Step-by-step explanation:
Hey there!
Given;
-3p + 1/8 = -1/4
Simplify it to get the value of"p".
[tex] - 3p + \frac{1}{8} = - \frac{1}{4} [/tex]
[tex] \frac{ - 24p + 1}{8} = \frac{ - 1}{4} [/tex]
[tex] 4(- 24p + 1) = - 1 \times 8[/tex]
[tex] - 96p + 4 = - 8[/tex]
[tex] - 96p = - 8 - 4[/tex]
[tex]p = \frac{ - 12}{ - 96} [/tex]
[tex]p = \frac{ 1}{8} [/tex]
Therefore, p = 1/8.
Check:
-3*1/8 +1/8 = -1/4
-3/8+1/8= -1/4
-1/4 = -1/4
Therefore, the value of "p" must be (1/8) to satisfy the equation.
Hope it helps...
Jennifer earns $7.60 per hour working after school. She wants to buy a musical instrument and she needs at least $500. Write an inequality that describes how many hours she must work to buy the instrument.
Answer:
Step-by-step explanation:
let h be the number of hours.
7.60 h≥ 500
76h≥5000
A loaf of sandwich bread contains 24 slices. Which of these tables correctly shows the ratios of different numbers of loaves of bread to the numbers of total slices they contain?
Answer:
15
Step-by-step explanation: i'm not explaining why
Which of the following is a factor of f(x)=4x^3+11x^2-75x+18
Answer:
f(x)=(4x−1)(x−3)(x+6)
Step-by-step explanation:
What is the slope of the following equation? y = -x + 3
can someone help me out? i’m not sure what the answers would be for these 5, thanks.
Answer:
<6 and 4 are supplementary angles. Supplementary angles add up to 180. therefore <6 and <4=180--->m<6=65---->180-65=115---> m<4-115
2. 115°
By using vertical angles theorem we see that angles opposite to each other like 5 and 8 are congruent.
Therefore m<8 = m<5
3. 122
<3 and <6 are congruent by the alternate interior angles theorem which states that interior angles that are opposite one another such as 6 and 3 are congruent.
4. 73°
<4 and <7 are supplementary since the <4 is equal to the <8 and the <8 is supplementary to 7.
180-107=73
5. 73°
Step-by-step explanation:
in a survey of villages, it was found that 25% of the people have visited kaduna and 20% have visited Calabar. if 5% visited both cities, what percentage have visited neither towns
Answer:
60% have visited neither town
Violet is trying to start an Intramural Club at her school. The principal tells her she must get signatures from students to show support. Each filled sheet contains 25 signatures. By Monday, she and her friend already have 6 sheets filled with signatures. The principal tells Violet she must have 7 more sheets filled with signatures. Write an equation for the number of signatures Violet will get. If she fills all of these, how many signatures will she get in all?
Answer:
325
Step-by-step explanation:
Let s represent sheets
Let x represent number of signatures needed
s = 25 signatures
6s + 7s = x
Plug in the function
6(25) + 7(25)
= 150 + 175
= 325
x = 325
In total she will need 325 signatures
Compare the values.
4x 107 is
?
times as much as 4 x 103.
10^4
4 x 10^10
10^10
4 x 10^4
Answer:
10^4 timesStep-by-step explanation:
Compare
4*10^7 and 4*10^3Dividing
4*10^7/4*10^3 = 4/4*10^(7 - 3) = 1*10^4 = 10^4The first number is 10^4 times as much as the second number
Proportions answer pls
Answer:
Y equals -1/5
Answer:
y = -0.2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
[tex]\frac{3.6}{0.2(6y + 1)} =\frac{9}{0.5y}[/tex]
Step 2: Solve for y
Distribute 0.2: [tex]\frac{3.6}{1.2y + 0.2} =\frac{9}{0.5y}[/tex]Cross-multiply: [tex]9(1.2y + 0.2) =3.6(0.5y)}[/tex]Distribute: [tex]10.8y + 1.8 =1.8y[/tex]Subtract 1.8y on both sides: [tex]9y + 1.8 =0[/tex]Subtract 1.8 on both sides: [tex]9y = -1.8[/tex]Divide both sides by 9: [tex]y = -0.2[/tex]Step 3: Check
Plug in y to verify it's a solution.
