Answer:
-60
Step-by-step explanation:
-42+3×(-6)
-42-(3×6)
-42-18
-60
The perimeter of a rectangular flower bed is 68 feet. Find the dimensions of the flower bed if the length is 2 less than three times the width.
Answer:
Step-by-step explanation:
Perimeter of the rectangular flour = 2(Length+Width)
P = 2(L+W)... 1
If if the length is 2 less than three times the width, then L = 3W - 2.... 2
Substitute equation 2 into 1;
P =2(3W-2+W)
68 = 2(4W-2)
68 = 8W-4
8W = 68+4
8W = 72
W = 72/8
W = 9 feet
Since L = 3W-2
L = 3(9)-2
L = 27-2
L = 25
The length is 25ft and the width is 9ft
help me please i need help
Answer: x=y/(3b-7)
Step-by-step explanation:
To solve for v, you want to use algebraic properties to isolate x.
y=3bx-7x [factor out x]
y=x(3b-7) [divide both sides by 3b-7]
x=y/(3b-7)
Now, we know that x=y/(3b-7).
Answer:
3bx -7x = y
or, x(3b -7) = y
or, x= y/(3b -7)
A merchant mixed 10 lb of a cinnamon tea with 2 lb of spice tea. The 12-pound mixture cost $13. A second mixture included 16 lb of the cinnamon tea and 8 lb of the spice tea. The 24-pound mixture cost $28. Find the cost per pound of the cinnamon tea and of the spice tea.
Step-by-step explanation:
Let's say c is the price of cinnamon tea, and s is the price of spice tea.
10c + 2s = 13
16c + 8s = 28
Divide the second equation by 4:
4c + 2s = 7
Subtract from the first equation:
6c = 6
c = 1
Use any equation to find s.
s = 1.5
Therefore, the cinnamon tea costs $1 per pound and the spice tea costs $1.50 per pound.
Find the value of n so that the line perpendicular to y = (-1/4)x-1 passes through the points (n, 3) and (4,11).
Answer:
2
Step-by-step explanation:
You'll need to find the reciprocal of m. -1/4 is your is your m and when you find the reciprocal you flip the number to 4/1 or 4 and change the negative to a positive. Then graph (4,11), you don't need to worry about your y intercept, b, or -1. On your graph go down 4 and over one to the left because it's positive the line should be going like " / " <-- that. Keep going down until your y is three and whatever your x is, is your answer. Ex: (4,11) (3,7) (2,3). Hopefully, you understand :)
Which of the following equations are dimensionally consistent?
(a) x=1/2at2,
(b) t=v/x,
(c) t=(2x/a)1/2
Answer:
A. x = 1/2at²
Step-by-step explanation:
Among the equations, the equation that is dimensionally consistent is x=1/2at² where;
x is the distance in meters (dimension is length (L))
a is the acceleration in m/s² (dimension is L/T²)
t is the time in seconds (s) (dimension of time is T)
Substituting the dimensions into the formula to check if we are going to arrive at the dimension for distance;
1/2at² = 1/2(L/T²)T²
= 1/2× L/T² × T²
= 1/2 × L
Since L which is the resulting dimension is the dimension for distance (x), this means that the equation x = 1/2at² is dimensionally consistent.
A shopper paid 11/100 of a dollar for 1/16 of a kilogram of nails. What was the rate in dollars per
kilograms?
Answer:
[tex]Rate = \$1.76/kg[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{16}kg[/tex] of nails costs [tex]\$ \frac{11}{100}[/tex]
Required
Determine the rate
The rate, in this case, will be calculated as:
[tex]Rate = \frac{amount}{weight}[/tex]
[tex]Rate = \frac{\frac{11}{100}}{\frac{1}{16}}[/tex]
This gives
[tex]Rate = \frac{11}{100}/\frac{1}{16}[/tex]
[tex]Rate = \frac{11}{100} * 16[/tex]
[tex]Rate = \frac{176}{100}[/tex]
[tex]Rate = \$1.76/kg[/tex]
Answer:
Answer:
Step-by-step explanation:
Given
of nails costs
Required
Determine the rate
The rate, in this case, will be calculated as:
This gives
Step-by-step explanation:
Gerry had a coupon for $0.25 off a
frozen pizza. The grocery store
has a special triple coupon deal
and allows customers to use a
single coupon on up to five
items. By how much would his
total grocery bill change if Gerry used the coupon to buy five frozen
pizzas?
Multiply.
0.25 * 5 = $1.25 in savings
So whatever the original price was for each frozen pizza, you multiply that by 5 and subtract that by the total savings.
Best of Luck!
Answer:
1.25
Step-by-step explanation:
0.25*5
a man whose income is rupees 576 a year spends rupees 432 a year what percentage of his income does he save
Answer:
He save 25% of his income.
Step-by-step explanation:
I guess I was help full for u
plz follow me for more updates
lets take 576 as 100% so 576=100432=xfollowing unitary methodx=43200/576x=75%now saving %= 100%-75%= 25%Answer:
25%
Step-by-step explanation:
576-432=144
576=100%
144=?
144×100÷576=25%
Simplify.
4−16÷4+42
Item 5
Simplify.
4−16÷4+42
Answer:
42
Step-by-step explanation:
16 dividied by 4 is 4
4 minus 4 is 0
and 0 plus 42 is 42
Answer:
45
Step-by-step explanation:
4-16÷4+42
12÷4+42
3+42
45
Pls help... asappp pls.
There are 1,044 apartments in Baldwin County this year, which is approximately an 8.1% increase from last
year. How many apartments were there in Baldwin County last year?
Answer:
~966 apartments
Step-by-step explanation:
[tex]\frac{1044}{1.081}[/tex]
A ballroom is 60 ft long and 30 ft wide. Which of the following formulas is the correct formulas to determine the perimeter of the ballroom. a. P=2+60+2+30 b. P=60x30 c. P= 30x 30 + 60 x60 d. P= 2 x 60 + 2x 30
Answer:
The answer is D: 2 x 60 + 2 x 30
Step-by-step explanation:
The perimeter is the lengths of all the sides of a shape combined. Therefore, 60 is one side and 30 is the other side. Since the opposite sides are equal, there are two sides that equal 60 and two sides that equal 30.
So, 60 + 60 + 30 + 30.
60 + 60 = 60 x 2
30 + 30 = 30 x 2
Therefore, the answer is 60 x 2 + 30 x 2.
HELLLLLLLLPPPP PLEEEAAASSSSSSEEEEEE
Answer:
1 and 8 , and 4 and 8 are congruent
The rest are supplementary
Step-by-step explanation:
B = 6/13 Y +12 Solve for y
Answer:
y = (13/6)(b - 12)
Step-by-step explanation:
b = 6/13 y + 12
Subtract 12 from both sides.
b - 12 = 6/13 y
Multiply both sides by 13/6.
(13/6)(b - 12) = y
y = (13/6)(b - 12)
Which of the numbers 8,9, or 10 is the solution to 70=8-x
Answer:
Step-by-step explanation:
Add x to both sides.
70 +x = 8
Subtract 70 from both sides.
x = 8 - 70
x = - 62
None of the answers fit.
Which of the following best describes the number shown below?
0.898989...
A. Rational
B. Neither Rational nor Irrational
C. Both Rational and irrational
D. Irrational
Answer:
Step-by-step explanation:
0.898989..... is a rational number because it has a terminating decimals
Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, critical value(s), and state the final conclusion that addresses the original claim. A simple random sample of 25 filtered 100mm cigarettes is obtained, and the tar content of each cigarette is measure. The sample has a mean of 19.4 mg and a standard deviation of 3.52 mg. Use a 0.05 significance level to test the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg, which is the mean for unfiltered king size cigarettes. What do the results suggest about the effectiveness of the filters? What are the hypotheses? Identify the test statistic. Identify the P-value Identify the critical value(s). State the final conclusion that addresses the original claim. A. Fail to reject H0. There is insufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg. B. Reject H0. There is sufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg. C. Fail to reject H0. There is sufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg. D. Reject H0. There is insufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg. What do the results suggest, if anything, about the effectiveness of the filters? A. The results are inconclusive because the sample size is less than 30. B. The results suggest that the filtered cigarettes have the same tar content as unfiltered king size cigarettes. C. The results do not suggest that the filters are effective. D. The results suggest that the filters are effective. E. The results suggest that the filters increase the tar content.
Answer:
1) Option A: Fail to reject H0. There is insufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg.
2)Option D: The results suggest that the filters are effective
Step-by-step explanation:
We are given;
Sample size; n = 25
Sample mean; x' = 19.4 mg
Standard deviation; s = 3.52 mg
Population mean; μ = 21.1 mg
Let's state the hypotheses;
Null Hypothesis;H0: μ = 21.1 mg
Alternative Hypothesis; Ha; μ < 21.1 mg
Now, since sample size is less than 30,we will use a t-test.
Thus;
t = (x' – μ)/[s/√(n)]
t = (19.4 - 21.1)/(3.52/√25)
t = -2.415
Using an online p-value from t-score calculator as attached with the parameters t = -2.415, DF = 25 - 1 = 24, significance level = 0.05, one tailed, we have;
The p-value is 0.011885.
The calculated p-value is less than the significance level of 0.05. Thus, we will fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg.
Help...giving 20 points
Answer:
A.) Cuberoot of 2
B.) (m-3)^ 1/2
C.) Cuberoot of 2² or simple Cuberoot of 4
D.) m^1/2 - 3
E.) Squaroot of 2
Step-by-step explanation:
Solve the equation.
1/4x-9=3/8x
Select the correct choice below and fill in any answer boxes in your choice.
A. The solution set is . (Simplify your answer.)
B. There is no solution.
Hope you liked that.
solve for x 4x+15=71
Answer:
x=14
Step-by-step explanation:
4x +15 =71
4x =71 - 15
4x =56
x=56 :4
x=14
4 ×14 +15 =71
56 +15 =71
71 =71
Answer: X=14
Step-by-step explanation: Plug 14 in for x. 4*14 equals 56. 56+15 equals 71. and 71=71.
In 35 divided by 5, 5 is the dividend, quotient, or divisor
Answer:
Divisor
Step-by-step explanation:
. 4 1/5÷2/3 Express your answer as a mixed number in simplest form. Enter your answer in the box.
Answer:
6 3/10.
Step-by-step explanation:
4 1/5 = 21/5
21/5 / 2/3
=21/5 * 3/2
= 63/ 10
= 6 3/10.
Given the points A(-5, -6) and B(8, 2), if C is the midpoint of segment AB, find the coordinates of the midpoint of segment CB
help me plz 50 points and ill give brainliest if you answer all
Answer:
11) [tex]2x=-4[/tex]
Divide both sides by 2:
[tex]\frac{2x}{2}=\frac{-4}{2}[/tex]
[tex]x=-2[/tex]
12) [tex]2^3\cdot \:2^1=2^{3+1}=2^4[/tex]
([tex]2^4=16)[/tex] if you wanted the exact value.
13) [tex]-3+10=x[/tex]
Switch sides:
[tex]x=-3+10[/tex]
Rearrange:
[tex]x=10-3[/tex]
[tex]x=7[/tex]
14) [tex]10^2-64[/tex]
[tex]10*10-64[/tex]
[tex]100-64[/tex]
[tex]36[/tex]
15) [tex]\sqrt{100}-5^2[/tex]
[tex]10-5^2[/tex]
[tex]10-5*5[/tex]
[tex]10-25[/tex]
[tex]-15[/tex]
16) [tex]\frac{1}{4}x=-10[/tex]
Multiply both sides by 4:
[tex]4\cdot \frac{1}{4}x=4\left(-10\right)[/tex]
[tex]x=-40[/tex]
17) [tex]\left(2^3\right)^2=2^{3*2}=2^6[/tex]
[tex](2^6=64)[/tex] if you wanted the exact value.
18) [tex]\left(2^3\right)\left(2^2\right)=2^{3+2}=2^5[/tex]
[tex](2^5=32)[/tex] if you wanted the exact value.
Bonus Question:
Terrorist attacks took place against the United States in September 11 2001.
This is named "September 11 attacks" and you can search more about it online.
Answer:
10. x = -2
12. 16
13. x = 7
14. 36
15. -15
16. x = -40
17. 64
18. 32
Friday 9/11 The plane hijackings that struck the World Trade Center, the Pentagon, and a Pennsylvania field killed 2,977 people.
Step-by-step explanation:
What is 1+1 this is for those who need to answer questions to ask a question
Answer:
2
Step-by-step explanation:
1+1=2
(thank you dude!)
Answer:
2, and thank youuu:)
Step-by-step explanation:
I need Help what’s is value of X
Answer:
56
Step-by-step explanation:
Answer:
The answer to your question is 56.
D
Franklin needs 2.75 cups
of flour for every 1.5 cups
of sugar in his cookie
recipe. This will yield 3.5
dozen cookies. What is the
unit rate for sugar per
cookie? Round your
answer to the tenths place.
1.3 cups of sugar
Find the equation of the line that is perpendicular to -x+2y=11 and passes through the point (6,-5).
Step-by-step explanation:
m=-2
y+5=2(x-6)
y+5=2x-12
y=2x-17
Answer:
Step-by-step explanation:
2y = x + 11
y = 1/2x + 11/2
perp. -2
y + 5 = -2(x - 6)
y + 5 = -2x + 12
y = -2x + 7
I really need help on this question
Answer:
Answer:answer is 6.5
Answer: so please mark as brainlestGiven that Cheryl is collecting data on car color, what type of data is she working with?
a. qualitative
b. discrete quantitative
c. continuous quantitative
d. none of the above