Answer:
Step-by-step-explination
Borox is loading a freight elevator with 12 boxes: 4 small, 5 medium, and 3 large. A small box and medium box together weigh 20 pounds; a medium box and a large box together weigh 28 pounds, and a large box with a small box weighs 24 pounds. What is the total weight of the 12 boxes?
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
Classify the pair of angles shown.
Answer:
complementary angles
Step-by-step explanation:
The two angles add to 90 degrees, which means they are complementary angles
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4x²=9/16 Solve the equation and show your work.
Charles road his bike due west 17 miles, then turned due south and rode another 13 miles. About how far was he from his starting point?
a
17.5 mi
b
21.4 mi
c
13.6 mi
d
10.9 mi
Answer:
21.4 miles (Answer A)
Step-by-step explanation:
17 miles west and then 13 miles south can be represented by a triangle whose leg lengths are 17 miles and 13 miles respectively. We use the Pythagorean Theorem to find the length of the hypotenuse of this triangle; the hypotenuse length is the straight line distance between starting and end points:
d = √(13² + 17²) miles, or d = 21.4 miles
Jack decides to coast to a stop on his bicycle, so he quits pedaling. The table represents his velocity (in meters per second) as a
function of time (in seconds). According to the table, which point is the y-intercept on a graph representing the data?
A) (0,0)
B) (0, 12)
C) (12,0)
D) (0, 20)
Answer:
1 cubic meter (m3) is equal to how many cubic center meters(cm3)Answer:
B if your doing prep
Step-by-step explanation:
math
2(2x - 3) + 6 = 4x How many solutions does the equation have? A. no solutions B. one solution C. two solutions D. infinitely many solutions
Answer:
D. infinitely many solutions
Step-by-step explanation:
to find how many solutions the equation have, we can solve it
here's the given equation:
2(2x-3)+6=4x
our goal is to isolate the variable onto one side
do the distributive property shown in the equation (multiply both 2x and -3 by 2)
4x-6+6=4x
combine like terms (add -6 and 6)
4x=4x
subtract 4x from both sides, as we still have the variable on both sides
0=0
0 is always equal to 0; that's an identity
if we get to a point in an equation where we get an identity as the answer (ex. 3=3 or in this case, 0=0), the answer is all real numbers, or infinitely many solutions
Answer:
D. Infinitely many solutions.
Step-by-step explanation:
Your Statistics group wanted to determine what percent of Dulles High School senior like pineapple on their pizza. You randomly sampled 60 seniors and 36 responded that pineapple is one of their favorite topping. You wanted to construct a 90% confidence interval to report your findings. (Use your Confidence Interval Notes and the assigned videos to answer the questions) A margin of error (ME) tells you how many percentage points your results will differ from the true proportion of the population. For example, a 95% confidence interval with a 4 percent margin of error means that your sample proportion will be within 4 percentage points of the true proportion value 95% of the time. Calculate the ME of your study.
Answer:
The answer is "0.1040"
Step-by-step explanation:
Margin of error[tex]=Z_{\frac{\alpha}{2}} \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\\\[/tex]
[tex]=Z_{\frac{0.10}{2}} \sqrt{\frac{\frac{36}{60}(1-\frac{36}{60})}{60}}\\\\=1.645 \times 0.0632\\\\=0.1040\\\\[/tex]
Ms. Biediger family wants to drive 750 miles. If they drive the same distance each day for 5 days what distance d, do they need to drive each day
. Parallel lines A and B are cut by transversal, t, as shown below. Use the relationship of the marked angles above to find the correct value of x.
Answer:
x = 30
Step-by-step explanation:
These angles form supplementary angles meaning they add up to 180°.
[tex]5x-40+2x+10=180\\7x-30=180\\7x=210\\x=30[/tex]
f(n) = 2n− 5; Find f(−8)
Answer:
Step-by-step explanation:
Putting value of n = - 8 in the equation
F(n) = 2n− 5
F(-8) = 2(-8) - 5
= - 16 - 5 = - 21
What is the slope of a line that passes through (2, -5) and (6, -2)? Question 3 options: -4/3 -3/4 3/4 4/3
Answer:
C 3/4
Step-by-step explanation:
(2,-5) and (6,-2)
To find the slope, you subtract the 2 y-coords and the 2 x-coords.
-2-(-5)=3
6-2=4
So the slope is 3/4 or C.
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hope it helps
Answer:
3/4
Step-by-step explanation:
(2, -5) and (6, -2)
Slope:
m=(y2-y1)/(x2-x1)
m=(-2+5)/(6-2)
m=(3)/4
m= 3/4
1) which rule best describes the following pattern?
8,4,10, 6, 12, 8, 14, ...
1) Divide by 2, add 6, subtract 4, repeat
) Subtract 4, add 6, repeat.
» Subtract 4, add 6, subtract 6, repeat.
Divide by 2, add 6, repeat
Answer:
Step-by-step explanation:
Option C is the correct answer
The fifth term of an arithmetic sequence is 96. Which rule could define the sequence?
Answer:
a+4d = 96
Step-by-step explanation:
Given: fifth term of an arithmetic sequence is 96
This means, a+4d = 96
Where, a is the first term in the series and d is the common difference,
Since, the terms is 5th therefore we can say that
a+4d = 96
a = 96-4d
Answer:
B) an = 18n + 6
Step-by-step explanation:
Dr. Nick has a large red fluffy dice hanging from the rear view mirror in his car. The length of one of the sides of that die is 6 inches. What is the total surface area of that die?
Answer:
Total surface area of Die = 216 inch²
Step-by-step explanation:
Given:
Length of one side of die = 6 inches
Find:
Total surface area of Die
Computation:
Total surface area of Die = Total surface area of cube
Total surface area of cube = 6(side)²
Total surface area of Die = 6(Length of one side of die)²
Total surface area of Die = 6(6)²
Total surface area of Die = 6(36)
Total surface area of Die = 216 inch²
The table shows the admission fees to one conservatory at Gardens by the Bay. Mr Tan and his friends planned a group visit for three adults and nine children. Find the amount of money they had to pay for their tickets.
per adult $2.
Per child $8.
Answer:
78$
Step-by-step explanation:
3 adults, 2 dollars per adult. Multiply. 3(2) = 6
9 children, 8 dollars per child. Multiply. 9(8) = 72
Add to get total sum of money they needed to pay. 72+6 = 78
Janet must paint her outdoor circular tabletop because it has rusted. The diameter of the table
is four feet. How many square feet of paint will she use to take care of the task
Answer:
12.56 ft²Step-by-step explanation:
The area of the tabletop:
A = πr² = πd²/4 = 3.14*4²/4 = 12.56 ft²Answer: my friend up there did it right
Step-by-step explanation:
Carlos earns $11 per hour at his job. Let z represent the number of hours he worked in May. Let y represent
the number of hours he worked in June. Which expressions represent the amount of money, in dollars, Carlos
earned in May and June? Select all correct answers.
Answer: 11z + 11y
Step-by-step explanation:
Carlos earns his pay by the hour. That means that to find the cash made in a given month, the formula is:
= Carlos payment per hour * Number of hours worked in a month
In May he worked z hours:
He earns $11 per hour and works z hours, expression for earnings for the month is:
= 11 * z
= 11z
In June he worked y hours:
= 11 * y
= 11y
The total he earned in both May and June is:
= 11z + 11y
The expressions represent the amount of money, in dollars, Carlos earned in May and June is 11z + 11y.
Given that,
Carlos earns $11 per hour at his job. Let z represent the number of hours he worked in May. Let y represent the number of hours he worked in June.Based on the above information, the calculation is as follows:
For May it is 11z
For June it is 11y
So, total it should be
11z + 11y
Learn more: https://brainly.com/question/24908711?referrer=searchResults
will mark brainliest will mark brainliest
Answer:
1) SAS
2) SSS
3) SSA
4) ASA
5) No, not enough corresponding info given
Answer:
1) SAS
2) SSS
3) SSA
4) ASA
5) Sorry I don't know
Please mark me as the brainliest
The radius of a circle is 2 m. Find the circumference to the nearest tenth.
Answer:
25.13 or 25.1
Step-by-step explanation:
2 x pi/3.14x4
Answer:
12.6
Step-by-step explanation:
circumference=2πr
=2 x 3.142 x 2
= 12.6 to the nearest tenth
Ill Give Brainlest if u can answer both!!!!
Answer:
Question 5 is D.
Question 6 is C.
Step-by-step explanation:
Answer:
Question 5: 96 ÷ g
Question 6 : 76
Step-by-step explanation:
5.08, 1.99, 4.54, 4.83, 3.2, 1.99, 4.36, 4.8, 4.78
What is the median?
Answer:
4.45
Step-by-step explanation:
it is ordered from highest to lowest1,99 1,99 3.2 4,36 4,54 4,78 4,8 4,83
(2 numbers remain as medium)
is added and divided by 24,36
4,54
8,90/2= 4.45
i hope i have help you :)
Someone plz help me giving brainliest
Answer:
I think 129 miles.... ..........
Answer:
129 miles
Step-by-step explanation:
Lemon Yellow paint can be made by
mixing 5 gallons of yellow paint and
2 gallons of white paint. How many
gallons of yellow paint should be
mixed with 9 gallons of white paint
to make Lemon Yellow?
4. Find the volume of the figure. The base is a square.
5. Find the volume of the figure. Leave the answer in the terms of pi
Answer:
A) 283500 ft³
B) 1057.26 π in³
Step-by-step explanation:
A) Volume of square based pyramid
= 1/3 × Area of the base × height
= 1/3 × (90 ft)² × 105 ft
= 283500 ft³
B) This figure is a composite figure
Step 1
Find the volume of the cone
=1/3 πr²h
r = radius = 8.5 in
h = height = 10 in
= 1/3 × π × (8.5 in)² × 10 in
= 240.83333333 π in³
≈ 240.83 π in³
Step 2
Find the volume of the cylinder
= πr²h
= r = radius = 8.5 in
h = height = 11.3 in
= π × (8.5 in)² × 11.3 in
= 816.425 π in³
≈ 816.43π in³
Volume of the figure = (240.83 π + 816.43 π) in³
= 1057.26 π in³
use f(x) = 2x-9 and g(x)=9-x^2 to evaluate g(f(3))
Answer:
g(f(3)) = 0
Step-by-step explanation:
f(x) = 2x - 9
f(3) = 2(3) - 9
f(3) = -3
g(-3) = 9 - (-3)^2
g(-3) = 9 - 9
g(-3) = 0
Quadrilaterals DONT and WALK are similar. Find the length of side DO.
(15 Points)
Send ASAP PLSS
can you help me with this please
Answer:
x = Adjacent B). Tangent
Step-by-step explanation:
x = Adjacent
B). Tangent
Answer:
see explanation
Step-by-step explanation:
In relation to the angle 37°
The side opposite is labelled 14 → A
The adjacent side is labelled x → B
Using the trig function tangent would enable x to be found, that is
tan37° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{14}{x}[/tex]
Pls help me with this one
Answer:
c
Step-by-step explacnation:
Answer:
D
Step-by-step explanation:
Solve equation
4x-1=0
Answer:
x=1/4
Step-by-step explanation:
Answer:
4x-1=0
+1 +1
4x=1
/4 /4
x= 0.25 or 1/4
Step-by-step explanation:
i hope this helps :)