Answer:
40 dollars
Step-by-step explanation:
We can use a ratio to solve the problem
5 pounds 50 pounds
---------------- = -----------------
4 dollars x dollars
Using cross products
5 * x = 4 * 50
5x = 200
Divide by 5
5x/5 = 200/5
x = 40
40 dollars
Step-by-step explanation:
[tex]\sf 5 \: pounds \longrightarrow 4 \: dollars[/tex]
[tex]\sf 1\: pounds \longrightarrow \dfrac{4}{5} \: dollars[/tex]
[tex]\sf 50\: pounds \longrightarrow \dfrac{4}{5}×50 \: dollars[/tex]
[tex]\sf \longmapsto 40 \: dollars[/tex]
2. The number of hours you study for an exam impacts your grade. What is a reasonable value of the range?
70
-8
1.75
1/6
Answer:
62.
Step-by-step explanation:
because I subtract 70 to 8 equal to 62
Answer:
I think
Step-by-step explanation:
I think 62 hope you have a good day
the mean of the data set is 18. what number is missing? 21,11,_,27,22,13,16
The missing number given the mean of the data set is 16.
What is the missing number?Mean is the average of a data set. It is determined by adding all the numbers in the data set and dividing the sum by the numbers in the data set.
Missing number = (mean x total number in the data set) - sum of numbers in the data set
(18 x 7) - ( 21 + 11 + 27 + 22 + 13 + 16)
126 - 110
= 16
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» Solve the equation 9(k − 2) = −6.
-
k = 1
Answer:
False
Step-by-step explanation:
9(k-2)=-6 and k=1
9(1-2)=-6
9(-1)=-6
-9=-6
No, -9 doesn't equal -6.
So this system of equations is false.
Hope this helped! :)
Find y. Give your answer in the simplest form.
Step-by-step explanation:
you use Sin60 to find y because Sin60=
[tex] \frac{y}{8} [/tex]
Please help with question 2, 3 and possibly 4 if you can.
The solution of the inequality are (iii) and (iv)
The solution of the equality is x = 8.
The solution of the equality is x = 0.
How to solve inequality ?The solutions of the inequalities can be found as follows:
x³ + 3(5 - 2) ≥ 20 - 4
x³+ 3(3) ≥ 16
x³+ 9 ≥ 16
x³ ≥ 16 - 9
x³ ≥ 7
x ≥ ∛7
x ≥ 1.9
Therefore, (iii) and (iv) are solution.
4(72 - x²) = 3.12 - 4
288 - 4x² = 36 - 4
288 - 4x²= 32
-4x² = -256
x²= 256 / 4
x²=64
x= √64
x= 8
7(x + 12) = 7.12
7x + 84 = 84
7x= 84 - 84
7x= 0
x = 0
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Samples of size n = 60 are randomly selected from the population of numbers (0 through 9) produced by a random-number generator, and the mean is taken for each sample. What is the distribution of the sample means?
The distribution of the sample means when the samples of size n = 60 are randomly selected from the population is normal (approximately).
How is the sample explained?Calculating the sample mean is as simple as adding up the number of items in a sample set and then dividing that sum by the number of items in the sample set.
Here, the distribution of the sample means when the samples of size n = 60 are randomly selected from the population is normal (approximately).
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A line connecting the points (-3,0) and (x, -6)has slope -1. Determine x.
Answer:
x=3
Step-by-step explanation:
We can use the slope formula to help complete this question
m = (y2-y1)/(x2-x1)
-1 = ( -6-0)/(x- -3)
-1 = -6/ (x+3)
Multiply each side by (x+3)
-x-3 = -6
Add 3 to each side
-x -3+3 = -6+3
-x =-3
Multiply each side by -1
x = 3
Answer:
x = 3
Step-by-step explanation:
The given slope and point can be used to write the equation of the line using the point-slope form. To find x for a given y, we can solve that equation.
__
setupThe point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
For (h, k) = (-3, 0), and m = -1, the equation is ...
y -0 = -1(x -(-3))
y = -x -3
We want x when y = -6, so this becomes ...
-6 = -x -3
solutionAdding x+6 to both sides of the equation, we get ...
(x +6) -6 = -x -3 +(x +6)
x = 3 . . . . . . . simplify
what is the slope of the line shown below?
Answer:
C. 2
Step-by-step explanation:
Gradient = [tex]\frac{change in y}{change in x}[/tex]
Gradient = [tex]\frac{6}{3}[/tex]
Gradient = 2
help me thank youuu!
Answer:
D) 5
Step-by-step explanation:
Because 5x5=25 so the square root would be 5
Drag one comparison statement into each box below to make a true statement. Each comparison statement may be used once, more than once, or not at all.
The inequalities are; 5¹/₄ tons = 10500 pounds; 1/2 ton + 3/4 ton > 2800 pounds; 2 tons > 60000 pounces; 1¹/₄tons > 20000 ounces
How to find Inequalities?
1) 5¹/₄ tons when converted to pounds is 10500 pounds.
Thus; 5¹/₄ tons = 10500 pounds.
2) 1/2 ton + 3/4 ton = 5/4 tons
Converting 1.25 to tons gives 2500 tons. Thus;
1/2 ton + 3/4 ton > 2800 pounds
3) Converting 2 tons to Ounces gives 64000 ounces. Thus;
2 tons > 60000 pounces.
4) 1¹/₄tons - ¹/₂ton = ³/₄ tons
Converting to ounces gives 24000 ounces
Thus; 1¹/₄tons > 20000 ounces
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Find the exact value of each expression.
sin0 , if cos 0 =3/5 and 270° ≤0 ≤360°
[tex]\text{Given that,}\\\\~~~~~~~~\cos \theta = \dfrac 35\\\\\implies \cos^2 \theta = \dfrac 9{25}\\\\\implies 1-\sin^2 \theta = \dfrac{9}{25}\\\\\implies \sin^2 \theta = 1-\dfrac{9}{25}\\\\\implies \sin^2 \theta = \dfrac{16}{25}\\\\\implies \sin \theta = \pm\sqrt{\dfrac{16}{25}}\\\\\implies \sin \theta = \pm\dfrac 45\\\\\text{Given that,}~ 270^{\circ} \leq \theta \leq 360^{\circ}, \text{So}~ \theta ~ \text{lies in fourth quadrant.}\\\\[/tex]
[tex]\text{Which means that}~ \sin \theta ~ \text{will be negative.}\\\\\text{Hence,}~ \sin \theta = -\dfrac 45[/tex]
please help me Im almost done
Answer:
[tex]\mathsf {x = 76}[/tex]
Step-by-step explanation:
The given pair of angles lie on a line, hence they are classified as linear angles. They possess the property by which their sum is equal to 180°.
[tex]\textsf {Solving :}[/tex]
[tex]\implies \mathsf {x + 17 + 87 = 180}[/tex]
[tex]\implies \mathsf {x + 104 = 180}[/tex]
[tex]\implies \mathsf {x = 180 - 104}[/tex]
[tex]\implies \mathsf {x = 76}[/tex]
What are the coordinates of the point on the directed line segment from (−3,8) to (6, -4) that partitions the segment into a ratio of 1 to 5?
let's say the segment is A(-3,8) and B(6,-4) and point C splits it on a 1:5 ratio from A to B, let's check for C coordinates.
[tex]\textit{internal division of a line segment using ratios} \\\\\\ A(-3,8)\qquad B(6,-4)\qquad \qquad \stackrel{\textit{ratio from A to B}}{1:5} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{1}{5}\implies \cfrac{A}{B} = \cfrac{1}{5}\implies 5A=1B\implies 5(-3,8)=1(6,-4)[/tex]
[tex](\stackrel{x}{-15}~~,~~ \stackrel{y}{40})=(\stackrel{x}{6}~~,~~ \stackrel{y}{-4})\implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-15 +6}}{1+5}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{40 -4}}{1+5} \right)} \\\\\\ C=\left(\cfrac{-9}{6}~~,~~ \cfrac{36}{6} \right)\implies C=\left( -\cfrac{3}{2}~~,~~6 \right)[/tex]
What division problem does this area model represent?
Answer:
2,160 ÷ 36 = 60
Step-by-step explanation:
The division problem that this area model represents is,
2,160 ÷ 36 = 60
HELP ASAP!!!!!!!!!!!
Answer:
a) ΔCED ~ ΔCAB
b) 157.5 m
Step-by-step explanation:
The similarity statement for geometric figures lists the corresponding vertices in the same order. Corresponding sides of similar figures are proportional. That fact can be used to find the missing side length.
__
a)The right angles are corresponding. Angle C corresponds to itself, so the similarity statement can be written ...
ΔCED ~ ΔCAB
__
b)Corresponding sides are proportional, so we can write ...
