Answer:
Cost of 1 bushes = a = $9
Cost of 1 tree = b = $73.5
Step-by-step explanation:
Given:
13 bushes and 4 trees cost = $411
Missing;
6 bushes and 2 trees cost = $201
Find:
Value of bushes and tree
Computation:
Cost of 1 bushes = a
Cost of 1 tree = b
So,
13a + 4b = 411 ...........eq1
6a + 2b = 201 ................eq2
From Eq1 and Eq2
Cost of 1 bushes = a = $9
From eq 1
13a + 4b = 411
13(9) + 4b = 411
Cost of 1 tree = b = $73.5
Last week the waiter received $80 in tips. This week the waiter received $63 in tips. What is the percent decrease in tips from last week to this week?
A 0.21%
B 21%
C 22%
D 27%
Answer:
21.25%
Step-by-step explanation:
To find the percent decrease, take the original amount and subtract the new amount
80-63 = 17
Divide this by the original amount
17/80 =.2125
Multiply by 100 to change to a percent
21.25%
A sample in a laboratory starts with 8 bacteria. The bacteria grow at a rate of 3.2% every hour. How many hours until the sample has grown to 140,000
bacteria? (Round to the nearest whole number)
A 46
B 3
C) 305
D 133
Answer:
probably C
Step-by-step explanation:
The question can be written as:
8 * 1.032^n = 140 000, this can be rearranged to
140 000/8 = 17500 = 1.032^n
now we need to find n, we could do this manually with a calculator, but an easier method is to use [tex]\log_x(y)[/tex]
example of log
2^3 = 8
log2 (8) = 3
log1.032 (17500) = 310.17
The sales tax on a $30 purchase was
$2.40. What was the sales tax rate?
Answer:
8 percent
Step-by-step explanation:
2.4/30 = 0.08 or 8%
What is a positive data set on a graph?
Answer:
when the dot's go left to right going upwards
Step-by-step explanation:
Anna bought a potted plant online. It cost $3.4 5plus 20% shipping and handling.What was the total cost
Answer:
Total cost = $4.08
Step-by-step explanation:
Given the following data;
Selling price = $3.4
Shipping and handling fee = 20%
To find the total cost;
First of all, we would determine the extra fee;
Extra fee = 20/100 * 3.4
Extra fee = 68/100
Extra fee = $0.68
Now, we can solve for the total cost using the formula below;
Total cost = selling price + extra fee
Total cost = 3.4 + 0.68
Total cost = $4.08
Line A passes through points (-1, 5) and (3, -1). Line B passes through points (7, 2) and (6, -1).
At what point does line A intersect line B?
Answer:
At (5, -4)Step-by-step explanation:
The slope of a line that passes through two given points: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The equation of the line that passes through given point with a slope of m:
y - y₁ = m(x - x₁)
Line A:
[tex]m=\dfrac{-1-5}{3-(-1)}=\dfrac{-6}4=-\dfrac32[/tex]
[tex]y-5=-\frac32(x+1)\\\\y=-\frac32(x+1)+5[/tex]
Line B:
[tex]m=\dfrac{-1-2}{6-7}=\dfrac{-3}{-1}=3[/tex]
[tex]y-2=3(x-7)\\\\y=3(x-7)+2[/tex]
Point of intersect means the same coordinates x and y.
So:
[tex]3(x-7)+2=-\frac32(x+1)+5\\\\3x-21+2=-\frac32x-\frac32+5\\\\3x-19=-\frac32x+\frac72\\\\6x-38=3x+7\\\\6x+3x=7+38\\\\9x=45\\\\x=5\\\\y=3(5-7)+2=3(-2)+2=-4[/tex]
find the value of angle ABC A(3x)B(x+4) C 110
A 30.5 degrees
B 60 degrees
C 80.5 degrees
D 121.5 degrees
An engineer is designing a large steel pad to be installed on the deck of an aircraft carrier. Its total volume will be 18 yd^3. A scale model made of the same material measuring 6 feet by 4.5 feet and 4 inches thick weighs 75 lbs. If the steel costs $55/lb, how much will the material for the full-sized steel pad cost?
a) 12,375.00
b) 55,687.50
c) 82,500.00
d) 222,750.00
Answer:
The cost of the material for the full-sized pad is;
d) 222,750.00
Step-by-step explanation:
The parameters of the steel pad and the scale model are;
The volume of the deck = 18 yd³
The dimensions of the model of the same material = 6 feet by 4.5 feet and 4.5 inches thick
The weight of the sample, m₂ = 75 lbs
The cost of the steel, P = $55/lb
The dimensions of the sample in yards are;
6 feet = 2 yards, 4.5 feet = 1.5 yards, and 4 inches = 0.[tex]\overline 1[/tex] yards
The volume of the sample, V₂ = 2 yd. × 1.5 yd. × 0.[tex]\overline 1[/tex] yd. = (1/3) yd.³
The density of the sample material, ρ = m₂/V₂
∴ The density of the sample material, ρ = 75 lbs/((1/3)yd.³) = 225 lbs/yd³
Therefore, the density of the material of the pad, ρ = 225 lbs/yd³
The mass of the steel pad, m₁ = ρ × V₁
∴ The mass of the steel pad, m₁ = 225 lbs/yd³ × 18 yd³ = 4,050 lbs
The cost of the material for the full-sized steel pad, C = m₁ × P
∴ C = 4,050 lbs × $55/lb = $222,750
Which statement is true about the prime polynomial 2x2 + 3x + 3?
ОО
It cannot be modeled with a rectangle.
It can be modeled with a square.
It cannot be modeled with all positive tiles.
It can only be modeled with an odd number of tiles.
Answer:
It cannot be modeled with a rectangle.
Step-by-step explanation:
The given expression 2x^2 + 3x +3 cannot be factored.
That means that it cannot be modeled with a rectangle.
So your answer is, It cannot be modeled with a rectangle.
Answer:
It cannot be modeled with a rectangle.
Step-by-step explanation:
Hope this helps
what % of 25 = 5
Please hurry
5 is what percent of 25? = 20
x - y = 4
y - 8 = -2
At which point do the graphs of the given equations intersect each other?
Answer:
(10,6)
Step-by-step explanation:
1. Rearrange
x-y=4
y=x-4
y-8=-2
y=6
2. Graph
??? Help me with my work pls
Answer:
2. 10 + 5 x 2 $20
3. 10 + 5 x 3 $25
4. 10 + 5 x 4 $30
Hope that helps!
Step-by-step explanation:
Answer:
2) 10+5x2= 20
3) 10+5x3= 25
4) 10+5x4= 30
Step-by-step explanation:
just add 5 every time
The exterior angles of a quadrilateral have measures of 80°, 65, 2x", and 3x . Find the value of x.
Answer:
80°+65°+2x+3x=360°(sum of quadrilateral is 360)
145°+5x=360°
5x=360°-145°
5X=215°
X=215°/5°
X=43°
The required value is [tex]x=43[/tex]
Given angles are,
[tex]80^{\circ}, 65^{\circ}, 2x,3x[/tex]
As we know the sum of all angles in the quadrilateral is [tex]360^{\circ}[/tex].
Then we have the relation,
[tex]80+65+2x+3x=360\\\\145+5x=360\\5x=360-145\\5x=215\\x=43[/tex]
So, the value of the x is 43.
Find out more information about the topic:https://brainly.com/question/8565742
how many miles is bowman from stonecrest ga.
a.1 hr 48 min
b.17 min
c.46 min
d.none of the above
a triangular sail on a sailboat measures 8 yards on one side and 10 yards on a second side, what could be the length on the third side?
Answer:
8 yards
Step-by-step explanation:
/\
/ \
/ \
----------
/ and \ = 8
_ = 10
whats the permiter and area of this triangle will mark brainleist?
Answer:
permiter 68ft
area 204ft²
Step-by-step explanation:
25ft+26ft+17ft=68ft
1/2×17ft×24ft=204ft²
I hope it's help
Select all the statements about the graphs of g (x) - 5 a? and f (x) = x2 that are true.
1. f and g open in the same direction.
2. f and g intersect twice.
3. f and g have the same axis of symmetry.
4. f and g have the same vertex.
5. g is wider than f.
Answer:
Use photo math, take a picture of the equation, and it will show everything you need to know about it!!!
20 POINTS! Please help!
Find the value of x. Round to the
nearest tenth.
x = [?]
Answer:
4 hope it helps you better
need help will give brainliest
3√x^2
I need to write this as a fractional exponent.
[tex]3\sqrt{x^2}[/tex][tex]=3x[/tex]
[tex]\sqrt[3]{x^2}[/tex][tex]=x^\frac{2}3}[/tex]
I do not know which one you mean but still one of them is still your answer. :)
Which equation represents the relationship between x and y?
A. y = x + 25
B. y = 25x
C. x =25y
D. x = y +25
Oscar is planning to paint his house. For stability, the foot of his 17-foot ladder should be placed 4 feet from the house. How far up the side of the house will the ladder reach?
Answer: The side of the house will the ladder reached by ladder = 16.52 feet
Step-by-step explanation:
House is standing vertical on the ground.
By placing ladder, it will become a right triangle with hypotenuse as ladder.
By Pythagoras theorem,
[tex](hypotenuse)^2=(perpendicular)^2+(base)^2[/tex]
i.e.
[tex](17)^2=(Height \ of\ wall\ reached\ by\ ladder)^2+4^2\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=289-16\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=273\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)=\sqrt{273}\approx16.52[/tex]
Hence, the side of the house will the ladder reached by ladder = 16.52 feet (approx)
X=
Y=
The polygons to the right are similar. Find the value of each variable
Answer:
y = 7
x = 24
Step-by-step explanation:
When two triangles are similar, the ratio of their corresponding sides are equal
For the bigger triangle we have a total 48; so for the smaller we have x
For the bigger, we have 14, so for the smaller, we have y
Mathematically;
25/x = 50/48
x * 50 = 25 * 48
x = (25 * 48)/50
x = 24
For y;
25/y = 50/14
y = (25 * 14)/50
y = 7
6.
Can the following side measures form a triangle?
3 ft, 5 ft, 8 ft
I a) Yes
b) No
Answer:
No
Step-by-step explanation:
the sum of the two shorter sides must be greater than the longer side
(not even if it is equal to, as in this case)
Here are some formulas to see if 3 sides can make a triangle...
[tex]a+b>c\\b-a, a-b<c\\a+c>b[/tex]
So a=3
b=5 and c=8
3+5=8
So no it can't.
A ship travels 200 km west from port and then 240 km due south before it is disabled. Illustrate this in a vector diagram. Use trigonometry to find the course that a rescue ship must take from port in order to reach the disabled ship.
The course that a rescue ship must take from port in order to reach the disabled ship is 312.4 km at a direction of 50.2⁰.
Sketch of the ship's motionThe sketch of the journey of the ship can be used to determine the course that a rescue ship must take from port in order to reach the disabled ship.
<-------- 200 km-------
|
| 240 km
↓
Displacement of the shipThe displacement of the ship from the initial position is calculated as follows;
d² = 200² + 240²
d² = 97,600
d = √97,600
d = 312.4 km
Direction of the displacementtanθ = 240/200
tanθ = 1.2
θ = tan⁻¹(1.2)
θ = 50.2⁰
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Write the name of each decimal place indicated (pls don't troll I'm failing I'll give brainliest)
Answer:
7.) c
8.) 5.9
9.) 8.78
10.) 8.778
if im wrong let me know
Step-by-step explanation:
The table below shows the scores on a science test.
John
75 Brett
80
Elizabeth 90
Cindy
100
Jake
75
Kenji
85
Rick
80 Joy
80
Raul
90 Suni
85
The number of standard deviations between a score and the mean score is indicated by a z-score. What was Cindy's
Z-score on the science test?
a. -2.2
C. 16
b. 100
d. 2.2
Based on the test scores of the students, Cindy's z-score on the science test is 2.2
How to determine the z-score of Cindy?We start by calculating the mean of the scores using:
Mean =Sum/Count
So, we have:
Mean = (75 + 80 + 90 + 100 + 75 + 85 + 80 + 80 + 90 + 85)/10
Mean = 84
Using a statistical calculator, the standard deviation is:
Standard deviation = 7.35
The z-score is then calculated using:
z = (x - mean)/standard deviation
Cindy's score is 100.
So, we have:
z = (100 - 84)/7.35
Evaluate
z = 2.2
Hence, Cindy's z-score on the science test is 2.2
Read more about z-scores at:
https://brainly.com/question/25638875
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Find the area of the composite figure.
A. 51 m2
B. 81 m2
C. 102 m2
D. 420 m2
Answer:
B. 81 m²
Step-by-step explanation:
6x10 = 60
7x6 = 42
42/2 = 21
60+21 = 81
Answer:
B) 81 meters squared
Step-by-step explanation:
rectangle = 6 * 10 = 60
triangle = .5 * 6 * 7 = 21
60+21 = 81
Watch help video
What is the equation of the line that passes through the point (-4,-2) and has a
slope of - 1/2
(-4 , 2 ) so x1 = -4 and y1 = 2. The slope is still 1/2 so m = 1/2. y = 1/2 x +4 final answer
The ratio of boys and girls riding the bus is 4:3 if there are a total of 56 students on the bus,how many girls are on the bus
Answer:
18 or 14
Step-by-step explanation:
also, can u help me with my recent questin