Answer:
$600 - $40 = $560
$560/ $25 = 22.4
this means he can have up to a total of 22 people at his party
Hot dogs are sold in packages of 8, and hot dog buns are sold in packages of 12. What is the smallest number of each that could be purchased so that the customer has the same number of hot dogs and buns? And i'm doing a lesson in school, so i need help with this and what is the answer to it in LCM?
Solve the literal equation for the given variable
n =4/5(m+7); m
Answer:
[tex]m = \frac{5n}{4} - 7[/tex]Step-by-step explanation:
[tex]n = \frac{4}{5} (m + 7)[/tex]First of all multiply both sides by 5
That's
[tex]5n = 5 \times \frac{4}{5} (m + 7) \\ 5n = 4(m + 7)[/tex]Next divide both sides by 4
That's
[tex]m + 7 = \frac{5n}{4} [/tex]
Subtract 7 from both sides to make m stand alone
We have
[tex]m + 7 - 7 = \frac{5n}{4} - 7[/tex]We have the final answer as
[tex]m = \frac{5n}{4} - 7[/tex]Hope this helps you
how to solve 10×1000/100
Please explain step by step
Answer:
first divide 1000 by 100 and then multipy the result with 10
Step-by-step explanation:
what is the square root of 169/196
Answer:
sqrt 169 is 13
sqrt 196 is 14
Step-by-step explanation:
The square root of the number in the fractional form [tex]\frac{169}{196}[/tex] is the number in fractional form [tex]\frac{13}{14}[/tex].
Given a number:
[tex]\frac{169}{196}[/tex]
It is required to find the square root of the number.
The square root of the fraction can be found by taking the square root of each component and dividing it.
That is:
[tex]\sqrt{\frac{x}{y} } =\frac{\sqrt{x} }{\sqrt{y} }[/tex]
Here, x = 169 and y = 196.
So, this can be written as:
[tex]\sqrt{\frac{169}{196} } =\frac{\sqrt{169} }{\sqrt{196} }[/tex]
[tex]=\frac{13}{14}[/tex]
Hence, the fraction is [tex]\frac{13}{14}[/tex].
Learn more about Fractions here :
https://brainly.com/question/12466813
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Help me please I’ll give you brainliest
Answer:
i think the answer is a
Step-by-step explanation:
[tex]\int\limits^e_1 {\frac{1}{x\sqrt{1-(logx)^{2} } } } \, dx[/tex]
For the integral
[tex]I=\displaystyle\int_1^3\frac{\mathrm dx}{x\sqrt{1-(\log x)^2}}[/tex]
(assuming [tex]\log x[/tex] is the natural logarithm with base [tex]e[/tex]) substitute [tex]u=\log x[/tex] and [tex]\mathrm du=\frac{\mathrm dx}x[/tex]. Then the integral is equivalent to
[tex]I=\displaystyle\int_{\log1}^{\log e}\frac{\mathrm du}{\sqrt{1-u^2}}=\int_0^1\frac{\mathrm du}{\sqrt{1-u^2}}[/tex]
Next, substitute [tex]u=\sin t[/tex] and [tex]\mathrm du=\cos t\,\mathrm dt[/tex]:
[tex]I=\displaystyle\int_{\sin^{-1}0}^{\sin^{-1}1}\frac{\cos t}{\sqrt{1-\sin^2t}}\,\mathrm dt=\int_0^{\frac\pi2}\frac{\cos t}{\sqrt{\cos^2t}}\,\mathrm dt[/tex]
We have [tex]\sqrt{x^2}=|x|[/tex] for all [tex]x[/tex], but in the given integration interval, [tex]\cos t\ge0[/tex], so
[tex]I=\displaystyle\int_0^{\frac\pi2}\frac{\cos t}{\cos t}\,\mathrm dt=\int_0^{\frac\pi2}\mathrm dt=\boxed{\dfrac\pi2}[/tex]
(Of course, with a little foresight, you could have immediately combined the two substitutions and started off with letting [tex]\sin u=\log x[/tex].)
Need help on this stastic prob question
Given: f(x) = 2x + 5 and g(x) = x2 and h(x) = -2x h(g(f(x))) = x² + x +
Answer:
[tex]\Large \boxed{h(g(f(x)))=-8x^2-40x-50}[/tex]
Step-by-step explanation:
[tex]f(x)=2x+5 \\\\ g(x)=x^2 \\\\h(x)=-2x[/tex]
[tex]h(g(f(x)))=-2((2x+5)^2)[/tex]
Expanding and solving for brackets.
