Answer:
The unit rate in miles per hour = 1.4 miles/hr
Step-by-step explanation:
Given that:
Distance walked by Boardman family = Two over five of a mile = [tex]\frac{2}{5}\ miles[/tex]
Time taken by Boardman family = Two over seven of an hour = [tex]\frac{2}{7}\ hour[/tex]
To find:
The unit rate in the miles per hour = ?
Solution:
Formula for the rate or the speed can be given as:
[tex]Speed = \dfrac{Distance}{Time}[/tex]
Putting the values:
[tex]\Rightarrow \dfrac{\frac{2}5}{\frac{2}7}\\\Rightarrow \dfrac{7}{5}\\\Rightarrow \bold{1.4\ miles/hr}[/tex]
So, the unit rate in miles per hour = 1.4 miles/hr
Alex is making chocolate cakes. For each cup of milk he uses, he needs to use 1/2 cups of flour. For each
cup of flour he uses, he needs to use 1/3 cup of cocoa powder. Alex is making enough cakes that he needs
to use 4 cups of milk. How many cups of cocoa powder does Alex need to use?
answer: 2/3 (or 0.67) cups of cocoa
Step-by-step explanation: since you need to use 1/2 cups of flour for each cup of milk you divide 4 by 2 and you get 2 then you multiply 2 by 1/3 to get your answer
at least that's what i got
The point (2, 1) is a solution to which of the following systems of equations?
2x + y = 5 and −2x + y = 2
−2x − y = −5 and 2x − y = 2
−x + y = 3 and −3x + y = −5
x + y = 3 and 3x − y = 5
[tex]\huge\boxed{\left \{ {{x+y=3} \atop {3x-y=5}} \right.}[/tex]
We can solve this problem by testing the solution against each system of equations. We'll do this by substituting the point into each equation for each system.
System 1 - [tex]\Large\textbf{X}[/tex][tex]\begin{array}{c|c}\textbf{First Equation}&\textbf{Second Equation}\\\cline{1-2}\begin{aligned}2x+y&=5\\2(2)+1&=5\\4+1&=5\\5&=5\\&\checkmark\end{aligned}&\begin{aligned}-2x+y&=2\\-2(2)+1&=2\\-4+1&=2\\-3&=2\\&\text{X}\end{aligned}\end{array}[/tex]
System 2 - [tex]\Large\textbf{X}[/tex][tex]\begin{array}{c|c}\textbf{First Equation}&\textbf{Second Equation}\\\cline{1-2}\begin{aligned}-2x-y&=-5\\-2(2)-1&=-5\\-4-1&=-5\\-5&=-5\\&\checkmark\end{aligned}&\begin{aligned}2x-y&=2\\2(2)-1&=2\\4-1&=2\\3&=2\\&\text{X}\end{aligned}\end{array}[/tex]
System 3 - [tex]\Large\textbf{X}[/tex][tex]\begin{array}{c|c}\textbf{First Equation}&\textbf{Second Equation}\\\cline{1-2}\begin{aligned}-x+y&=3\\-2+1&=3\\-1&=3\\&\text{X}\end{aligned}&\begin{aligned}-3x+y&=-5\\-3(2)+1&=-5\\-6+1&=-5\\-5&=-5\\&\checkmark\end{aligned}\end{array}[/tex]
System 4 - [tex]\Large\checkmark[/tex][tex]\begin{array}{c|c}\textbf{First Equation}&\textbf{Second Equation}\\\cline{1-2}\begin{aligned}x+y&=3\\2+1&=3\\3&=3\\&\checkmark\end{aligned}&\begin{aligned}3x-y&=5\\3(2)-1&=5\\6-1&=5\\5&=5\\&\checkmark\end{aligned}\end{array}[/tex]
Since both equations in the final system are true when solved with [tex](2, 1)[/tex], the answer is the last system.
please help please help please help
Is (25, -50) a solution to the equation y = 450 + 20x
Answer:
no
Step-by-step explanation:
An environment group invited 450 people to a fundraising event .315 people accepted the invention. What percent of the people accepted the invitation
Given:
Total number of invited people = 450
Total number of people who accept the invitation = 315
To find:
The percent of the people who accepted the invitation.
Solution:
We need to find 315 is what percent of 450.
[tex]\%=\dfrac{\text{Number of invited people - Who accept the invitation}}{\text{Number of invited people}}\times 100[/tex]
[tex]\%=\dfrac{450-315}{450}\times 100[/tex]
[tex]\%=\dfrac{135}{45}\times 10[/tex]
[tex]\%=3\times 10[/tex]
[tex]\%=30[/tex]
Therefore, 30% of the people accepted the invitation.
Sonja's credit card has an APR of 21%, calculated on the previous monthly
balance, and a minimum payment of 2%, starting the month after the first
purchase. Her credit card record for the last 7 months is shown in the table
below.
End of Previous New Payment Finance Principal New
month balance
charges received charges paid balance
1
$0.00
$700.00 $0.00 $0.00 $0.00 $700.00
2 $700.00 $0.00 $14.00 $12.25 $1.75
$698.25
3 $698.25
$0.00 $13.97 $12.22 $1.75 $696.50
4 5696.50 $0.00 $13.93
$12.19 $1.74 $694.76
5 $694.76 $0.00 $13.90 $12.16 $1.74 $693.03
$693.03 $0.00 $13.86 $12.13 $1.73 $691.29
7 $691.29 $0.00 $13.83 $12.10 $1.73
5689.57
O
UN
About what percentage of Sonja's payments so far have gone to paying
interest?
O A. 10%
O B. 21%
O C. 23%
O D. 87%
Answer: D 87%
Step-by-step explanation:
Ap-ex
what is an expression equivalent to
4b + 5y - 3b + 8y
Answer:
b + 13y
Step-by-step explanation:
4b + 5y - 3b + 8y = 4b - 3b + 5y + 8y
I rearranged the like terms together.
4b - 3b + 5y + 8y = b + 13y
Simplify.
Please help me with 11
Answer:
19 minutes
Step-by-step explanation:
find the average of the 2 highest years of experience
.
quadrilateral ABCD is inscribed in circle E. the m<A=152 find m<C
Answer:
The angle for C is 28°.
Step-by-step explanation:
In a cyclic quadrilateral, opposite angles are supplementary which means that both angles add up will be 180° :
∠A + ∠C = 180°
152° + ∠C = 180°
∠C = 180° - 152°
∠C = 28°
Answer:
B. 28
Step-by-step explanation:
The answer above me is right, I used their answer on my question earlier and I ended up getting the question right. Hope this helps!
A recipe for giant soap bubbles uses 1/2 cup dishwashing liquid and 4 1/2 cups of water. How many cups of water will be used with 1 1/2 cups of dishwashing liquid?
A. 5 1/2
B. 6
C. 9
D. 13 1/2.
Answer: D. 13 1/2.
Step-by-step explanation:
1/2*3= 1 1/2 cups of dishwashing liquid.
4 1/2*3= 13 1/2 cups of water will be used with 1 1/2 cups of dishwashing liquid.
[tex]\sqrt[3]{250} -\sqrt[3]{54}[/tex]
help plzz
Answer:
exact form: 2 ^3√2
Step-by-step explanation:
your bathtub is 2 feet wide, 6 1/2 feet long, and 2 feet, 9 inches deep when full how many cubic feet of water do you need to fill your bathtub?
Answer:
35.75
Step-by-step explanation:
Can someone please help? I’m a little stuck here.
Factor Differences Of squares.
Answer:
29. 9p(2p+1)(2p-1)
31. 4k(2k+5)(2k-5)
Step-by-step explanation:
29. 9p(36p^3/9p-9p/9p)
9p(4p^2-1)
9p((2p)^2-1^2)
9p(2p+1)(2p-1)
31. 4k(16k^3/4k+-100k/4k)
4k(4k^2-25)
4k((2k)^2-5^2)
4k(2k+5)(2k-5)
Please show all your work!!!
Answer:
y= -6/5x -3
Step-by-step explanation:
So for now lets bring it into mx + b format
Subtract 6x from both sides to isolate y which is also called subtraction property of equality.
so 5y = -6x -15
Now you divide both sides by 5 which is called division property of equality.
You now have y = -6/5x - 3
y= -6/5x -3 is the slope intercept form of the standard form equation of 6x + 5y = -15.
Hope this helps!
Complete the following table for the equation.
Y=5x+7
Answer:
Values if y:
-3
2
7
12
17
22
Answer:
if y= 5x+7 answer is
-3, 4, 7, 10, 22
Step-by-step explanation:
out put = input 5x+7
the u get these answers:
-3, 4, 7, 10, 22
2
Select the correct answer.
Simplify the following expression.
Answer:
The answered would be 1/64 since it's simplified
Answer:
I think the exact form is 1/64
We want to factor the following expression: (x+7)^2+2y(x+7)+y^2 which patter can we use to factor the espression? U and V are either constant integers or single-variable expressions.
A. (U+V)^2 or (U-V)^2
B. (U+V)(U-V)
C. We can’t use any of the patterns.
Answer:
A. (U+V)^2 or (U-V)^2
Step-by-step explanation:
Find the slope of the line that passes through the given points.
(-5, 2) and (-2,8)
A 1/2
B 2
C -2
D) 6/7
E -6/7
Answer:
I do not know
Step-by-step explanation:
What is the first step in solving this system of equations using elimination?
3
y = -x+3
4
2x - 4y = 6
A. Write the second equation in slope-intercept form.
B. Subtract 2x from both sides of the second equation.
C. Write the first equation in standard form.
D. Multiply the first equation by 3.
Please select the best answer from the choices provided
Answer:
C. Write the first equation in standard form.
please help!!
My age today is
three times what it
will be three years
from now
minus three times
what my age was three
years ago.
How old am I?
Consider the equation and its solution.
8(x-2) = 64
8x-18-84
8x = 80
X=10
Which property is used in the last step to find thatx-10?
distributive property
addition property of equality
subtraction property of equality
division property of equality
Answer:
division property of equality
Step-by-step explanation:
The property used in the last step to find x = 10 in the expression is the division property of equality.
8(x-2) = 64
8x-18 = 84
8x = 80
x = 10
In 8x = 80 ;
Division property of equality was used to find the value of x.
The property states that when we divide both sides by a non-zero value, the two sides remains the same.
Find the area of a triangle if the base is 8.2 m and the height is 4.6 m. (A=1/2bh)
Answer:
18.86
Step-by-step explanation:
8.2 x 4.6 = 37.72
37.72/2 = 18.86
Answer:
18.86
Step-by-step solution:
8.2 * 4.6 = 37.72
divide by two, 18.86
Sorry I couldn't elaborate further, I'm really busy right now. Please contact me if you need any more help and I will be sure to help you more soon.
A rope is tied to a 8 ft falling tree. What could be the length of the rope, if the
person is 10 ft from the tree?
help :))
Answer:
10 ft
Step-by-step explanation:
can someone help plz :')
Answer:
c]
Step-by-step explanation:
90% of 60,000,000
Please help soon
Answer:
54000000
Step-by-step explanation:
Answer:
is 54000000
Step-by-step explanation:
I got it right
Find the slope of the line that goes through the points (0, 9) and (-2, -4).
Answer:
I think it is 13 over 2
Step-by-step explanation:
Emilio throws a marshmallow into the air from his balcony. The height of the marshmallow (in feet) is represented by the equation h= −16t^2 + 8t + 48, where t is the time (in seconds) after he throws the marshmallow.
How long does it take the marshmallow to hit the ground, where h=0?
0.5 minutes
3 seconds
1.5 minutes
1.5 seconds
*2 seconds* answer
2 minutes
0.5 seconds
3 minutes
Sorry I don't need help
Answer:
b trust me
Step-by-step explanation:
trust
How
4) The U.S. Census Bureau tracks the time it takes people to travel to work.
Location
Average Travel Time (min)
United States (average)
25.5
Los Angeles, CA
29.6
Chicago, IL
35.2
New York, NY
40.0
How does the average travel time for New Yorkers compare to the United States?
a.) 14.5 minutes longer
b.) 14.5 minutes shorter
c.) 4.8 minutes longer
d.) 10.4 minutes longer
Answer:
a) 14.5 minutes longerStep-by-step explanation:
Average time for New York = 40 minutesAverage time for United States = 25.5 minutesThe difference:
40 - 25.5 = 14.5 minutesCorrect choice:
a) 14.5 minutes longerAnswer:
a.) 14.5 minutes longer
Step-by-step explanation:
the average travel time for New Yorkers compare to the United States
= 40.0 - 25.5
= 14.5 min. longer
Priya noticed in the last activity that between the 2 triangles, you only need to know 4 angles to show that they are similar. She wondered which fourth angle would work to prove that triangle RST is similar to triangle EFG. Draw a sketch of the triangle. Then pick one angle measurement that would prove the triangles are similar. Explain to Pyria why knowing that angle would be enough.
Answer:
Please find attached a drawing of the triangles ΔRST and EFG showing the angles
The angle on ΔEFG that would prove the triangles are similar is ∠F = 25°
Step-by-step explanation:
In order to prove that two triangles are similar, two known angles of each the triangles need to be shown to be equal
Given that triangle ∠R and ∠S of triangle ΔRST are 95° and 25°, respectively, and that ∠E of ΔEFG is given as 90°, then the corresponding angle on ΔEFG to angle ∠S = 25° which is ∠F should also be 25°
Therefore, the angle on ΔEFG that would prove the triangles are similar is ∠F = 25°.
7/8 = 21/k whats k
Answer:
k = 24
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define
7/8 = 21/k
Step 2: Solve for k
Cross-multiply: 7k = 168Divide both sides by 7: k = 24Step 3: Check
Plug in k to verify it's a solution.
Substitute: 7/8 = 21/24Simplify: 7/8 = 7/8Here we see that 7/8 does indeed equal 7/8. ∴ k = 24 is a solution.