
B.) subtract 7 and then add 2
C.) subtract 7 and then divide by -2
D.) add 13 and then add 2
this is multiple choice
Answer:
Subtract 7 from each side
Divide each side by -2
Step-by-step explanation:
-2b+7 = -13
Subtract 7 from each side
-2b+7 -7= -13-7
-2b = -20
Divide each side by -2
-2b/-2 = -20/-2
b = 1-
AYÚDENME!!!! T.T PORFA
Answer:
Por el teorema de 30 grados en un triangulo rectangulo la linea roja es [tex]\sqrt{3}[/tex] veces la longitud del cateto opuesto al angulo de de 30. Por tanto la linea roja será:
[tex]l=\sqrt{3}\times3\sqrt{3}=9[/tex]
Luego
[tex]x=9-3=6[/tex]
Olivia is sorting through the coins in her bank to determine how
much money she has. She sees that she has $3.25 in quarters.
The equation 0.25x $3.25 can be used to figure out how
many quarters are in Olivia's bank. Using substitution, Olivia
Answer:
It is 13 quarters.
Step-by-step explanation:
0.25x=3.25
If you add the digits in a two-digit number and multiply the sum by 7, you get the original number. If you reverse the digits in the two-digit
number, the new number is 18 more than the sum of its two digits. What is the original number?
O A 42
B. 24
C. 64
D.46
E.36
Answer: A - 42
Step-by-step explanation:
Let x= ones digit, y=tens digit
1st (original number) :
7(x+y)=10y + x
2nd (new number by reversing the digits): 18+x+y=10x+y
simplifying:
1st condition: 6x=3y
2nd condition: x=2
substituting x=2 to 6x=3y
y=4
Answer:
The answer is 42 but let me tell you this question made my brain cell work an all nighter from how bad I am at riddles LOL
Step-by-step explanation:
Anyone know this ? Need help :(
Answer:
19
Step-by-step explanation:
We can multiply the exponents, giving us 19 ^ (1/9 * 9) = 19 ^ 1 = 19.
Answer:
19
Step-by-step explanation:
(19^1/9)^9
19^(1/9*9)
19^1
19
What is the length of ED
Answer:
ED ≈ 2.6 units
Step-by-step explanation:
Using the Sine rule in Δ DEF
[tex]\frac{FD}{sin115}[/tex] = [tex]\frac{ED}{sin20}[/tex]
[tex]\frac{6.95}{sin115}[/tex] = [tex]\frac{ED}{sin20}[/tex] ( cross- multiply )
ED sin115° = 6.95 sin20° ( divide both sides by sin115° )
ED = [tex]\frac{6.95sin20}{sin115}[/tex] ≈ 2.6 ( to the nearest tenth )
the table shows ordered pairs of the function y=16+0.5x. Which ordered pair could be the missing values represented by (x,y)?
Answer:
(2,17)
Step-by-step explanation:
This is because x is the input and y is the output. All you have to do is create a value for x the substitute it in the equation. Next solve for y 0.5 times 2 is 1, plus 16 is 17. Then just put your values in an order pair.
Answer:
8,20
Step-by-step explanation:
Question 3: Marla bought one necklace and two bracelets for $67.50. Use the following information to determine the amount she paid for each bracelet: The price of the necklace was $27. The bracelets were both the same price. Enter your numerical answer only in the box; do not include the dollar sign.
Answer:
Each bracelet costs 20.25
Step-by-step explanation:
Here's what was given in the equation:
Total Price: $67.50
Price of necklace: $27
We can subtract the $27 from the $67.50 to get $40.5
Since we know that both bracelets are the same price we can divide the $40.5 by 2 to get two of the exact same prices. The result is $20.25 for each bracelet.
Hope this helps
Answer:
20.25
Step-by-step explanation:
Took test got it right.
A piece of timber is x cm long. how long would 10 pieces of timber be put together in a line?
Answer:
10x cm
Step-by-step explanation:
e.g.
5cm cm x 10 = 50cm
--> 10x cm
The length of the 10 pieces together will be, 10x.
What is length?The length is the distance between the extreme ends of the object.
It is known that the length of one piece of timber is x cm.
Multiply 10 and x to determine the total length of 10 pieces of timber together.
10·x=10x
Thus, the total length of 10 pieces of timber will be 10x cm.
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Choose the most appropriate name for the function described below.
The temperature of the coffee depends on the number of minutes it sits on
the desk.
Answer:
D. Temperature(minutes), or t(m)
Step-by-step explanation:
Option D is the correct answer.
( D.temperature(minutes), or t(m) )
Step-by-step explanation:
We are given that:
The temperature of the coffee depends on the number of minutes it sits on the desk.
i.e. the temperature(t) of coffee is a function of time in minutes (t).
i.e. times is a independent variable and temperature is a dependent variable.
Hence, the most appropriate name for the function described below is:
temperature(minutes), or t(m).
Hence, option D is correct.
Answer:
Temperature is the answer
Step-by-step explanation:
I got it right
2y + 4(y + 1) = blank y + blank
[tex]2y + 4(y + 1)[/tex]
Expand the brackets.
[tex]2y + 4y + 4[/tex]
Add the like terms.
[tex]6y + 4[/tex]
6y+4Answer:
6 y + 4
Step-by-step explanation:
=> 2y+4(y+1)
=> 2y+4y+4
=> 6y+4
9) A grandmother is nine times older than her grandson. If she is also 56 years older than
him, what is the age of her grandson after 6 years?
a) 7 years
b) 9 years
c) 11 years
d) 13 years
Answer= 13 years
Solution,
Let the age of grandmother be y
Let the age of grandson be X
according to question,
9x=y ( equation I)
X+56=y( equation ii)
Substituting,
9x=x+56
or,9x-x=56
or,8x=56
or,X=56/8
X=7
Again,
Age of grandson after 6 years
=7 years+6 years
=13 years
Hope it helps
Good luck on your assignment
The age of her grandson after 6 years is 13 years.
