Answer:
14 dimes, 21 quarters
Step-by-step explanation:
Represent dimes with d and quarters with q.
So: 35 coins means
[tex]d + q = 35[/tex]
1 dime = $0.10 and 1 quarter = $0.25. So, a value of $5.60 means
[tex]0.10d + 0.25q = 5.60[/tex]
So, the system of equations is:
[tex]d + q = 35[/tex]
[tex]0.10d + 0.25q = 5.60[/tex]
Make d the subject in [tex]d + q = 35[/tex]
[tex]d = 35 - q[/tex]
Substitute 35 - q for d in [tex]0.10d + 0.25q = 5.60[/tex]
[tex]0.10d + 0.25(35 - q) = 5.60[/tex]
Open bracket
[tex]0.10d + 8.75 - 0.25q = 5.60[/tex]
Collect Like Terms
[tex]0.10d - 0.25q = 5.60 - 8.75[/tex]
[tex]-0.15q = -3.15[/tex]
Solve for q
[tex]q = \frac{-3.15}{-0.15}[/tex]
[tex]q = 21[/tex]
Substitute 21 for q in [tex]d = 35 - q[/tex]
[tex]d = 35 - 21[/tex]
[tex]d = 14[/tex]
Subtract - 2x – 10 from 10x2 + 3.
Answer:
Step-by-step explanation:
2x—33
Estimate a 15 tip on a dinner bill of 71.68, By first rounding the bill amount to the nearest ten dollars
Answer:
round the bill up. 15% of that is 10.80
Step-by-step explanation:
pls answer asap
its due tomorrow
Answer:
[tex]\frac{19}{14} x+\frac{97}{56}[/tex]
A T-Shirt cannon can launch 5 shirts in 20 minutes, how many can it launch in 60 minutes?
Answer:
15
Step-by-step explanation:
5 - 20
10 - 40
15 - 60
Answer:
15
Step-by-step explanation:
because if you double 20 two more times you get 60 so then had 5 three times you get 15
more free brain pointssssss if u can answer the question 3+90000000
Answer:
253892639292639264638 yw
What is the slope of (-4,3) and (-3,1)
What is the slope (1,3) and (5,4)
Answer:
1/4
Step-by-step explanation:
y2-y1
--------
x2-x1
(x , y)
(1 , 3)
(5 , 4)
4-3=1
--------
5-1=4
The simplest polynomial function with zeros 7, square root 13 and 27i would be of what degree
Answer:
The simplest polynomial function is [tex]y = x^{4}-(7+\sqrt{13})\cdot x^{3}+(27+7\sqrt{13})\cdot x^{2}-(189+27\sqrt{13})\cdot x + 189\sqrt{13}[/tex].
Step-by-step explanation:
A n-th order polynomial in factorized form is defined by:
[tex]y = (x-r_{1})\cdot (x-r_{2})\cdot ...\cdot (x-r_{n-1})\cdot (x-r_{n})[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]r_{1}[/tex], [tex]r_{2}[/tex],..., [tex]r_{n-1}[/tex], [tex]r_{n}[/tex] - Roots of the polynomial.
We know that three roots, two real and a complex root. By Quadratic Formula, a second order polynomial has two conjugated complex number of the form [tex]a + i\,b[/tex] and [tex]a - i\,b[/tex]. Hence, there is an additional zero: [tex]-i\,27[/tex].
By applying (1), we have the following polynomial when all roots are used:
[tex]y = (x-7)\cdot (x-\sqrt{13})\cdot (x-i\,27)\cdot (x+i\,27)[/tex]
By factorization and algebraic handling we have the simplest polynomial function:
[tex]y = [x^{2}-(7+\sqrt{13})\cdot x +7\sqrt{13}]\cdot (x^{2}+27)[/tex]
[tex]y = x^{2}\cdot (x^{2}+27)-(7+\sqrt{13})\cdot [(x^{2}+27)]\cdot x+7\sqrt{13}\cdot (x^{2}+27)[/tex]
[tex]y = x^{4}+27\cdot x^{2}-(7+\sqrt{13})\cdot x^{3}-(7+\sqrt{13})\cdot 27\cdot x +7\sqrt{13}\cdot x^{2}+189\sqrt{13}[/tex]
[tex]y = x^{4}-(7+\sqrt{13})\cdot x^{3}+(27+7\sqrt{13})\cdot x^{2}-(189+27\sqrt{13})\cdot x + 189\sqrt{13}[/tex]
The simplest polynomial function is [tex]y = x^{4}-(7+\sqrt{13})\cdot x^{3}+(27+7\sqrt{13})\cdot x^{2}-(189+27\sqrt{13})\cdot x + 189\sqrt{13}[/tex].
Can someone plzzz help me
Matthew is training to participate in a half marathon. Each week, Matthew increases the number of miles he runs in the previous week by the same percent. The table below shows the number of miles he runs in weeks 1 and 2.
Week Number of Miles Run
1 12.5
2 15.5Complete the sentence. Do not round your answer.
Matthew runs
miles in week 3.
Answer:
Step-by-step explanation:
3/12.5 = x/15.5 so x is 3.72
Then 3.72 + 15.5 = 19.22
Answer:
answering so they can get brainliest ^^
Step-by-step explanation:
Solve this system of linear equations. Separate the x- and y- values with a comma.
17x = 43 - 15y
8x = -68 + 15y
Answer:
(-1,4)
Step-by-step explanation:
Using elimination, add the two equations to get rid of the y variable.
17x = 43 - 15y
+8x = -68 + 15y
=25x = -25
x = -1
Now plug in -1 for x in any of the equations.
17(-1) = 43 - 15y
-17 = 43 - 15y
-60 = -15y
y = 4
|16|-|-5| what is the answer
Answer:
11
Step-by-step explanation:
the little bars mean absolute value and the absolute value of -5 is 5
16-5=11
Aniyah scored 95% on her math test. If she answered 19 questions correctly, how many total questions were on the test?
Answer:
20
Step-by-step explanation:
19/0.95=20
can someone help me with this please?
Answer:
y=70°
z= 60°
w= 70°
Step-by-step explanation:
Since the two triangles are similar, we know that all of the corresponding angles must be the same. On the triangle on the left, we can see that the angle formed between sides AB and AC is 60°. This means that the same angle is formed at Z, which is in the same location on the triangle to the right. From there, we can find the missing angle, W, from the difference of 180°.
180°-50°-60°=70°.
The same way we found Z, we can also find Y, since it has to be the same as W.
Abu solved 231 multiplication problems. Later, he also solved 131 divison problems. How many more mutiplication problems than divison problems did Abu solve?
6x - (4x – 9) = 25 – 9
-True
-False
Answer:
Step-by-step explanation:
6x-4x+9=25-9
2x=25-18
2x=7
x=3.5
6x-(4x-9)=25-9
6x-4x+9=25-9
2x+9=16
2x=7
x=3.5 so it is true when x=3.5
Shelly is using a vase shaped like a triangular prism to display a dozen roses. The volume
of the vase is 154 cubic inches with dimensions shown.
h
7 in.
4 in.
What is the height, h, of the vase?
Answer:
11 inchesStep-by-step explanation:
Assume the base is right triangle.
The volume:
V = bh = 1/2abhSubstitute values and solve for h:
154 = 1/2(7)(4)h154 = 14hh = 154/14h = 11 inchesWhich ordered pair is a solution to the following inequality? Select all that apply. y > 7x −3
A. (2, 12)
B. (-3, -15)
C. (0, -3)
D. (1, 5)
a 2 12
la respuesta
a (2 212
HELP PLEASE ON THIS PROBLEM! LOT OF POINTS!!!!
Select all the proportional relationships.
Multiple select question.
A)
(Picture Below)
B) A train is traveling at a constant speed of 60 miles per hour. The number of hours the train has been traveling is t. The number of miles the train has traveled is d.
C)
The relationship is represented by this table:
(Picture Below)
D) y=3x , where x and y are both positive numbers.
E) y=1x
Answer:
A, C, D, and E
Step-by-step explanation:
They all have a constant rate.
whoever answers right gets brainliest
Answer:
37
Step-by-step explanation:
Split the arrow into a rectangle and triangle. The area of the rectangle is 7x4=28. The area of the triangle is 6*3/2=9. 28+9=37
fellow brainly users, please don't keep scrolling past this question. i desperately need help. help a sister out. ur reward will be glorious. please, please brainly wan kenobi.. u are my only hope
Answer:
i think it is 5x or x units
Not sure what kind of reward is glorious, but your answer is
Option 3
If I am wrong, let me know and I will redo the math
Anyone know what the answer is? I'd appreciate it if someone could help because im stuck
Answer:
100
Step-by-step explanation:
Isosceles triangle have 2 equal angles. Therefore the second angle in the triangle will also be 25.
Since the sum of angles in a triangle is 180.
180-(25x2) will give you the last angle in one of the triangles.
The other angle is identical so the angle at the top of the other triangle will also be 130.
The sum of angles in a circle is 360.
Therefore, angle x = 360-(130x2)
X= 100
You are purchasing paint and paintbrushes
for an art project. Tubes of paint cost $6 each
and paintbrushes cost $8 each. You plan
on spending $60 and purchasing a total of
9 items. Which linear system best represents
the situation?
Answer:
(d) x + y = 9
6x + 8y = 60
Step-by-step explanation:
Some customers have requested a shorter tour with fewer stops. All her tours need to start and end at point A. Suggest a shorter route that eliminates two or three stops from her current route. What is the length in miles of the route you suggest? Round to the nearest hundredth.
9514 1404 393
Answer:
ABDEF -- 0.82 miles
Step-by-step explanation:
The lengths in feet of each of the segments have been worked out in the attachment to this problem:
https://brainly.com/question/21623703
A shorter route could be one that leaves out stops C, G, H:
ABDEF has length (in feet) of ...
AB +BD +DE +EF +FA = 817.7 +512.8 +804 +803.77 +1370.4 = 4308.67
There are 5280 feet per mile, so the route in miles is ...
(4308.67 ft)/(5280 ft/mi) ≈ 0.82 mi
Shorter route ABDEF will have a length of 0.82 miles.
18/5 - 18/7 plz help!!!
Answer:
1 1/35 as a mixed number, exact answer is 36/35
NEED HELP LOTS OF POINTS!!! Diego had $21.32 and gave $9.50 to Elena. How much did he have left?
Answer:
11.18
Step by Step Explanation:
Subtract 9.5 from 21.23
What’s the approximate value?
Answer:
D-24.2
Step-by-step explanation:
I'm not sure though
plz help I need answers as fast as possible
Answer:
Step-by-step explanation:
a). Set of vowels in English alphabets:
{a, e, i, o, u}
b). S = {x: x is a positive odd number less than 10}
S = {1, 3, 5, 7, 9}
c). T = {letters in the word "WOOD"}
T = {W, O, O, D}
can someone explain how i find the missing angle on this thing
Answer:
70°
Step-by-step explanation:
a + 90 + 20 = 180 {Angles in straight line}
a + 110 = 180
a = 180 - 110
a = 70
Write an equation for (-1,-2),(-3,-4)
Answer:
y=x+1
Step-by-step explanation:
First find the slope by subtracting the y values from both points and dividing it by the subtraction of the x values from both points:
-4--2/ -3--1= -2/-2= 1
so the slope is 1
Now find the y-intercept by plugging in the x and y from one of the points into the equation y=x+b
-3=-4+b
1=b
now plug the slope and y intercept in:
y=x+1
hope this helps :D