Express the verbal expression as an algebraic expression. Four less than eight times the sum of a number and seven.

Answer:

[tex]c.\hspace{3}x=12[/tex]

Step-by-step explanation:

Isosceles triangles are a type of triangles in which two of their sides have an identical length. It should be noted that the angles opposite the sides that are the same length are also the same. This means that these triangles not only have two equal sides, but also two equal angles.

You can solve this problem using different methods, I will use pythagorean theorem. First take a look at the picture I attached.  As you can see:

[tex]x=2a[/tex]

And we can find a easily using pythagorean theorem:

[tex](\sqrt{45} )^{2} =3^{2} +a^{2}[/tex]

Solving for a:

[tex]a^{2} =(\sqrt{45} )^{2} -3^{2} \\\\a^{2} =45-9\\\\[/tex]

[tex]a^{2} =36\\\\a=\sqrt{36} \\\\a=6[/tex]

Therefore:

[tex]x=2a\\\\x=2(6)\\\\x=12[/tex]

Answer:

680

Step-by-step explanation:

Given that:

All the pupils at a primary school come from one of three villages: Elmswell, Haughley or Woolpit.

[tex]\frac{1}{4}[/tex] of the pupils come from Elmswell

[tex]\frac{3}{5}[/tex] of the pupils come from Haughley

102 pupils come from Woolpit.

To find:

Total number of pupils in the school.

Solution:

Let total number of pupils = [tex]100x[/tex]

So, number of pupils that come from Elmswell = [tex]\frac{1}{4}[/tex] of 100x

OR

[tex]\dfrac{1}{4} \times 100x\\\Rightarrow 25x[/tex]

And, number of pupils that come from Haughley= [tex]\frac{3}{5}[/tex] of 100x

OR

[tex]\dfrac{3}{5} \times 100x\\\Rightarrow 60x[/tex]

Number of pupils that come from Woolpit = [tex]100x - 25x - 60x \Rightarrow 15x[/tex]

As per given statement:

[tex]15x = 102\\\Rightarrow x =6.8[/tex]

Number of pupils from Elmswell = 25x = 25 [tex]\times[/tex] 6.8 = 170

Number of pupils from Haughley = 60x = 60 [tex]\times[/tex] 6.8 = 408

Total number of pupils at the school = [tex]100x \Rightarrow 100 \times 6.8=680[/tex]

Answer:

First Question

1.99+1.50=3,49

3.49 x 2=6.98

6.98+1.40=8.38

20-8.38=$11.62

Second Question

22.50 x 2=45

45+35.50+7.18=87.68

87.68/2=43.84

Step-by-step explanation:

D: happy to help

Answer:

2x + y = - 5

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 2 and (a, b) = (- 1, - 3 ) , thus

y - (- 3) = - 2(x - (- 1)), that is

y + 3 = - 2(x + 1) ← distribute

y + 3 = - 2x - 2 ( add 2x to both sides )

2x + y + 3 = - 2 ( subtract 3 from both sides )

2x + y = - 5

Answer:

x^2 - 3x + 9/4 = 5 + 9/4.

Step-by-step explanation:

To find what to add to both sides to make the equation a square, you need to do (b / 2)^2.

In this case, b = -3.

(-3 / 2)^2

= 9 / 4.

x^2 - 3x - 5 = 0

x^2 - 3x = 5

x^2 - 3x + 9/4 = 5 + 9/4.

Hope this helps!

Answer:

0.60

Step-by-step explanation:

Probability that the customer is not a poor risk = 1 - probability that the customer is a poor risk

Firstly, let’s calculate the probability of being a poor risk.

From the given data the number of poor risks = 14229-7362-1190 = 5677

So the probability of being a poor risk = 5677/14229 = 0.399

Thus, the probability that the customer is not a poor risk = 1-0.399 = 0.601 which to 2 decimal places = 0.60

Answer:

D.

Step-by-step explanation:

After the third step, take the square root of both sides.

