Answer:
Well on of the properties states that unless there are parenthesis, you multiply and divide first then you add and subtract. So, first we multiply 28*4 and that leaves use with 112, now if there is no more multiplication, division, or parentheses, and there's not. We can continue all we do is add 18+112 and we get our answer of 130.
Answer: Use the distributive property and expand 28, then distribute the 4 to 20 and the 4 to 8. Then you have 18 + 80 + 32. Use commutative property to reverse the order of 32 and 80 so that 18 and 32 are friendly numbers to add.
(2, 1), (0, -7)
Write an equation of the line that passes through the given points
Answer:
y=4x-7
Step-by-step explanation:
We know that the y intercept is -7 so we can have y=mx-7
And we can get the slope by using the slope formula (y2-y1)/(x2-x1)=m
(2,1) (0,-7)
x1 y1 x2 y2
(-7-1)/(0-2)
-8/-2 = 4
m=4
So just plug it into the equation to get:
y=4x-7
Answer:
y = 4x - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the t- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (0, - 7)
m = [tex]\frac{-7-1}{0-2}[/tex] = [tex]\frac{-8}{-2}[/tex] = 4
The line crosses the y- axis at (0, - 7) ⇒ c = - 7
y = 4x - 7 ← equation of line
The measures of the angles of a triangle solve for X
Answer:
x = 7
Step-by-step explanation:
Because this is a right triangle, one angle is a right angle (90°). All triangles have all three angle measures adding up to 180°, so the other two angles' measures add up to 90° (90 + 90 = 180).
Combine like terms of the angle measures.
6x + 9x = 15x
-3 + (-12) = -15
15x - 15
Because the sum of the measures of the two angles have to equal 90,
15x - 15 = 90
Add 15 from both sides.
15x = 105
Divide both sides by 15.
x = 7
To check, substitute 7 in both expressions.
6(7) - 3 = 39
9(7) - 12 = 51
39 + 51 + 90 (the measure of the right angle) = 180, so the value of x is 7.
I hope this helped :)
Experts estimate that when levees break in the aftermath of a hurricane, water can flow into a city at a peak rate of 8 billion gallons per
day. There are 7.5 gallons in 1 cubic foot.
Use this information to complete parts (a) and (b) below.
(A) find the flow rate in units of cubic feet per second, compare this flow rate to a river with an average flow rate of 30,000cfs.
— the flow rate is ___ cfs, which is approximately ___% if the flow rate of river.
(B) the water level rose approximately ___ ft.
Full question:
Experts estimate that when levees break in the aftermath of a hurricane, water can flow into a city at a peak rate of 8 billion gallons per day. There are 7.5 gallons in 1 cubic foot. Use this information to complete parts (a) and (b) below. Click the loon to view the USCS measurements a. Find the flow rate in units of cubic feet per second (cs). Compare this flow rate to a river with an average flow rate of 30,000 cfs. The flow rate is cfs, which is approximately % of the flow rate of the river (Round to the nearest whole number as needed.) b. Assume that the flooded part of the city had an area of 8 square miles Estimate how much in foot) the water level rose in one day at the given flow rate. The water level rose approximately (Round to the nearest tenth as needed.)
Answer and explanation:
Peak rate= 8 billion gallons per day
7.5 gallons = 1 cubic feet
Given that
8 billion gallons= 24 hrs
And 24 hrs = 86400 seconds
8 billion gallons =86400 seconds
In one second =8000,000,000/86400
= 92,592.593 gallons
Units of cubic feet per second =92592.593/7.5= 12345.68 cubic feets
Therefore the flow rate in cubic feet per second = 12345.68 cubic feets
If we compare this to 30000 cubic feet per second flow rate of the river, it would be 12345.68/30000*100/1= 41.152% of the flow rate of the river
B) Given that the total cubic feet per day =86400*12345.68= 1066666752 cubic feet
And 1 mile = 5280 feet
1 square mile = 27878400 square feet
8 square miles = 8 × 27878400 = 223027200 square feet
To calculate the height,
The number of foot by which the water level rose in one day is
1066666752/223027200 = 4.7826 feet per day
write a conditional statement from each given statement.
Congruent segments have equal measures.
Answer:
Our conditional statement should be written as:
'If they are congruent segments, then they have equal measures'.
Step-by-step explanation:
When we talk about conditional statements, it means we are about the statements which should contain 'if' and 'then'.
