Answer:
79.2 kilometres per hour
Step-by-step explanation:
1 km = 1000 m
1 hr = 3600 sec. To convert km/hr into m/sec,
We multiply the speed which in this case is 22m/s
by 3.6 giving 79.2 kmh. Therefore 22m/s into kilometer is 79.2 kmh.
The members of a book club spend the same amount of money for refreshments at each meeting. At one meeting they bought 6 bagels and spent $9.00 on beverages. At the next meeting they bought 8 bagels and spent $8.20 on beverages. What was the cost of each bagel?
The members of a book club spend $0.4 for each Bagel as refreshment.
Let x represent the cost of each bagel.
At a meeting, they bought 6 bagels and spent $9.00 on beverages, hence:
Cost = 6x + 9
At another meeting, they bought 8 bagels and spent $8.20 on beverages, hence:
Cost = 8x + 8.20
Since the same money is spent on each meeting, hence:
6x + 9 = 8x + 8.2
2x = 0.8
x = $0.4
Therefore the cost of each bagel is $0.4
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Consider the hypotenuse of a right triangle with two legs that are two inches and one inch long, respectively. The length of the hypotenuse, in inches, is between which pair of the following fractions?
a 9/4 10/4
b 17/8 18/8
c 14/4 15/4
d ¼ ⅓
e ¾ 5/4
Answer:
b
Step-by-step explanation:
Pythagoras formula for the relation of the side lengths of a right-angled triangle :
c² = a² + b²
c is the Hypotenuse (the side opposite of the 90 degree angle). a and b are the "legs".
so, we have here
c² = 1² + 2² = 1 + 4 = 5
c = sqrt(5) = 2.236067977...
so, answer option c is too big (values bigger than 3).
answer options d and e are too small (values smaller than 2).
a
9/4 = 2.25
10/4 = 2.5
this is also too big .
that leaves us with b
17/8 = 2.125
18/8 = 9/4 = 2.25
that is correct
Andrew is counting the total calories in his breakfast. He knows that a bowl of his favorite cereal with milk has 200 calories. He also likes to drink a fruit smoothie with his cereal. Each ounce of the smoothie adds 25 calories. Which graph represents the total calories, y, in Andrew's breakfast if he drinks x ounces of fruit smoothie with his cereal?
Answer:
See Graph below
Step-by-step explanation:
I hope this helps anyone who needs it :)
y = - 4x + 3 & x - 4y = 8 : parallel or perpendicular or neither
Answer:
perpendicular
Step-by-step explanation:
Parallel lines have equal slopes
The product of the slopes of perpendicular lines = - 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 4x + 3 ← is in slope- intercept form
with slope m = - 4
x - 4y = 8 ( subtract x from both sides )
- 4y = - x + 8 ( divide through by - 4 )
y = [tex]\frac{1}{4}[/tex] x + 2 ← in slope- intercept form
with slope m = [tex]\frac{1}{4}[/tex]
Since the slopes are not equal the lines are not parallel
- 4 × [tex]\frac{1}{4}[/tex] = - 1
Then the lines are perpendicular
write the equation of the line passing through the origin of the coordinate system and is parallel to the line x-2y+3=0
Answer:
x - 2y = 0
Step-by-step explanation:
The two lines have the same slope because they are parallel, and their equations have the same form as x-2y+3=0, with only the constant (3) being different. Solving this equation for y to find the slope, we get:
x + 3 = 2y, or y = (1/2)x + 3/2. The line passing through (0, 0) with the same slope must then be y = (1/2)x; this line represents a proportional relationship because y is a constant multiple of x with the constant of proportionality 1/2. This result may be rewritten as 2y = x or x - 2y = 0.
You have a coupon for 25% off the price of a mystery book that sells for $7.00. You also have one for 20% off the price of a science fiction book that sells for $6.25. You have $5.00. Which book can you afford to buy? Explain.
Answer: you can afford to buy both
as $1.75+$1.25 adds up to $3 leaving you $2 to spare.
Step-by-step explanation-
Mystery book: 25% of 7.00= 1.75 ($1.75)
Science Fiction: 20% of 6.25=1.25 ($1.25)
Answer:
You can afford the science fiction book.
Step-by-step explanation:
How to get the amount for the 25% coupon:
$7.00 × 0.25 = $1.75
To get the price of the mystery book using the coupon:
$7.00 - $1.75 = $5.25
The mystery book will cost $5.25.
How to get the price of the 20% coupon:
$6.25 × 0.20 = $1.25
To get the price of the science fiction book using the coupon:
$6.25 - 1.25 = $5.00
The science fiction book will cost $5.00.
You can afford to buy the science fiction book because you have $5.00 and that is the price of the book. The mystery book costs $5.25 and you only have $5, which means that you don't have enough money to buy it.
Can you solve for x plz?
Answer:
x=25
Step-by-step explanation:
4x+50=150
4x=100
x=25
13 9/10 divided by 3 1/2
Answer:
[tex]3 \frac{13}{44} [/tex]
Step-by-step explanation:
First let's write our equation
[tex]13 \frac{9}{10} \div 3 \frac{1}{2} [/tex]
Now let's make them improper fractions
[tex] \frac{139}{10} \div \frac{7}{2} [/tex]
Now since we're dividing we with fractions we do the reciprocal and multiply
[tex] \frac{139}{10} \times \frac{2}{7} [/tex]
or
[tex] \frac{139}{5} \times \frac{1}{7} = \frac{139}{42} = 3 \frac{13}{42} [/tex]
what is the x intercept
Answer:
The answer is B
Determine if the table represents a linear function, quadratic function, or exponential function.
Answer:
quadratic
Step-by-step explanation:
Roxana makes bracelets and necklaces and sells them at the farmers’ market. She sells the bracelets for $12 each and the necklaces for $18 each. At the market next weekend she will have room to display no more than 40 pieces, and she needs to sell at least $500 worth in order to earn a profit. (Thank you so much for anyone who answers it
Answer:
She could out 20 necklaces and 20 bracelets on display and she would make $600.
Step-by-step explanation:
$18 necklaces x 20= $360
$12 bracelets x 20 = $240
totalling $600
I need help pls I'll give brainliest!!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex]\sqrt{32}[/tex]
Step-by-step explanation:
4^2+ 4^2=c
16+16=32
[tex]\sqrt{32}[/tex]
=5.65685424949
For the equation y = -x +5, find y when x = -3
Answer:
y= 8
Step-by-step explanation:
y= -x +5
To find the value of y when x= -3, substitute -3 into x and solve the equation.
When x= -3,
y= -(-3) +5
y= 3 +5
y= 8
(3^-2 × 4^-2)^-3 = 12^x
In the given expression find the value of x.
Given that (3^-2×4^-2)^-3 = 12^x
⇛ [(3×4)^-2]^-3 = 12^x
Since a^m × b^m = (ab)^m
⇛(12^-2)^-3 = 12^x
⇛ 12^(-2×-3) = 12^x
Since (a^m)^n = a^mn
⇛ 12^6= 12^x
⇛6 = x
Since the bases are equal then exponents must be equal
Therefore,x = 6
Additional comment:-
If the bases are equal then exponents must be equal.
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A dairy made 97.01 ounces of yogurt. Then a local market bought 84 ounces of the yogurt. How much yogurt does the dairy have left?
Corinne made apple jam and strawberry jam. She made enough apple jam to
fill 1 jars. If she made 3 times as much strawberry jam as apple jam, how
many jars will the strawberry jam fill?
Answer:
3
Step-by-step explanation:
1 ×3 =3
apple jam times strawberry
Which is the graph of the equation y+2=−12(x−4)?
Answer:
Step-by-step explanation:
y+2 = -12(x-4)
y=-12x+48-2
y = -12x+46
Draw a graph with the points (1,34) and (3,10)
Which describes how to move from (2, 3) to (6,4) on a coordinate grid?
Step-by-step explanation:
x = +4
y = +1
it uses a rigid transition formation
1) -x2
-Х2
I need help with this problem
Answer the following problem using the SOLVE Method Math Club members are selling Math club members are selling Pi Day T-shirts for $7.50 each. The goal is to raise $500 by Friday. The figure below shows how much they have raised by Wednesday. What is the minimum number of T-shirts they must still sell in order to reach their goal? Explain your reasoning.
The minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts
Let x represent the number of Pi Day T-shirts sold.
They are selling Pi Day T-shirts for $7.50 each, So to raise $500:
7.5x > 500
Dividing through by 7.5:
7.5x / 7.5 > 500 / 7.5
x > 66.7
Hence, the minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts
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How to divide different bases with same exponents.
En la siguiente figura, determinar el valor de x.
2x
х 3x
Step-by-step explanation:
we know,
sum of all angles on a straight line is 180°.
so according to it,
x + 2x + 3x = 180
6x = 180
x = 180/6 = 30
x = 30°
therefore, value of x is 30°.
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
Answer:
See below, please.
Step-by-step explanation:
x+2x+3x=180
So, 6x=180
x=30
Can my grade go up to an A within 3 weeks if i just do class work?
Answer:
da_mn the struggle is real
Step-by-step explanation:
Lauren is going to invest in an account paying an interest rate of 3.4% compounded
annually. How much would Lauren need to invest, to the nearest cent, for the value of
the account to reach $13,000 in 8 years?
Answer:
P = $9948.99
Step-by-step explanation:
Use the compound amount formula A = P(1 + r)^t, with A = $13,000, t = 8 yr and r = 0.034. Find the principal amount P.
Solving A = P(1 + r)^t for P, we get:
$13,000 $13,000
P = -------------------- = --------------- = $9948.99
(1 + 0.034)^8 1.3067
Lauren needs to invest $9948.99 for this purpose.
What is the answer to number 4 ?
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Which expression is equivalent to 3^4 times 3^-9
Answer: 3^4 · 3^-9 = 3^4 · 1/3^9
Step-by-step explanation:
PLEASE ANSWER 20 POINTS
Answer:
the pic wont load for me
Step-by-step explanation:
A scuba diver descends farther down into the ocean from an initial depth of 13.6 feet below sea level. The scuba diver descends at a constant rate for 2 1/2 minutes and reaches a depth no more than 48.2 feet below sea level.
What is the maximum rate, r, that the scuba diver may descend?
r ≥ 24.72
r ≤ 24.72
r ≤ 13.84
r ≥13.84
The scuba driver descends at a maximum rate of r ≤ -13.84
A linear equation is in the form:
y = mx + b;
where y, x are variables, m is the slope of the line and b is the y intercept.
Let r represent the maximum rate. Given an initial depth of 13.6 feet below sea level.
The scuba diver descends at a constant rate for 2 1/2 minutes and reaches a depth no more than 48.2 feet below sea level. This can be represented as:
2.5r - 13.6 ≤ -48.2
2.5r ≤ - 34.6
r ≤ -13.84
Hence the scuba driver descends at a maximum rate of r ≤ -13.84
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Convert 32 feet per second to kilometers per hour. (Hint: There are 5280 feet in a mile, and one mile is 1.61 kilometers)
Answer: 35.113
Hope this helps!
Brett made oat bars for his school's bake sale. For his first batch, Brett mixed 1 cup of caramel chips and 4 cups of oats. To make sure he had enough, he made a second batch, and mixed 2 cups of caramel chips and 8 cups of oats. Which batch of oat bars was more caramelly?
Answer:
They would be equally caramelly, the ratio of oats:caramel is equal
Step-by-step explanation: