20 minutes = 1/3 hours
let the distance be S
recall that time taken = distance/velocity
so, the time taken when travelling at 30 mph is S/30
and the time taken when travelling at 40 mph is S/40
therefore
S/30 - S/40 = 1/3
multiply through by 120
4S - 3S = 40
S = 40
distance = 40 miles
Evalúa ab-0.5bab−0.5ba, b, minus, 0, point, 5, b cuando a=1a=1a, equals, 1 y b=5b=5b, equals, 5.
Answer:
4.5
Step-by-step explanation:
Given the expression ab-0.5
We are to evaluate the expression if a =1 and b = 5
ab- 0.5
= 1(5) - 0.5
= 5 - 0.5
= 4.5
Hence the required result is 4.5
Give the angle classification of the triangle
with side lengths 3 cm, 5 cm, and 7 cm.
Given:
The sides of a triangle are 3 cm, 5 cm, 7 cm.
To find:
The angle classification of the given triangle.
Solution:
Let a,b,c are the three sides of a triangle ABC, where c is the longest side.
1. Triangle ABC is acute, if [tex]c^2<a^2+b^2[/tex].
2. Triangle ABC is acute, if [tex]c^2=a^2+b^2[/tex].
3. Triangle ABC is acute, if [tex]c^2>a^2+b^2[/tex].
The sum of square of two smaller sides is
[tex]3^2+5^2=9+25[/tex]
[tex]3^2+5^2=34[/tex]
In the given triangle 7 cm is the longest sides. So,
[tex]7^2=49[/tex]
It means,
[tex]7^2>3^2+5^2[/tex]
Since [tex]c^2>a^2+b^2[/tex], therefore, the triangle ABC is an acute triangle.
A pair of shoes is on sale for 15% off. With this discount, customers will save
$9 if they buy the shoes,
Part A
In this situation, what is the PART, WHOLE, and PERCENT?
15% is the percent
$9 is the Part
and the original price is the
Whole
Part B
What was the original price of the shoes?
$ 1.35
A + B - _____ = B
PLEASE HELP
Answer:
A
Step-by-step explanation:
Because if you subtract A from A it gets rid of A leaving only B left.
Complete the sentence
Answer: b, d
Step-by-step explanation:
Corresponding angles are formed when two parallel straight lines are cut by a transversal
[tex]\angle b=62^{\circ}[/tex]
In the figure, [tex]\angle d\ \text{and}\ 62^{\circ}[/tex] are alternate angle
[tex]\therefore \angle d=62^{\circ}[/tex]
Each fully colored ten block represents 1 whole the number represent above will be divided into 11 equal part how many squares need to be colored
Given:
Some boxes are fully colored.
Each fully colored ten block represents 1 whole.
The number of colored boxes will be divided into 11 equal part.
To find:
The number of squares need to be colored on each of the 10 blocks.
Step-by-step explanation:
From the given figure, it is clear that,
Number of colored box = 55
The number of colored box will be divided into 11.
[tex]\dfrac{55}{11}=5[/tex]
Therefore, 5 squares need to be colored on each of the 10 blocks.
Charlie buys a pack of 8 thank you cards for $1.20 using the nickels shown below. How much does he spend on each thank you card?
Answer:
15 cents each
Step-by-step explanation:
you divide 1.20 by 8
HELP URGENT pleasssssseee
Answer:
your question is not clear so how can I help you
Answer:
iyut lang Yan
idol Yan Ang tamang sagot thank me later
Help pls quick!!!!ALSO TY
Step-by-step explanation:
6: (5×7)+ (2×9)= 53
7: (6×2)× (3×8) +4= 40
question 8, i havent learnt it yet
Answer:
3. is triangle (3 sides)
4. is pentagon (5 sides)
5. hexagon (6 sides)
Let's say Jose deposited $2,700 into a CD account with an Annual Percentage Rate
(APR) of 4%, compounded annually, and he must leave it in the account for at least 5
years.
Answer:
$3283.2
Step-by-step explanation:
Given data
Principal= $2700
Rate= 4%
Time= 5 years
Required
the final Amount A
The compound interest formula is
A=P(1+r)^t
Substitute
A=2700(1+0.04)^5
A=2700(1.04)^5
A=2700*1.216
A=$3283.2
Hence the balance in the account after 5 years is $3283.2
52,75,90,48,90 whats the range of these scores
Answer:
42
Step-by-step explanation:
Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is
90−48=42
I suck at word problems and am kind of confused on what I am supposed to do here?
need help with this top problem please!
Answer:
y ≈ 88.54207824°
Step-by-step explanation:
Law of Sines Formula:
[tex]\frac{sinA}{a} = \frac{sinB}{b}[/tex]
[tex]\frac{sin 51}{83} = \frac{sin 56}{y}\\y = \frac{sin 56 * 83}{sin 51}[/tex]
y ≈ 88.54207824°
When solving the system of equations 3x−3y=1 and −2x+4y=2 algebraically, a good first step is to:
A. Multiply 3x−3y=1 by 2, and multiply −2x+4y=2 by 3.
B. Multiply 3x−3y=1 by 3, and multiply −2x+4y=2 by −2.
C. Rewrite both equations in slope-intercept form.
D. Add the equations together.
Answer:
A. Multiply 3x−3y=1 by 2, and multiply −2x+4y=2 by 3.
Step-by-step explanation:
Given
[tex]3x - 3y = 1[/tex]
[tex]-2x+ 4y = 2[/tex]
Required
A good first step
A good first step is to eliminate x and this is done as follows:
Multiply [tex]3x - 3y = 1[/tex] by 2 (gotten from coefficient of x in the second equation)
Multiply [tex]-2x+ 4y = 2[/tex] by 3 (gotten from coefficient of x in the first equation)
This gives:
[tex]6x - 6y = 2[/tex]
[tex]-6x + 12y = 6[/tex]
Add both equations
[tex]6x - 6x - 6y + 12y = 2 + 6[/tex]
[tex]6y = 8[/tex]
[tex]y = \frac{4}{3}[/tex]
Hence (a), is true
Please help me I wanna get out this class
Simplify.
Remove all perfect squares from inside the square root.
√180
Answer:
13.42
Step-by-step explanation:
[tex]\sqrt{180} =6\sqrt{5} \\\\6\sqrt{5} =13.42[/tex]
Answer:
answer: [tex]6\sqrt{5}[/tex]
Step-by-step explanation:
[tex]\sqrt{180} = \sqrt{4 * 9 * 5} \\= 2*3\sqrt{5} \\= 6\sqrt{5}[/tex]
Yolanda needs $300 to buy a TV for her room. She has already
saved $50. She earns $ 10 an hour at her job. Set up and solve an
equation to find how many hours she needs to work to buy the TV.
(Use X +
to set up the equation.)
Answer:
she will have to work 25 hours
Step-by-step explanation:
$10 per 1 hour she has $50
$300-$50=$250
10 x 25 =250
Yesterday, Carmen had b baseball cards. Today, she gave 12 away. Using , write an expression for the number of cards Carmen has left.
hi,
So carmen has b baseball cards and she gives 12 away.= b-12
So let the cards left be x
So the expression is b-12=x.
hope it helps... :-)
john made 5 dozens of chocolate chip cookies.he brought 80% of them to a school party.how many cookies did he bring?
Answer:
48
Step-by-step explanation:
5x12x80% = 48
Answer:
48
Step-by-step explanation:
5 x 12 x 80% = 48
How much would you need to deposit in an account now in order to have $3000 in the account in 15 years? Assume the account earns 3% interest compounded monthly.
