Answer:
1. 8a
2. -13
Step-by-step explanation:
1. 2(5a − 4a) + 6a
= 10a - 8a + 6a
= 2a + 6a
= 8a
2. −2(x − 9) = 44
-2x + 18 = 44
-2x = 44 - 18
-2x = 26
x = 26/-2
x = -13
1) open the bracket
10a-8a+6a
2a+6a
8a
2) open the bracket
-2x+18=44. Remember - × - = +
Collect like terms
-2x=44-18
-2x=26
Divide both side by -2
x=-13
Which number can be used in the box to make the number sentence true?
26-8 >_ + 3
A.11
B.15
C.23
D.26
Answer:
Step-by-step explanation:bbbb
25.34 times 1,000 = ??
PLEASE SHOW AND/OR EXPLAIN YOUR WORK ON HOW YOU GOT THE ANSWER
Answer:
Step-by-step explanation:
25.34
x 1,000
——————
253,400
The table shows the amount of gas, in gallons, a truck has left after it is driven at a constant rate for a certain number of hours.
Number of Hours Driven Amount of Gas Left
3
9
4
6
5
3
Which statement is true?
The truck initially has
9
gallons of gas, and each hour
3
gallons of gas are used.
The truck initially has 9 gallons of gas, and each hour 3 gallons of gas are used.
The truck initially has
9
gallons of gas, and each hour
6
gallons of gas are used.
The truck initially has 9 gallons of gas, and each hour 6 gallons of gas are used.
The truck initially has
18
gallons of gas, and each hour
3
gallons of gas are used.
The truck initially has 18 gallons of gas, and each hour 3 gallons of gas are used.
The truck initially has
18
gallons of gas, and each hour
9
gallons of gas are used.
The truck initially has 18 gallons of gas, and each hour 9 gallons of gas are used.
Answer:
assuming I read this correctly
The truck initially has
18
gallons of gas, and each hour
3
gallons of gas are used.
The truck initially has 18 gallons of gas, and each hour 3 gallons of gas are used.
Step-by-step explanation:
please help me i will give brainliest to first person to anwser.
Answer:
The first option, V ≈ 1607.7 in²
Step-by-step explanation:
Find the volume of the given cylinder.
\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)
Given:
r = 8 in
h = 8 in
π = 3.14
Find:
V = ?? in³
\(\hrulefill\)
Now solving,
Substitute the given values into the formula:
=> V = (3.14)(8)²(8)
Using a calculator to simplify:
=> V = 1607.68 in²
Rounded to the nearest tenth:
∴ V ≈ 1607.7 in²
Thus, the first option is correct.
PLS HELP ME!!!!! URGENT!
Answer:
it's the very first anwer
Step-by-step explanation:
all you had to do was subtract the bottom exponents from the top, maintaining the sane base numbers
\( \frac{4 {}^{33 } \times {8}^{37} }{4 {}^{15 \times } 8 {}^{21} } \\ we \: know \: that \\ {a}^{m} \div {a}^{n} = (a) {}^{m - n} \\ \: = (4) {}^{33 - 15} \times (8) {}^{37 - 21} \\ = (4) {}^{18} \times (8) {}^{16} \)
option (1) is correct answerProportional relationships, please answer all of the parts! Thank you!
Answer:
a. No (see below)
b. (see below)
c. Johnny
d. Johnny = $12.50 / hour Doug = $9.16... / hour
e. Doug: extend the table to show how much he gets paid for 1 hour of work (the unit rate)
Johnny: already on the graph
Step-by-step explanation:
a. No. This is because a proportional relationship would have a certain ratio between payment and the amount of time spent working, which would not change. However, if Doug's neighbour pays him $55 for 6 hours, it's likely that this is not a proportional relationship, or we would be able to divide $55 by the 6 hours Doug spent working.
b. Even though above I said that it's probably not a proportional relationship, if it were, we would have to divide everything equally. I'm guessing the table should look like this:
Doug
Time (hr) Earnings ($)
4 $36.66...
5 $45.8333...
6 $55
7 $64.4666....
8 $73.333...
