Answer:
see explanation
Step-by-step explanation:
- 4x + 3 < 23 ( subtract 3 from both sides )
- 4x < 20
x < - 5 ← Her error is on this step
When dividing by a negative quantity the symbol is reversed, that is
Divide both sides by - 4 and reversing the symbol gives
x > - 5
At a hockey game a vendor sold a combined total of 168 sodas and hotdogs. The number of sodas sold was two times the number of hotdogs sold. Find the number of sodas and the number of hotdogs sold.
Step-by-step explanation:
168/3 = 56
so 112 sodas
56 hotdogs
5у2х 1.5y
If you could do this asap ty
Answer:
[tex]2.5y^{3}x[/tex]
how many hours will it take me to get 777,777,777 cookies if i get 266,560 cookies per second
Answer:
approximately 43 - 44 minutes exact
Answer:
It would take you 2917 hours.
Step-by-step explanation:
Do 777,777,777 divided by 266,560.
2917 (with a a lot of other numbers).I hope this helped at all.
Some spiders, dragonflies, and houseflies are kept in three separate enclosures. They have a total of 20 heads, 136 legs, and 19 pairs of wings.
Given that...
a spider has 8 legs and 0 pairs of wings
a dragonfly has 6 legs and 2 pairs of wings
a housefly has 6 legs and 1 pair of wings
Find the number of spiders, the number of dragonflies, and the number of houseflies.
Answer:
Number of Spiders: 8
Number of Dragonflies: 7
Number of Houseflies: 5
Step-by-step explanation:
s= spider
d= dragonfly
h= housefly
Heads:
20= s+d+h
Legs:
136= 8s+6d+6h
Wings:
19= 0s+2d+1h
Solve with substitution.
Divide the second equation by 2.
136= 8s+6d+6h
68= 3d+3h+4s
Set the last equation in terms of d.
19= 0s+2d+1h
d= [tex]\frac{19}{2} -\frac{1}{2}h[/tex]
Substitute what we just found (d) into the first and our new second equation. Simplify.
20= s+d+h
20= s+[tex]\frac{19}{2} -\frac{1}{2}h[/tex]+h
h+2s=21
68= 3d+3h+4s
68= 3([tex]\frac{19}{2} -\frac{1}{2}h[/tex])+3h+4s
3h+8s=79
Take both simplified equations and solve with elimination. Do this by multiplying the top equation by negative 3.
h+2s=21
3h+8s=79
-3h-6s=-63
3h+8s=79
2s=16
s=8
Plug in s=8 into the other equation.
h+2s=21
h+2(8)=21
h=5
Plug in h=5 into the last equation we rewritten.
[tex]d= \frac{19}{2} -\frac{1}{2} h[/tex]
[tex]d=\frac{19}{2} -\frac{1}{2}(5)[/tex]
d=7
(d,h,s)= (7,5,8)
answer the question in the picture
Answer:
A and D
Step-by-step explanation:
Rational numbers that can be written as a fraction of two integers (without a denominator of 0).
The other three cannot be written as a fraction or two integers.
Several world-class swimmers have attempted. to swim the English Channel between France and Great Britain (570 km long). Since even the best swimmers can swim only about eight kilometers per hour, about how many hours would expect it to take an expert swimmers to swim the channel?
Answer:
4hours
um...
57×10-== 4 hours
help asap please
question is below
Step-by-step explanation:
only the second one fulfills the rule that every value of x must have exactly 1 assigned result value (y).
the first option has two different result values (3 and 5) for x = 1.
the third has 2 different result values (3 and 4) for x = 2.
the fourth has 2 different result values (2 and 4) for x = 2, and also 2 different result values (0 and 2) for x = 0.
WHAT IS THE VALUE OF Y IN THE EQUATION 2X + 4Y = 8, IF X =0?
