Answer:
110.
Step-by-step explanation
4900 = 70^2
71^2 = 5041
5041- 4931 = 110
Answer is 110
You buy six T-bone steaks that cost $15.99 per pound. The weight that is listed on the package is 5.77 pounds. The scale that weighed the package is accurate to within 1 32 pound. How much per kilogram might you be undercharged or overcharged? (Round to the nearest cent.)
Answer:
$0.50
Step-by-step explanation:
Suppose that a person bought six T-bone steaks that cost $15.99 per pound
The weight that is listed on the package is 5.77 pounds.
The scale that weighed the package is accurate to within 1/32 pound
Let assume x is the range of the weight listed on the package,
Then:
[tex]|x-5.77| \leq \dfrac{1}{32} \ --- \ (1)[/tex]
Using the method of absolute value inequality;
[tex]- \dfrac{1}{32} \leq x -5.77 \leq \dfrac{1}{32}[/tex]
[tex]5.77- \dfrac{1}{32} \leq x \leq \dfrac{1}{32}+ 5.77[/tex]
[tex]5.77- 0.03125\leq x \leq 0.03125+ 5.77[/tex]
[tex]5.73875 \leq x \leq 5.80125[/tex]
The amount per kilogram undercharged or overcharged is :
[tex]=\dfrac{1}{32} \times 15.99[/tex]
= $0.50
The measure of an angle is 8 degrees less than three times the measure of the angle's supplement. Find the measure of the angle.
Answer:
262
Step-by-step explanation:
3(90) - 8 = x
270-8 = x
262 = x
Question of the day
Jack had lunch with two friends. Their bill for lunch was $29.46.
They want to add a tip of $5.25 and divide the total equally. How
much should each person pay?
.pdf
O $4.57
O $9.82
O $11.57
O 17.36
Answer:
$11.57
Step-by-step explanation:
First, find the total amount they need to pay.
Add the bill for lunch and the tip amount.
bill + tip
The bill was $29.46 and the tip was $5.25
$29.46 + $5.25
$34.71
The total amount with tip is $34.71
Next, find the amount each person should pay.
They want to divide the amount equally. There are 3 total people ( Jack + 2 friends = 3 people). Divide the total ($34.71) by 3.
$34.71 /3
$11.57
Each person should pay $11.57
I need help ASAP
Integrated math ll
Answer:
x = 15 and y = 30
Step-by-step explanation:
We see that 4x + 15 + 5x + 30 = 180.
We can solve for x:
9x + 45 = 180
9x = 135
x = 15.
We also see that 5x + 30 is equal to 3y + 15, so we can solve for y:
5x + 30 = 3y + 15
5 (15) + 30 = 3y + 15
3y = 75 + 30 - 15
3y = 90
y = 30.
what percentage of 2½ meters is 100 cm?
Answer:
100/250*100= 40%
Step-by-step explanation:
40%
Step-by-step explanation:2 1/2m = 250 cm
250cm .............100%
100cm ..................x%
x = 100cmx100%/250 cm
= 10000%/250
= 40%
Allen is showing his work in simplifying-8.3 + 9.2 - 4.4 + 3.7. Identify and explain any errors in his work or in his reasoning. Write feed back to Allen explaining the mistakes he made and how to correct his work
Answer:
Step-by-step explanation:
The question lacks Allen's workings. Find it below.
Step Work Reasoning
−8.3 + 9.2 − 4.4 + 3.7 Original problem
1 −8.3 + 9.2 + 4.4 + 3.7 Additive inverse
2 −8.3 + 4.4 + 9.2 + 3.7 Commutative property
3 −8.3 + (4.4 + 9.2 + 3.7) Associative property
4 −8.3 + 17.3 Simplify
5 9 Simplify
Given the equation −8.3 + 9.2 − 4.4 + 3.7, to solve this we are going to be using different properties.