What is the algebraic equation?A mathematical statement in which two expressions are set equal to each other is known as an algebraic equation. A variable, coefficients, and constants are commonly included in an algebraic equation.
How to solve this problem?Let the age of the grandmother be x and the age of her grandson be y.
Since the grandmother is 9 times older than her grandson, we can write
x = 9y ...(1)
Since the grandmother is 56 years older than her grandson, we can also write
x = y + 56 ...(2)
We have to solve these two algebraic equations.
Equating the L.H.S. of (1) and (2),
9y = y + 56
i.e. 9y - y = 56
i.e. 8y = 56
i.e. y = 56/8 = 7
So, now the age of her grandson is 7 years.
Therefore the age of her grandson after 6 years is 6+7= 13 years.
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A brick weighs w
kg. Write an expression for the weight of 2 bricks
Answer:
2w
Step-by-step explanation:
weight of 1 brick = w
so to find the weight of 2, times it by 2, which leaves you with 2w
2t + 9 + 7
Idk what this isss
Answer:
2t+16
Step-by-step explanation:
this should 2t+16
because 2t contains a variable and there are no available numbers/figits that match up
and 9 +7 is 16
hope i could help
Answer:
2t +16
Step-by-step explanation:
2t + 9 + 7
Combine like terms
2t +16
To solve the equation, Antwan uses the distributive property, combines like terms, then uses the addition and subtraction properties of equality to isolate the variable term on one side of the equation and the constant term on the other side. What are the possible values of the constant after Antwan has completed these steps?
3 (1/3x + 1) + 4 = -1 - 4 (x + 3)
A.) –3 or 3
B.) –3 or 5
C.) –20 or 5
D.) –20 or 20
Answer:
the answer is D
Step-by-step explanation:
Which inequality is equivalent to this one?
y minus 8 less-than-or-equal-to negative 2
y minus 8 + 8 greater-than-or-equal-to negative 2 + 8
y minus 8 + 8 less-than negative 2 + 8
y minus 8 + 2 less-than-or-equal-to negative 2 + 8
y minus 8 + 2 less-than-or-equal-to negative 2 + 2
please help very fast! Will mark brainliest!
Answer:
(D) The Last OptionStep-by-step explanation:
Answer:
D
Step-by-step explanation:
The width of a rectangle is 8 cm less than the length of the rectangle.
The perimeter of the rectangle is 54 cm.
Find the area of the rectangle
Answer:
166.25 cm²
Step-by-step explanation:
W = L - 8
2W + 2L = 54
2(L - 8) + 2L = 54
2L - 16 + 2L = 54
4L - 16 = 54
4L = 70
L = 17.5, W = 9.5
A = 17.5 x 9.5 = 166.25 cm²
Wendy is taking a cab ride. The ride costs $1.20 for the first 0.5 km, and $0.90 for each additional 0.5 km. If the trip costs $12.00, how many kilometres was the cab ride?
Answer:
6.5 km
Step-by-step explanation:
Subtract 12 - 1.20 for the first 0.5 km
We are left with 10.8
Divide 10.8 by 0.90 to find the other 0.5 km
This gives you 12, which means it was 6 km
The total cab ride was 6.5 km
Answer:
6.5 km
Step-by-step explanation:
First subtract 1.2 from 12, you get 10.8
now you are going to divide 10.8 by .90, you get 12. Now this may seem confusing but now u have do divided it by .5 because you aren't paying for every 1 km you are paying fro every .5 km. So now u have 6 km but no add that extra .5 from earlier and you get 6.5 km.
12.00-1.2=10.8 this is .5 km 10.8 divided by .9 =12
12 divided by .5=6
.5 km + 6 km = 6.5
2x-4=-4x+6
What value of x makes the equation true
A x=5/3
B x=-5/3
C x=5
D x=-5
Answer: 5/3
6x = 10
x=10/6
x=5/3
Answer:
x = 5/3
Step-by-step explanation:
2x-4=-4x+6
Add 4x to each side
2x+4x-4=-4x+4x+6
6x -4 = 6
Add 4 to each side
6x -4 +4 = 6+4
6x = 10
Divide each side by 6
6x/6 = 10/6
x = 5/3
20t- (8t+ 50s + 200)
Answer:
[tex]20t- (8t+ 50s + 200)\\20t- 8t- 50s - 200\\12t-50s-200[/tex]
(6x^2+5x-3)+(x^2-9) find the sum please
Answer:
7x^2+5x-12
Step-by-step explanation:
(6x^2+5x-3)+(x^2-9)
Combine like terms
(6x^2+ x^2+5x-3-9)
7x^2+5x-12
What is the probability brittnie gets at least 35 hits in her next 100 at bats? (round to 3 decimal places.)?
Answer:
0.350
Step-by-step explanation:
Probability is defined as the chances that an event will occur or not occur. The entire idea of probability has to do with 'chance' events. Thus, the probability that an event will surely occur is 1, while the probability that an event will never occur is zero. Probabilities range between 0-1.
Probability of an event is obtained from
Probability= expected outcome/total number of outcomes
In this case,
Expected outcome= 35
Total number of outcomes = 100
Probability= 35/100= 0.350
A plumber charges $70 per hour plus $40 for the call. What does he charge for 4 hours of work? Use x to represent the hours of work.
Answer:
Step-by-step explanation:
70x4 is 280 plus 40 is 320.
Answer:
$320
Step-by-step explanation:
(4 x $70) + $40 is the equation
$280 + $40 = $320
$320
