Answer:
1. Cost of a quantity of 1.
2. Divide the cost by quantity.
3. $0.18 per ounce
work: 2.15 / 12 = 0.1791666666666 and round
Frank wants to be an astronaut when he grows up. Last weekend, the science center had an interactive space station exhibit. Frank bought a 3-day pass so he could go every day. Since he bought a multiday pass, he saved $10. Frank paid $56 in all. How much does a day at the science center normally cost?
Evaluate the expression for x=2 and y=4
16x0 + 2x2 • y-1
Answer:
31
Step-by-step explanation
16x0+2x2•y-1
ok now
16•2+2•2•2•4-1
wich is: 31
3. One leg of a right triangle measures 10 inches while the other leg measures 21 inches. What is the length of the hypotenuse?
A) c = 9in
B) c = 11in
C) c = 12in
D) c = 7in
4. If the length of the hypotenuse is 10m and its base leg is 6m, what is the length of its remaining leg?
A) a = 8m
B) a = 9m
C) a = 12m
D) a = 10m
5. The altitudes of a right triangle has a length of 32cm. It’s hypotenuse measures 9cm. How long is its base leg?
A) b = 5cm
B) b = 7cm
C) b = 6cm
D) b = 9cm
6. Ben pushes a stick in the ground next to a flag pole so that its measure from the ground is 1 foot. The stick casts a shadow of 4 feet while the flag pole casts a parallel shadow of 60 feet. How tall is the
Step-by-step explanation:
Pythagoras formula for the relation of the side lengths in a right-angled triangle :
c² = a² + b²
c is the Hypotenuse, the side opposite of the 90 degree angle.
a and b are the "legs".
3.
c² = 10² + 21² = 100 + 441 = 541
c = sqrt(541) = 23.2594066...in
so, none of the provided answers. are you sure you put the right numbers ? maybe the second leg is sqrt(21) instead of 21 ? because then it would be
c² = 10² + sqrt(21)² = 100 + 21 = 121
c = 11in
4.
10² = a² + 6²
100 = a² + 36
64 = a²
a = 8 m
5.
again, there must be something wrong. the height of the triangle cannot be longer than the legs of the triangle.
given the answer options of 5 - 9 cm it cannot be 32cm. maybe you mean 3.2 cm ?
also interesting that it says "attitudes" - plural. what do you mean by that ?
because there is something else missing. like how long are the segments of the Hypotenuse where the height (or altitude) is touching the Hypotenuse ?
with just the Hypotenuse length and the height length we cannot calculate the other parts of the triangle, because we can move the height freely along the Hypotenuse and draw fitting right-angled triangles on that "skeleton".
6.
similar triangles. that means the lengths of corresponding lines (like sides or heights) are all in relation with the same scaling factor.
so, the small triangle has its "height" side of 1 ft, and multiplying with the scaling factor would then give us the height of the flag pole.
what is the scaling factor ? we get that from the pair of corresponding sides we already know : the shadows.
going from the small to the large triangle we have to transform 4ft into 60ft.
what do I have to multiply 4 with to get 60 ?
4 × x = 60
x = 60/4 = 15
so, the flag pole is
15×1 = 15ft tall.
Write an equation of the line that passes through the pair of points.
(-5,-4), (5,-3)
Step-by-step explanation:
the most common form of line equation is
y = ax + b
a is the slope of the line. it is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
b is the y-intercept (the y value when x = 0).
once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and since for b.
for the slope a :
x changes by +10 (from -5 to 5)
y changes by +1 (from -4 to -3)
the slope is +1/+10 = 1/10
the equation looks now like
y = (1/10)x + b
let's use the first point.
-4 = (1/10)×-5 + b = -1/2 + b
-3 1/2 = -7/2 = b
the equation is
y = (1/10)x - 7/2
so, the second answer option is correct.
Can someone pls help me!
Answer:
x is -3
Step-by-step explanation:
Which expression is equivalent to 4(6 - 2x) ?
Answer:
Option A
Step-by-step explanation:
[tex]4(6-2x)\\\rule{150}{0.5}\\\rightarrow ((6 * 4) ( -2x*4)) \leftarrow \text{Distribute the '4' into the content in the parenthesis.}\\\\\\\\\rightarrow 6 * 4 = 24\\\\\rightarrow -2x * 4 = -8x\\\\\\\\\rightarrow 4(6-2x) = \boxed{24 - 8x}[/tex]
Hope this helps.
Write your answer as a decimal. If the decimal has more than 2 decimal places, round to 2 decimal places.
woud
Unit 6 Portfolio
Task 1:
Taxi Cab Company A: $8 per ride and $0.35 per mile
• Write an equation in slope intercept form to represent the cost of a
taxi ride using company A.
Hint: use y=mx+b
Y =
• What does the y-intercept mean in the context of this problem?
Hint: What do you pay to step into the cab?
The y intercept means that $8 must be paid to step into the cab.
A linear equation is of the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Let y represent the total pay for x miles
Since $8 per ride and $0.35 per mile, hence the equation is:
y = 0.35x + 8
The y intercept means that $8 must be paid to step into the cab.
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Andrew measured a line to be 11 inches long. If the actual length of the line is 11.4 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answer:
3.5
Step-by-step explanation:
Error=11.4-11=0.4
Percentage error = (0.4/11.4) × 100 = 3.5 to the nearest tenth
The percent error in estimate is 3.5%
What is error?In practical mathematics, error is the distinction between a true value and an approximation, or approximate, representation of that value. A common example in statistics is the difference between the mean of the entire population and the mean of a sample picked from that population. An example of a round-off error in numerical analysis is the difference between an irrational number's actual value and the value of rational expressions.
Given
measured value = 11 inches
actual value = 11.4 inches
percent error = ((actual value - Estimate value)/actual value)100
percent error = ((11.4 - 11)/11.4)100
percent error = 0.03508 x 100
percent error = 3.508% = 3.5%
Hence the percent error is 3.5%.
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I got this problem solved so I no longer need help
Answer:
then whats the point
Step-by-step explanation:
3.03Quiz:circles
The center of a circle lies on the line y=6x+2 and is tangent to the x-axis at (-2,0)
What is the equation of the circle in standard form?
Answer:
yung nasa pic sagut sa⇩
The center of a circle lies on the line y=6x+2 and is tangent to the x-axis at (-2,0)
What is the equation of the circle in standard form?⇩
-Standard form for the equation of a circle is (x−h)2+(y−k)2=r2. The center is (h,k) and the radius measures r units. To graph a circle mark points r units up, down, left, and right from the center.
thank me later♡
PLEASE HELP AD EXPLAIN WELL!
Answer:
y intercept is (0, -4)
equation is y = x - 4
Step-by-step explanation:
The slope is rise/run which you can find by choosing "any" two points on the line. For instance (0,-4) and (4,0)
The rise is the difference in y direction: 0 - - 4 = 4, the graph "rises" by 4.
The run is the difference in x direction: 4 - 0 = 4, the graph "runs" by 4.
So the slope is 4/4 = 1.
The y intercept is the point on the y axis where the line passes through. This is (0,-4). The intercept value is y= - 4.
The equation is slope times x plus y intercept value.
So putting this all together gives you an equation of
y = 1·x + -4
a.k.a.
y = x-4
PLA HELP PLS PLS PLA
Answer:
y=3x-1
Step-by-step explanation:
I solved it by using graph paper so if you start out at (2,4), and go down 3 and left 1 you would end up at (-1,3)
Evaluate.
(2a - 3) ÷ (b / 4) when a = 12 and b = - 20
Answer:
-4.2
Step-by-step explanation:
First me put a and b in
2x12
24
(24 - 3) = 21
b: -20
-20 divided by 4 = -5
21 divided by -5
Answer= -4.2
Help please I really don’t understand SOS
Answer : 5 , 6 , 7 and 8
Step-by-step explanation:
.....
What will be the length of cloth used to make each bag, if 16 bags of equal sizes can be prepared from 50 m cloth?
A) 3 1/4 m
B) 8 1/6 m
C) 8 1/3 m
D) 3 1/8 m
Answer:
3 1/8
Step-by-step explanation:
16 bags = 50 m
1 bag = 50/16
1 bag = 25/8
1 bag = 3 1/8 ( due to mixed fraction )
so the cloth needed to make one bag is 3 1/8 m
3 2/7 divided by 1 1/4
Answer:
92/35
Step-by-step explanation:
⇒ 3 2/7 ÷ 1 1/4
⇒ (3*7 + 2) / 7 ÷ (1*4 + 1) / 4
⇒ 23/7 ÷ 5/4
⇒ 23 * 4 / 7 * 5
⇒ 92/35
The solution of the expression is 2 22/35.
What is Division method?
Division method is used to distributing a group of things into equal parts.
Given that;
The expression is,
3 2/7 divided by 1 1/4
Now, Solve the expression as;
3 2/7 ÷ 1 1/4
23/7 ÷ 5/4
23/7 x 4/5
92/35
2 22/35
Hence, The solution of the expression is 2 22/35.
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What is the answer for this this question if you don’t your gay
please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee (thank you :)
(cAt)
Answer:
answer is 2
Step-by-step explanation:
funny pic
tell the number of decimal places that will be in the product
1. 6.3×0.75=___
2. 9.7×48.8=____
3. 5.96×62.15=___
4. 37.6×8.3=____
Answer:
3242Step-by-step explanation:
The number of decimal places in the product is the sum of the numbers of decimal places in the factors.
1. the factors have 1 and 2 decimal places, so the product will have 1+2 = 3 decimal places.
2. 1 + 1 = 2 decimal places in the product
3. 2 + 2 = 4 decimal places in the product
4. 1 + 1 = 2 decimal places in the product
_____
Additional comment
If the factor has m decimal places, the place value of its least-significant digit is 10^-m. Similarly, if the factor has n decimal places, the place value of its least-significant digit is 10^-n. When these numbers are multiplied, the place value of the least-significant digit of the product is (10^-m)(10^-n) = 10^-(m+n). That is, there will be m+n decimal places in the product.
Note that the product in problem 3 is 370.4140. That is, the least-significant digit of the product is zero. Many calculators will not show that zero, giving the (false) impression that the product has only 3 decimal places.
Answer:
4.725
2.473.6
3.370.414
5.312.08
Step-by-step explanation:
solve 3+x>-9 A) x >3 B) x > -6 C) x>-3 x > D) x> -3
Answer: the answer should be x>-12
Step-by-step explanation:
3+x>-9
x>-9-3
X>-12
how do you solve this linear programming inequality equation?
1 > 3P + 10
Answer:
-3 > P
Step-by-step explanation:
1 > 3P + 10
Subtract 10 from each side
1-10 > 3P + 10-10
-9 > 3P
Divide each side by 3
-9/3 > 3P/3
-3 > P
hey can someone help with my assignment worth 80% of my grades
Answer:
Honestly the intercept should be on the axis
Step-by-step explanation:
Answer:
You didn't helped me with my question so no
Step-by-step explanation:
List numbers that are between -103 ad -130
Answer:
104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123,124,125, 126, 127, 128, 129
Hello! :)
Numbers between -103 and -130:
-104-105-106-107-108-109-110-111-112-113-114-115-116-117-118-119-120-121-122-123-124-125-126-127-128-129These are the numbers between -103 and -130. Hope it helps. Please ask if you have any query.
~An excited gal
#CarryOnLearning
[tex]MagicalNature[/tex]
PLEASE FIND THE MEASURE OF X
Answer: 3.42
Step-by-step explanation: use trig equations. Sin 20 = x/10. Multiply both sides by 10. Sin (20) times 10 is 3.42
Answer:
x = 3.42
Step-by-step explanation:
For the 20° angle, x is the opposite leg.
10 is the hypotenuse.
sin A = opp/hyp
sin 20° = x/10
x = 10 × sin 20°
x = 3.42
Find the sum of 382 - 8 - 10 and 1042 +2 - 10.
Answer:
364 and 1034
Step-by-step explanation:
Write an equation in slope-intercept form for the line with slope 3 and y-intercept "-7." Then graph the line.
Answer:
The equation of a straight line is always [tex]y=mx+b[/tex], where m is a constant which is the slope and b is a constant which is the y-intercept.
Substitute these values in:
[tex]y=3x-7[/tex]
The graph would look like the image attached.
Which of the following is(are) the solution(s) to |11x +3 = 6 ?
Hey there!
11x + 3 = 6
SUBTRACT 3 to BOTH SIDES
11x + 3 - 3 = 6 - 3
CANCEL out: 3 - 3 because it gives you 0
KEEP: 6 - 3 because it helps you solve for your x-value
11x = 6 - 3
11x = 3
DIVIDE 11 to BOTH SIDES
11x/11 = 3/11
CANCEL out: 11/11 because that gives you 1
KEEP: 3/11 because it simplifies for the x-value
SOLVE
x = 3/11
Therefore, your answer should bed x = 3/11
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Help me please Research
Answer:
i think the details given for the question is in sufficient or question is wrong
A car was traveling at 25 m/s when it slammed on the brakes and came to a complete stop in 3 seconds. What is the cars INITIAL/FINAL VELOCITY?
Answer:
Initial velocity = 25 m/s
Final velocity = 0 m/s
Step-by-step explanation:
Initial velocity is the speed in the beginning and final velocity is the speed in the end.
The problem says the car was traveling at 25 m/s, so that is the initial velocity. The end of the problem states the car came to a complete stop after 3 seconds. Therefore, the final velocity is 0 m/s.