Answer:
6.5 x 5=32.5
67.5/100 x 30,000= $20,250
Christina needed 8 pounds of flour to make cookies that will
serve 44 people. How many pounds of flour will Christina
need to feed 66 people?
Answer:
12
Step-by-step explanation:
4 pounds is 22 people
8 is 44
12 is 66
y=x+4
2x+3y=17
SOLVE USING SUBSITUTION
Show work
Answer:
( 1, 5 )
x = 1
y = 1
Step-by-step explanation:
y = x + 4
2x + 3y = 17
Since they gave us the value of "y" we can use that and substitute it into the equation to find what "x" is.
2x + 3y = 17
2x + 3 ( x + 4 ) = 17
Distributive Property
2x + 3 * x + 3 * 4 = 17
2x + 3x + 12 = 17
Combine Like Terms ( 2x and 3x)
5x + 12 = 17
Subtract 12 on both sides of the equation
5x + 12 - 12 = 17 - 12
5x = 5
Divide by 5 on both sides to isolate the variable
5x/5 = 5/5
x = 1
Now that we have what "x" is, we can substitute that into one of the equations to get the value of "y"
y = x + 4
y = 1 + 4
y = 5
x = 1
y = 5
( x, y )
( 1, 5 )
Hope this helped!
Have a supercalifragilisticexpialidocious day!
y = -x + 3
What is the slope for this?
Stella wnats to buy an atlas that costs 510, a novel that costs $8, and a comc that costs $6. She saved 516 from her pocket money. How much
more money does she need to save? What equation is correct?
Answer:
where are the equations
Step-by-step explanation:
m is how much more she needs to save
510+8+6=516+m
m=8
Find the surface area of the cuboid shown below
Answer:
Surface area of cuboid = 352 cm
Step-by-step explanation:
Given that:
Height of cuboid = 8 cm
Length of cuboid = 12 cm
Width of cuboid = 4 cm
Surface area = 2lw + 2lh + 2hw
Putting all the values;
Surface area = 2*12*4 + 2*12*8 + 2*8*4
Surface area = 96 + 192 + 64
Surface area = 352 cm
Hence,
Surface area of cuboid = 352 cm
Solve 7+2x over 3 = 5
Please and thank you! x
Answer:
x = 4
Step-by-step explanation:
(7 + 2x) / 3 = 5
Cross product
7 + 2x = 5 * 3
7 + 2x = 15
Subtract 7 from both sides
2x = 15 - 7
2x = 8
Divide both sides by 2
x = 8/2
x = 4
What is the slope of the graphed line?
Answer:
3/9
Step-by-step explanation:
3/9 because it goes up 3 right 9
Find the locus of a point such that the sum of its distance from the point ( 0 , 2 ) and ( 0 , -2 ) is 6.
~Thanks in advance !
Answer:
[tex]\displaystyle \frac{x^2}{5}+\frac{y^2}{9}=1[/tex]
Step-by-step explanation:
We want to find the locus of a point such that the sum of the distance from any point P on the locus to (0, 2) and (0, -2) is 6.
First, we will need the distance formula, given by:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let the point on the locus be P(x, y).
So, the distance from P to (0, 2) will be:
[tex]\begin{aligned} d_1&=\sqrt{(x-0)^2+(y-2)^2}\\\\ &=\sqrt{x^2+(y-2)^2}\end{aligned}[/tex]
And, the distance from P to (0, -2) will be:
[tex]\displaystyle \begin{aligned} d_2&=\sqrt{(x-0)^2+(y-(-2))^2}\\\\ &=\sqrt{x^2+(y+2)^2}\end{aligned}[/tex]
So sum of the two distances must be 6. Therefore:
[tex]d_1+d_2=6[/tex]
Now, by substitution:
[tex](\sqrt{x^2+(y-2)^2})+(\sqrt{x^2+(y+2)^2})=6[/tex]
Simplify. We can subtract the second term from the left:
[tex]\sqrt{x^2+(y-2)^2}=6-\sqrt{x^2+(y+2)^2}[/tex]
Square both sides:
[tex](x^2+(y-2)^2)=36-12\sqrt{x^2+(y+2)^2}+(x^2+(y+2)^2)[/tex]
We can cancel the x² terms and continue squaring:
[tex]y^2-4y+4=36-12\sqrt{x^2+(y+2)^2}+y^2+4y+4[/tex]
We can cancel the y² and 4 from both sides. We can also subtract 4y from both sides. This leaves us with:
[tex]-8y=36-12\sqrt{x^2+(y+2)^2}[/tex]
We can divide both sides by -4:
[tex]2y=-9+3\sqrt{x^2+(y+2)^2}[/tex]
Adding 9 to both sides yields:
[tex]2y+9=3\sqrt{x^2+(y+2)^2}[/tex]
And, we will square both sides one final time.