Answer:
Principal = Total ÷ (1 + Rate)^years
That formula is found here: http://www.1728.org/compint2.htm
Principal = 3.000 / (1.03) ^ 15
Principal = 3.000 / 1.5579674166
Principal = $1,925.59
Step-by-step explanation:
Can you pls help me hurry thank you
Answer:
C = 188.4 cm
General Formulas and Concepts:
Math
π (pi) - 3.14159265Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Circumference Formula: C = 2πr
C is circumferencer is radiusStep-by-step explanation:
Step 1: Define
Radius r = 30 cm
Step 2: Solve for C
Substitute in r [Circumference Formula]: C = 2π(30 cm)[Circumference] Multiply: C = 60π cm[Circumference] Multiply: C = 188.4 cmI really need your help please
Answer:
Step-by-step explanation:
add them
what number is 22 more than another. Their product is -121. Find the numbers by solving the equation
Answer:
what is the answers
Step-by-step explanation:
If AC = x + 6, and AB = 15 solve for x.
8 cookies eaten in 2 minutes
Answer:
wow so what's the question then
What is 0.574 rounded to the nearest hundredth? NEED BY 2 PM! EST
Answer:
0.57
Step-by-step explanation:
The 7 is in the hundredths place. Next to it is a 4. 4 does not round up, therefore making the answer 0.57.
9x + 18 - 5x = 2 + 4x
Answer:
There are no solutions
Step-by-step explanation:
9x+18−5x=2+4x
Step 1: Simplify both sides of the equation.
9x+18−5x=2+4x
9x+18+−5x=2+4x
(9x+−5x)+(18)=4x+2(Combine Like Terms)
4x+18=4x+2
4x+18=4x+2
Step 2: Subtract 4x from both sides.
4x+18−4x=4x+2−4x
18=2
Step 3: Subtract 18 from both sides.
18−18=2−18
0=−16
Answer:
There aren't any values of x that would make the equation true.
NO SOLUTION
Hope this helped <3
Only have to do 8 and 9. 10 if you can tho please!!!!!!!
Answer:
8. a2=b2+c2 i think
9.A4 measures 210 × 297 millimeters or 8.27 × 11.69 inches I THINK
10. im not sure
Step-by-step explanation:
You randomly select an integer from 0 to 39 (inclusively) and then randomly select an integer from 0 to 4 (inclusively). What is the probability of selecting a 2 both times? The probability is nothing.
The correct value of probability of selecting a 2 both times is 1/200.
Let's calculate the correct probability.When randomly selecting an integer from 0 to 39, there is 1 favorable outcome (selecting a 2) out of 40 possible outcomes. Therefore, the probability of selecting a 2 in the first selection is 1/40.
Similarly, when randomly selecting an integer from 0 to 4, there is 1 favorable outcome (selecting a 2) out of 5 possible outcomes. Therefore, the probability of selecting a 2 in the second selection is 1/5.
To find the probability of both events happening (selecting a 2 in both selections), we multiply the individual probabilities:
P(Selecting a 2 both times) = (1/40) * (1/5) = 1/200
Therefore, the probability of selecting a 2 both times is 1/200.We are given two independent events:
Randomly selecting an integer from 0 to 39 (inclusive).
Randomly selecting an integer from 0 to 4 (inclusive).
We want to calculate the probability of selecting a 2 in both selections.
In the first selection, there is only one favorable outcome (selecting a 2)out of 40 possible outcomes (numbers from 0 to 39). Therefore, the probability of selecting a 2 in the first selection is 1/40.
In the second selection, there is again only one favorable outcome (selecting a 2) out of 5 possible outcomes (numbers from 0 to 4). So, the probability of selecting a 2 in the second selection is 1/5.
Since the two events are independent, we can multiply their individual probabilities to find the probability of both events happening.
Probability of selecting a 2 in both selections = (1/40) * (1/5) = 1/200Therefore, the probability of randomly selecting a 2 in both selections is 1/200. This means that out of all possible outcomes, there is a 1 in 200 chance of selecting a 2 in both selections.
Learn more about Probability here:
https://brainly.com/question/23417919
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add the complex numbers: (4 + 8j) + (-2 - j)
Answer:
7j+2 or 2+7j
Step-by-step explanation:
(4+8j)+(−2−j)
Subtract 2 from 4 to get 2.
2+8j−j
Combine 8j and −j to get 7j.
2+7j