Answer:
4(7 + 6)
Step-by-step explanation:
The GCF (greatest common factor) is the largest factor that both numbers share, and in this case it is 4.
28+24 as a product of 2 factors using the GCF and the distributive property is 4(7+6)
What is Number system?A number system is defined as a system of writing to express numbers.
We need to write 28 + 24 as a product of 2 factors using the GCF and the distributive property.
A factor is a number that divides another number, leaving no remainder
The greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.
We need to find factors 28 and 24
28=1,2,4,7,14,28
24=1,2,3,4,6,8,12,24
4 is the greatest common factor.
28 + 24
Take 4 as common
4(7+6)
Hence, 28+24 as a product of 2 factors using the GCF and the distributive property is 4(7+6)
To learn more on Number system click:
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Write an equivalent multiplication equation to / 1 / 4 / 2 =
PLEASE ANSWER I WILL MARK BRAINLIST
Answer:
8
Step-by-step explanation:
Which expressions are equivalent to 78 • 7? Select all that apply.
Answer:
B & C are the correct answers
[tex]b. \: \: \frac{7 {}^{18} }{7 {}^{9} } \\ c. \: \: (7 {}^{3} ) {}^{3} \\ e. \: \: 7 {}^{4} .7 {}^{5} \\ \\ correct \: answers[/tex]
Thank you ☺️☺️
A bus driver marries a dental assistant. What is their
combined income each week?
Helppppp please
Answer:
it should be 1571.19
Step-by-step explanation:
If you combine the you just need to add them using the amount under weekly 584+987.19= 1571.19 weekly
What is the solution of log (2 t 4) = log (14 minus 3 t)? –18 –2 2 10
The solution of [tex]\rm log(2t+4)=log(14-3t)[/tex] is t=2
It is given that:
[tex]\rm log(2t+4)=log(14-3t)[/tex]
It is required to find the value of 't'.
What is Logarithm?It is another way to represent the power of numbers ie.
[tex]a^b=c\\log_ac=b[/tex]
We have:
[tex]\rm log(2t+4)=log(14-3t)[/tex] [tex]\rm (Taking \ log_1_0 \ base \ and \ removing \ the \ log_1_0 \ from \ both \ the\ side)[/tex]
We will get:
[tex]\rm 2t+4=14-3t\\\rm 5t=10\\\rm t=2[/tex]
Therefore the solution of [tex]\rm log(2t+4)=log(14-3t)[/tex] is t=2
Learn more about the Logarithm here.
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How many solutions will this equation have? y = 2x^2 + 7x - 15
In the figure, m∠2 = (20x + 52)° and m∠7 = (40x – 48)°
For what value of x is line m parallel to line n?
18
5
44
3
Answer:
The answer is 5
Step-by-step explanation:
I took the test :)
Answer 5
Step-by-step explanation:
Find the length of segment XM
please HELP
Answer:
XM = 7
Step-by-step explanation:
M is the midpoint of XY , thus
XM = MY ( given XY is 7 ) , then
XM = 7
what is the slope of a line perpendicular to the line whose equation is x+y=-1
What is the solution for the equation
(10-5y|= 20
Answer:
y = -2
Step-by-step explanation:
To find the answer, use property of inequality:
10-5y=20
Undo the +10, so - 10 to the other side
so,
-5y= 10, or -5xY.
so divide by -5 from both sides:
10/-5=-2
so, the remain of the equation is:
y = -2
which is the answer
What is the top asnwer...............
A car comes to a stop, it slows from 25 m/s in 2. 8 sec. Find the acceleration of the car
Answer:
input the formula of acceleration and the the answer will be
8.928571429
F(x)=2x^2+16x-7 in vertex form
f(x) = 2 ( x² + 8x ) - 7
= 2 [(x + 4)² - 4²] - 7
= 2 (x + 4)² - 32 - 7
= 2 (x + 4)² - 39
(x+4)² = x² + 2*x*4 + 4² = x² + 8x + 4²
it's why
x² + 8x = (x + 4)² - 4²
Answer:
y=2(x+4)^2−39
Step-by-step explanation:
Based on my calculation that´s the answer :-)
Carter's baby formula cost $27.93 for 21 ounces. What is the unit rate per
ounce?
Answer:
$1.33
Step-by-step explanation:
27.93:21
Divide 27.93 by 21.
Devi’s dog weighs 4 times as much as her cat. Her dog also weighs 13 pounds more than the cat. How much does each pet weight?
Answer: The cat's weight is 4.33 pounds
• The dog's weight is 17.32 pounds.
Step-by-step explanation:
Let the weight of the cat be represented by a.
Devi’s dog weighs 4 times as much as her cat. This can be written as:
= 4 × a
= 4a
Her dog also weighs 13 pounds more than the cat. This can be written as:
= a + 13
We then equate both equations. This will be:
4a = a + 13
4a - a = 13
3a = 13
a = 13/3
a = 4.33 pounds
The cats weight is 4.33 pounds
Since the dog's weight = 4a = 4 × 4.33 = 17.32 pounds
Given: x ∥ y w is a transversal of x and y. Prove: ∠4 ≅ ∠5 Complete the two-column proof.
Answer:
A: vertical angles
B: corresponding angles theorem
C: transitive property
Step-by-step explanation:
Answer:
A: vertical angles
B: corresponding angles theorem
C: transitive property
Step-by-step explanation:
Find the measures of the complementary angles that satisfy each case.
The measure of the first angle is 40° less than the measure of the second.
Answer: x+(x+40)=90
PLS SHOW UR WORK. IF U ARE ABLE TO, DO A STATEMENT AND REASONING.
Given:
The measure of the first angle is 40° less than the measure of the second.
To find:
The measures of the complementary angles that satisfy the given condition.
Solution:
Let the measure of first angle be x°.
According to the given condition,
First angle = Second angle - 40°
[tex]x^\circ =\text{Second angle}-40^\circ [/tex]
Add 40° on both sides.
[tex](x+40)^\circ =\text{Second angle}[/tex]
We know that, sum of complementary angles is 90°. So,
First angle + Second angle = 90°
[tex]x^\circ +(x+40)^\circ =90^\circ [/tex]
[tex]2x^\circ +40^\circ =90^\circ [/tex]
[tex]2x^\circ =90^\circ -40^\circ [/tex]
[tex]2x^\circ =50^\circ [/tex]
Divide both sides by 2.
[tex]x^\circ =25^\circ [/tex]
So, the measure of first angle is 25°.
[tex](x+40)^\circ =(25+40)^\circ =65^\circ[/tex]
So, the measure of second angle is 65°.
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
6x + 4y = 8
Answer:
[tex]y=-\frac{3}{2}+2[/tex]
Step-by-step explanation:
First subtract 6 from both sides:
[tex]6x+4y=8[/tex]
-6 -6
New equation becomes:
[tex]4y-6=8[/tex]
Divide all by 4:
4 -6 8
--- --- ---
4 4 4
[tex]y=-\frac{3}{2}+2[/tex]
Hence, the final answer is [tex]y=-\frac{3}{2}+2[/tex]
Can someone help me 5-13 please?
Answer: see below
Step-by-step explanation:
#5 - 7: Domain are the x-values and Range are the y-values.
5) Coordinates are: (-2, 3), (0, 3), (2, 3), (4, 3)
Domain: x = {3} Range: y = {-2, 0, 2, 4}
6) All points on the curve between -4 and 2 (x-values) & 3 and 6 (y-values). Endpoints are included.
Domain: -4 ≤ x ≤ 2 Range: 3 ≤ y ≤ 6
7) All points on the curve between 2 and 7 (x-values) & 1 and 6 (y-values). Endpoints are not included.
Domain: 2 < x < 7 Range: 1 < y < 6
#8 - 11: Choose points for x. Plug them into the equation to solve for y.
To graph the equation, plot the points and connect the dots.
8) x y = x
-2 -2
-1 -1
0 0
1 1
2 2
9) x y = 2x+1
-2 2(-2)+1 = -3
-1 2(-1)+1 = -1
0 2(-0)+1 = 1
1 2(1)+1 = 3
2 2(2)+1 = 5
Note:
You are allowed a maximum of 3 questions. I answered 5 questions. If you need help with the rest of your homework, you will need to create another post.
What is the greatest common factor shared by 9 and 57
Answer:
es 3
Step-by-step explanation:
Para encontrar el mcd de 9 y 57:
Los factores de 9 son 9, 3, 1.
Los factores de 57 son 57, 19, 3, 1.
Los factores en común de 9 y 57 son 3, 1, los cuales intersectan los dos conjuntos arriba.
En la intersección de los factores de 9 ∩ factores de 57 el elemento mayor es 3.
Por lo tanto, el máximo común divisor de 9 y 57 es 3.
Answer:
3
Step-by-step explanation:
9's multiples are 1, 3, and 9. 57's multiples are 1, 3, 19, and 57. The greatest common factor is 3 since that is the highest factor they share.
FINALS!! PLEASE HELP!
determine the number of solutions for (8x-2)=6(4x-1)
Help me please (question and answers in picture)
Answer: d
Step-by-step explanation: l
Answer:
Ans B should be correct.
What are all the angles of rotational symmetry for a regular octagon?
Hint: An octagon has 8 sides.
options:
90°, 180°
60°, 120°, 180°, 240°, 300°
50°, 100°, 150°, 200°, 250°, 350°
45°, 90°, 135°, 180°, 225°, 270°, 315°
Answer:
45°, 90°, 135°, 180°, 225°, 270°, 315
Step-by-step explanation:
On a certain hot summer's day, 444 people used the public swimming pool. The daily prices are $1. 75 for children and $2. 50 for adults. The receipts for admission totaled $1065. 75. How many children and how many adults swam at the public pool that day
Answer:
the total receipt for admission is 1065.75? or just 1065? please tell me so I can help you T_T
how do I find the surface area and volume of any shape?
Answer:
Step-by-step explanation:For any shape it’s always true that for volume
V
the surface area is: =2‾‾‾√3
for some constant depending on the shape. So to work out the surface area from the volume we just need to know the value of for the shape in the question.
For a cube for example we have that =6, assuming consistent units i.e.: unit 2 for area and unit 3
3
for volume.
More generally if we have formula for both volume and surface area in terms of a particular one dimensional measurement
d
of the shape then we can always write these formula in the form:
=13
=12
for constants constants 1 and 1
. Then we have:
=1‾‾‾√3
=1(1)2‾‾‾‾‾‾√3
=121‾‾‾√32‾‾‾√3
and therefore:
=121‾‾‾√3
For example for a sphere we have that that =42 and =433 and therefore:
=4(43)2‾‾‾‾‾‾√3
=36‾‾‾‾√3
So if a particular sphere has volume =8 then we can calculate its surface area to be:
=36‾‾‾‾√382‾‾√3=436‾‾‾‾√3 m2
what is the area?
write your answer as a fraction or as a whole or mixed number
[tex] \underline \mathcal \pink{ GIVEN}[/tex]
Base = 2 9/10 kmHeight = 4 6/7 km[tex] \underline \mathcal \purple{ TO \: FIND}[/tex]
Area of the triangle[tex] \underline \mathcal \blue{CALCULATION}[/tex]
[tex] \qquad \tt \leadsto \: area = \frac{1}{2} \times base \times height[/tex]
[tex] \qquad \bf \nrightarrow \: area = \frac{1}{ \cancel2} \times \cancel2 \frac{9}{10} \times 4 \frac{6}{7} [/tex]
[tex] \qquad \bf \nrightarrow \: area = \frac{9}{ \cancel{10}} \times \cancel4 \frac{6}{7} [/tex]
[tex] \qquad \bf \nrightarrow \: area = \frac{9}{ 5} \times 2 \frac{6}{7} [/tex]
[tex] \qquad \bf \nrightarrow \: area = \frac{108}{ 35} \approx3.08 \: {km}^{2} [/tex]
Thus, The area of the triangle is 3.08 kilometers...~
In a class of 30 pupils, if 16 are males. Calculate the ratio of females : total
Dan invests £13000 into his bank account. He receives 4,7% per year simple interest. How much will Dan have after 6 years? Give your answer to the nearest penny where appropriate,
Simple interest formula:
Total = start value x (1 + (rate x time))
Total = 13,000 x (1 + (0.047 x 6))
Total = 13000 x 1.282
Total = £16,666
Nicholas wrote the steps below to
simplify the fraction _
20
30. Melanie divided the numerator and
denominator of _
20
30 by 2 to write the fraction in the simplest form.
Explain and correct the error that each student made.
Answer:
He does not divide the numerator and the denominator by the same number. Nicholas divides 20 by 5 and 30 by 6. He ought to have divided 30 by 5 as well and then simplified.
P.S. Nicholas should have just divided both 20 and 30 by 10 to simplify in one step
$43 dinner ; 18% gratuity
Need help finding the slope and how to graph it.
Answer:
The slope is 2/3
Step-by-step explanation:
you need to use the equation y=rise over run, so the equation would be 2-4 over -2-1 and that would equal 2/3 and to graph you just need to find the y-intercept and put it together with the slope y=2/3+b