Given three values A, B and C, the following are true:
A-B = A+(-B) Additive inverse
(A+B)+C = A+(B+C) Commutative property
Applying this laws to correct Allen's calculation
Original problem
−8.3 + 9.2 − 4.4 + 3.7
Applying the additive inverse property
−8.3 + 9.2 +(− 4.4) + 3.7 {since product of plus and minus sign still gives a minus sign)
Rearranging the equation based on signs according to the associative property we will have:
−8.3 +(-4.4) + 9.2 + 3.7
Using the commutative property to separate the positive variables from negative variables will give:
{−8.3 +(-4.4)} + {9.2 + 3.7}
Since {−8.3 +(-4.4)} + {9.2 + 3.7} = {9.2 + 3.7} + {−8.3 +(-4.4)}
Simplify the expressions in parenthesis:
= {−8.3 +(-4.4)} + {9.2 + 3.7}
= (-8.3-4.4)+(9.2+3.7)
= (-12.7)+(12.9)
= 0.2
From the above calculation, it can be seen that Allen made an error while using the additive inverse property in his first step. He should not have removed the minus sign. The negative sign was removed from step 1 which makes the remaining steps of his calculation to be wrong. Instead of replacing -4.4 directly with +4.4 he should have used the additive inverse property by replacing -4.4 with +(-4.4).
Answer:
but like can you tell us where he did it wrong
5 (3x) – 7y2 =?, when x = 3 and y = 2
Answer:
5(3x)-7y^2.
5(3×3)-7(2×2).
45-28=17.
PLEASE HELP ME I'LL MAKE YOU BRAINLIEST!!!! In 1972, federal vehicle emission standards 3.4 grams hydrocarbons released per mile driven. By 2007, the standards allowed only 0.8 grams hydrocarbons per mile driven. What was the rate of change from 1972 to 2007? Please show work thank you
======================================================
Work Shown:
x = year
y = amount of hydrocarbon emissions in grams, per mile driven
m = rate of change = slope
m = (y2 - y1)/(x2 - x1)
m = (0.8 - 3.4)/(2007 - 1972)
m = -2.6/35
m = -0.0742857 approximately
The approximate rate of change is about -0.0742857 grams per year. The negative rate of change indicates the per mile hydrocarbon amount has gone down by about 0.0742857 grams each year.
After an exercise, Ali and Ben measured their heart rates. The ratio of their heart rates was 15:17 Bens heart beats 18 times per minute more than Ali. Calculate Ali heart rate
Answer:
Ali's heart rate is 135 times per minute.
Step-by-step explanation:
Let Ali's heart rate be denoted by x times per minute.
It is provided that Ben's heart beats 18 times per minute more than Ali.
The ratio of their heart rates was 15:17.
That is:
[tex]\frac{15}{17}=\frac{x}{x+18}[/tex]
Solve for x as follows:
[tex]\frac{15}{17}=\frac{x}{x+18}[/tex]
[tex]15(x+18)=17x\\15x+270=17x\\2x=270\\x=135[/tex]
Thus, Ali's heart rate is 135 times per minute.
Write an equation of each line in standard form with integer coefficients. y=4.2x+1.8
Answer: -21x + 5y = 9
Step-by-step explanation:
The standard form says that Ax + By=C
So to covert y = 4.2x + 1.8 into subtract 4.2 from both sides.
y = 4.2x + 1.8
-4.2x -4.2x
-4.2x + 1y = 1.8 Now it is written in standard form and to make the decimals integers we will multiply both sides by 10.
-4.2x(10) + 1y(10) = 1.8(10)
-42x + 10y = 18 which reduces to -21x + 5y = 9
Which expression is equivalent to StartRoot StartFraction 8 Over x Superscript 6 Baseline EndFraction EndRoot? Assume x Greater-than 0. StartFraction x cubed StartRoot 2 EndRoot Over 2 EndFraction StartFraction 4 StartRoot 2 EndRoot Over x cubed EndFraction StartFraction StartRoot 2 EndRoot Over 2 x cubed EndFraction StartFraction 2 StartRoot 2 EndRoot Over x cubed EndFraction
Answer:
D
Step-by-step explanation:
The expression is equivalent to [tex]\rm \frac{2 \sqrt2}{x^3}[/tex]. Option D is correct.
What is the definition of a fraction number?
A fraction number is a number that represents a portion of a larger number, where the larger number might be any integer. It has the shape of a numerator and a denominator.
The given expression is;
[tex]\rm \sqrt {\frac{8}{x^6}}[/tex] x>0
The square root of 8 is 2√2 and x⁶ is x³.
The expression is equivalent to [tex]\rm \frac{2 \sqrt2}{x^3}[/tex].
Hence, option D is correct.
To learn more about fraction numbers, refer to https://brainly.com/question/8602593
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Pls answer it ......
Step-by-step explanation:
angle ACB=75° (being inscribed angle)
Angle BCD=105° (sum of straight line)
angle BCD + angle BQD=180° (opposite angle of quadrilateral inscribed in circle is supplemetry)
105° + x =180°
x= 75°
( 3x + 8 ) - ( 2x + 7 ) when x=3
Answer:
4
Step-by-step explanation:
First, substitute x for 3 and simplify
(9 + 8) - (6 + 7)
Simplify again
17 - 13
Simplifly once more
4
answer 4
method: if x=3
Sol (3(3)+8) - (2(3)+7) changed x=3
Then multiply =(9+8) - (6+7)
Add and subtract = 17-13
Then subtract and you will have your answer =4
Hope it helped
Please mark brainliest :)
convert 15/2 into a mixed number
Answer:
1 ⁵/2........ .......
.
Answer:
Step-by-step explanation:
[tex]\frac{15}{2}=7\frac{1}{2}[/tex]
Find the value of a.
b
83°
520
Write and evaluate the expression. Then, select the correct answer.
two less than the quotient of a number and four, increased by ten;
evaluate when m = 12
Answer:
The answer is 11
Step-by-step explanation:
got `100%
36__3__12__6__1 = 36
Either add, subtract, multiply or divide these numbers to get 36 (use each symbol how ever many times as needed)
Answer:
36 * 3 - 12 * 6 * 1 = 36
Step-by-step explanation:
36 * 3 - 12 * 6 * 1 = 36
120 men had provisions for 200 days. After 5 days, 30 men died due to an epidemic. The remaining food will last for _______________ Proportion (a) 146 1/4 days (b) 150 days (c) 2251/2 days (d) 260 days
Answer:
the answer is 150 days
Step-by-step explanation:
that is the answer
How many solutions does -6 + 2x = 3x have?
Parallel lines p, q and r are cut by transversal t. Which of these describes how to find the value of x
1. Lines p and t are parallel, so the alternate exterior are congruent; x = 130
2. Lines q and r are parallel, so the interior angles are supplementary; x = 130
3. Lines p and r are parallel, so they alternate exterior angles are supplementary; x = 50
4. Lines q and r are parallel, so the corresponding angles are congruent; x = 50
Answer:
Lines p and t are parallel, so the alternate exterior are congruent; x = 130
Step-by-step explanation:
hope you like it it :) god bless you all
we love cheating in iready :3
The correct answer is 2. Lines q and r are parallel, so the interior angles are supplementary; x = 130
What is Transversal?A line that intersects more than two lines is known as transversal.A Transversal cuts the two parallel lines and the angles formed in the transversal are known as transversal angles.How many types of Transversal angles are there?
The types of transversal angles are as follows
Corresponding anglesAlternate Interior AnglesAlternate Exterior AnglesCo-interior AnglesWhy other options are incorrect?
Option 1. is incorrect because Lines p and t are not parallel
Option 3 is incorrect because alternate exterior angles is x= 130°
Option 4 is incorrect because x is not corresponding angle to 50°
Hence , Option 2 is correct and rest options are incorrect.
Learn more about transversal here
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Jon borrows 5.50 from his friends to pay for snacks, and 12.75 from his sister to go the movies. How much does he need to repay
Answer:
18.25
Step-by-step explanation:
Add 5.50 and 12.75
5.50 + 12.75 = 18.25
Answer: 18.25
Step-by-step explanation:
Guys help me pls I need it immediately
Answer:
Hey there!
First, we want to find the side length of the large triangle.
1/2bh=y cm^2
bh=2y cm^2
Since b and h are the same here, we have b^2= 2y, [tex]b=\sqrt{2y}[/tex].
And we have FC=[tex]\frac{\sqrt{2y} }{2}[/tex].
Area of shaded triangle: [tex]\frac{1}{2} (\frac{\sqrt{2y} }{2})(\frac{\sqrt{2y} }{2})[/tex].
This is equal to: [tex]\frac{1}{2}(\frac{2y}{4})[/tex], or y/4.
Let me know if this helps :)
A hot air balloon is drifting at an altitude on
on is drifting at an altitude of 2550 ft. The balloon needs to descend to an altitude of
0 it. How many feet must the balloon descend?
Answer:
2550 ft
Step-by-step explanation:
The difference between 2550 ft and 0 ft is 2550 ft.
The balloon must descend 2550 ft to reach an altitude of 0 ft.
(5^3)−4
pls help!!!!
Answer:
121
Step-by-step explanation:
5 Raise to the power of 3
125-4=
121
Answer:
Step-by-step explanation:
121 simplify the equation
PLEASE HELP ME ON THIS I NEED IT NOW
Answer:
Solution : (36, 42)
Step-by-step explanation:
It mention that the image is dilated by a scale factor of 6, and hence we will have to multiply each coordinate by 6 to receive the dilated point. Here we only want the dilation of point B,
B' = (6 [tex]*[/tex] 6, 7 [tex]*[/tex] 6) = (36, 42)
If quadrilateral ABCD is dilated by a scale factor of 6, then the coordinates of point B' are (36, 42).
in how many ways of the permutations of 10 different things taken 4 at a time will one particular thing always occur
Answer:
do as direct
which one of the following is square of 4
2
8
16
64
what is 1/3 to the power of 2
Answer:
Brainliest!
Step-by-step explanation:
1/3 is going to be like
1^2
------
3^2
= 1/9
A 2-column table with 4 rows. Column 1 is labeled Store with entries A, B, C, D. Column 2 is labeled Unit price (per loaf) with entries 1 dollar and 98 cents, 1 dollar and 95 cents, 2 dollars and 1 cent, 2 dollars and 2 cents. From which store should Camillo buy bread to get the best price? Store A Store B Store C Store D
Answer:
B
Step-by-step explanation:
The lowest price in column 2 is $1.95 per loaf, at store B.
Answer: 48.75
Step-by-step explanation:
Multiply.
(3 – 4i)(–2 – 2i)
Enter your answer in the box.
Answer:
[tex]\Huge \boxed{-14 + 2i}[/tex]
Step-by-step explanation:
(3 – 4i)(–2 – 2i)
Expanding brackets.
3(-2 - 2i) - 4i(-2 - 2i)
-6 -6i + 8i + 8i²
Apply imaginary number rule : i² = -1
-6 - 6i + 8i + 8(-1)
-6 - 6i + 8i - 8
Combining like terms.
-6 - 8 - 6i + 8i
-14 + 2i
A construction crew has just finished building a road. The crew worked for 10 days. If they built 314 kilometers of road each day, what is the total length of road they built?
Answer:
3140
Step-by-step explanation:
If they made 314 kilometers per day and they worked for 10 days, multiply:
[tex]314*10=3140[/tex]
The total length of the road is 3,140 kilometers.
Answer:
1st or each day=314km
Let x in km be the total km for 10 days
10=x
>314×10=x
X=3140km
Therefore, for 10days, the road constructed was 3140km