Answer:
440
Step-by-step explanation:
To do this problem, you have to follow the PEMDAS order.
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
We have to do 5x62 first, which is 310. Next, we multiply 6 and 33, which gets us 198. Then, we add 310 to 198, which is 508. Finally, we subtract 68 from 508 to get 440.
Hope this helps!
Have a wonderful day! :D
giving brainliest. this is easy! :)
Answer:
for every 2 girls, there is one boy so 1/2 which i 50%
Step-by-step explanation:
Answer
try
Step-by-step explanation:
Both rates and ratios are a comparison of two numbers. ... The difference is that a rate is a comparison of two numbers with different units, whereas a ratio compares two numbers with the same unit. For example, in a room full of students, there are 10 boys and 5 girls. This means the ratio of boys to girls is 10:5.
The table shows pizza prices at Papi's Pizzeria.
Pizza Size Price
small $9.99
medium $11.99
large $13.99
On Saturday, Papi's sold 39 small pizzas, 62 medium pizzas, and 83 large pizzas.
Which equation represents the total amount of money Papi's made selling pizzas on Saturday?
A.
(
39
+
62
+
83
)
×
(
$
9
.
99
+
$
11
.
99
+
$
13
.
99
)
=
$
6
,
618
.
48
B.
(
$
9
.
99
×
39
)
+
(
$
11
.
99
×
62
)
+
(
$
13
.
99
×
83
)
=
$
2
,
294
.
16
C.
(
39
×
62
×
83
)
÷
(
$
9
.
99
+
$
11
.
99
+
$
13
.
99
)
=
$
5
,
579
.
48
D.
1
3
(
$
9
.
99
+
$
11
.
99
+
$
13
.
99
)
×
(
39
+
62
+
83
)
=
$
2
,
206
.
16
The equation that represents the total amount of money Papi's made selling pizzas on Saturday is (39 x $9.99) + (62 x $11.99) + (83 x $13.99)
Equation:
An equation is the mathematical statement which is made up of two expressions connected by an equal sign.
For example, 3x – 2 = 16 is an equation.
Given,
There are three types of pizza varieties are small, medium and large. And the price of them are $9.99, $11.99 and $13.99 respectively.
On Saturday, Papi's sold 39 small pizzas, 62 medium pizzas, and 83 large pizzas.
So, we have to write the equation for the total amount of money Papi's made selling pizzas on Saturday.
To calculate the price of the pizza we have to multiply it by the number of items sold by the cost.
So, the equation to calculate the cost of pizza,
=> number of items sold x cost.
Here we have to write the equation for three types and we have to find the total cost for it,
So, the equation is looks like,
=> (39 x $9.99) + (62 x $11.99) + (83 x $13.99)
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I need a answer fast thanks!
Answer:
Chart:
x y
-6 11
3 5
15 -3
-12 15
Step-by-step explanation:
The only things you can plug in are the domain {-12, -6, 3, 15}
Plug in the domain into equation to find y.
-6 :
y = -2/3 (-6) +7
y = +47
y=11
(-6,11)
3:
y = -2/3 (3) +7
y = -2 +7
y = 5
(3, 5)
15:
y = -2/3 (15) +7
y = -10 +7
y = -3
(15 , -3)
-12:
y = -2/3 (-12) +7
y = 8 + 7
y= 15
(-12,15)
Answer:
1) 11
2) 3
3) -3
4) -12
Step-by-step explanation:
eq(1):
\(y = \frac{-2}{3} x + 7\\\\y - 7 = \frac{-2}{3} x\\\\x = (y - 7)\frac{-3}{2} \\\\x = (7-y)\frac{3}{2} ---eq(2)\)
1) x = -6
sub in eq(1)
\(y = \frac{-2}{3} (-6) + 7\\\\y = \frac{12}{3} + 7\\\\y = 4+7\\\\y = 11\)
2) y = 5
sub in eq(2)
\(x = (7-5)\frac{3}{2} \\\\x = 3\)
3) x = 15
sub in eq(1)
\(y = \frac{-2}{3} 15 + 7\\\\y = \frac{-30}{3} +7\\\\y = -10 + 7\\\\y = -3\)
4)
sub in eq(2)
\(x = (7-15)\frac{3}{2} \\\\x = -8\frac{3}{2}\\ \\x = -12\)
What is the y intercept of f(x) =2(0.5)^x
The y-intercept of the function f(x) = 2(0.5)^x is 2. This means that the graph of the function intersects the y-axis at the point (0, 2).
