Answer:
140 pounds
Step-by-step explanation:
let s == small box
m = medium box
= large box
the following 3 equations can be derived from the question
s + m = 20 equation 1
m + l = 28 equation 2
l + s = 24 equation 3
make m the subject of the formula in equation 1 and 2
m = 20 - s equation 4
m = 28 - l equation 5
equate equation 4 and 5
20 - s = 28 - l
l - s = 8 equation 6
solve equation 3 and 6 using simultaneous equation
l + s = 24 equation 3
l - s = 8 equation 6
subtract equation 6 from 3
2s = 16
s = 8
substitute for s in equation 1
8 + m = 20
m = 12
substitute for m in equation 2
12 + l = 28
l = 16
total weight = (4 x 8) + (5 x 12) + (16 x 3) = 140 pounds
If two sides in a triangle are congruent, the angles opposite the congruent sides are congruent angles.
True or False
Please make an answer and give brainliest and more points to 100 need it please!
Thank you
Answer:
True
Step-by-step explanation:
Two triangles are congruent if they satisfy any of the following:
Two sides and the included angle of one triangle equal to the corresponding parts of the other one.
Two angles and the included side of one triangle equal to the corresponding parts of the other one.
All three sides of one triangle equal to the corresponding parts of the other one.
They are right triangles, and hypotenuse and one leg of one triangle equal to the corresponding parts of the other one.
They are right triangles, and hypotenuse and one acute angle of one triangle equal to the corresponding parts of the other one.
Therefore, the answer is true.
Nice Question
Answer To It is TrueReason:- According To Isosceles Triangle Theorem:-
If two angles of a triangle are congruent, then sides opposite those angles are congruent.Hope This Helps You ❤️k heres the actual question
Answer:
It's most likely spposed to be 22
Step-by-step explanation:
Answer: 91.65
Part 1: You will need to find the average by adding 108, 72, and 95. This will give you 275. Now you divide the sum by the amount of numbers there are which is 3 numbers. 275/3 would be 91.6
Part 2: Now that you have all four numbers you should repeat the process, 108 + 72 + 95 + 91.6 which is 366.6 now divide by four, and you have 91.65.
Let me know if this was correct!
Find the surface area of the
triangular prism.
8 m
6 m
7 m.
10 m
[?] sq m.
ntar
Answer:
216
Step-by-step explanation:
The triangular prism given here is consisting of two triangles and three rectangles
So the area of the triangular prism = area of the two triangles and the area of the three rectangles
= Surface Area ₚᵣᵢₛₘ =[2 ×1/2×8×6] m²+[3×7×10]m²
= (48+210)m²
= 258m² (ans)
2. Given: g(x) = x2
What is g(4) = ?
4
0
16
49
Answer:
16
Step-by-step explanation:
Simply plug 4 into g(x)
g(x) = x^2
g(4) = (4)^2 = 16
PLEASE HELP
Cal uses the equation y = 2.92
+ 2.4 to model his data. Use this equation to make the
following predictions.
Enter a number in each space provided
After 25 weeks, Cal will have saved a total of $____
The least number of whole weeks Cal must save to have a total of $100 saved is ____
Answer:
(a) $62.92 saved in 25 weeks
(b) 41 weeks to save $100
Step-by-step explanation:
Given
[tex]y = 2.92 + 2.4x[/tex]
[tex]x \to weeks[/tex]
[tex]y \to savings[/tex]
Solving (a): Savings in 25 weeks.
This means that: x = 25
So:
[tex]y = 2.92 + 2.4x[/tex]
[tex]y = 2.92 + 2.4 * 25[/tex]
[tex]y = 2.92 + 60[/tex]
[tex]y = 62.92[/tex]
Solving (b): Whole weeks to save $100
This means that x = 100
So:
[tex]y = 2.92 + 2.4x[/tex]
[tex]100 = 2.92 + 2.4x[/tex]
Collect like terms
[tex]2.4x = 100 - 2.92[/tex]
[tex]2.4x = 97.08[/tex]
Solve for x
[tex]x = 97.08/2.4[/tex]
[tex]x = 40.45[/tex]
Round up
[tex]x = 41[/tex]
A rock climber is standing at the edge of a cliff looking down into a valley and sees a lion laying 120 feet from
the base of the cliff. The angle of depression of the rock climber to the lion is 35º. How high is the cliff in feet?
Need help only on 12
Answer:
y = 3
Step-by-step explanation:
4 (1/2) + y = 10 (1/2)
2 + y = 5
-2 -2
y = 3
A quantity with an initial value of 7200 decays exponentially at a rate of 0.3% every
day. What is the value of the quantity after 10 weeks, to the nearest hundredth?
Answer:5834.36 You're welcome
Answer:5834.36
Step-by-step explanation:
What is the value of 3n +1 when n = 4?
A. 12
B. 13
C. 7
D. 8
Answer:
B. 13
Step-by-step explanation:
3(4) + 1 = 13
Answer:
13
Step-by-step explanation:
3n=3x4=12
12+1=13
Help me - prime factorization of 136
Answer:
136 = 2³ x 17.
Step-by-step explanation: Factors of 136: 1, 2, 4, 8, 17, 34, 68, 136. Prime factorization: 136 = 2 x 2 x 2 x 17, which can also be written 136 = 2³ x 17.
What is the value of x?
Answer:
141°
Step-by-step explanation:
The sum of the internal angles can be calculated using the following formula:
(number of sides - 2) x 180°
This polygon has 7 sides, so (7 - 2) x 180° = 900° total internal angle.
Subtract the other given angles from 900°.
(900 - 131 - 122 - 125 - 148 - 107 - 126)° = 141°
Answer:
x equals 141°
Step-by-step explanation:
The sum of interior angles of this figure is 900°. This was found using the formula (n-2) x 180 where 'n' means number of sides. This figure has 7 sides. So the sum of interior angles would be:-
(7 - 2) x 180°
5 x 180°
= 900°
All the given angles + x gives 900°.
So, to find 'x' we can do the following:-
148° + 125° + 122° + 131° + x° + 126° + 107° = 900°
759 + x = 900
x = 900 - 759
x = 141°
The equation of the line of best fit is y=3x+2. x=the number of ice cream sales and y= the number of days. Answer the following questions.
Show your work as proof.
a. How many days did it take, if the number of ice cream sales is $40?
b. How much ice cream was sold on the eight day?
Answer:
all I know is how to get y but y=122
Step-by-step explanation:
y=3(40)+2
y=120+2
y=122
sorry but I dont know what to do for x
Which function is continous across its domain? Pls help
Answer:
Step-by-step explanation:
A function f is continuous on its domain D if f is continuous at every point c∈D. Example 1. The function f(x)=ex (with domain R) is continuous on its domain.
Find the area of the shaded region.
00
please help!! i will mark brainliest, no links please!!
Answer:
180 i think
hope it helped
Answer:
area = 118.04 units²
Step-by-step explanation:
area of circle = πr² = (3.14159)(8²) = 201.06 units²
area of triangle:
corner angle - 60°/2 = 30°
sin 30° = m/8, m = 4
height of triangle = 4 + 8 = 12
cos 30° = n/8, n = 6.93, n = 1/2 base
base of triangle = 13.86
area of triangle = 1/2bh = 1/2(13.86)(12) = 83.02 units²
area of shaded portion = 201.06 - 83.02 = 118.04 units²
The point B(-6, -2) is rotated 90° counterclockwise
coordinates of the resulting point, B'?
Answer:
(2, -6)
Step-by-step explanation:
Draw a picture woth a point at (-6, -2)
the rotate it.
30 in.
10 in.
10 in.
30 in
20 in
Find the area of the arrow above.
square inches
Answer:
1100 Inches Squared
Step-by-step explanation:
Let the triangle on the top right be - (i)
Let the triangle on the top left be - (ii)
Let the bottom rectangle be - (iii)
1) The base of the triangle (i) = 10 + (20/2) (It is the base of the rectangle halfed + the given amount of half base of the triangle)
=> 10 + 10
=> 20 in
Base = 20 in
Height = 30 in
Area = 1/2 * 20 * 30
=> 10 * 30
=> 300 in
Triangle (i) = (ii)
So, the area of triangle (ii)
=> 300 in
Area of rectangle,
Length * Breadth
=> 20 * 30
=> 500 in
Total arrow's area = 300 + 300 + 500 (i + ii + iii)
=> 1100
Therefore the total area of the shape = 1100 in squared.
Hope it helps :)
Kevin works at an electronics store. He is paid $500 every week plus a 4% commission on anything he sells. Select TWO statements about Kevin's weekly paycheck that are true.
A Kevin's paycheck is for $600 when he sells $250 of merchandise in a week.
B Kevin's paycheck is for $620 when he sells $600 of merchandise in a week.
C Kevin's paycheck is for $620 when he sells $3,000 of merchandise in a week.
D Kevin's paycheck is for $820 when he sells $800 of merchandise in a week.
E Kevin's paycheck is for $900 when he sells $10,000 of merchandise in a week.
F Kevin's paycheck is for $1,000 when he sells $1,250 of merchandise in a week.
Answer:
b) (d
Step-by-step explanation:
no words
drag each expression to show whether it is equivalent to 3 time times 9 or to 2x3x9
Answer:
The answers to your questions are given below
Step-by-step explanation:
A. 3 × 9 = 27
B. 2 × 3 × 9 = 54
Next, we shall determine which option will give the same result obtained above.
9 × 3 = 27
9 × 3 × 2 = 54
3 × (4 + 5) = 3 × 9 = 27
(2 × 3) × 9 = 6 × 9 = 54
Therefore,
3 × 9 = 27
9 × 3 = 27
3 × (4 + 5) = 27
2 × 3 × 9 = 54
9 × 3 × 2 = 54
(2 × 3) × 9 = 54
SUMMARY
3 × 9 >>>>>>>>> 2 × 3 × 9
9 × 3 >>>>>>>>> 9 × 3 × 2
3 × (4 + 5) >>>>> (2 × 3) × 9
Please HELP if you can!
A sample of automobile dealerships found that 19% of automobiles sold are silver. If two cars are randomly selected, what is the probability that the color of the first car is silver and the color of the second car is also siver?
A. 0.361
B. 0.0361
C. 0.380
D. 0.190
Answer:
C 0.0361
Step-by-step explanation:
The probability that the color of the first car is silver and the color of the second car is also siver is 0.0361.
Given that,
A sample of automobile dealerships found that 19% of automobiles sold are silver.The color of the first car is silver and the color of the second car is also siver.
Based on the above information, the calculation is as follows:
[tex]= 0.19\times 0.19[/tex]
= 0.0361
Learn more: brainly.com/question/17429689
Find the slope… and can u explain how u got it.. mark brainliest:)
Answer:
slope is (1,1) (0,3) just count number of squares, if there was an equation involved use y=mx+b
Step-by-step explanation:
What is the correct answer?
Ok here is the question I need it answered fast I'll give brainliest!
1. Find mYX.
50 points if answer.
Answer:
m<YX=60° is a required answer
Answer:
m<YX=60° is a required answer
Step-by-step explanation:
How many different sandwiches can be made from the following options?
4 types of bread
3 types of cheese
6 types of meat
a: 13
b: 72
C: 42
Answer:
72
Step-by-step explanation:
By using the fundamental counting principle, we can do 4 x 3 x 6 = 72 to find how many different sandwiches can be made.
Which equation represents a parabola opening to the right with a vertex at the origin and focus at (9,0) A. X = - 1/36y^2 B. X = - 1/6y^2 C. X = 1/36y^2 D. X = 1/6y^2
Answer:
Option C: x = (1/36)*y^2
Step-by-step explanation:
A horizontal parabola is written as
x = f(y) = a*y^2 + b*y + c
If a is positive, the parabola opens to the right.
if a is negative, the parabola opens to the left.
And the vertex of the parabola has the y-value:
y = -b/2a
and the x value
x = f(-b/2a)
For our parabola, we know that:
Opens to the right:
Then the only options left are:
C) x = (1/36)*y^2
D) x = (1/6)*y^2
Because in both cases b = 0, both of the equations have the vertex in the point (0, 0).
Now let's see wich one has a focus at (9, 0)
If the vertex of our equation is:
(h, k)
Then the focus will be:
(h + a, k)
Where a is the directrix of the equation.
Here we know that the vertex is (0, 0) and the focus is (9, 0)
Then:
(0 + a, 0) = (9, 0)
The directrix is 9.
And the directrix is such that:
(x - h)^2 = 4*a*(y - k)
Replacing the values of h and k (both are zero) we get:
x^2 = 4*a*y
And we know that: a = 9
x^2 = 4*9*y
x^2 = 36*y
if we isolate y, we get:
(1/36)*x^2 = y
This is option C.
Then the correct option is C.
cos x = 4/5, cos y = 24/25, find tan(x+y)
Answer:
1 19/25
Step-by-step explanation:
4
5
+
24
25
=
4 × 5
5 × 5
+
24
25
=
20
25
+
24
25
=
20 + 24
25
=
44
25
=
1 19
25
A gym owner has some purple weights and some white weights. The purple weights are 10 kilograms each, and the white weights are 6 kilograms each. The owner has 12 weights, and they weigh 84 kilograms in all. How many of each colour weight does he have?
Answer: [tex]3,9[/tex]
Step-by-step explanation:
Given
A gym owner has purple and white weights that measure 10 kg and 6 kg each
respectively.
They weigh 84 kg in total
suppose there x purple and y white weights
[tex]\therefore x+y=12\quad \ldots(i)\\\Rightarrow 10x+6y=84\quad \ldots(ii)\\\\\text{Solving }(i)\ \text{and }(ii)\\\\[/tex]
[tex]x=3,\ y=9[/tex]
Thus, there are 3 purple and 9 white weights.
A motorcycle can go 50 miles on 1 gallon of gas. How many gallons will be used to go 150 km? I mile is about 1.6 km. Round to the nearest gallon.
Answer:
1.875 gallons
Step-by-step explanation:
Data
distance = 50 mi
volume of gas = 1 gal
volume for 150 km = ?
Process
1.- Convert 50 mi into kilometers
1 mile ------------------- 1.6 km
x ------------------ 150 km
x = (150 x 1)/1.6
x = 93.75 mi
2.- Calculate the gallons wasted
1 gallon ----------------- 50 mi
x ---------------- 93.75 mi
x = (93.75 x 1)/50
x = 93.75/50
x = 1.875 gallons
PLZZZ HELP FAST
what is the value of y
[tex]y ^3 = 5[/tex]
Answer: y= [tex]\sqrt[3]{5}[/tex]
Step-by-step explanation:
(NEED DONE SOON) The measure of two supplementary angles are 4x - 24 and 4(2x - 3).
What is x
Answer:
X=18
Step-by-step explanation:
since angles are supplementary that means their sum is 180
[tex]4x - 24 + 4(2x - 3) = 180 \\ 4x - 24 + 8x - 12 = 180 \\ 12x - 36 = 180 \\ 12x = 216 \\ x = 18[/tex]