HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Let's say she does the absolute minimum and buys 4 bags
Each bag has 7 servings, so there are 7*4 = 28 servings total.
I'm assuming each of the 30 guests gets one serving only. If so, then there wouldn't be enough food to go around (30-28 = 2 people are left out).
This means she cannot round x = 4.3 to x = 4. Instead, she must round up to get x = 5 as the lowest x value possible.
7x = 7*5 = 35 servings clears the hurdle.
So in short, x = 4 does not work in [tex]7x \ge 30[/tex] but x = 5 does work in
-----------
Alternatively, you could plug in x = 4 into [tex]x \ge 4.3[/tex] to get [tex]4 \ge 4.3[/tex] which is not a true statement. So x = 4 is not a solution to
However, x = 5 is a solution since [tex]5 \ge 4.3[/tex] is a true statement.
Related Questions
Five times the sum of a number and 6 equals 8.
Answers
Answer:
Algebraic expression = 5(x+6)=8
x = -22/5
Step-by-step explanation:
Let the unknown number be x
Translate into Algebraic expression ;
[tex]5(x+6)=8[/tex]
Solve the equation
[tex]5\left(x+6\right)=8\\Divide\: both \:sides \:by \:5\\\frac{5\left(x+6\right)}{5}=\frac{8}{5}\\\\Simplify\\x+6=\frac{8}{5}\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\x+6-6=\frac{8}{5}-6\\\\\mathrm{Simplify}\\x=-\frac{22}{5}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Answer:
[tex]\Huge \boxed{5(x+6)=8}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
Let the number be x.
The sum is the result from adding two or more values together.
The sum is multiplied by 5. The result is equal to 8.
[tex]5* (x+6) =8[/tex]
[tex]5(x+6)=8[/tex]
[tex]\rule[225]{225}{2}[/tex]
Dennis takes care of private swimming pools. He charges $50 to travel to a home and then $30 per hour. The equation t=50+30h models the total charge t for h hours of service. Find the ordered pair that presents 3 hours of work
Answers
Answer:
(3, 140)
Step-by-step explanation:
If we have the equation [tex]t = 50 + 30h[/tex], we can substitute the value 3 as [tex]h[/tex] to find the value of [tex]t[/tex].
[tex]t = 50 + 30(3)\\\\t = 50 + 90\\\\t = 140[/tex]
So we know that the total cost is $140.
To represent this as an ordered pair, we need to take note that the independent variable (x) is the one that we change to get the result (y).
We changed [tex]h[/tex] to get [tex]t[/tex], so [tex]h[/tex] is the x and [tex]t[/tex] is the y.
So it's represented as (3, 140).
Hope this helped!
The height of the sail on a boat is 7 feet less than 3 times the length of its base. If the
The area of the sail is 68 square feet, find its height and the length of the base.
Answers
Answer:
Base=8 feet
Height=17 feet
Step-by-step explanation:
Let
Base=x
Height=3x-7
Area=68 square feet
Area of the sail boat=1/2 * base * height
68 = 1/2 * x * (3x-7)
Cross product
68 * 2 =(1) * (x) * (3x-7)
136 = 3x^2 - 7x
3x^2 - 7x - 136=0
Using quadratic formula
x= -b +or- √b^2 - 4ac / 2a
= -(-7) +or- √(-7)^2 - (4)(3)(-136) / 2(3)
= 7 +or- √49 - (-1632) / 6
= 7 +or- √49+1632) / 6
= 7 +or- √1681 / 6
=7 +or- 41 /6
x= 7+41 / 6 or 7-41 / 6
=48/6 or -34/6
=8 or -17/3
Answer:
Step-by-step explanation:
Let
Base=x
Height=3x-7
Area=68 square feet
Area of the sail boat=1/2 * base * height
68 = 1/2 * x * (3x-7)
Cross product
68 * 2 =(1) * (x) * (3x-7)
136 = 3x^2 - 7x
3x^2 - 7x - 136=0
Base of the boat can't be a negative value
Therefore,
Base = x = 8 feet
Height= 3x-7
=3(8)-7
=24-7
=17 feet
4x-7y=8 and -2x+5y=-1
Answers
Answer:
x=11/2 and x=2
Step-by-step explanation:
i took the test
between which two consecutive integers is the negative square root of 5
Answers
Answer: Between the numbers -2 and -3
Step-by-step explanation:
The negative square root of 5 will be slightly greater than 2 because the square root of 4 is 2 and 5 is greater than 2. The negative square root of 5 will not be greater than -3 because 3 squared is 9. So it has to be between -2 and -3.