We need to recognize the hypothesis - conditions - and the conclusion - result - in the sentence. Then we should mention it as an 'if', and 'then' statement.In our example, our hypothesis must be 'if they are congruent segments' and the conclusion should be 'then they have equal measures'.
Therefore, we conclude that our conditional statement should be written as:
'If they are congruent segments, then they have equal measures'.
Enter the first four terms.
Answer:
1/2, 2, 9/2, and 8.
Step-by-step explanation:
In this case, we have an explicit rule.
So, to find the nth term, we can simply substitute a value into our function and evaluate.
For the first term, n=1. Thus:
[tex]f(1)=\frac{(1)^2}{2}[/tex]
Evaluate:
[tex]f(1)=\frac{1}{2}[/tex]
Hence, our first term is 1/2.
For the second term, n=2. Thus:
[tex]f(2)=\frac{(2)^2}{2}[/tex]
Evaluate:
[tex]f(2)=\frac{4}{2}=2[/tex]
Hence, the second term is 2.
For the third term, n=3. Thus:
[tex]f(3)=\frac{3^2}{2}=\frac{9}{2}[/tex]
So, the third term is 9/2.
And for the fourth term, n=4. Thus:
[tex]f(4)=\frac{4^2}{2}=\frac{16}{2}=8[/tex]
Therefore, the fourth term is 8.
Hence, our first four terms are: 1/2, 2, 9/2, and 8.
Assume a random sample of the birth weights of 186 healthy babies has a mean of 3103 g and a standard deviation of 696 g. Construct a 95% confidence interval estimate of the mean weight of all healthy babies born to healthy mothers. What does the interval suggest about a recent study informing soon-to-be-parents that they can expect their new baby to weigh about 2980 g?
3002 g < μ < 3204 g; the 2980 g weight is less than the range values of the interval; however, it is close to the interval and could therefore easily represent an expected mean weight of new babies.
3002 g < μ < 3204 g; the 2980 g weight falls below the interval, suggesting that it is unlikely to be an expected value and is likely too low to represent an accurate population mean.
2879 g < μ < 3080 g; the interval suggests 3103 g is not a likely mean, proving the sample is biased; the recent study should be used as a basis for estimating new birth weights.
2879 g < μ < 3080 g; the 2980 g weight falls comfortably in the interval, which suggests that 2980 g is very likely to represent an accurate population mean of birth weights.
Answer:
Its B
Step-by-step explanation:
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently.
Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300.
Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn.
Salesman C does not earn any commission. His weekly salary is $900.
Suppose Salesmen A and B have the same number of sales and earn the same amount in Week 4 of this month. How many sales must they both have had?
sales
Answer:
12 sales
Step-by-step explanation:
a and b
65 per sale maximum commision 1300 so no base
40 per sale base 300
Set up equation:
[tex]65x=40x+300[/tex]
Solve:
[tex]25x=300[/tex]
[tex]x=12[/tex]
So they must have had 12 sales.
Hope this helps :D
Find the number,if 1/5 of it is 15
Answer:
The number is 75
Step-by-step explanation:
Let x be the unknown number
of means multiply and is means =
1/5 x = 15
Multiply each side by 5
5 * 1/5 x = 5*15
x = 75
Answer:
75
Step-by-step explanation:
what is 9 as a decimal?
Answer:
0.09 is 9 as a decimal
11. Choose the correct solution and graph for the inequality.
Y+1/5>1/3
Answer:
[tex]y > \frac{2}{15} [/tex]
please answer this math question
Luis
Ana
Javier
Precio ($)
100
140
80
Sarape
10
90
50
Aretes
4
Descuento ($)
Precio rebajado ($)
Precio ($)
Descuento ($)
Precio rebajado ($)
Precio ($)
Descuento ($)
6
Blusa
00
Precio rebajado ($)
45
63
Answer:
Espero y esto te ayude :) si me falto algo lo siento.
Step-by-step explanation:
Si se oferta un producto al 10% de descuento, esto significa que el precio final del producto será 90% del precio original. Para hallar estos datos, debemos usar una regla de tres, de la siguiente forma:
100% 90%
-------------------- → ---------------------------
Precio Original Precio con Descuento?
SARAPES
- Ana: descuento (14), precio rebajado 126
Precio rebajado = 140.90 / 100 = 126
Descuento: 140 - 126 = 14
- Javier: descuento (8), precio rebajado 72
Precio rebajado = 80.90 / 100 = 72
Descuento: 80 - 72 = 8
ARETES
- Luis: descuento (5), precio rebajado 72
Precio rebajado = 50.90 / 100 = 45
Descuento: 50 - 45 = 5
- Ana: Precio original (60) , descuento (6), precio rebajado 54
Precio original: X.0,10 = 6
X = 60
Precio rebajado: 60 - 6 = 54
- Javier: Precio original (40) , descuento (4), precio rebajado 36
Precio original: X.0,10 = 4
X = 40
Precio rebajado: 40 - 4 = 36
2. The amount of your bill is $3.10. You give the cashier $5.00. Complete
the table to show how the cashier might return the change.
+
Coins Given to
Convenient Amount
Customer
Reached
The bill is $3.10.
a1 nickel
dimes
$5.00
Pls help
Step-by-step explanation:
I add the $3.10 with the $5.00 add I get $8.1 that's what I get for my answer I hope you it helps you out
The ratios of the measure of two supplementary angles is 5:7. What is the
measure of the larger angle?
Answer:
105 degrees
Step-by-step explanation:
You first add 5 and 7 which gives you 12. Then, since two supplementary angles add up to 180, you divide 180 by 12 which gives you 15. Next, since 7 is the larger of the two, multiply 7 by 15 giving you 105. To check your work, subtract 105 from 180 giving you 75. Next, put this as a fraction- 75/105 and simplify giving you 5/7 which can also be written as 5:7.
n (blank exponent) = 1/64 when n = 1/4
Answer:
The blank exponent is 3
Step-by-step explanation:
It is given that n^x=1/64 where n=1/4
1/4^x=1/64
1/4*1/4*1/4=1/64, so x=3 works as a solution. You could use logarithms, but it makes things more difficult, especially in this case.
There are 18 girls in Mr. Brimley's math class. If 60% of the
students are giris, how many students are in Mr. Brimley's
math class?
A=18
B=27
C=30
D=36
Answer:
30
Step-by-step explanation:
look it up online
find the value of :x^2+2xy+y^2-3x-3y-1
have: x^2-y=y^2-x (x[tex]\neq[/tex]y)
Answer: The answer is x^2+2xy+2y^2–3x–3y–1
Step-by-step explanation: Move 2 to the left of y^2.
Please help! Due tonight!
Answer:
D) x= square root of 89
Step-by-step explanation:
To find the missing side, use the equation a^2+b^2=c^2. You would plug 5 in for a to get 25 and 8 in for b to get 64. You would add those to get that 89 is equal to c^2 so you would get c by itself and and find that the answer is D. :)
Use the table to find the ratio. Enter the ratio as a fraction in simplest form.
Color of socks white black blue brown
Number of socks 5 8 4 6
The ratio of blue socks to nonblue socks is
Answer:
4/19
Step-by-step explanation:
Caroline , Colin and Sarah Share some money , Caroline gets 1/10 of the money. Colin and Sarah Share the rest in the ratio 2:7 what proportion does Colin gets?
Answer:
1/5
Step-by-step explanation:
10/10-1/10=9/10=Colin and Sarah share
2x+7x=9x=Colin and Sarah share
9x=9/10
x=1/10
Colin=2x=2/10=1/5
The ratio shows how many times one value is contained in another value.
The proportion that Caroline gets is 1/10.
The proportion that Colin gets is 2/10.
The proportion that Sarah gets is 7/10.
So,
The proportion that Colin gets is 7/10 of the money.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
Let the total amount of money be 1.
Caroline:
Share = 1/10 of the money
Remaining money:
= 1 - 1/10
= 9/10
Colin and Sarah:
Share = 2:7
Colin share = 2/9 x 9/10 = 2/10
Sarah share = 7/9 x 9/10 = 7/10
The proportion that Caroline gets is 1/10.
The proportion that Colin gets is 2/10.
The proportion that Sarah gets is 7/10.
Thus,
The proportion that Colin gets is 7/10 of the money.
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72.50$ markup 30% plz
Answer:
$94.25
Step-by-step explanation:
You would also have a $21.75 profit
Answer:
$94.25
Step-by-step explanation:
72.5*0.3=21.75
21.75+72.5=94.25
somebody please help i made this worth 50 points i need help on a transversals test
Answer:
I do not know what this is
Step-by-step explanation:
please help me with this! this was due yesterday and i need to get it done but im stuck on this question
Answer:
60* and 30*
Step-by-step explanation:
If two angles are complementary then they will add up to be 90, or inversely, if two angles add up to be 90, then they are complementary. If you know one acute angle, you can calculate its complementary angle by subtracting 90 and the angle.