[tex]h(g(f(x)))=-2(4x^2+20x+25)[/tex]
Distributing -2 to the terms in the brackets.
[tex]h(g(f(x)))=-8x^2-40x-50[/tex]
Answer:
-8x^2 - 40x - 50
Step-by-step explanation:
f(x) = 2x + 5
g(x) = x^2
h(x) = -2x
h(g(f(x))) =
First find g(f(x))
g(f(x)) = (2x+5) ^2 = 4x^2 + 10x + 10x +25
= 4x^2 + 20x + 25
The stick this in for g(f(x)
h(g(f(x))) = -2 (4x^2 + 20x + 25)
= -8x^2 - 40x - 50
A delivery truck company just bought a new delivery truck and they need to know the maximum volume it can carry. In the front of the truck, there is an extra ledge that sticks out over the driver's cab for extra storage space. What is the maximum amount of cargo that can fit into the new truck?
The image showing the dimensions of the truck in question is missing, so i have attached it.
Answer:
Max amount of cargo that can fit in new truck = 756.39 cu.ft
Step-by-step explanation:
From the diagram attached, we can see that the delivery truck is in the form of a cuboid.
So let's say we extend the perpendicular line from the start of the extra ledge that sticks out to the top of the truck.
This will mean that we have now divided the big truck into 2 different cuboids which we will call C1 and C2.
For C2, We can see that the height is 6' 6", width is 7' 8", length is 14' 3".
Converting the dimensions to inches, we know that, 1 ft = 12 inches
Thus;
6' 6" = (6 × 12) + 6 = 78"
7' 8" = (7 × 12) + 6 = 90"
14' 3" = (14 × 12) + 6 = 174"
Thus, volume of cuboid = Length x width x height
Thus, volume of cuboid 1 is;
V1 = 78 × 90 × 174 = 1221480 cu.inches
Looking at the smaller cuboid C1, the height is 2' 7" and the width remains 7' 8".
To get the length, we have; length = 16' 9" - 14' 3" = 2' 6"
So Converting these to inches gives;
7' 8" = (7 × 12) + 8 = 92"
2' 7" = (2 × 12) + 7 = 31"
2' 6" = (2 × 12) + 6 = 30"
Volume of cuboid 2 is;
V2 = 92 × 31 × 30 = 85560 cu.inches
Total volume = V1 + V2 = 1221480 + 85560 = 1307040 cu.inches
Now, converting cu.inches to cu.ft, we know that;
1 cu.inches = 1/1728 cu.ft
Thus;
1307040 cu.inches = 1307040 × 1/1728 = 756.39 cu.ft
If it takes Tanya 4.6 hours to get to her cousin's house while driving an average of 40 mph, how far away does her cousin live?
Solve the equation -7x - 9 = 19 x =?
Answer:-4
Step-by-step explanation:
-4 x -7 = 28
28-9=19
Answer:
x=-4
Step-by-step explanation:
We are given the equation:
-7x-9= 19
We want to solve for x. Therefore, we must isolate x on one side of the equation.
9 is being subtracted. The inverse of subtraction is addition. Add 9 to both sides of the equation.
-7x-9+9= 19+9
-7x= 28
x is being multiplied by -7. The inverse of multiplication is division. Divide -7 on both sides.
-7x/-7=28/-7
x= 28/-7
x= -4
Let’s check our solution. Plug -4 in for x and solve.
-7x-9=19
-7(-4)-9=19
28-9=19
19=19
This checks out, so we know our solution is correct.
The solution to the equation -7x-9=19 is x= -4
Help me plz
9.7 +-7.3=?
Answer:
2.4
Step-by-step explanation:
Answer:
2.4
Step-by-step explanation:
Since 7.3 is negative then 9.7+-7.3 is equal
9.7 - 7.3=2.4
x
B.
A
с
D
which points are coplanar and noncollinear ?
Answer:
step by step
Step-by-step explanation:
I dont understand ?? try to re write it
Which expression is equivalent to -2 1/4 divided by -2/3
Answer:
27/8 or 3 3/8, 3.375, (3/2)^3
Step-by-step explanation:
convert the mixed number to an improper fraction-9/4 divided by -2/3
dividing two negatives equals a positive; (-) + (-) = (+)9/4 divided by 2/3
to divide by a fraction, multiply by the reciprocal of the fraction( flip, keep, change )9/2 x 3/2
please help me once more! I only need the answer to D. The value of x is 10.
90+ POINTS PLEASE HELP Choose one problem below and use trigonometry to solve for a missing angle x of the right triangle
Answer:
[tex]x\approx49.3266\textdegree[/tex]
Step-by-step explanation:
So we want to find Angle x.