Substitute: [tex]\frac{3.6}{0.2(6(-0.2) + 1)} =\frac{9}{0.5(-0.2)}[/tex]Multiply: [tex]\frac{3.6}{0.2(-1.2 + 1)} =\frac{9}{-0.1}[/tex]Add: [tex]\frac{3.6}{0.2(-0.2)} =\frac{9}{-0.1}[/tex]Multiply: [tex]\frac{3.6}{-0.04} =\frac{9}{-0.1}[/tex]Divide: [tex]-90=-90[/tex]Here we see that -90 does indeed equal -90. ∴ y = -0.2 is indeed a solution of the equation.
Pythagoras
(Show work)
Answer:
x = 10.6
i just used the pythagorean theorem, you can copy my work.
Question
Enter an equation in point-slope form for the line.
(2, 4) and (3, 3) are on the line.
An equation of the line in point slope form is:
Given:
(2, 4) and (3, 3) are on the line.
To find:
The equation of line in point slope form.
Solution:
If a line passes through a point [tex](x_1,y_1)[/tex] with slope m, then the point slope form of the line is
[tex]y-y_1=m(x-x_1)[/tex]
(2, 4) and (3, 3) are on the line. So, slope of the line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{3-4}{3-2}[/tex]
[tex]m=\dfrac{-1}{1}[/tex]
[tex]m=-1[/tex]
The slope of a line is -1 and it passes through (2,4). So, an equation in point slope form is
[tex]y-4=-1(x-2)[/tex]
Therefore, an equation of the line in point slope form is [tex]y-4=-1(x-2)[/tex].
q/2 - p/3 = 1/6
p/2 - q/6 = 5
X=59÷3 and y=29
Step-by-step explanation:
Days the answer
Answer:
p = 13, q = 9
Step-by-step explanation:
Given the 2 equations
[tex]\frac{q}{2}[/tex] - [tex]\frac{p}{3}[/tex] = [tex]\frac{1}{6}[/tex] ( multiply through by 6 to clear the fractions )
3q - 2p = 1 → (1)
[tex]\frac{p}{2}[/tex] - [tex]\frac{q}{6}[/tex] = 5 ( multiply through by 6 to clear the fractions )
3p - q = 30 , that is
- q + 3p = 30 → (2)
Multiplying (2) by 3 and adding to (1) eliminates the term in q
- 3q + 9p = 90 → (3)
Add (1) and (3) term by term to eliminate q
7p = 91 ( divide both sides by 7 )
p = 13
Substitute p = 13 into (2) for corresponding value of q
- q + 3(13) = 30
- q + 39 = 30 ( subtract 39 from both sides )
- q = - 9 ( multiply both sides by - 1 )
q = 9
Thus p = 13 and q = 9
I just need the answer to number 2
Answer:
79°
( vertically opposite angles are equal. So, <AOB = < A'OB' )
Answer:
∠ A'OB' = 79°
Step-by-step explanation:
∠ AOC = ∠ C'OA' = 35° ( vertical angles )
BOB' is a straight angle , thus
∠ COB' = 180° - (79 + 35)° = 180° - 114° = 66°
C'OC is a straight angle, thus
∠ A'OB' = 180° - (66 + 35)° = 180° - 101° = 79°
I just wanna know how I solve this: "Select the division equation that can be used to find the solution to the problem. 4/9 kilogram of baking soda costs $2. How much does 1 kilogram of baking soda cost? "
9514 1404 393
Answer:
$4.50
Step-by-step explanation:
To find cost per kilogram, divide the cost by the number of kilograms it corresponds to.
($2)/(4/9 kg) = (2)(9/4) $/kg = $4.50 /kg
1 kilogram costs $4.50.
what is the answer to -2x+10=40
Answer:
-15
Step-by-step explanation:
Answer:
x=-15
Step-by-step explanation:
Move all terms that don't contain x to the right side and solve
From the given equation, list the values of A, B, and C when put into
standard form. 6y - 2x = 5
A = -2, B = 6, C =5
A = 2, B = 6, C = 5
A = 2, B = -6, C = -5
Rewriting in standard form puts the x variable before the y variable:
-2x + 6y = 5
A is the value with x, B is the value with y and c is after the equal sign.
A = -2, B =6, C= 5
Find the slope of the line passing through (-9,3), (-3,-5)
Answer:
-4/3
Step-by-step explanation:
Slope: (y2-y1)/(x2-x1)
(-5-3)/(-3+9) = -8/6 = -4/3
The slope is -4/3
Which of the following graphs represents the equation above?
y=1/2x-2
Answer:
There’s no graphs
Step-by-step explanation:
Answer:
Step-by-step explanation:
What is the product of 6 and one-half and 9 and one-fourth? 15 and three-fourths 54 and StartFraction 1 Over 8 EndFraction 60 and StartFraction 1 Over 8 EndFraction 80 and StartFraction 1 Over 6 EndFraction
Answer:
(B) 54 1/8
6×9
A bad contains 120 marbles. Some are red and the rest are black. There are 19 red marbles for every black marble. How many red marbles are in a bag
Manuel y Carlos encuentran un libro de matemática usado y en una de las hojas se observa la figura de un poliedro demasiado borrosa, pero se ven algunos datos sobre él que dicen: El poliedro tiene 12 aristas y la suma de su número de caras con su número de vértices es 14. Manuel afirma que se trata de un dodecaedro y Carlos dice que es un cubo. ¿Quién de ellos tiene la razón?
Answer:
Carlos tiene razón. El poliedro es un cubo.
Step-by-step explanation:
Comencemos analizando el número de caras del dodecaedro y del cubo.
El dodecaedro está conformado por 12 caras.
El cubo en cambio, está conformado por 6 caras.
En cuanto a aristas el dodecaedro tiene 30 aristas y en cambio el cubo tiene 12. Por ende, descartamos la idea de que el poliedro sea un dodecaedro.
Finalmente en cuanto a vértices, el dodecaedro tiene 20 vértices y el cubo tiene 8 vértices.
Si sumamos el número de caras y el número de vértices en el cubo obtenemos :
6 + 8 = 14
Con esto, verificamos que la figura borrosa es de un cubo y que Carlos tiene razón.
Put these into y=mx+b format SHOW YOUR WORK!!!! x-7y=7 and 6x-7y=-28
What is the value of a for the following circle in general form?
X^2+y^2+ax+by+c=0
Answer:
ANSWER : 8 A_P_E_X
Step-by-step explanation:
Plug the radius and the center point into the equation, and convert it to general form to get your answer.
please answerrrr
simplify (-2)^4(-2)
Answer:
-32
Step-by-step explanation:
(-2)^4(-2)
-2x-2x-2x-2
16(-2)
-32
Mrs. Mireles needs to hire landscapers to maintain her yard. Company L charges $250 per month plus $30 per hour. Company S charges $200 per month plus $35 per hour. Which inequality can be used to find x, the minimum number of hours each company would have to work so that the total charges from Company L is less than the total charges from Company S?
Answer:
10 hoursStep-by-step explanation:
Step one:
given information
Company L charges
monthly charge= $250
hourly charge= $30
let the total charge be y
and the number of hours be x
y=30x+250----------1
Company S charges
monthly charge= $200
hourly charge= $35
let the total charge be y
and the number of hours be x
y=35x+200------------2
Step two:
equating 1 and 2
30x+250=35x+200
collect like terms
30x-35x=200-250
-5x=-50
x=50/5
x=10
10 hours
A t-shirt increased in price by
1
—
4
. After the increase it was priced at £85. What was the original price of the t-shirt? I will mark brainless!!
Step-by-step explanation:
81×1/4
=20.24
this is the answer
PLLLZZ HELP ASAP! 10 PTS!!
Answer:
18.3303
Step-by-step explanation:
8x8 = 64
20x20=400
64-400= 336
√336 = 18.3303027798
or 18.3
Help plzzzzzzzzzzzz help me
Answer:
wow-
Step-by-step explanation:
ngl, thats hard.
I need help with ANGLES!!!!!!!!!!
Answer: I see acute, obtuse, and right angle.
Step-by-step explanation:
110 meters of fencing are used to fence a rectangular pasture of 750 square meters of farmland. If the length of the pasture is longer than the width, what is the width of the pasture in meters?
Answer:
25mStep-by-step explanation:
Perimeter of the rectangular pasture P = 2(L+W)
Area A = LW
L is the length
W is the width
Given
Perimeter = 110m
Area = 750m
If the length of the pasture is 40m longer than the width, then L = W+40
110 = 2L+2w
55 = L+W .....1
750 = LW.....2
Solving simultaneously
from 1; L = 55-W
substitute into 2;
750 = (55-W)W
750 = 55W-W²
-W²+55W -750 = 0
W²-55W+750 = 0
(W²-25W)-(30W+750) = 0
W(W-25)-30(W-25) = 0
(W-25)(W-30) = 0
W-25 = 0 and W-30 = 0
w = 25m and 30m
Since L = 55-W
L = 55-25 = 30m and;
L = 55-30 = 25m
Since we are told that length id longer than the width then, the width we are going to use is 25m