Answer:
m<qrt and m<trv because complementary angles add up to 90 degrees :)
» Avery states that the graph of g is the same as the graph of f with every
point shifted vertically. Cindy states that the graph of g is the same as the
graph of f with every point shifted horizontally.
f(x)=2x+1
g(x)=2x+3
Give an argument to support Avery’s answer
Give an argument to support Cindy’s statement
Answer:
Avery is right, because [tex]g(x) = f(x)+2[/tex].
Cindy is right, because [tex]g(x) = f(x+1)[/tex].
Step-by-step explanation:
Let [tex]f(x)[/tex] and [tex]g(x)[/tex] functions, then [tex]g(x)[/tex] is the vertical translated version of [tex]f(x)[/tex] if and only if:
[tex]g(x) = f(x)+k[/tex], [tex]\forall \,k\in \mathbb{R}[/tex]
[tex]k = g(x)-f(x)[/tex]
If we know that [tex]f(x) = 2\cdot x + 1[/tex] and [tex]g(x) = 2\cdot x + 3[/tex], then:
[tex]k = (2\cdot x + 3) - (2\cdot x +1)[/tex]
[tex]k = 2[/tex]
Then, Avery is right, because [tex]g(x) = f(x)+2[/tex].
Let [tex]f(x)[/tex] and [tex]g(x)[/tex] functions, then [tex]g(x)[/tex] is the horizontal translated version of [tex]f(x)[/tex] if and only if:
[tex]g(x) = f(x+k)[/tex], [tex]\forall \,k\in \mathbb{R}[/tex]
If we know that [tex]f(x) = 2\cdot x + 1[/tex] and [tex]g(x) = 2\cdot x + 3[/tex], then:
[tex]g(x) = 2\cdot x + 3[/tex]
[tex]g(x) = 2\cdot x + 2 + 1[/tex]
[tex]g(x) = 2\cdot (x+1)+1[/tex]
[tex]g(x) = f(x+1)[/tex]
Then, Cindy is right, because [tex]g(x) = f(x+1)[/tex].
Is there a proportional relationship between time and the cost of the cell phone plan?
Answer:
no
Step-by-step explanation:
is it grabbed or grab in this sentence
Answer:
grabbed
Step-by-step explanation:
just lose the is
2 bags of cat food cost $8.50, how much would 5 bags of cat food cost ?
Answer:
$42.05
Step-by-step explanation:
First do $8.50/2=4.25
This means that one bag of cat food is $4.25
Now you multiply 5*4.25=$21.25,
I hope this helps and is correct!
4.62 x 108 tins of beans were sold last year.
These tins of beans cost a total of £300.3 million.
Work out the average cost per tin of beans.
Step-by-step explanation:
If that says 4.62x10⁸, then you would do
300,300,000/4.62x10⁸
where you would get 0.65
so the average cost per tin of beans is 65p
The average cost of each tin of beans = 0.602 million per tin.
Calculation of average costThe total tin of beans sold last year = 4.62 x 108+
= 498.96
The total cost of the beans sold last year = £300.3 million
If 498.96 tins = £300.3 million
1 tin of beans = £X
Make £X the subject of formula,
£X = £300.3 million/498.96
£x = 0.602 million
Therefore, the average cost of each tin of beans = 0.602 million per tin.
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Which equation has the steepest parabola?
A. (x+2)2=−0.5(y+3)
B. (x−1)2=5(y+3)
C. x2=8(y−1)
D. (x+2)2=−10y
Given:
The equations of parabolas in the options.
To find:
The steepest parabola.
Solution:
We know that, if a parabola is defined as
[tex](y-k)=n(x-h)^2[/tex]
Then, the greater absolute value of n, the steeper the parabola.
It can be written as
[tex]\dfrac{1}{n}(y-k)=(x-h)^2[/tex]
[tex]p(y-k)=(x-h)^2[/tex]
where [tex]p=\dfrac{1}{n}[/tex], the smaller absolute value of p, the steeper the parabola.
Now, find the value of |p| for eac equation
For option A, [tex]|-0.5|=0.5[/tex]
For option B, [tex]|5|=5[/tex]
For option C, [tex]|8|=8[/tex]
For option D, [tex]|-10|=10[/tex]
Since, the equation is option A has smallest value of |p|, therefore, the equation [tex](x+2)^2=-0.5(y+3)[/tex] represents the steepest parabola.
Hence, the correct option is A.
Write the following expression in words x+7
Answer:
The sum of 7 and x.
Step-by-step explanation:
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