Answer:
a(t)=10000+1.08t
Step-by-step explanation:
t
1
2
3
Alt)
10,800.00
11,664.00
12,597.12
Solve the equation
-2(2x - 4) = 4x
Write it step by step. I really need help
Answer:
x = 1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−2(2x−4)=4x
(−2)(2x)+(−2)(−4)=4x(Distribute)
−4x+8=4x
Step 2: Subtract 4x from both sides.
−4x+8−4x=4x−4x
−8x+8=0
Step 3: Subtract 8 from both sides.
−8x+8−8=0−8
−8x=−8
Step 4: Divide both sides by -8.
find the zero of the function h(x) = 4x+2
Answer:
[tex]x=-1/2=-0.5[/tex]
Step-by-step explanation:
So we have the function:
[tex]h(x)=4x+2[/tex]
To find the zero(s) of a function, set the function equal to 0 and solve for x. So:
[tex]0=4x+2[/tex]
Subtract 2 from both sides:
[tex]-2=4x[/tex]
Divide both sides by 4:
[tex]x=-1/2=-0.5[/tex]
So, the zero of the function is -0.5.
This means that the graph (a line) crosses the x-axis at (-0.5, 0).
#1 Shane bought 4 shirts for $17 and 4 pants. He spent a total of $71.
How much did each pant cost?
#2 Julie has 4 more apples than Sam. Julie and Sam have a total of 30
apples. Find the number of apples Julie has
Help me out please
the price of gravel is $24 for every 3/8 ton. kate wants to know the price of 2 tons of gravel
Answer:
$128
Step-by-step explanation:
your looking for 16/8, divide 16 by 3, leaving you with 5.333...
now times that by $24, and you have your answer hope this helps
The price of 2 tons of gravel is $128.
Given:
The price of gravel is $24 for every [tex]\dfrac{3}{8}[/tex] ton.
To find:
The price of 2 tons of gravel.
Explanation:
Let [tex]x[/tex] be the price of 1 ton of gravel.
Then the price of [tex]\dfrac{3}{8}[/tex] ton is [tex]\dfrac{3}{8}x[/tex] and the price of 2 tons of gravel is [tex]2x[/tex].
It is given that the price of gravel is $24 for every [tex]\dfrac{3}{8}[/tex] ton.
[tex]\dfrac{3}{8}x=24[/tex]
[tex]x=\dfrac{8}{3}\times 24[/tex]
[tex]x=8\times 8[/tex]
[tex]x=64[/tex]
Now, the price of 2 tons of gravel is:
[tex]2x=2(64)[/tex]
[tex]2x=128[/tex]
Therefore, the price of 2 tons of gravel is $128.
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I was reading a book last night that said about 2/3 of Americans attend college, and about 40 percent of those actually graduate. So, about what percent of Americans actually earn college degrees?
Answer:
26.67% Of Americans earn college degrees.
Step-by-step explanation:
[tex]\frac{2}{3} *40 = 26.67[/tex]
In a florist shop, the ratio of roses to tulips is 5 : 3. The shop has 72 tulips on Friday morning. If the florist uses up half of each type of flower to fill an order, will the ratio of roses to tulips in the shop change?
Answer: it’s 60 and 36
Step-by-step explanation:
Raul and his friends, each of whom weighs 1/20 of a ton, are standing on a truck scale. The total weight shown by the scale is 3/4. How can you find the total number of people on the scale when raul and his friends are weighed?
Answer:
There are 15 friends
Step-by-step explanation:
The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. That is, what is intended with it is to find the fourth term of a proportion knowing the other three.
If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) in the same proportion, the rule of three applies as follows:
a ⇒ b
c ⇒ x
Then: [tex]x=\frac{c*b}{a}[/tex]
where a, b and c are known values and x is the value to be calculated.
In this case, the rule of three applies as follows: if 1/20 of a ton is the weight of 1 person, 3/4 of a ton is the weight of how many people?
[tex]number of people =\frac{\frac{3}{4} of a ton*1 person }{\frac{1}{20} of a ton}[/tex]
or, what is the same,
number of people* [tex]\frac{1}{20}[/tex] = [tex]\frac{3}{4}[/tex]
Solving:
number of people= 15
There are 15 friends
LAST ONE GUYSSS \small \angle L and \small \angle M are supplementary, \small m\angle L=12x+45 and \small m\angle M=18x-30. Determine the measure of each angle
Answer:
[tex] m\angle L = 111\degree \\
m\angle M = 69\degree [/tex]
Step-by-step explanation:
Since, angle L and angle M are supplementary.
[tex]\therefore m\angle L + m\angle M= 180\degree \\ \therefore \: 12x + 45 + 18x - 30 = 180 \degree \\ \therefore \: 30x + 15= 180 \degree\\ \therefore \: 30x= 180 \degree - 15 \degree\\ \therefore \: 30x= 165 \degree \\ x = \frac{165 \degree}{30} \\ x = 5.5 \degree \\ \\ m\angle L = 12x + 45 \\ m\angle L = 12 \times 5.5 + 45 \\ m\angle L = 66 + 45 \\ \huge \red{ \boxed{ m\angle L = 111 \degree}} \\ \\ m\angle M=18x - 30 \\ m\angle M=18 \times 5.5 - 30 \\ m\angle M=99 - 30 \\ \huge \purple{ \boxed{ m\angle M=69 \degree}} \\ [/tex]
Three is less than the sum of a number 8 and 4
Answer:
3<x+12
Step-by-step explanation:
which expression is equivalent to the given expression. 3(x-7)+4(x^2-3x+9)
4x^2-5x+15 is the answer.
Step-by-step explanation:
= 3(x-7) + 4(x² - 2x + 9)
= 3x - 21 + 4x² - 8x + 36
= 4x² + 3x - 8x + 36 - 21
= 4x² - 5x + 15
Please help me!!!!!!!!
A driver needs to make a delivery to an office that is 30 km away. The driver has traveled for 45 minutes west down a straight road at 50 km/h.
Has the driver traveled far enough to reach the office? Support your response.
Answer:
The driver has made it far enough to reach the office
Step-by-step explanation:
1,1
9 t-shirts cost £49.05. How much do 13 t-shirts cost
(-4, 6) and (3,-7) how do I solve this?
Answer: - 13/7
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5
The actual distance between the library and train station is 500 ft. Explain how you
could find the distance between them in centimeters on the map.
Answer:
15,420 cm
Step-by-step explanation:
Given the actual distance between the library and train station to be 500 ft, to find the distance between them in centimeters, we ill convert 500 ft to cm as shown;
Given the conversion:
1 ft = 30.48cm
500ft = x cm
Cross multiply
x cm * 1ft= 30.48 cm * 500ft
x cm = 30.48 cm * 500ft/1ft
x cm = 15,240 cm
Hence the distance between them in centimeters on the map is 15,420 cm
Find the value of x for the following situation: the line containing (8,7) and (7,-6) is perpendicular to the line containing (2,4) and (x,3)
Answer:
x=14
Step-by-step explanation:
Answer: x=14
Step-by-step explanation:
7. A recipe for 12 people needs the following ingredients. Brian is going to adjust the recipe
for 3 people.
4 whole eggs
4 1/4cups of sugar
7 cups of flour
41/2cups of milk.
Part A
How much flour will Brian need if he is making it for 3 people?
Part B
How much sugar will be needed if he is making it for 3 people?
Answer:
A. Brian will need 1.75 (1 3/4) cups of flour
B. Brian will need 1 1/16 cups of sugar
Step-by-step explanation:
Brian wants to make it for 3 people, so everything must be divided by 4 since 12/4=3.
7/4=1.75
4 1/4 divided by 4=1 1/16
Answer:A is 21 cups of flour and B is 12 3/4 cups of sugar
Step-by-step explanation:
A is 21 because 7x3 is 21 and B because 4 1/4x3 equals 12 and 3/4 cups
Find the mode:
3.8, 4.2, 4.0, 4.2, 4.2
Answer:
mode = maximum repeated item
here mode = 4.2
Construct a frequency distribution and a frequency histogram for the data set using the indicated number of classes. Describe any patterns. Number of classes: 8 Data set: Finishing times (in seconds) of 20 male participants in a 5K race
Answer and Explanation:
Number of classes = 8
Highest value =2300
Lowest value = 1250
Class width= highest value – lowest value / number of classes
= 2300 – 1250/8
= 131.25 = 132
So, we can write class as 1250+132=1382
Class frequency
1250-1382 2
1382-1514 3
1514-1646 6
1646-1778 2
1778-1910 3
1910-2042 2
2042-2174 1
2174-2306 1
a. About how far is it from Amarillo to Oklahoma City? Explain your reasoning. b. Driving at a constant speed of 70 miles per hour, will it be possible to make this trip in 3 hours? Explain how you know.
Answer:
They are 260 miles apart. No it would not be possible.
Step-by-step explanation:
If they are 260 miles apart and you drive at a constant speed on 70mph. You will have to 260/70 which = 3.7 or 4 so it would not be possible.
Amarillo and Oklahoma City are [tex]260[/tex] miles apart.
It is not possible to make this trip in [tex]3[/tex] hours.
By using any geographical tool, such as the local map or you can use internet too to find the distance between Amarillo and Oklahoma City.
Amarillo and Oklahoma City are [tex]260[/tex] miles apart.
[tex]Speed = \frac{Distance}{Time}[/tex]
[tex]Time = \frac{Distance}{Speed}[/tex]
[tex]Time = \frac{260}{70}[/tex]
Time [tex]= 3.714[/tex] hours
So, it is not possible to make this trip in [tex]3[/tex] hours.
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A store sold 4 pen drives and 10 hard drives on the first weekend and made 200 dollars, in the second weekend the store sold 6 pen drives and 14 hard drives and made 290 dollars? what is the price of pen drive and hard drive
Answer:
THE ANSWER SHOULD BE 14
Step-by-step explanation:
JHJHUUYUU
Can someone answer fast?
Which of the following rules describes the function graphed below?
I have no idea how to do this
Answer:
I would say c im not 100% sure sorry if i got it wrong
Step-by-step explanation:
A box can hold 9 books. There are only 5 books in the box. What percentage of the box is full? 56% 80% 1.8% 44%
Answer:
I do believe that the answer would be 56%
Step-by-step explanation:
Using estimation if the box is half full it would have 4.5 books in the box, if you add that extra book it would be around 56%
Express each number in scientific notation 4,672,000
Answer:
4×1000000 6×100000 7×10000 2×1000
Step-by-step explanation:
Answer:
[tex]4.672 * 10^{6}[/tex]
Step-by-step explanation:
move the orginial number 6 decimal points to the left to determine its scientific notation
4672000
467200.0
46720.00
4672.000
467.2000
46.72000
4.672000
Round 9.492 to the nearest tenth.
Answer:
9.5
Step-by-step explanation:
The correct answer is 9.5 because 9.49 is closer to 9.5 than 9.4
Answer:
9.5
Step-by-step explanation:
9.492 to the nearest tenth
First you would round 0.092, which would just be 0.09 because 2 is less than 5. You would then have 9.49. You would then round the 0.49, and since 9 is greater than 5, it would be 9.5 because 9 would round to 10.
Determine the answer to 3 + (−5) and explain the steps using a number line and its not -2 because i tried and she said it was wrong my teacher.HELPPP!!!!!!!!!!!
Answer:
-2
Step-by-step explanation:
Here is a number line:
<-------+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+------>
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Start at 3, marked with an S below:
<-------+-----+-----+-----+-----+-----+-----+-----+-----+-----S----+-----+-----+------>
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Since you are adding a negative number, -5, count 5 numbers to the left starting on P which corresponds to 3.
5<---4<---3<----2<---1<---Start
<-------+-----+-----+-----+-----E-----+-----+-----+-----+-----S----+-----+-----+------>
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
You end up at E which corresponds to -2.
Therefore, -5 added to 3 is -2.
I don't know how your teacher can say that 3 + (-5) is not -2 since -2 is the correct answer. Perhaps you should check on the question to make sure it really is 3 + (-5) and not something else.
combining like terms with negative coefficients and distribution
-5(3x+10)-2(4x-5) ?
Answer:
-23x-40
Step-by-step explanation:
-5(3x+10)-2(4x-5)-15x-50-8x+10-23x-40how many times does 193 go into 700
Answer:
3 times
Step-by-step explanation:
if we look at 193 times 1 its 193, times 2, its 386, times 3, 579 with a remainder of 131
Residents who live in the city receive power from the city’s power plant. If the city is a square, approximately how wide is the city if the area is 200 square miles?
Answer the question in the photo
Answer:
10
Step-by-step explanation:
-15+10=-5
Please Help :)
What is the distance between the points in the image below?
Answer:
5?
Step-by-step explanation:
You start from negative -1 and you got all the way to 4, so the distance in-between the objects are 5