Third Step:

[tex](x+\frac{b}{2a})^2=\frac{b^2-4ac}{4a^2}[/tex]

Thus, the fourth step is:

[tex]\sqrt{(x+\frac{b}{2a})^2}=\sqrt{ \frac{b^2-4ac}{4a^2}} }[/tex]

The left side cancels:

[tex](x+\frac{b}{2a})=\pm\sqrt{ \frac{b^2-4ac}{4a^2}} }[/tex]

D.

Answer:

x + [tex]\frac{b}{2a}[/tex] = ±[tex]\sqrt \frac{b^{2} - 4ac }{4a^{2} }[/tex]     aka choice D

Step-by-step explanation:

Answer:

x^32

Step-by-step explanation:

Multiply the exponent 4 by the exponent 8:

(x^4)^8 = x^32

Answer:

B. f(x) = 1 - x²

Step-by-step explanation:

Since we are dealing with only vertical movement, all we change is the constant. Since the red graph is up one from the reflected parent graph, we know our graph is f(x) = -x² + 1 or f(x) = 1 - x².

Answer:

B. F(x) = 1 - x^2

Step-by-step explanation:

The red graph is the blue graph translated 3 units down. It has a vertical translation of -3 units.

F(x) = G(x) - 3

F(x) = 4 - x^2 - 3

F(x) = 1 - x^2

Answer:

Hey there!

Here's the first question.

Let l be the length, and w be the width.

Thus, we have 5w=l+4, or 5w-4=l.

The perimeter is 76, so 2l+2w=76.

We see that l=5w-4, so substitute 5w-4 for l.

2(5w-4)+2w=76

10w-8+2w=76

12w-8=76

12w=84

w=7

Thus, the length is 5(7)-4, or 31.

Option C is correct.

Here is the second question)

Let x be the larger angle and y be the smaller angle.

Supplementary angles add to 180 degrees.

x+y=180

x=3y

Similar to the first problem change all the x's into 3y's

3y+y=180

4y=180

y=45

x=135

So the two angles are 45 and 135 and they add to 180 degrees (Choice D)

Hope this helps :)

-3 <= x <= 9 would be the inequality

Answer:

[tex]\boxed{-3 \leq x \leq 9}[/tex]

Step-by-step explanation:

x is at least -3

So,

=> x ≥ -3

For, x at most 9, It is

=> x ≤ 9

Combining the inequality

-3 ≤ x ≤ 9

Answer:

Equation 2: [tex]y=-x^2-2[/tex]

The strategy i used to make this equation is to make graph the parent equation and see what changes are to be made in order to get the needed answer.

Step-by-step explanation:

Well a normal parent parabola function is [tex]y=x^2[/tex].

And the parabloa it makes opens up so to make it open down we make it negative to [tex]y=-x^2[/tex]. And to make a negative y intercept we make the y intercept -2.

So the equation is [tex]y=-x^2-2[/tex].

Answer:

0.875 or 87.5%

Step-by-step explanation:

For each child, there is an equal 1 in 2 probability of having a girl or a boy.

The probability of having at least one girl out of three children includes the probability of having 1, 2 or 3 girls. It can also be written as 100% minus the probability of having all boys, therefore:

[tex]P(G\geq 1)=1-P(B=3)\\P(G\geq 1)=1-(\frac{1}{2}*\frac{1}{2}*\frac{1}{2})\\ P(G\geq 1)=0.875[/tex]

The probability of having at least one girl is 0.875 or 87.5%.

Answer: You can see if the graphs of the two populations meet at a given point.

Step-by-step explanation:

If we have a graph of population vs time

such that y = population and x = time, two different populations will be exactly the same for a given time if we have an intersection of the two graphs. The value (x0, y0) where the graphs cross is the time = x0 and the population y0, this means that both populations have y0 individuals at the same time.

Answer:

The answer would be M = 6.5n because 6.50 per child would be 6.50 * n which can be simplified to 6.50n or 6.5n.

Answer:

correct answer is above :>

Step-by-step explanation:

Answer:

The value of c is 2

Step-by-step explanation:

p(x) = cx³ - 15x - 68

Since it's divisible by ( x - 4) that means when the value of ( x - 4) is substituted into the polynomial it leaves a remainder of zero that's no remainder.

x - 4 = 0

x = 4

Substitute it into the above expression

That's

c(4)³ - 15(4) - 68 = 0

64c - 60 - 68 = 0

64c = 60 + 68

64c = 128

Divide both sides by 64

c = 2

Hope this helps you

Answer:

h

Step-by-step explanation:

b

Answer:

3 and 5/12

Step-by-step explanation:

To find how much flour you need, subtract how much sugar you need from how much total you need of sugar and flower. To do this, turn both numbers into improper fractions. This means 3 and 2/3 turns into 11/3 as there are 3 thirds per whole, and there are three wholes plus the 2 thirds, equaling 11/3. The 1/4 is already an improper fraction, so you can move on.

Now you just covert them to have the same denominator by multiply 11/3 by 4 on top and bottom and 1/4 by 3 on both the top and bottom to get 44/12 and 3/12. Now you just subtract 44/12-3/12 and get 41/12. Made into a mixed number that is 3 and 5/12.

The recipe will require three and five-twelfths (3 5/12) fraction cups of flour.

A fraction is a portion of a whole or, more broadly, any number of equal pieces.

It is written in the form p/q, read as "p by q", where p is called the numerator and q is called the denominator, and the fraction p/q represents p number of equal parts from q number of equal parts.

Fractions are of two types:

In the question, we are informed that a recipe calls for a total of 3 and two-thirds cups of flour and sugar.

We are asked if the recipe calls for One-fourth cup of sugar, then how much flour is needed.

We suppose the quantity of flour required to be x cups.

We know the quantity of sugar required = One-fourth cup.

This can be written as a fraction = 1/4 cup.

We know the total sugar and flour is three and two-thirds cups.

This can be written as a fraction = 3 2/3 cup = 11/3 cup.

Now, we know quantity of sugar + quantity of flour = total quantity

or, 1/4 + x = 11/3

or, x = 11/3 - 1/4 = (44 - 3)/12 = 41/12 = 3 5/12.

Therefore, the recipe will require three and five-twelfths (3 5/12) fraction cups of flour.

Learn more about fractions at

https://brainly.com/question/11562149

#SPJ2

Answer:

i believe the answer would be 50

Step-by-step explanation:

to find the mean you add all of the numbers together and divide it by the amount of numbers given.

For example, in this problem, you would add:

58+ 76+ 40+ 35+ 46+ 45+ 0+ 100

which would equal 400

then you you divide 400 by 8 because there are 8 numbers and it gives you the answer of 50

(hope this helped <33)

Answer:

Step-by-step explanation:

[tex]\dfrac{58+76+40+35+46+45+0+100}{8}=\dfrac{400}8=50[/tex]

Answer:

a)~5572.45 (cm^3)

b)~1519.76 (cm^2)

Step-by-step explanation:

A volleyball has a diameter d = 22 cm

=> Its radius r is r = d/2 = 22/2 = 11 cm

a) Its volume is calculated by:

V = (4/3) x pi x r^3

with p = ~3.14 and r = 11 cm

=> V = (4/3) x 3.14 x 11^3 = ~5572.45 (cm^3)

b) Its surface area is calculated by:

A = 4 x pi x r^2

with p = ~3.14 and r = 11 cm

=> A = 4 x 3.14 x 11^2 = ~1519.76 (cm^2)

Answer:

[tex]1.78[/tex]

Step-by-step explanation:

32^(1/6) can be written as the 6th root of 32.

[tex]\sqrt[6]{32}[/tex]

[tex]=1.781797...[/tex]

Answer:

Step-by-step explanation:

2:3 is the correct answer

I hope this helps you

Answer: Translation

Step-by-step explanation:

The shape its self has only shifted to the right. It hasn't been rotated or reflected.

Answer:

Translation

Step-by-step explanation:

defintion of translation: the process of moving something from one place to another.

The shpae is being moved to the right as shown by the arrow.

Answer:

C. Move left

Step-by-step explanation:

By default, the equation of the parabola starts at (0,0) and you can see it clearly translates itself to the left by -3 units on the x-axis.

Answer:

x

Step-by-step explanation:

-2x²(x – 5) + x(2x² – 10x) + x

The simplest for of the above equation can be obtained as follow:

-2x²(x – 5) + x(2x² – 10x) + x

Rearrange

x(2x² – 10x) – 2x²(x – 5) + x

Factorise

x.2x(x – 5) – 2x²(x – 5) + x

2x²(x – 5) – 2x²(x – 5) + x

Carry out the minus (–) operation

=> x

Therefore, the simplest form of expressing -2x2(x – 5) + x(2x2 – 10x) + x is x.

Answer:

The answer is C

I turned it in and it was correct

Step-by-step explanation:

Please mark brainliest

Answer:

c

Step-by-step explanation:

Answer: The source has the potential to create bias because it was sponsored by companies that will benefit from it. This might have been avoided by stoping these companies from sponsoring the study.

Explanation:

A study is biased if its results or process is not objective, which means they have been influenced by a specific perspective or interest, and the results are inaccurate. One of the factors that causes bias is the participation of entities with economic interests in the study.

This occurs in the case described because a candy and a chocolate company sponsored the studies, and therefore results might be modified to benefit the companies. According to this, the study has the potential of being biased, and the main source is the fact it was sponsored by companies with interests.

Besides this, this can be avoided if the study does not accept sponsoring by companies with specific interests. In this way, the study will be objective, and the results will not be influenced, which means the information provided by the study would be accurate and credible.

Answer:

31°

Step-by-step explanation:

Answer:

x=31

Step-by-step explanation:

The smaller triangle with the marked angle is basically a dilated version of the larger triangle. Basically it's just a shrunken version of the large one but you preserve/keep the angles. X=31, Y=62 and Z=14

Answer:

120 words

Step-by-step explanation:

There are only three possible letters, assuming words can be 1, 2, 3 or 4 letters long:

The number of 1 letter words is 3

The number of 2 letter words is 3² = 9

The number of 3 letter words is 3³ = 27

The number of 4 letter words is 3⁴ = 81

The total number of possible words is:

[tex]3+9+27+81 = 120\ words[/tex]

This tribe's language has 120 words.

Answer:

Step-by-step explanation:

[tex]5x - 1 = 6x - 9[/tex]

Move variable to L.H.S and change its sign:

[tex]5x - 6x - 1 = - 9[/tex]

Move constant to RHS and change its sign:

[tex]5x - 6x = - 9 + 1[/tex]

Combine like terms and simplify:

[tex] - x = - 8 \\ x = 8[/tex]

Hope this helps....

Good luck on your assignment...

Answer:

A. [tex]x = cos^{-1}(\frac{8.8}{11})[/tex]

Step-by-step explanation:

The question lacks the required diagram. Find the diagram to the question attached below.

The triangle in question is a right angled triangle with side KJ as hypotenuse, KL as the opposite (side facing the angle x) and JL is the adjacent. To find the equation needed to calculate the angle x, we will use the SOH, CAH, TOA trigonometry identity.

According to CAH, cos (x) = adjacent/hypotenuse

cos(x) = JL/KJ

Given JL = 8.8 and JL = 11

cos (x) = 8.8/11

[tex]x = cos^{-1}(\frac{8.8}{11})[/tex]

Hence the equation [tex]x = cos^{-1}(\frac{8.8}{11})[/tex] can be used to find m∠J

Answer:

A

Step-by-step explanation:

just did it on edge