Answer:
x = 50 mph speed of the bus
y = 75 mph speed of the train
Step-by-step explanation:
Lt´s call "x" speed of bus and "y" speed of train.
According to the problem statement
6*x = 4*y (1)
y = x + 25 (2)
We solve for x and y the two equation system
y = ( 6/4)*x
( 6/4)*x = x + 25
6*x = 4*x + 100
2*x = 100
x = 50 mph
And
y = (6/4)*x
y = 300/4
y = 75 mh
Find the area of the rectangle.
(8x+5) yards
(8x-5) yards
Step-by-step explanation: To find the area, we can use the F.O.I.L. method.
Notice that these two binomials are identical except
that one has a plus and one has a minus.
These types of binomials are called conjugates.
If you're asked to F.O.I.L. two conjugates, you can
ignore the outer and inner products,
knowing they will cancel each other out.
So the answer to this problem comes from the product
of the first terms and the product of the last terms.
So our answer is 64x² - 25.
I don't know this problem
Answer:
Answers below
Step-by-step explanation:
A linear pair of angles is formed when two lines intersect.
Two angles are linear if they are adjacent angles formed by two intersecting lines.
Since the measure of a straight angle is 180°, a linear pair of angles must add up to 180°.
1. Two angles that add up to 180° are called supplementary.
2. The image shows a linear pair of angles. On the left side, the angle measures 2x, on the right side, the angle measures x+30. Since the sum is 180°:
2x + x + 30 = 180
Simplifying:
3x + 30 = 180
Subtracting 30:
3x = 180 - 30 = 150
Dividing by 3=
x = 150 / 3 = 50
x = 50°
3. The angle on the left is 2x = 100°
Angle measure on the left = 100°
4. The angle on the right is x+30 = 80°
Angle measure on the right = 80°
Joe went shopping for holiday gifts for her family. She has a budget of $150. She has 15 people to purchase a gift for, but also would like to spend $30 on her self. Write and solve an inequality to determine the maximum amount she can spend on her family.
Suppose your family spent $2438.67 on home energy last year. Estimate the amount spent on heating and cooling, rounded to the nearest hundred.
Answer:
The answer is "1200".
Step-by-step explanation:
The percentage value for [tex]\frac{heating}{cooling}= (48 \% )[/tex]
So,
[tex]\to 2438.67 \times \frac{48}{100} \\\\\\\to 117,056.16 \times \frac{1}{100}\\\\\to 1170.5616\\\\[/tex]
rounding the value into the nearest hundred =1200
NEED DONE ASAP PLEASE!!! 25points
Answer:
b i belive i may be incorrect
Step-by-step explanation:
Answer:
it is the second one :)
Step-by-step explanation:
:)
The owner of a grocery store wants to mix two kinds of candy together to make 15 lb that he can sell for $5.00 per lb. He wants to use chocolate candies that he sells for $7.00 per lb and sugar candies that he sells for $2.00 per lb. How many pounds of each should the owner use?
_ pounds of chocolate candies
_ pounds of sugar candies
=OWO=
Answer: 9 pounds of chocolate and 6 pounds of sugar candies
Let's define the variables:
C = pounds of chocolate candies used.
S = pounds of sugar candies used.
We know that he wants to make a total of 15lb, then:
C + S = 15
We also want that the price per pound to be equal to 5$.
This means that the price of the 15 pounds will be the same as the price of the un-mixed candies.
C*$7.00 + $2.00*S = $5.00*15
Then we have a system of equations:
C + S = 15
C*$7.00 + $2.00*S = $5.00*15
To solve this system, we need to start by isolating one of the variables, i will isolate C in the first equation:
C = 15 - S
now we can replace that in the other equation:
(15 - S)*$7.00 + $2.00*S = $5.00*15
Now we can solve this for S.
$105 - $5.00*S = $75
$105 - $75 = $5.00*S
$30 = $5.00*S
$30/$5 = S = 6
Then there are 6 pounds of sugar candy, and we can use the equation:
C + S = 15
C + 6 = 15
C = 15 - 6 = 9
There are 9 pounds of chocolate candy in the mix.
Step-by-step explanation:
By writing and solving a system of equations, we will see that the owner must use 6 lb of the chocolate candies and 9 lb of the sugar candies.
Let's define two variables:
x = pounds of chocolate candies usedy = pounds of sugar candies used.Then, using the given information, we will have that:
x + y = 15
x*$7.00 + y*$2.00 = $5.00*15
If we isolate x in the first equation we get:
x = 15 - y
Now we can replace that in the second equation to get:
(15 - y)*$7.00 + y*$2.00 = $75
$105 - y*$5.00 = $75
$105 - $75 = y*$5.00
$30 = y*$5.00
$30/$5 = y = 6
So the owner must use 6 pounds of the chocolate candies, and the other 9 pounds of the sugar candies.
If you want to learn more, you can read:
https://brainly.com/question/12895249
If lines a and b are parallel, which conclusion and reason is valid? PLEASE HELP MEEEE
whats the equality of J+12>14
-
Answer:
J has to be at least 3
Step-by-step explanation:
Answer:
J>2
Step-by-step explanation:
First you have subtract 12 on both side
Second your equation will look like this J+12-12>14-12
Third Your equation will look like this J>2
Read this excerpt from A Black Hole is NOT a Hole.
Luckily, you can visit a black hole with your imagination. Fueled by facts, you can blast off to a black hole or two and find out what might happen once you arrive.
What does the author mean?
Imagination is not helpful when studying for a science test.
Facts decrease creativity when a reader cannot experience something firsthand.
Facts allow a reader to envision what they cannot experience firsthand.
Imagination is useful when writing a research paper.
Answer:
I think the author is meaning to tell you to use your imagination to think about what will happen when you enter. You don’t know until you through it.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Sorry if this is wrong its one of those edge quizes that dosnt tell you if you got it right or not.
Which of the following is equal to 51/3?
Answer:
17 hope this helps
Step-by-step explanation:
Solve: |x - 4| = 0
Help if can
Answer:
answer is x=4 I'm pretty sure
Step-by-step explanation:
I used a calculator
Answer:
x=4
Step-by-step explanation:
If you plug 4 in, 4-4=0 and the absolute value will not change anything.
A 18,000 gallon swimming pool contains 7000 gallons of water when a hose is placed in the pool and begins adding water at a rate of 1100 gallons per hour
Use the Segment tool to plot a graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full.
Volume of Water in Pool
Answer:
if you put a point at 5,000 and then another at (20,000, 12)
Step-by-step explanation:
i did the other answer and it was wrong
The graph representing the volume of water in the pool over time is illustrated in the graph.
How to illustrate the graph?The problem can be presented by a simple linear equation:
y =mx + b
where
x is the time (hour)
y is the amount of water in x hours
m is the rate of water being added
b is the initial amount of water
y = 1100x + 7000
Learn more about graphs on:
https://brainly.com/question/19040584
Help pls if u can pls
Answer and Step-by-step explanation:
8. HL theorem - Has a right angle and the legs.
9. ASA - Angle A is congruent to angle B because of interior angles theorem, side AM is congruent to side MB because of midpoint theorem, angle AMC is congruent to angle BMD because of vertical angles theorem.
10. SSS - The two sides are congruent, and the hypotenuse is shared, making it congruent.
11. SAS - The two sides are congruent, and the angle between the congruent sides are congruent.
#teamtrees #WAP (Water And Plant)
8. RHS congruence rule
9. SAS congruence rule
10. SSS congruence rule
11. SAS congruence rule
Help Me!! Please. Its important
Answer:
answer to 3 is
Step-by-step explanation:
1 hour = 0.7
2 hours = 1.4
3 hours = 2.1
4 hours = 2.8
5 hours = 3.5
6 hours = 4.2
7 hours = 4.9
8 hours= 5.6
9 hours= 6.3
10 hours= 7.0
11 hours = 7.7
12 hours =8.4
what is 25% of 49,490
Answer:
12,372.5
Step-by-step explanation:
49,490 * 0.25 = 12,372.5
Answer:
12372.5
Step-by-step explanation:
Multiply 49490 by 25 then divide by 100
Hope it helps
How many integers between 27 and 53 have a remainder of 4 divided by 6
Answer:
There are 4 integers between 27 and 53 that have a remainder of 4 divided by 6.
Step-by-step explanation:
At first we need to find which integers between 27 and 53 are divisible by 6, which are, respectively:
[tex]A =\{30, 36, 42, 48\}[/tex]
All integers that have a remainder of 4 divided by 6 are found by summing 4 to each element of A, that is:
[tex]A' = \{34,40,46, 52\}[/tex]
There are 4 integers between 27 and 53 that have a remainder of 4 divided by 6.
10. Which of the following represents a linear function? *
I The area of a square in relation to its side
II The area of a circle in relation to its radius
III The perimeter of a square in relation to its side
IV The circumference of a circle in relation to its diameter
(a) I only
(b) II & III
(c) III & IV
(d) IV only
Find the Solution of the equation -2x + 7 = 7
Answer:
x = 0
Step-by-step explanation:
-2 x 0 + 7 = 7
-2 x 0 = 0
0 + 7 = 7
elm st. and spruce st. are parallel what is m<1
Answer:
The measure is 68
Step-by-step explanation:
180-112 = 68
side alternate exterior (supplementary)
The measure of angle 1 will be equal to 68.
What are supplementary angles?The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet. The supplementary angle is defined as the angle having the sum of 180 degrees.
Given that there are two parallel lines intersecting one line at an angle of 112. The angle 1 will be calculated as:-
The angle will be calculated as follows:-
∠1 + 112 = 180
∠1 = 180 - 112 = 68
Therefore, the measure of angle 1 will be equal to 68.
To know more about supplementary angles follow
https://brainly.com/question/2046046
#SPJ5
You earned a 90% on a science test. You answered 18 questions
correctly. How many questions were on the test?
Answer:
20 questions
Step-by-step explanation:
10 divided by 20 is 0.9 which would be 90%
What is 26/15 as a whole number?
Answer:
1 11/15
Step-by-step explanation:
Half a number minus 8 is 14.
Answer:
[tex]\frac{n}{2} -8=14[/tex]
hope this helps
Answer:
1/2-8=14
Step-by-step explanation:
I got this because half is 1/2 minus is - and eight 8 is /equal to = 14
Chaise's mom buys canned tuna for lunches. The cans are in the shape of a cylinder with the dimensions shown below.
What is the volume of the can of tuna, rounded to the nearest tenth?
Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answer:
13.81 in
Step-by-step explanation:
the radius is equal to 1.875 and the height is equal to 1.25 . Put these dimensions into the cylinder volume formula and you get 13.81 inches . (plus i got this question right on one of my tests )
algebra help quick lol
Answer:
Its the top right one
Step-by-step explanation:
One cause of major climate changes is the position of Earth relative to the _________________.
please help due in ten minutes!
thanks :)
Answer:
The recent role of the greenhouse effect
Step-by-step explanation:
Please help it would help a lot
Answer:
1/2
Step-by-step explanation:
Answer:
y÷x 1÷2=1/2 This is the answer.
Hey ppl!^-^ Can you help me with this stupid problem (◔_◔)
5^2 x 5^(-5)= ??????
Answer and Step-by-step explanation:
[tex]5^{2} * 5^{-5} \\[/tex] is [tex]\frac{1}{125}[/tex]
This is because 5 times 5 is 25.
5 to the negative 5th is 1/3125.
Multiply these together and you get 1/125.
#teamtrees #WAP (Water And Plant)
Answer:
25×1/3125=0.008
Step-by-step explanation:
1. ...using indices law of negativity it will turn to 1 over 5 raise to 5
Please help solve this question
Answer:
x = 0.59 to the nearest hundredth
Step-by-step explanation:
Look at the attached figure
The equation is 2x + [tex]e^{x}[/tex] = 3The red curve represents the left side of the equationThe blue line represents the right side of the equationThe solution of the equation is the point of intersection of the two graphs∵ There are 5 small squares between every 2 numbers on the x-axis
∴ Each square represents 0.2
∵ There are 5 small squares between every 2 numbers on the y-axis
∴ Each square represents 0.2
∵ The point of intersection between the 2 graphs is nearest to
the 3rd small square after the zero on the x-axis
∵ 0.2 × 3 = 0.6
∴ The x-coordinate of the point is approximately located at 0.59
∴ x = 0.59 to the nearest hundredth
after Sofia deposited a check for 52.80, her new account balance was 310.63 how much was in her account before she deposited
Answer:
$257.83
Step-by-step explanation:
Subtract like shown below....
310.63 - 52.80 = 257.83
We subtract because we are finding the total amount of money before the deposit.
Hope that helps and have a great day!
what is five less than a number is greater than twenty
Answer:
X = -5
Step-by-step explanation:
"Five less than a number is greater than twenty" represents the inequality (x - 5) > 20
Let a number is 'x'.
Now we will construct the inequality for the given statement.
"Five less than a number" means (x - 5)
And "five less than a number is greater than twenty" will be,
(x - 5) > 20
To simplify this inequality,
Add 5 on both the sides of the inequality,
(x - 5) + 5 > 20 + 5
x > 25
Therefore, five less than a number is greater than twenty is an inequality, (x - 5) > 20
Learn more,
https://brainly.com/question/21507783