Answer:
-2 and -3
Step-by-step explanation:
So in a simple way we can look at it as what is square root of positive 5.
This is between 2 and 3 but since we are looking for Negative 3, our answer is between -2 and -3
Hope this helps!
Which expression is equivalent to 4(23)?
Answers
Answer:
92
Step-by-step explanation:
Multiply 4 and 23:
4 * 23 = 92
There are 36 cupcakes. 9 of them are chocolate. What percent are chocolate?
Answers
Answer:
25%
Step-by-step explanation:
9/36 = 0.25
25% are chocolate.
The average annual amount American households spend for daily transportation is $6312 (Money, August 2001). Assume that the amount spent is normally distributed.a. Suppose you learn that 5% of American households spend less than $1000 for dailytransportation. What is the standard deviation of the amount spent?b. What is the probability that a household spends between $4000 and $6000?c. What is the range of spending for the 3% of households with the highest daily transportationcost?
Answers
Answer:
(a) The standard deviation of the amount spent is $3229.18.
(b) The probability that a household spends between $4000 and $6000 is 0.2283.
(c) The range of spending for 3% of households with the highest daily transportation cost is $12382.86 or more.
Step-by-step explanation:
We are given that the average annual amount American households spend on daily transportation is $6312 (Money, August 2001). Assume that the amount spent is normally distributed.
(a) It is stated that 5% of American households spend less than $1000 for daily transportation.
Let X = the amount spent on daily transportation
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = average annual amount American households spend on daily transportation = $6,312
[tex]\sigma[/tex] = standard deviation
Now, 5% of American households spend less than $1000 on daily transportation means that;
P(X < $1,000) = 0.05
P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{\$1000-\$6312}{\sigma}[/tex] ) = 0.05
P(Z < [tex]\frac{\$1000-\$6312}{\sigma}[/tex] ) = 0.05
In the z-table, the critical value of z which represents the area of below 5% is given as -1.645, this means;
[tex]\frac{\$1000-\$6312}{\sigma}=-1.645[/tex]
[tex]\sigma=\frac{-\$5312}{-1.645}[/tex] = 3229.18
So, the standard deviation of the amount spent is $3229.18.
(b) The probability that a household spends between $4000 and $6000 is given by = P($4000 < X < $6000)
P($4000 < X < $6000) = P(X < $6000) - P(X [tex]\leq[/tex] $4000)
P(X < $6000) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{\$6000-\$6312}{\$3229.18}[/tex] ) = P(Z < -0.09) = 1 - P(Z [tex]\leq[/tex] 0.09)
= 1 - 0.5359 = 0.4641
P(X [tex]\leq[/tex] $4000) = P( [tex]\frac{X-\mu}{\sigma}[/tex]
= 1 - 0.7642 = 0.2358
Therefore, P($4000 < X < $6000) = 0.4641 - 0.2358 = 0.2283.
(c) The range of spending for 3% of households with the highest daily transportation cost is given by;
P(X > x) = 0.03 {where x is the required range}
P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{x-\$6312}{3229.18}[/tex] ) = 0.03
P(Z > [tex]\frac{x-\$6312}{3229.18}[/tex] ) = 0.03
In the z-table, the critical value of z which represents the area of top 3% is given as 1.88, this means;
[tex]\frac{x-\$6312}{3229.18}=1.88[/tex]
[tex]{x-\$6312}=1.88\times 3229.18[/tex]
x = $6312 + 6070.86 = $12382.86
So, the range of spending for 3% of households with the highest daily transportation cost is $12382.86 or more.
Keith bought 6 new baseball trading cards to add to his collection. The next
day his dog ate half of his collection. There are now only 25 cards left.
How many cards did Keith start with ?
Answers
Keith started with 44 cards.
So we need to work backwards.
After his dog ate half his collection, he had 25 cards.
To reverse that, you need to multiply 25 by 2.
25×2=50
If he bought 6 new cards that day, then he started with 6 cards less.
So you have to subtract 6 from 50.
50-6=44
♡ Hope this helped! ♡
❀ 0ranges ❀
A roulette wheel has 38 slots total, 36 of which are numbered 1 through 36, and 2 green slots labeled "0" and "00." For any spin of the wheel, what is the probability of the roulette ball NOT landing on red?
Answers
Answer:
Probability (Roulette ball not landing on red) = 10 / 19
Step-by-step explanation:
Given:
Number of total slots = 38
Number of red slots = 18
Number of black slots = 18
Number of green slots = 2
Find:
Probability (Roulette ball not landing on red)
Computation:
Probability (Roulette ball not landing on red) = 1 - Probability (Roulette ball landing on red)
Probability (Roulette ball not landing on red) = 1 - (18 / 38)
Probability (Roulette ball not landing on red) = 20 / 38
Probability (Roulette ball not landing on red) = 10 / 19
Explain how to find the decimal approximation of an irrational square root using perfect squares.
Answers
Step-by-step explanation:
say if the irrational sqrt was the sqrt of 5. to find the approximation you would figure out what two perfect squares the sqrt of 5 lies between. which is sqrt of 4 and the sqrt of 9. then find the sqrt of those perfect squares which is 2 and 3. now you know that the sqrt of 5 will lie somewhere between 2 and 3.
Calculate the distance between the points H=(3,-1) and E=(8,-5) in the coordinate plane. Give an exact answer (not a decimal approximation).
Answers
Answer: [tex]\sqrt{41}[/tex]
===========================================
Work Shown:
Use the distance formula.
[tex]d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(-1-(-5))^2+(3-8)^2}\\\\d = \sqrt{(-1+5)^2+(3-8)^2}\\\\d = \sqrt{(4)^2+(-5)^2}\\\\d = \sqrt{16+25}\\\\d = \sqrt{41}\\\\[/tex]
Or you could use the pythagorean theorem, which is how the distance formula is set up.
Please Help!! The line plot shows the length of insects in inches that were collected, how much longer is the longest insect than the shortest insect?
A 6 inches
B 1 inch
C 5/8
D 6/8
Answers
Answer:
D
Step-by-step explanation:
We are a given line plot that indicates the lengths of insects and the quantity of insects that fit each length.
To determine how much longer the longest insect is than the shortest insect, we simply need to subtract the shortest into the longest.
The longest insect we have is the lone insect at 7/8 inches long.
The shortest insect measures 1/8 inches.
Therefore, the difference is:
[tex]\displaystyle \begin{aligned} \frac{7}{8} - \frac{1}{8} & = \frac{7-1}{8} \\ \\ & = \frac{6}{8} \\ \\ &\left( = \frac{3}{4}\right)\end{aligned}[/tex]
In conclusion, our answer is D.
Answer:
[tex]\Large \boxed{\mathrm{\frac{6}{8} \ inch}}[/tex]
Step-by-step explanation:
The longest insect is 7/8 inch long.
There are 4 insects that are the shortest at 1/8 inch long.
Subtract the length of the shortest insect from the longest insect.
[tex]\displaystyle \frac{7}{8} -\frac{1}{8} \\\\\\ \frac{7-1}{8} \\ \\ \\ \frac{6}{8}[/tex]
The longest insect is 6/8 inch longer than the shortest insect.
-7x=14 (no solution) a value of x that makes the equation false is...........which when simplified makes the equation into.......=........ Another value of x that makes the equation false is......which when simplified makes the equation turn into.......=.........?
Answers
Answer:
[tex]\Huge \boxed{x=-2}[/tex]
Step-by-step explanation:
[tex]-7x=14[/tex]
Dividing both sides by -7.
