d/4-9=3
d/4=12
d=48
hope this helps! :D
How many 1/8 teaspoons are equal to 4 3/4 teaspoons?
Answer:
24 1/8 teaspoons should be equal to 4 3/4 teaspoons.
Step-by-step explanation:
We let t be the number of 1/8 teaspoons
[tex] \frac{1}{8} t = 4 \times \frac{3}{4} \\ [/tex]
The equation above just means if I have t 1/8 teaspoons is equal to 4 3/4 teaspoons
[tex] \frac{1}{8} t = 4 \times \frac{3}{4} \\ \frac{1}{8} t = 3 \\ t = 24[/tex]
which numbers are less than negative 8/3
Hopefully, you'll get answers as good as the ones you're giving.
For this question, you would need to spend whatever you have left after you bail out your daughter and her math teacher.
Find the least common multiple (LCM) of 12 and 16
==================================================
Method #1
Multiply the two values to get 12*16 = 192
Then divide over the GCF 4 getting 192/4 = 48
------------------
Method #2
List out the multiples of each and see what they have in common
Multiples of 12 = {12, 24, 36, 48, 60, 72, 84, 96, ...}
Multiples of 16 = {16, 32, 48, 64, 80, 96, ...}
We see that 48 is the smallest common multiple.
-------------------
Method #3
Find the prime factorization for each
12 = 2*2*3
16 = 2*2*2*2
The unique prime factors are 2 and 3
The prime 2 shows up at most 4 times, so 2^4 = 16 is one factor of the LCM
The prime 3 shows up at most 1 time, so 3^1 = 3 is the other factor of the LCM
The LCM is 3*16 = 48.
The least common multiple (LCM) of 12 and 16 is 48.
To find the LCM, you can use the following steps:
List the multiples of each number until you find a common multiple.
Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, ...
Multiples of 16: 16, 32, 48, 64, 80, 96, 112, 128, 144, ...
The least common multiple (LCM) is the smallest number that appears in both lists.
The smallest number that appears in both lists is 48.
So, the least common multiple (LCM) of 12 and 16 is 48.
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Six more than the product of seven and a number is 55.
Which equation and solution correctly represent this sentence?
7 x + 6 = 55; x = 7
7 X+6 = 55; X= 49
X/7 + 6 = 55: x= 7
X/7 + 6 = 55; X= 49
The equation for the given situation is 7x+6=55 and the solution is x=7. Therefore, option A is the correct answer.
The given statement is six more than the product of seven and a number is 55.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the unknown number be x.
Now, six more than the product of seven and a number is 55
7x+6=55
Solve the obtained equation.
That is, 7x=55-6
⇒7x=49
⇒x=7
The equation for the given situation is 7x+6=55 and the solution is x=7. Therefore, option A is the correct answer.
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If 30 hundreds = tens and ones
Which pairs of rational numbers are equivalent? Select all that apply.
A. 0.5 and -1 over 2
B. 0.7 and 7 over 10
C. 11 over 12 and 0.55
D. -1 over 50 and -0.02
E. 0.15 and 0.15
Answer:The correct answer's are (A., C. , AND D.)
BRAINLIEST PLZ
Answer:
The answer is A C and D
Step-by-step explanation:
Took the test a while ago
Write the equation of the line, given the y and x-intercepts.
y-intercept = –6, x-intercept = –2
Answer:
Linear equation: (-2,-6)
Quadratic Equation: y = [tex]x^2[/tex] +8x =12
Step-by-step explanation:
see Example image #1 for Linear Equation graph
See Example image #2 for Quadratic Equation graph
Quadratic Equation Explanation:
x = -2 an x = -6 are the two real distinct solutions for the quadratic equation, which means that x+2 and x+6 are the factors of the quadratic equation.
( x + 2 ) ( x + 6 ) = 0
Expand ( x + 2 ) ( x + 6 ) using the FOIL Method.
x ⋅ x + x ⋅ 6 + 2 x + 2 ⋅ 6 = 0
Simplify and combine like terms.
[tex]x^2[/tex] + 8 x + 12 = 0
The standard quadratic equation using the given set of solutions{ − 2 , − 6 } is
y = [tex]x^2[/tex] + 8 x + 12 .
GEOMETRY. PLEASE HELP
Answer:
Here, Diameter of the whole tube = 10 m
Diameter of the inner tube= 10mm - 2 mm= 8mm
Now,
Area of the shaded region =1/4 ×πd^2
=1/4×3.14×8^2
=50.24 mm^2
Why is this divergent?
Step-by-step explanation:
f(x) = 40 (2 + e⁻ˣ) / x
If we say g(x) = 1 / x, then:
0 < g(x) < f(x)
g(x) diverges. and f(x) > g(x), so f(x) also diverges.
Segment PE has endpoints P(-4,4) and E(0,-4). Find the coordinates of point Q such that PQ:QE is 1:3. Enter the coordinates below
Answer:
(-3, 2)
Step-by-step explanation:
Given that point Q, partitions segment PE, such that PQ:QE is 1:3, coordinates of point Q is found using the formula below:
[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]
[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]
Where,
[tex] P(-4, 4) = (x_1, y_1) [/tex]
[tex] E(0, -4) = (x_2, y_2) [/tex]
[tex] m = 1, n = 3 [/tex]
Plug in the necessary values to find x and y coordinates for point Q as follows:
[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]
[tex] x = \frac{1(0) + 3(-4)}{1 + 3} [/tex]
[tex] x = \frac{0 - 12}{4} [/tex]
[tex] x = \frac{-12}{4} [/tex]
[tex] x = -3 [/tex]
[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]
[tex] y = \frac{1(-4) + 3(4)}{1 + 3} [/tex]
[tex] y = \frac{-4 + 12}{4} [/tex]
[tex] y = \frac{8}{4} [/tex]
[tex] y = 2 [/tex]
The coordinates of the point Q are (-3, 2))
Ayudenme porfa!!!!!!!!!!!
Answer:
A. 2.5
B. 56 |\ 77
C. 15 /| 9
Lucy and Jennie are having a basketball shooting contest. A +1 is scored for every basket made and a -1 is given for each missed shot. At the end of the game, Jennie has a +8 and Lucy has a -3. What is the difference in their scores?
Answer:The diffrence is 11
PLEASSSSSSSSSSSSEEE HELPPP
69=-3(-3-4p)
Answer:
p = 5
Step-by-step explanation:
-3(-3-4p) = 69
-3×(-3) + -3× (-4p) = 69
9 + 12p = 69
12p + 9 - 9 = 69 - 9
12p = 60
p = 5
Hope this helps!!!
convert 4/11 to a decimal using long division
Answer:
.36 repeating (both the 3&6)
Sorry my handwriting is bad!!
what is
- 3/4 x ( -12 )
please i need this by today
if i have 789.4 and my mom has 449.7 how much will we both have
Answer:
1239.1
Step-by-step explanation:
x + y = z
x = 789.4 (your money)
y = 449.7 (Your mom's money)
z = Total amount of money.
789.4 + 449.7 = z
789.4 + 449.7 = 1239.1
z = 1239.1
12 − 7 = 2(3 + 5) + 6 − 17
It equals 5- hope this helps---
HELP PLEASE explain because i don’t understand why these are correct. (pic above) THANK YOU!!
Answer:
A, C, and E are correct answers because the other answers are decimals and you can't have a fraction of a car to wash.
does that make sense?
Hope this helps! Have a great day /night (wherever u r) : )
8 ( x + 7 ) = 32 + 2x
Answer:
8x (x+7) =32+2x :x=-4
Step-by-step explanation:
best i got i had someone help me lol
Answer:
x = - 4Step-by-step explanation:
8 ( x + 7 ) = 32 + 2x
8x + 56 = 32 + 2x
8x - 2x = 32 - 56
6x = - 24
x = - 24/6
x = - 4
Q1 [5]
A cliff is located on the edge of a river. An observation tower, 11 meters tall, is built on the
cliff. The angle between the top of the cliff and the opposite side of the river is 20°, while the angle
between the top of the tower and the opposite side of the river is 30° Let's define h as the height of
the cliff and w the width of the river.
iii. Draw the cliff, tower and river writing all the information given (1pt)
Find the width of the river (4 pt)
iv.
Answer:
The required drawing showing the cliff, river, and tower as well as the details in the question is attached, please find alongside the answer
The width of the river is approximately 51.55 meters
Step-by-step explanation:
The height of the observation tower = 11 meters
The angle of elevation of the cliff top and the opposite side of the river = 20°
The angle of elevation of the tower top and the opposite side of the river = 30°
Therefore, by sine rule, we have;
h/sin(20) = w/sin(60)
11/sin(10) = length, l/sin(60)
l = sin(60) ×11/sin(10) ≈ 54.86 meters
w = l × cos (20) = 54.86 meters × cos (20) ≈ 51.55 meters
The width, w, of the river is approximately 51.55 meters.
Rearrange the equation so w is the independent variable.
-2u + 6w = 9
u = _______
Answer:
u = 3w -9/2
Step-by-step explanation:
-2u + 6w = 9
Subtract 6w from each side
-2u + 6w-6w = 9-6w
-2u = 9-6w
Divide each side by -2
-2u /-2 = 9/-2-6w/-2
u = 3w -9/2
Theo had 2 blocks. Then he got 2 more blocks from Ray and some more blocks from Lia.
Now Theo has 12 blocks.
The letter b stands for the number of blocks Theo got from Lla.
Which number sentence shows this word problem?
A. 2+b= 12
B. 2 + 12 = b
C. 2+2 + 12 = b
D. 2+2+b = 12
If I'm right it's (D). I hope this helps.
Matea recorded that water levels in one part of the river fell 1.05 millimeters per year for 2.48 years. Describe how you could estimate the total variation in water level.
Answer:
The decrease of the decimal rate -1.05 mm/year can be rounded to -1. You don’t need to round 2.48 because you’re multiplying by -1. Since -1.05 is negative and rounded to a greater value, the estimate could be adjusted to a slightly lesser value, maybe -2.5 or -2.6.
