The equation that is equivalent to the expression 7-2(3x+4)=8x is
-6x - 1 = 8x.
Option B is the correct answer.
We have,
To find the equation that is equivalent to 7-2(3x+4)=8x, simplify the given equation by applying the distributive property and combining like terms.
7 - 2(3x + 4) = 8x
First, distribute the -2 to the terms inside the parentheses:
7 - 6x - 8 = 8x
Combine like terms:
-6x - 1 = 8x
Thus,
The equation that is equivalent to the expression 7-2(3x+4)=8x is
-6x - 1 = 8x.
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Last year there were 620 7th graders. This year the enrollment has increased by 105%. How many 7th graders are there this year?
Answer:
1,271
Step-by-step explanation:
620 + (105% × 620) =
620 + 105% × 620 =
(1 + 105%) × 620 =
(100% + 105%) × 620 =
205% × 620 =
205 ÷ 100 × 620 =
205 × 620 ÷ 100 =
127,100 ÷ 100 =
1,271
A store sells toys in bulk. It sells wooden blocks for $5 a pound and plastic bricks for $10 a pound. How many pounds of wooden blocks and plastic bricks should be used to make a 10-pound mixture that would sell for $80?
Answer: 4 pounds of wooden blocks and 6 pounds of plastic bricks should be used.
Step-by-step explanation:
Let x = Quantity of wooden blocks.
y = Quantity of plastic bricks.
As per given , we ahve
5x+10y=80 (i)
x+y=10 (ii)
Multiply 5 on both sides of (ii), we get
5x+5y=50 (iii)
Eliminate (i) from (iii), we get
5y=30
⇒ y= 6
Put y=6 in (ii), we get
x+6=10
⇒ x= 10-6= 4
Hence, 4 pounds of wooden blocks and 6 pounds of plastic bricks should be used.
The manager of an ice cream shop found that the probability of a new customer ordering vanilla ice is 7\9. What are the odds against a new customer ordering vanilla ice cream?
Answer:
The odds-against a new customer ordering a vanilla ice cream are: 2/7 or 2 to 7
Step-by-step explanation:
Odds-against is the ratio of probability of non-occurrence of an event to the probability of occurrence of an event.
Let p be the probability that the new customer will order vanilla
Then
[tex]p = \frac{7}{9}[/tex]
Let q be the probability that the new customer will not order vanilla
[tex]q = 1-p\\= 1 - \frac{7}{9}\\= \frac{9-7}{9}\\=\frac{2}{9}[/tex]
Now the odds against formula is:
[tex]\frac{Probability\ of\ non-occurrence}{Probability\ of\ occurrence}= \frac{q}{p}\\=\frac{\frac{2}{9}}{\frac{7}{9}}\\=\frac{2}{9} * \frac{9}{7}\\=\frac{2}{7}[/tex]
Hence,
The odds-against a new customer ordering a vanilla ice cream are: 2/7 or 2 to 7
Jack can long-jump 195% of his height with a running start. If Jack can long jump 97.5 inches, how tall is he? *
Answer: 190
Explanation: Divide 97.5 from 195% and then round.
The Jacks height from the given situation is 49.08 inches.
Given that, Jack can long-jump 195% of his height with a running start.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Let the height of jack be x.
So, 195% of x = 95.7
⇒ 195/100 × x=95.7
⇒ 1.95x=95.7
⇒ x=95.7/1.95
⇒ x=49.08 inches
Hence, the Jacks height from the given situation is 49.08 inches.
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If x=6, find the value of
Answer:
a) 10
b) 18
c) 3
Step-by-step explanation:
Answer:
A) 10
B) 18
C) 3
Step-by-step explanation:
A) 6 + 4 = 10
B) 3(6)= 18
C) 6/2 = 3
The temperature, T, for an oven can be described by the equation T = 44m +67 for the
first 10 minutes after it's turned on, where m is minutes. Find the T-intercept and interpret
its meaning in the context of the problem.
Answer:
T-intercept = 67
Step-by-step explanation:
Given
T = 44m + 67
Required
Calculate and interpret the t-intercept
To calculate the t-intercept, we simply set the number of minutes (m) to 0
i.e. substitute 0 for m in T = 44m + 67
T = 44 * 0 + 67
T = 0 + 67
T = 67
Hence, the T-intercept is 67
The interpretation is that the initial temperature when the oven is turned on is 67 degrees
What's the range of this function graph
Answer:
[2,∞)
Step-by-step explanation:
The range is the y intercept and the function starts at 2 and continues going up causing the range of the function to be [2,∞)
h(x)=4x+4 find h(3b)
Answer:
h(3b)=12b+4
another answer
h(3b)=4(3b+1)
Step-by-step explanation:
h(x)=4x+4
h(3b)=4(3b)+4
h(3b)=12b+4
if need to simplify..then:
h(3b)=4(3b+1)
Martin is two years older than Reese, and the same age as Lee. If Lee is 12, how old is Reese? but in algebraic form
Find the equation of the line.
y = [? ]x + [ ]
Answer:
Y=4x+1
Step-by-step explanation:
30 POINTS IF U GET IT RIGHT
The original price of a chair was $545.00. The store had a sales tax of 4.5%. What is the exact price of the chair, including tax?
PLEASE HELPPP I AM BEING TIMED
Answer: It is eather A or D (sorry for my spelling)
Step-by-step explanation:
Find the parabola with equation y = ax2 + bx whose tangent line at (2, 8) has equation y = 12x − 16.
Answer:
y = 4x(x-1)Step-by-step explanation:
Before we can calculate the equation of the parabola in the form
y = ax²+bx, we need to get the value of a and b.
First we need to set up a simultaneous equation as shown;
since y = ax²+bx
dy/de = y' = 2ax + b
Substitute the point (2, 8) into the equation
y' = 2a(2)+b
y' = 4a + b
Since y' is also the slope of the equation y = 12x-16, hence y' = 12 on comparison.
The equation becomes;
12 = 4a+b
4a+b = 12 ........... 1
Since the point (2, 8) is also on the parabola, then it must satisfy the equation y = ax²+bx
substitute the coordinate;
8 = a(2)²+b(2)
8 = 4a + 2b
4 = 2a + b
2a+b = 4 ........... 2
Solve equations 1 and 2 simultaneously
4a+b = 12 ........... 1
2a+b = 4 ........... 2
Substract both equation
4a - 2a = 12-4
2a = 8
a = 4
substitute a = 4 into equation 2 and get b;
From 2; 2a+b =4
2(4)+ b = 4
8+b = 4
b = 4-8
b = -4
Substitute a = 4 and b = -4 into the equation of the parabola y = ax²+bx
y = 4x²+(-4)x
y = 4x²-4x
y = 4x(x-1)
Hence the required equation of the parabola is y = 4x(x-1)
The sum of three consecutive intgers is 72 find the smallest integer
Step-by-step explanation: 23 is the answer
23+24+25=72
Find three consecutive integers whose sum is 51.
Answer:
16,17,18
your welcome
If 10% of men are bald, what is the probability that fewer than 100 in a random sample of 818 men are bald? (Answers must be in 4 decimal values)
Answer: the probability that fewer than 100 in a random sample of 818 men are bald is 0.9830
Step-by-step explanation:
Given that;
p = 10% = 0.1
so let q = 1 - p = 1 - 0.1 = 0.9
n = 818
μ = np = 818 × 0.1 = 81.8
α = √(npq) = √( 818 × 0.1 × 0.9 ) = √73.62 = 8.58
Now to find P( x < 100)
we say;
Z = (X-μ / α) = ((100-81.8) / 8.58) = 18.2 / 8.58 = 2.12
P(x<100) = P(z < 2.12)
from z-score table
P(z < 2.12) = 0.9830
Therefore the probability that fewer than 100 in a random sample of 818 men are bald is 0.9830
Can someone solve please? An explanation with it would help as well!
I need help answering this question
Answer:
[tex] x = 53 [/tex]
Step-by-step explanation:
[tex] 65 = x + 12 [/tex] (alternate interior angles are congruent)
Subtract 12 from each side
[tex] 65 - 12 = x + 12 - 12 [/tex]
[tex] 53 = x [/tex]
[tex] x = 53 [/tex]
Matt is helping to set up drinks and snacks for a luncheon.
Matt has 4.8 liters of iced tea. He is going to pour this into pitchers that can each only hold 0.8 liters of iced tea.
If Matt pours an equal amount of iced tea into each pitcher, how many pitchers does he fill?
Answer:
he will fill 6 pitchers
Step-by-step explanation:
4.8÷0.8=6
Need help, looked at it and got confused, so here I am.
===============================================
Explanation:
The order of the lettering is important when it comes to similar polygons. This is because the order tells us how the letters pair up.
I don't recommend using solely the diagram to try to see how the angles pair up because the diagram might not be to scale. So we'll just be focused on the lettering.
In the sequences ABCDE and PQRST, we have letters E and T as the last items. This means they correspond and pair up together. Furthermore, these angles are congruent (since similar polygons have congruent corresponding angles).
So in short, E = T.
The diagram shows E = 110 and T = 2x+10
This leads to...
E = T
110 = 2x+10
2x+10 = 110
2x = 110-10
2x = 100
x = 100/2
x = 50
First and Last Name 1. A waste oil tank is five feet wide by twenty feet long. The empty tank on your truck holds 5,000 gallons. If 7.48 gallons are in every cubic foot, what is the maximum depth the oil can be to completely fit into your truck? * A) 0.15 B) 668 C) 6.38 D) 6.68'
Answer:
b)668
Step-by-step explanation:
volume of the truck: 5000/7.48=668.45cu/ft
let d= the depth of the oil in the truck
5 *20*d=66.8.45
100d=66.8.45
d=668.45
so it would be b :)
The highest temperature in Fairbanks Alaska was 15.7 degrees Fahrenheit one day that night the temperature fell 38.4 degrees what was the lowest temperature for the night?
Answer:
-22.7 degrees Fahrenheit
Step-by-step explanation:
Subtract change in temperature from the original temperature. 15.7 - 38.4 = -22.7. Hope this helps!!
3/8 plus 5/6 divided by 5 A. 4 13/25 B.3/14 C.13/24 D.2 3/8 HELP NOW !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Try working this out with decimals
3/8 = 0.375
5/6 = 0.833 Add these
Total = 1.20833
Now divide by 5
1.20833/5
.24166
I think I would use this as my answer, but if you want fractions ...
3/8 + 5/6 The common denominator is 24
3*3/3*8 = 9 / 24
5*4/6*4 = 20/24
9/24 + 20/24 = 29/24
Now divide by 5
==================
29 / 24 // 5/1 Invert the denominator and multiply
29/24 * 1/5 = 29/120
Does that equal the decimal result that we got?
29/120 = .24166 which is the same thing. The fractions are a little harder to handle than the decimals.
Given the system of equations, solve for x
2x - 3y = -19
4x + 5y = 17
Answer:x=-2
Step-by-step explanation: First, you need to multiply 2 for the first equation. The first equation becomes 4x-6y=-38. Then you have to subtract the first equation from the second equation, so it becomes 11y=55. 55/11=5, so y =5. We can plug 5 into the equation, and from there, we can draw out the conclusion that x=-2. You can also verify this by plugging -2 into the equation, which I did.
The product of 2 and the cube of a number.
Answer:
2n + n³
There you go.
Answer:
2×n^3
Step-by-step explanation:
i believe this is correct
free brainlyiWhich of the following is true? (1 point)
1)
|−6| < 5
2)
|−6| < |5|
3)
|−5| < |−6|
4)
|−5| < −6
Answer:
1)
Step-by-step explanation:
Answer:
all of it
Step-by-step explanation:
IF YOU ANSWER THESE FOR ME...I'LL DO ANYTHING...anything...FOR you PLZ!!!!
All you are doing for these problems is plugging in your given x value into the equation given in the answer choices and seeing if you get the answer for “y” given in the table.
Answer:
For the first table:
A) y=5x-3 (plug in -6 in place of x and see if you get -33. Do the same for 3,9,-4,-5)
y=5(-6)-3=-30-3=-33
y=5(3)-3=15-3=12
y=5(9)-3=45-3=42
y=5(-4)-3=-20-3=-23
y=5(-5)-3=-25-3=-28
Your answer for the first image is A) y=5x-3
For the second image: (plug in 4 in place of x and see if you get 26. Do the same for -2,1,8,-3)
y=6x-2
y=6(4)-2=20-2=18 WRONG it should be 26
y= 6x+2
y=6(4)+2=24+2=26
y=6(-2)+2=-12+2=-10
y=6(1)+2=6+2=8
y=6(8)+2=48+2=50
y=6(-3)+2=-18+2=-16
Answer for image 2 is B) y=6x+2
Answer:
hi
Step-by-step explanation:
can someone please help me. given g(x) = -4x+4, find g(3).
PLS HELP ILL GIVE YOU FREE PIONTS AND BRAINLEST PLSSS
Answer:
B,D,C,A,E
Step-by-step explanation:
-1, -4/3, 1/2, 2, 2 1/4
Answer:
BDCAE
Step-by-step explanation:
hope this help
Does ANYONE know how to solve this?