To work out how much Doug would get for working 4 hours:
4/6 x $55 = 2/3 x $55 = $36.66... (so definitely not a proportional relationship)
To work out how much Doug would get for working 5 hours:
5/6 x $55 = $45.8333.... (more evidence that this is not a proportional relationship)
To work out how much Doug would get for working 7 hours (we already got 6 hours):
7/6 x $55 = $64.4666...
To work out how much Doug would get for working 8 hours:
8/6 x $55 = $73.33... (we could double the 4 hour payment, but this is probably more accurate)
c. Johnny is getting paid more. If we look at how much Doug gets for 6 hours, it's $55. If we look out at how much Johnny gets for 6 hours, it's $75. (If we do the same with the other amounts of time, it's the same.
4 hours: D = $36.67 vs J = $50
5 hours: D = $45.83 VS J = $60
etc...
d. Johnny gets $75 per 6 hours --> 75/6 = $12.50 per hour
Doug gets $55 per 6 hours --> 55/6 = $9.1666... per hour
e. Carry on the table for Doug all the way to 1, so you can see the how much Doug gets paid for 1 hour of work (i.e. the minimum).
The unit rate is already on the graph for Johnny.
HOPE THIS HELPED :)
P.S. Mate cld you please give me Brainliest? That table took so much dam work
hich equation corresponds to the sentence, "Five times a minus two is equal to t"?
A. 2a + 5 = t
B. 5(2) + a = t
C. 5a – 2 = t
D. 2 x 5(a) = t
Answer:
C is the correct answer.
Step-by-step explanation:
5a = Five times a
- 2 = minus two
= t = is equal to t
The equation and its parts correspond with the sentence.
Answer:
b on edge 20211
Step-by-step explanation:
help im timed is it a b c d
Answer:
Since ABC and DEF are congruent, they have the same measures so DE and AB are equal. This gives you the answer of A) 16 cm.
I hope this helps, have a great day! :)
100 PTS *MIDDLE SCHOOL 7th GRADE***** HELP PLEASE!
Answer: x=108 degrees
Step-by-step explanation:
Since ST is a straight line, it measures 180 degrees.
This means that
x+(2/3)x=18
The simplified version is 5x/3=180. Now, we multiply both sides by 3. The equation becomes 5x=540 you would divide 5 by both sides which is ultimately x=108.
Answer:
x=108 degrees
Step-by-step explanation:
We know that since ST is a line, it equals a total of 180 degrees.
Let's write an equation:
\(180=x+\frac{2}{3}x\)
simplify
\(180=\frac{5}{3} x\)
divide both sides by 5/3
108=x
So, x=108 degrees.
Hope this helps! :)
questions ten through 20 for 100 points please
Answer: image
Step by step: Just distribute the numbers into the parenthesis. i believe that is what you do.
Answer: Here are the correct answers (#10-#20):
10. 6(3+9) = (6*3)+6*9) = 18+54=72
11. 8(8+5)=(8*8)+(8*5)=64+40=104
12. (10+9)3=(3*10)+(3*9)=30+27=57
13. (12+7)5=(5*12)+(5*7)=60+35=95
14. 9(12-3)=(9*12)-(9*3)=108-27=81
15. 3(15-5)=(3*15)-(3*5)=45-15=30
16. -4(8-5)=(-4*8)+(-4*-5)=-32+20=-12
17. -7(16-8)=(-7*16)+(-7*-8)=-112+56=-56
18. 14(20-4)=(14*20)-(14*4)=280-56=224
19. 2 jeans at 32.85 per pair of jeans. 2($32.85) = $65.70
20. 6 miles per hour, 1.5 hours on Saturday + 2 hours on Sunday
=6(1.5+2)=(6*1.5)+(6*2)=9+12=21 total miles
Step-by-step explanation:
Distributive property calculation used above:
a(b+c) = ab + ac
hey guys just need to know if this is right 79 x21=
Answer:
1,659 is your answer
Step-by-step explanation:
I'm gonna assume the question being asked is 19 times 21 and if that's true the answer is 1659. My assumption is probably incorrect, though.
select all the rational numbers
Answer: 5/6, 0.32416, 6.565656
Step-by-step explanation: this are the only ones I know are rational numbers.
i really need help pleaseeeeeeeeeeeee
Answer:
The answer is 8
Step-by-step explanation:
2 + 6 = 8
make me brainliest
Jamar arranged flowers in 35 vases. How many flowers did he arrange?