Step-by-step explanation: I'm taking the test
Answer:
Sample response: The decrease of the decimal rate -1.05 mm/year can be rounded to -1. You don’t need to round 2.48 because you’re multiplying by -1. Since -1.05 is negative and rounded to a greater value, the estimate could be adjusted to a slightly lesser value, maybe -2.5 or -2.6.
Step-by-step explanation:
A piece of lumber is 17 feet long. You cut the lumber into logs that are 18 inches long.
How many inches of lumber are remaining?
17 feet x 12 inches per foot = 204 total inches.
204 inches / 18 inches = 11.33
They cut 11 pieces and had 12x 0.33 = 4 inches remaining.
Answer:
186 inches
step by step: multiple 17x12 then subtract ur answer from 18 theres ur answer
Help please it would mean a lot to me because I just don’t understand it
Answer:
[tex]\boxed{A. a < 7}[/tex]
Step-by-step explanation:
Hey there!
Well given,
2a + 6 < 4(a - 2)
We need to simplify for a.
Distribute 4, 4(a - 2)
4*a = 4a
4*-2 = -8
2a + 6 < 4a - 8
-2a to both sides
6 < 2a - 8
+8 to both sides
14 < 2a
14 ÷ 2 = 7
Thus, a < 7.
Hope this helps :)
Answer:
a > 7
Step-by-step explanation:
Distribute the 4 on the right side. (Distributive Property)
Put the like terms together.
Combine like terms.
Divide on both sides (divide by the coefficient) and flip the inequality sign.
Your final answer should a > 7
What is the solution to the following equation?
-50 = -5x - 3(5x + 15)
Answer:
Step-by-step explanation:
-50 = -5x - 3(5x + 15) {Use distributive rule}
-50 = -5x + 5x *(-3) + 15*(-3)
-50 = -5x - 15x - 45 {Combine like terms}
-50 = -20x - 45 {Add 45 to both sides}
-50 + 45 = -20x
-5 = -20x {Divide both sides by -20}
-5/-20 = x
1/4 = x
Alex buys 24 apples from the supermarket. when he gets home 6 of them are bad. what percentage of apples are bad? round your answer to the nearest answer.
Answer:
6/24 is 25 percent...... so 25% of his apples are bad
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
6 is the number of apples bad
That means that 6/24 of them were bad apples
6/24=1/4 since you divide by 6 on numerator and denominator
1/4 can be expressed as 25%
+
3. -5y- 10=-60
Solve the equation for -5y- 10=-60
Answer:
y=10
Step-by-step explanation:
you first add 10 to both sides
the bring down the -5y
thr divide it -50 with -5
A researcher studying stress is interested in the blood pressure measurements of chief executive officers (CEOs) of major corporations. He believes that the mean systolic blood pressure, μ, of CEOs of major corporations is different from 136 mm Hg, which is the value reported in a possibly outdated journal article. He plans to perform a statistical test. He measures the systolic blood pressures of a random sample of CEOs of major corporations and finds the mean of the sample to be 126 mm Hg and the standard deviation of the sample to be 18 mm Hg.Based on this information, answer the questions below.What are the null hypothesis and alternative to be used for the test (ie, less than, less than or equal to etc)H0 is μ= ____ _______( 18,136, 126) pick oneH1 is μ = _____ _____ (18,136,126) pick oneIn the context of this test what is the type I error? Pick one in the parathensisA type I error is ______(rejecting or failing to reject) that the μ is____________ (less than , equal to, etc) (18,136,126) when in fact μ is__________ ( less than, greater to , etc) (18,136,126)Suppose the researcher decides not to reject the null hypothesis. What sort of error might he be making? (type I or type II)
Answer:
Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 136 mm Hg
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu\neq[/tex] 136 mm Hg
In this context type I error is rejecting that the μ is equal to 136 mm Hg when in fact μ is equal to 136 mm Hg.
Step-by-step explanation:
We are given that the mean systolic blood pressure, μ, of CEOs of major corporations is different from 136 mm Hg, which is the value reported in a possibly outdated journal article.
He measures the systolic blood pressures of a random sample of CEOs of major corporations and finds the mean of the sample to be 126 mm Hg and the standard deviation of the sample to be 18 mm Hg.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 136 mm Hg {means that the mean systolic blood pressure, μ, of CEOs of major corporations is 136 mm Hg}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu\neq[/tex] 136 mm Hg {means that the mean systolic blood pressure, μ, of CEOs of major corporations is 136 mm Hg}
Type I error states that the null hypothesis is rejected when in fact the null hypothesis was true. So, in this context type I error is rejecting that the μ is equal to 136 mm Hg when in fact μ is equal to 136 mm Hg.
Suppose the researcher decides not to reject the null hypothesis. It means the researcher is making a type I error.
a gym charges membership dues of $25 per month. which equation represents the total cost, c, of belonging to the gym for m months?
Answer:
25m=c is the right answer