Answer:
a=[tex]\frac{c-by}{x}[/tex]
Step-by-step explanation:
To find a, we need to change the equation so a is the variable that is left by itself. So...
ax+by=c Get rid of anything else besides the x and its coefficient.
-by -by
ax=c-by Because a has to be completely isolated, get rid of its coefficient.
/x /x
a=[tex]\frac{c-by}{x}[/tex]
Hope this helps and have a great day :D
Answer:
[tex]a x + by = c \\ ax = c - by \\ \frac{ax}{x} = \frac{c - by}{x} \\ a = \frac{c - by}{x}[/tex]
Add these mixed numbers 4 4/7+3 2/7
Answer:
50/7 or 7 1/7
Step-by-step explanation:
I need the volume of e and f
Answer:
e-154
f-648
Step-by-step explanation:
rttyyuuguguvuhuhihihuhuhuhihihih7
Answer:
for e
[tex] v = \frac{1}{ 2} \times 8 \times 7 \times 5.5 = 154[/tex]
for f
v=6×9×12=648
what do i put for y and x , need help asap!!!
The product of two integers is (-112).
If one of them is (-8), find the other.
[tex]\huge\bold{Given :}[/tex]
Product of two integers = - 112
One of the integer = -8
[tex]\huge\bold{To\:find :}[/tex]
The other integer.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\sf\blue{The \:other \:integer\:is\: 14.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
Let the other integer be [tex]x[/tex].
As per the question, we have
[tex]Product \: \: of \: \: two \: \: integers = - 112[/tex]
➼ [tex] \: - 8 \times x = - 112[/tex]
➼ [tex] \: x = \frac{ - 112}{ - 8} [/tex]
➼ [tex] \: x = 14[/tex]
[tex]\sf\purple{Therefore,\:the\:other\:integer\:x\:is\:14.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex] - 8 \times 14 = - 112[/tex]
➺ [tex] \: - 112 = - 112[/tex]
➺ L. H. S. = R. H. S
Hence verified.
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♨}}}}}[/tex]
Answer:
If the product of two integers is -112 and one of them is -8, that means the value of the second integer would be 14.
Step-by-step explanation:
The product of two integers equals -112 means that there are two numbers that, when multiplied, were equivalent to -112. Since you know one of the integers is -8, you can infer that the second integer is both a positive number AND the remainder of [tex]\frac{-112}{-8}[/tex] or 14.
Given the linear equation 2x + y = 6, write another linear equation in two variables such that these two equations when represented geometrically form parallel lines.
Answer:
The family of lines that are parallel to [tex]2\cdot x + y = 6[/tex] is of the form [tex]2\cdot x + y = k, \,k\neq 6[/tex]. A possible solution is [tex]2\cdot x + y = -2[/tex].
Step-by-step explanation:
Let be [tex]2\cdot x + y = 6[/tex] the equation of a line, another line is parallel to it if and only if it is of the form:
[tex]2\cdot x + y = k, \,k\neq 6[/tex] (1)
Then, a possible solution is [tex]2\cdot x + y = -2[/tex].
Find the value of p (x) = 4x^3 - 7x^2 - 5x + 43 if x= -3
Answer:
[tex]p(x) = {4x}^{3} - {7x}^{2} - 5x + 43 \\ \\ p( - 3) = {4( - 3)}^{3} - {7( - 3)}^{2} - 5( - 3) + 43 \\ p( - 3) = - 113[/tex]
Answer:
- 113
Step-by-step explanation:
Substitute x = - 3 into p(x) and evaluate , that is
p(- 3) = 4(- 3)³ - 7(- 3)² - 5(- 3) + 43
= 4(- 27) - 7(9) + 15 + 43
= - 108 - 63 + 58
= - 171 + 58
= - 113
(4 × 5) × 7 = 7 × _________ (4 × 7) 20 (7 - 5) (5 + 7)
Answer:
I think the answer is 5 hope it helps
Find the measure of a single exterior angle of the regular polygon shown below. If necessary, round to the nearest tenth.
Answer:
32.7 degrees
Step-by-step explanation:
This polygon has 11 sides.
The measure of all exterior angles adds up to 360.
Find the measure of a single exterior angle by dividing 360 by the number of sides.
360/11 ≈ 32.7
The measure of a single exterior angle of the given regular polygon is 32.5 degrees
We have given that the diagram of regular polygon shown below
and, we have to find the measure of a single exterior angle.
Therefore we have the given polygon has 11 sides.
What is the meaning of exterior angle?
The angle between a side of a rectilinear diagram and adjacent side extended outward.
The measure of all exterior angles adds up to 360.
We have to find the measure of a single exterior angle by dividing 360 by the number of sides
So we get,[tex]360/11 = 32.7[/tex]
Therefore, the measure of a single exterior angle of the given regular polygon is 32.5 degrees.
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The price of an item has been reduced by 25% . The original price was $20 . What is the price of the item now?
Answer:
ok for this problem lets subtract 25 for 100 to get 75 so know we know we have to multiple 20 by 0.75 to get 15 dollars for the reduced price
A cube has square sides with area x2 +24x + 144. What expression represents the surface area of the cube?
Given:
A cube has square sides with area [tex]x^2+24x+144[/tex].
To find:
The expression that represents the surface area of the cube.
Solution:
We have
The area of each side of cube = [tex]x^2+24x+144[/tex]
Number of sides of a cube = 6
We know that, the total surface area of the cube is the product of number of sides of the cube and the area of each side. So, the total surface area of the cube is
[tex]SA=6(x^2+24x+144)[/tex]
[tex]SA=6(x^2)+6(24x)+6(144)[/tex]
[tex]SA=6x^2+144x+864[/tex]
Hence, the expression that represents the surface area of the cube is [tex]6x^2+144x+864[/tex].
The graphs below have the same shape. What is the equation of the graph of g(x)?
A. g(x) = (x-2)^2
B. g(x) = (x+2)^2
C. g(x) = x^2 - 2
D. g(x) = x^2 + 2
Answer:
Step-by-step explanation:
B. Because adding 2 moves you to the left when inside the parentheses.
can someone help me with this
Answer:
Step-by-step explanation:
a) -14 , -9 , -4 , 1 ................
Common difference = d = 2nd term - 1st term
= -9-[-14]
= -9 + 14
d = 5
The next term can be got by adding 5 to the previous term
5th term = 1 + 5 = 6
6th term = 6 + 5 = 11
7th term = 11 + 5 = 16
Next 3 terms are : 6 , 11 , 16
[tex]b) \frac{5}{6},\frac{2}{3},\frac{1}{2},\frac{1}{3},.....\\\\d = \frac{2}{3}-\frac{5}{6}\\\\=\frac{2*2}{3*2}-\frac{5}{6}\\\\=\frac{4}{6}-\frac{5}{6}\\\\=\frac{-1}{6}\\\\a_{5} = \frac{1}{3}+\frac{-1}{6}=\frac{1*2}{3*2}+\frac{-1}{6}=\frac{2}{6}+\frac{-1}{6}=\frac{1}{6}\\\\a_{6}=\frac{1}{6}+\frac{-1}{6}=0\\\\a_{7}=0+\frac{-1}{6}=\frac{-1}{6}\\\\\\Next 3 terms : \frac{1}{6},0,\frac{-1}{6}[/tex]
Ryan is cleaning out his room. His sister gives him 4 boxes of books to put with the 3 books he already had. When he finishes cleaning he discovers he now has 35 books on his shelves. How many books were in each box? Write an algebraic expression to represent this problem then solve.
Answer:
8 books were in each box
Step-by-step explanation:
According to the Question,
Assume X is the Number of Books In Each Box.
We have, 4 boxes With the Same Number of Books In each Box,Thus Total Book in all box is 4X.And, 3 books Ryan Already Put In Shelves.Now, Total Number Of Book After Cleaning is 35 Books.Algebraic Expression,
4X + 3 = 35
4X = 35 - 3
4X = 32 ⇔ X=8 books in Each Box.
rational number between - 4/7 and 8/4
Answer:
Hdujshshshddhdh
Step-by-step explanation:
If 5.6 times 0.52= 2.912, then 0.56 times 520 =
Answer:
29120
Step-by-step explanation:
if 5.6 × 0.52 = 2912
then,
0.56 × 520 = 29120
How many of the following numbers are factors of 34 or multiples of 7? 1, 2, 3, 4, 8, 14, 17, 29, 56, 91
Answer:
6
Step-by-step explanation:
So here are the numbers that are factors of 34 and multiples of 7
1,2,14,17,56,91
So count the numbers, 6. And that's ur answer, believe me
there are 105 teachers in a school 19 more are femal than male how what is the proprtion of female teachers
A class of 40 pupils voted for their favourite flavour of ice cream. 3/4 of the pupils voted for chocolate, 1/10 of the remaining pupils voted for vanilla and the rest for strawberry. How many voted for strawberry?
Answer:
6 students
Step-by-step explanation:
3/4 = chocolate
1/10 = vanilla
3/4 = 30/40
1/10 = 4/10
30+4=34
40-34 = 6
6 = the number of students that voted for strawberry
Wowowowowowoowowowowow
Extend the sequence and then complete the
statements.
А
A (blank) is an ordered list of numbers that can
form a pattern.
А (blank)
is an element in a sequence.
You can (blank)
a sequence by finding and writing
more terms.
The next term in the sequence is A = (blank)
Answer:
l
Step-by-step explanation:
A sequence is an ordered list of numbers.....
A term is an element in a sequence.
You can expand a sequence by finding and writing....
The next term in the sequence is A = (general term)
Find the missing angle
Answer option
30 degrees
130 degrees
Given:
The measure of one angle in the figure is 50 degrees.
To find:
The missing angle in the figure.
Solution:
Let x be the measure of the missing angle. Then
[tex]x+50^\circ=180^\circ[/tex] [Supplementary angles]
[tex]x=180^\circ-50^\circ[/tex]
[tex]x=130^\circ[/tex]
Therefore, the measure of the missing angle in the figure is 130 degrees. Hence, the correct option is B.
Find the volume of the composite solid below.
4 ft
3 ft
-
4 ft
10 ft
Answer:
173.3ft
Step-by-step explanation:
We'll start by the rectangle below
so remember the formula: l · w · h
10 · 4 · 3 = volume
volume = 120 ft
Rectangular pyramid
Volume = [tex]\frac{1}{3}[/tex] b · h
Volume = 1/3 40 · 4
Volume = 1/3 160
Volume = 53.3 ft
120 + 53.3 = 173.3 ft
A recipe uses 3 cups of milk to make 9 servings. If the same amount of milk is used for each serving, how many servings can be made from two quarts?
1 gallon
=
1 gallon=
4 quarts
4 quarts
1 quart
=
1 quart=
2 pints
2 pints
1 pint
=
1 pint=
2 cups
2 cups
1 cup
=
1 cup=
8 fluid ounces
8 fluid ounces
Before you try that problem, answer the question below.
How many cups will you need to find the number of servings for?
Answer:
24 servngs
Step-by-step explanation:
3 cups makes 9 servings.
The rate of servings to cups is 9 servings to 3 cups which is a unit rate of 3 servings per cup.
1 quart = 4 cups
2 quarts = 2 * 4 quarts = 8 cups
3 serviongs/cup * 8 cups = 24 servings
Answer: 24 servings
Find the measure of the reference angle for each given angle
0=225
Answer:
45°
Step-by-step explanation:
Reference angle is defined as The smallest angle that the standard position of a given angle will make with the x-axis.
Now, the given angle 225 lies in third quadrant. So, for us to find the reference angle, we will have to subtract 180 from it to get;
225 - 180 = 45°
by rounding to one significant number, estimate the answer to these questions:
a) 687x164
b) 476x2354
c) 8612x1497
Answer:
a) 140000
b) 1000000
c) 9000000
Step-by-step explanation:
a) 687x164
700 * 200 =140000
b) 476x2354
500*2000=1000000
c) 8612x1497
9000*1000=9000000
Can someone please help I really need these points
Given:
Two chords intersect each other inside the circle.
To find:
The value of x.
Solution:
According to intersecting chords theorem, if two chords intersect each other inside the circle, then the product of two segments of one chord is equal to the product of two segments of second chord.
In the given circle,
[tex]AE\times CE=BE\times DE[/tex]
[tex](3x-11)\times (5x-4)=(x+2)\times (-x+17)[/tex]
[tex]15x^2-12x-55x+44=-x^2+17x-2x+34[/tex]
[tex]15x^2-67x+44+x^2-15x-34=0[/tex]
[tex]16x^2-82x+10=0[/tex]
Divide both sides by 2.
[tex]8x^2-41x+5=0[/tex]
Splitting the middle term, we get
[tex]8x^2-40x-x+5=0[/tex]
[tex]8x(x-5)-1(x-5)=0[/tex]
[tex](8x-1)(x-5)=0[/tex]
Using zero product property, we get
[tex](8x-1)=0[/tex] or [tex](x-5)=0[/tex]
[tex]x=\dfrac{1}{8}[/tex] or [tex]x=5[/tex]
For [tex]x=\dfrac{1}{8}[/tex], the side AE is negative. So, [tex]x=\dfrac{1}{8}[/tex] is not possible.
Therefore, the required solution is [tex]x=5[/tex].
A car travels 22 miles for every gallon of gasoline used. The table below represents this relationship
Answer:
the answer would be 1/22 = x/3
Step-by-step explanation:
because 1 gallon of gasoline got him to travel 22 miles so your trying to solve for x for 3 gallons
I need help with this problem
Answer:
a. 74°
Step-by-step explanation:
Angle BCD and angle ACB are supplementary because they form a straight line. This means they add up to 180. We can write an equation to model the situation:
m<BCD + m<ACB = 180
106 + m<ACB = 180
m<ACB = 74
Since we are given two sides of the triangle are congruent, the triangle is isosceles. The base angles of an isosceles triangle are congruent, so we can say:
m<ACB = m<A
This means m<A is equal to 74°
En 4 días un hombre recorrió 120 km. Si cada día avanzó 1/3 de lo que anduvo el día anterior, en el segundo día recorrió.
Answer:
36 Km
Step-by-step explanation:
Por favor, encontrar el archivo adjunto
For a certain population, the population proportion is .6. If samples of size 60 are taken, determine the standard deviation of the distribution of sample proportions rounded to the nearest hundredth.
The standard deviation of the distribution of sample proportions is rounded to the nearest hundredth.60 Are taken but the single is 1.
How is the standard deviation of the sampling distribution of a proportion calculated?The population proportion is .6. If samples of size 60 are taken, determine the standard deviation of the distribution of sample proportions rounded to the nearest hundredth.
The Sampling Distribution of the Sample Proportion
and standard deviation σˆP=√pq/n.
How do you find the proportion of a population with mean and standard deviation?This is given by the formula Z=(X-m)/s where Z is the z-score, X is the value you are using, m is the population means and s is the standard deviation of the population. Consult a unit normal table to find the proportion of the area under the normal curve falling to the side of your value.13
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