AB/AC = ED/EC
AB/(50+160) = 120/160 . . . . . using the numerical values
AB = 210 × 120/160 = 157.5 . . . meters
The length of the lake is 157.5 meters.
X=
08
09
0 10
4
10 X
Answer:
8
Step-by-step explanation:
Intersecting Chords Formula:
(segment piece) x (segment piece) = (segment piece) x (segment piece)
5*x = 4*10
5x = 40
Divide by 5
5x/5 = 40/5
x = 8
The graph represents a person’s heart rate in beats per minute during 30 minutes of exercise.
A graph titled Cardiac Exercise. The horizontal axis shows time (minutes), numbered 3 to 30, and the vertical axis shows Heart Rate (b p m) numbered 15 to 150. The line starts at 75 b p m in 0 minutes, to 135 b p m from 6 to 25 minutes, and ends at 105 b p m at 30 minutes.
Which statement best describes the relationship between heart rate and time during exercise?
The heart rate increases for 6 minutes, remains constant for 19 minutes, and then gradually increases for 5 minutes.
The heart rate decreases for 6 minutes, remains constant for 19 minutes, and then gradually increases for 5 minutes.
The heart rate increases for 6 minutes, remains constant for 19 minutes, and then gradually decreases for 5 minutes.
The heart rate remains constant for 6 minutes, increases for 19 minutes, and then gradually decreases for 5 minutes.
Answer:
the heart rate increases for 6 minutes, remains constant for 19 minutes ,and then gradually decreases for 5 minutes
The area of Louisiana is approximately 4 x
104 square miles. The area of the United
States is approximately 225 times greater
than the area of Louisiana. What is the
approximate area of the United States?
Answer:
93,600
Step-by-step explanation:
4x104= 416
416x225 = 93,600
Combine like terms to simplify the expression:
-50 m+ 10-3 m+ (-13) =
[tex] - 50m + 10 - 3m + ( - 13) \\ - 50m + 10 - 3m - 13 \\ - 53m - 3[/tex]
Hope it helps
please give brainliest
4(x-5)-(6x + 1)= 2x -19
Answer:
Step-by-step explanation:
Comment
I take it you want the value for x.
Solution
4(x-5)-(6x + 1)= 2x -19 Remove the Brackets.
4x - 20 - 6x - 1 = 2x - 19 Combine like terms
-2x - 21 = 2x - 19 Add 2x to both sides
-2x-21+2x = 2x + 2x - 19 Combine
-21 = 4x - 19 Add 19 to both sides
-21+19 = 4x -19 + 19 Combine like terms
-2 = 4x Divide by 4
-2/4 = x
x = - 1/2
Answer: x = - 1/2
or x = -0.5
Nala wants to find out if the quadrilateral shown is a rectangle. Nala's plan: • Find the slopes of all four sides. • See if there are two pairs of equal slopes. • See if there are two pairs of slopes that are negative reciprocals. Will her plan work? Why or why not?
Checking if the two pairs of slopes are negative reciprocal will help he determine if the lines are perpendicular to each other. Therefore her plan will work.
Proof for a quadrilateral
A quadrilateral are shapes with 4 sides. A rectangle is a quadrilateral with 2 parallel sides.
According to Nala's plan to find out if the quadrilateral shown is a rectangle, she can do the following;
See if there are two pairs of equal slopesSee if there are two pairs of slopes that are negative reciprocalChecking if the two pairs of slopes are negative reciprocal will help he determine if the lines are perpendicular to each other.
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Problem #2
Using the perpetual inventory system, journalize the entries for the following transactions:
a) Sold merchandise on account for $12,000, terms 1/10, n/30. The cost of the merchandise sold was $6,500.
b) Sold merchandise on account for $9,500 to customers who used a VISA card. The cost of the merchandise sold was
$5,300.
c) The customer in a) returned merchandise which was sold for $1,000 and that we had purchased for $780.
d) Purchased merchandise on account for $8,500, credit terms 1/15, n 45, FOB destination. The appropriate company paid
the Freight costs of $500.
The perpetual inventory system is an inventory management method that records when stock is sold or received in real-time.
