Answer:
16 apples
Step-by-step explanation:
If the original ratio is 4:7.
Then we multiply both numbers by 4. Since 7 x 4 is 28.
So now you have (4x4):(7x4)
Your final ratio is 16 apples : 28 oranges
What is the relationship between the volume of a rectangular prism and pyramid that both have the same dimensions?
Question 23 options:
A) The volume of the pyramid is 1/3 the volume of the rectangular prism.
B) The volume of the pyramid is 3 times the volume of the rectangular prism.
C) The volumes are the same
D) There is no relationship
Answer: A) The volume of the pyramid is 1/3 the volume of the rectangular prism.
Explanation:
Let's say we had a rectangular block that has a volume of 90 cubic meters. If we wanted a pyramid that had the same base as the block, then the pyramid would have 1/3 of that 90 m^3 volume. The pyramidal volume would be (1/3)*90 = 30 m^3.
Put another way: we can fit 3 pyramids into one rectangular block.
1 package of COOKIE mix requires 2 T water and 1 stick of butter. How much water is required if you DOUBLE the recipe?
Answer:
4 T
Step-by-step explanation:
2 T (2) = 4 T
Simplify the following by subtracting the exponents. I will give brainlist
Answer:
1. r^5
2. st^2
3. qr (the two "s" cancel each other out)
4. z (the x^2's and y^2's cancel each other out)
5. m (the n^2's and o's cancel each other out)
6. x
7. z^-1
8. a (the b^2's cancel each other out)
9. d^4 f^2
Step-by-step explanation:
When exponential variables are divided, the base variable stays the same, and the exponents are subtracted. For example, for #6, x^2/x^1 (x doesn't need an exponent but for the sake of explanation is ^1). We subtract the exponents and since anything "to the power of 1" will just be the base number, for example 6^1 will still be 6.
The simplified expressions are given below.
What are Exponents?Exponents are the method of writing numbers, especially large numbers, in terms of a base and an exponent, which is written as the power of base.
1) We have the division rule of exponents that,
xᵃ / xᵇ = xᵃ⁻ᵇ
Using this,
r⁶ / r = r⁶⁻¹ = r⁵
2) s³t⁴ / s²t² = s³⁻² t⁴⁻² = st²
3) q³r²s / q²rs = q³⁻²r²⁻¹s¹⁻¹ = qr
s⁰ = 1, since any number raised to zero is always one.
4) x²y²z / x²y²z
Both numerator and denominator are same.
So the quotient is 1.
5) m³n²o / m²n²o
n²o gets cancelled both in the numerator and denominator.
m³n²o / m²n²o = m³⁻² = m
6) x² / x = x²⁻¹ = x
7) z⁴ / z⁵ = z⁴⁻⁵ = z⁻¹
8) a²b² / ab²
b² gets cancelled since they are same in both numerator and denominator.
a²b² / ab² = a²⁻¹ = a
9) d⁵f³ / df = d⁵⁻¹f³⁻¹ = d⁴f²
Hence the simplified form of each of the expressions is given.
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May I please receive help?
Answer:
[tex] \alpha + (\alpha + 61) = 109 \\ 2 \alpha + 61 = 109 \\ 2 \alpha = 48 \\ \alpha = 24[/tex]
The measure of angle one is 24°
Help I will mark brainliest
Answer:
350
Step-by-step explanation:
Multiply all the sides by each other. This is a triangular prism so the base, you divide by 1/2. So:
A = 7 * 10 * 10
A= 7 * 5 * 10.
(You divide the ten on the bottom)
7*5 = 35
35*10 = 350
Answer:
240
Step-by-step explanation:
The surface is the sum of the sides (all 4 equal) plus the base.
A = 4(1/2B * H) + B**2
A = 4((1/2 * 10) * 7) + 10 * 10
A = 4(5 * 7) + 100
A = 4 * 35 + 100
A = 140 + 100
A = 240
10. A furniture company allows customers to purchase household furnishings with an in-store loan,
pay with cash or a credit card, or Rent-To-Own with a lease agreement.
A customer chooses furniture worth $3,225.00 including tax and chooses to Rent-To-Own.
Rent to Own Furniture Warehouse
• No down payment is required.
• The monthly lease payment is $156.99 for 2 years.
a. Calculate the total cost to own the furniture using the Rent-To-Own option.
b. What the amount of the finance charge on this purchase?
c. What simple interest percentage rate is this finance charge? Recall: = �
Answer:
a) Cost of rent to own option is = ($156.99/month) ( 2 yrs)( 12 month/yr) = $3767.76
b) The amount of the finance charge is = $3767.76 - $3225.00 = $542.76
c) the simple interest rate can be calculated by this formula
I = Prt, where
I = total interest value = $542.76
P = is the present worth or original cost including taxes = $3225.00
t = time in yrs = 2
r = Yearly interest rate, By rearranging the formula:
r = I /Pt, r = ( $542.76 / $3225.00 . 2) ( 100) = 8.415%
Step-by-step explanation:
What are the y-intercept and the slope of the line represented in the graph?
Answer:
There is no graph.
Step-by-step explanation:
A square has a diagonal that is 36 mm long. What is the area of the square?
If necessary, round your answer to the nearest whole number.
Answer:
18mm
Step-by-step explanation:
in the triangle we will say:
36=x^2 +x^2
36=2x^2
so x will be = root 18
as the area = x*x
so root 18 * root18=18mm^2
Rewrite each of the following expressions using either a generic rectangle or the Distributive Property
Answer:
a) -8yx-20y
b) -6x ² - 3xy - 16x -2y - 8
Step-by-step explanation:
a) -4y(2x+5) apply multiplicative distribution law
-4y × 2x - 4y × 5 multiply the monomials
-8yx - 20y
b) kinda the same steps like a
:) distributive property btw
hope it helps if you need the steps for b I'll send them in the comment
Can anyone help asap please
Answer:
Step-by-step explanation:
a=e= 90 b/c it is square
b= 45, it half of square
c base in rule of sin or cos, tan.
d=2,85
Help plsssss! I need this done
Answer:
B)p=20
Step-by-step explanation:
25=5p/4
25×4=5p
100=5p
p=100/5
p=20
Please Help me. Put the following equation of a line into slope-intercept form, simplifying all fractions.
4x+6y= -36
find the length of DE if D is between points C and E, CD = 6.5 centimeters, and CE = 13.8 centimeters.
Answer:
DE = 7.3 cm
Step-by-step explanation:
All you have to do is take the length of the full line (13.8 cm) and subtract it by the first part (6.5 cm). Doing this gets you the final length of DE with is 7.3 cm.
6 times 10 to the 8th power divided by 2 times 10 to the negative 4th power
Answer:
30
Step-by-step explanation:
I think but if is wrong i'm sory
How can you use a property to write a simplified equivalent
expression?
Answer:
For example, apply the distributive property to the expression 3 (2 + ) to produce the equivalent expression 6 + 3; apply the distributive property to the expression 24 + 18 to produce the equivalent expression 6 (4 + 3); apply properties of operations to + + to produce the equivalent expression 3.
Step-by-step explanation: hope this helps
8 7/3 divided 7 1/2
6 1/2 divided 34/4
23/3 divided 6 2/5
Pls help ASAP
1) 1 17/45
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
31/3 ÷ 15/2
Applying the fractions formula for division,
= 31 × 2/3 × 15
= 62/45
Simplifying 62/45, the answer is
1 17/45
2) 13/17
First:
Convert any mixed numbers to fractions.
Reduce fractions where possible.
Then your initial equation becomes:
13/2 ÷ 17/2
Applying the fractions formula for division,
= 13 × 2/2 × 17
= 26/34
Simplifying 26/34, the answer is
13/17
3) 1 19/96
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
23/3 ÷ 32/5
Applying the fractions formula for division,
= 23 × 5/ 3 × 32
=115/96
Simplifying 115/96, the answer is
1 19/96
7/8 divided by 2 1/4
Answer:
7/18
Step-by-step explanation:
asap po please thank you po!
Answer:
1 is correct, 100.
2 is 500, not 470. since we're rounding to the nearest hundred, we would look at the tens place and if it's higher than 5 then round up.
3 is correct.
4 is correct.
5 is correct.
6 is correct.
7 is correct.
8 is 290, not 300. like i said before, but in this case we're rounding t the nearest ten instead of hundred. but the same rules apply.
9 is correct.
and 10 is correct!
i think that you did pretty well on most of these, but remember the rounding rule.
211-0 + (-71-9)
.
Simplify
0 0
-3,12
-3
0 -3
DONE
Answer:
-3, -
Step-by-step explanation:
I took the test
cancelout the v^-6
21/-7
-3
Answer:
Step-by-step explanation:
[tex]\dfrac{21y^{-6}}{-7y^{-6}}= (-3) *y^{-6 -[-6]} = (-3)*y^{6+6}=-3*y^{0} = -3*1 = -3[/tex]
7y+3=3x+11
find x and y
Answer:
7y + 3 = 3x + 11
7y = 3x + 11 - 3
7y = 3x + 8
y = 3x + 8 / 7
7y + 3 = 3x + 11
7y + 3 - 11 = 3x
7y - 8 = 3x
x = 7y - 8 / 3
can someone help me do 62
Answer:
a^2 = -2a
a= -2
b=18/a
b=18/ -2
b= -9
On a snow day, Kayden created two snowmen in his backyard. Snowman A was built to a height of 59 inches and Snowman B was built to a height of 34 inches. The next day, the temperature increased and both snowmen began to melt. At sunrise, Snowman A's height decrease by 7 inches per hour and Snowman B's height decreased by 2 inches per hour. Let AA represent the height of Snowman A tt hours after sunrise and let BB represent the height of Snowman B tt hours after sunrise. Write an equation for each situation, in terms of t,t, and determine the interval of time, t,t, when Snowman A is taller than Snowman B.
A=
B=
Snowman A is taller than Snowman B when tt ___ __ ___
Answer:
AA=59-7t
BB=34-2t
t<5
Step-by-step explanation:
AA=59-7t
BB=34-2t
Snowman A is taller than Snowman B while 59-7t > 34-2t
25>5t
t < 5 hrs
A person is standing 24 feet away from a street light that is 25 feet tall. How tall is he if his shadow is 6 feet long?
Answer:
Step-by-step explanation:
The triangle formed by the lamp post and the (24+6)foot side on the ground is similar to the right triangle formed by the person of height h and his 6 foot shadow.
H/25=6/36
H=5
The person is 5 feet tall when his shadow is 6 feet long.
What is Proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
A person is standing 24 feet away from a street light that is 25 feet tall.
let the height of person be x when its height of shadow is 6 feet.
Using Proportion
x/ 6 = 25 / 30
30x =150
x= 150/ 30
x= 5 feet
Hence, the height of the person is 5 feet.
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qenl ingin ke korea menemui Mbak Rrr, qenl mmbeli tiket delman dgn harga 5000 tapi uangnya hanya cukup untuk pergi ke kanada yg harga tiket delmannya 2000. berapa selisih kedua tiket tsb?
nt:
how to make a username with greek letters
Answer:
3.000
Step-by-step explanation:
ticket delman korea = 5000ticket delman kanada = 2000Selisih
= 5000 - 2000
= 3000
Maka, selisih harga tiket delman Korea & Kanada adalah 3.000 .
Tiket to Korea = 5.000
Tiket to Kanada = 2.000
—» Selisih = Tiket Korea - Tiket Kanada
—» Selisih = 5.000 - 2.000
—» Selisih = (5 - 2)000
—» Selisih = 3.000
What is equivalent to 114-201
Answer:
-87
Here ya go :)
Mr ko buys water bottles for a class trip he needs 20 water bottles and buys them in packs of 8 how many packs does mr ko need to buy
What is the value of x
Answer:
x = 13
Step-by-step explanation:
The sum of the exterior angles of a polygon always will equal 360°.
(3x + 6) + 41 + (6x - 5) + (4x + 7) + 62 + (7x - 11) = 360°
(3x + 6x + 4x + 7x) + (6 + 41 - 5 + 7 + 62 - 11) = 360°
20x + 100 =360°
20x = 260
x = 260/20
x = 13
An elevator was at the 4" floor. It traveled up 18 floors, down 7 floors, up 6 floors and down 2 floors. What floor did the elevator end up on?
Jason deposits $1700 in an account that earns 5% interest compounded weekly. How much will Jason have after 8 years?
Answer:
$2511.674254, rounded to $2512
Step-by-step explanation:
1700x1.05^8
I need help! Please tell me
Answer:
y = 2x + 6
y = -1/4 x - 3
Step-by-step explanation:
We can read from the graph that the equation that slopes up to the right has y-intercept 6 and slope 2. The equation that slopes down to the right has y-intercept -3 and slope -1/4.
The equations are:
y = 2x + 6
y = -1/4 x - 3