Answers
Answer:
One equation you could use is 6(7 + 5) + 3.
Answer:
[tex]((3 * 7) - 6) * 5[/tex]
Step-by-step explanation:
For this problem, we will use trial and error.
It will take a while, but we can reduce the amount of guesses we have to make.
Looking at the problem, it is obvious that we will require multiplication at some point, as adding all the numbers together is nowhere near 75.
Let's start this problem by finding the prime factors of 75:
75 = [tex]25 * 3[/tex]
75 = [tex]5 * 5 * 3[/tex]
The prime factors of 75 are: [tex]5 * 5 * 3[/tex].
Our numbers are 7, 5, 6, and 3.
We already have a 5 and a 3, so we need to use 7 and 6 to get 5, and that's impossible, so this is a pass.
Next, we'll look at another factor, [tex]25 * 3[/tex].
We already have a 3, so we can ignore that. We need to use 7, 6, and 5 to get 25.
Here are some of the results:
[tex](5 * 6) - 7 = 23[/tex] (Nope)
[tex](7 * 5) - 6 = 29[/tex] (Nope)
[tex]6 + 5 + 7 = 18[/tex] (Nope)
There's more combinations, but the numbers are either too large or too small. This is a pass too.
Now, we'll try another factor, [tex]15 * 5[/tex].
We already have a 5, so let's ignore it and use 7, 6, and 3 to get 15.
[tex]7 + 6 + 3 = 16[/tex] (Nope)
[tex](6 * 3) - 7 = 11[/tex] (Nope)
[tex](3 * 7) - 6 = 15[/tex] (Yep)
So our expression to make 15 is [tex](3 * 7) - 6[/tex]. Then we multiply the whole thing by 5. Thus our expression is:
[tex]((3 * 7) - 6) * 5[/tex]
Let's check our answer:
[tex]((3 * 7) - 6) * 5[/tex]
[tex](21 - 6) * 5[/tex]
[tex]15 * 5[/tex]
[tex]75[/tex]
The expression gives us 75, which is what we want, so our answer is correct.
Related Questions
Solve. 1/2(4x + 2/5) = 4/5
Answers
Answer:
[tex]\frac{1}{2}(4x + \frac{2}{5} ) = \frac{4}{5}\\2x + \frac{1}{5} = \frac{4}{5}\\\frac{10x + 1}{5} = \frac{4}{5}\\10x + 1= 4\\10x = 3\\x = \frac{3}{10}[/tex]
Answer:
x = 3/10
Step-by-step explanation:
Given equation,
→ 1/2(4x + 2/5) = 4/5
Let's solve the problem,
→ 1/2(4x + 2/5) = 4/5
→ 2x + (1/5) = 4/5
→ 2x = (4/5) - (1/5)
→ x = (3/5) × (1/2)
→ [ x = 3/10 ]
Thus, the value is 3/10.
54 as a fraction of ____ is equivalent to 9/10
Answers
Answer:
54 as a fraction of 60 is equivalent to 9/10
Step-by-step explanation:
54/x = 9/10
54 * 10 = x * 9
6*9 * 10 = x * 9
6 * 10 = x
x = 60
PLEASE HELP I NEED IT TO PASS THIS CLASS
Answers
Answer:
∠ 1 = 99°, ∠ 2 = 81°, ∠ 4 = 81°
Step-by-step explanation:
∠ 1 and ∠ 3 are vertical angles and are congruent, then
∠ 1 = 99°
∠ 1 and ∠ 2 are adjacent angles and sum to 180° , so
∠ 2 = 180° - 99° = 81°
∠ 2 and ∠ 4 are vertical angles and are congruent, so
∠ 4 = 81°
Determine if the following triangles are right triangles. Prove your answers using the
Pythagorean Theorem.
12 ft
7 ft
10 ft
Please help
Answers
Answer:
not a right triangle
Step-by-step explanation:
Using the converse of Pythagoras' identity
If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.
longest side = 12 and 12² = 144
7² + 10² = 49 + 100 = 149 ≠ 144
Then triangle is not right
What is the value of cose in the diagram below?
a)3/5
b)3/4
c)4/5
d)4/3
Answers
Circle O has a arc length 34 inches sub tended by an angle of 78 degrees. Find the length of the radius, x, to the nearest tenth of an inch
Answers
Answer: 25 in.
Step-by-step explanation:
Given
Arc length is 34 inches
The angle subtended by the arc is [tex]78^{\circ}[/tex]
arc length l subtending an angle [tex]\theta[/tex] is given by
[tex]\Rightarrow l=\dfrac{\theta }{360^{\circ}}\times 2\pi R[/tex]
Put the values
[tex]\Rightarrow 34=\dfrac{78^{\circ}}{360^{\circ}}\times 2\pi R\\\\\Rightarrow R=24.97\approx 25\ in.[/tex]
1. Find the area of each circle. Use 3.14 for A. Round to the nearest tenth.
5cm
RE
Answers
Answer:
78.5 cm²Step-by-step explanation:
Area of circle:
A = πr²A = 3.14*5² = 78.5 cm²210 is what percent of 500?
Answers
Answer:
42
hope this answer helps you!
Explanation:
Step 1: We make the assumption that 500 is 100% since it is our output value.
Step 2: We next represent the value we seek with X.
Step 3: From step 1, it follows that 100%= 500.
Step 4: In the same vein, X%= 210.
Step 5: This gives us a pair of simple equations:
100%= 500(1)
X%=210(2)
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
100%/X%= 500/210
Step 7: Taking the inverse (or reciprocal) of sides yields
X%/100= 210/500
X= 42%
Eric knows that 5 out of every 75 children in his school have red hair. There are 525 children in Eric's school. How many children in Eric's school have red hair?
Answers
Answer:
35
Step-by-step explanation:
525/75=7x5=35
The ratio remains constant, then the number of children in Eric's school who has red hair in color will be 35.
What are ratio and proportion?A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.
Eric knows that 5 out of every 75 children in his school have red hair. There are 525 children in Eric's school.
Then the number of the children in Eric's school who has red hair will be
Let x be the number of the children. Then we have
[tex]\rm \dfrac{x}{525} = \dfrac{5}{75}\\\\x \ \ \ = \dfrac{525 \times 5}{75}\\\\x \ \ \ = 35[/tex]
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
18. Is this figure a polygon? Explain.
Answers
Answer:
no
Step-by-step explanation:
A polygon is a flat, two-dimensional shape with straight sides that is fully closed.The sides must be straight. Polygons may have any number of sides. A shape with curved sides is not a polygon.
Which is an example of a statistical question?
Questions
Question 1 How many pets does Alisha have at home?
Question 2 How old were you when you got your first pet?
Question 3 Do you like having a pet?
Question 4 What is Alisha’s pet’s name?
A question 1
B question 2
C question 3
D question 4
Answers
Answer:
Question 2
Step-by-step explanation:
divdtihcdyuvftujvfujvfubf
Answer:
2
Step-by-step explanation:
pls help me answer this question
Answers
Answer:
c
Step-by-step explanation:
10*10=100
100-78.54=21.46
so rounded answer is c or 21.5
goodluck on your test
Answer: Hello Luv......
C. 21.5
Step-by-step explanation:
Hope this helps.
Mark me brainest please.
Anna ♥
In the isosceles trapezoid below,
x = [? ]°
5x-20°
2x+37°
Answers
Answer:
x = 19
Step-by-step explanation:
The lower base angles in an isosceles trapezoid are congruent , then
5x - 20 = 2x + 37 ( subtract 2x from both sides )
3x - 20 = 37 ( add 20 to both sides )
3x = 57 ( divide both sides by 3 )
x = 19
2. The dimensions of a rectangle are its length and width. For example, the enclosure for 2 monkeys is 36 square feet and could have five different dimensions: , , , , and . The enclosure that holds 6 monkeys has 6 possible sets of dimensions. List all six sets of dimensions for six monkeys.
Answers
Answer:1
Which of the following functions has a line of symmetry of x = 2?
Step-by-step explanation:
The slope of the line that passes through the points (-24, m) and (12,11) is 1/12. What is the value of m?
NO LINK
Answers
Answer:
Find the Slope = y2 - y1 / x2 - x1
= 6 - 2 / 12 - -4
= 4/16
= 1/4 This is the slope, m.
2) Now, plug m and one point into: y - y1 = m (x - x1)
y - 6 = 1/4 (x - 12) Distribute the 1/4
y - 6 = 1/4 * x - 3 Solve for y
y = 1/4*x - 3 + 6
y = 1/4*x + 3
Step-by-step explanation:
brainliest please?
The value of m for a line that passes through (-24, m) and (12,11) and have a slope of 1 / 12 is 8.
What ia a slope?The slope of a line is a measure of its steepness. The slope is rise divided by the run.
Therefore,
(-24, m)(12, 11)
slope = m = 1 / 12
slope = y₂ - y₁ / x₂ - x₁
Therefore,
x₁ = -24
x₂ = 12
y₁ = m
y₂ = 11
1 / 12 = 11 - m / 12 + 24
1 / 12 = 11 - m / 36
cross multiply
36 = 12(11 - m)
36 = 132 - 12m
36 - 132 = -12m
-96 = -12m
m = 96 / 12
m = 8
learn more on slope here:https://brainly.com/question/13929101
Find the base area of a square pyramid
whose base has a side length of 12cm.
A) 148 B) 144
C) 143
D) 140
Answers
Answer:
B) 144 cm^2
Step-by-step explanation:
Factorise x^2-3x
plz help me
Answers
x^2 - 3x = x ( x - 3 )
ʜᴏᴘᴇ ʏᴏᴜ ɢᴇᴛ ᴡᴇʟʟ
o Explain "set"
2 list the tyres Or Set
3 What is a Circle?
a List the properties of a Circle
Сл
Answers
Answer:
3) A circle Is a locus of a moving point which moves from equal distance in q fixed path.
y is an integer.
Write down all the solutions of the inequality. -8 < 2y < 0
Answers
Answer:
y = - 3, - 2, - 1
Step-by-step explanation:
Given
- 8 < 2y < 0 ( divide each interval by 2 )
- 4 < y < 0
Then y can equal - 3, - 2, - 1
A company charges a shipping fee that is 4.5% of the purchase price for all items it ships. What is the fee to ship an item that costs $70? Round to the nearest cent (hundredths place).
Answers
Answer:
3.15 cents
Step-by-step explanation:
So, lets go over all the information we know.
First off, we know that the cost of the item is 70 dollars.
Secondly, we know that the fee is 4.5% of 70 dollars.
Now, what is 4.5%?
Well, we know that 100% is qual to 1.
So lets divide 4.5 by 100, which is just moving the decimal point back by 2:
0.045
Now, the last thing to do is multiply 0.045 by 70.
0.045x70
=
3.15
So now we know the fee for a 70 dollar item is 3.15 dollars!
Hope this helps ;)
What two numbers multiply together to equal 15 and add together to equal 8?
Answers
Answer:
5 and 3
Step-by-step explanation:
please mark me brainlist
What is the volume of the triangular prism shown below?
8 cm
3 cm
13 cm
A 143 cm
B 312 cm
C 156 cm
D
Not here
Answers
Answer:
156 cm
Step-by-step explanation:
−4x−6=−5y+2
Write a formula for g(x), in terms of x.
Please
Answers
What is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation?
5x^2-57x=3x-120
Answers
Answer:
x=6+2√3 or x=6−2√3
Step-by-step explanation:
Let's solve your equation step-by-step by using completing the square.
5x^2−57x=3x−120
Step 1: Subtract 3x from both sides.
5x^2−57x−3x=3x−120−3x
5x^2−60x=−120
Step 2: Since the coefficient of 5x^2 is 5, divide both sides by 5.
5x2−60x/5 = −120 /5
x2−12x=−24
Step 3: The coefficient of -12x is -12. Let b=-12.
Then we need to add (b/2)^2=36 to both sides to complete the square.
Add 36 to both sides.
x2−12x+36=−24+36
x2−12x+36=12
Step 4: Factor left side.
(x−6)2=12
Step 5: Take square root.
x−6=±√12
Step 6: Add 6 to both sides.
x−6+6=6±√12
x=6±√12
x=6+2√3 or x=6−2√3
\greenD{4\,\text{cm} \times 6\,\text{cm}}4cm×6cmstart color #1fab54, 4, start text, c, m, end text, times, 6, start text, c, m, end text, end color #1fab54 rectangle sits inside a circle with radius of \blueD{11\,\text{cm}}11cmstart color #11accd, 11, start text, c, m, end text, end color #11accd.
What is the area of the shaded region
Answers
Answer:
Area of the rectangle: 24 cm²
Area of the circle: 380.13 cm²
Area of between the circle and the rectangle: 356.13 cm²
Step-by-step explanation:
Answer:
397.39
Step-by-step explanation:
2+2=4 got it right took the test.
Answers
Answer:
Good for you
Step-by-step explanation:
PLEASE HELP ASAP WILL MARK BRAINLIEST
Answers
Answer:
1) .11111
2) 5/9
3) 122/495
4) rational- .167167, 2/9
irrational- π, [tex]\sqrt{225}[/tex]
5) 5.75
NO LINKS plz help
The hypotenuse of a right triangle measures 16 cm and one of its legs measures 7 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answers
Answer:
14.4
Step-by-step explanation:
16^2 - 7^2 = root of 207
U + 3 = 7 step by step explanation
Answers
-3 -3
(7-3=4)
U=4
3-3=0
take it to the other side and 7-3=4
What is the answer to this problem
Answers
Answer:
791.68
Step-by-step explanation:
have a nice day! :)