if a area of a rectangle is 45...
set up an equation that must be true:
w = x
L = x-4
Answer: x times (x-4)=45
Step-by-step explanation:
First since the area is 45 that’s what the equation has to be equal to.
To find the area you always have to do length times width. So the width (x) times the length (x-4) equals 45.
Which expression could represent the phrase shown? (1 point)
"Add 4 and 5, divide the sum by 3, and then add the product of 6 and 5"
Group of answer choices
4 + 5 ÷ 3 + (6 x 5)
(4 + 5) ÷ 3 + 6 x 5
4 + (5 ÷ 3) + 6 x 5
4 + 5 ÷ (3 + 6 x 5)
Answer:
(4+5) ÷ 3 + 6 x 5
Step-by-step explanation:
pemdas
Suppose you have 18 more quarters than dimes. You have a total of $8.00. How many of each coin do you have? Use the substitution method to answer the question.
Answer:
18 quarters = $4.50
8.00-4.50=3.50
10 dimes+10 quarters=$3.50
Answer= you have 10 dimes and 28 quarters
Step-by-step explanation:
Answer:
You would have 18 quarters and 35 dimes
Step-by-step explanation:
A discrete random variable is a variable that is randomly chosen and can take
on an infinite number of values over a specific range.
a. true
o
b. false
Answer:
false
Step-by-step explanation:
20 points help please
: Find the area of the shaded region for these two questions. Remember this
Area of shaded region= total area - area of unshaded region.
^explain
Answer:
c) 18 cm²
d) 30 cm²
Step-by-step explanation:
c)
You can do this 2 different ways. Either way, you need to use the bottom side of 8 cm and the two congruent segments. Each of the two congruent segments of the bottom side measures 4 cm.
Method 1) Find the area of the large triangle and subtract from it the area of the small triangle.
area of triangle = bh/2
shaded area = 8 cm × 6 cm / 2 - 4 cm × 3 cm / 2
shaded area = 24 cm² - 6 cm²
shaded area = 18 cm²
Method 2) The shaded region is a trapezoid with parallel bases of lengths 3 cm and 6 cm and height 4 cm. Find the area of the trapezoid.
area of trapezoid = (B + b)h/2
shaded area = (6 cm + 3 cm)(4 cm)/2
shaded area = (9 cm)(4 cm)/2
shaded area = 18 cm²
d)
The area of the shaded region is the area of the white triangle subtracted from the area of the rectangle.
area of rectangle = length × width
area of triangle = bh/2
shaded area = (12 cm)(4 cm) - (9 cm)(4 cm)/2
shaded area = 48 cm² - 18 cm²
shaded area = 30 cm²
welve books cost $59.88 and
books cost $104.79. Is there is a constant of proportionality between these purchases?
plain.
There is a constant of proportionality between the two purchases and each book costs $4.99.
Step-by-step explanation:A correspondence relation between two variables is of direct proportionality when the quotient between the corresponding quantities is always the same. This quotient is called the constant of proportionality.
In other words, when dividing any quantity of one of the magnitudes by the one that corresponds to it in the other, the value it gives is always the same. This value is known as the constant of proportionality.
In this case, the constant of proportionality [tex]k[/tex] will relate the number of books bought [tex]N[/tex] and their cost [tex]C[/tex] in the following way:
[tex]C=k*N[/tex]
So k is the price per book.
For the 12 books:
[tex]k=\frac{59.88}{12}[/tex]
[tex]k=4.99[/tex]
And for the 21 books:
[tex]k=\frac{104.79}{21}[/tex]
[tex]k=4.99[/tex]
The constant [tex]k[/tex] for the two purchases is the same, thus there is a constant of proportionality between the two purchases and each book costs $4.99.
Find the values of x for which the function is continuous.
f(x) =
−3x + 7 if x < 0
x^2 + 7 if x ≥ 0
a.x ≠ 0
b.x ≥ 0
c.x ≥ root square 7
d.all real numbers
e.x ≠ 7
It looks like the given function is
[tex]f(x) = \begin{cases}-3x + 7 & \text{if }x < 0 \\ x^2+7 & \text{if }x \ge0\end{cases}[/tex]
The two pieces of f(x) are continuous since they are polynomials, so we only need to worry about the point at which they meet, x = 0. f(x) is continuous there if
[tex]\displaystyle \lim_{x\to0^-} f(x) = \lim_{x\to0^+} f(x) = f(0) = 7[/tex]
To the left of x = 0, we have x < 0, so f(x) = -3x + 7 :
[tex]\displaystyle \lim_{x\to0^-} f(x) = \lim_{x\to0} (-3x + 7) = 7[/tex]
To the right of x = 0, we have x > 0 and f(x) = x² + 7 :
[tex]\displaystyle \lim_{x\to0^+} f(x) = \lim_{x\to0} (x^2 + 7) = 7[/tex]
So f(x) is continuous at x = 0, and hence continuous for all real numbers.