[tex]4y^2+36y+81=9(x^2+(y^2+4y+4))[/tex]
Distribute:
[tex]4y^2+36y+81=9x^2+9y^2+36y+36[/tex]
The 36y will cancel. So:
[tex]4y^2+81=9x^2+9y^2+36[/tex]
Subtracting 4y² and 36 from both sides yields:
[tex]9x^2+5y^2=45[/tex]
And dividing both sides by 45 produces:
[tex]\displaystyle \frac{x^2}{5}+\frac{y^2}{9}=1[/tex]
Therefore, the equation for the locus of a point such that the sum of its distance to (0, 2) and (0, -2) is 6 is given by a vertical ellipse with a major axis length of 3 and a minor axis length of √5, centered on the origin.
4|m-n|
If m=-7 and n=2
declare the variables
set up the equation:
The difference in ages between Joe and his older brother Sam is five years. The sum of
their ages is 35. How old is each brother?
Given a quadratic equation px^2 + 8x + 2 does not have real roots. Determine the range of the values of p.
[4 marks]
Step-by-step explanation:
For a quadratic equation to have no real roots, the discriminant b² - 4ac must be negative.
For px² + 8x + 2 = 0,
We have a = p, b = 8 and c = 2.
=> (8)² - 4(p)(2) < 0
=> 64 - 8p < 0
=> 8p > 64
=> p > 8
Hence the range for p is p > 8.
A thermometer is used to calculate the average kinetic energy of the molecules in in a substance what is the theoretical temperature at which molecular motion stop?
A. 9 degrees Celsius
B. 32 degrees Fahrenheit
C. Absolute
D. 273 Kalvin
state if polygons are similar
Answer:
B
Step-by-step explanation:
Help please!!!!!!
Explain
Solve the system of equations using elimination, or write “no solutions” or “infinite solutions” where applicable
4x-y = 7
Answer:
no solutions
Step-by-step explanation:
i guess im
Pls help my brain is fried and this is my last question
Answer: 14, 16, 18, 20 in that order
Step-by-step explanation:
If the bottom response square is asking for a general equation, it would be y=x+7
If water freezes at 0ᴼC, which temperature is above freezing
Answer:
32 F
Step-by-step explanation:
Solve.
3/5x - 7 = 23
A. x = 40
B. x = 45
C. x = 50
D. x = 55
Answer:
(C) x=50
Step-by-step explanation:
[tex]\frac{3}{5 }x -7=23[/tex]
[tex]\frac{3x}{5} -7=23[/tex]
[tex]\frac{3x}{5} -7+7=23+7[/tex]
[tex]\frac{3x}{5}=30[/tex]
[tex]3x=30* 5[/tex]
[tex]3x=150[/tex]
[tex]x=50[/tex]
Answer:
(C) X = 50
Step-by-step explanation:
(3/5)*x-7 = 23 // - 23
(3/5)*x-23-7 = 0
3/5*x-30 = 0 // + 30
3/5*x = 30 // : 3/5
x = 30/3/5
x = 50 (Sorry if it's wrong)
Solve for x. Will mark brainliest for the correct answer.
Answer:
x= 100 degrees
Because the angles are vertical
Please hurry!!!!! Also urgent!!!!
Answer:
x=4
Step-by-step explanation:
20x+5+24x-1=180
44x=176
x=4
What is the value of 20+6•5/-2
Answer:
The answer is 25
Step-by-step explanation:
6•5=30
30+20=50
50/-2=25
I rlly need help and the operation bby plssssss help me
Answer:
∠ AFE = 35°
Step-by-step explanation:
∠ EFD = ∠ BFC = 55° ( vertically opposite angles )
Since BD is a straight line , then
∠ EFD + ∠ AFE + AFB = 180°, that is
55° + ∠ AFE + 90° = 180
∠ AFE + 145° = 180° ( subtract 145° from both sides )
∠ AFE = 35°
Which angle number is adjacent to angle to ZOKL?
Answer:
there aint no picture
Step-by-step explanation:
x+0.5y=1.5 solve for y
Answer:
Y = 3 - 2x
Step-by-step explanation:
The cylinder shown here has a height of 7 centimeters and a radius of 4 centimeters. What is the area of the base of the cylinder? Express your answer in terms of 1. Do not include units (cm2) in your answer. Use pi to represent the n symbol. For example: 321 would be typed as 32pi
Answer: 16pi
Step-by-step explanation:
Evaluate the following expression.
1/8^2 I NEED HELPPPP!!!!!!!!
Answer:
1/64
Step-by-step explanation:
X + 5x - 6 < 12 solve for inequality
Answer:
7
Step-by-step explanation:
x+5x<12
x+5x=12
12-5x
=7
7 divide by 1
=7
Question 1
Solve: 25.6 - 5y + 15. 3
Answer:
40.9 - 5y
Step-by-step explanation:
25.6 - 5y + 15.3
40.9 - 5y ## ^ combine like-terms
MMA-A unit 3 packet
5+4−6=24 plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
its false
Step-by-step explanation:
5+4-6=24
9-6=24
3=24 3 does not equal to 24 so its false