How to depict thejournal?
a. Debit Accounts Receivable 12000
Credit Sales 12000
Debit Cost of Merchandise Sold 6500
Credit Merchandise Inventory 6500
b. Debit Cash 9500
Credit Sales 9500
Debit Cost of Merchandise Sold 5300
Credit Merchandise Inventory 5300
c. Debit Cash 2900
Credit Sales 2900
Debit Cost of Merchandise Sold 1700
Credit Merchandise Inventory 1700
d. Debit Credit Card Expense 385
Credit Cash 385
e. Debit Credit Card Expense 75
Credit Cash 75
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solve u^2 = -4, where u is a real number. Simplify your answer as much as possible.
will mark brainliest if correct
Answer:
2i and -2i
Step-by-step explanation:
I'll change u to x to be easier to understand.
x^2 = -4
sqrt(x^2) = sqrt(-4)
sqrt(-4) = 2i, or -2i
Suppose there is this little town with a finite number of people: (1) No two inhabitants have exactly the same number of hairs. (2) No inhabitant has exactly 743 hairs or no hairs at all. (3) There are more inhabitants than there are hairs on the head of any inhabitant. So, what is the highest possible number of inhabitants in that little town?
The highest possible number of inhabitants in that little town are 743.
What are inhabitant?A person or animal that lives in a place is called as the inhabitant.
Suppose there is this little town with a finite number of people: (1) No two inhabitants have exactly the same number of hairs. (2) No inhabitant has exactly 743 hairs or no hairs at all. (3) There are more inhabitants than there are hairs on the head of any inhabitant.
Let say there are 519 people in the town. and make them stand in a line with increasing number of hairs on their heads. This way, there will be a person on the last, who has no hair.
There are more number of people than the hairs. From bald to 742 hairs, 743 is the limit.
Thus, the highest possible number of inhabitants in that little town are 743.
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If events A and B are independent, what must be true?
P(A|B) = P(B)
P(A|B) = P(A)
P(A) = P(B)
P(A|B) = P(B|A)
Answer: P(A|B) = P(A)
Step-by-step explanation:
If they are independent, one event being given doesn't impact the probability of the other event.
Answer:b
Step-by-step explanation:
b
( PLEASE HELP WILL MARK BRAINLIEST PLEZ ) Calculate the area of a triangle with a base of 6 cm and a height of 12 cm. Draw and label the triangle.
Area
1/2BH1/2(6)(12)3(12)36cm²Base=6cm
Height=12cm
So,
1/2BH= 1/2×6×12
= (3×12)
= 36 cm²
_________________________________[tex]\boxed{\blue{ » \: Lear \: math \: with \: Kareninajovanka \: « コ: \: 彡}}[/tex]
What additional piece of information would prove △LMK≅△NMK by Side Angle Side?
Answer:
angle M
Step-by-step explanation:
if you are using side angle side the two sides may be
line LK and NK
and angle M
During the basketball season, Morgan made 3 times as many 2-point baskets as she made 3-point baskets and free throws combined. If she made 14 free throws and eight 3-point baskets, How many 2-point baskets did she make. And simplify your answer.
Answer:
123 save some for me
Step-by-step explanation:
:0
Answer: 123
Step-by-step explanation: I did the math- lol-
There are 10000 people living in a certain city. Suppose that the rate of population growth in the city is proportional to the number of inhabitants. Suppose that 10% of the original amount increase in 30 years, how much will the population in the city after 60 years?
Answer:
.............30000.............
A rose garden is formed by joining a rectangle and semicircle. The rectangle is 25ft long and 29 ft wide. If the garden wants to build a fence around the garden, how much feet of fence are required
Step-by-step explanation:
normally the perimeter of a rectangle is
2×length + 2×width
in this case here one of the sides in that calculation has to be replaced by the outer circumference of the semicircle.
but which one ? you did not say, whether the semicircle is attached to a length or to a width of the rectangle.
the circumference of a circle is
2×pi×r
r being the radius (= half of the diameter).
so, the outer circumference of a semicircle is
2×pi×r/2 = pi×r
since we don't know the side of the rectangle, I am giving you both calculations here, and you have to pick the right one that fits your original problem definition.
if it is attached to a length (25 ft), then the radius of the semicircle is
25/2 = 12.5 ft
and the whole perimeter is
length + semicircle + 2×width =
= 25 + pi×12.5 + 2×29 =
= 25 + 39.26990817... + 58 = 122.2699082... ft
if it is attached to a width (29 ft), then the radius of the semicircle is
29/2 = 14.5 ft
and the whole perimeter is
2×length + semicircle + width =
= 2×25 + pi×14.5 + 29 =
= 50 + 45.55309348... + 29 = 124.5530935... ft