You are taking a typing class and can now type 30 words per minute. a. Set up a proportion to solve for the amount of time it would take you to type 400 words. b. Solve the proportion in part (a). c. Set up a proportion to solve for the number of words you could type in 10 minutes. d. Solve the proportion in part (c).
Whoever answers I’ll give brainliest
Answer:
hi,as u promise,lets go!!
a)1min=30w
x=400w
b)1min=30w
x=400w
1min×400w=x×30w
400w min=x×30w
30w 30w
x= 13mins and 3 sec.
c)1min=30w
10 min=x.
d)1min=30w
10min=x
1min×x=10min×30w
1min ×x = 300wm
1min 1min
x=300words.
THANKS ,HOPE IT HELPS!!BRAINLIESTAnswer:
a.) 1:30 :: x:400
b.) About 13 minutes and 35 seconds
c.) 1:30 :: 10:x
d.) 300 words
Step-by-step explanation:
a.) 1 = minute 30 = words typed in that minute 400=words typed x=minutes
b.) 400 / 30 = 13.3
c.) 1 = minute 30 = words typed in that minute x=words typed 10=minutes
d.) 10 x 30 = 300
Whoever answers first ill mark brainlist
Answer:
∠S = 19°
Step-by-step explanation:
Since all angles in a triangle add up to 180°, we must first find how much is left.
180 - 142 = 38
And since we know that the two lines are congruent, we know that the two other angles will be the same. So we divide the remaining by 2
38 ÷ 2 = 19
So both other angles are 19° meaning that ∠S is 19°
Hope this was helpful!
Answer: m∠S = 19°
Step-by-step explanation:
We know the angles of a triangle add up to 180° (and if you don't, you do now)
-> We are given one angle, 142°
-> We are given the fact this is an isosceles triangle, or one with two congruent sides
[] This means the other two angles are congruent
-> Taking this information, we will set up an equation to solve for x
180° = 142° + 2x°
38° = 2x
19° = x
x = 19°
x = m∠S, so m∠S = 19°
m∠S = 19°
In 2000 the population of country a reached 4 million, and in 2025-is projected to be 7.5 million.
(a) find values for po and a so that the following formula models the population of country a in year x.
f(x)=poa*-2000
(b) estimate the country's population in 2010 to the nearest hundredth of a million.
(c) use f to determine the year during which the country's population might reach 10 million.
(a) find values for po and a.
po= million
(round to the nearest hundredth as needed.)
a=
(round to five decimal places as needed.)
Answer:
the answer is 2000 so yea
If Kate has an apple, an orange, a pear, a banana, and a kiwi at home and she wants to bring three pieces of fruit to school, how many combinations of fruit can she bring?
125
3!
10
5!
Answer:
it 5
Step-by-step explanation:
if 1 Bahrain Dinar= £ 2.13 Convert 4000 Dinar to Pound.
4000 Bahrain Dinar as Pounds.
Solution:let the unknown be "x"
we'll have to do cross multiplication.
[tex] \frac{1}{4000} \times \frac{2.13}{x} [/tex]
so now,
[tex]x = 4000 \times 2.13[/tex]
[tex]\large\boxed{\sf{£ 8520}}[/tex]
Therefore, 4000 Bahrain Dinar is £ 8520
Answer to your question is:
£ 8520
hope this helps!
Match y = 3x – 1 with its graph
CAN SOMEONE HELP ME PLS
Answer:
9.2
Step-by-step explanation:
Find the coordinates and plug em into the equation. (-5,5) (1,-2)
Square root 85 is 9.2.
Answer:
9.2 (if rounded to the nearest tenth)
Which inequality can be used to represent this scenario? Sarah has a $50 gift card for her favorite online makeup delivery service. The delivery service has a one time fee of $3.85 and the subscription is $10.50 every month. How many months of this service can Sarah subscribe to with her gift card?
Answer:
50 = 3.85 + 10.5m
Step-by-step explanation:
50 = Total
m= months
A one time payment can be deducted immediately, then the remaining amount should be divided by the price per month.
Daisy estimated a certain expression to have a value of 300. Which of these
expressions could be the one Daisy estimated?
Select the two that apply.
A. 10x2
B. 30x2
C. 100x
D. 300
E. (5x)?
Answer:
C and D
Step-by-step explanation:
C). With the X right by the 100 means that it could be anything there, so you would put a 3 at the end so then 100 x 3 = 300.
D). The value is already 300 so no need to do work there.
Using Multiplication, 100 × 3 is this expressions could be the one daisy estimated.
What is multiplication?Multiplication is an "operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers".
According to the question.
Daisy estimated a certain expression to have a value is 300 using Multiplication we have,
100 × x =300
x = 300/100
x = 3.
Hence, 100 × 3 is this expressions could be the one daisy estimated using Multiplication.