Answer:
It must be two
Step-by-step explanation:
HELP HELP HELP HELP HELP HELP HELP HELP HELP
Answer:
y is 3,hmmmmmmmmmmmmmmm......aha! x= 46! hope this helps!
Step-by-step explanation:
What is the equation of the line that passes through the point (-6,-2)and has a slope of 1/6
Answer:
y = 1/6x -1
Step-by-step explanation:
Use point-slope form: y - y₁ = m (x - x₁)
y - (-2) = 1/6 (x - (-6))
y + 2 = 1/6x + 1
y = 1/6x - 1
Answer:
[tex]y=\frac{1}{6}x-1[/tex]
Step-by-step explanation:
According to,
y = mx + c
They have already given the slope of the line.
That means they've given value for m
So,
m = [tex]\frac{1}{6}[/tex]
And now we have to find the value of c ( the intercept on the y axis) using (-6,-2)
Here,
( -6 , -2 )
↑ ↑
( x , y )
Let us find the c now.
y = mx + c
[tex]-2 =\frac{1}{6} *-6+c\\-2=\frac{-6}{6} +c\\-2=-1+c\\-2+1=c\\-1=c[/tex]
Now let's write the equation of the line like this
y = mx+ c
[tex]y=\frac{1}{6}x-1[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
what is 3 square root of 64
Answer:
24
Step-by-step explanation:
Find the slope of the line that passes through (75, -83) and (-11, -85).
please I'm in soccer and our last game is Saturday I wont be able to play if I fail this report card so please answer as soon as possible. Please and Thank You.
Slope = (y₂ - y₁) ÷ (x₂ - x₁)
= (-85 - (-83)) ÷ (-11 - 75)
= -2 ÷ -86
= ¹/₄₃
Checking my answer:
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line. If the line passes through both of the points then we calculated the slope correctly.
⇒ y - (-83) = ¹/₄₃ (x - 75)
⇒ y + 83 = ¹/₄₃ (x - 75)
I have included a Desmos Graph that I graphed using the information equation (including the slope) and the points given.
Solve the inequality:
-h + 4 ≤ 6
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
( h ≥ -2 ).
Answer:
Refer to the attachment
Given: x + 2 < -5.
Choose the solution set.
{x | x R, x < -3}
{x | x R, x < 3}
{x | x R, x < -7}
{x | x R, x < 7}
Answer:
x < -7
Step-by-step explanation:
Subtract 2 on both sides to get x < -7.
Hope this helps :)
If the tires of a car have a diameter of 24 in., how many miles will the car travel when the tires make 16,000 revolutions
4. Given the following equation, find the following: 3x – 2y = 12
A. x-intercept
B. y-intercept
C. Slope
Answer:
[tex] \sqrt[6]{729} [/tex]
I need help with this
10. Triangle JKL is shown. Based on the information in the diagram, what is the measure of ZJKL? (G6D)
Answer:
Angle K = 70degrees
Angle L = 68degrees
Step-by-step explanation:
Angle in a triangle add up to 180degrees
Figure out triangle the small triangle to the left side of the paper.
42+68+x=180
110+x=180
X=70
Angle K = 70degrees
Knowing that figure for angle L
70+42+x=180
112+x=180
X=68
Angle L = 68degrees
Which quadrilateral has the highest order of rotational symmetry?
Answer:
it should be C
Step-by-step explanation:
hope this is helpful
Solve for the unknown side of each right triangle
Answer:
x = 4.4 cm
Step-by-step explanation:
Since this is a right triangle, the Pythagorean Theorem applies: a^2 + b^2 = c^2, where a and b are leg lengths and c is the length of the hypotenuse.
Thus, (5.3 m)^2 + x^2 = (6.9 m)^2, or, solving for x^2:
x^2 = (6.9 m)^2 - (5.3 m)^2, or
x^2 = 47.61 - 28.09 = 19.52
Then the length, x, of the unknown side is x = +√19.52 m, or
x = 4.4 cm
CAN ANYONE SAY WHAT IS 1 + 1 PLZ FAST FAST PLZ
Answer:
1+1???????? 1+1=2. :/
how do we do thisss
3^-2 × 3^x = 81
Answer:
x = 6
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex] , then
[tex]3^{-2}[/tex] × [tex]3^{x}[/tex] = 81 , that is
[tex]3^{x-2}[/tex] = [tex]3^{4}[/tex]
Since the bases on both sides are equal, both 3 then equate the exponents
x - 2 = 4 ( add 2 to both sides )
x = 6
What is the quotient of 9198 and 14?
Answer:
656.36
Step-by-step explanation:
you just divide then have to round the decimal point to 36
what is the quotient of -2/15÷ 1/4
Answer: -8/15
Step-by-step explanation:
-(2/15)/(1/4)
-[(2/15)/(1/4)]*(4/4)
= (-2/15)*(4/1)
= -8/15
David was thinking of a number. David doubles it, then adds 3 to get an answer of 81. 6. What was the original number?.
Answer:
The answer is 39.3
Step-by-step explanation:
81.6 - 3 = 78.6
78.6 ÷ 2 = 39.3
Tute Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating. 15% tip on a bill of $53.67 The amount of the tip is approximately $ Submit
Answer:
$68.53. 67%
Step-by-step explanation:
$68. 58 I think I'm not sure
6-2/3(x+5)=4x solve for x
Answer:
3x^2+15x-1=0
Step-by-step explanation:
4/(3x+15)=4x
4=12x^2+60x
12x^2+60x-4=0
3x^2+15x-1=0
Please solve after that, I cannot do everything for you
Use point-slope form to write the equation of a line that passes through the point
(-3, -16) with slope -
1/2
Answer:
Step-by-step explanation:
Point slope form: y - y1 = m(x -x1)
[tex]y - [-16] = \dfrac{1}{2}(x - [-3] )\\\\y + 16 = \dfrac{1}{2}(x + 3)\\\\\\y + 16 = \dfrac{1}{2}x + \dfrac{3}{2}\\\\y =\dfrac{1}{2}x+\dfrac{3}{2}-16\\\\y=\dfrac{1}{2}x +\dfrac{3}{2}-\dfrac{32}{2}\\\\\\y=\dfrac{1}{2}x - \dfrac{29}{2}[/tex]
Answer:
[tex]y= -\frac12 x +\frac{29}2[/tex]
Step-by-step explanation:
Let's start with the point- slope form:
[tex]y-y_0=m(x-x_0)[/tex]
and replace the values we have
[tex]y-(-16) = -\frac12 (x-(-3))[/tex]
We're almost there, we just need to write it in a better looking form.
[tex]y+16= -\frac12 (x+3)\\y=-\frac12 x - \frac32 + \frac{32}2\\y= -\frac12 x +\frac{29}2[/tex]
What are the coordinates of the vertex for the function shown below ?
Answer:
Step-by-step explanation:
We can answer this in two ways: Differentiation and Graphing.
Differentitate:
The first derivative of a function yields a function that provides the slope for any point on the line of the original function. The slope of a vertex is zero, so we can set the first derivative to 0 and solve for x.
f(x) = 3(x-1)^2 + 4
f(x) = 3(x-1)(x-1) + 4
f(x) = 3(x^2 - 2x + 1) + 4
f(x) = 3x^2 - 6x + 7
f'(x) = 6x -6
Set this = 0 and find x:
0 = 6x -6
x = 1
The value of y when x=1 in the original equation is:
f(1) = 3(1-1)^2 + 4
y = 4
The vertex is (1,4)
Graph:
You can use DESMOS to plot the function. The result is attached. Look for the vertex and read the coordinates. (1,4) seems to work.
Write each number without exponent 6.453 x 10^-3
Answer:
.006453
Step-by-step explanation:
6.453 x 10^-3
Move the decimal 3 places to the left since the exponent is negative
006.453
.006453