Note that we already know the side length of the side opposite to Angle x.
We also know that the hypotenuse is 56.3.
Therefore, we can use the sine function. Recall that:
[tex]\sin(x)=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]
The opposite side is 42.7. The hypotenuse is 56.3. Substitute:
[tex]\sin(x)=\frac{42.7}{56.3}[/tex]
Take the inverse sine of both sides.
[tex]\sin^{-1}(\sin(x))=\sin^{-1}(\frac{42.7}{56.3})[/tex]
The left side cancels:
[tex]x=\sin^{-1}(\frac{42.7}{56.3})[/tex]
Use a calculator. Thus:
[tex]x\approx49.3266\textdegree[/tex]
And that's our answer :)
Answer:
[tex]\Huge \boxed{\mathrm{49.33 \° }}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
The triangle is a right triangle.
We can use trig functions to solve for the missing angle.
[tex]\displaystyle \mathrm{sin \theta =\frac{opposite}{hypotenuse} }[/tex]
The opposite side to angle x is 42.7.
The hypotenuse of the right triangle is 56.3.
[tex]\displaystyle \mathrm{sin} (x)=\frac{42.7}{56.3}[/tex]
Taking inverse sin of both sides.
[tex]\displaystyle x=\mathrm{sin^{-1}}( \frac{42.7}{56.3})[/tex]
[tex]x= 49.3265955[/tex]
The missing angle measures approximately 49.33°.
[tex]\rule[225]{225}{2}[/tex]
Rachael bought a snorkel and ear plugs for shallow diving. The snorkel cost \$27.69 , and the ear plugs cost \$2.19 . The sales tax of both items was Rachael paid with 2 twenty-dollar bills. How much change did she receive?
Answer:
The answer is 10.12
Step-by-step explanation:
You add both numbers together and then subtract the sum to the 40 dollars
Solve for y. 6y=y+25
Answer:
6y =y+25
6y-y=25
5y=25
y=25/5
y=5
hope that helps: )
Answer:
y = 5
Step-by-step explanation:
[tex]6y=y+25[/tex]
Subtract y from both sides ;
[tex]6y-y=y+25-y[/tex]
Simplify ;
6y - y = 5y
y -y =0
[tex]5y=25[/tex]
Divide both sides by 5
[tex]\frac{5y}{5}=\frac{25}{5}[/tex]
Simplify
[tex]y =5[/tex]
Joey's lunch at a restaurant cost $13.00, without tax. He leaves the waiter a tip of 17% of the cost of the lunch, without tax. What is the total cost of the lunch, including the tip, without tax?
The density of a certain material is such that it weighs 6 pounds per pint of volume. Express this density in grams per liter. Round your answer to the nearest whole number.
Answer:
Density = 4779 grams per liter
Step-by-step explanation:
here we need to convert
pounds to gram
pint to liter
1 pound = 454 grams
1 pint = 0.57 liters
given
density = 6 pounds per pint
now using grams in place of pound and
liter in place of pint we have
density = 6 pounds per pint = 6*454 grams /0.57 liters
density = 2724 pounds/ 0.57 liters = 4778.94 grams / liters
Density when rounded to nearest whole number is 4779 grams / liters
-8(2z - 70)
use z = 5 and c = 2
Answer:
480
Step-by-step explanation:
So we have the expression:
[tex]-8(2z-70)[/tex]
And we want to evaluate it for z=5 and c=2:
So:
[tex]=-8(2(5)-70)[/tex]
Multiply within the parentheses:
[tex]=-8(10-70)[/tex]
Subtract within the parentheses:
[tex]=-8(-60)[/tex]
Multiply:
[tex]=480[/tex]
Answer:
480
Step-by-step explanation:
-8( 2(5) - 70)
-8 ( 10 - 70)
-80 + 560
480
URGENT!! 25 points. help on C please. this assignment is already late
Answer:
[tex]7+(11-4\times 2)=10[/tex]
Step-by-step explanation:
So, this question involves you to play around with the numbers and the operations a bit. I've come up with a solution, but perhaps there are others as well.
So, we have:
[tex]7\text{ } 11\text{ } 4\text{ } 2\text{ } =\text{ } 10[/tex]
So, what we can do is, for instance, multiply 4 and 2. Subtract that into 11. And then add the difference to 7. Thus:
[tex]7+(11-4\times 2)=10[/tex]
This is a true number sentence. Let's do it to make sure.
First, do the operations inside the parentheses.
