The equation below has infinitely many solutions.
-53 + 2 + 2x + 4 = ax + b
True
False

Answer:

21

Step-by-step explanation:

We know that the sqaure root of 121 = 11.

So, A - 10 = 11

=> A = 21

Answer:

a = -1 or a = 21

Step-by-step explanation:

take square root of each side to get:

a - 10 = [tex]\sqrt{121}[/tex]

a - 10 = 11;  a = 21

a - 10 = -11;  a = -1

Answer:

a complementary angle adds up to 90 degrees.So 90 minus 64 and the measure of the other angle is 26

Step-by-step explanation:

Hope it helped ;)

Given:

Base dimensions of a rectangular prism = 15 cm × x cm

The height of the prism = 8 cm

Volume of the prism = 600 cm.

To find:

The value of x.

Solution:

Base area of the prism is:

[tex]B=length\times width[/tex]

[tex]B=15\times x[/tex]

[tex]B=15x[/tex]

Volume of the prism is:

[tex]V=Bh[/tex]

Where, B is the base area and h is the height of the prism.

Putting [tex]V=600,B=15x,h=8[/tex], we get

[tex]600=15x\times 8[/tex]

[tex]600=(8)(15)x[/tex]

[tex]\dfrac{600}{(8)(15)}=x[/tex]

Therefore, the correct option is C.

Answer:

A. 7✓6 - 6x✓6

Explanation:

7✓6 - 5x✓6 - x✓6

= 7✓6 - (5x + x)✓6

= 7✓6 - 6x✓6

Answer:

3. The equivalent fractions are presented as follows;

[tex]\dfrac{2}{3} = \dfrac{2 \times 2}{3 \times 2} =\dfrac{4}{6}[/tex]

4.  The equivalent fractions are presented as follows;

[tex]\dfrac{2}{3} = \dfrac{4 \times 2}{4 \times 3} =\dfrac{8}{12}[/tex]

5. The reason why it works is because [tex]\dfrac{1}{8} + \dfrac{1}{8} = \dfrac{1}{4}[/tex]

Step-by-step explanation:

3. Based on the shaded region of the given figures, the two fractions are equivalent

Mathematically, we can show the equivalency of the two fractions as follows;

[tex]\dfrac{2}{3} =\dfrac{2}{3} \times 1 = \dfrac{2}{3} \times \dfrac{2}{2} = \dfrac{2 \times 2}{3 \times 2} =\dfrac{4}{6}[/tex]

Therefore;

[tex]\dfrac{2}{3} = \dfrac{2 \times 2}{3 \times 2} =\dfrac{4}{6}[/tex]

4. From the shaded region of the given figure, the fractions are equivalent

Mathematically, we have;

[tex]\dfrac{2}{3} =\dfrac{2}{3} \times 1 = \dfrac{4}{4} \times \dfrac{2}{3} = \dfrac{4 \times 2}{4 \times 3} =\dfrac{8}{12}[/tex]

Therefore;

[tex]\dfrac{2}{3} = \dfrac{4 \times 2}{4 \times 3} =\dfrac{8}{12}[/tex]

5. The amount of salt required by the recipe = 1/4 teaspoon of salt

The measure of the spoon Jonas has = 1/8 teaspoon

When Jonas adds two 1/8 teaspoons, he gets;

[tex]\dfrac{1}{8} + \dfrac{1}{8} = \dfrac{1 + 1}{8} = \dfrac{2}{8} = \dfrac{2 \times 1}{2 \times 4} = \dfrac{2}{2} \times \dfrac{1}{4} = 1 \times \dfrac{1}{4} = \dfrac{1}{4}[/tex]

Therefore;

[tex]\dfrac{1}{8} + \dfrac{1}{8} = \dfrac{1}{4}[/tex]

Two 1/8 measuring teaspoons are equivalent to one 1/4 teaspoons and therefore Jonas is able to get the 1/4 teaspoons of salt the recipe asks for b combining two 1/8 measuring teaspoons of salt he has because 1/8 + 1/8 = 1/4.

Answer:

the distance between the two points is √130.

Step-by-step explanation:

a^2 + b^2 = c^2

a^2 = 9^2 = 81

b^2 = 7^2 = 49

c^2 = 81 + 49 = 130

c = √130

Answer:

it could also be [tex]\frac{20}{4}[/tex] or [tex]\frac{10}{2}[/tex]

Step-by-step explanation:

Simplify.

[tex]\frac{40}{8}[/tex] ÷ 2 = [tex]\frac{20}{4}[/tex]

[tex]\frac{20}{4}[/tex] ÷ 2 = [tex]\frac{10}{2}[/tex]

Answer:

41.5 Yards

Step-by-step explanation:8 3/10 * 4 = 33.2,

33.2+8 3/10 = 41.5

Answer:

what is the answerrrrrrrrrrrrrrrrr

Step-by-step explanation:

The volume of the cooler is 2772 in³

Volume is the amount of space taken up by an object

The formula for calculating the volume of a rectangular prism is volume = length × width × height.

According to the question

Length= 22in.

breadth= 12 in.

width= 10 1/2  in. or 21/2 in.

So, the volume= 22× 12× (21/2)

                        =2772 in³

Thus the volume of a rectangular prism is 2772 in³

To check more about rectangular prism click here

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Solution :

It is given that four different prizes were awarded. So,

a). 4 ways for person 47 to win a prize

     99 ways to give out the 2nd prize

     98 ways to give the 3rd prize

      97 ways to give the last prize

     ∴  P(99,3) = 99 x 98 x 97

b). 1 way to give person 47 their prize

    1 way to give person 19 their prize

    98 ways to give out the 3rd prize

    97 ways to give out the last prize

    So, P(98,2) = 98 x 97

Answer:

1. 100% Rr is the genotype. Phenotype would be red rose.

2. Genotype is 100% Rr. Phenotype is Tall bean.

3. Genotypes are Rr or rr. 50/50 chance of getting either one. Phenotype would be red rose if the genotype is Rr, phenotype would be white rose if the genotype is rr.

reply to this answer if you would like instructions for how to fill out the squares.

Step-by-step explanation:

the capital letters have to do with dominant genes. the lower case letters have to do with not dominant genes. if you have Rr, it would be a dominant gene bc the capital takes over. if you have rr it would be not dominant gene bc there are only lower case. if you have RR it would be dominant gene bc there are only capital letters.

TIP; genotype is the formula (RR, Rr, or rr) phenotype is physical characteristic.

There is no polynomial attached ; considering the hypothetival

Answer:

x³ = leading term.

2 = leading Coefficient

1 = constant term.

Step-by-step explanation:

Considering an hypothetical situation ;

For any polynomial such as 2x³ + 3x + 1

The polynomial is represented as : ax³ + bx + c

Where a = leading Coefficient ;

x³ = leading term

c = constant term

Therefore ;

The leading term in this hypothetical question is :

x³ = leading term.

2 = leading Coefficient

1 = constant term.

Answer:

Step-by-step explanation:

let CP of the article = x

at 5% gain, SP of article = x + (5/100)x = 1.05x

at 5% loss, SP of article = x - (5/100)x = 0.95x

given that 1.05x - 0.95x = 16.5

⇒ 0.1x = 16.5

⇒ x = 16.5/0.1

⇒ x = Rs. 165.

The cost price of the article is Rs. 165.

.186915888

that is the answer

if I meant 2.675 divided by .5 it is 5.35

Answer:

you can use a calculator but, its 0.1869158878504672897196261682243

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

The Answer is lime 2 if not line 4

Step-by-step explanation:

YEp:)

Answer:

If the triangle is similar then their ratio is also same

x = 8

6 4.8

X =8×6

4.8

x = 10 cm

hope this helps

good day mate

Answer:

A v=2.25   H=1

b. 5.625

Step-by-step explanation:

Answer:

V = 3.90625 cm³

Step-by-step explanation:

Given that V varies directly as h³ then the equation relating them is

V = kh³ ← k is the constant of variation

To find k use the condition

V = 6.75 when h = 3 , then

6.75 = k × 3³ = 27k ( divide both sides by 27 )

0.25 = k

V = 0.25h³ ← equation of variation

(b)

When h = 2.5 , then

V = 0.25 × 2.5³ = 3.90625 cm³

Answer:

I believe the answer to be 5 and 4

The exterior angles of the given triangle are angles 4 and 5

A triangle is a polygon with three sides, angles and vertices.

Given that, a triangle, with angles, 1, 2, 3, 4, 5 we need to find the exterior angles,

An exterior angle of a polygon is the angle that lies outsides of the polygon,

Here, we can see, that only two angles 4 and 5 lies outsides of the triangles

Therefore, the exterior angles are 4 and 5

Hence, the exterior angles of the given triangle are angles 4 and 5

Learn more about triangles, click;

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Answer:

option A

Step-by-step explanation:

thats the answer!!!

Answer:

−

8

n

+

24

Step-by-step explanation:

Answer:

V=141.3

Step-by-step explanation:

V=π*r2*h or V=B.h

V=3.14*(3*3)*5

V=3.14*9*5

V=141.3

Answer:

x = 6

Step-by-step explanation:

We solve that above question using the trigonometric function of Tangent

Tan theta = Opposite/Adjacent

Theta = 45°

Opposite = 6

Adjacent = x

tan 45° = 6/x

tan 45 in rational form = 1

1 = 6/x

Cross Multiply

x = 6