Could you be more specific? I don't understand the question.
30 pts (new day new question)
Which comparison is not correct?
8 > -9
-7 > -9
-8 < -4
-2 < -9
pls answer nicely, i just woke up tnx
Answer:
-2 < -9
Step-by-step explanation:
On a number line lets say it goes from 0 to 10 on the right side or 0 to -10 on the left side.
-2 is closer to 0 on the number line rather than -9
-9 is NOT greater than -2
-2 IS GREATER than -9
(I hope this helps!) Have a lovely day
1) Each lunch for a school field trip has a turkey, roast beef, or bologna sandwich, an orange or apple for a fruit, and a cookie or muffin for dessert. Amanda and Zack would like to…
-know the number of possible lunch options.
-P of having any meal with NO COOKIE.
(use sample space, tree diagram, and counting principle)
1) there are 12 possible lunch options. 2) the probability of having any meal with no cookie is 1/2 or 0.5.
How to find the number of possible lunch options.1) Number of possible lunch options:
To determine the number of possible lunch options, we need to consider the choices for each component of the lunch.
- Sandwich: There are 3 options (turkey, roast beef, or bologna).
- Fruit: There are 2 options (orange or apple).
- Dessert: There are 2 options (cookie or muffin).
Using the counting principle, we multiply the number of options for each component together:
Number of possible lunch options = 3 (sandwich options) × 2 (fruit options) × 2 (dessert options) = 12.
Therefore, there are 12 possible lunch options.
2) Let's examine the favorable outcomes for each component:
- Sandwich: There are still 3 options (turkey, roast beef, or bologna).
- Fruit: There are 2 options (orange or apple).
- Dessert: There is 1 option (muffin, as we want to exclude cookies).
Using the counting principle, we multiply the number of options for each component together:
Number of favorable outcomes (no cookie) = 3 (sandwich options) × 2 (fruit options) × 1 (muffin option) = 6.
The total number of possible outcomes is still 12 (as calculated in the previous step).
Therefore, the probability of having any meal with no cookie is:
P(No cookie) = Number of favorable outcomes / Total number of possible outcomes = 6 / 12 = 1/2 or 0.5.
Hence, the probability of having any meal with no cookie is 1/2 or 0.5.
Learn more about probability at https://brainly.com/question/13604758
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Answer:
1) there are 12 possible lunch options. 2) the probability of having any meal with no cookie is 1/2 or 0.5.
Step-by-step explanation:
can someone please help me - Mathwatch homework
Work out, giving your answer in its simplest form
3 1/2 ÷ 2 3/5
What should be the first step to solve the equation? 2x + 9(x – 1) = 8(2x + 2) – 5 Combine like terms on each side of the equation. Use the distributive property on each side of the equation. Use the subtraction property of equality to subtract 5 from each side of the equation. Use the addition property of equality to add 2x to each side of the equation.
Answer: The answer is B, use the distributive property on each side of the equation.
Triangle ABC and Triangle DEF shown in the diagram below are similar.
In Triangle ABC, m
In Triangle DEF, m
What's the measure of G? FInd the measures of all missing angles.
Answer:
angle G= 135°
angle E = 45°
angle D = 64°
angle B= 45°
angle C = 71°
Step-by-step explanation: Since ∆ABC~∆DEF
therefore angle A~angle D
angle B~angle E and angle C ~angle F
angle G = 180°- angle
i.e. 180° - 45° = 135°
reason :sum of angles on a straight line is 180°
What are the coordinates of the point that is
B(24,-1)?
of the way from A(-8, -9) to
A. (-6,4)
B. (12,-4)
c. (4, -6)
D. (-2, 4)
Answer:
-2,4
----%53$
%58६2%-8
4८३346८
number one please no links
♡Solve the following expression when...
F = 3
7 + 4 + f^2 - 5f + 2
Please help asap!! Tysm!!♡
Answer: hope this helps ♡
7
Step-by-step explanation:
f = 3
7 + 4 + f^2 - 5f + 2
= 7 + 4 + 3² - 5*3 + 2
= 7 + 4 + 9 - 15 + 2
= 20 - 15 + 2
= 5 + 2
= 7
PLSSSS HELP
Compare the two expressions using >, <, or =. 62 × (70 + 8) _________ (70 + 8) × 26
Answer:
62*78 > 78*26
Step-by-step explanation:
think about it
2*11 or 2 * 10
which one is greater
2*11
of course.
higher numbers when multiplying is always higher
700 x 2 x 5
7000 x 1 Answer:
>
Step-by-step explanation:
62 × (70 + 8) ___>____ (70 + 8) × 26
because for multiplcation it does not matter the order you multiplie its the same ex.
100 x 5 x 7 x 2 x 1 100 x 1 x 7 x 2 x 5
500 x 7 x 2 x 1 100 x 7 x 2 x 5
3500 x 2 x 1 700 x 2 x 5
7000 x 1 1400 x 5
7000 7000Given the points A(3, 1), B(6, y) and C(12, -2) find the value(s) of y if…
(a) The distance AB is 5
(b) The lines AB and BC are perpendicular
[Level - GCSE]
Worth 20 points
I’ll give brainliest if I figure out to use it.
The value of y the distance AB is 5 is -3.
We are given that;
The three points A(3, 1), B(6, y) and C(12, -2)
Now,
We can use the distance formula to find the value of y when the distance AB is 5:
AB = sqrt((6-3)^2 + (y-1)^2) = 5
Simplifying this equation gives:
(y-1)^2 = 16
Taking the square root of both sides gives:
y-1 = ±4
Therefore, the possible values of y are:
y = 1 + 4 = 5 or y = 1 - 4 = -3
To find the value(s) of y when lines AB and BC are perpendicular, we can use the slope formula to find the slopes of AB and BC:
slope AB = (y-1)/(6-3) = (y-1)/3 slope BC = (-2-y)/(12-6) = (-2-y)/6
Since AB and BC are perpendicular, their slopes are negative reciprocals of each other. Therefore:
(slope AB) * (slope BC) = -1
Substituting the slopes into this equation gives:
(y-1)/3 * (-2-y)/6 = -1
(y-1)(y+4) = -18
y^2 + 3y - 4 = -18
y^2 + 3y + 14 = 0
Therefore, by distance the answer will be -3.
Learn more about distance between two points here:
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Pls help me it’s due tomorrow
Here is an example of how to draw an isosceles trapezoid:
_______
/ \
/_________\
In this trapezoid, the two parallel sides (the top and bottom sides) are of equal length, and the two non-parallel sides (the left and right sides) are also of equal length. The angles between the top and left sides and between the top and right sides are equal, as are the angles between the bottom and left sides and between the bottom and right sides.
What is an isosceles trapezoid?An isosceles trapezoid is a type of trapezoid where the two non-parallel sides of the trapezoid are of equal length. This means that the trapezoid has a line of symmetry through its mid-point, which divides the trapezoid into two congruent triangles. The two parallel sides of an isosceles trapezoid are also referred to as bases, and the height of the trapezoid is the perpendicular distance between the two bases.
Because an isosceles trapezoid has two congruent triangles, the angles opposite these sides are also congruent. Therefore, an isosceles trapezoid has two pairs of congruent angles, with each pair containing one acute angle and one obtuse angle. The acute angles are located adjacent to the parallel sides, while the obtuse angles are located adjacent to the non-parallel sides.
Isosceles trapezoids have several interesting properties, including that the diagonals of an isosceles trapezoid are congruent, and that the diagonals bisect each other. Additionally, the length of each diagonal can be found using the Pythagorean theorem, and the area of an isosceles trapezoid can be determined using the formula:
Area = ((a + b) / 2) * h
Where "a" and "b" are the lengths of the two parallel sides (bases) and "h" is the height of the trapezoid.
PART B:
An isosceles trapezoid is a quadrilateral with two parallel sides (the bases) and two non-parallel sides of equal length. A parallelogram is also a quadrilateral with two pairs of parallel sides.
An isosceles trapezoid can be thought of as a special case of a parallelogram where one pair of opposite sides is shorter than the other pair. In fact, if you extend the non-parallel sides of an isosceles trapezoid until they intersect, you will get a parallelogram with the same base and height as the original trapezoid.
Conversely, if you take a parallelogram and draw a line segment parallel to one pair of opposite sides, you will get an isosceles trapezoid. This means that every isosceles trapezoid can be thought of as a parallelogram with a missing piece, and every parallelogram can be thought of as an isosceles trapezoid with extra pieces added on.
So, in summary, isosceles trapezoids and parallelograms are related in that isosceles trapezoids can be thought of as special cases of parallelograms, and parallelograms can be thought of as isosceles trapezoids with extra pieces added on.
PART C:
No, we cannot use the term "isosceles" to describe a rectangle because a rectangle, by definition, has four right angles and opposite sides that are parallel and congruent to each other. An isosceles trapezoid, on the other hand, has only one pair of parallel sides and two non-parallel sides that are congruent to each other.
The term "isosceles" is typically used to describe triangles or trapezoids where two sides are congruent to each other. In an isosceles triangle, two sides are equal in length, while in an isosceles trapezoid, two non-parallel sides are equal in length. However, in a rectangle, all four sides are equal in length, not just two.
Therefore, while we can describe a rectangle as having all sides congruent to each other, we cannot describe it as an isosceles rectangle because "isosceles" implies only two sides are congruent, which is not the case for a rectangle.
Learn more about Isosceles triangles/shapes:
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URGENT!!! REALLY NEED HELP!!!
FIRST *CORRECT* ANSWER WILL BE BRAINLIST!!!!!
The bar graph shows the percent of students that chose each drink in the school
cafeteria. Which statement about the graph is true?
Answer:
1st option
Step-by-step explanation:
Because .3*300=90
.3=30%
Answer:
If 300 lunches were served, then 90 chose milk (7).
Step-by-step explanation:
To determine that this is the correct answer, you can just divide 90/300, which is equal to 0.3 or 30%. When you look at the graph, you can see that "milk" is equal to 30%, so this statement is true.
Jordan is knitting a sweater. He keeps track of how many balls of green and yellow yarn he uses in the table below. If he uses 15 balls of yellow yarn, how many balls of green yarn will he need?
A poll shows that 41% of voters in a city favor of a $0.01 tax increase. If 25 voters are selected at random, what is the probability that exactly 15 of them will vote in favor of
the initiative?
A. 0%
B. 1.2%
C. 2.6%
D. None of the choices are correct
Answer:
2.6% (Approx)
Step-by-step explanation:
Given:
Number of favor voter = 41% = 0.41
Random selected voters = 25
Exact favor voter = 15
Find:
Probability that exactly 15 will in favor.
Computation:
Number of non-favor voter = 1 - 0.41 = 0.59
Given question is a combination problem.
⇒ ²⁵C₁₅ × 0.41¹⁵ × 0.59¹⁰ =
⇒ 0.02598130
= 2.6% (Approx)
I need help understanding how to divide fractions with the same denominator!! Help would be much appreciated, please and thanks! :)
Answer:
read down bellow ------->
Step-by-step explanation:
There is a lengthier way of dividing fractions and it could be said to be a "more correct" method. It involves the use of equivalent fractions to make the denominators of both fractions the same. This is the correct way since, strictly speaking you can’t divide apples by oranges in the same way as you can’t divide fifths by fourths.
now lets go ahead and do it step by step and lets just hope you get it its pretty easy :)
step1.Find a common denominator and convert each fraction to its equivalent value 4/5➗2/3= 12/15 ➗ 10/15step2: Since the denominators are now the same we can divide the numerators 12/15 ➗ 10/15 = 12/10step3: Simplify the fraction 12/10 = 1 1/5HOPE YOU GET IT NOW ! :3A car can be assembled on an assembly line in 6 hours. Assume that the cars are assembled at a constant rate.
. a. How many cars, y, can be assembled in t hours?
b. How many cars can be assembled in a week?
Answer:
a. \(y = \frac{t}{6}\)
b. y = 28
Step-by-step explanation:
\(y = \frac{t}{6}\)
1 day = 24 hours
1 week = 7 days
In 24 hours:
\(y = \frac{24}{6}\)
y = 4
4 cars/day
In 1 week
\(y =(7)(\frac{24}{6})=7*4\)
y = 28