[tex]\displaystyle \frac{-7x}{-7} =\frac{14}{-7}[/tex]
[tex]x=-2[/tex]
There is only one solution that satisfies the equation.
Step-by-step explanation:
−7x=14
Divide ➗ both sides by -7.
x = 14/-7
x=-2
Hope this helps.........
can someone help me answer this please
Answers
Answer:
-16
Step-by-step explanation:
- ( -24/6) ^2
Simplify inside the parentheses
- ( -4) ^2
Square -4
-(16)
-16
A chi-square goodness-of-fit test shows that the frequencies observed fit well with those that were expected. Hence, the decision was to reject the null hypothesis retain the null hypothesis no decision was made.
a. True
b. False
Answers
Answer:
A chi-square goodness-of-fit test shows that the frequencies observed fit well with those that were expected. Hence, the decision was to retain the null hypothesis .
Step-by-step explanation:
A chi-square goodness-of-fit test shows that the frequencies observed fit well with those that were expected then the value of the test statistic is equal to zero.
Then the decision would be to retain the null hypotheses as zero is included in any value of the level of significance applied.
The chi square is a continuous distribution ranging from zero to plus infinity.
The number of girls in a mixed school is 420. If the ratio of boys to girls in the school is 3:2, how many students are in the school? *
Answers
[tex] \huge{ \bf{ \underline{ \underline{ \pink{Solution:}}}}}[/tex]
Let,
Number of boys be 3xNumber of girls be 2xThen, Total number of students = 3x + 2x = 5xIt is given that,
➙ Number of girls = 420
Then,
➙ 2x = 420
➙ x = 420/2 = 210
No. of boys = 3x = 630
Then,
➙ Number of students = 5x
➙ Number of students = 5(210)
➙ Number of students = 1050
ANSWER - 1050━━━━━━━━━━━━━━━━━━━━
Answer:
3+2=5 2x=120
Step-by-step explanation:
x=420/2=210 boy=3=630 no of students =5 5(210)=2050
Which figure is described below?
The locus of points 6 units from the
point (1, -2) on the coordinate plane.
Answers
Answer:
C ) circle
This equation represents circle
x²-2 x+y²+4 y - 31 =0
Step-by-step explanation:
Explanation:-
let P(x₁ , y₁) be the locus point
Let P(x₁ , y₁) and A(1,-2)
Given data PA = 6
PA² = 6²
( x₁ -1 )²+(y₁+2)² = 36
x₁²-2 x₁+1+y₁²+4 y₁ +4 = 36
x₁²-2 x₁+y₁²+4 y₁ = 36-5
x₁²-2 x₁+y₁²+4 y₁ - 31 =0
This equation represents circle
x²-2 x+y²+4 y - 31 =0
Answer:
Circle, (C)
Step-by-step explanation:
A population decreases from 14,500 to 12,035. What is the percentage change?
Answers
Answer:
Your answer is 17%
please help:) which answer represents 4.72 times 10 to the 10th power? A. 472,000,000,000 B. 4,720,000,000 C. 47,200,000,000 D. 472,000,000
Answers
Answer:
C
Step-by-step explanation:
4.72×10^10
4.72×1000000000
move the point(.) ten times to your right. after first two movements
you'll have 472 remaining 8 digits to make
47200000000
-84+39
Negative 84 plus 39 equals
Answers
Answer:
The answer is -45 but why are you asking such a easy question you can use your calculator or mobile to get the answer.Hi there! Hopefully this helps!
-----------------------------------------------------------------------------------------------------
Answer: -45~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~3/12 simplified version
Answers
Answer:
1/4
Step-by-step explanation:
divide numerator and denominator by 3
Given WZ bisects and angle XWY find the two ones not found question 30
WILL GIVE BRAINLIEST
Answers
Answer:
30). 68°
31). 35.5°
Step-by-step explanation:
Question (30).
If WZ is the angle bisector of ∠XWY.
