Determination is your will power of doing something. Someone who is determined has the firmness of purpose and the resolve to achieve a goal.
Synonyms:
resolution, resolve, resoluteness, character.
Antonyms:
weak-mindedness, pusillanimity.
a
Positive
b
Undefined
c
Negative
d
Zero
Solve and choose the answer in its simplest form. 3/4 ÷ 2/3 = ?
Solve each equation for the variable. Show your work and check your solution.
Steps to follow:
Step 1: Distribute First
Step 2: Combine like terms
Step 3: Solve the equation
1. 5x + 4x − 6x = 24 2. 8x + 5 − 4x + 1 = 46
3. 33 = 5(x + 8) + 3 4. 2x + 3(x − 8) = 1
5. x + x − 2x + 4x = −48 6. 2(x + 5) + 3x = 25
7. 60 = 4(x + 3) + 2(x − 3) 8. 47 = 2(x + 3) + 3(x − 3)
9. −2(x + 1.4) − 1.8 = 20.6 10. 8 − 2(x + 4) = 10
11. Tyler told his friend this riddle: “I am thinking of a number. Three times my number plus twice my number is twenty. What number am I thinking of?”
a) Write an equation that models Tyler’s statement.
b) Solve the equation. What number was Tyler thinking of?
Answer:
1. This is a like term
24 = 24
2. This is not a like term
12x - 6 = 46
3. This is not a like term
33 = 5x + 43
4.This is a like term
1 = 1
5. This is not a like term
7x = -48
6. This is a like term
25 = 25
7. This is a like term
60 = 60
8. This is a like term
47 = 47
9.This is a like term
20.6 = 20.6
10.This is a like term
10 = 10
Step-by-step explanation:
1. 5x + 4x − 6x = 24
5x + 4x = 9x
9x - 6x = 24
3x = 24
We can replace x and turn it into an 8.
3(8) = 24
3 x 8 = 24
24 = 24
This is a like term.
2. 8x + 5 − 4x + 1 = 46
8x + 4x - 5 + 1 = 46
8x + 4x = 12x
12x - 5 + 1 = 46
5 + 1 = 6
12x - 6 = 46
We cannot replace the x with any number to get 46.
So this is not a like term.
3. 33 = 5(x + 8) + 3
5xX= 5x
5 x 8 = 40
33 = 5x + 40 + 3
40 + 3 = 43
33 = 5x + 43
We cannot replace any number with x and get 33.
This is not a like term.
4. 2x + 3(x − 8) = 1
3 x X = 3x
3 x 8 = 24
2x + 3x - 24 = 1
2x + 3x = 5x
5x - 24 = 1
We can replace the x with 5.
5(5) - 24 = 1
5 x 5 = 25
25 - 24 = 1
1 = 1
This is a like term
5. x + x − 2x + 4x = −48
x + x = 1x because x is always a 1
1x - 2x +4x = -48
1x + 2x = 3x
4x + 3x = 7x
7x = -48
We cannot replace x with any number.
This is not a like term.
6. 2(x + 5) + 3x = 25
2 x X = 2x
2 x 5 = 10
2x + 10 + 3x = 25
2x + 3x + 10 = 25
2x + 3x = 5x
5x + 10 = 25
We can replace the x with a 3.
5(3) + 10 = 25
5 x 3 = 15
15 + 10 = 25
25 = 25
This is a like term.
7. 60 = 4(x + 3) + 2(x − 3)
4 x X = 4x
4 x 3 = 12
60 = 4x + 12 + 2(x - 3)
2 x X = 2x
2 x 3 = 6
60 = 4x + 12 + 2x - 6
60 = 4x +2x +12 - 6
4x - 2x = 2x
60 = 2x + 12 - 6
12 - 6 = 6
60 = 2x + 6
We can replace the x with a 33.
60 = 2(33) - 6
2 x 33 = 66
66 - 6 = 60
60 = 60
This is a like term.
8. 47 = 2(x + 3) + 3(x − 3)
2 x X = 2x
2 x 3 = 6
47 = 2x + 6 + 3(x - 3)
3 x X = 3x
3 x 3 = 9
47 = 2x + 6 + 3x - 9
47 = 2x + 3x + 6 - 9
2x + 3x = 5x
47 = 5x + 6 - 9
6 - 9 = -3
47 = 5x + -3
We can replace the x with a 10.
47 = 5(10) + -3
5 x 10 = 50
47 = 50 + -3
50 + -3 = 47
47 = 47
This is a like term.
9. −2(x + 1.4) − 1.8 = 20.6
-2 x X = -2x
-2 x 1.4 = -2.8
-2x + -2.8 - 1.8 = 20.6
-2.8 - 1.8 = -4.6
-2x + -4.6 = 20.6
We can replace x with a 8.
-2(8) + -4.6 = 20.6
-2 x 8 = -16
-16 + -4.6 = 20.6
20.6 = 20.6
This is a like term.
10. 8 − 2(x + 4) = 10
2 x X = 2x
2 x 4 = 8
8 - 2x + 8 = 10
8 - 8 + 2x = 10
8 - 8 = 0
0 + 2x = 10
We can replace x with 5.
0 + 2(5) = 10
2 x 5 = 10
0 + 10 = 10
10 = 10
This is a like term.
I hope this helped. I am sorry if you get this wrong. Have a wonderful day.
A common abuse of bar graphs is
Answer:
A common abuse of bar graphs is to. replace bars by pictures and increase both height and width as the variable plotted increases. If a bar graph is to be accurate, it is essential that. the bars all have the same width.
Evaluate 4xy+7y-9x+21-3x^2 when x=2 and y=-1 pour answer
Answer:
-24?
Step-by-step explanation:
4xy + 7y - 9x + 21 - 3x^2
4(2)(-1) + 7(-1) - 9(2) + 21 - 3(2)^2
-8 - 7 - 18 + 21 - 12
- 24
I’ll mark Brainly! Which numerical equation could be used to describe the diagram?
A) −2 + 6 = 4
B) 4 + (−6) = −2
C) −2 + (−6) = −8
D) −6 + (−2) = −8
Please answer these four questions pleaseeeee
The microwave oven was invented in 1945 when some experiments with radar equipment failed and melted some nearby chocolate instead. The scientists realized there were other applications for this energy sirve. What is this an example of?
A. Creative thinking
B. Scientific method
C. Scientific law
D. Artistic ability
Answer:
It is an example of Scientific Law
Option C is correct...
Mark me as Brainliest if it was helpful
Write 2 x 10^-5
in standard notation.
2 divided by 3
In a fraction please
Answer: 2/3
The slash means division, and it also means a fraction, as they are effectively one in the same.
2/3 = 0.667 approximately after using a calculator
which of the following statements is true, based on the graph
eye color vs. favorite color
Most of the bars are pretty close to each other.
The answer would be the first choice.
whats 1 + 1? (P.S this is just a joke)
Please help me?
8 + 12 ÷ ( 4 - 2 )
Answer:
14
Step-by-step explanation:
Use PEMDAS to start with parantheses and then divide and then add
Answer
Step-by-step explanation:
Mrs B and Ms R plan to walk 3.75 miles to and from school every day for an entire year. If they meet their goal how many miles will they walk?
3.75 X 365 = X
or
3.75 X 366=x
or
3.75 X 180=x
I dont know what equation to use.
How many 20p coins would you need to make £10?
Answer:
50 20p coins is needed to make 10 pounds
the diagram shows the graph of the function y=(x-r)²+4, where r is a constant.
a) find the value of r
Answer:
d
Step-by-step explanation:
how to break 2/5 in a fraction.
Answer:so it is 0.4 or 40% and it is hard to explain
Step-by-step explanation:
Please help! Need ASAP
Find a linear inequality with the following solution set. Each grid line represents one unit.
[asy]
size(200);
fill((-5,-3)--(5,2)--(5,5)--(-5,5)--cycle,yellow);
real ticklen=3;
real tickspace=2;
real ticklength=0.1cm;
real axisarrowsize=0.14cm;
pen axispen=black+1.3bp;
real vectorarrowsize=0.2cm;
real tickdown=-0.5;
real tickdownlength=-0.15inch;
real tickdownbase=0.3;
real wholetickdown=tickdown;
void rr_cartesian_axes(real xleft, real xright, real ybottom, real ytop, real xstep=1, real ystep=1, bool useticks=false, bool complexplane=false, bool usegrid=true) {
import graph;
real i;
if(complexplane) {
label("$\textnormal{Re}$",(xright,0),SE);
label("$\textnormal{Im}$",(0,ytop),NW);
} else {
label("$x$",(xright+0.4,-0.5));
label("$y$",(-0.5,ytop+0.2));
}
ylimits(ybottom,ytop);
xlimits( xleft, xright);
real[] TicksArrx,TicksArry;
for(i=xleft+xstep; i0.1) {
TicksArrx.push(i);
}
}
for(i=ybottom+ystep; i0.1) {
TicksArry.push(i);
}
}
if(usegrid) {
xaxis(BottomTop(extend=false), Ticks("%", TicksArrx ,pTick=gray(0.1),extend=true),p=invisible);//,above=true);
yaxis(LeftRight(extend=false),Ticks("%", TicksArry ,pTick=gray(0.1),extend=true), p=invisible);//,Arrows);
}
if(useticks) {
xequals(0, ymin=ybottom, ymax=ytop, p=black, Ticks("%",TicksArry , pTick=black+0.8bp,Size=ticklength), above=true, Arrows(size=axisarrowsize));
yequals(0, xmin=xleft, xmax=xright, p=black, Ticks("%",TicksArrx , pTick=black+0.8bp,Size=ticklength), above=true, Arrows(size=axisarrowsize));
} else {
xequals(0, ymin=ybottom, ymax=ytop, p=axispen, above=true, Arrows(size=axisarrowsize));
yequals(0, xmin=xleft, xmax=xright, p=axispen, above=true, Arrows(size=axisarrowsize));
}
};
draw((-5,-3)--(5,2),dashed+red, Arrows(size=axisarrowsize));
rr_cartesian_axes(-5,5,-5,5);
for( int i = -4; i 0$ or $ax+by+c\geq0$ where $a,$ $b,$ and $c$ are integers with no common factor greater than 1.)
Answer:
nobody gonna answer this for 5 points. you have to put 1 question for each 5 points
Solve 4x – 2(x + 1) = 3x + 10
Ox= -12
Ox=12
Ox= -8
Ox=8
HELP ASAP
Answer:
The Answer is : x= -12
Step-by-step explanation:
[tex]4x-2(x+1)=3x+10\\4x-2x-2=3x+10\\2x-2=3x+10\\2x-3x=10+2\\-x=12\\x=-12[/tex]
Answer:
[tex] \huge \boxed{x = - 12}[/tex]
Step-by-step explanation:
[tex]4x – 2(x + 1) = 3x + 10[/tex]
Expand the terms in the bracket
That's
[tex]4x - 2x - 2 = 3x + 10 \\ 2x - 2 = 3x + 10[/tex]
Subtract 2x from both sides of the equation
[tex]2x - 2x - 2 = 3x - 2x + 10 \\ - 2 = x + 10[/tex]
Subtract 10 from both sides of the equation
[tex] - 2 - 10 = x + 10 - 10 \\ x = - 12[/tex]
We have the final answer as
[tex]x = - 12[/tex]
Hope this helps you
please hurry i need this fast
This triangle is congruent under the ASA congruence postulate as the two corresponding parts of this triangle which are angles are equal and there is one equal side . The equal side is the common side of both these triangles .
(3.2 x 104)x(1.4 x 102)
Answer:
47523.84
Step-by-step explanation:
can someone please help within 30 minutes :)
Answer: D
Step-by-step explanation:
It's 113 bc 180-67=113 and it's consecutive bc they are on the same side and right next to each other
Answer:
hellooo…
I think one of two options
C or D
A store sells juice in different sizes. Determine which size is the best buy and the unit price.
8 oz $2.40
24 oz $6.48
64 oz $14.08
how to find sample variance with these numbers?
4364
4459
4740
4510
4509
4666
4946
4499
4857
4022
3841
4230
Answer:
s2 = 105174.93
Step-by-step explanation:
s2=∑ni=1(xi−x¯)^2 / n−1
If y = –7 and z = –3, what is –y + z?
Answer:
4
Step-by-step explanation:
-(-)7+-3
7+(-)3
The answer is 4
solve for x
2 1/2x−3/4(2x+5)=3/8
Answer:
x = 33/8
Step-by-step explanation:
Answer:
x = 33/8
Step-by-step explanation:
I agree with the other person.
can somebody pleaase answer for me
someone help... please :/
Answer:
-1/4
Step-by-step explanation:
According to the Centers for Disease Control and Prevention (February 18, 2016), 1 in 3 American adults don’t get enough sleep. A researcher wants to determine if Americans are sleeping less than the recommended 7 hours of sleep on weekdays. He takes a random sample of 150 Americans and computes the average sleep time of 6.7 hours on weekdays. Assume that the population is normally distributed with a known standard deviation of 2.1 hours. Test the researcher’s claim at α = 0.01
a. Select the relevant null and the alternative hypotheses.
A. H0: μ = 7; HA: μ ≠ 7
B. H0: μ ≤ 7; HA: μ ≥ 7
C. H0: μ ≥ 7; HA: μ < 7
b. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)
Test statistic = ?
c. Find the p-value
A. p-value < 0.01
B. 0.01 ≤ p-value < 0.025
C. 0.025 ≤ p-value < 0.05
D. 0.05 ≤ p-value < 0.10
E. p-value ≥ 0.10
d. What is the conclusion at α = 0.01?
A. Reject H0 since the p-value is greater than α.
B. Reject H0 since the p-value is smaller than α.
C. Do not reject H0 since the p-value is greater than α.
D. Do not reject H0 since the p-value is smaller than α.
e. Make an inference.
A. There is insufficient evidence to suggest that Americans sleep less than the recommended 7 hours of sleep.
B. There is sufficient evidence to suggest that Americans sleep less than the recommended 7 hours of sleep.
Answer:
A) Option C: H0: μ ≥ 7; HA: μ < 7
B) test statistic = -1.75
C) Option C: 0.025 ≤ p-value < 0.05
D) Option C: Do not reject H0 since the p-value is greater than α.
E) Option A: There is insufficient evidence to suggest that Americans sleep less than the recommended 7 hours of sleep.
Step-by-step explanation:
We are given;
Population mean; μ = 7
Sample mean; x = 6.7
Standard deviation; s = 2.1
Sample size; n = 150
A) Defining the hypothesis, we have;
Null Hypothesis; H0: μ ≥ 7
Alternative hypothesis; HA: μ < 7
B) Formula for the test statistic is;
z = (x - μ)/(s/√n)
Plugging in the relevant values, we have;
z = (6.7 - 7)/(2.1/√150)
z = -0.3/0.1715
z = -1.75
C) Using online p-value from z-score calculator attached with; z = - 1.75 ; α = 0.01 and one tailed distribution, we have;
The P-Value = 0.040059
Thus,the most appropriate answer is;
Option C: 0.025 ≤ p-value < 0.05
D) P-value is greater than the significance level, thus we fail to reject the null hypothesis.
E) We will conclude that there is insufficient evidence to suggest that Americans sleep less than the recommended 7 hours of sleep.
Andre brought a new bag of cat food. The next day, he opened it to feed his cat. The graph shows how many ounces were left in the bag on the days after it was brought.