Learn more about Multiplication here
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Please help asap
trevon is helping his sister study for her geometry test while staying at a hotel.
how can trevon use the hotel's third floor, sixth floor, and the elevator to illustrate the concepts of parallel and perpendicular?
a.
the hotel floors are perpendicular to each other, and the elevator moves in a path that is parallel to them both.
b.
the hotel floors are perpendicular to each other, and the elevator moves in a path that is perpendicular to them both.
c.
the hotel floors are parallel to each other, and the elevator moves in a path that is perpendicular to them both.
d.
the hotel floors are parallel to each other, and the elevator moves in a path that is parallel to them both.
She should fart 10 times
I tried my best!!!! Hope this helps :D
Please solve with work,,, I need this quick plsssss
The volume of the solid that results, when the region enclosed by the curves, is revolved about the x-axis is 3.35 cubic units.
What is a solid revolution?When a figure is revolved around some fixed axis, the whole three-dimensional solid formed from the area that it swaps out is called a solid of revolution.
The function is given below.
y = - x² + 1
y = 0
Then the volume of the solid will be
[tex]\rm Volume = 2\int \pi y^2 dx\\\\\\Volume = 2 \int _0^1 \pi (-x^2 + 1)^2 dx\\\\\\Volume = 2 \pi \int _0^1 (x^4 - 2x^2 + 1)dx\\\\\\Volume = 2 \pi \left [ \dfrac{x^5}{5} - \dfrac{2x^3}{3} + x \right]^1_0\\\\\\[/tex]
On solving further, we have
Volume = 2π [(1/5 - 2/3 + 1) - 0]
Volume = 2π [8/15]
Volume = 3.35
Then the volume of the solid will be 3.35 cubic units.
Learn more about solid of revolution here:
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Donna earns $1,404 per week at her job. However, 19% of her income gets taken out in taxes, and 12% of her income gets taken out and put into her retirement account.
Answer:
Step-by-step explanation:
A reasonable estimate of the amount Donna is left with each week after the money is deducted: $980. 1404*.19=266.76 ; 1404*.12=168.48 ; 1404-266.76-168.48=968.76 or estimated as $980.
graph the line y = -2x - 2
Answer:
-2x-2
For a line equation for the form of y = mx +b, the slope is m
m= -2
The function has no undefined points nor domain
constraints. There fore, the domain is
domain: -∞<x<∞
The range of polynomial with odd degrees is all the real numbers
range: -∞<f(x)<∞
Step-by-step explanation:
graph is inserted
Clay and his friend Lacey are making cookies for the school dance. Clay started early and has already made 3 dozen cookies. He can make an additional 2 dozen cookies an hour. Lacey has not started making cookies yet, but she has a bigger oven and can make 4 dozen cookies an hour. If Lacey starts baking her cookies right away, how long will it take for her to have made as many cookies as Clay? How many cookies will they each have made?
HELP PLEASE
If Lacey starts baking her cookies right away, then the time is taken for her to have made as many cookies as Clay will be 1.5 hours.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Clay and his friend Lacey are making cookies for the school dance.
Clay started early and has already made 3 dozen cookies.
He can make an additional 2 dozen cookies an hour.
Lacey has not started making cookies yet, but she has a bigger oven and can make 4 dozen cookies an hour.
Let y be the number of the cookies (in dozen) and x be the number of the hours.
Then the equations will be
y = 2x + 3 ...1
y = 4x ...2
If Lacey starts baking her cookies right away, then the time taken for her to have made as many cookies as Clay will be
From equations 1 and 2, we have
2x + 3 = 4x
2x = 3
x = 1.5
Then the number of hours will be 1.5 hours.
More about the linear system link is given below.
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what is 4915 multiplied by 345
Answer:
1,695,675
Step-by-step explanation:
Me using the calculator <3
Simplify using basic trigonometric identities
Answer:
1.cosx×cscx
=cosx×1/sinx
=cosx/sinx
=cotx
2.cotx×secx×sinx
=1/tanx×1/cosx×sinx
=1/tanx×sinx/cosx
=1/tanx×tanx
=1
hope it helps you
Aaron took his car to the shop for an oil change. He dropped the car off at 2:34. Aaron came back to pick up his car 1 hour and 43 minutes later. What time was it when he picked up the car?
A.8:43
B.4:37
C.4:17
D.4:27
Answer:
c
Step-by-step explanation:
2.34 to 3.34 is 1hr
3.34 plus half an hour is 4.04 plus 13 mins
x: y = 1:5 Which is the correct equation? A y = 5x By= C y=x-4 D y=x+4
I'm leaning towards A but don't want totake the risk with a hour detention on the line if I get it wrong
Hi can someone help me with my math homework thankyouu
Answer:
Move the decimal point in 70.91 three places to the right
so that it becomes 70910.
I don't know what to do! please help!
Answer:
128
Step-by-step explanation:
As they have added the same shape onto the top of the rectangle as they have taken away from the bottom, just do 16x8.
factor the quadratic trinomial x^2-8x+18
(x+ )(x+ )
Answer:
This is prime.
No factors.
Step-by-step explanation:
geometric mean of 25 and 35
Answer:
sooo i think, it is
Step-by-step explanation: it screen shot cause i worked it out on my computer !