Multiplication comes first, so multiply:
[tex]7+(11-8)=10[/tex]
Again, do the parentheses first. Subtract:
[tex]7+(3)=10[/tex]
Now add:
[tex]10=10[/tex]
So our answer is correct :)
(7,-5) and (2,3)
Find the slope of the two given points
k - 4.8=0.32 - 5.4k answer?
Answer:
k =4/5
Step-by-step explanation:
[tex]k - 4.8=0.32 - 5.4k\\\mathrm{Multiply\:both\:sides\:by\:}100\\k\times\:100-4.8\times\:100=0.32\times\:100-5.4k\times\:100\\\\Refine\\100k-480=32-540k\\\\Add\: 480\mathrm{\:to\:both\:sides}\\100k-480+480=32-540k+480\\\\Simplify\\100k=-540k+512\\\\\mathrm{Add\:}540k\mathrm{\:to\:both\:sides}\\100k+540k=-540k+512+540k\\\\Simplify\\640k=512\\\\\mathrm{Divide\:both\:sides\:by\:}640\\\frac{640k}{640}=\frac{512}{640}\\\\k=\frac{4}{5}[/tex]
solve for x : 3 ( x + 1 ) = 2 ( x - 1 )
Answer:
-5
3 ( -5 + 1 ) = 2 ( -5 - 1 ) = 0
They both equal negative 12
Pls answer this is due by tomorrow so I need help ASAP
5/6 = 0.83333... (Repeating)
2/11 = 0.181818... (Repeating)
17/20 = 0.85 (Terminating)
For the number system diagram, from smallest box to larges, it would be natural numbers, whole numbers, and integers, rational numbers, then real numbers. And irrational numbers off to the side, but considering you only have 3 boxes then put the first 3 I mentioned.
It is definetly possible for a number to be both whole and an integer. As long as it's not a fraction, decimal, or negative value.
Evaluate each expression if a = -1, b = -8, c = 5, and d = -1.4.
1. |6a|
2. |2b + 4|
3. -|10d +12|
4. |17c| + |3b-5|
Answer:
2
Step-by-step explanation:
During the summer, you charge people $8 per hour for babysitting and a $10 fee for traveling to their home. If you made $130 last weekend, how many hours did you spend babysitting?
Answer:
15
Step-by-step explanation:
lets make an equation and solve it (its easier)
130=8x+10
130-10=8x
120=8x
x=120/8=15 hours
Robot 1 is at Asteroid U. Calculate the distance between U (38,22) and W (55,30) to the nearest thousandths, then add a driveDistance block to drive the robot to Asteroid W.
Answer:
When we have two vectors:
A = (a1, a2)
B = (b1, b2)
The distance between these two vectors is:
D = √( (a1 - b1)^2 + (a2 - b2)^2)
In this case, the vectors are:
U = (38, 22) and W = (55, 30)
The distance between U and W is:
D = √( (38 - 55)^2 + (22 - 30)^2 )
D = √( 289 + 64) = √353 = 18.7882
We want to round it to the nearest thousandths (the third digit to the right of the decimal point).
Then we must look at the next one (the fourth)
if the fourth digit is 5 or smaller, we round down
if the fourth digit is larger than 5, we round up.
We can see that in 18.7882 the fourth digit after the decimal point is a 2, so we round down, then the distance between U and W is:
D = 18.788
Now i guess that you want a line that connects U with W so the robot can follow it,
To find the line you can use a linear relation:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
So we want a line that passes through the points U and W, the slope of this line will be:
a = (30 - 22)/(55 - 38) = 0.47
Then the equation is:
y = 0.47*x + b
to find the value of b, we know that this line passes through the point (38,22) then:
y = 22 = 0.47*38 + b
b = 22 - 0.37*38 = 7.94
The line that can use the robot to go from U to W is:
y = 0.47*x + 7.94
please answer. will give brainliest
Answer:
2
Step-by-step explanation:
thats the answer pls give brainliest.
Answer: OPTION B
Step-by-step explanation:
Angle 25° is in the interior of two lines so we are actually finding the alternative interior angles.
Alternate angles are angles that on opposite sides that locate on opposite relative sides of the other lines.
The only three labeled angle that are interior. Angle 25°, Angle 2, and Angle 3.
Angle 25° and Angle 3 are on opposite sides, but they are on the same relative side of the other lines, which does not fit the alternate angle definition.
Angle 25° and Angle 2 are on opposite sides and on the opposite relative side of the other lines, so Angle 2 is the alternate to Angle 25°
Hope this helps!! :)
Please let me know if you have any question