Answer:
-63a+14a+56-3a
= -52a+56
Here we need to use algebraic properties to simplify an expression, we will get:
[tex]7\cdot (-9\cdot a + 2\cdot a + 8) - 3\cdot a = -52\cdot a + 56[/tex]
The mathematical property we need to use is the distributive property.
[tex]A\cdot (B + C) = A\cdot B + A \cdot C[/tex]
So we start with the expression:
[tex]7\cdot (-9\cdot a + 2\cdot a + 8) - 3\cdot a[/tex]
First, we use the distributive property in the first term so we get:
[tex]7\cdot (-9\cdot a + 2\cdot a + 8) - 3\cdot a \\\\= 7\cdot (-9)\cdot a + 7\cdot 2 \cdot a + 7 \cdot8 - 3\cdot a\\\\= -63 \cdot a + 14\cdot a + 56 - 3\cdot a[/tex]
Now we use the distributive property in the other way, we take "a" as a common factor:
[tex]-63 \cdot a + 14\cdot a + 56 - 3\cdot a\\\\= (-63 + 14 - 3)\cdot a + 56\\\\= -52\cdot a + 56[/tex]
Here we got the simplified expression.
If you want to learn more, you can read:
https://brainly.com/question/403991
у
x -1
9
05
1
1
Which equation represents this linear function
Оа
y = -1/4x + 5
y = 4x + 5
y = -4x + 5
y = 1/4x + 5
Answer:
Y=4x + 2 OB y= -x + 5 oC y=2x + 4 D. Y= -x+2
Step-by-step explanation:
The table below lists points of a linear function. X y-1 2 1 6 2 8 5 14
A.Y=4x + 2 OB y= -x + 5 oC y=2x + 4 D. Y= -x+2
You roll a 6-sided number cube with faces numbered 1-6. What is (P)5?
Answer:
1/6
Step-by-step explanation:
A rectangular block of wood measures 5 inches wide. Over time, the width of the block of wood will shrink by 5%. A builder lets the block of
wood shrink. He wants to use it to fill a gap that measures 3.5 inches wide.
How much does the builder need to cut off the wood block so that it will fit exactly in the gap? Enter the answer in the box.
The builder needs to cut
inches off the block of wood.
Answer: [tex]3.675\ in.[/tex]
Step-by-step explanation:
Given
Wood shrinks 5% over the period of time
The width of the gap is 3.5 inch
The length of the rectangular block is 5 inch
So, the builder cut the rectangular block 5% bigger to compensate for the shrinkage
Required length is
[tex]\Rightarrow 3.5+5\%\times 3.5\\\Rightarrow 3.5+0.05\times 3.5\\\Rightarrow 3.5[1+0.05]\\\Rightarrow 3.675\ in.[/tex]
Write each answer in Scientific notation 8x10^3 + 6.45 x 10^4
Answer:
7.25*10^4 let me know if it is wrong
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZZZz
What is the answer?
If "if p , then q " is the conditional statement, then "if q , then p " is the converse.
True
False
Answer:A true
Got it right in the odyssey ware
Step-by-step explanation:
help answer this for me it will help i will give u extra points
Answer:
a. 3
Step-by-step explanation:
get 20% of 60= 12
and 25% of 60= 15
15-12=3
Answer:
Step-by-step explanation:
b
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
26.39
Step-by-step explanation:
It's a right triangle, so because of how trigonometric functions work:
[tex]\sin B = \frac{4}{9}\\B = \arcsin\frac{4}{9} \approx 26.3878^\circ[/tex]
There's really no better way than to input it into a calculator.
So the only thing left is to round to the nearest hundredth.
Answer:
I want to say it is 30 digresses
Step-by-step explanation:
I a awnsering that scence its a acute angle but I am still not completly sure but that is still my guess
As part of a survey, 150 students were asked if they eat breakfast on school days. Of these students, 45 stated they eat breakfast on school days What percentage of the students in the survey stated they eat breakfast on school days?
Answer:
30 students
Step-by-step explanation:
Total number of students = 150
Of these students, 45 stated they eat breakfast on school days.
We need to find the percentage of the students in the survey stated they eat breakfast on school days. It can be calculated as follows :
[tex]\%=\dfrac{45}{150}\times 100\\\\=30[/tex]
Hence, out of 150, 30 students stated they eat breakfast on school days.
In AHIJ, j = 1.9 inches, h = 3.4 inches and 41=161º. Find J, to the nearest 10th of an
degree.
Answer:
6.8
Step-by-step explanation:
Shown in delta
Ginger spent $24 at the fair, which was three times the amount she spent last year at the fair. How much money did Ginger spend last year at the fair?
Answer:
She spent 8 dollars.
Step-by-step explanation:
24 divided by 3 is 8
Megan has 2 red marbles, 5 blue marbles, and 8 yellow marbles. What is the ratio of red marbles to blue marbles in rational number form?
A.
5/2
B.
2/8
C.
2/5
D.
5/8
Answer:
A. 5/2
Step-by-step explanation:
There are 5 blue marbles and 2 red marbles. This means that the ratio is 5:2. 5/2 is another way to say 5:2 so option A is the correct answer.
If this answer has helped you, please mark it as the brainliest
Answer:
d
Step-by-step explanation:
Can someone please help?
in the triangle DEF, angle D measures 3x, angle E measures 6x+12, and angle F measures 5x. what is the value of x
Answer:
x = 12
Step-by-step explanation:
3x + 6x + 12 + 5x = 180
14x + 12 = 180
14x = 168
x = 12
Find the total surface area of the pyramid.
4 in.
6 in.
6 in.
Answer:
84 in²
Step-by-step explanation:
[tex]S_{A} = A_{L}+A_{base}[/tex]
[tex]S_{A}[/tex] = 4(1/2 * 6 * 4) in² + 6 in * 6 in
[tex]S_{A}[/tex] = 2(24) in² + 36 in²
[tex]S_{A}[/tex] = 48 in² + 36 in²
[tex]S_{A}\\[/tex] = 84 in²
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
2. What does y equal? *
y+3/4 = 6
Answer:
3rd option
Step-by-step explanation:
Given
y + [tex]\frac{3}{4}[/tex] = 6 ( multiply through by 4 to clear the fraction
4y + 3 = 24 ( subtract 3 from both sides )
4y = 21 ( divide both sides by 4 )
y = [tex]\frac{21}{4}[/tex] = 5 [tex]\frac{1}{4}[/tex]
What’s the answer for the last one
Answer:
its 14
Step-by-step explanation:
because each cookie is 10 and the 2 bananas are 2 so one banana is 1 and then the other thing whatever it is is 3 each so 10*1=10+1+3=14
hopefully this helps!
Which of the following correctly displays 3 u>-2s>
Answer: (d)
Step-by-step explanation:
According to the triangle law of vector addition, the two vectors acting on a body are represented by the two sides of a triangle taken in order then the third side gives the resultant of the two vectors taken in the opposite order.
Here, option (d) aligns well with the triangle law of vector addition. The third side is in opposite order w.r.t the two vectors represented by the two sides of triangle i.e. [tex]3\vec{u}-2\vec{s}[/tex]
Answer:
D
Step-by-step explanation:
edge
Convert 12 radians to degrees. Round your answer to the nearest tenth.
Answer:
687.5
Step-by-step explanation:
In how many ways
can 4 students, Sue,
Jan, Kim, and Pat come
in 1st
, 2nd, 3rd, and 4th
place?
Answer:
16
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
Which inequalities have the solution set graphed on the number line? Select two options. A number line going from negative 6 to positive 2. An open circle is at negative 4. Everything to the left of the line is shaded. x less-than negative 4 Negative 4 less-than x Negative 4 less-than-or-equal-to x Negative 4 greater-than x x greater-than negative 4
I Will Mark Brainliest
Answer:
bcd
Step-by-step explanation:
Find the number of degrees in each rotation shown below.
Answer:
5
Step-by-step explanation:
Andre bought pencils in packs of 8. He gave 2 pencils to his sister and 3 pencils from each pack to his friends. The expression 8p-3p-2 represents the number of pencils Andre has left from p packs. Simplify the expression by combining like terms.
what is the answer?
Answer:
27
Step-by-step explanation:
he was left with no pencils
on her first two quizzes Barbara averaged nine correct answers on the next 3 quizzes she averaged 10 correct answers what decimal number shows Barbara's average score on all five quizzes
HELP ASAP
Answer:
0.98
Step-by-step explanation:
Assuming the number of questions on all the tests is 10,
9+9+10+10+10 / 50
You get 50 by doing 5 quizzes x 10 questions per quiz.
48/50 = 0.98
convert 2.5 tons into pounds
Answer:
5000 pounds
Step-by-step explanation:
2.5 x 2000 pounds in a ton
5000 pounds
a cirle has circumference 23.2 cm. What is the area of the circle? use 3.14 for pi
Answer:
42.9 cm
Step-by-step explanation:
Area of a circle is A = pi r²
to get r (radius) from circumferance. r = C/ (2 pi)
pi = 3.14
SA = 2tr2 + 2trh
(Use 3.14 for 1.) 5 in.
30 in.
Find the surface area.
square inches
Do NOT round your answer.
Given:
Radius of the cylinder = 5 in
Height of the cylinder = 30 in.
To find:
The surface area of the cylinder.
Solution:
The surface area of the cylinder is:
[tex]SA=2\pi r^2+2\pi rh[/tex]
Where, r is the radius and h is the height of the cylinder.
Putting [tex]r=5,h=30,\pi=3.14[/tex] in the above formula, we get
[tex]SA=2(3.14)(5)^2+2(3.14)(5)(30)[/tex]
[tex]SA=2(3.14)(25)+942[/tex]
[tex]SA=157+942[/tex]
[tex]SA=1099 [/tex]
Therefore, the surface area of the cylinder is 1099 square inches.
I chose the first answer, was I correct?
Explain!
Answer: Yes, by SAS
Step-by-step explanation:
This is because, two sides are equal and one angle is equal.
And also there is one angle between 2 sides, so it’s SAS
Independent Practice
Find the GCF of the first two terms and the GCF of the last two terms for the polynomial.
2z3 + 12z2 – 5z – 30
A.
z2; –5
B.
2z; –5
C.
2z2; –5
D.
2z2; 5
Answer:
C.
2z2; –5
Step-by-step explanation:
Add and subtract the second term to the expression and factor by grouping.
( z + 6 ) ( 2 z 2 − 5 )
Answer:
2z^2; –5
Step-by-step explanation:
2z3 = 2 • z • z • z 12z2
= 2 • 2 • 3 • z • z
The GCF is 2z2.
–5z3 = –1 • 5 • z • z • z
–30 = –1 • 5 • 6
The GCF is –5.
Which group of numbers is ordered from least to greatest?
A. 4/5,−0.9,−3
B. −3,−0.9,4/5
C. −0.9,4/5,−3
D.4/5,−3,−0.9
Answer:
B. −3,−0.9,4/5
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
−3,−0.9,4/5
= -3, -0.9, 0.8.