∠XWZ ≅ ∠YWZ
Therefore, measure of both the angles will be equal.
m∠XWZ ≅ m∠YWZ = 68°
and m∠XWY = 2(68°) = 136°
Question (31)
If WZ is an angle bisector of ∠XWY,
∠XWZ ≅ ∠YWZ
Therefore,
m∠XWZ = m∠YWZ = [tex]\frac{1}{2}(m\angle XWY)[/tex]
m∠XWZ = m∠YWZ = [tex]\frac{1}{2}(71)[/tex]
m∠XWZ = m∠YWZ = 35.5°
What is a line of symmetry?
Answers
Answer:
Literally a line that shows the middle of the shape
Step-by-step explanation:
Answer:
The line of symmetry can be defined as the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves.
Step-by-step explanation:
If n = 2 + 6m and p = 2/n, what is the value of p when m = -1/2?
Answers
Answer:
p = - 2
Step-by-step explanation:
Given
n = 2 + 6m ← substitute m = - [tex]\frac{1}{2}[/tex] into the expression
n = 2 + 6(- [tex]\frac{1}{2}[/tex] ) = 2 - 3 = - 1
Thus
p = [tex]\frac{2}{n}[/tex] = [tex]\frac{2}{-1}[/tex] = - 2
Can you decimal that has repeating digits after the decimal point be converted into a fraction?
Answers
Answer:
Any Rational Number can become a fraction, which is what a repeating decimal is.
Step-by-step explanation:
In a High School, 60% of the boys play baseball and 24% of the boys play baseball and football. What is the percent of those that play football given that they
also play baseball? Record your answer and fill in the bubbles on the answer document (Enter only a number for your answer.)
Answers
Answer:
i play baseball mark me as brainliest thank my answer and rate me as a 5 because im white
Step-by-step explanation:
Fill out the boxes to demonstrate your understanding of estimating a non perfect square? Estimate V388 to the nearest whole number?
1388
А
c
m-
Final Estimate
Answers
Answer:
The final estimate of √388 is 20.
Step-by-step explanation:
The number provided is:
x = 1388
Estimate the square root of 1388 as follows:
15² = 225
16² = 256
17² = 289
18² = 324
19² = 361
20² = 400
So, we now know that the square root of 388 lies between 19 and 20.
Check for 19.5²:
19.5² = 380.25
Check for 19.6²:
19.6² = 384.16
Check for 19.7²:
19.7² = 388.09 ≈ 388
The square root of 388 is closer to 19.7 or is approximately 20.
Thus, the final estimate of √388 is 20.
Convert 100 yards into meters (1 yd = 3 ft and 1 meter = 3.28 feet)
Answers
Answer:
91.46 m
Step-by-step explanation:
3 ft 1 m
100 yards x ----------- x ------------ = 91.46 m
1 yard 3.28 ft
The required solution is 100 yard is equal to 91.46 meter.
It is required to find the required solution.
What is length?Length is defined as the measurement or extent of something from end to end. The greater of two or the greatest of three dimensions of an object. It can be measured in different units like centimeters, inches, meters, etc.
Given:
From the dimension we know that given,
1 yard = 3 feet
100 yard =3*100 feet
100 yard = 300 feet.
Also,
1 meter = 3.28feet
3.28feet= 1 meter
1 feet=1/3.28 meter
1 feet=0.304 meter
300 feet= 0.304*300 meter
300 feet= 91.46 meter
Therefore, the required solution is 100 yard is equal to 91.46 meter.
Learn more about length here:
brainly.com/question/17227982
#SPJ6
Find the area of a sector with a central angle of 140° and a diameter of 9.5 cm. Round to the nearest tenth.
2.9 cm^2
7.4 cm^2
110.3 cm^2
27.6 cm^2
Answers
Answer:
27.6 cm²
Step-by-step explanation:
The area of a sector is given by ...
A = (1/2)r²θ
where r represents the radius, and θ represents the central angle in radians.
The radius is half the diameter, so is 4.75 cm. The angle in radians is ...
(140°)(π/180°) = 7π/9
So, the sector area is ...
A = (1/2)(4.75 cm)²(7π/9) ≈ 8.77π cm² ≈ 27.6 cm²
The area of the sector is about 27.6 cm².