Answer:
x ≤ 40
Step-by-step explanation:
Given
[tex]\frac{x}{-8}[/tex] ≥ - 5
Multiply both sides by - 8 to clear the fraction, reversing the symbol as a result of multiplying by a negative quantity.
x ≤ 40
There are 45 balloons at a party, 25 blue and 20 green. What is the ratio of
blue balloons to green balloons at the party?
A. 5:3
B. 3:5
c. 5:4
D. 4:5
Answer:
C
Step-by-step explanation:
If there are 45 balloons total, and there are more balloons, you will know that the blue balloons will have a higher ratio. The answer is C. 5:4.
Answer:
5: 4
Step-by-step explanation:
Is this a statistical question? : How many vacations did employees take last year??
Answer:
Yes,it is
Step-by-step explanation:
7) Five thousand dollars is invested at an interest rate of 3.5% compounded quarterly.
No money is deposited or withdrawn from the account. Using the formula below, determine,
to the nearest cent, how much this investment will be worth in 18 years. (A = amount,
P = principal, r= interest rate, n = number of times the interest rate compounded annually,
1 = time in years] [Show all work.]
A = P(1 + r/n)^nt
Answer: $9362.36
Step-by-step explanation:
A = P(1 + r/n)^nt
After 18 years, this investment will be worth of $9,379.45.
What is compounded interest?Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.
Compound interest is calculated by multiplying the initial principal amount (P) by one plus the annual interest rate (R) raised to the number of compound periods (nt) minus one. That means, CI = P[(1 + R)ⁿˣ – 1] Here,
P = Initial amount
R = Annual rate of interest as a percentage
n = Number of compounding periods in a given time
Given, Five thousand dollars is invested at an interest rate of 3.5% compounded quarterly.
From the above formula of compound interest
Total amount A = P(1 + r/n)^nt
In our case
p = 5000
r = 3.5%
t = 18 years
Thus,
Total amount = 5000( 1 + 3.5%)^18
Total amount = $9,379.45
therefore, this investment will be worth $9,379.45 after 18 years.
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The price of a 5-minute phone call is $1.75. What is the price of a 12-minute phone call?
The price of a 12-minute phone call is?
Answer:
$4.20
Step-by-step explanation:
you first do 1.75 divided by 5 which gives you .35
so you do .35 times 12 which gives you 4.2
The price of a 12-minute phone call is $4.2.
We have given that,
The price of a 5-minute phone call is $1.75.
We have to determine, the price of a 12-minute phone call.
What is the price?
A price is the (usually not negative) quantity of payment or compensation given by one party to another in return for goods or services.
We first 1.75 divided by 5 which gives you .35
That is,
[tex]\frac{1.75}{5} =0.35[/tex]
[tex](0.35)( 4)=4.2[/tex]
0 .35 times 12 which gives $4.2.
Therefore the price of a 12-minute phone call is $4.2.
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Simplify assume that no denominator is equal to zero (a^5b^3)(a^3b^5)
Answer:
[tex]a^{8} b^{8}[/tex]
Step-by-step explanation:
First, remember that [tex]x^{a} *x^{b} =x^{a+b}[/tex]
[tex]a^{5+3} b^{3+5}[/tex]
Simplify (5+3 and 3+5)
[tex]a^{8} b^{8}[/tex]
Hope this helped! :]
Answer:
Step-by-step explanation:
hello :
(a^5b^3)(a^3b^5)=a^8b^8=(ab)^8
To the nearest millimeter, a cell phone is 99 mm long and 78 mm wide. What is the ratio of the width to the length?
It asked for width to length, so it is really important to put the width on top and the length on bottom.
46mm
_____
84mm
Reduce the fraction, if you can use a calculator you do not need to show this part.
46/2
____
84/2
can anyone help me on this cant get it
Answer:
Yeah it's D
Step-by-step explanation:
A floor plan (shown above) has a scale where 12 inch corresponds to 6 feet of the actual home. What is the actual area of Alexis’ room?
A. 4 square feet
B. 16 square feet
C. 64 square feet
D. 144 square feet
Answer:
D. 114ft2
Step-by-step explanation:
So i checked the question online and i believe the part "a scale where 12 inch corresponds to 6 feet" should be "a scale where 1/2 inch corresponds to 6 feet"
In that case, a scale where 1/2 inch corresponds to 6 feet means
scale = 1inch to 12 feet
On the floor plan, Alexis' room is 1in by 1in
-> in reality, alexis' room is 12ft by 12ft
-> a scale where 1/2 inch corresponds to 6 feet
Find the volume. The diameter is 32 meters.
Answer:
17,148.58
Step-by-step explanation:
[tex] \frac{4}{3} \times \pi \times {r}^{3} \\ = \frac{4}{3} \times 3.14 \times 16 \times 16 \times 16 \\ = 17,148.58[/tex]
Can someone please help me with this and I need it today
Answer:
Step-by-step explanation:
rule for line c: y=x+3
x y
0 3
1 4
2 5
3 6
I was able to determine the rule because line c has a slope (m) of 1 (it goes up one and sideways one each time). Its y int. is at 3, so that means 3 is b in the equation y= mx+b
Rule for line D: y=1/2x
x y
0 0
2 1
4 2
6 3
Line d is y=1/2x becaise it goes up 1 and then sidewys 2, so slope (m)= 1/2. There is no b becase it crosses the origin.
(-2,-1) (-4,-2) (-6, -3) just extend the line with a ruler.
hope this helps! :)
Mr. Riojas is building his children a sandbox that is shaped like a triangular prism. He uses 7-foot-long wooden beams for each 'side of the base. He measures the height of the triangular base to be 6.1 feet. If he makes the sandbox 1 foot tall, how much sand will he need to fill it?
Answer:
21.35 [tex]ft^{3}[/tex]
Step-by-step explanation:
It is given that the box is a triangular prism.
Side of Base of prism = 7 ft
Height of Base of prism = 6.1 ft
Area of a triangle is given as:
[tex]B = \dfrac{1}{2} \times \text {Base} \times \text{Height}[/tex]
[tex]\Rightarrow \dfrac{1}{2} \times 7 \times 6.1\\\Rightarrow 21.35\ ft^{2}[/tex]
Volume of a prism is:
[tex]V = B \times h[/tex]
B is the area of base of prism
h is the height of prism
Here, h = 1 foot
So, V = 21.35 [tex]\times[/tex] 1
Volume of prism is = 21.35 [tex]ft^{3}[/tex]
Sand required to fill the triangular prism shape box is 21.35 [tex]ft^{3}[/tex].
What percentage increase occurs in the price of a round-trip economy plane ticket from New York to London by electing to go first-class as opposed to going on the regular economy class?
Answer:
71.1%
Step-by-step explanation:
help me out pleaseeeee
Answer:
c) Quadratic Formula
-3(4x+5) please help
30 POINTS AND BRAINLIEST YK U WANT IT! PLZ ANSWER LOL!
Answer:
What needs to be answered? There's no question.
Step-by-step explanation:
Solve the following pair of linear equation using Cross multiplication
method
2x + 3y = 46; 3x + 5y = 74
Answer:
2x + 3y = 46
3x + 5y = 74
Multiply 1st equation by 3 and 2nd equation by 2:
6x + 9y = 138
6x + 10y = 148
Subtract 2nd equation to 1st equation:
=> y = 148 - 138 = 10
=> 2x + 3*10 = 46
=> 2x = 16
=> x = 8
Hope this helps!
:)
A number cube is rolled three times. What is the probability of rolling three even numbers? Hint: It's not 5/10 :(
Answer: 2/3
Step-by-step explanation:
Answer:
1/2
Step by step explanation:
A bride is going to choose 4 bridesmaids from a group of 10. In how many ways can she choose 4 bridesmaids?
Answer:
210
Step-by-step explanation:
This is the problem of combination.
Number of ways of choosing x thing out n different thing is given by
[tex]{n \choose x} = n!/x!(n-x)![/tex]
___________________________________________
The number of bridesmaids = 10
number of bridesmaids, bride can choose = 4
Thus, Number of ways of choosing 4 bridesmaids thing out 10 bridesmaids is given by
[tex]{10 \choose 4} = 10!/4!(10-4)! = 10!/4!6!\\=> 10*9*8*7*6!/4*3*2*1 *6! = 5*3*2*7 = 210[/tex]
Thus, in 210 ways can she choose 4 bridesmaids.
Answer: 210
Step-by-step explanation:
Lucas built a composite solid by joining 12 identical blocks, with dimensions 4 inches by 5 inches by 7 inches, into three
rows of four as shown
What is the total surface area of the composite solid?
521 square inches
1,042 square inches
1,072 square inches
1,992 square inches
Answer:
the correct answer is b .
Step-by-step explanation:
Find the area to the rhombus
Answer:
120 cm^2
Step-by-step explanation:
area of a rhombus is pq/2
that means that the product of the two diagonals divided by 2 is the area of the rhombus.
so that means one diagonal is 24 and one is 10, (we are given what half of both diagonals are so just multiply by 2)
now put it in the formula
24x10 = 240
now divide by 2
240/2 = 120
check again with google if u disagree
B is the intersection of line AC and line ED. Find the measure of each of the angles.
The measure of angle ABF
The measure of angle ABD
The measure of angle EBC
The measure of angle FBC
The measure of angle DBG
Answer:
m∠ ABF = 130°, m∠ ABD = 50°, m∠ EBC = 70°, m∠ FBC = 50°, m ∠ DBG = 45°
Step-by-step explanation:
Take a look at the picture below;
Jane wants to edge her garden with brick. All sides are equal. The brick costs $5 per yard. What is the perimeter of the garden? How much will it cost to buy the edging she needs?
Answer:
$45 for the cost and 9 for the perimeter.
Step-by-step explanation:
hope it helps you !!
Answer: perimeter is 96 ft
and it will cost 160
Step-by-step explanation:
The function h(x) is defined by the expression x2 - 4x + 3. Use factoring
to determine the zeros of h(x). Show your work and explain how you could
also find the zeros on the graph of h(x) on paper, but ONLY enter the zeros
as your answer on the form.
(this question was from a google form)
Answer:
The zeros are x = 1 and x = 3
In the picture attached, the graph of the function is shown. The zeros are those points where h(x) intersect x-axis.
Step-by-step explanation:
Given the expression:
x² - 4x + 3
Rewrite -4x term:
x² - x - 3x + 3
Take x as common factor in the first terms, and -3 in the last terms:
x(x - 1) - 3(x - 1)
Take (x - 1) as common factor:
h(x) = (x - 1)(x - 3)
PLZ HELP 20 POINT
Lucia's credit card company calculates a finance charge based upon a periodic rate of 1.92% on all unpaid balances. If Lucia has an unpaid balance of $212.53, determine the finance charge that she will be assessed.
Round your answer to two decimal places.
$214.45
$210.61
$408.06
$4.08
Answer:
$1.98
Step-by-step explanation:
125.89 x 0.0157 = 1.97 rounded to 1.98
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A car dealership sold 78 cars in April. The dealership wants to increase the number of cars sold by 30% in
May. How many cars will the dealership need to sell to reach their goal?
Answer:
111 cars
Step-by-step explanation:
30% of 78 is
78×30%=78×0.3=23.4
Cars needed to sell
78+23.4=111.4
Unless we can't have 0.4 of a car, we need to round that number, so 111.4≈111
The number of cars the dealership need to sell in May to reach their goal is 101.4 cars.
Given the following data:
Number of cars sold in April = 78 carsPercentage increase = 30%To find the number of cars the dealership need to sell to reach their goal:
Mathematically, percentage increase is given by the formula:
[tex]Perecent\;increase = \frac{New\;value - Old\;value}{Old\;value} \times 100[/tex]
Substituting the given parameters into the formula, we have;
[tex]30 = \frac{New\;value -78}{78}\times 100\\\\2340=100New\;value -7800\\\\100New\;value = 7800+2340\\\\100New\;value=10140\\\\New\;value=\frac{10140}{100}[/tex]
New value = 101.4 cars
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Jivesh is analyzing the flight of a few of his model rockets with various equations. In each equation, h is
the height of the rocket in centimeters, and the rocket was fired from the ground at time t = 0, where t is
measured in seconds.
Jivesh also has a more powerful Model B rocket. For this rocket, he uses the equation h =-81012+1,980t.
When is the height of the Model B rocket 1,210 centimeters? Round your answers to the nearest
hundredth.
After how t “” seconds, the rocket will have reached a height of 1,210 centimeters
Answer:
1.22 s
Step-by-step explanation:
h = -810t² + 1980t
This is the equation of a parabola.
We must solve the equation to find the maximum height (h).
The coefficient of x² is negative, so the parabola opens downward, and the vertex is a maximum.
One way to solve this problem is to convert the equation to the vertex form.
We do that by completing the square.
Calculation:
h = -810t² + 1980t
Divide both sides by -810 to make the coefficient of t² equal to 1.
(-1/810)h = t² - (22/9)t
Square half the coefficient of t
(-11/9)² = 121/81
Add and subtract it on the right-hand side
(-1/810)h = t² - (22/9)t + 121/81 - 121/81
Write the first three terms as the square of a binomial
(-1/810)h = (t - ¹¹/₉)² -121/81
Multiply both sides by -810
h = -810(t - ¹¹/₉)² + 1210
You have converted your equation to the vertex form of a parabola:
y = a(t - h)² + k = 0,
where (h, k) is the vertex.
h = ¹¹/₉ and k = 1210, so the vertex is at (¹¹/₉, 2100).
The maximum height of the rocket is 2100 cm.
After ¹¹/₉ s ≈ 1.22 s, the rocket will have reached a height of 1210 cm.
The graph below shows the rocket reaching 1210 cm at 1.22 s.
The shape has an area of 60 square inches. Find the value of x.
Answer:
8 inches
Step-by-step explanation:
ROCK is a kite. The area of a kite is denoted by:
A = (1/2) * d1 * d2, where d1 and d2 are the diagonals
Here, the two diagonals are x and 15, and we know the area is 60, so plug these into the equation:
A = (1/2) * d1 * d2
A = (1/2) * 15 * x
60 = (1/2) * 15 * x
x = 120 / 15 = 8
Thus, x = 8 inches.
Answer:
[tex]8 \: \: inch[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Find a whole number between 3.75 and root 36 .
Answer:
The whole numbers between 3.75 and 6 is 4 and 5
solve for y in x+0.25y=1.5
Answer:
Y=-4x+6
Step-by-step explanation:
Step 1: Add -x to both sides.
X+0.25y+-x=1.5+-x
0.25y=-x+1.5
Step 2: Divide both sides by 0.25.
0.25y/0.25=-x+1.5/0.25
Y=-4x+6
Hope I helped
A food worker needs to cool a large pot of soup.
How should the food worker cool the soup?
Answer:
1) The worker can keep the soup in a container with a large surface area as evaporation will occur faster
2) The worker and keep the soup near a fan, cooling the soup
3) The worker keep the soup in a dry area as moisture reduces the rate of evaporation