Answer:
1/8
Step-by-step explanation:
So if the entire recipe makes 7 loaves and calls for 7/8 of a cup, you would need to split the 7/8 cups flour into 7. 7/8 ÷ 7=1/8.
Option A: 1/8 of a cup
Which is equivalent to 2.3(-2x + 9.1) + 9(3.4x - 8)?
A. 26x - 51.07
B. 26x + 92.93
C. 35.2x - 51.07
D. 35.2x + 92.93
A small business borrows $50,000 to get started. Some of the money is borrowed at 9%, some at 7%, and some at 10% simple interest. The total of the annual interest they are charged is $4340, and the amount borrowed at 7% is two times the amount borrowed at 9%. Set up a system of equations to represent the situation, then find the amounts of money (x, y, and z) borrowed at each interest rate.
Answer: Amount borrowed at 9% = 9,428.57
Amount borrowed at 7% = $18,857.14
Amount borrowed at 10% = $ 21,714.29
Step-by-step explanation:
Formula for simple interest :
I = PRT,
P= Principal, R =rate , T= time
Let x = amount borrowed at 9%.
y = amount borrowed at 7%.
z = amount borrowed at 10%.
i.e. x+y+z= 50000 (i) [Given : amount invested = 50000]
Interest on x = x (0.09)(1) [as P=x, T=1 year, r= 0.09]
= 0.09x
Similarly
Interest on y = y(0.07)(1) = 0.07y
Interest on z = z(0.1)(1)=0.1z
Total interest = 0.09x+0.07y+0.1z = 4340 (ii)
Also, y=2x [given] (iii)
Put y=2x in (i) and (ii), we get
x+2x+z= 50000 ⇒ 3x+z=50000 (iv)
0.09x+0.07(2x)+0.1z=4340 ⇒ 0.09x+0.14x+0.1z=4340
⇒ 0.23x+0.1z=4340 (v)
Multiply 10 on both sides of (v)
2.3x+z=43400 (vi)
Eliminate (vi) from (v)
0.7x=6600
⇒ x= 9,428.57
From (iii), y= 2(9428.57) =18,857.14
From (vi),
2.3(9428.57)+z=43400
⇒ 21685.71+z=43400
⇒ z= 43400-21685.71
⇒ z=21714.29
Hence, Amount borrowed at 9% = 9,428.57
Amount borrowed at 7% = $18,857.14
Amount borrowed at 10% = $ 21,714.29
b) Wendy and Xavier share money in the
ratio 4:3. Wendy gets £30 more than
Xavier. How much does each receive?
Answer:
22.5
Step-by-step explanation:
30/4=7.5
7.5*3=22.5
A unicorn whose mass is 65 kg is moving at a speed of 4 m/s. What is the unicorn's kinetic energy?
Answer:
[tex]KE = 520 J[/tex]
Step-by-step explanation:
[tex]KE=\frac{1}{2}mv^2\\KE=\frac{1}{2}*65*4^2\\KE=\frac{1}{2}*65*16\\\\KE=520J[/tex]
Select all equations that have graphs with the same y-intercept.
Group of answer choices
y=3x - 8
y=3x - 9
y=3x + 8
y= 5x-8
y=2x -8
y=1/3x -8
URGENT HELP!!
The angle between a diagonal and the longer base of the isosceles trapezoid MNFD is 45°. NK is an altitude to the longer base. If MD = 9 and NF = 5, find:
Answer:
NK = 7, MK = 2, MF = 9.9, Area = 42Step-by-step explanation:
Refer to attached
To find:
NK , MK, MF, Area of trapezoidSolution
The trapezoid is isosceles and NK is its height, therefore
MD - NF = 2MKMK = (9 -5)/2 = 2Since ∠KDN = 45°, the triangle NKD is isosceles and so
NK = KD = MD - MK = 9 - 2 = 7MF = ND as trapezoid is isosceles and therefore diagonals are equal
ND = NK√2 = 7√2 = 9.9 So MF = 9.9Area of trapezoid
A = 1/2(b1 + b2)h A = 1/2(9+5)(7) = 6*7 = 42Select all of the values that are solutions to the following inequality. *
3(2a-1)> 10a - 11
Queston:
Select all of the values that are solutions to the following inequality.
3(2a-1)> 10a - 11
Answer:
The answer is 2
Please help! I think they domain is [-5,-1) u [1,5) but I’m not sure about the range.
PLEASE HELP. I need an answer by Nov 5
Fill in the missing reasons for the following two-column proof for the following information. Given: M is the midpoint of CD; CM = 3x – 10; MD = 6x – 22 Prove: x = 4
M is the midpoint of CD; CM = 3x – 10 ; MD = 6x - 22 1.?
CM=MD 2.?
3x – 10 = 6x – 22 3. substitution
-3x – 10 = -22 4. Subtraction Property of Equality
-3x = -12 5. ?
x=4 6. Division Property of Equality
Answer:
Step-by-step explanation:
1. M is the midpoint of CD; CM = 3x - 10; MD = 6x - 22; GIVEN
2. CM = MD Definition of Midpoint
3. 3x - 10 = 6x - 22 Substitution Property
4. -3x - 10 = - 22 Subtraction Prop of Equality
5. -3x =-12 Addition Prop of Equality
6. x = 4 Division Prop of Equality
The missing reasons in the two-column proof are:
1. Given
2. Definition of a midpoint
3. Addition property of equality
What is the Addition Property of Equality?To apply the addition property of equality, both sides of an equation is added with equal quantity to make it balanced.
In the two-column proof given, the missing reasons are:
1. Given (the information was stated already)
2. Definition of a midpoint (CM = MD)
3. Addition property of equality (10 was added to both sides of the equation).
Learn more about the addition property of equality on:
https://brainly.com/question/1542520
#SPJ2
Safara uses these steps to partition segment AB in a ratio of 9:4. why Safara's method works?
PHOTO ABOVE ⚠️
⚠️HELP I NEED TO PASS⚠️
Answer: D) the last one
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
PLEASE HELP I'M QUITE SURE WITH THIS QUESTION
The answer is ( D ), y ≤ 6
The range begins from minimum value to maximum value.
However, in the graph. There's no minimum value as it's heading toward negative infinity.
So we use y ≤ 6 instead.
So the clear answer is y ≤ 6 or ( D )
Order from greatest to least : 0.8; 8.83; 0.083; 80.83
Answer:
ok
Step-by-step explanation:
0.083,80.83,8.83,0.8
Hope that helps you.
Solve the formula for w.
Answer:
w = (P-2l) / 2
Step-by-step explanation:
P = 2l + 2w. (Given)
2w = P-2l
w = (P-2l) / 2
evaluate the following expressions given the following functions: f(x) = 3x-5 and g(x) = -5x +7
Answer:
the answers and working is in the photo above
Write the equation of a line that is perpendicular to y=2/7x +9 and that passes through the point (4,-6).
Answer:
[tex]y=-\frac{7}{2}x+8[/tex]
Step-by-step explanation:
Given the equation
[tex]y\:=\:\frac{2}{7}x+9[/tex]
comparing the equation with the slope-intercept form
[tex]y =mx+b[/tex]
Here,
m is the slope y is the interceptso the slope of the line is 2/7
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
the slope of the perpendicular line will be: -7/2
Therefore, the point-slope form of the equation of the perpendicular line that goes through (4,-6) is:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-\left(-6\right)=\frac{-7}{2}\left(x-4\right)[/tex]
[tex]y+6=\frac{-7}{2}\left(x-4\right)[/tex]
[tex]y+6-6=\frac{-7}{2}\left(x-4\right)-6[/tex]
[tex]y=-\frac{7}{2}x+8[/tex]
Write an equation of the line in standard form.
The line has the same slope as 3x-y=5 and the same y-intercept as the graph of 2y- 15x = 8.
The equation in standard form is
Answer:
Ok to make this easier for us we should switch these equations into y=mx+b so that it's easier for us to identify the slope and y-intercept:
to switch into y=mx+b form do this:
3x-y=5
-y=5-3x
y=-5+3x
y=3x+(-5)
2y-15x=8
2y=8+15x
y=4+7 1/2x
y=7 1/2x+4
THe slope of any line in y=mx+b form is m. Therefore in this equation:
y=3x+(-5) 3 is the slope
The y intercept of any line is the +b:
y=7 1/2x+4 -therefore 4 in this equation is our y intercept.
Now we can construct our equation in y=mx+b then into standard form (Ax+By=C)
since 3 is our slope and 4 is our y intercept the equatuon is :
y=3x+4
NOw all we need to do is move this into standard form:
y=3x+4
-3x+y=4
-3x+y=4 is your final answer
-hope this helped
Step-by-step explanation:
please help! 50 points
.Divide 6.410251.6109 1) Group the numerical factors together. 2) Simplify powers of 10 (exponent properties)
Answer:
Thanks so much
Step-by-step explanation:
plz give me brainiest
Answer:
= 0.312
Solution:
Change the divisor 6.410251 to a whole number by moving the decimal point 6 places to the right. Then move the decimal point in the dividend the same, 6 places to the right.
We then have the equations:
2000000 ÷ 6410251 = 0.312
and therefore:
2 ÷ 6.410251.6109 1) = 0.312
Both calculated to 3 decimal places.
0 0 0 0 0 0 0. 3 1 2
6 4 1 0 2 5 1 2 0 0 0 0 0 0. 0 0 0
− 0
2 0
− 0
2 0 0
− 0
2 0 0 0
− 0
2 0 0 0 0
− 0
2 0 0 0 0 0
− 0
2 0 0 0 0 0 0
− 0
2 0 0 0 0 0 0 0
− 1 9 2 3 0 7 5 3
7 6 9 2 4 7 0
− 6 4 1 0 2 5 1
1 2 8 2 2 1 9 0
− 1 2 8 2 0 5 0 2
1 6 8 8
An observation deck extends 200 feet out above a valley. The deck sits 150 feet above the valley floor. If an object is dropped from the observation deck, its height h in feet, after t seconds, is given by h6150. How long will it take for the object to be 6 feet above the valley floor? t will take seconds for the object to be 6 feet above the valley floor (Type an integer or a decimal.)
add the equation in. this helps because i have the same question:
h=-16t^2+150
Step-by-step explanation:
this is just the equation , when copying and pasting sometimes it doesnt put all the symbols.
helpppp plesase ASAP
Find the midpoint of the line segment with end coordinates of (2,0) and (8,8)
Answer:
(5,4)Step-by-step explanation:
[tex]Midpoint = \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(2,\:0\right),\:\\\left(x_2,\:y_2\right)=\left(8,\:8\right)\\\\=\left(\frac{8+2}{2},\:\frac{8+0}{2}\right)\\\\=(\frac{10}{2} , \frac{8}{2} )\\\\Simplify\\\\(5,4)[/tex]
Answer:
(5,4)
Step-by-step explanation:
Help me please I need help with this
Answer:
A
You plug in the same x value for each and see the answer. So 2(5)*10^4= 100000. And for the other we do 4(5)*10^2 which is 200. Since is says that 2x10^4 is 50 times as great as 4x10^2, we know that a is right because 200 * 50 = 100000.
PLEASE HELP QUICK!!!!! WILL GIVE BRAINIEST!!!!!
Answer:
-2
Step-by-step explanation:
its -2 cuz to find the slope the equation is the second y - the first y over the second x - the first x so -5 - 5 is 10 over 3 - -2 is 5 so it would be -10/5 which simplifies to -2
am i the only one that's confused? i don't get this and neither does my older sister! please tell me if u get it! :0
Answer:
I believe the answer is C. I'd have to work this out on paper to be certain, but from what i worked out mentally, i got C. lol
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
It explains all ways he can learn for each topic
Gt= Graph and text
Gv= Graph and vid
(same pattern with the rest)
and at the end
T/V= both text and video
Find the quotient: (16x + 24x2) = 2x
Answer:
48x=2x
Step-by-step explanation:
im big brain can i get brainilest
If a coffee bar sells on average 12 ounces of coffee every three minutes during the busy morning hours, how many gallons of coffee do they sell in 4 hours?
Answer:
7.5 gallons
Step-by-step explanation:
divide 12 by 3 to get oz per minute. 4
do 60 × 4 to get total minutes 240
4×240=960
put 960 oz into gallons and get 7.5
pleasssssssssss can you help me
Answer:
D=(3,-5) S=(-2,1) P=(-5,4) J=(-4,-5) M=(5,4)
Step-by-step explanation:
Answer:
D=3,-5
S=-2,1
P=-5,4
J=-4,-5
M=5,4
Step-by-step explanation:
Yasmine needs to create invites for a party. She has 3/4 of an hour to make the invites. It takes her 1/12 of an hour to make each card. How many invites can she create. Use a model to represent the qutient
I NEED ALL THE ANSWERS ITS DUE IN 10 MINUTES NUMBER THEM
Answer:
3.
a. 3.059, 3.05, 3.049, 3.04
b. 182.205, 182.105, 182.05, 182.025
4.
a. 7.68, 7.608, 7.6, 7.068
b. 439.162
Step-by-step explanation:
2x+y=8 and 6x-y=5...which variable should be eliminated and why
Answer:variable y
Step-by-step explanation:
because it doesn’t have a like variable
Adriana needs to send 232 invitations to her family and friends for her party. There are 12 invitations in a box. How many boxes will Adriana need to order so that everyone receives an invitation?
Answer:
19
Step-by-step explanation:
Adriana needs to send 232 invitations to her family and friends for her party.
There are 12 invitations in a box.
We need to find how many boxes will Adriana needs to order so that everyone receives an invitation. Let there are x boxes. It can be calculated as :
[tex]x=\dfrac{232}{12}\\\\x=19.34[/tex]
or
x = 19
So, she will need approx 19 boxes.