To find the y-intercept of the function f(x) = 2(0.5)^x, we need to determine the value of f(x) when x is equal to 0.
Let's substitute x = 0 into the equation:
f(0) = 2(0.5)^0
Since any number raised to the power of 0 is equal to 1, we have:
f(0) = 2(1)
Simplifying further, we get:
f(0) = 2
Therefore, the y-intercept of the function f(x) = 2(0.5)^x is 2. This means that the graph of the function intersects the y-axis at the point (0, 2).
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Last month, a store sold 110 video games. This month, the store sold 77 video games. Find the percent decrease. Round the nearest percent
A 33%
B 70%
C 30%
D 43%
Answer:
c. 30%
Step-by-step explanation:
d-c-e=17. what is c?
The value of the variable c in the given expression is; c = d - e - 17
How to find the subject of a formula?We are given the expression;
d - c - e = 17
The subject of a formula is the variable that is being worked out. It can be recognized as the letter on its own on one side of the equals sign. For example, in the formula for the area of a rectangle A = b h ( area = base × height ), the subject of the formula is A.
Now, to find c, we have to isolate it. Thus;
Add c to both sides to get;
d - e = 17 + c
Subtract 17 from both sides to get;
d - e - 17 = c
Thus, the value of the variable c in the given expression is; c = d - e - 17
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Integrate the ODE
dy/dx = x² √y, 0 < x < 2, y(0) = 1
using Euler's method (Δx = 0, 2) to compute y(2). Obtain analytical solution to the ODE and compare y(2) obtained using Euler's method with that obtained analytically.
we find that the numerical approximation using Euler's method gives y(2) ≈ 1.865, while the analytical solution gives y(2) = 2.5.
Using the formula y(n+1) = y(n) + Δx * f(x(n), y(n)), where f(x, y) = x² √y, we can calculate the values of y at each step. Here's the step-by-step calculation:
Step 1: For x = 0, y = 1 (initial condition).
Step 2: For x = 0.2, y = 1 + 0.2 * (0.2)² * √1 = 1.008.
Step 3: For x = 0.4, y = 1.008 + 0.2 * (0.4)² * √1.008 = 1.024.
Step 4: For x = 0.6, y = 1.024 + 0.2 * (0.6)² * √1.024 = 1.052.
Step 5: For x = 0.8, y = 1.052 + 0.2 * (0.8)² * √1.052 = 1.094.
Step 6: For x = 1.0, y = 1.094 + 0.2 * (1.0)² * √1.094 = 1.155.
Step 7: For x = 1.2, y = 1.155 + 0.2 * (1.2)² * √1.155 = 1.238.
Step 8: For x = 1.4, y = 1.238 + 0.2 * (1.4)² * √1.238 = 1.346.
Step 9: For x = 1.6, y = 1.346 + 0.2 * (1.6)² * √1.346 = 1.483.
Step 10: For x = 1.8, y = 1.483 + 0.2 * (1.8)² * √1.483 = 1.654.
Step 11: For x = 2.0, y = 1.654 + 0.2 * (2.0)² * √1.654 = 1.865.
Therefore, using Euler's method with a step size of Δx = 0.2, we approximate y(2) to be 1.865.
To obtain the analytical solution to the ODE, we can separate variables and integrate both sides:
∫(1/√y) dy = ∫x² dx
Integrating both sides gives:
2√y = (1/3)x³ + C
Solving for y:
y = (1/4)(x³ + C)²
Using the initial condition y(0) = 1, we can substitute x = 0 and y = 1 to find the value of C:
1 = (1/4)(0³ + C)²
1 = (1/4)C²
4 = C²
C = ±2
Since C can be either 2 or -2, the general solution to the ODE is:
y = (1/4)(x³ + 2)² or y = (1/4)(x³ - 2)²
Now, let's evaluate y(2) using the analytical solution:
y(2) = (1/4)(2³ + 2)² = (1/4)(8 + 2)² = (1/4)(10)² = 2.5
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Which is equivalent to 2^5?
Answer:
Are there certain options?
Step-by-step explanation:
2^5 is in other words 2x2x2x2x2
the answer to this is 32
Hope I helped?
Answer:
32
Step-by-step explanation:
What percent of 17 is 85?
I'm not sure if 85 is a whole number or a percentage...
Answer: 85 is 500% of 17
Step-by-step explanation:
The question means what percent is 85 of 17
= 85/17×100
= 8500/17
= 500%
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The diagram shows an open rectangular box ABCDEFGH.
A straight stick AGM rests against A and G and extends outside the box to M.
a. Calculate the angle between the stick and the base of the box.
b. AM= 30 cm.
Show that GM= 4.8 cm, correct
to 1 decimal place.
The angle between the stick and the base of the box is 77. 9 degrees
How to determine the angleTo determine the angle between the stick and the base, we have to know the trigonometric identities.
These identities are;
sinecosinecotangenttangentsecantcosecantFrom the information given, we have;
sin A = FB/AB
Given that;
GB = 14.5cm
AB = 18. 6cm
substitute for the length of the sides, we have;
sin A = 14.5/18. 6
Divide the values, we have;
sin A = 0. 7796
Find the inverse sine
A = 77. 9 degrees
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Can someone please help?? This is sooooo hard!!!
Answer:
Step-by-step explanation:
1) \(\overline{AC}\) bisects \(\overline{BD}\) and \(\overline{BC} \parallel \overline{AD}\) (given)
2) \(\overline{AE} \cong \overline{EC}\) (a bisector splits a segment into two congruent parts)
3) \(\angle BCE \cong \angle EAD\) (if two parallel lines are cut by a transversal, the alternate interior angles are congruent)
4) \(\angle CBE \cong \angle EDA\) (if two parallel lines are cut by a transversal, the alternate interior angles are congruent)
5) \(\triangle BEC \cong \triangle DEA\) (AAS)
The line plot below shows the amount of water ( in gallons) students drank in a week. What is the difference in the lowest amount of water and the highest amount of water students drank
The difference in the lowest amount of water and the highest amount of water students drank is 1/2
How to determine the difference?From the complete question (see attachment for line plot), we have:
Least = 1/8
Highest = 5/8
The difference is then calculated as:
Difference = Highest - Least
This gives
Difference = 5/8 - 1/8
Evaluate
Difference = 4/8
Simplify
Difference = 1/2
Hence, the difference in the lowest amount of water and the highest amount of water students drank is 1/2
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Isaac used 1/3 of an ounce of almonds to make 1/12 of a pound of cake. How many ounces of almonds are needed to make a cake
Answer:
4 ounces
Step-by-step explanation:
1/3 x 12 = 4
(-1,4) and (1,-1) find the distance
Answer:
Step-by-step explanation:
Question content area top Part 1 A baby outfit uses 4/9 square yard of fabric for the hat and 1/9 square yard of fabric for the bib. A tailor has 4 4/9 square yards of fabric. How many baby outfits can make?
The tailor can make 8 outfits with 4 4/9 square yards of fabric
Ratios and proportionsGiven the following parameters;
A baby outfit uses 4/9 square yards of fabric for the hat and 1/9 square yards of fabric for the bib.
The total fabric used by a baby = 4/9 + 1/9The total fabric used by a baby = 5/9 square yardsA tailor has 4 4/9 square yards of fabric, then the total outfit the tailor can make is expressed as:
total outfit = 40/9 ÷ 5/9
total outfit = 40/5
total outfit = 8 outfits
Hence the tailor can make 8 outfits with 4 4/9 square yards of fabric
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What value of g makes the equation true?
0.25 (g+1.5) = 2
• -1
• 2
• 6.5
• 9.5
Answer:
g= 6.5
Step-by-step explanation:
O.25(g+1.5) = 2
(g+1.5) = 2/0.25 divide both sides with 0.25
g+1.5 = 8
g = 8-1.5
g = 6.5
please help me..!!!!!
Answer:
x + 7
Step-by-step explanation:
1+7=8
2+7+9
so on
If a1 = -9, and an = -6 an-1, list the first five terms of an: . {a1, a2, a3, a4, a5}
The first five terms of the sequence are {-9, 54, -324, 1944, -11664}.Hence, the first five terms of the sequence are {-9, 54, -324, 1944, -11664}.
Given that a1 = -9 and an = -6an-1 to find the first five terms of an: {a1, a2, a3, a4, a5}
We have to use the formula an = -6 an-1 to find the next terms.
The first term a1 is given to us. So, a1 = -9
We can use the formula an = -6an-1 to find the next term using a1= -9 an1 = -6 * a1 = -6 * (-9) = 54
Thus the first two terms of the sequence are {-9, 54}.
We can use the formula an = -6an-1 to find the third term an2 = -6 * an1= -6 * 54 = -324
Thus the first three terms of the sequence are {-9, 54, -324}.
We can use the formula an = -6an-1 to find the fourth term an3 = -6 * an2= -6 * (-324) = 1944
Thus the first four terms of the sequence are {-9, 54, -324, 1944}.
We can use the formula an = -6an-1 to find the fifth term an4 = -6 * an3= -6 * (1944) = -11664
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a bacteria population is 4000 at time and its rate of growth is bacteria per hour after hours. what is the population after one hour?
The population after one hour is 997.
Bacterial population:
The rate of exponential growth of a bacterial culture is expressed as generation time, also the doubling time of the bacterial population. Generation time (G) is defined as the time (t) per generation (n = number of generations).
Therefore the equation is:
G = t/n
Here we have to find the population after one hour.
It is given the rate as:
dP/ dt = 1000- 6t
The population after 1 hour if given by:
P = \(\int\limits^1_0 {1000- 6t} \, dt\)
So we have to use the differential.
P = \([1000 - 3t^{2} ]_{0}^{1}\)
= 997
Therefore 997 is the population.
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If the supplement of angle x is five times the complement of angle x, how many degrees are in the measure of angle x
Step-by-step explanation:
complement means together they have 90°.
supplement means together they have 180°.
180 - x = 5(90 - x) = 450 - 5x
4x = 270
x = 270/4 = 67.5°
Need some help, please explain your Answer! Thanks!
Unit rate
Total built/Total days spent8-1/4÷5-1/233/4÷11/233/4×2/113/21.5miles per dayAnswer:
1½ miles/day .
Step-by-step explanation:
To find:-
The rate at which the construction crew built thr road.Answer:-
It is given that the crew made 8¼ miles of road in 5½ days . To find the rate of work done , simply divide the total length of road nade by total time taken . That would be , ( rate is represented by "r" . )
\(:\implies \sf r = 8\dfrac{1}{4}\div 5\dfrac{1}{2} \ miles/day\\\)
Convert the mixed fraction into improper fraction.
\(:\implies \sf r = \dfrac{33}{4}\div \dfrac{11}{2} \ miles/day \\\)
For dividing them , multiply the reciprocal of 11/2 by 33/4 as ,
\(:\implies \sf r = \dfrac{33}{4}\times \dfrac{2}{11} \ miles/day\\\)
\(:\implies \sf r = \dfrac{3}{2} \ miles/day \\\)
\(:\implies \sf \pink{ r = 1\dfrac{1}{2}\ miles/day } \\\)
Hence the unit rate of constructing the road is 1½ miles/day .
Help please it is due in 10 min
will give brinly
Answer:
its H
Step-by-step explanation:
Answer:
0.04
Step-by-step explanation:
in python, math expressions are always evaluated from left to right, no matter what the operators are. True/False ?
what is the explicit rule for the nth term of the geometric sequence? 5, 20, 80, 320, 1,280, …
To determine the explicit rule for the nth term of the given geometric sequence 5, 20, 80, 320, 1,280, ..., use the formula:`an = a1 * r^(n - 1)`, where an represents the nth term of the sequence.`a1`represents the first term of the sequence.`r` represents the common ratio between terms of the sequence.
The given sequence is 5, 20, 80, 320, 1,280, ...Let's now apply the formula to find the explicit rule for the nth term of the given sequence.`an = a1 * r^(n - 1)`Where a1 = 5 (first term of the sequence)`r` can be found by dividing any term by the preceding term, as `r = (second term) / (first term)`In this case,`r = (20) / (5) = 4`
Substituting the values in the formula:`an = a1 * r^(n - 1)``an = 5 * 4^(n - 1)` Therefore, the explicit rule for the nth term of the given geometric sequence is `an = 5 * 4^(n - 1)`.You can use this formula to find the value of any term in the sequence, given its position (n) in the sequence.For example, to find the 150th term of the sequence, substitute n = 150 in the formula: `a150 = 5 * 4^(150 - 1)`. This simplifies to `a150 = 1.442 x 10^90`.
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The diagram below shows two wires carrying anti-parallel currents. Each wire carries 30 amps of current. The centers of the wires are 5 mm apart. Point P is 15 cm from the midpoint between the wires. Find the net magnetic field at point P, using the coordinate system shown and expressing your answer in 1, 1, k notation. 5mm mm = 10-³ cm=102m I₂ (out) P •midpan't betwem wires 1 X- I, (in)! (30A) 15cm →X Z(out)
The net magnetic field at point P is (6e-5 j + 0.57 k) T in 1, 1, k notation.
We can use the Biot-Savart Law to calculate the magnetic field at point P due to each wire, and then add the two contributions vectorially to obtain the net magnetic field.
The magnetic field due to a current-carrying wire can be calculated using the formula:
d = μ₀/4π * Id × /r³
where d is the magnetic field contribution at a point due to a small element of current Id, is the vector pointing from the element to the point, r is the distance between them, and μ₀ is the permeability of free space.
Let's first consider the wire carrying current I₁ (in the positive X direction). The contribution to the magnetic field at point P from an element d located at position y on the wire is:
d₁ = μ₀/4π * I₁ d × ₁ /r₁³
where ₁ is the vector pointing from the element to P, and r₁ is the distance between them. Since the wire is infinitely long, we can assume that it extends from -∞ to +∞ along the X axis, and integrate over its length to find the total magnetic field at P:
B₁ = ∫d₁ = μ₀/4π * I₁ ∫d × ₁ /r₁³
For the given setup, the integrals simplify as follows:
∫d = I₁ L, where L is the length of the wire per unit length
d × ₁ = L dy (y - 1/2 L) j - x i
r₁ = sqrt(x² + (y - 1/2 L)²)
Substituting these expressions into the integral and evaluating it, we get:
B₁ = μ₀/4π * I₁ L ∫[-∞,+∞] (L dy (y - 1/2 L) j - x i) / (x² + (y - 1/2 L)²)^(3/2)
This integral can be evaluated using the substitution u = y - 1/2 L, which transforms it into a standard form that can be looked up in a table or computed using software. The result is:
B₁ = μ₀ I₁ / 4πd * (j - 2z k)
where d = 5 mm = 5×10^-3 m is the distance between the wires, and z is the coordinate along the Z axis.
Similarly, for the wire carrying current I₂ (in the negative X direction), we have:
B₂ = μ₀ I₂ / 4πd * (-j - 2z k)
Therefore, the net magnetic field at point P is:
B = B₁ + B₂ = μ₀ / 4πd * (I₁ - I₂) j + 2μ₀I₁ / 4πd * z k
Substituting the given values, we obtain:
B = (2×10^-7 Tm/A) / (4π×5×10^-3 m) * (30A - (-30A)) j + 2(2×10^-7 Tm/A) × 30A / (4π×5×10^-3 m) * (15×10^-2 m) k
which simplifies to:
B = (6e-5 j + 0.57 k) T
Therefore, the net magnetic field at point P is (6e-5 j + 0.57 k) T in 1, 1, k notation.
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Which is the solution set of 7y +1> 8y- 9?
Answer:
y < 10 or (10, -∞)
Step-by-step explanation:
7y + 1 > 8y - 9
Simply get the y's on the right by subtracting 7y from both sides:
1 > y - 9
then adding 9 to both sides:
y < 10
or in interval notation:
(10, -∞)
HELP drag each set of coordinates to the correct location on the table not all sets of coordinates will be used
Answer:
im sorry but i tried to do it but too dumb
Step-by-step explanation:
4. jorge has $800 in his savings
account. he is looking at two savings plans. under plan a, he will increase his account balance by $200 per year. under flan b, he will increase his account balance by 15% each year.
a.) write an equation for the amount john will have with plan a
b.) write an equation john will have with plan b
With plan A and B John will save 2800 and 2000 $ respectively.
What are savings?Savings are the funds left over after subtracting a person's consumer spending from their disposable income during a certain time period. After all expenses and responsibilities have been met, savings signifies a net excess of funds for a person or household.
plan A formula is y = 800 + (200 * x)
plan B formula is y = 1500 * 15% * x
when x = 10, you get:
plan A = 2800
plan B = 2000
plan A has 800 dollars more than plan B.
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How do I find the answer
Answer:
x = 95 degrees
Step-by-step explanation:
First find the missing angle next to 142 (we will call it y)
y +142 = 180
subtract 142 from both sides
y = 38 degrees
then we know a triangle must have 180 degrees
so
47+38+x = 180
subtract 47 and 38 from 180
x = 95
hope this helps and makes sense :)
What adds to 10 but can multiply to 50
Answer:
5
Step-by-step explanation: