Answer:
4:6
Step-by-step explanation:
The ratio of the height of the model bookcase to the height of the real bookcase will be 3: 2.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
A bookcase is 4 ft tall. A model of the bookcase is 6 ft tall.
The ratio of the height of the model bookcase to the height of the real bookcase is given by the division of the numbers 4 and 6. Then we have
Ratio = 6 / 4
Simplify the ratio, then we have
Ratio = 6 / 4
Ratio = 3 / 2
Ratio = 3: 2
The ratio of the height of the model bookcase to the height of the real bookcase will be 3: 2.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ5
There were 27 boxes of tea in the tea house. Each box weighed 18 kg. After selling 12 boxes, the shopkeeper packed the remaining tea into bags of 9 kg each. How many bags of tea can be packed?
Answer:
30 boxes of tea
Step-by-step explanation:
27 (overall tea boxes) - 12 (boxes sold) = 15
15 (leftover boxes) x 18 (kg of each box) = 270
270 (overall kg of the boxes) divided by 9 (kg of the bags) = 30, so all the tea boxes can be placed into the bags
Solve for “z.”
Please help!
Answer: Z=5
Step-by-step explanation:
Solve the rational equation by combining expression and isolating the variable z
the probability of getting less than 3 in a single throw of a dice is
Answer:
There are two numbers {1,2} which is less than 3. so, required probability P(E) = 2/6 = 1/3.
Step-by-step explanation:
hope this helps
Please help me solve this challanging question 9 (step by step sulotion) 50 points!
9514 1404 393
Answer:
10
Step-by-step explanation:
Let L and T represent the initial amounts that Leo and Theo had. Let n represent the number of bills exchanged in the first exchange. Then we have ...
L -20n +50n = T -50n +20n . . . . after the first exchange, each has the same
After the second exchange, amounts trade places:
(L +30n) +6(50) = T
Substituting this into the first equation, we get ...
L +30n = ((L +30n) +300) -30n
30n = 300
n = 10
Leo gave Theo ten $20 bills.
_____
Comment on the amounts
Theo started with $600 more than Leo, including exactly 16 $50 bills. Leo had at least 10 $20 bills, so he could make the initial exchange. Whatever initial amount Leo had in excess of that $200 was matched in Theo's initial amount, but Theo must have had that excess in $20 bills only. For example, Leo may have started with $300 as 10×$20 +2×$50, but Theo's initial $900 would need to be 5×$20 +16×$50.
I need help with this Geometry question
Answer: A) 6 in^2
First, you need to find the length of the base.
a = 3, b = ?, c= 5
Using Pythagorean Theorem*: a^2 + b^2 = c^2
b^2 = c^2 - a^2
b^2 = 5^2 - 3^2
b^2 = 25 - 9
b^2 = 16 (square root both sides)
b = 4
Now, you have to find the area using the area of a triangle formula: A = (bh)/2
A = (bh)/2
A = (4·3)/2
A = 12/2
A = 6 in^2
Pythagorean Theorem is used for this question since it's a right triangle.
Answer: A) 6in^2
Step-by-step explanation:
base = 4 in
height = 3 in (pythagorean theorem)
A = (bxh)/2 = (4x3)/2 = 12/2 = 6 in^2
Solve for the monkey. Show all work ty
Answer:
Monkey: -5/2
Step-by-step explanation:
monkey = x
3x + 4 = -x - 6
3x + x = -6 - 4
4x = -10
4x/4 = -10/4
x = -5/2
Check:
3x + 4 = -x - 6
3(-5/2) + 4 = -(-5/2) - 6
-15/2 + 4 = 5/2 - 6
-15/2 + 8/2 = -3.5
-7/2 = -3.5
-3.5 = -3.5
Answer:
-2.5
Step-by-step explanation: 3x+4=-1x-6
+1x +1x
4x+4=-6
-4 -4
4x=-10
divide _ _
4 4 = -2.5
jun uses a 20%-off coupon to by the ingredents for congee. she spends $40. what is the regular price r of the ingredeints before the discount
Answer:
$50
Step-by-step explanation:
Make the equation where x is the original price:
x - 0.2x = 40
Combine like terms
0.8x = 40
Divide both sides by 0.8
40/0.8 = 50
Write the point-slope form of the equation of the line through the given point with the given
slope.
through: (4.-3), slope = -2
Answer:
y+3 = -2(x-4)
Step-by-step explanation:
The point slope form of a line is
(y-y1) = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y- -3 = -2 (x-4)
y+3 = -2(x-4)
Andre purchased 1 quart of lemonade
from a concession stand for $1.50.
Which shows the rate for 6 quarts of
lemonade?
Answer:
7
Step-by-step explanation:
Please help me with this question
This should be the format of your answer:
Ex. Given: distance = 500 m/s
time = 10 s
Asked: speed
Formula: d/t
Solution: 500 m/10 s
Answer: 50 m/s
2. The new Ferrari can accelerate from rest to 100 km/hr in 5 seconds. What is the average acceleration of the car in m/s2?
3. A car starts from a stoplight and is traveling with a velocity of 10 m/sec east in 20 seconds. What is the acceleration of the car?
4. A ball is rolled at a velocity of 12 m/s. After 36 seconds, it comes to a stop. What is the acceleration of the ball?
Answer:
The answer is below
Step-by-step explanation:
Acceleration is the time rate of change in velocity. Acceleration is given by:
Acceleration = change in velocity / time taken
Acceleration = (final velocity - initial velocity) / time
1) The Ferrari is from rest, hence initial velocity = 0. The final velocity = 100 km/h = [tex]\frac{100\ km*1000\ \frac{m}{km} }{1\ hr*\frac{3600\ s}{1\ hr} } =27.78\ m/s[/tex], time = 5 s
Acceleration = (0 - 27.78) / 5 = 5.56 m/s²
2) The car has initial velocity = 10 m/s. The final velocity = 10 m/s since velocity is constant. time = 20 s
Acceleration = (10 - 10) / 20 = 0 m/s²
3) The ball has initial velocity = 12 m/s. The final velocity = 0 m/s since it stops. time = 36 s
Acceleration = (0 - 12) / 36 = -0.33 m/s²
A. 50 degrees
B. 130 degrees
C. 9 units
D.22 units
E. 13 units
Answer: all i can do hope this helps a bit 2. 130 degrees
5. 13 units
Jacob decided to start saving for college. After 3 months, he had saved $174. His friend Victoria was inspired to do the same. After 6 months, she had saved $360. If they are both saving money at a constant rate, how many more dollars per month does Victoria save than Jacob?
Answer:
$2 more.
Step-by-step explanation:
In this question, we have to find how much more money Victoria is saving.
We know that Jacob saved $174 in 3 months.
We also know that Victoria saved $360 in 6 months.
Lets find how much money they save per month:
Jacob:
174 ÷ 3 = 58
Victoria:
360 ÷ 6 = 60
Jacob is saving $58 per month and Victoria is saving $60 per month.
This means that Victoria is saving $2 more than Jacob per month.
Answer:
2
Step-by-step explanation:
multiply by 2 and then divide by 6
For questions 1 – 6, find the area of the circle to the nearest hundredth.
Any help appriciated!
Step-by-step explanation:
The area of a circle is given by :
A = πr²
r is the radius of the circle
(4) Diameter = 22 cm
Since, radius = diameter/2
r = 11 cm
Now, area of the circle,
[tex]A=\pi \times (11)^2\\\\A=380.13\ cm^2[/tex]
(5) Diameter = 30 cm
Since, radius = diameter/2
r = 15 cm
Now, area of the circle,
[tex]A=\pi \times (15)^2\\\\A=706.85\ cm^2[/tex]
(6) Diameter = 4cm
Since, radius = diameter/2
r = 2 cm
Now, area of the circle,
[tex]A=\pi \times (2)^2\\\\A=12.56\ cm^2[/tex]
So, the area of circles 4,5 and 6 are 380.13², 706.85² and 12.56² respectively.
.is BLANK
than
is fewer
than
3 < 5
Answer:
I do not know what you just said so I assume your asking if 3 is less than 5 and yes 3 is less than 5
can you help me
3(x+2)=2(x+5)
Answer: x = 4
Step-by-step explanation:
3(x+2)=2(x+5)
3x + 6 = 2x + 10
x + 6 = 10
x = 4
please answer asap no trolls!
Answer:
Yes.
Step-by-step explanation:
3.5 + 5.5 > 7.8
Cindy types 180 words in 2 minutes
Enter the number of words Cindy types in 5 minutes at this rate.
Which of the following is not a correct statement about
the pie chart?
More students have hazel eyes than blue.
Most of the students in the class have brown eyes.
More students in the class have blue eyes than
hazel.
O The fewest number of students have gray eyes.
Answer:
More students have hazel eyes than blue.
Step-by-step explanation:
Answer:
Step-by-step explanation:
What are the x-intercepts of f(x) = x(x + 1)(x - 4)(x+8)??
Answer:
f(x)= 3x^2+5x
Step-by-step explanation:
f(x)= x(x+1)(x-4)(x+8)
f(x) = x^2 + x + x^2 - 4x + x^2 + 8x
f(x) 3x^2 + 5x
The product of 7 and j is 91.
Solve for j
Answer:
j=13
Step-by-step explanation:
The equation for this problem is 7j=91.
I would divide 7 on both sides, which would be j=13.
If 0 and 3 is equal to y = 30
what is 3 and 5.5 equal to
Answer:
8.5
Step-by-step explanation:
Find the degree of the monomial.
9b6c5
The degree of the monomial is
Answer:
6
General Formulas and Concepts:
Algebra I
Terms/Coefficients/DegreesStep-by-step explanation:
Step 1: Define
9b⁶c⁵
Step 2 Identify
Our largest degree is the variable raised to the highest exponent.
b⁶ > c⁵
Therefore our degree is 6.
If f(x) = 3x - 1 and g(x) = x + 2, find (f- g)(x).
I can’t find it
Answer:
[tex](f-g)(x)=2x-3[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=3x-1\text{ and } g(x)=x+2[/tex]
And we want to find:
[tex](f-g)(x)[/tex]
This is equivalent to:
[tex]=f(x)-g(x)[/tex]
By substitution:
[tex]=(3x-1)-(x+2)[/tex]
Simplify. Distribute:
[tex]=(3x-1)+(-x-2)[/tex]
Rearrange:
[tex]=(3x-x)+(-1-2)[/tex]
Therefore:
[tex](f-g)(x)=2x-3[/tex]
Solve for x,
45=3x
Simplify your answer as much as possible,
X
What is the value of the expression 9 + ( fraction 1 over 2 )4 ⋅ 48?
Answer:
105
Step-by-step explanation:
9 + (1/2)4 x 48
9 + 96 = 105
Answer:
105
Step-by-step explanation:
SO, based on the way you worded it, the equation is
[tex]9 + 1/2 *4*48[/tex]
You multiply [tex]1/2 * 4[/tex] first.
This gives you 2. [tex]2*48=96[/tex]
96 + 9 =105
I’m stuck again on this one
Answer:
8.7 cm
Step-by-step explanation:
Since all sides of the given shape are equal, so it is a cube.
So length of the diagonal of cube is give as:
[tex]l(diagonal) = l \sqrt{3} \\ \\ = 5 \times 1.732 \\ \\ = 8.66 \\ \\ l(diagonal) \approx8.7 \: cm[/tex]
Steph needs to help her parents put a fence around their pool. They want the fence to be square and want each side to measure 6 meters. They already have 10 meters of fencing. How many more meters of fencing should they buy?
Answer:
14 more meters
Step-by-step explanation:
6 times square (4) = 24
24-10 = 14
Using Properties to Simplify Expressions
Instruction Active
Matching Equivalent Expressions
Match each expression on the left with an equivalent expression on the right
PLS HELP
Answer:
1) 2x-3 = x -3 + x
2) 2x - 6 = -6 + 2x
3) [tex]\frac{3}{5}-\frac{13}{5}=-6.9+4.9[/tex]
4) 3x+0 = 3x
5) [tex]\frac{5}{3}-x+\frac{1}{3}=-\frac{3}{2}x+2+\frac{1}{2}x[/tex]
Step-by-step explanation:
We need to match each expression on the left with an equivalent expression on the right
The expressions are equivalent if the have the same results.
1) 2x - 3
Looking at the options the best match is:
x -3 + x
When solve we get:
2x-3
So, 2x-3 = x -3 + x
2) 2x - 6
Looking at the options the best match is:
-6 + 2x
Because according to commutative property: a+b = b+a
So, 2x - 6 = -6 + 2x
3) [tex]\frac{3}{5}-\frac{13}{5}[/tex]
First simplifying the given expression:
[tex]\frac{3}{5}-\frac{13}{5}\\=\frac{3-13}{5}\\=\frac{-10}{5}\\=-2[/tex]
Looking at the options, -6.9+4.9 = -2
So, [tex]\frac{3}{5}-\frac{13}{5}=-6.9+4.9[/tex]
4) 3x + 0
Looking at the options the best match is:
3x
Because, adding 0 in 3x will result in 3x
So, 3x+0 = 3x
5) [tex]\frac{5}{3}-x+\frac{1}{3}[/tex]
First simplifying:
[tex]\frac{5}{3}-x+\frac{1}{3}\\=\frac{5-3x+1}{3}\\=\frac{6-3x}{3}\\= \frac{3(2-x)}{3}\\=2-x[/tex]
Now, solving the option: [tex]-\frac{3}{2}x+2+\frac{1}{2}x[/tex]
[tex]=\frac{-3x+4+1x}{2}\\=\frac{-2x+4}{2}\\=\frac{2(-x+2)}{2}\\=-x+2\\or\\=2-x[/tex]
So, [tex]\frac{5}{3}-x+\frac{1}{3}=-\frac{3}{2}x+2+\frac{1}{2}x[/tex]
Solve 3x − 5y = 17
9x − 15y = −4
Answer:
3x - 5y = 17
3(9) - 5(2) = 17
27 - 10 = 17
x = 9
y = 2
---------------------
9x - 15y = -4
I believe this equation has no proper solution. Every "solution" I have found ends with repeating decimals & fractions.
