Estimate the quotient using compatible numbers.

627 ÷ 8 = _____

A 600
B 80
C 700
D 90

Answer:

10

Step-by-step explanation:

39.8/4=9.95, rounds to 10

Answer:

multiply 6:8 by 2

12:16

Answer: -0.6, -1/4 (-0.25), -0.15

Step-by-step explanation: the farther away from 0, going left, the smaller the number.

Answer:

-22

Step-by-step explanation:

x-3y

(-4)-3(-6)

(-4)-(-18)

(-22)

Answer:

the number is 6

Step-by-step explanation:

14-8=6

good luck!

Answer:

20% of 250 is 50

Answer:

$27

Step-by-step explanation:

Answer:

The supplier is less accurate than they have claimed

Step-by-step explanation:

Given that:

95% confidence interval of supplier's claim :

(20.45, 21.05)

Mean = (20.45 + 21.05) /2 = 41.5 / 2 = 20.75

Error margin = (upper bound - mean) = 21.05 - 20.75 = 0.30

95% confidence interval of your sample :

(20.48, 21.02)

Mean : (20.48 + 21.02) /2 = 41.05 / 2 = 20.75

Error margin = (upper bound - mean) = 21.02 - 20.75 = 0.27

0.3 > 0.27

From the calculations made, the mean are the same, but the error margin of supplier is higher, thus it could be concluded that the supplier is less accurate than they have claimed

Answer:

Draw a dashed line to represent the graph of 5x + 10y = 1500 and shade the portion below the line for positive values of x and y.

Step-by-step explanation:

This is the answer I can confirm that this is true rather than,"WhAt TyPe Of MaThEmAtIcS iS tHis?"

Answer:

-4/9 or -0.4

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

[tex]-7+(\frac{63}{9})=-7+7=0[/tex]

2.5 inches steel wire

We can use an equation to find the answer. 750/300 = 2.5

Answer:

2.5 inches of steel wire are needed to make one spring.

Step-by-step explanation:

In order to answer this, we can set up a proportion (setting two fractions equal to each other) to solve for how many inches of steel wire are needed to make one spring.

We are given a ratio: 750 inches of steel wire are required to make 300 springs. Therefore, this is represented as:

[tex]\bullet \ \ \ \text{750 inches of steel wire : 300 springs}[/tex]

This can be rewritten in fraction form:

[tex]\displaystyle \bullet \ \ \ \frac{\text{750 inches of steel wire}}{\text{300 springs}}[/tex]

Therefore, we have our first proportion.

We want to make one spring, so we need to find how much steel is required to make one spring. Therefore, for our second fraction, the inches of steel wire is unknown. We can define this as x.

[tex]\bullet \ \ \ \text{x inches of steel wire}[/tex]

Finally, our ratio can be written in the same manner as the previous ratio:

[tex]\bullet \ \ \ \text{x inches of steel wire : 1 spring}[/tex]

This can be rewritten in fraction form:

[tex]\displaystyle \bullet \ \ \ \frac{\text{x inches of steel wire}}{\text{1 spring}}[/tex]

Now, we need to set up our proportion. We do this by setting our two ratios equal to each other.

[tex]\displaystyle \bullet \ \ \ \frac{\text{750 inches of steel wire}}{\text{300 springs}} = \frac{\text{x inches of steel wire}}{\text{1 spring}}[/tex]

To solve a proportion, we need to cross multiply. We can flip our fractions and solve for the reciprocal since there is not really a way to represent cross-multiplication.

[tex]\displaystyle \bullet \ \ \ \frac{\text{750 inches of steel wire}}{\text{300 springs}} = \frac{\text{1 spring}}{\text{x inches of steel}}[/tex]

First, we can drop our labels/units.

[tex]\displaystyle \bullet \ \ \ \frac{750}{300} = \frac{1}{\text{x}}[/tex]

Then, we can multiply across.

[tex]\displaystyle \bullet \ \ \ 750 = 300x[/tex]

Finally, we can solve for x.

[tex]\displaystyle 750 = 300x\\\\\frac{750}{300}=\frac{300x}{300}\\\\2.5 = x\\\\x = 2.5[/tex]

Therefore, to make one spring, exactly 2.5 inches of steel wire are needed.

Answer:

-25 < -19 < -12 < 8 < 12 < 18 < 23

Step-by-step explanation:

Sorry if im wrong

Answer:

ok

Step-by-step explanation:

Answer:

D and it does help

Step-by-step explanation:

brainliest please

Answer:

x=2, y=1

Step-by-step explanation:

since they are both congruent, the corresponding sides are also congruent

Thus:

2x+1=x+3

x+y=3x-3y

First, solve 2x+1=x+3

[tex]2x+1=x+3[/tex]

Subtract both sides by x

[tex]2x-x+1=x-x+3\\[/tex]

[tex]x+1=x+3[/tex]

Subtract both sides by 1

[tex]x+1-1=x+3-1[/tex]

[tex]x=2[/tex]

Thus x=2

Next, solve for x+y=3x-3y

[tex]x+y=3x-3y[/tex]

Substitute x with 2 (from the first part)

[tex]2+y=3(2)-3y[/tex]

[tex]2+y-y=6-3y-y[/tex]

[tex]2=6-4y[/tex]

[tex]2-6=6-4y-6[/tex]

[tex]\frac{-4=-4y}{-4}[/tex]

[tex]y=1[/tex]

Thus y=1

Answer:

2.958

Step-by-step explanation:

Sample mean (x) = 38.2 MPG

Population mean (μ) = 37.9 MPG

Sample size (n) = 140

Standard deviation (σ) = 1.2

The test statistic (Tstat) can be obtained thus :

(x - μ) / σ/sqrt(n)

Tstat = (38.2 - 37.9) / 1.2/sqrt(140)

Tstat = 0.3 / 0.1014185

Tstat = 2.9580401

Test statistic = 2.958

Answer:

Step-by-step explanation:

(4a - 3)/(3b + 1) = 39/(a + 1) You are not going to get a numerical answer for this. Cross multiply

(4a - 3)(a + 1) = 39(3b + 1)

4a^2 + a - 3 = 117b + 39

4a^2 + a - 42 = 117b

b = [tex]\frac{a^2 +a - 42}{117}[/tex]

Answer:

b = 3

Step-by-step explanation:

I think that the relations are the following

[tex]\frac{QP}{XY}=\frac{RS}{VZ}=\frac{PT}{XW}\\\\\frac{39}{13}=\frac{4a-3}{a+1}=\frac{5a+6b}{5b+1}\\\\3=\frac{4a+3}{a-1}=\frac{5a+6b}{5b+1}[/tex]

so we first solve for a and then for b

[tex]3=\frac{4a-3}{a+1}\\\\3(a+1)=4a-3\\\\3a+3=4a-3\\\\4a-3a=3+3\\\\a=6[/tex]

and now for b

[tex]3=\frac{5a+6b}{5b+1}\\\\3(5b+1)=5a+6b\\\\15b+3=5a+6b\\\\15b=5a+6b-3\\\\15b-6b=5a-3\\\\9b=5a-3\\\\b=\frac{5a-3}{9}\\\\b=\frac{5(6)-3}{9}\\\\b=\frac{30-3}{9}\\\\b=\frac{27}{9}\\\\b=3[/tex]

Answer:

5/9

Step-by-step explanation:

(5/6)/1 1/2

5/9

Merry Christmas

Answer:

18

Step-by-step explanation:

Answer:

i) 3/8

ii) -2

Step-by-step explanation:

i) 1/2*3/2/(1/2+3/2)

3/4/2

3/4*1/2

3/8.

ii) 1/2+3/2 / 1/3-3/2

2/-1

-2.

Hope this helps :)

Answer:

40:60:80

Step-by-step explanation:

2x+3x+4x=180 (sum of ang. In tri. Is 180)

X=20

2x is 40

3x is 60

4x is 80

40 plus 60 plus 80 is 180.

Answer:

Ram bought that motorcycle for Rs. 36000

Step-by-step explanation:

Given that:

Amount gained = 25%

Selling price of motorcycle = Rs. 45000

As 100% will be the original price, then 25% will be added into it.

125% will be the new percentage.

Let,

x be the original price of motorcycle.

125% of x = 45000

[tex]\frac{125}{100}x=45000[/tex]

1.25x=45000

Dividing both sides by 1.25

[tex]\frac{1.25x}{1.25}=\frac{45000}{1.25}\\[/tex]

x=36000

Hence,

Ram bought that motorcycle for Rs. 36000

then A If it’s a horizontal line passing through

Answer:

The image below shows the equation x - 2y = 6 being graphed.

Hope this helps! :)

Answer:

There is enough evidence to prove they are congruent. AAS would be what's used in this case.

Step-by-step explanation:

(< = angle)

<B = <Z, <A = <Y, line AC and line XY are equal.

Edit: So it appears that each of the photos are congruent. They have enough labels on them to tell you that their last unidentified angle would have to be congruent as well, meaning that each picture is congruent.

Answer:

b

Step-by-step explanation:

Answer:

reflection!!

Step-by-step explanation: